Answer: The estimated mean mathematics test score for the students is 685.7.
Step-by-step explanation: To estimate the mean mathematics test score, we can use the midpoint of each data class and the formula for calculating the weighted mean:
Midpoint of 550-599 class = (550 + 599) / 2 = 574.5
Midpoint of 600-649 class = (600 + 649) / 2 = 624.5
Midpoint of 650-699 class = (650 + 699) / 2 = 674.5
Midpoint of 700-749 class = (700 + 749) / 2 = 724.5
Midpoint of 750-799 class = (750 + 799) / 2 = 774.5
Weighted mean = (frequency of 550-599 class * midpoint of 550-599 class + frequency of 600-649 class * midpoint of 600-649 class + frequency of 650-699 class * midpoint of 650-699 class + frequency of 700-749 class * midpoint of 700-749 class + frequency of 750-799 class * midpoint of 750-799 class) / (total frequency)
Weighted mean = (6 * 574.5 + 10 * 624.5 + 15 * 674.5 + 12 * 724.5 + 8 * 774.5) / (6 + 10 + 15 + 12 + 8)
Weighted mean = 685.7 (rounded to one decimal place)
Therefore, the estimated mean mathematics test score for the students is 685.7
Jose is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $137 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.90 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Based on this inequality, 137 < 65 + 0.9m for driving more than 80 miles, Company A will charge less than Company B.
What is inequality?Inequality refers to the mathematical statement that two or more equations are unequal.
Inequalities are represented by:
Greater than (>)Less than (<)Greater than or equal to (≥)Less than (≤)Not equal to (≠).The total charge by Company A for renting a truck for a day = $137
The total charge by Company B for renting a truck for a day = 65 + 0.9m
Let m = the number of miles driven.
Inequality:137 < 65 + 0.9m
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The image on a movie poster was shrunk to make DVD cover art for the movie so that the cover art is a scale image of the poster. The poster is 72 inches wide, and the DVD cover art is 6 inches wide. If the poster is 9 feet, what is diagonal of the DVD cover art
Answer:
8 inches answer
Step-by-step explanation:
Similar shapes :-
first convert everything to inches 6 feet = 72 inches
5 / 45 = x / 72
1/9 = x / 72
x = 72/9 = 8 inches
Steph has 8 gallons of water. Ryan has 30 quarts of water. How many more pints of water does Steph have than Ryan?
On the Y axis we have the profit from the trucking company and on the X axis we have the miles the truck has traveled. The company decided that they needed to start paying for a driver at a price of 0.25 cents a mile. After this change what will happen to the x and y axis/slope?
A. Y intercept will be less and X will be less
B. Y intercept will be less and X intercept will be greater
C. Y intercept will be greater and X will be greater
D. Y intercept will be greater and X will be less
The correct answer is: A.Y intercept will be less and X will be less.
What do you understand by the term Slope ?The slope is computed as the ratio of the change in the y-axis to the change in the x-axis. The slope of a straight line will describe the line's angle of steepness from the horizontal whether it rises or falls. When the line neither rises nor falls, then its slope will be zero.
Increasing driver costs by 0.25 cents per kilometer increases the truck's operating costs for each kilometer driven. This means that the profit of the transport company is reduced by 0.25 cents for each kilometer driven.
Assuming that the relationship between profit and miles driven remains linear, this change causes a downward shift in the graph between total profit and miles driven, as the y-intercept of the line decreases as the cost per mile increases.
Therefore, the correct answer is:
A. The Y-intercept is smaller and the X-intercept is smaller.
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Draw the reflection of the triangle across the y-axis.
Answer:
top one (8,8) lowest one (7,1) and the last one (4,3)
Step-by-step explanation:
when you reflect something over the y axis the y stays the same only the X changes when its for the x its the othe way around X stays the same Y changes so for this problem we just move it to the right and get those coordinates.
PLS GIVE BRAINLIST MEAN A LOT
have a good day :)
17 The diagram shows triangle ABC.
A
45°
7m
8m
C
'В
B
18
Not to scale
Find the area of the triangle.
