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3 years ago

15

PLS HELP DUE SOON!! (retest) will give brainliest <3

1 answer:

igor_vitrenko [27]3 years ago

8 0

Answer:

B and D

Step-by-step explanation:

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What is the mean of the set of numbers?

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The mean of your question would be -2.5

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Samantha drives 2,100 miles each week how many miles does she drive in 4 weeks

adelina 88 [10]

Answer:8,400 miles

Step-by-step explanation: You would do 2,100•4 because you are driving 2,100 miles a week and there are 4 weeks you would have to times the amount of miles by how many weeks

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Find the missing length of the following trapezoid

Schach [20]

Answer:

1) The length of $DC$ is 20.

2) The length of $PS$ is 17.

Step-by-step explanation:

1) If $DR = RE$ and $CS = SB$ , then we can use the following proportionality ratio:

$\frac{DE}{DR} = \frac{32 - x}{26 - x}$ (1)

Where $x$ is the length of segment $\overline{CD}$ .

If $DE = 2\cdot DR$ , then the value of $x$ is:

$2 = \frac{32-x}{26-x}$

$52 - 2\cdot x = 32 - x$

$20 = x$

The length of $DC$ is 20.

2) If $QV = VP$ and $RW = WS$ , then we can use the following proportionality ratio:

$\frac{QP}{QV} = \frac{x-7}{12-7}$ (2)

Where $x$ is the length of segment $\overline{PS}$ .

If $QP = 2\cdot QV$ , then the value of $x$ is:

$2 = \frac{x-7}{5}$

$10 = x-7$

$x = 17$

The length of $PS$ is 17.

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3 years ago

Greg pulls two coins out of his pocket randomly without replacement. If his pocket contains one nickel, one dime, and one quarte

Verdich [7]

I believe the probability would be 2/3

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3 years ago

Consider the following probability distribution function of the random variable X which represents the number of people in a gro

Troyanec [42]

Answer:

(a) 3.55

(b) 3.45 and 1.86

(c) 0.25

(d) 0.016

Step-by-step explanation:

The random variable <em>X</em> denotes the number of people in a group (party) at a restaurant.

(a)

The formula to compute the mean is:

$\mu=\sum {x\cdot P(X=x)}$

Consider the Excel sheet attached.

The mean is, 3.55.

(b)

The formula to compute the variance is:

$\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}$

Consider the Excel sheet attached.

Compute the variance as follows:

$\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}\\\\=16.05-(3.55)^{2}\\\\=3.4475\\\\\approx 3.45$

The variance is, 3.45.

Compute the standard deviation as follows:

$\sigma=\sqrt{\sigma^{2}}\\\\=\sqrt{3.45}\\\\=1.85742\\\\\approx 1.86$

The standard deviation is, 1.86.

(c)

Compute the probability that the next party will be over 4 people as follows:

$P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\=0.10+0.05+0.05+0.05\\\\=0.25$

Thus, the probability that the next party will be over 4 people is 0.25.

(d)

Compute the probability that the next three parties will each be over 4 people as follows:

It is provided that the three parties are independent.

P (Next 3 parties will be each over 4) = [P (X > 4)]³

$=(0.25)^{3}\\=0.015625\\\approx 0.016$

Thus, the probability that the next three parties will each be over 4 people is 0.016.

3 0

2 years ago