A recipe calls for 1/3/4 cups of sugar. The recipe requires 3/4 cup more flour than sugar and 1/2 cup less butter than sugar.

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

Indicate whether or not 1/√2 belongs to each set of numbers<br><br>

Oksi-84 [34.3K]

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Hey mate Whole numbers is your Answer

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6 0

3 years ago

What is (13-2x)(13-2x) ?

Irina-Kira [14]

(13-2x)(13-2x)

(13+-2x)(13+-2x)

(13)(13)+(13)(-2x)+(-2x)(13)+(-2x)(-2x)

169-26x-26x+4x^2

4x^2-52x+169

I hope that's help !

I

3 0

3 years ago

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A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number of subscribers, S, that use their service after y

Ivahew [28]

Options :

A. Every year the number of subscribers is estimated to increase by 8 over the number

of subscribers the year before.

B. Every year the number of subscribers is estimated to increase by 8% of the original

20,000 subscribers

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

D. Every year the number of subscribers is estimated to increase by 80% of the

original 20,000 subscribers.

Answer:

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

Step-by-step explanation:

Given that:

The formula represents an exponential function :

S = 20,000 (1 + 0.08)^y

General form of an exponential equation :

y(x) = ab^x

Where a = initial value ; b = rate of change ; x = time

Comparing the formula given with the general equation:

a = 20000 = Number of subscribers when company began

b^x = (1 + 0.08)^y = percentage increase in the number of subscribers over y years

8 0

2 years ago

What is the first step in finding the area of a composite figure?complete the description.

son4ous [18]

Answer:

what is the compostie fig.??

Step-by-step explanation:

4 0

3 years ago

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