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Lesechka [4]
3 years ago
10

Marketing companies are interested in knowing the population percent of women who make the majority of household purchasing deci

sions. When designing a study to determine this population proportion, what is the minimum number you would need to survey to be 90% confident that the population proportion is estimated to within 0.05? (Round your answer up to the nearest whole number.)
Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer: 271

Step-by-step explanation:

As per given description in the question, we have

Critical value for 90% confidence interval = z_{\alpha/2}=1.645

[using z-value calculator ]

Margin of error : E= 0.05

Since prior estimate of population proportion is unknown so we take p= 0.5

Formula we use to find the sample size :

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2  [we assume p= 0.50]

i.e. n=0.5(1-0.5)(\dfrac{1.645}{0.05})^2

Simplify :

\Rightarrow\ n=270.6025\approx271  

Therefore , the minimum sample size required = 271

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The function h(x) is defined by the expression x2 - 4x + 3. Use factoring
nekit [7.7K]

Answer:

The zeros are x = 1 and x = 3

In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.

Step-by-step explanation:

Given the expression:

x² - 4x + 3

Rewrite -4x term:

x² - x - 3x + 3

Take x as common factor in the first terms, and -3 in the last terms:

x(x - 1) - 3(x - 1)

Take (x - 1) as common factor:

h(x) = (x - 1)(x - 3)

6 0
3 years ago
I need help with this!
Leviafan [203]

Solution

f(r) = 3.14r^{2}

Now we have to find the area of the circle when the radius (r) = 4.

Plug in r = 4 in f(r) to get the area of the circle.

f(4) = 3.14(4^{2} )

f(4) = 3.14 * 4 * 4

f(4) = 3.14 *16

f(4) = 50.24

The answer is C. 50.24

7 0
4 years ago
Please help!!<br><br> Which system of inequalities is represented by the graph?
kifflom [539]

Answer:

The third option

y < -2x +2

y < or = 1/2x -1

y > or = -4

Step-by-step explanation:

Solved on Desmos graphing calculator ;)

6 0
3 years ago
Andrea and Ashley are middle distance runner's for the schools traffic and FaceTime in the 500 m race are approximately normally
swat32

Answer:

0.006 is the probability that the record will be broken in next year.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 62 seconds

Standard Deviation, σ = 0.8 seconds

We are given that the distribution of face time is a bell shaped distribution that is a normal distribution.

Formula:

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

The record will be broken if the time is less than 60 seconds.

P(time is less than 60 seconds)

P(x < 60)

P( x < 60) = P( z < \displaystyle\frac{60 - 62}{0.8}) = P(z < -2.5)

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

P(x < 60) =0.006 = 0.6\%

Thus, 0.006 is the probability that the record will be broken in next year.

6 0
3 years ago
Given ƒ(x) = 8x + 25, find x when ƒ(x) = 9.
liubo4ka [24]

Answer:

x=  -2

Step-by-step explanation:

f(x) is the same thing as y so just subtract 25 and divide by 8.

8 0
4 years ago
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