Answer:
41
Step-by-step explanation:
[tex]24*2-7=\\48-7=\\41[/tex]
Please answer this correctly
Answer:
Yes
Step-by-step explanation:
Movies was chosen randomly, stores have an equal number of movies.
So, this sample should be representative.
Any help please and thank you (picture included)
Answer:
15 units
Step-by-step explanation:
1. Find the corresponding lengths of the triangles.
9/x = x/ (9+16)
9/x = x/25
2. Solve for x.
Multiply both sides by x.
9 = x²/25
Multiply both sides by 25.
225 = x²
Square root both sides to solve for x.
√225 = √x²
x = 15
Translate the words into math symbols. The difference of nine and a number is three. What steps would you take to translate the statement? Check all that apply
Answer:
9-x=3
x=9-3=6
x=6
9-6=3
Answer:
B,C,D,F
Step-by-step explanation:
i took the test and i got it right!!!!
Plz ASAP Which expression is equivalent to -8
A) -2^-3
B) (-1/2)^-3
C) (1/2)^-3
D) 2^-3
Answer:
Option "B" is the correct answer to the following question.
Step-by-step explanation:
[tex](\frac{-1}{2} )^{-3}[/tex]
-2\times -2\times -2
[tex](\frac{1}{a} )^{-m}= a^m[/tex]
So,
[tex](\frac{-1}{2} )^{-3} = (-2)^3\\\\(-2)^3 = -2\times -2\times -2\\\\ -2\times -2\times -2=-8[/tex]
Therefore, Option "B" is the correct answer
For each part, compare distributions (1) and (2) based on their medians and IQRs. You do not need to calculate these statistics; simply state how the medians and IQRs compare. Make sure to explain your reasoning
a. (1) 3,5,6,7,9
(2) 3,5,6,7,20
b. (1) 1,2,3,4,5
(2) 6,7,8,9,10
c. (1) 3,5,6,7,9
(2) 3,5,7,8,9
d. (1) 0,10,50,60,100
(2) 0,100,500,600,1000
Answer:
a) The two distributions have the same median (6) but the 2nd distribution has a larger IQR (9.5 > 4).
b) The two distributions have a different median with distribution 2 having a bigger median (8 > 3), but they both have the same IQR (3).
c) The 2nd distribution has a slightly bigger median (7 > 6) and a slightly bigger IQR (4.5 > 4) than the 1st distribution.
d) The 2nd distribution consists of variables that are way bigger than those of the 1st distribution, hence, the median and IQR of the 2nd distribution are about ten folds of that of the 1st distribution.
Step-by-step explanation:
For any distribution,
The median is the variable at the middle when all the variables in the dsitribution are arranged in ascending or descending order.
The median is the (n+1)/2 th variabke.
where n = size of the distribution or number of variables. For these questions, the sample size is 5, hence, the median will always be the 3rd variable when the variables are arranged in ascending or descending order.
The IQR, known as the inter quartile range is a measure of dispersion for the distribution. Although, it isn't as effective as other measures of dispersion such as the standard deviation because the IQR unlike the the standard deviation isn't responsive to changes in the variables, especially ones at the end of the distribution.
The IQR is simply given mathematically as the third quartile minus the first quartile.
IQR = (Third quartile) - (First quartile)
Third quartile is the 3(n+1)/4 th variable. For a sample of n=5, the third quartile is the 4.5th variable, that is the average of the 4th and 5th variable.
First quartile is the (n+1)/4 th variable. For a sample of n=5, the first quartile is the 1.5th variable, that is the average of the 1st and 2nd variable.
