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JulijaS [17]
4 years ago
13

Given the following formula, solve for l. (look at picture for question)

Mathematics
2 answers:
kirill [66]4 years ago
6 0

Answer:

D

Step-by-step explanation:

Given

P = 2(l + b) ← distribute parenthesis

P = 2l + 2b ( subtract 2b from both sides )

P - 2b = 2l ( divide both sides by 2 )

\frac{P-2b}{2} = l → D

Anvisha [2.4K]4 years ago
6 0

Answer:

D

Step-by-step explanation:

You have P=2(l+b)

First, you expand the right side of the equation and get P=2l+2b

Next, you subtract 2b from each side to get P-2b = 2l

Then divide by 2 to get l = (P-2b)/2

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KIM [24]
I’m pretty sure it’s c
8 0
3 years ago
Which measure is cloest to the length of a side of a square that has an area of 221 square feet? 11.0 ft 14.69 ft 16.4 ft 55.2 f
Degger [83]

Answer:

14.69 ft.

Step-by-step explanation:

Area of a square:

A= a^2

Given:

A=221 ft^{2}

Solve:

221= a^2

\sqrt{221}=\sqrt{a}^2

a is approx. equal to 14.87 ft.

which is 14.69 ft.

8 0
3 years ago
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 vote
Likurg_2 [28]

Answer:

Test statistic z = 2.3839.

P-value = 0.0086.

At a signficance level of 0.05, there is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is above 56%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.56\\\\H_a:\pi>0.56

The significance level is 0.05.

The sample has a size n=900.

The sample proportion is p=0.6.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.56*0.44}{900}}\\\\\\ \sigma_p=\sqrt{0.000274}=0.017

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.6-0.56-0.5/900}{0.017}=\dfrac{0.039}{0.017}=2.3839

This test is a right-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z>2.3839)=0.0086

As the P-value (0.0086) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

3 0
4 years ago
Which set of coordinates, paired with (-3, -2) and (-5, -2), result in a square?
dsp73

Answer:

  (c)  (-3, 0) and (-5, 0)

Step-by-step explanation:

The given coordinates are -3 -(-5) = 2 units apart on the horizontal line y=-2.

Then the needed coordinates will be on the vertical lines x=-5 and x=-3, and will have y-coordinates that are different from -2 by 2: either -4 or 0.

The points that meet these requirements are (-3, 0) and (-5, 0).

7 0
2 years ago
Harry rolls a number cube.what is the probability that he will roll an even number greater then 4
neonofarm [45]

Answer:

2/3 or 80 percent

Step-by-step explanation:

4 0
3 years ago
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