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Paraphin [41]
3 years ago
13

An electronics store receives a shipment of 35 graphing calculators including 7 that are defective. eight calculators are chosen

at random to be sent to a local high school. 8. how many total selections can be made?
Mathematics
1 answer:
spin [16.1K]3 years ago
8 0
There are 23535820 combinations that can be made of 35 calculators taken 8 at a time.

_{35}C_8=\frac{35!}{8!27!}=23535820
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Write the following 12.5% as a fraction
Masteriza [31]
1/8 is a fraction to represent 12.5%

8 0
3 years ago
Read 2 more answers
Suppose the horses in a large stable have a mean weight of 975lbs, and a standard deviation of 52lbs. What is the probability th
Lubov Fominskaja [6]

Answer:

0.8926 = 89.26% probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 31 horses are sampled at random from the stable

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 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 = 975, \sigma = 52, n = 31, s = \frac{52}{\sqrt{31}} = 9.34

What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 31 horses are sampled at random from the stable?

pvalue of Z when X = 975 + 15 = 990 subtracted by the pvalue of Z when X = 975 - 15 = 960. So

X = 990

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

By the Central Limit Theorem

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

Z = \frac{990 - 975}{9.34}

Z = 1.61

Z = 1.61 has a pvalue of 0.9463

X = 960

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

Z = \frac{960 - 975}{9.34}

Z = -1.61

Z = -1.61 has a pvalue of 0.0537

0.9463 - 0.0537 = 0.8926

0.8926 = 89.26% probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 31 horses are sampled at random from the stable

7 0
3 years ago
Find the ordered pairs for the x- and y-intercepts of the equation 3x - 2y =18
Len [333]
X-int:let y=0
3x-2(0)=18
3x=18
divide both sides by 3
therefore x=6
y-int:let x=0
3(0)-2y=18
-2y=18
we divide both side by -2
therefore y=-9
5 0
3 years ago
You spin the spinner and flip a coin. Find the probability of the compound event.
ICE Princess25 [194]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
Before the season starts, the performing arts center offers tickets at 30% off the listed price. The listed ticket price for the
enyata [817]

To the percentage of something do $45 times 0.3

0.3 represents the percent of discount

When you do that you should get $13.5

$13.5 just represents the amount you are going to take away from $45, so subtract 13.5 from 45

Answer:

D. $31.5


6 0
3 years ago
Read 2 more answers
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