Answers
Answer:
y = 1/2x +5
Step-by-step explanation:
The slope intercept form of a line is
y= mx+b where m is the slope and b is the y intercept
y = 1/2x +5
Answer:
y = 1/2x +5
Step-by-step explanation:
The y intercept is 5 because the line goes 5 units up.
and the slope is 1/2
Related Questions
1. Draw a histogram from all the data. Starting at the bottom row, for each set of 10 flips, place an “x” in the column corresponding to the number of heads that set produced. Your histogram should look similar to the example below: 2. Calculate the mean and standard deviation. mean = _____, standard deviation = _____ 3. Calculate the percent of the data that is within 1, 2, and 3 standard deviations of the mean. within 1 standard deviation = _____% within 2 standard deviations = _____% within 3 standard deviations = _____% 4. Compare your results to a normal distribution. Interpret any differences.
Answers
Answer:
Here is the histogram of the data:
[Image of a histogram with 10 bins, each representing the number of heads in a set of 10 flips. The most common number of heads is 5, and there are fewer heads and tails as the number of heads increases or decreases.]
The mean is 5 heads, and the standard deviation is 2.28.
Within 1 standard deviation of the mean are the values from 2.72 to 7.28. This includes 68.27% of the data.
Within 2 standard deviations of the mean are the values from 0.44 to 8.56. This includes 95.45% of the data.
Within 3 standard deviations of the mean are the values from -1.84 to 10.16. This includes 99.73% of the data.
The distribution of the data is close to normal, but there is a slight skew towards the left. This is because there are more sets of 10 flips with 5 heads than there are sets with 6 heads or 4 heads.
The normal distribution is a symmetrical distribution, which means that there is an equal amount of data above and below the mean. The distribution of the data in this case is slightly skewed, which means that there is more data below the mean than above the mean. This is because there are more sets of 10 flips with 5 heads than there are sets with 6 heads or 4 heads.
Step-by-step explanation:
7. The probability of passing an
examination is 0.77. What is the
probability of failing the examination?
A. 0.22
B 0.23 C. 0.33
D. 0.72
E. 0.77
Answers
Answer:
Option B
Step-by-step explanation:
Total Probability = 1
Probability of passing = 0.77
Probability of failing = 1-0.77
=> 0.23
Determine the amount of money you need to invest to have $26,000 dollars in 3 years if you invest it at 2.5% annual interest,
compounded monthly.
Answers
Answer:
$24123.20
Step-by-step explanation:
Remember your compounded interest rate formula: A = P(1 + r/n)^nt
Step 1: Write in known variables
26000 = P(1 + 0.025/12)^36
Step 2: Solve for P
26000 = P(1.0778)
P = 26000/1.0778
P = 24123.2
And we have our final answer!
How can you be certain that the angles you have created form a square inside the
circle?
Answers
Answer:
Step-by-step explanation:
Make sure that the angles are the same length, also make sure that the diameter of the circle is not smaller than that of the square to find diameter of a circle multiply the radius by 2, to find the radius use this formula
r=C over 2π
By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the [tex]\bold{r=C}[/tex] formula of the radius over [tex]\bold{2\pi}[/tex]
The building process is as follows:
Circle diameter is plotted.The method as described in the perfectly straight central axis of a portion is drawn by the bisector of the right angle of the radius. It is also a circular pattern diameter.The four areas on the circle that result are indeed the square vertices.Please find the attached file.
Learn more:
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What is the simplified form of 1/x2 over 3/x3
Answers
Answer:
x/3
Step-by-step explanation:
1/x^2÷ 3 /x^3
Copy dot flip
1 / x^2 * x^3 /3
x^3/x^2 * 1/3
x/3
Answer:
x/3
Step-by-step explanation:
1/x^2÷ 3 /x^3
1 / x^2 * x^3 /3
x^3/x^2 * 1/3
x/3
Which of the following uses absolute value correctly to show the distance between -30 and 16?
A-30 - 16= |-46= -46 units
B-30 - 16| = |-461 = 46 units
C-30 + 16 = 1-14) = 14 units
D-30 + 161 = |-141 = -14 units
Answers
Answer:
B-30 - 16| = |-461 = 46 units
Step-by-step explanation:
The distance between -30 and 16 is the absolute value of the difference between the points
| -30 -16| = |-46| = 46 units
a) Alice says that all the factors of 8 are even.
