In a study investigating the effect of car speed on accident severity, 5000 reports of fatal automobile accidents were examined, and the vehicle speed at impact was recorded for each one. For these 5000 accidents, the average speed was 42 mph and the standard deviation was 15 mph. A histogram revealed that the vehicle speed at impact distribution was approximately normal.

a. Roughly what proportion of vehicle speeds were between 27 and 57 mph?

b. Roughly what proportion of vehicle speeds exceeded 57 mph?

the probability of getting red on at least one spin is 1 - 9/16 = 7/16 or 0.4375 in decimal form.

hope that helps!

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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The value of x that will make both lines A and B to be parallel is:  20

The line transversal theorem states that:

If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.

Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:

3x + 20 = 80

3x = 80 - 20

3x = 60

x = 60/3

x = 20

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The interquartile range (IQR) of the data is 42.

The interquartile range (IQR) is the box plot showing the middle 50% of scores and can be calculated by subtracting the lower quartile from the upper quartile (e.g., Q3−Q1).

In the image, The data set is:

20 40 E 60 80 E 100​

Now, We have to find the interquartile range of the data.

The IQR is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box plot , that is

Q₃ = 62

Q₁ is the value at the left side of the box plot , that is

Q₁ = 20

then

IQR = Q₃ - Q₁ = 62 - 20 = 42

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Answer:

c

Step-by-step explanation:

Answer: 120 ice creams total

The answer is option D

Answer:

I will give you three, but the answer is the number that has a 50

Step-by-step explanation:

52

654

7657

50 is the numbers that have a 5 in 10 times the value of the 13,725.

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.

Now the given number is,

13,725

10 times of the number is givens as,

13,725*10

or, 137,250

here place value of 5 in 137,250 is 5 tens or 50.

Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.

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Answer:

B) 3 5/9

Step-by-step explanation:

Subtracting the mixed numbers gives you 3 5/9. Have fun with your new dog!

Answer:

50 $20 bills equals $1,000

Step-by-step explanation:

1000 / 20=50

50 $20 bills equal $1000

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here $1000 bill to find its $20 equivalent we divide the amount with 20 thus $20 equivalent of $1000 is  $1000/20=50

Hence, $1000 bill equivalent of $20 is 50

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Answer:

I think 7 would be the estimate if im wrong this is the specific number 6 13/15

Step-by-step explanation:

Answer:

She will need aproximately 7 cups

Step-by-step explanation:

First, you add 3 1/5 and 3 2/3 which is 6.86666666667

Just round that answer up and that'll give you seven

Answer:

15

Step-by-step explanation:

First we need to find the length of BC and for that we gonna use Pysagoras theorem

10^2 + (2√11)^2 = |BC|^2

√144 = |BC|^2

12 = BC Now we will use this to find the value of x

x^2 = 12^2 + 9^2

x^2 = 144 + 81

x^2 = 225

√x^2 = √225

x = 15

Answer:

The value of x is 15 cm.

Step-by-step explanation:

There are two triangles in the diagram that share a common side.

The triangles are:

ABC and BDC

First we have to find the third side of BDC so that we can use it to find the value of x.

The triangle is a right angled triangle so Pythagoras theorem can be used to find the third side.

In the triangle

\(Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm\)

Pythagoras theorem is given as:

\((Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm\)

Now for triangle ABC

\(Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\\)

Using Pythagoras theorem

\(AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm\)

Hence,

The value of x is 15 cm.

Answer:

\(z=\frac{256-266}{\frac{16}{\sqrt{20}}}=-2.795\)    

The p value for this case can be calculated with this probability:

\(p_v =P(z<-2.795)=0.0026\)  

Step-by-step explanation:

Information provided

\(\bar X=256\) represent the sample mean

\(\sigma=16\) represent the population standard deviation

\(n=20\) sample size  

\(\mu_o =266\) represent the value that we want to test

z would represent the statistic

\(p_v\) represent the p value

Hypothesis to verify

We need to conduct a hypothesis in order to see if inadequate food intake should have shorter gestation times, the system of hypothesis would be:  

Null hypothesis:\(\mu \geq 266\)  

Alternative hypothesis:\(\mu < 266\)  

The statistic is given by:

\(z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}\)  (1)  

Replacing the info given we got:

\(z=\frac{256-266}{\frac{16}{\sqrt{20}}}=-2.795\)    

The p value for this case can be calculated with this probability:

\(p_v =P(z<-2.795)=0.0026\)  

Answer:

62.857142857143%

Step-by-step explanation:

Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

Standard deviation does not mean independent events.

No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.

Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.

Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.

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Answer:

the answer is B)

Step-by-step explanation:

edg2021 :>

The graph of the equation 3x + 4y = 0 is a straight line with a negative slope passing through the origin.

