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sukhopar [10]
2 years ago
14

How do I solve this equation?

Mathematics
1 answer:
Anon25 [30]2 years ago
6 0

Answer:

By doing process by process

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Let the abbreviation PSLT stand for the percent of the gross family income that goes into paying state and local taxes. Suppose
gavmur [86]

Answer:

Number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

Step-by-step explanation:

We are given that one wants to estimate the mean PSLT for the population of all families in New York City with gross incomes in the range $35.000 to $40.000.

If sigma equals 2.0, we have to find that how many families should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5.

Here, we will use the concept of Margin of error as the statement "true mean PSLT within 0.5" represents the margin of error we want.

<u></u>

<u>SO, Margin of error formula is given by;</u>

       Margin of error =  Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }

where, \alpha = significance level = 10%

            \sigma = standard deviation = 2.0

            n = number of families

Now, in the z table the critical value of x at 5% ( \frac{0.10}{2} = 0.05 ) level of significance is 1.645.

SO,        Margin of error =  Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }

                          0.5   =  1.645 \times \frac{2}{\sqrt{n} }

                         \sqrt{n} =\frac{2\times 1.645 }{0.5}

                         \sqrt{n} =6.58

                           n  =  6.58^{2}

                               = 43.3 ≈ 43

Therefore, number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

4 0
3 years ago
A standard six-sided die is rolled. what is the probability of rolling a number equal to 3? express your answer as a simplified
alexandr402 [8]

there is 1 number 3 on a 6 sided die

 so the probability or rolling a 3 is 1/6

4 0
3 years ago
HELP ME I DON'T UNDERSTAND THIS :(
andriy [413]

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{AD}{WZ} = \frac{CD}{YZ} , substitute values

\frac{10}{46} = \frac{5}{YZ} ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

3 0
3 years ago
12. The sales tax in Marvin's city is 7.33%. He bought a video game system for $299 and 2 games at $49 apiece. What was his tota
katen-ka-za [31]

Answer:

$426

Step-by-step explanation:

Step one:

given data

He bought a video game system for $299

2 games at $49 apiece= 2*49= $98

total cost = 299+98=$397

tax= 7.33%

=7.33/100*397

=0.0733*397

=29.1001

total cost = 29.1001+397

=$426

4 0
2 years ago
Can someone help me write an equation for this problem?
11Alexandr11 [23.1K]
Y=800+175(9)
And then just solve for y.
8 0
3 years ago
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