Write down an example to show that Alice is wrong. This is one mark question..
Answers
Factors of 8 include: 1, 2, 4, 8
Noticed something? Of course, there is a number 1 in the list of factors of 8.
Alice is wrong because there is one odd number in the factors of 8.
Answer:
Alice says that all factor of 8 are even
8
16
24
32
40
48
56
72
84
Write an equation in slope-intercept form for a line that passes through the two points (-2,-5) and (-4,3). Show your work.
Answers
Answer:
y = -4x - 13
Step-by-step explanation:
Use point - slope form to convert to y = mx + b form
1. Find the slope using y2 - y1 / x2 - x1
3 + 5 / -4 + 2
m = -4
2. Plug into point - slope form: y - y1 = m (x - x1)
y + 5 = -4 (x + 2)
Distribute
y + 5 = -4x - 8
Subtract 5 from both sides
y = -4x - 13
Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:
63', 64°, 82°, 49° and 58°
Answers
Answer: 44°
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360°
If your polygon has six sides, the final angle will be:
= 360 - (63 + 64 + 82 + 49 + 58)
= 360 - 316
= 44°
Given the figure below, find the values of x and z
Answers
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92
Find the vertex of the given function. f(x) = |x + 1| - 7 The vertex is at (, )
Answers
Answer: The vertex of the function is (-1, -7).
Step-by-step explanation: We are given to find the vertex of the following function.
We know that the vertex of the function is given by (h, k).
So, for the given function f(x), the vertex will be (-1, -7).
The graph of the function f(x) is shown in the attached figure, where the vertex is at the point (-1, -7).
Thus, the vertex of the function is (-1, -7).
The vertex of the function f(x) = |x + 1| - 7 is (-1,-7)
How to determine the vertex?The function is given as:
f(x) = |x + 1| - 7
The above function is an absolute value function
An absolute value function is represented as:
f(x) = a|x – h| + k
Where, the vertex is (h,k)
So, we have:
(h,k) = (-1,-7)
Hence, the vertex of the function f(x) = |x + 1| - 7 is (-1,-7)
Read more about vertex at:
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I’m stuck on this math problem
Answers
Answer:
C.
Step-by-step explanation:
You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.
Alternatively you can graph each equation on a graphing calc and choose the best answer.
The length of a rectangle is 4 inches longer than the width. The perimeter is 48 inches. What is the width?
w = 14 cm
w = 28 m
w = 20 in
w = 10 in
Answers
Answer:10 in
Step-by-step explanation:
Connie owns x books. Her friend Alma owns
7 more than 2 times the number Connie
owns. So Alma owns 2x + 7 books.
If x is 16, what is 2x + 7?
Enter the correct answer.
Answers
Answer:
39 books
Step-by-step explanation:
Solve the equation in order of PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)
2(16) + 7
Multiply 2(16) first.
2(16) = 32
Then add 7.
32 + 7 = 39
Find the measure of angle C of a triangle ABC, if: m∠A = ∝, m∠B = 2∝
Answers
Answer:
The measure of ∠ C is 180°-3∝
Step-by-step explanation:
We are given a ΔABC
∠A = ∝
∠B = 2∝
Angle sum property of triangle : The sum of all angles of triangle is 180° is called angle sum property of triangle
So, ∠A+∠B+∠C=180°
∝+2∝+∠C=180°
3∝+∠C=180°
∠C=180°-3∝
Hence the measure of ∠ C is 180°-3∝
Owners of a radio station want to obtain information on the radio listening habits in their market area. The market area contains one city of population 150,000, another city of 40,000, and three towns of about 6,000 inhabitants each. The station suspects the listening habits may be different in larger and smaller cities, and in the rural areas, so it splits the market area up accordingly to survey. Which of the following sampling designs best represents the type of survey design described? A cluster sample using regions in the market area as clusters A convenience sample from the market area A simple random sample from the whole market area A stratified sample from the cities and towns in the market area An online poll that invites all people from the cities and towns in the market area to participate
Answers
Answer:
The correct option is:
A stratified sample from cities and towns in the market area.
Step-by-step explanation:
Stratified sampling is a method of sampling for a population which usually divided into smaller groups. These groups are known as strata. For research purposes, the size of the population can be too large for a researcher, and will require a lot of time and money to complete the research, which happens in this case. So for ease, the researcher may divide the population in small groups strata, which are easy to handle.
Answer:
A stratified sample from cities and towns in the market area.