The given equation, 3x + 4y = 0, represents a linear graph in the Cartesian coordinate system. Let's analyze its characteristics.

First, note that the equation is in the standard form for a linear equation, which is Ax + By = C, where A, B, and C are constants. In this case, A = 3, B = 4, and C = 0.

To graph this equation, we can rewrite it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By isolating y, we have y = (-3/4)x + 0. Since the y-intercept (b) is 0, the line intersects the y-axis at the origin (0,0).

Next, we can examine the slope. The coefficient of x, -3/4, represents the ratio of the change in y (vertical) to the change in x (horizontal) as we move along the line. In this case, the slope is negative, indicating that the line descends from left to right. The magnitude of the slope, 3/4, implies that for every 4 units moved horizontally to the right, the line goes 3 units down vertically.

Therefore, we can conclude that the graph of the equation 3x + 4y = 0 is a straight line passing through the origin (0,0) with a negative slope. It extends indefinitely in both directions, with the line getting steeper as we move to the right.

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The probability of selecting a yellow ball is approximately 37%.

P(yellow)=37%.

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 indicates that the event is impossible and 1 indicates that the event is certain. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Probability is used in many areas of mathematics, science, and everyday life to help us make decisions, assess risk, and understand uncertainty. It is an important concept in statistics, which uses probability to study and analyze data.

According to the question:

To find the probability of selecting a yellow ball, we need to divide the number of yellow balls by the total number of balls in the bag.

Total number of balls = 15 green + 18 yellow + 16 orange = 49

So, the probability of selecting a yellow ball is:

P(yellow) = Number of yellow balls / Total number of balls = 18/49

Rounding to the nearest percent, we get:

P(yellow) ≈ 37%

Therefore, the probability of selecting a yellow ball is approximately 37%.

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(a) There are 10 units must be sold to maximize profit.

(b) The maximum profit is 480.

what is profit?

A profit is an income that is given to the owner in an efficient market production process in accounting. The owner's primary interest in the income-formation process of market production is profit, which is a measure of profitability. Different profit metrics are frequently employed.

Given:

A company sales x units of a product, its profits P can be determined

using the profit function P(x) = -2x² + 40x + 280       ..(1)

We have to find the maximum profit.

Differentiate equation (1) w.r.t x

     P'(x) = -4x +40            ..(2)

-4x + 40 = 0

        4x = 40

          x = 10

Again differentiate equation (2) w.r.t x

P''(x) = -4 which is negative.

Hence, there are 10 units must be sold to maximize profit.

Now, to find the maximum profit.

Plug x = 10 in equation (1)

P(10) = -2(10)^2 + 40(10) + 280

        = -200 + 400 + 280

P(10) = 480

Hence, the maximum profit is 480.

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The answer is (2.5,7)

Step-by-step explanation:

let , MP =x

then,

discount amount =D% of MP

= (20/100)× x

= 0.2x

now,Sp without VAT = MP-D

=x - 0.2x

= 0.8x

NoW, SP with VAT = Sp without VAT+ VAT %of SP

or ,6328 = 0.8x + 13% of 0.8x

or, 6328 = 0.8x + (13/100) × 0.8x

or, 6328= 0.8x + 0.104x

or,. 6328= 0.904x

or, X= 6328/0.904

X= 7000 Rs.

Hence ,MP is Rs.7000

Solution

For this case we know that distance is given by:

D= vt

We also know that the distance for Sean is equal to the distance of Darryl, then we can do this:

D Sean = D Darryl

And replacing we got:

6x+0.25 = 6.7x

Answer:

I would say 12 but I am not positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello friend

The answer is 5:15 in 12 hour clock

Answer:

5:15 PM

Step-by-step explanation:

12:00 + 5:00

17:00 in 12 hour clock is 5:00 PM.

15 minutes + 5:00 PM

⇒ 5:15 PM

Jack needs to buy at least 51 sets of glasses to ensure that the restaurant has enough glasses.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Let s be the number of sets of glasses that Jack needs to buy.

According to the problem, the restaurant needs at least 711 glasses, and currently has 206. So Jack needs to buy:

711 - 206 = 505 glasses

Since each set contains 10 glasses, the total number of glasses Jack can buy is:

10s

To have enough glasses, the total number of glasses Jack buys must be greater than or equal to 505. So we can write the inequality:

10s ≥ 505

To solve for s, we can divide both sides by 10:

s ≥ 50.5

Since s must be a whole number (you can't buy half a set of glasses), we round up to the nearest integer:

s ≥ 51

Therefore, s ≥ 51.

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Answer:

she can rent 28 tables and arrange them in 4 rows and 7 columns

■■■■■■■

■■■■■■■

■■■■■■■

■■■■■■■

to seat 22 children