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2 years ago

A bucket was placed under a water leak in a ceiling. in half an hour the bucket was 1/5 of the way full. write an equation that

represents the number of buckets filled ,y, in × hours

Mathematics

1 answer:

mr_godi [17]2 years ago

8 0

$\frac{1}{5} x = y$

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Santiago hopes to buy a 4 horse trailer for about $12000. Describe all the numbers that when rounded to the nearest hundred are

jok3333 [9.3K]

To round a number to the nearest hundred, we count two places to the left of the decimal point, or from the last digit if the number is a whole number.

If the second digit from the last digit is upto 5, we add 1 to the preceding digit and we complete the last two numbers with zeros.

Therefore, any number from 11,950 to 12,049, will result to 12,000 when rounded to the nearest hundred.

8 0

2 years ago

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

gizmo_the_mogwai [7]

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

2 years ago

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

STatiana [176]

Answer:

D. $3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

Step-by-step explanation:

$9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =$

$= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4$

$= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

4 0

1 year ago

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Simplify the following expression, if you can see the picture the expression is as follows:

Kobotan [32]

$\sqrt{40}=2 \sqrt{10}$ and $\sqrt{90} = 3\sqrt{10}$ , so we have $\sqrt{10}(2-1+3)$ . which is $4 \sqrt{10}$ .

8 0

2 years ago

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,

Damm [24]

Answer:

Susan's take-home pay $48,645.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

Social security tax = 6.2% of $70,000.

$=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.$