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Rus_ich [418]
3 years ago
5

Sue wants to increase 160 by 4%

Mathematics
1 answer:
mina [271]3 years ago
5 0
Yes i was the day we had a great time in my life omg omg is a time for a fun time to go to the
You might be interested in
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
Please answer me as soon as possible
adell [148]

Answer:????

Step-by-step explanation:

8 0
2 years ago
What is the solution to 1< 25-4x<19?
koban [17]
Hope this helps

Hope you have a good day

4 0
3 years ago
A family goes out to eat. The meal costs $44. The sales tax rate is 9%. They leave a 20% tip. How much did they spend?
REY [17]

Answer:

$56.76

Step-by-step explanation:

$56.76 because 20% of 44 is 8.80 which is the tip and 9% of 44 is 3.96 which is the tax rate giving you an answer of $56.76. Hope this helps!

6 0
3 years ago
Kathy is baking cakes. Each cake requires 1/12 of a teaspoon of vanilla, and she has 9/12 of a teaspoon, how many cakes can she
kati45 [8]
She can bake 9 cakes
3 0
3 years ago
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