Give your answer in the form a √b where a and b are integers.
The area of the triangle is 14√2m²
What is area of a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object
The area of a triangle is expressed as;
A = 1/2 absinC
where a = 7m, b = 8m and C = 45°
sin45° = 1/√2
therefore,
A = 1/2 ×7× 8× 1/√2
A = 28/√2
rationalizing 28/√2
= 28√2/(√2×√2)
= 28√2/2
= 14√2m²
therefore the area of the triangle is 14√2m²
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What is an equation of the line that passes through the point (6,6) and is parallel to the line 3x−2y=4
Answer:
Fraction: y= 3/2x-3
or
Decimal: y= 1.5x-3
Step-by-step explanation:
Turn 3x-2y=4 into y=mx+b form
Subtract 3x from both sides
-2y=4-3x
Divide -2 from both sides
y= -2+3/2x
y= 3/2x-2
Since the line is parallel, use slope 3/2
Put point (6,6) into equation to find b
6=3/2(6) + b
6=9 + b
-3 = b
Put into equation
y= 3/2x-3
The distance between the office and house of Mr.Samraan dude is 1 km 200m.Everyday he walks both ways. Total distance he walks in a week
One way = 1.2 km
2 way = 2.4 km
One week = 7 days
Therefore, he walks 7 x 2.4 = 16.8 km every week.
Supposed a certain game is fair and costs $6 if you lose and has a net payoff of $3 if you win. The only possible outcomes of the game are winning and losing.
if the game is fair, it will have a probability of 2/3 of winning and a probability of 1/3 of losing. The expected value of playing the game is zero, meaning that over the long run, the cost of playing the game will be offset by the winnings.
what is value?
In a general sense, "value" refers to the worth or importance that someone or something holds. It is a subjective concept that can vary from person to person or situation to situation.
In economics and finance, value often refers to the monetary or market value of a good, service, or asset. This value is typically determined by factors such as supply and demand, scarcity, production costs, and consumer preferences.
Based on the given information, we can calculate the expected value of playing this game as follows:
Expected value = (Probability of winning x Net payoff if you win) - (Probability of losing x Cost if you lose)
Expected value = (P(win) x $3) - (P(lose) x $6)
For a fair game, the expected value should be equal to zero, so we can set the equation equal to zero and solve for the probability of winning:
0 = (P(win) x $3) - (1 - P(win)) x $6
0 = $3P(win) - $6 + $6P(win)
$6 = $9P(win)
P(win) = 2/3
Therefore, the probability of winning this game is 2/3, and the probability of losing is 1/3.
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Why will there always be an upside down triangle??
Answer:
Step-by-step explanation:
yes
Let f(x) = x² - 5.
Let g(x) = (x + 3)² - 8.
Select all statements below that describe the transformation of f(x) to g(x).
Select 2 correct answer(s)
horizontal translation 3 units left
vertical translation 3 units up
horizontal translation 3 units right
vertical translation 3 units down
All statements that describe the transformation of f(x) to g(x) include the following:
A. horizontal translation 3 units left.
D. vertical translation 3 units down.
What is a translation?In Mathematics and Geometry, the vertical translation a geometric figure or graph downward simply means adding a digit to the value on the y-coordinate of the pre-image or function.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.In this scenario, we can logically deduce that the graph of the parent function f(x) = x² - 5 was translated or shifted to the left (horizontally) by 3 units and downward (vertically) by 3 units;
f(x) = x² - 5.
g(x) = (x + 3)² - 5 - 3
g(x) = (x + 3)² - 8
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As a construction manger, you are asked to build a new road which crosses the point (5,3). There is another road already built whose location can be expressed as y=5x-2. you are asked to build your road such that it intersects making a right angle on the blue-print. write a statement to represent the locations of the new road and the road is already built. provide evidence that algebraically justifies your responses
The product of the slopes is -1, we can conclude that the two roads intersect at a right angle at the point (10/11, 18/11).
