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2 years ago

the coordinates of the vertices of a polygon are shown on the graph below what is the name of the polygon HELPPP ANSWER FAST

Mathematics

2 answers:

notsponge [240]2 years ago

7 0

Answer:

quadrilateral

Step-by-step explanation:

Hope this helps! Brainliest please if you can! :D

exis [7]2 years ago

6 0

Answer:

Step-by-step explanation:

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A selective college would like to have an entering class of 950 students. Because not all students who are offered admission acc

pogonyaev

Answer:

a) The mean is 900 and the standard deviation is 15.

b) 100% probability that at least 800 students accept.

c) 0.05% probability that more than 950 will accept.

d) 94.84% probability that more than 950 will accept

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

(a) What are the mean and the standard deviation of the number X of students who accept?

$n = 1200, p = 0.75$ . So

$E(X) = np = 1200*0.75 = 900$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.75*0.25} = 15$

The mean is 900 and the standard deviation is 15.

(b) Use the Normal approximation to find the probability that at least 800 students accept.

Using continuity corrections, this is $P(X \geq 800 - 0.5) = P(X \geq 799.5)$ , which is 1 subtracted by the pvalue of Z when X = 799.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{799.5 - 900}{15}$

$Z = -6.7$

$Z = -6.7$ has a pvalue of 0.

1 - 0 = 1

100% probability that at least 800 students accept.

(c) The college does not want more than 950 students. What is the probability that more than 950 will accept?

Using continuity corrections, this is $P(X \geq 950 - 0.5) = P(X \geq 949.5)$ , which is 1 subtracted by the pvalue of Z when X = 949.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{949.5 - 900}{15}$

$Z = 3.3$

$Z = 3.3$ has a pvalue of 0.9995

1 - 0.9995 = 0.0005

0.05% probability that more than 950 will accept.

(d) If the college decides to increase the number of admission offers to 1300, what is the probability that more than 950 will accept?

Now n = 1300. So

$E(X) = np = 1300*0.75 = 975$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.75*0.25} = 15.6$

Same logic as c.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{949.5 - 975}{15.6}$

$Z = -1.63$

$Z = -1.63$ has a pvalue of 0.0516

1 - 0.0516 = 0.9484

94.84% probability that more than 950 will accept

5 0

2 years ago

The Lane School sold 1,152 granola bars to raise money for digital cameras. All the granola bars were either berry bars or raisi

11Alexandr11 [23.1K]

Answer:

26 boxes of raisin bars

Step-by-step explanation:

Take the total bars sold 1152 then subtract the berry bars 528 and you'll get 624. Next you'll divide the 624 by 24 because that's how many that's in a full box. Finally you'll get your answer of 26 boxes.

1152-528=624 ➗ 24 = 26

7 0

3 years ago

If G( x ) = 3 x + 1, then G -1 (1) is...<br><br> -1/3<br> -4<br> -0

GarryVolchara [31]

Answer:

-4

Step-by-step explanation:

3+1 = 4 so just put a dash at the start and you ger -4

5 0

2 years ago

Given 16 = −5 + z4solve for z

AysviL [449]

Hi,

$16 = - 5 + z4 \\ - 4z + 16 = - 5 \\ - 4z = - 5 - 16 \\ - 4z = -21$

Now just divide both sides of equation by -4.

$z = \frac{21}{4}$

Simplify:

$z = 5 \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: fraction \: result$

Decimal form:

$z = 5.25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: decimal \: result$

Hope this helps.
r3t40

8 0

3 years ago

Read 2 more answers

A 180 degree rotation around the origin

ivanzaharov [21]

Answer:

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k)

Step-by-step explanation:

IDK if this helped you out

3 0

2 years ago

the coordinates of the vertices of a polygon are shown on the graph below what is the name of the polygon HELPPP ANSWER FAST​

the coordinates of the vertices of a polygon are shown on the graph below what is the name of the polygon HELPPP ANSWER FAST