Step-by-step explanation:
Took the quiz, give the other dude brainliest tho
How much will a person pay for 12.3 pounds of bananas at a price of $1.34 per pound? round to the nearest cent.
Answers
Answer:
16.48
Step-by-step explanation:
12.3 X 1.34 =16.482 16.482 is closer to 16.48 because 2 is not over 5 so it rounds under.
$16.48 will a person pay for 12.3 pounds of bananas at a price of $1.34 per pound.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, Price of Bananas is $1.34 per pound.
Since,
1 pound of banana costs = 1.34
12.3 pounds of banana will cost = 1.34 * 12.3
12.3 pounds of banana will cost = 16.482
Therefore, the Price of 12.3 pounds of bananas is $16.82.
Learn more about Mathematical operations here:
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Write the point-slope form of the equation for a line that passes through (6,-1) with a slope of 2
Answers
Answer: y + 1 = 2(x-6)
Step-by-step explanation:
Point Slope Form is y-y₁=m(x-x₁), and all you have to so is substitute in the values that you were given. So, the slope is 2, so you substitute that value in for m. Then, you substitute 6 in for x₁ (because 6 is the x value of the coordinate you were given) and you substitute -1 for y₁ (and it becomes positive because two negatives make a positive)
Hope this was helpful! Please feel free to ask me any questions!
Answer:
y + 1 = 2 ( x - 6)
Step-by-step explanation:
This is the answer because the formula for Point-Slope is y-y1=m(y-y1)
all you have to do is substitute the given information into the formula to get your answer
What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375.
A. 394
B. 427
Answers
Answer:
B. 427
Step-by-step explanation:
The median is the middle number. When you cross out numbers on the list you end up with 420 and 434. We take the average:
(420 + 434)/2 = 427
Answer: B. 427
Step-by-step explanation: First, put all of the numbers in order from least to greatest. (375, 390, 398, 420, 434, 540, 588, 593)
Then, cross out all the numbers until you get the number or numbers in the middle. (375, 390, 398, 420, 434, 540, 588, 593)
Since there are 2 numbers in the middle, add them together and divide by 2.
(854/ 2 = 427)
Hope this helps! ♥
Evaluate the expression for
x = 8, y = 4:
x + 10/y+5
Answers
Answer:
2Solution,
X=8
y=4
Now,
[tex] \frac{x + 10}{y + 5} \\ = \frac{8 + 10}{4 + 5} \\ = \frac{18}{9} \\ = 2[/tex]
hope this helps...
Good luck on your assignment..
8+10/4+5
18/9
=2
Find the value of y.
Answers
Answer:
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Step-by-step explanation:
We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.
You can get that by finding the smaller value of the larger triangle.
[tex]\frac{8}{\sqrt{3} } =\frac{x}{1}[/tex]
x[tex]\sqrt{3}[/tex] = 8
x = [tex]\frac{8}{\sqrt{3} }[/tex]
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
That is the hypotenuse of the smaller triangle. To find y...
[tex]\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}[/tex]
2y = [tex]\frac{8\sqrt{3} }{3}[/tex]
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Hope this helps!
PLEASE HELP!! 40 PTS
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. One line g of x is solid and goes through the points 0, 2, negative 2, 4 and is shaded in below the line. The other line f of x is solid, and goes through the points 0, 2, 2, 0 and is shaded in below the line.
The graph represents which system of inequalities?
A. y ≤ −2x + 3
y ≤ x + 3
B. y ≥ −2x + 3
y ≥ x + 3
C. y ≤ −3x + 2
y ≤ −x + 2
D. y > −2x + 3
y > x + 3
Answers
Answer:
y ≤ −2x + 3
y ≤ x + 3
Step-by-step explanation:
they both share the slope of 3.
line a has a slope of -2
line b has a slope of 1
the sign ≤ means that the inequalities have a solid line and there below the line.
please mark brainliest :)
Answer: y ≤ −2x + 3
y ≤ x + 3
Step-by-step explanation:
Match each of the following equations according to there slope and y intercept.
Answers
Answer:
using the equation of the line y = mx + b
m= slope
b = y intercept
y= - 1.5x - 4 m = -1.5 b = -4
y = -3x + 4 m = -3 b = 4
y = 3x m = 3 b = 0
y = 1.5x - 7 m = 1.5 b = -7
y = 7 m = 0 b = 7
Hope this helps.
