So I need help with this math problem

Mathematics

1 answer:

jenyasd209 [6]3 years ago

4 0

You would solve this problem by using Pythagorean Theorem. This theorem states a^2+b^2=c^2. C is ALWAYS the hypotenuse. We would have to solve for the smaller triangle first. It would look something like this.
3^2+b^2=5^2
9+b^2=25
b^2=16
b=4
Therefore, the missing side to the small triangle is 4. Now, we can solve for the hypotenuse of the bigger triangle,
4^2+7^2=c^2
16+49=c^2
65=c^2
Side z is approximately equal to 8.

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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.

SO, Margin of error formula is given by;

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

Is -8 = 8

madam [21]

No solution

The answer is D

5 0

2 years ago

A vehicle purchased for $ 27500 depreciates at a constant rate of 4 % . Determine the approximate value of the vehicle 12 years

Anna35 [415]

Answer:

$13,200

Step-by-step explanation: