Dylan records whether people prefer to drink milk, tea, coffee, or smoothie in the morning. He
separates the responses by which of three eastern United States regions they live in the Northeast,
the Mid-Atlantic, or the South. What is the conditional frequency of people from the Mid-Atlantic
who prefer smoothie, relative to the total number of respondents? Round to the nearest hundredth
if necessary

Answer:

Top: y=3

Top right: y=-3/2x+6

Bottom right: y=3/2x-6

Bottom: y=-3x

Bottom left: y=-3/2x-6

Top left: y=3/2x+6

Step-by-step explanation:

Top: y=3

Top right: y=-3/2x+6

Bottom right: y=3/2x-6

Bottom: y=-3x

Bottom left: y=-3/2x-6

Top left: y=3/2x+6

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The machine is known to have 99 green balls and 78 red balls.

This means that [tex]p = \frac{99}{99+78} = 0.5593[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.5593[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373[/tex]

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.61 - 0.5593}{0.0373}[/tex]

[tex]Z = 1.36[/tex]

[tex]Z = 1.36[/tex] has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

Answer:

Its b

Step-by-step explanation:

just add it all together :)

Hope this helps :)

Answer:

The 2nd statement

Answer:

Step-by-step explanation:

19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.

     Therefore, 21x + 6 = 90

     2x = 90 - 6

     2x = 84

      x = 42

21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,

      8x - 4 = 60

      8x = 60 + 4

      x = [tex]\frac{64}{8}[/tex]

      x = 8

23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles

    Therefore, (-1 + 14x) = (12x + 17)

     14x - 12x = 17 + 1

     2x = 18

      x = 9

25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.

      Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]

      2x + 192 = 180

      2x = 180 - 192

      2x = -12

       x = -6

       Now measure of (x + 96)° = -6 + 96

                                                = 90°

26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.

      Therefore, (20x + 5)° + (24x - 1)° = 180°

       44x + 4 = 180

       44x = 176

        x = 4

Answer: 6.6667% or 2/30

Answer:

||w|| = 6

Step-by-step explanation:

||w|| = modulus or magnitude of vector w

Since formula to get the modulus of any vector = [tex]\sqrt{\text{(x-component)}^2+\text{(y-component)}^2}[/tex]

Vector w = <-6, 0>

x-component of vector w = (-6)

y-component of vector w = 0

Therefore, ||w|| = [tex]\sqrt{(-6)^2)+(0)^2}[/tex]

                         = 6

Answer:

[tex]Number = 39.80[/tex]

Step-by-step explanation:

Given

[tex]Number = 39.79949748[/tex]

Required

Approximate (to the nearest 100th)

This means that, we approximate at the second digit after the decimal.

So:

i.e,

Number = 39.79  [Begin  approximation] 949748

The first digit after [Begin approximation] is then approximated using the following rule:

[tex]0 - 4 \approx 0[/tex]

[tex]5 - 9 \approx 1\\[/tex]

Since 9 falls in [tex]5 - 9 \approx 1\\[/tex] category, the number becomes:

[tex]Number = 39.[79+1][/tex]

[tex]Number = 39.80[/tex]

Answer:

Don't know if this is right but it should maybe be y= x+3+x+2-x+5 because You cant have a negative in absolute values.

Answer:

275 hamburgers was sold on Friday

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Green line: y = 5x + 2

Red line: y = 3x + 3

Purple line: y = 2x + 3

Step-by-step explanation:

1) All the given equations are in slope-intercept form, or [tex]y = mx + b[/tex] format. When an equation is written in this form, the constant on the right side of the equation, or the [tex]b[/tex], represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.  

Knowing this, the y-intercept of [tex]y = 5x + 2[/tex] must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of [tex]y = 5x + 2[/tex] is the green one.

2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of [tex]m[/tex], or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of [tex]y = 3x +3[/tex] is 3 and the slope of [tex]y = 2x + 3[/tex] is 2.  

Now, find the slope of one of the lines in the graphs. To do so, use the slope formula,  [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points on the  chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):

[tex]m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3[/tex]

So, the slope of the red line is 3. Its equation must be [tex]y = 3x + 3[/tex] since it has the matching slope. By process of elimination, the purple line must have the equation of [tex]y = 2x + 3[/tex].

The Matching is:

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We know the slope- intercept form

y= mx+ b

where m is the slope.

For y= 5x+ 2 the slope is 5.

and, for y= 3x+ 3 the slope is 3.

and, for y= 2x+ 3 the slope is 2.

For Graph 1, the slope is 5/1= 5

and, For Graph 2, the slope is 6/2= 3

and, For Graph 3, the slope is 6/3 = 2

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

B

Step-by-step explanation:

Answer:

NO.

Step-by-step explanation:

60.5 + 60.5 = 121

Answer:

Answer is 400:600,6:9,66:99

Step-by-step explanation:

I hope it's helpful!

Answer:

8:12, 16:24 , 32:48

Step-by-step explanation:

'

!  

Answer:

2q-10

Step-by-step explanation:

The product of 2 and q is 2q and ten fewer than that 2q-10

Answer:

95°

Step-by-step explanation:

120° = 25° + y ( exterior angle of a triangle is equal to the sum of two opposite interior angles)

y = 120° - 25°

y = 95°

Hope it will help :)❤

Answer:

[tex]x^{2} + 7x + 12[/tex]

Step-by-step explanation:

This is already factored so I assume you meant expand it.

Answer:

f(-1) = -3

Step-by-step explanation:

(Assuming {2} is ^2)

f(-1) = 3(-1)² + 4(-1) - 2

= 3(1) - 4 - 2 = -3

Answer:

EG = 7

Step-by-step explanation:

The parallel lines cut sides AB and AC into segments with proportional lengths.

AB/DF = AC/EG

(AD + DF + FB)/DF = AC/EG

(18 + 10 + 12)/10 = 28/EG

40/10 = 28/EG

4 = 28/EG

4EG = 28

EG = 28/4

EG = 7

Answer:

37

Step-by-step explanation:

If 30 questions is 79% of the test, then you would need to divide 30/0.79(79%), which equals 37 questions in total on the test.

Answer: 300

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

If all terms are negative then the result will come out positive.

Answer:

esto es correcto, la y sigue siendo la misma

Step-by-step explanation:

Answer: y=4

Step-by-step explanation:

y = 4

Por que y siempre es equitativo a cuatro.

Perdón por los errores en mi español. Es mi segundo idioma.

Answer:

100

Step-by-step explanation:

20+20+20+20+20=100

Hope this helps

Please give me brailiest

Answer:

.

Step-by-step explanation:

Answer:

345 miles

Step-by-step explanation:

So we know that 2 cities are 5.75 inches apart on the map and the scale reads for every 0.5 inch its 30 miles. So we can first start of by diving 5.75 by 0.5, since we need to know how many “0.5” inches are in 5.75 inches. You’d get 11.5. Now 11.5 multiply that by 30 which would get you 345 miles.

9514 1404 393

Answer:

Step-by-step explanation:

In quadrant II, the standard position angle is found by subtracting the reference angle from 180°.

  180° -68° = 112°

__

In quadrant IV, the standard position angle is found by subtracting the reference angle from 360°.

  360° -75° = 285°

__

In quadrant III, the standard position angle is found by adding 180° to the reference angle.

  180° +22° = 202°