What is slope?
In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.
To build the new road such that it intersects the existing road at a right angle at the point (5,3), we can start by determining the slope of the existing road.
The slope of the existing road, given by the equation y=5x-2, is 5. This is because the equation is in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. Therefore, we know that the slope of any line perpendicular to this road will be -1/5, since the product of the slopes of perpendicular lines is -1.
To find the equation of the new road, we can use the point-slope form of a linear equation, which is y-y1=m(x-x1). We know that the new road passes through the point (5,3) and has a slope of -1/5. So, substituting these values into the equation gives:
y - 3 = (-1/5)(x - 5)
Simplifying this equation, we get:
y = (-1/5)x + 4
Therefore, the equation of the new road is y = (-1/5)x + 4, and the equation of the existing road is y = 5x - 2. These two equations represent the locations of the new road and the existing road, respectively.
To verify that the new road intersects the existing road at a right angle, we can find the point of intersection of the two roads and then check that the product of the slopes of the two lines is -1.
To find the point of intersection, we can set the two equations equal to each other:
(-1/5)x + 4 = 5x - 2
Solving for x, we get:
x = 10/11
Substituting this value of x back into either equation gives:
y = 18/11
So the point of intersection is (10/11, 18/11).
Now, to check that the two roads intersect at a right angle, we can find the slopes of the two lines and check that their product is -1:
Slope of existing road, m1 = 5
Slope of new road, m2 = -1/5
Product of slopes, m1m2 = 5(-1/5) = -1
Since the product of the slopes is -1, we can conclude that the two roads intersect at a right angle at the point (10/11, 18/11).
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Answer please quick!!!!!!!!!!!!
A statement which is necessarily true if BD is an altitude to the hypotenuse of right ΔABC include the following: B. ΔADB ~ ΔBDC.
What is a right angle?In Mathematics and Geometry, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees.
In Mathematics and Geometry, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In conclusion, we can reasonably infer and logically deduce that triangle ADB is similar to triangle BDC because line segment BD is an altitude to the hypotenuse of right ΔABC
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The ceiling in Clara’s basement is 2.75 meters high. When Clara jumps she is 18 centimeters short of being able to touch the ceiling. How high can Clara reach when she jumps?
Clara can reach a height of 2.57 meters when she jumps.
Given information:
The ceiling in Clara’s basement is 2.75 meters high.
When Clara jumps she is 18 centimeters short of being able to touch the ceiling.
We can start by converting the height of the ceiling and Clara's jump to the same units, either meters or centimeters. Let's convert Clara's jump to meters:
18 centimeters = 0.18 meters
Now we can subtract Clara's jump from the height of the ceiling to find how high she can reach:
2.75 meters - 0.18 meters = 2.57 meters
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The options that are correct representations of the inequality are:
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:
-6x - 15 < 10 - 5x
and
x < 5
Therefore, the options that are correct representations of the inequality are:
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.Note that both of these options represent the solution to the inequality, but in different ways. The first option represents the solution as all values of x greater than 5, while the second option represents the solution as all values of x less than -5.
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What is the total amount of outcomes possible when a coin is tossed four times and a card if selected from a standard deck of cards.
Answer:
About 60 pecent
Step-by-step explanation:
Answer: 832 possible outcomes
To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.
The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:
2 x 2 x 2 x 2 = 16
The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:
16 x 52 = 832
So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.
Mr. Smith and Mr. Stein were driving to a business meeting 140 miles from their office. Mr. Smith drove the first
miles, then Mr. Stein drove the rest of the way.
Write an algebraic expression for how many miles Mr. Stein drove
This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.
How to determine the algebraic expression?An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.
Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is [tex]140 - x[/tex] , since they drove a total of 140 miles and Mr. Smith already drove x miles.
the algebraic expression for how many miles Mr. Stein drove is:
[tex]140 - x[/tex]
Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.
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Determine the following probabilities. Enter your final answers as reduced fractions.
