What is the value of the following(Please show work)

Mathematics

1 answer:

Art [367]3 years ago

3 0

Answer:

1) 3( 2) - 1 = 6 - 1 = 5

2) 2(-1) - 3+4(-1) = -2 -7 = -9

3) 4^2-6(4)=9 = 16-24=9, = -8=9

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Rachel has developed a plan to start paying off her credit card debt, and has stopped making purchases with her credit card. She

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Present value of annuity PV = P(1 - (1 + r/t)^-nt) / (r/t)
where: p is the monthly payment, r is the APR = 14.12% = 0.1412, t is the number of payments in one year = 12, n is the number of years = 2.
1,120.87 = P(1 - (1 + 0.1412/12)^(-2 x 12)) / (0.1412 / 12)
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P = 0.1412(1120.87) / 12(1 - (1 + 0.1412/12)^-24) = $53.88

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The recangle is 23 ft long and 14ft wide if the Gardner wants to build a fence around the garden, how many feet of fence is requ

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A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

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Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 14$