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otez555 [7]
3 years ago
15

I need help with this question

Mathematics
1 answer:
Ghella [55]3 years ago
3 0

{6}^{2}  -  {5}^{2}  \\ 36 - 25 \\ 11
the answer is 11
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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric
allochka39001 [22]
I'm fairly certain that using that wire you can have the same area no matter what dimensions there are, but if you do the square root, or \sqrt{} of 19,001,900 then you get 4359.11688. So your dimensions are 4359.11688 x 4359.11688. To get area, do length x width to get <span>1.9*1 0^{7}.

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4 0
3 years ago
Use the t-distribution and the sample results to complete the test of the hypotheses. Use a significance level. Assume the resul
Ksenya-84 [330]

Answer:

Test statistic = 1.3471

P-value = 0.1993

Accept the null hypothesis.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 4

Sample mean, \bar{x} = 4.8

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 2.3

First, we design the null and the alternate hypothesis

H_{0}: \mu = 4\\H_A: \mu \neq 4

We use two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{4.8 - 4}{\frac{2.3}{\sqrt{15}} } = 1.3471

Now, we calculate the p-value.

P-value = 0.1993

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.

3 0
3 years ago
A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in whic
son4ous [18]

Answer:

\$50+\$31.5x

Step-by-step explanation:

Let

x------> the number of days

y----> the cost of renting a car

we know that

For x

y=\$50+\$35x

For x\geq 7\ days

The rate is equal to

0.90*\$35=\$31.5

so

y=\$50+\$31.5x

In this problem. the car has been rented for more than a week

therefore

x> 7\ days

The cost of renting a car is equal to

y=\$50+\$31.5x

6 0
3 years ago
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​, and a standard deviation given by
kirza4 [7]

Answer: a) The probability is approximately = 0.5793

b) The probability is approximately=0.8810

Step-by-step explanation:

Given : Mean : \mu= 62.5\text{ in}

Standard deviation : \sigma = \text{2.5 in}

a) The formula for z -score :

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

Sample size = 1

For x= 63 in. ,

z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{1}}}=0.2

The p-value = P(z

0.5792597\approx0.5793

Thus, the probability is approximately = 0.5793

b)  Sample size = 35

For x= 63 ,

z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{35}}}\approx1.18

The p-value = P(z

= 0.8809999\approx0.8810

Thus , the probability is approximately=0.8810.

6 0
3 years ago
Suppose your friend's parents invest $10,000 in an account paying 4% compounded annually. What will the balance be after 9 years
LiRa [457]

Answer:

$14233.12

Step-by-step explanation:

10,000(1+.04/1)^1(9)

5 0
3 years ago
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