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mote1985 [20]
3 years ago
14

What is the next term for the given arithmetic sequence? -3, -2.25, -1.5, -0.75, ...

Mathematics
2 answers:
Rasek [7]3 years ago
5 0
0.  Each time you're adding 0.75, so adding -0.75+0.75=0!
Korolek [52]3 years ago
3 0
In this sequence a=-3
d=-2.25-(-3)
d=-2.25+3
d=0.75
So next term is 5th term so it is a+4d
=-3+4(0.75)
=-3+3
=0
So next term is 0
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suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio
djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question:

\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

\mu = \mu_X - \mu_Y = 45 - 35 = 0

\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

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

Z = \frac{0 - 10}{5}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

4 0
3 years ago
The length of a rectangle is 45 inches and the width is 8 inches. A similar rectangle has a width is 24 inches what is the perim
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The answer would be 135
7 0
3 years ago
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3x-8 i nedd help finding what x represent
seropon [69]

8/3

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7 0
3 years ago
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frutty [35]
Divide both sides by 5

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x = 13
3 0
3 years ago
A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?
Brut [27]

Answer:

Area of the Net is incorrect

Step-by-step explanation:

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