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svp [43]
3 years ago
10

Correctly name the following angle.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer: ∠EDC or ∠CDE

Step-by-step explanation:

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"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean
Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

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

By the Central Limit Theorem

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

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0
3 years ago
Find the probability of picking a purple marble from a jar with 14 green and 14 purple<br> marbles.
iris [78.8K]

Step-by-step explanation:

n(s)=28

n(p)=14

p(p)= n(p)/n(s)

= 14/28

=1/7

4 0
3 years ago
.<br> Name the property the equation illustrates.<br><br> 7 + (4 + 4) = (7 + 4) + 4
vazorg [7]
Reflective property
6 0
3 years ago
In this triangle what is the measure of the exterior angle 52?
OlgaM077 [116]
Im not sure but since the angle you have is 52 and this is an isosceles triangle so you will do 180-52 over 2 to get the other 2 angles which will be 64 each and you want the exterior angle which is 180 aswell so you will do 180-64 which will be 116
6 0
2 years ago
Read 2 more answers
Solve the inequality 6x - 8 &gt; 4x + 26
zvonat [6]
6x > 4x+26+8
2x > 34<span>

so,
x > 17 </span>
4 0
3 years ago
Read 2 more answers
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