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Luda [366]
3 years ago
12

Lucy purchased a prepaid phone card for $30. Long distance calls cost 21 cents a minute using this card. Lucy used her card only

once to make a long distance call. If the remaining credit on her card is $27.27, how many minutes did her call last?
Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer:

129.8 mins

Step-by-step explanation:

27.27/21 = 129.8

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A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5
lara [203]

Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 0.499, \sigma = 0.002

Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.

So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.

Larger than 0.504

1 subtracted by the pvalue of Z when X = 0.504.

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

Z = \frac{0.504 - 0.494}{0.002}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938= 0.0062

Smaller than 0.496

pvalue of Z when X = -1.5

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

Z = \frac{0.496 - 0.494}{0.002}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 + 0.0062 = 0.073

7.3% of the bearings produced will not be acceptable

4 0
3 years ago
Seven more than twice his age is 51 in algaebric expression
kozerog [31]
7 + 2x = 51

hope this helps
8 0
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A row of seats in stadium has 10 seats per section and 10 section per row. How many seats are there in 6 row ?
Keith_Richards [23]

Answer:

26 seats

Step-by-step explanation:

10+10=20 +6 =26

4 0
3 years ago
The following drawing contains two ______ angles.
sdas [7]
Two right angles? that's what I would think
6 0
3 years ago
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Find the x- and y-intercepts of the equation.<br> 3x − 3y = 12
Romashka [77]
X=-4-y there you go enjoy

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