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skad [1K]
3 years ago
12

Sarah has only dimes and quarters in how many different ways could she make $1.45

Mathematics
2 answers:
nignag [31]3 years ago
8 0

Answer:

Ask

Step-by-step explanation:


Vladimir [108]3 years ago
4 0
6 quarters and 2 dimes
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A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is se
larisa [96]

Answer:

0.0026 = 0.26% probability that the manufacturing line will be shut down unnecessarily

Step-by-step explanation:

We need to understand the normal probability distribution and the central limit theorem to solve this question.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 0.75, \sigma = 0.04, n = 36, s = \frac{0.04}{\sqrt{36}} = 0.0067

What is the probability that the manufacturing line will be shut down unnecessarily?

Less than 0.73 or more than 0.77.

Less than 0.73

pvalue of Z when X = 0.73

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

By the Central Limit Theorem

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

Z = \frac{0.73 - 0.75}{0.0067}

Z = -3

Z = -3 has a pvalue of 0.0013

More than 0.77

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

Z = \frac{0.77 - 0.75}{0.0067}

Z = 3

Z = 3 has a pvalue of 0.9987

1 - 0.9987 = 0.0013

2*0.0013 = 0.0026

0.0026 = 0.26% probability that the manufacturing line will be shut down unnecessarily

3 0
3 years ago
A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty custo
Helga [31]
26/40=65% of customers
65% of 800 customers=520 who think the store is clean enough
4 0
1 year ago
14. Find mZCDB.<br> B<br> С<br> 18<br> 7<br> D<br> 47°<br> А A
Anna [14]

Answer:

n,

Step-by-step explanation:

n

8 0
3 years ago
Given that AD and BC bisect each other at E, prove that ⦟B ≅⦟D.
Aloiza [94]

Answer:

answer is 0.15 tell me if ot is right

7 0
3 years ago
The perimeter of the square kitchen floor measures 48 feet. What is the area of the kitchen floor
poizon [28]
48/4 = 12 for sides. Area is l x w so 12x12 = 144
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3 years ago
Read 2 more answers
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