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3 years ago

What is the perimeter of a square window with sides 36 inches long?

2 answers:

8 0

Well since its a sqaure the sides would be the same.
And since a square has 4 sides we would mulitply 36 times 4
lets do the math
36 x 4 = 144
so the periemter of the window is 144 inches long
i hope this helps:)
and dont forget to
MARK ME BRAINLIEST!

Ierofanga [76]3 years ago

6 0

PERIMETER IS 144 36X4=144

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Jacobs college savings are invested in a bond that pays an annual interest of 6.2% compounded continuously. How long will it tak

DiKsa [7]

Answer:

Therefore the value of bond will triple after 17.72 years.

Step-by-step explanation:

The formula of Compounded continuously

$A=Pe^{rt}$

A= Amount after t year

P= initial amount

r = rate of interest

t= time in year.

Given that,

Jacobs college saving are invested in bond that pay 6.2% compounded continuously.

Let after t years the initial amount P will be triple i.e 3P.

Here P=P, A=3P, r= 6.2%=0.062

$\therefore 3P=Pe^{0.062t}$

$\Rightarrow 3=e^{0.062t}$ [ Multiply $\frac 1P$ both sides]

Taking ln both sides

$\Rightarrow ln3=ln(e^{0.062t})$

$\Rightarrow ln3={0.062t}$ [ since $ln(e^a)=a$ ]

$\Rightarrow t=\frac{ln3}{0.062}$

$\Rightarrow t\approx 17.72$ years

Therefore the value of bond will triple after 17.72 years.

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3 years ago

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3 years ago

Read 2 more answers

A group of consumers were randomly selected and asked whether they were planning to buy a new TV screen within the next year. 56

kodGreya [7K]

Answer:

The approximate probability is 0.1921.

Step-by-step explanation:

The p-value is defined as the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

The hypothesis to test whether the proportion of consumers that plan to buy a new TV screen within the next year is 0.22, is defined as:

H₀: The proportion of consumers that plan to buy a new TV screen within the next year is 0.22, i.e. p = 0.22.

Hₐ: The proportion of consumers that plan to buy a new TV screen within the next year is 0.22, i.e. p > 0.22.

The information provided is:

n = 230

X = 56

Compute the value of sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{56}{230}=0.2435$

Compute the test statistic as follows:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.2435-0.22}{\sqrt{\frac{0.22(1-0.22)}{230}}}=0.87$

The test statistic value is, 0.87.

Compute the p-value as follows:

$p-value=P(Z>0.87)=1-P(Z$

*Use a z-table for the probability.

The p-value of the test is 0.1921.

Thus, the approximate probability of obtaining a sample proportion equal to or larger than the one obtained here is 0.1921.

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3 years ago

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Naya [18.7K]

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Step-by-step explanation:

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3 years ago

Hot air balloons generally descend at the rate of 200 to 400 ft./min. Six balloons to send 245 ft./min. For four minutes find th

Alenkinab [10]

Answer:

1,715 feets

Step-by-step explanation:

Give the following :

General descent rate of hot air balloon = 200 - 400ft/min

Six balloons descend at a rate of 245 ft/min for four minutes

The total change in altitude for all six balloons :

From speed = distance / time

Speed = 245 ft / min ; time = 7 minutes

Hence distance descended by the six balloons :

245 ft/min × 7 minutes = 1,715 fts

Hence total change in altitude = 1,715 feets

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4 years ago