Taking the questions one at a time
a) (1) 3,5,6,7,9
Median = 3rd variable = 6
Third quartile = (7+9)/2 = 8
First quartile = (3+5)/2 = 4
IQR = 8 - 4 = 4
(2) 3,5,6,7,20
Median = 3rd variable = 6
Third quartile = (7+20)/2 = 13.5
First quartile = (3+5)/2 = 4
IQR = 13.5 - 4 = 9.5
The two distributions have the same median (6) but the 2nd distribution has a larger IQR (9.5 > 4).
b) (1) 1,2,3,4,5
Median = 3rd variable = 3
Third quartile = (4+5)/2 = 4.5
First quartile = (1+2)/2 = 1.5
IQR = 4.5 - 1.5 = 3
(2) 6,7,8,9,10
Median = 3rd variable = 8
Third quartile = (9+10)/2 = 9.5
First quartile = (6+7)/2 = 6.5
IQR = 9.5 - 6.5 = 3
The two distributions have a different median with distribution 2 having a bigger median (8 > 3), but they both have the same IQR (3).
c) (1) 3,5,6,7,9
Median = 3rd variable = 6
Third quartile = (7+9)/2 = 8
First quartile = (3+5)/2 = 4
IQR = 8 - 4 = 4
(2) 3,5,7,8,9
Median = 3rd variable = 7
Third quartile = (8+9)/2 = 8.5
First quartile = (3+5)/2 = 4
IQR = 8.5 - 4 = 4.5
The 2nd distribution has a slightly bigger median (7 > 6) and a slightly bigger IQR (4.5 > 4) than the 1st distribution.
d) (1) 0,10,50,60,100
Median = 3rd variable = 50
Third quartile = (60+100)/2 = 80
First quartile = (0+10)/2 = 5
IQR = 80 - 5 = 75
(2) 0,100,500,600,1000
Median = 3rd variable = 500
Third quartile = (600+1000)/2 =800
First quartile = (0+100)/2 = 50
IQR = 800 - 50 = 750
The 2nd distribution consists of variables that are way bigger than those of the 1st distribution, hence, the median and IQR of the 2nd distribution are about ten folds of that of the 1st distribution.
Hope this Helps!!!
Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60 mi divided by hr60 mi/hr. After half an hour, how fast is the distance between the boats increasing?
Answer: the rate at which the distance between the boats is increasing is 68 mph
Step-by-step explanation:
The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.
Let x represent the length the shorter leg(south) of the right angle triangle.
Let y represent the length the longer leg(east) of the right angle triangle.
Let z represent the hypotenuse.
Applying Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156
z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
Suppose that in a particular country, the probability that a randomly chosen person is a left-handed baseball player is 0.0150.015 and the probability that a randomly chosen baseball player is left-handed is 0.240.0.240. Based on these probabilities, determine the probability, p,p, that a randomly chosen person from this country plays baseball. Give your answer as a decimal precise to at least three decimal places.
Answer:
0.0625
Step-by-step explanation:
Given:
P(left-handed person is a baseball player ) = 0.015
P(baseball player is a lefthanded person) = 0.240
Required:
Find the probability, that a randomly chosen person from this country plays baseball.
Let,
A = event of being a baseball player
B = event of player being left handed.
Therefore,
P(A and B) = 0.015
P(B|A) = 0.240
To find the probability, that a randomly chosen person from this country plays baseball, use the formula:
P(A) = P(A and B) / P(B|A)
Thus,
[tex]P(A) = \frac{0.015}{0.240}[/tex]
[tex]P(A) = 0.0625[/tex]
Therefore
The probability, that a randomly chosen person from this country plays baseball is 0.0625
At the start of an experiment, the temperature of a solution was-12 degrees Celsius. During the experiment, the temperature of the solution rose 5 degrees Celsius each hour for 4 hours. Then the temperature changed by-3 degrees Celsius and remained steady. What was the final temperature of the solution? -11 degrees Celsius -5 degrees Celsius 5 degrees Celsius 11 degrees Celsius
Answer:
5 °Celsous
Step-by-step explanation:
-12 + (5 +5+5+5)-3=
-12 + 20 - 3 =
-12 + 17 = 5
Answer:
C
Step-by-step explanation:
i did the test
The amount of energy it takes to lift a box might be a function of which of the
following?
