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3 years ago

Which event has a probability other than 3?

1 answer:

6 0

The probability of compound events combines at least two simple events, either the union of two simple events or the intersection of two simple events.

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Which sets of coordinate pairs lie on the line created by the equation 2x-2=y?

Agata [3.3K]

X intercept=(1,0)
Y intercept=(0,-2)
You get x by substituting 0 for y and you get y by substituting 0 for x therefore to find y coordinates,
2(0)-2=y
0-2=y
-2=y so (0,-2)
And to find x coordinates,
2x-2=0
2x=2
2x/2=2/2
X=1 so (1, 0)

7 0

3 years ago

The number of times that students go to the movies per year has mean is a normal distribution with a mean of 17 with standard de

antiseptic1488 [7]

Answer:

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a sample of size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 17, \sigma = 8, n = 10, s = \frac{8}{\sqrt{10}} = 2.53$

What is the probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times?

This probability is the pvalue of Z when X = 18 subtracted by the pvalue of Z when X = 14. So

X = 18

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

By the Central Limit Theorem

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

$Z = \frac{18 - 17}{2.53}$

$Z = 0.4$

$Z = 0.4$ has a pvalue of 0.6554

X = 14

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

$Z = \frac{14 - 17}{2.53}$

$Z = -1.19$

$Z = -1.19$ has a pvalue of 0.1170

0.6554 - 0.1170 = 0.5384

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

3 0

3 years ago

This rectangular prism is intersected by a plane that contains points B, D, H, and F.

tankabanditka [31]

Answer:

The perimeter of the cross section is 33.3 cm

Step-by-step explanation:

Given: A rectangular prism with height 6 centimeters, length 8 centimeters, and width 7 centimeters. The rectangular prism is intersected by a plane that contains points B, D, H, and F.

We have to determine the perimeter of the cross section.

Since, The plane is drawn diagonally such that it intersect the points B, D, H, and F.(as shown in figure below)

Perimeter of a figure is the sum of its outer boundaries.

We first find the length of diagonal HF.

Since, HGFE , is a rectangle

So, Diagonal of rectangle is given by

$D=\sqrt{Length^2+breadth^2}$

Here, Length = 8 cm

and breadth = 7 cm

So, $D=\sqrt{8^2+7^2}=\sqrt{64+49}\approx 10.63$

Thus, HF = DB = 10.63 cm

Therefore, Perimeter of cross section is DB + BF +FH + DH

= 10.63 + 6 + 6 + 10.63 = 33.26

Thus, the perimeter of the cross section is 33.3 cm

7 0

3 years ago

Which of the following is the equation of a line in slope-intercept form for a line with slope = 1/4 and y-intercept at (0, -1)?

NARA [144]

The answer is is D y=1/4x-1

6 0

4 years ago

Question 28: Please help, which pairs of angles could she have used?

TiliK225 [7]

The answer is A because opposite angles are the same. Therefore, 1 and 2 are congruent because their angle sizes are exactly the same.

6 0

4 years ago