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alex41 [277]
3 years ago
11

37​% of a certain​ country's voters think that it is too easy to vote in their country. you randomly select 12 likely voters. fi

nd the probability that the number of likely voters who think that it is too easy to vote is​ (a) exactly​ three, (b) at least​ four, (c) less than eight.
Mathematics
1 answer:
Elenna [48]3 years ago
4 0
Multiply 12 by 37%.
12 × 0.37 = 4.44

B) at least 4

It could also be c... 4.44 is less than 8. But B is the closest answer to 4.44.
You might be interested in
twice the sum of a number and 6 is equal to 3 times the difference of the number and 8. Find the number
Serhud [2]

In order to solve this problem, we must solve an equation.

First, we need to define our unknown.

Let's call our number "n".


So, the sum of the number and 6 is the same as saying n+6

Then we need to multiply it by 2 (since it's twice the sum)

2(n+6)

This whole thing is equal to three times of the difference of the number and 8

n-8 is equal to the difference between the number and 8, then we need to multiply it by three.

3(n-8)

now, we set both sides equal and solve

2(n+6)=3(n-8)\\2n+12=3(n-8)\\2n+12=3n-24\\12=n-24\\36=n

The number is 36

5 0
3 years ago
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
Berry Farm produces organic tomatoes and strawberries. In June 2021, it transported 130 boxes of strawberries with a price of $1
disa [49]

Answer:

the  revenue recognized is $1,275

Step-by-step explanation:

The computation of the revenue recognized is shown below:

= Number of boxes of strawberries sold to customers × price per box

= 85 boxes × $15

= $1,275

Hence, the  revenue recognized is $1,275

We simply applied the above formula and the same should be considered

Also

= 130 - 85

= 45 boxes would not be recognized as sale is not made

6 0
3 years ago
Consider the exponential function
evablogger [386]

<u>Given</u>:

The given function f(x)=19,000 \cdot 0.96 ^x which models the value of Mark’s car, where x represents the number of years since he purchased the car.

We need to determine the approximate value of Mark's car after 7 years.

<u>Value of the car:</u>

The value of the car after 7 years can be determined by substituting x = 7 in the function f(x)=19,000 \cdot 0.96 ^x, we get;

f(7)=19,000 \cdot 0.96 ^7

f(7)=19,000 \cdot 0.7514474781

f(7)=14277.502

Rounding off to the nearest dollar, we get;

f(7)=14278

Thus, the approximate value of Mark's car after 7 years is $14278.

Hence, Option a is the correct answer.

7 0
3 years ago
Read 2 more answers
Cost of sled : $99.50 markup: 95%
WARRIOR [948]
The answer is $945.25
8 0
3 years ago
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