Answer:
y=3x goes with m=3, b=0
y=7 goes with m=0, b=7
y=-3x+4 goes with m=-3, b=4
y=1.5x-7 goes with m=1.5, b=-7
y=-1.5x-4 goes with m=-1.5, b=-4
Step-by-step explanation:
The b represents the y- intercept in a graph (where the line crosses the y axis). The m represents the slope of the line. You can find the slope by taking the rise of the graph and dividing it by the run (rise/run). If you get the numbers in the equation form y=mx+b, then you just take the information they give you out of the equation.
Write a function and solve for the
total loan amount of an initial loan
of $24,520 with an interest rate of
3% for 10 years.
Answers
Answer:
Total is 7356
Step-by-step explanation:
Find 3% of $24,520
Interest = per year
So the 3% times 10 and you get the answer
I need help on this math problem help !?
Answers
Answer:
C.
Step-by-step explanation:
Technically, none of these answers are correct because the domains need to be restricted. However, if you included imaginary numbers into the graph, then C. would be your best choice.
Answer:
The answer is (C) x - [tex]\frac{1}{6}[/tex] [tex]y^{2}[/tex].
Step-by-step explanation:
Hope this helps you!
Sara leaves home at 7 A.M. traveling at a rate of 45 mph. Her son discovers that she has forgotten her briefcase and starts out to overtake her. Her son leaves at 7:30A.M. traveling at a rate of 55 mph. At what time will he overtake his mother?
Answers
Answer:
B I think
Step-by-step explanation:
Answer:
Dude, there is no option?
Step-by-step explanation:
Given that ABCD is a rhombus, what is the value of x?
Answers
Answer:
B
Step-by-step explanation:
A rhombus is divided into four congruent triangles. The two given angles are complementary, meaning they add up to 90 degrees. Set up an equation:
[tex](4x-25)+x=90[/tex]
[tex]4x-25+x=90[/tex] Take out the parentheses
[tex]5x-25=90[/tex] Combine like terms
[tex]5x=115[/tex] Add 25 to both sides so as to isolate the variable
[tex]x=23[/tex] Divide both sides by 5
Answer:
the answer is b or 23
Step-by-step explanation:
If Shane weighs 120 pounds and Johnny weighs 150 pounds.If Shanie gains 60 pounds will Shanie and Johnny be the same weight.
Answers
Answer:
shane is 120 pounds and johnny is 150 pounds
Step-by-step explanation:
shane 120 and johnny gains weight 60 pounds so 120 plus 60 that is both of the together is 180 hope this helps you i think they maybe be the same weight because together they are more
Answer:
No, Shane will be heavier
Step-by-step explanation:
120 > 150
120 + 60= 180
180 > 150
Help please will mark u brainliest !!!!!
Answers
Step-by-step explanation: To make a line paralle to another, the slope has to be the same such as the "m" in "y=mx+b" the y-intercept or "b" could be different. In this case, the slope is -7. So the question mark should be -7.
Answer:
The correct answer is
[tex]y = -7x -3[/tex]
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula [tex]y-y1= m (x-x1)[/tex] to find the line parallel to [tex]y= -7x+2[/tex]
[tex]y=-7x-3[/tex]
Hope this helps!
- Quinn <3
Alex drives at an average speed that is 1/4 of the average speed that Roy's train travels. Alex takes 20 minutes to travel 12 km in her car. Roy travels for 2 hours and 20 minutes on his train. How far does Roy travel to 2 dp?
Answers
Answer:
336.00 km distance of train
Step-by-step explanation:
Alex = 20mins =12km We distribute to 1hr to find 60mins = 36km p/h.
Roy = 2hrs 20 mins and is 4x the speed of the car.
So 36km x 4 p/h = 144km p/h
2hrs and 20 = 144 x 2.3333 = 335.9952 = 336km
Answer:
336 km
Step-by-step explanation:
"Alex takes 20 minutes to travel 12 km in her car."
Alex's speed = (12 km)/(20 min) = 0.6 km/min
"Alex drives at an average speed that is 1/4 of the average speed that Roy's train travels."
Therefore, Roy's speed is 4 times Alex's speed.
Roy's speed = 4 * 0.6 km/min = 2.4 km/min
Roy travels for 2 hours and 20 minutes = 2 * 60 min + 20 min = 140 min
speed = distance/time
distance = speed * time = 2.4 km/min * 140 min = 336 km
