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kotykmax [81]
3 years ago
11

A rectangle has an area of 96 in2. The rectangle's base is 4 in. What is the height of the rectangle?

Mathematics
2 answers:
gavmur [86]3 years ago
6 0
96/4=24in, so B
Hope this helps :)
Vedmedyk [2.9K]3 years ago
6 0

Answer:

B. 24

Step-by-step explanation:

Formula for area of a rectangle: base × height/ length × width

To find the height, divide the area by the base.

96/4=24in

formula=base *height/length*width

4*24=96in^2

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What is the slope of the line represented by the equation 10x - y = 2?
matrenka [14]

Answer:

D. 10

Step-by-step explanation:

To find the slope of the equation, we first need to put the equation into slope-intercept form:

y=mx+b

So first, we need to get y by itself.

10x-y=2

Subtract 10x from both sides.

-y=-10x+2

Then, divide -1 on both sides.

y=10x-2

Slope=10

8 0
3 years ago
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Identify the correct phrase to complete the statement.
shusha [124]
B!!



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Which of the following equations are linear or nonlinear?
gavmur [86]

Answer:

1. Linear

2. Nonlinear

3. Linear

4. Linear

5. Nonlinear

Step-by-step explanation:

Thies equation are in the form y=mx+b. Where m is the slope and b is the y-intercept. To solve them you neeed to see the power x is taken to. If the power on x is bigger than 1 than one, then it will curve at some point. This makes 2 and 5 nonlinear

4 0
3 years ago
What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth
anyanavicka [17]

Answer:

\dfrac{3}{2}

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

-\dfrac{3}{8}

2nd fraction is negative one-fourth

i.e.

-\dfrac{1}{4}

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}

\div is converted to \times and the 2nd fraction is reversed i.e.

if the fraction is \frac{p}{q} it becomes \frac{q}{p} and the sign \div is changed to \times.

Solving above:

-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}

So, the quotient is \frac{3}{2}.

6 0
3 years ago
The director of the library calculates that 29% of the library's collection is checked out. If the director is right, what is th
marusya05 [52]

Answer:

The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.

Step-by-step explanation:

The population's proportion is \pi=0.29

If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

\sigma_M=\sqrt{\frac{\pi(1-\pi)}{n}}=\sqrt{\frac{0.29*0.71}{412}}=\sqrt{0.0005} =0.0224

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

z_1=(0.25-0.29)/0.0224=-0.04/0.0224=-1.7857\\\\z_2=1.7857\\\\\\P(0.25

8 0
3 years ago
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