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3 years ago

About how many feet does a team of athletes run in a 1600 meter relay race

1 answer:

7 0

1 feet = 0.3048 m

0.3048 m = 1 feet

1 m = (1/0.3048) feet

1600 m = 1600 * (1/0.3048) ≈ 5249.34

1600 m ≈ 5249.34 feet

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One employee of a computer store is paid a base salary of $2,000 a month plus an 8% commission on all sales over $7,000 during t

Arte-miy333 [17]

Answer: the employee must make sales of $32000

Step-by-step explanation:

Let x represent the total sales that the employee makes in a month.

One employee of a computer store is paid a base salary of $2,000 a month plus an 8% commission on all sales over $7,000 during the month. This means that if the employee makes sales of $x in a month, his total earnings for that month would be

2000 + 8/100(x - 7000)

= 2000 + 0.08(x - 7000)

= 2000 + 0.08x - 560

= 0.08x + 1440

Therefore, for the employee to earn

a total of $4,000 for the month, the amount of sales would be

0.08x + 1440 = 4000

0.08x = 4000 - 1440

0.08x = 2560

x = 2560/0.08

x = $32000

6 0

3 years ago

Find the equation of the graphs indicated on the diagram below.

spayn [35]

Answer:

Step-by-step explanation:

7 0

2 years ago

Use the given information to find the minimum sample size required to estimate an unknown population mean μ

Nastasia [14]

Answer:

Step-by-step explanation:

Margin of error = E = $ 120

Confidence Level = 95%

The z-score for 95% confidence level from the z-table = z = 1.96

Population standard deviation = σ = $593

Sample size = n = ?

The formula to calculate the margin of error is:

$E=\frac{z \sigma}{\sqrt{n} }$

Re-arranging the equation, we get:

$\sqrt{n}=\frac{z \sigma}{E}\\\\ n = (\frac{z \sigma}{E})^{2}$

Using the given values in above equation, we get:

$n=(\frac{1.96 \times 593}{120} )^{2}\\\\ n = 93.8$

Rounding of to next higher integer, we get n = 94

Thus, we need a sample size of 94 to estimate an unknown population mean μ

4 0

3 years ago

A news organization previously stated that three of four people believed that the state of the economy was the country's most si

timama [110]

Answer:

Option d)

$H_{0}: p = 0.75\\H_A: p \neq 0.75$

Step-by-step explanation:

We are given the following in the question:

Three of four people believed that the state of the economy was the country's most significant concern.

They would like to test the new data against this prior belief.

The null hypothesis will state that the three of four people believed that the state of the economy was the country's most significant concern.

The alternate hypothesis will state that this is not true. It states that people believed that the state of the economy was the country's most significant concern is not the same.

$p =\dfrac{3}{4} = 0.75$

We design the null and the alternate hypothesis

$H_{0}: p = 0.75\\H_A: p \neq 0.75$

4 0

4 years ago

The additive nverse of a number a is the number that, when added to a, yields zero. Choose 5 ordered pairs whose first component

Vlad [161]

The points I chose and their connection are shown in the attached graph.

4 0

3 years ago