Question 14 of 20
K
The table below shows the frequency distribution of the rainfall on 52 consecutive Mondays in a
certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a
distribution that is approximately normal?
Class
0-0.19
0.20-0.39
0.40-0.59
0.60-0.79
0.80-0.99
1.00-1.19
1.20-1.39
Frequency
21
12
5
3
8
2
1
CID
+
possib
This question: 5 points) possible
Choose the correct histogram below
OA
OC.
10-
00 02 04 06 08 10 12 14
30-
20-
10-
of
00 02 04 06 08 10 12
10-
00 02 04 06 08 10 12 14
Do the data appear to have a distribution that is approximately normal?
OA No, it is not symmetric
OB. No, it is approximately uniform
OC. Yes, it is approximately normal
OD. No, it has no obvious maximum

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer: triangles are similar.

Step-by-step explanation:

Givn : OK = 3, OJ = 30, KN = 1, JM = 3#

Angle O is common in both the triangles.

Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.

That means

That means the three angles of triangle OKJ are equal to the corresponding three angles of triangle ONM.

Hence the to triangles are similar.

Answer:

70 stones

Step-by-step explanation:

since there are 40 seashells represented by 4 in the ratio

you can do 7 times 10 and that equals 70.

Answer:

\(10p {}^{2} - 5p + 6 + \frac{ - 9}{p - 4} \)

Step-by-step explanation:

10p²-5p+6

p-4√10p³-45p²+26p-33

- 10p³-40p²

-5p²+26p

- -5p²+20p

6p-33

- 6p-24

-9

9514 1404 393

Answer:

  5.  70°

  6.  69°

  7.  17°

  8.  37°

Step-by-step explanation:

Problems 5, 7, 8 have the opposite side and adjacent side given. You know that ...

  Tan = Opposite/Adjacent

Then the angle measure is ...

  angle = arctan(Opposite/Adjacent)

__

Problem 6 gives the opposite side and the hypotenuse. The sine relation is involved there:

  Sin = Opposite/Hypotenuse

Then the angle measure is ...

  angle = arcsin(Opposite/Hypotenuse)

__

5. ? = arctan(93/34) ≈ 70°

6. ? = arcsin(42/45) ≈ 69°

7. ? = arctan(11/35) ≈ 17°

8. ? = arctan(22/29) ≈ 37°

Step-by-step explanation:

1: Solve one Equation for one of the variables

2: Substitute (plug-in) this expression into the other equation and solve

3: Resubtitue the value into the original equation to find the corresponding variable

Answer:

1. Solve one equation for one of the variables.

2. Substitute (plug-in) this expression into the other equation and solve.

3. Resubstitute the value into the original equation to find the corresponding variable.

Now at first glance, this may seem complicated, but it'll get easier along the way. <3

Done by NeighborhoodDealer

The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.

According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.

On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.

Hence, the time taken to edit the 15minute long video is; 20 hours.

hi

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An equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

In this question, there was a depth of 10 inches of snow on the lawn when the storm ended and then it started a melting at a rate of 2 inches per hour.

We need to write an equation for S in terms of t, snow representing the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling.

So, the equation would be,

S = 10 - 2t

Therefore,  an equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

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Answer:

Step-by-step explanation:

a. No, he can't buy 12 packs of baseball cards because 12 packs * $1.70/pack = $20.40, which is more than $20.

b. Yes, he can buy 30 packs of gum because 30 packs * $0.60/pack = $18.00, which is less than or equal to $20.

c. He will still have $6.75 after he buys 5 packs of bouncy balls because $20.00 - (5 packs * $3.15/pack) = $20.00 - $15.75 = $6.75

In the table you provided, you can see the cost of different numbers of packs of baseball cards, gum and bouncy balls. This can help Dante to decide how much to spend on each item and how much he will save.

Answer:

Step-by-step explanation:

You want to know the number of dogs and chickens a farmer has if there are 60 total, having a total of 148 legs.

Let d represent the number of dogs. Then 60-d is the number of chickens, and the total number of legs is ...

  4d + 2(60 -d) = 148

Simplifying gives ...

  2d +120 = 148

  d +60 = 74 . . . . divide by 2

  d = 14 . . . . . . . subtract 60

  60 -d = 46 . . . . the number of chickens

The farmer has 14 dogs and 46 chickens.

<95141404393>

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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Answer and Step-by-step explanation:

To be honest, I am not 100% sure if the solution that I made is correct, but here is what I found:

So the question is basically asking you what is the value of the variable x. While looking at both of these shapes, we can see that the first shape is horizontal, but the second shape is upright, or vertical. To solve for x, let's picture both of these shapes facing the same way.

