Can someone please help with these 3? 40 points :)

P/o/i/t/s/f/r/e/e/;)<br> denada

Bogdan [553]

Thanks! Have a good summer

4 0

3 years ago

Read 2 more answers

Will mark as brainliest plz help <br>The value of (17+ V2)(17– V2) is<br>

MAXImum [283]

Using formula a^2- b^2 = (a-b)(a+b)

$(17 + v ^{2} )(17 - {v}^{2} ) \\ = (17)^{2} - {(v ^{2} )}^{2} \\ = 289 - {v}^{4}$

6 0

3 years ago

Read 2 more answers

a boat capsized and sank in the lake. based on an assumption of a mean weight of 143 lb, the boat was rated to carry 70 passenge

Alenkinab [10]

The final answer is the probability that the boat is overloaded because the mean weight of the 70 passengers is greater than 143lb is 1.0000.

A normal distribution is a continuous data distribution with a bell-shaped curve. The normally distributed random variable X has mean $\mu$ and standard deviation $\sigma$ .

In addition, the standard normal distribution represents a normal curve with a mean of zero and a standard deviation of one.

The number of standard deviations an element deviates from the mean is indicated by a standardized Z-score.

What is the theorem of the central limit?

If the sample size from the population is sufficiently large and has a finite variance, the mean of all samples taken will be approximately the same as the population mean. And the variance would be the population variance divided by the sample size. In addition, the sampling distribution would be roughly normal.
The formula for sampling distribution of the sample mean is $\mu_{\bar{x}}=\mu$
The formula for standard deviation of the sample mean is, $\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}$
Here, $\sigma$ is the population standard deviation and n is the sample size.
The formula for standard z-score is,

$z=\frac{\bar{x}-\mu_{x}}{\frac{\sigma}{\sqrt{n}}}$

From the given information,Population mean, $\mu=171$ ,Population standard deviation, $\sigma=37.7$ ,Sample size, n=70
Compute the probability that the boat is overloaded because the mean weight of the 70 passengers is greater than $143l \mathrm{~b}$ .

$\begin{aligned}P(\bar{X} > 143) &=P\left(\frac{\bar{X}-\mu}{\sigma / \sqrt{n}} > \frac{143-171}{37.7 / \sqrt{70}}\right) \\&=P(Z > -6.21) \\&=1-P(Z < -6.21) \text { (Use the Excel function NORMSDIST(-6.21)) } \\&=1-0.0000 \\&=1.0000\end{aligned}$

To learn more about standard deviation visit:

brainly.com/question/16555520?

#SP4

4 0

2 years ago

What is the slope of the line that passes through the pair of points? (5,2) and (7,8) the answers are 2/3,-2/3,3/2 or -3/2

Mice21 [21]

Answer: The slope is: "3" ; which does not appear among the answer choices given.
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The slope, "m" is calculated as follows:
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Given two coordinates on a line;

m = (y₂ − y₁) / (x₂ − x₁) ;
__________________________________________

We are given the following 2 (TWO) coordinates:
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1) (5,2) ; which is: (x₁ ,y₁) ; so x₁ = 5 ; y₁ = 2 ; AND:

2) (7,8); which is: (x₂ ,y₂) ; so x₂ = 7; y₂ = 8 ;
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So; m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3. The slope is: 3 ; which does not appear among the answer choices given.
______________________________________________
Alternately,
______________________________________________
We are given the following 2 (TWO) coordinates:
__________________________________________
1) (7,8) ; which is: (x₁ ,y₁) ; so x₁ = 7 ; y₁ = 8 ; AND:

2) (5,2); which is: (x₂ ,y₂) ; so x₂ = 5; y₂ = 2 ;
______________________________________________
So; m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3. The slope is 3 ; which does not appear among the answer choices given.
________________________________________________

6 0

3 years ago

Which equation represents the function graphed on the coordinate plane? g(x) = |x + 4| – 2 g(x) = |x – 4| – 2 g(x) = |x – 2| – 4

Misha Larkins [42]

Answer:

$g(x)=|x+4|-2$