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3 years ago

The formula P=2(l + w)relates the perimeter P, in decimeters, with the length and width of a rectangle.

Mathematics

1 answer:

Degger [83]3 years ago

8 0

Answer:

3. w=P/2-L

Step-by-step explanation:

Given formula:

P=2(l + w)

Solving for w:

P=2(l + w)
P/2 = 2(l + w)/2
P/2 = l + w
P/2 - l = l + w - l
P/2 - l = w
w = P/2 - l

Correct answer choice is:

3. w=P/2-L

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Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their

Andreas93 [3]

Answer:

$0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151$

$0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233$

Step-by-step explanation:

Information given

$X= 48$ number of people who rent their home

$n= 250$ represent the sample size

$\hat p =\frac{48}{250}= 0.192$ represent the proportion of people who rent their home

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.645$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151$

$0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233$

3 0

3 years ago

Marty used the graph to determine if he should go to the beach on vacation. He did not want to go if there were more than 500 pe

slega [8]

Answer:

Step-by-step explanation:

he is benifeting from both

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3 years ago

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Let f(x) = x2 – 4, x < 0. What is f-1?

Galina-37 [17]

Answer:

-3

Step-by-step explanation:

f(x) = x2 – 4

replace x with -1

f(-1) = (-1)^2 – 4

= -3

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2 years ago

Need help doing this, please show steps. :)

Pavel [41]

Answer:

75.02 ft

Step-by-step explanation:

Split the problem into 2 different part. The bottom part of the tree is 5 feet because that's where your eye levels are, so you just have to solve the top part of the tree.

The top part of the tree is solved by finding the height of the triangle. If you remember SohCahToa, the opposite side of the angle is solved using tangent.

tan(angle) = opposite/adjacent

tan(35) = x/100, x is just the unknown height of the tree.

multiply 100 on both side to get x by itself.

x = 100tan(35)

x = 70.02

add that top height of the tree(70.02ft) with the bottom height of the tree(5ft).

70.02+5 = 75.02 ft

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3 years ago

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What are square meters

marissa [1.9K]

A unit area measurement equal to a square measuring one meter on each side

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3 years ago