So, let's turn the second shape to make it horizontal like the first shape. After doing so, we can notice that the height of the second shape (16) is 4 more than the first shape's height (12).

So, if the height of the second shape is 4 more than the height of the first shape, then the width of the second shape (x) is probably 4 more than the width of the first shape (18).

So, 18 + 4 = 22. Therefore, the width, or x of the second shape is equal to 22.

I hope this helps.

Answer:

6563.25

ok hope it help

Answer:

He earned in this month $1810

Step-by-step explanation:

∵ John worked in a furniture store for a salary of $850 a month

∴ His fixed salary = $850

∵ He takes a commission of 6% on sales over $20,000

∴ His commission = 6% on sales over $20,000

→ Change it to decimal by divide it by 100

∴ His commission = \(\frac{6}{100}\) = 0.06 on sales over $2000

∵ In one month he sold $36,000 worth of furniture

∴ He will take a commission on the value that over $20,000

∵ The amount of selling over $20,000 = 36,000 - 20,000

∴ The amount of selling over $20,000 = $16,000

→ Multiply it by 0.06 to find his commission

∵ His commission = 0.06 × 16,000

∴ His commission = $960

→ Now let us find his total earn

∵ His total earn = his salary + his commission

∴ His total earn = 850 + 960 = 1810

∴ He earned in this month $1810

Answer:

The average rate of change

\(\frac{dh}{d t} = 70 (1) - 16(2t)\)

At   t = 1

\(\frac{dh}{d t} = 70 (1) - 16(2t) = 38\)

at t=3



Step-by-step explanation:

Step(I):-

The given function  h(t) = 3+70t - 16t²

                          \(\frac{dh}{d t} = 70 (1) - 16(2t)\)

The       \(\frac{dh}{d t} = 70 (1) - 16(2t) =0\)

           70 - 32 t = 0

     ⇒   70 = 32 t

   ⇒     \(t = \frac{70}{32} = \frac{35}{16}\)

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

\(\frac{dh}{d t} = 70 (1) - 16(2t)\)

At   t = 1

\(\frac{dh}{d t} = 70 (1) - 16(2t) = 38\)

At t = 3



Given:

40 hours wage is $7 and over 40 hours the wage is 1.5 time of $7

so total income is:

where h is a extra hours she works.

Answer:

Option A

Step-by-step explanation:

Rearrange and simplify them

First we simplify

5.78 , -5.9 , 58%(58/100) or 5.8 , -5.75

Now we rearrange

-5.9 , -5.75 , 5.78 , 5.8

The larger the number in negative is the smallest.

So option A is the answer

Answer:

it has to be b

Step-by-step explanation: It's the only answer that make sense and i took the test and remember it being 10

Answer:

The answer is 12.5 seconds

Step-by-step explanation:

(if you are taking the test on usatestprep) if you look at the bottom of the graph that says seconds, you will see that’s it takes the bird 12.5 seconds

also I took the test and got 100%

Answer:

1/10

Step-by-step explanation:

any number (1-9) as the number above the fraction line (numerator) with the number 10 below the fraction line is a fraction with a denominator of 10.

if it was 10/10, it will = 1

The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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The slope of the taxi fare is a positive slope.

Distance is a measure of the space between two points. It is the length of a physical path between two points, usually measured in units of meters or kilometers. Distance can also refer to the amount of time or energy it takes to travel between two points. Distance is a fundamental concept in physics, mathematics, and other scientific fields. Distance can also be used to measure relationships between people, such as the distance between two people's homes.

The x-axis would represent the distance, while the y-axis would represent the fare. As the distance increases, the fare increases at a rate of 2 dollars for every additional 1 km.

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Answer:

459..

hope you understand

Answer: -2, 0, 1, 3

Step-by-step explanation:

when you multiply -7 and -6 by -5 than add 5 you get a higher number than 25.

when you multiply -2, 0, 1 And 3 by -5 than add 5 you get a lower number than 25.

The commission (in dollars) did he earn last month is 540$.

We have given

A salesman earns 6% commission on all the merchandise that he sells.

Last month he sold $9000 worth of merchandise.

Salesman earns 6% =6/100=0 .06

Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.

So we have to determine 6% of 9000

We can be written as

=0.06 x 9000,

= 540$

The commission (in dollars) did he earn last month is 540$.

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Answer:

Step-by-step explanation:x+y+z=100(let x ,y,z represent the first second and third numbers respectively)

Therefore,y=2z

z=x-8

y=2x-16

substituting the values of x,y and z into the question,we have

x+(2x-16)+(x-8)=100

Simplifying,we have

4x-24=100

adding 24 to both sides of the equation,

4x=100+24

4x=124

dividing both sides of the equation by the co-efficient of x,we have

4x/4=124/4

4.31=124

therefore,x=31.

The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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