A single digit between
0
and
9
is randomly chosen, and a single letter from A to Z is randomly chosen.
Find the probability that the number is
6
and the letter is a consonant.
The probability that the number is 6 and the letter is a consonant is 3/40.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The probability of choosing the number 6 is 1/10, since there are 10 possible digits to choose from (0 to 9) and each is equally likely to be chosen.
The probability of choosing a consonant from the alphabet depends on the definition of "consonant". If we define consonants as all the letters in the alphabet except for A, E, I, O, and U (i.e., the vowels), then there are 21 consonants in the alphabet.
The total number of letters in the alphabet is 26, so the probability of choosing a consonant is 21/26
To find the probability that the number is 6 and the letter is a consonant, we need to multiply the probabilities of these events occurring independently:
P(number is 6 and letter is a consonant) = P(number is 6) * P(letter is a consonant)
= (1/10) * (21/26)
= 21/260
= 3/40
Therefore, the probability that the number is 6 and the letter is a consonant is 3/40.
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Mekhi just graduated college and is starting his first job. He is investing money into a savings account to plan for retirement. He has $15,000 to invest in a savings account with a 3.25% APR.
6. Write an equation that models Mekhi's savings account.
7. Write the equation in slope-intercept form.
8. y-value-
slope-
9. How much money will be in the savings account if Mekhi wants to retire 30 years
later?
10. How many years would Mekhi have to work to retire with $35,000?
Answer:
6. The equation that models Mekhi's savings account is:
A = P(1 + r/n)^(nt)
Where:
A = the amount of money in the account after t years
P = the initial investment ($15,000 in this case)
r = the annual interest rate (3.25% or 0.0325 as a decimal)
n = the number of times interest is compounded per year (usually 12 for monthly compounding)
t = the number of years
7. To write the equation in slope-intercept form, we need to simplify it:
A = P(1 + r/n)^(nt)
A = $15,000(1 + 0.0325/12)^(12t)
A = $15,000(1.00271)^(12t)
A = $15,000(1.00271)^12 * (1.00271)^t
A = $15,000(1.34685)^(t)
This is in exponential form, so there is no y-intercept or slope.
8. y-value: A, the amount of money in the account after t years
slope: There is no slope in an exponential equation.
9. To find out how much money will be in the savings account after 30 years:
A = $15,000(1.34685)^30
A = $15,000(10.638)
A = $159,570
Therefore, if Mekhi saves $15,000 in a savings account with a 3.25% APR for 30 years, he will have $159,570 when he retires.
10. To find out how many years Mekhi would have to work to retire with $35,000:
$35,000 = $15,000(1.34685)^t
1.34685^t = 35,000/15,000
1.34685^t = 2.3333
t = log(2.3333) / log(1.34685)
t = 9.93
Therefore, Mekhi would need to work for approximately 9.93 years (or about 10 years) to retire with $35,000, assuming he does not make any other contributions to his savings account.
Which of the following a maximum and minimum points of the function Y= 2 cos x-1
Answer:
Use the derivative to find the maximum and minimum.
(0, 1) is a local maxima
(π, -3) is a local minima
Step-by-step explanation:
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y=2cos(x)-1
Amplitude: 2
Period: 2π
Phase Shift: None
Vertical Shift: -1
x f(x)
0, 1
π/2, -1
π, -3
3π/2, -1
2π, 1
To identify the maximum and minimum points of the function y = 2 cos x - 1, we need to find the critical points and check the sign of the second derivative at those points.
Taking the first derivative of the function, we get:
y' = -2 sin x
Setting y' to zero, we get:
-2 sin x = 0
sin x = 0
This occurs at x = nπ, where n is an integer.
Taking the second derivative of the function, we get:
y'' = -2 cos x
At x = nπ, the second derivative is:
y''(nπ) = -2 cos (nπ) = (-1)^n*2
When n is even, y''(nπ) is positive, so the function has a minimum at x = nπ.
