What is the value of y in (1/2)x + 3 = (1/3)y - 2 if x = 28/3?

Answer:

64.80

Step-by-step explanation:

Answer:

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

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.

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.

This means that [tex]\mu = 71.3, \sigma = 2.1[/tex]

Sample of 36:

This means that [tex]n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35[/tex]

Find the probability that they have a mean height greater than 72.3 inches.

This is 1 subtracted by the pvalue of Z when X = 72.3. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{72.3 - 71.3}{0.35}[/tex]

[tex]Z = 2.86[/tex]

[tex]Z = 2.86[/tex] has a pvalue of 0.9979

1 - 0.9979 = 0.0021

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

Answer:

B

Step-by-step explanation:

Hope I helped! I tried my best.

Answer:

B

Step-by-step explanation:

Answer:

6 yards is more, 6 yards converted into inches is 216

Step-by-step explanation:

Answer:

6 yards

Step-by-step explanation:

1 inch = 0.0277778 yard

=> 215 inches = 5.97222 yards

- But 5.97222 < 6

Therefore, 6 yards are longer than 215 inches

Answer:

[tex] 148 \frac{3}{4} \: {in}^{3} [/tex]

Step-by-step explanation:

volume of the right rectangular prism

[tex] = lwh \\ \\ = 10 \times 4 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = 10 \times \frac{17}{4} \times \frac{7}{2} \\ \\ = \frac{595}{4} \\ \\ = 148 \frac{3}{4} \: {in}^{3} [/tex]

Answer: The volume is 148 3/4 in3.

Step-by-step explanation:

V= l*w*h      

V= 10* 4 1/4* 3 1/2

V= 148 3/4

Answer:

she tips $9

Step-by-step explanation:

Answer:

how do i draw the graph

Step-by-step explanation:

Answer:

I attached my sketch of it. Notice how as the y value goes down 1, the x value goes to the right 2.

I would appreciate Brainliest but no worries.

Answer:

I think 3lb is greater

Step-by-step explanation:

Answer:

26 degrees :)

Step-by-step explanation:

Answer:

$0.71

Step-by-step explanation:

9.99 + (3% of 9.99) = 10.2897

11 - 10.2897 = 0.7103, so $0.7103 is our answer. However, this isn't a real amount of money that can be handed from a clerk to a customer. So, we will round it to the nearest cent, bringing us to $0.71, our final answer.

Step-by-step explanation:

measure all the sides then multiply you will get the answer

Answer:

Step-by-step explanation:

C(16, 4)   = 1820 ways

16

   C

     4                    = (16x15x14x13)  /  (4x3x2x1)

Answer:

Perimeter = 4(√2 + √5) units

Step-by-step explanation:

Given:

Quadrant of 4 points;

A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Find:

Perimeter

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(3 - 1)² + (5 - 3)²

Distance between AB = √4 + 4

Distance between AB = 2√2 units

Distance between BC = √(1 - 3)² + (3 + 1)²

Distance between BC = √4 + 16

Distance between BC = 2√5 units

Distance between CD = √(3 - 5)² + (-1 - 3)²

Distance between CD = √4 + 16

Distance between CD = 2√5 units

Distance between DA = √(5 - 3)² + (3 - 5)²

Distance between DA = √4 + 4

Distance between DA = 2√2 units

Perimeter = sum of all sides

Perimeter = 2√2 + 2√5 + 2√2 + 2√5

Perimeter = 4√2 + 4√5

Perimeter = 4(√2 + √5) units

Answer:

Graph A

Step-by-step explanation:

the zeros of the function are

0=x+2  x=-2

and

0=x+7  x=-7

so the graph where the function crosses those two points at y=0

Answer:

Clean and Bright

Step-by-step explanation:

For soapy suds, you would do 13×12, would would give you only 156 sq inches. However, with Clean and Bright, you would do 9×13×8 since it is three dimensional. This would give you 936 cubic inches, meaning it holds the most detergent.

Answer:

x = 180° - 72° = 108°

Because x and 72 degrees are supplementary angles.

Look at the attached screenshot for my answer!!! Hope this helps!! Have a wonderful life now!!!

Answer:

i really dont know but i hope you get it right good luck

Step-by-step explanation:

Answer:

We conclude that the mean age of average viewer has changed

Step-by-step explanation:

H0 : μ = 43

H1 : μ > 43

The test statistic :

(xbar - μ) ÷ σ/sqrt(n)

Sample size, n = 100

xbar = 45 ; σ = 5

Test statistic :

(45 - 43) ÷ 5/sqrt(100)

2 ÷ 0.5 = 4

The Pvalue :

P(Z < 4) = 0.000032

Pvalue < α

0.000032 < 0.05 ; Hence, we reject the Null

We conclude that the mean age of average viewer has changed

Answer:

Angle Q: 67 degrees

Angle P: 113 degrees

Step-by-step explanation:

You can write an equation to solve this. We know that angle P + angle Q = 180. If we substitute angle Q into the second equation we get angle P = 2*angle Q -21.

Plugging that knowledge into the first equation, we get 2*angle Q-21 + angle Q =180. Simplifying, we get 3* angle Q -21 = 180. Adding 21 to both sides gives us 3*angle Q = 201, dividing by 3 gives us angle Q = 67. 180-67= 113 so angle P is 113.

Answer:

1/9 i think not sure

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Well the chance of picking 3 one time is 1/3

The chance of picking 3 the second time is 1/3

So at first, we've succeeded with probability 1/3 and failed with probability 2/3

We don't care what happens next if we've failed - we already failed.

So we've reached the "picking the second card with hope in our hearts" 1/3 of the time and we again succeed with 1/3 of a chance, so the total probability of success is 1/3 * 1/3 = 1/9

Think of the options:

3 and 3 - probability 1/3 * 1/3 = 1/9

3 and non-3 - probability 1/3 * 2/3 = 2/9

non-3 and 3 - probability 2/3 * 1/3 = 2/9

non-3 and non-3 - probability 2/3 * 2/3 = 4/9

Note that all the options sum to 1 - as probabilities of all options always should.

Answer:

adjacent

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

im on plato just passed the test

Answer:

that would be 6

x = 6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

yoy need to find hue multiplying factor, this is done by dividing one of the sides in QRS, by one in ABC. you can divide 10 by 4 to give you 2.5, and then multiply that by 2 to get 5

Answer:

2/3

Step-by-step explanation:

I think that's the answer.

Answer:

X =64

Step-by-step explanation:

Answer: 2.90 acres.

Step-by-step explanation:

1.45x2 or 1.45 + 1.45