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3 years ago

If f(x) = x^2+1 and g(x) = x-4, which value

Mathematics

1 answer:

Delicious77 [7]3 years ago

7 0

It would value to -15 because you just need to plug in the (-4) into the X

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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.

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<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

Gabrielle is 9 years younger than Mikhail. The sum of their ages is 75 . What is Mikhail's age?

Damm [24]

Answer: We know Gabrielle is 9 yrs younger than Mikhail hence it will be x-9 yrs. Sum of their ages is 87. Mikhail's age is 48 yrs.

HOPE THIS HELPS

6 0

2 years ago

A ski hat is priced at 19.50 and a pair of ski boots are priced at 85.50. If the sales tax rate is 7%, then what is the total co

m_a_m_a [10]

Answer:

The total cost of the ski hat and the ski boots is $112.35.

Step-by-step explanation:

First, we need to add the prices of the ski hat and the ski boots.

85.50 + 19.50 = $105

Now, we need to find 7% of $105, and then add it to the total.

105 x 0.07 = $7.35

105 + 7.35 = $112.35

Therefore, the total cost of the ski hat and the ski boots is $112.35.

Let me know if this helps!

3 0

2 years ago

Read 2 more answers

A store sells snacks by weight. A six ounce bag of nuts costs 3.60 will a two ounce bag cost more than or less than 1.25

densk [106]

5.30 it is correct hope this works brah

6 0

3 years ago

A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per h

pickupchik [31]

Answer:

The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

5 0

2 years ago