A. The weight of the objects inside the box
OB. The shape of the box
C. The time of day that you are lifting it
Answer:
A. The weight of the objects inside the box
Step-by-step explanation:
The energy required to lift a box is a function of the weight of it and of the distance it is lifted.
_____
In physics terms, the energy is the product of force and distance. The applicable force when lifting the box is the weight of the box (the box itself and any objects inside).
in a classroom 5/8 of the students are wearing blue shirts and 1/4 for wearing white shirts there are 24 students in the classroom how many are wearing shirts other than blue shirts and
Answer:
3
Step-by-step explanation:
Those wearing a shirt of another color are ...
1 - 5/8 -1/4 = 8/8 -5/8 -2/8 = 1/8
of the total number of students in the classroom
(1/8)×(24 students) = 3 students . . . . wearing another color
_____
Alternate solution
With the given information, you know ...
(5/8)(24) = 15 . . . students wear blue
(1/4)(24) = 6 . . . . students wear white
24 -15 -6 = 3 . . . students wear another color
is domain of f(x,y) = 1 + (4 -y^2)^1/2 open, closed or neither
is it bounded or unbounded?
Answer:
Closed and Bounded.
Step-by-step explanation:
Hi there!
1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:
[tex]f(x,y) = 1 + (4 -y^2)^{\frac{1}{2}} \:id\:est\:f(x,y)=1+\sqrt{(4 -y^2)}[/tex]
Since every quadratic root are defined for values [tex]\geq[/tex] 0 then, this help us to understand that we need calculate what interval this Domain is:
[tex]4-y^{2} \geq 0\\4-y^{2}-4\geq -4\\-y^{2}\geq-4 \\y^{2}\leq4\\-2\leq y\leq 2[/tex]
[tex]D=[-2,2][/tex]
2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.
Bounded functions have all of their points contained by some circle origin centered. Check it out below.
After teaching a class on game theory, your instructor announces that if every student forgets to bring the final homework assignment, everyone will receive full credit for that assignment. However, if one or more students turn in the final homework, all responses will be graded and anyone who forgets to bring the final homework assignment will get a zero. Assume that there is no chance for you and your classmates to discuss the situation before working on the assignment. Will the entire class fail to turn in the homework
Options:
a) No, because the dominant strategy of the best prepared students is to post to the discussion board
b) Yes, because everyone assumes that all other classmates will not post a response
c) Yes, because this strategy offers the best result for everyone
d) No, because there is always at least one selfish person in the class who will post to the discussion board
Answer:
a) No, because the dominant strategy of the best prepared students is to post to the discussion board
Step-by-step explanation:
Points to note:
1) If every student forgets to bring the final homework assignment, everyone will receive full credit for the assignment
2) If one or more students turn in the final homework, all responses will be graded and anyone who forgets to bring the final homework assignment will get a zero
The best prepared student is not satisfied with everybody receiving equal marks. He wants to score more since he is the most prepared. He knows that if he submits to the discussion board and the works are graded, he will score higher than everyone else.
In game theory, the dominant strategy is the strategy that gives the greatest satisfaction to the player.
Therefore, the dominant strategy for the best prepared student will be to submit the assignment and score higher than the other students when the works are graded.
Carlos found that the length of the diagonal of his laptop monitor is StartRoot 290 EndRoot. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal? 12 17 97 245
The correct answer is
B) 17
I just took the quiz on edge
Answer:
it is 17
Step-by-step explanation:
i got it right on my test review
Find the answer of this question
Answer:
84 cm
Step-by-step explanation:
area of a parallelogram is bh
so 12(7)
A rectangle is 4.2 centimetres wide and each diagonal is 8.6 centimetres long. What is the measure of the angle between a diagonal and the shorter side of the rectangle, to the nearest tenth of a degree?
Answer:
[tex] 60.8^\circ [/tex]
Step-by-step explanation:
First, let's check side lengths.
Using the Pythagorean theorem we can find the length of the other side of the rectangle.
a^2 + b^2 = c^2
4.2^2 + b^2 = 8.6^2
b^2 = 56.32
b = 7.5
The other side of the rectangle measures 7.5 cm, so now we know that 4.2 cm is indeed the shorter side of the rectangle.
For the angle in question, the 4.2 cm side is the adjacent leg.
The diagonal of 8.6 cm is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
[tex] \cos \alpha = \dfrac{adj}{hyp} [/tex]
[tex] \cos \alpha = \dfrac{4.2~cm}{8.6~cm} [/tex]
[tex] \alpha = \cos^{-1} \dfrac{4.2~cm}{8.6~cm} [/tex]
[tex] \alpha = 60.8^\circ [/tex]
Determine the growth factor corresponding to 325% increase
Answer:
4.25
Step-by-step explanation:
The growth factor is 1 more than the growth rate. The growth rate is the rate of increase in a given time period.
1 +325% = 1 +3.25 = 4.25
The growth factor is 4.25.
_____
The "increase" amount is what is added to the original. The growth factor is the multiplier of the original.
x + 325%·x = x(1 +3.25) = 4.25x
Consider three consecutive positive integers, such that the sum of the
squares of the two larger integers is 5 more than 40 times the smaller
one. Find the smaller integer.
Answer:
17
Step-by-step explanation:
Let x represent the smaller integer. Then we have ...
(x +1)² +(x +2)² = 40x +5
2x² +6x +5 = 40x +5
x² -17x = 0 . . . . . subtract (40x+5), divide by 2
x(x -17) = 0 . . . . . factor
The solution of interest is x = 17.
The smaller integer is 17.
A tree and a flagpole are on the same
horizontal ground A bird on top of the
tree observes the top and bottom of the
flagpole below it at angles of 45° and bo'
respectively. if the tree is 10.65 mhigh,
Calculate Correct to 3
figis
the height of the flagpole
significant
ures
Answer:
The height of the flagpole = 4.50m (3signifiant figures)
Question:
A tree and a flagpole are on the same
horizontal ground. A bird on top of the
tree observes the top and bottom of the flagpole below it at angles of 45° and 60° respectively. If the tree is 10.65 m high, Calculate Correct to 3 significant figures the height of the flagpole.
Step-by-step explanation:
First we have to represent the above information with a diagram to enable us solve the question.
Then label them for easy identification.
To determine the distance between the tree and flagpole, we would apply tangent rule.
Let their distance = x
Tan60 = opposite/adjacent
Tan60 = 10.65/y
Tan60 × y = 10.65
y = 10.65/Tan60
y = 10.65/1.7321
y = 6.15m
See attachment for the concluding part
Which is the solution to the equation 0.5 x + 4.2 = 5.9? Round to the nearest tenth if necessary. 0.9 3.4 5.1 20.2
Answer:
x = 3.4
Step-by-step explanation:
Step 1: Isolate x
0.5x = 1.7
Step 2: Divide both sides by 0.5
x = 3.4
And we have our final answer!
Answer: x=3.4
Step-by-step explanation:
[tex]0.5x+4.2=5.9[/tex]
multiply both sides by 10
[tex]5x+42=59[/tex]
subtract 42 on both sides
[tex]5x=17[/tex]
divide 5 on both sides
[tex]x=\frac{17}{5}[/tex] or
Simplify
x= 3.4
Which transformations of the graph of 1x) = -4*x result in the graph of f(x) = 4x+3?
