Drag the correct steps into order to solve the equation -7x + 14 = 56 for x.

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

3 years ago

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice

Alexxx [7]

Answer:

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.

5 0

3 years ago

A _______ is a variable, an integer or a product of variables and<br> integers.

Assoli18 [71]

Product variation .

3 0

2 years ago

22.83/0.06 = __________

enot [183]

Answer: 380.5

Step-by-step explanation: you can type it into desmos graphing calculator

6 0

1 year ago

5. Determine the length of side y to the nearest hundredth.

KonstantinChe [14]

Answer:

64.50 cm

Step-by-step explanation:

$\sin \: 51 \degree = \frac{y}{83} \\ \\ 0.7771459615 = \frac{y}{83} \\ \\ y = 0.7771459615 \times 83 \\ \\ y = 64.5031148 \\ \\ \huge \red{ \boxed{ y = 64.50 \: cm}}$

8 0

3 years ago