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My name is Ann [436]
3 years ago
13

A rectangle table is two times as long as it is wide. If the area is 50ft^2. Find the length and width of the table.

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

W = 5 ft; L = 10 ft

Step-by-step explanation:

Start by representing the length and width:

W = W

L = 2W

Area of rectangle = L * W = 2W * W = 50 ft^2.  Then 2W^2 = 50 ft^2.

Solving for the width W results in W^2 = 25 ft, or W = 5 ft.

The length, L, is therefore L = 2W = 10 ft.

Check:  Does L * W = 50 ft^2?  Does (5 ft)(10 ft) = 50 ft^2?  YES

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3. x=7
4. x=-4

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The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are
USPshnik [31]

The appropriate hypothesis which is used to test the dropout rate are H_{0}:p > =0.081\\ and H_{1}: p < 0.081.

Given Drop out rate through 24 year old who are not enrolled is 8.1%, sample size=1000 and we have to find the hypothesis to test the drop out rate of the school.

The variable which needs to be studied is X=Number of individuals with age between 16 and 24 years old that are high school dropouts.

The parameter of interest is the proportion to high school drop outs is p.

Sample proportion=p^{1}=0.065

The hypothesis can be formed as under:

H_{0}:p > =0.081  (null hypothesis)

H_{1}:p < 0.081      ( alternate hypothesis)

Null hypothesis is a hypothesis which is tested for its validity and alternate hypothesis is hypothesis which is opposite of null hypothesis means if null hypothesis is rejected then the alternate hypothesis will be true.

Z_{H_{0} }=(p^{1}-p)/\sqrt{p*(1-p)/n}

=0.065-0.081/\sqrt{(0.081*0.0919)/1000}

=-1.85

Hence the appropriate hypothesis  are H_{0}:p > =0.081 and H_{1}:p < 0.081.

Learn more about hypothesis at brainly.com/question/11555274

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2 years ago
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