First we need to take the - signal
So the difference between the graphs y = -4x and y = 4x is that they are mirrored by the y-axis
Now we have the graph y = 4x and want the graph y = 4x + 3
We just need to move the graph y = 4x 3 units to the left
So the transformations we need is to move it 3 units to the left and to mirror it by the y-axis
HELP ASAP!!!The first picture is what each variables equal too
Answer:
-107
Step-by-step explanation:
Step 1: Plug in variables
4(2(-3) - 1) + (-5)(6) - (-7)²
Step 2: Multiply + exponent
4(-6 - 1) - 30 - 49
Step 3: Parenthesis and multiplication
4(-7) - 30 -49
-28 - 30 - 49
Step 4: Combine like terms
-107
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of 2.
5x – 8°
4x°
96°
44°
5x + 2°
Answer:
x = 29°
The angles are 137° , 116° , 96° , 44° and 147°
Step-by-step explanation:
The sum of the angles of the polygon is given as 540°. The angles are given as 5x – 8°, 4x° , 96° , 44°, 5x + 2. Therefore, the value of x can be found as follows
5x – 8° + 4x° + 96° + 44° + 5x + 2° = 540°
collect like terms
5x + 4x + 5x - 8 + 96 + 44 + 2 = 540°
14x + 134 = 540°
14x = 540 - 134
14x = 406
divide both sides by 14
x = 406/14
x = 29°
Therefore, the angles are as follows
29 × 5 - 8 = 137°
29 × 4 = 116°
96°
44°
5 × 29 + 2 = 147°
Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answer: $2 or $9
Step-by-step explanation:
Revenue (R) = $1800 , x = 1100 - 100p
R = xp
1800 = (1100 - 100p)p substituted x with 1100 - 100p
1800 = 1100p - 100p² distributed p into 1100 - 100p
100p² - 1100p + 1800 = 0 added 100p² & subtracted 1100p on both sides
p² - 11p + 18 = 0 divided both sides by 100
(p - 2) (p - 9) = 0 factored quadratic equation
p = 2 p = 9 applied Zero Product Property to solve for p
13. points help meeeeee
Answer: A
Step-by-step explanation:
For this problem, we can automatically eliminate B and D. We know this because of the inequality. The inequality is less than or equal to. anything that has an equal to sign is a solid line because any point on the line itself is a solution. If it was a < sign, it shows that the solution is less than, and not equal to. Therefore, the line would be dotted/dashed.
Now that we have figured out what type of line we have, we can see where the shading is located. To do so, we must make all the same variables go on the same side to see the equation.
y ≤ x²-4x+2
From this, we see that y is less than or equal to. This tells us that the shading is under the line. Under the line, y goes towards negative infinity, which makes y less than the line. Above the line, y goes towards positive infinity, which makes y greater than the line. That would make the inequality y≥x²-4x+2. Therefore, A is the correct answer.
Compare (−1) to the power of two and −1 to the power of 2
Answer:
(-1)² = 1
-1² = -1
Step-by-step explanation:
(-1)² means you are squaring the value of -1 to -1.
-1² means you are squaring the value of -1 to 1.
The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color blindness is much more common in men than in women (this is because the genes corresponding to the red and green receptors are located on the X-chromosome). Approximately 79% of American men and 0.4% of American women are red-green color-blind.1 Let CBM and CBW denote the events that a man or a woman is color-blind, respectively.(a) If an Americal male is selected at random, what is the probability that he is red-green color-blind? P(CBM) =(b) If an American female is selected at random, what is the probability that she is NOT red-green color-blind? P (not CBW) =(c) If one man and one woman are selected at random, what is the probability that neither are red-green color-blind? P=(neither is color-blind) =(d) If one man and one woman are selected at random, what is the probability that at least one of them is red-green color-blind? P=(at least one is color-blind)
Answer:
(a) The correct answer is P (CBM) = 0.79.
(b) The probability of selecting an American female who is not red-green color-blind is 0.996.
(c) The probability that neither are red-green color-blind is 0.9263.
(d) The probability that at least one of them is red-green color-blind is 0.0737.
Step-by-step explanation:
The variables CBM and CBW are denoted as the events that an American man or an American woman is colorblind, respectively.