When n is odd, y''(nπ) is negative, so the function has a maximum at x = nπ.
Therefore, the minimum values of the function occur at x = 2nπ, and the maximum values occur at x = (2n + 1)π, where n is an integer.
Adan joins a bowling team.
The first week, he bowls 3
games to determine his average.
His scores are 125
, 152
, and 146
.
What is Adan's mean score?
Answer:
141
Step-by-step explanation:
152 + 125 + 146 = 423
423/3 = 141
(423 divided by 3)
Determine the number of compounding periods for the following investment
Principal: $1832
Future value $2193
Interest rate 8.1%
Frequency of conversion monthly
Answer: There is 1 compounding period for this investment.
Step-by-step explanation: To determine the number of compounding periods, we can use the following formula:
n = (t / p) * m
where:
n = number of compounding periods
t = time period in years
p = payment frequency per year
m = compounding frequency per payment period
In this case, we have:
Principal = $1832
Future value = $2193
Interest rate = 8.1%
Payment frequency = 12 (monthly)
First, let's calculate the time period in years:
t = 1 year / 12 months = 0.0833 years
Next, let's determine the compounding frequency per payment period:
m = 12 (since interest is compounded monthly)
Now we can calculate the number of compounding periods:
n = (t / p) * m = (0.0833 / 1) * 12 = 1
Therefore, there is 1 compounding period for this investment.
To find the number of compounding periods, we can use the formula:
n = (t x f)
where:
n = number of compounding periods
t = time in years
f = frequency of conversion
We are given that the principal is $1832, the future value is $2193, the interest rate is 8.1%, and the frequency of conversion is monthly. We need to find the time in years.
To find the time in years, we can use the formula:
FV = PV x (1 + r/n)^(nt)
where:
FV = future value
PV = present value
r = interest rate
n = number of compounding periods per year
t = time in years
Substituting the given values, we get:
$2193 = $1832 x (1 + 0.081/12)^(12t)
Simplifying this equation, we get:
1.1971^(12t) = 1.1971
Taking the natural logarithm of both sides, we get:
12t x ln(1.1971) = ln(1.1971)
Solving for t, we get:
t = ln(1.1971) / (12 x ln(1.1971))
t = 3 years
Now that we know the time in years, we can find the number of compounding periods:
n = (t x f)
n = (3 x 12)
n = 36
Therefore, the number of compounding periods is 36.
What is the volume of the figure below? (Just put the number answer.)
Answer: 96ft³
Step-by-step explanation:
Answer:
96 ft³
Step-by-step explanation:
Volume = w × l × h
= 4 × 8 × 3
= 96 ft³
Asmita left for her friend's. She visited her friend at her (latter's) home lying at a distance fo 5 km north-east. From there she left for her maternal uncle's home which lies at a distance of 4 km from her friend's. Now in which direction and how far is she now from her home?
Answer: Asmita is currently located about 6.4 km northeast of her home.
Step-by-step explanation: Asmita started from her home and went to her friend's house located 5 km northeast from her home. Then she traveled to her maternal uncle's house, which is located 4 km away from her friend's house.
To determine the direction and distance of Asmita's current location from her home, we need to combine these two displacements. One way to do this is to use vector addition.
If we draw a diagram with her home as the origin, we can represent the first displacement (from her home to her friend's house) as a vector pointing 5 km northeast. We can represent the second displacement (from her friend's house to her maternal uncle's house) as a vector pointing 4 km east.
To find the total displacement, we add these two vectors using vector addition. The resulting vector points northeast but is longer than the first vector (5 km) because it includes the second displacement (4 km). Using trigonometry, we can calculate that the length of the resulting vector is approximately 6.4 km.
Therefore, Asmita is currently located about 6.4 km northeast of her home.
5. Which choice below is an approximate volume of oil that the
tank below can hold?
A.119,000 ft³
B.2,000 ft³
C.6,100 ft³
D478,000 ft³
78ft and 25ft
OIL TANK
An approximate volume of oil which the tank below can hold is most closest to [tex]119,000ft^{3}[/tex]. The Option A is correct.
