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3 years ago

The area of a rectangular room is 120 square feet. The width is 10 feet. What is the length?

2 answers:

8 0

The length is 12 square feet. We know the area, and we know the width. The way to find the length is take the area, and divide it by the width. So 120 divided by 10. The answer to that is 12, so 12 square feet is your answer.
~Deceptiøn

melisa1 [442]3 years ago

3 0

Answer: 12 feet

area of a rectangle is L x W
since you are looking for the lenght, you divide 120 from 10
which gives you the answer of 12.

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Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair.

Liula [17]

original correct coordinates of D : (7, 3)

x is the horizontal axis.

y is the vertical axis.

Here Allie mistook the x and y axis completely oppositely.

→ First should be the x axis and then the y axis, (x, y)

4 0

2 years ago

Read 2 more answers

85.38 divided by 4 pls tell me how to do it in long divison pls I need help really!!!

Mariana [72]

Answer:

4269

———— = 21.34500

200

Step-by-step explanation:

Step 1 :

4269

Simplify ————

Equation at the end of step 1 :

4269

———— ÷ 4

Step 2 :

4269

Divide ———— by 4

Final result :

4269

———— = 21.34500

200

Processing ends successfully

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3 years ago

Read 2 more answers

) The National Highway Traffic Safety Administration collects data on seat-belt use and publishes results in the document Occupa

asambeis [7]

Answer:

We conclude that there is a difference in seat belt use.

Step-by-step explanation:

We are given that of 1,000 drivers 16-24 years old, 79% said they buckle up, whereas 924 of 1,100 drivers 25-69 years old said they did.

Let $p_1$ = population proportion of drivers 16-24 years old who buckle up .

$p_2$ = population proportion of drivers 25-69 years old who buckle up .

So, Null Hypothesis, $H_0$ : $p_1-p_2$ = 0 {means that there is no significant difference in seat belt use}

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq$ 0 {means that there is a difference in seat belt use}

The test statistics that would be used here Two-sample z proportion statistics;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of drivers 16-24 years old who buckle up = 79%

$\hat p_2$ = sample proportion of drivers 25-69 years old who buckle up = $\frac{924}{1100}$ = 84%

$n_1$ = sample of 16-24 years old drivers = 1000

$n_2$ = sample of 25-69 years old drivers = 1100

So, test statistics = $\frac{(0.79-0.84)-(0)}{\sqrt{\frac{0.79(1-0.79)}{1000}+\frac{0.84(1-0.84)}{1100} } }$

= -2.946

The value of z test statistics is -2.946.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is a difference in seat belt use.

4 0

3 years ago

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Today's cafeteria s

kobusy [5.1K]

Answer:

Equation 1: 14t + 61s = 150

Equation 2: 14t + 25s = 78

Use Elimination (x)

(-1) (14t + 25s) = (78) (-1)

-14t - 25s = -78

14t + 61s = 150

+ -14t - 25s = -78

--------------------------

36s = 72

s = 2

Salad costs $2

Then find t

14t + 61(2) = 150

14t + 122 = 150

14t = 28

t = 2

Sandwich costs $2

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3 years ago

Factor the expression 54x+8154x+81 using the GCF. 54x+81=54x+81=

nadya68 [22]

We know that GCF stands for Greatest Common Factor and hence we need to apply this in solving the given problem. The solution is shown below:
54x+8154x+81
Combine same terms, we have:
8208X+81
Factoring with the greatest common factor which is 27
304x+3
The answer for the factored expression is 304X + 3.

6 0

3 years ago