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Lyrx [107]
3 years ago
10

The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an equation that could be used to find how

many ounces a letter that costs $0.93 weighs. (Let x represent the number of ounces.) A) 0.59 x = 0.93 B) 0.42 x + 0.17 = 0.93 C) 0.59 = 0.93 x D) 0.42 + 0.17 x = 0.93
Mathematics
1 answer:
tresset_1 [31]3 years ago
3 0

Answer:

D) 0.42 + 0.17 x = 0.93

Step-by-step explanation:

0.93 - 0.42 = 0.51

0.51 / 0.17 = 3

3 ounces and the answer is D

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For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure.
Finger [1]

Answer:

Lower limit: 113.28

Upper limit: 126.72

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 = 120, \sigma = 8

Middle 60%

So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8

Lower limit

X when Z has a pvalue of 0.20. So X when Z = -0.84

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

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X - 120 = -0.84*8

X = 113.28

Upper limit

X when Z has a pvalue of 0.80. So X when Z = 0.84

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X = 126.72

4 0
3 years ago
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2 years ago
What is the volume of this sphere?
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Work Shown:

V = (4/3)*\pi*r^3\\\\V \approx (4/3)*3.14*18^3\\\\V \approx 24416.64\\\\

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2 years ago
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