It is provided that 79% of men and 0.4% of women are colorblind, i.e.
P (CBM) = 0.79
P (CBW) = 0.004
(a)
The probability of selecting an American male who is red-green color-blind is, 0.79.
Thus, the correct answer is P (CBM) = 0.79.
(b)
The probability of the complement of an event is the probability of that event not happening.
Then,
P(not CBW) = 1 - P(CBW)
= 1 - 0.004
= 0.996.
Thus, the probability of selecting an American female who is not red-green color-blind is 0.996.
(c)
The probability the woman is not colorblind is 0.996.
The probability that the man is not color- blind is,
P(not CBM) = 1 - P(CBM)
= 1 - 0.004
= 0.93.
The man and woman are selected independently.
Compute the probability that neither are red-green color-blind as follows:
[tex]P(\text{Neither is Colorblind}) = P(\text{not CBM}) \times P(\text{not CBW})\\ = 0.93 \times 0.996 \\= 0.92628\\\approx 0.9263[/tex]
Thus, the probability that neither are red-green color-blind is 0.9263.
(d)
It is provided that a one man and one woman are selected at random.
The event that “At least one is colorblind” is the complement of part (d) that “Neither is Colorblind.”
Compute the probability that at least one of them is red-green color-blind as follows:
[tex]P (\text{At least one is Colorblind}) = 1 - P (\text{Neither is Colorblind})\\ = 1 - 0.9263 \\= 0.0737[/tex]
Thus, the probability that at least one of them is red-green color-blind is 0.0737.
f(x)=x^2 what is g(x)
Answer:
i got doxxed by skia jackson
Step-by-step explanation:
The computer in a police car records the distance the car travels in both miles and kilometers. (1 mile is approximately equal to 1.6 km). Think about the travel data from one police car for a year. If we calculate the standard deviation of the distances in miles and also in kilometers, which of the following statements is true?
1. The standard deviation of the distances in miles is larger.
2. The standard deviation of the distances in kilometers is larger.
3. The standard deviations are the same.
Answer:
2. The standard deviation of the distances in kilometers is larger.
Step-by-step explanation:
Let us assume the distance of car travel in miles is x
And, the distance of car travel in kilometers is y
Given that
1 mile = 1.6 km
That means
y = 1.6x
Therefore
The standard deviation of y = 1.6 × (standard deviation of x)
The above equation represents
The standard deviation of y > standard deviation of x
hence, the correct option is 2.
PLS HELP I GIVE BRAINLIEST
A car is travelling at 70 mph and a lorry is travelling at 50mph
calculate the speed of the car relative to the lorry
Answer:
Step-by-step explanation:
relative speed is calculated by the difference of the one with respect to the other
let car be 70 mph
and lorry be 50 mph../
relative speed of car with respect to lorry = 70-50 = 20 mph
this is ur answer
The speed of the car relative to the lorry when a car and a lorry travelling-
in the same direction : 20 mph
in the opposite direction: 120 mph
What is relative speed?"Relative speed is the speed of one body with respect to another."
Formula for relative speed: -If two bodies moving with speed m, n (m > n)
in the same direction, then the relative speed = m - n
in the opposite direction, then the relative speed = m + n
Given: - a car is travelling at 70 mph and a lorry is travelling at 50 mph.
If car and a lorry travelling in the same direction then the relative speed would be,
= 70 - 50
= 20 mph
If the car and a lorry travelling in the opposite direction then the relative speed would be,
= 70 + 50
= 120 mph
Therefore, the speed of the car relative to the lorry is 20 mph if they are travelling in the same direction and 120 mph if the car and a lorry travel in opposite direction.
Learn more about relative speed here:
https://brainly.com/question/24692222
#SPJ2
Order the numbers from least to greatest: -5, 6, and 9.
Answer: -5, 6, and 9
Step-by-step explanation:
Step-by-step explanation:
least to greatest
-5 6 9