How can we find volume of the tank?We will use V = πr²h to find the volume of a cylinder. Our height and the diameter of the tank are 78ft and 25ft.
We can find the radius by dividing the diameter by 2. The radius is:
= 78ft / 2
= 39ft
The volume of the tank will be:
= π(39ft)²(25ft)
= 3.14*39ft*39ft*25ft
= 119398.5
= 119,399 ft.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answer:
The line of best fit can be used to make predictions of GPA based on SAT scores.
Step-by-step explanation:
Due to the somewhat accurate correlation between the line of best fit and the scatter plots, it is safe to say that the line of best fit is able to provide an accurate translation as to if the SAT is correlated with the student's GPA.
Refer to the figure for Problems 11-16. The radii of the circles are 2 inches, 4 inches, 6 inches, and 8 inches. Determine the probability that a point randomly chosen in the figure is in each described region. Write each probability as a fraction.
The probability of a point randomly chosen in region A is 3/16
The probability of a point randomly chosen in region A or B is 1/4
The probability of a point randomly chosen in region B is 5/16
The probability of a point randomly chosen in regions A, B, or C is 9/16
The probability of a point randomly chosen in region C is 7
What are the probabilities?The probabilities are found as follows:
Area of region A = πB² - πA²
Area of region A = π(4² - 2²)
Area of region A = 12π
The total area of the figure is the area of the largest circle with radius 8 inches:
Total area = π(8²)
Total area = 64π
The probability of a point randomly chosen in region A = 12π / 64π
The probability of a point randomly chosen in region A = 3/16
Area of region A or B = π(4²)
Area of region A or B = 16π
The probability of a point randomly chosen in region A or B = 16π / 64π
The probability of a point randomly chosen in region A or B = 1/4
Area of region B = π(6² - 4²)
Area of region B = 20π
The probability of a point randomly chosen in region B = 20π / 64π
The probability of a point randomly chosen in region B = 5/16
Area of region A, B, or C = πC²
The probability of a point randomly chosen in region A, B, or C = πC² / 64π
The probability of a point randomly chosen in region A, B, or C = 9/16
Area of region C = π(8² - 6²)
Area of region C = 28π
The probability of a point randomly chosen in region C = 28π / 64π
The probability of a point randomly chosen in region C = 7
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What is/are the zero(s) for quadratic function f(x) = 3x^2 + 30x +63?
Answer: -7, -3
Step-by-step explanation:
Zeroes mean x's or roots
f(x) = [tex]3x^{2} +30x+63[/tex] take out the greatest common factor, all the terms can be divided by 3
f(x) = [tex]3(x^{2} +10x+21)[/tex]
You can factor to find the zeros. Factoring means to find 2 things that multiply to make original.
To factor, Find 2 numbers that multiply to the last number (21) but add to middle(10)
7 and 3 multiply to +21 and add to +10
put the 2 numbers you found in factor form
f(x)=3(x+7)(x+3) Zeroes happen when y=0 you will solve for x
you can set each of the parentheses equal to 0 to solve for x
(x+7)=0 and (x+3)=7
x= -7 x= -3 these are your zeroes
what happened when a six year old, a five year old, a four year old, a three year old and a two year old joined to form a basketball team?
The thing that happened when a six year old, a five year old, a four year old, a three year old and a two year old joined to form a basketball team is that they were oneless.
What is the basketball team?Numerous puzzles exist in the world that remain unsolved despite countless attempts to unravel their mysteries. Their language is constantly full of cryptic expressions. We are facing two puzzles that have yet to be solved.
Therefore. A puzzle is a statement, question, or phrase that carries a hidden or ambiguous meaning, presented as a challenge to be deciphered. There are two varieties of riddles: enigma and conundra, which utilize wordplay in their questions or answers to produce a comedic effect.
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x=? image attached please help
Answer:
i believe it's 8
Step-by-step explanation:
its just a hunch
