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kondaur [170]
2 years ago
12

At a garage sale, the most expensive item was marked $24.00 more than the cheapest item. The sum of the two items was $27.50. Fi

nd the cost of the least expensive item.
Mathematics
1 answer:
Andrews [41]2 years ago
8 0

Answer:

$3.50

Step-by-step explanation:

27,50-24.00=3.50

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If triangle ocd ≅ triangle JAL, then which of the following statements are true?
Roman55 [17]

Answer:

I III and IV

Step-by-step explanation:

8 0
2 years ago
Factor. w(squared)+18w+81
solong [7]

{w}^{2}  + 18w + 81 \\ (w + 9)(w + 9) \\ or \\ {(w + 9)}^{2}
7 0
3 years ago
The mean per capita income is 16,127 dollars per annum with a variance of 682,276. What is the probability that the sample mean
MakcuM [25]

Answer:

0.60% probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

Step-by-step explanation:

To solve this question, we have 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, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

The standard deviation is the square root of the variance. So

\mu = 16127, \sigma = \sqrt{682276} = 826, n = 476, s = \frac{826}{\sqrt{476}} = 37.86

What is the probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

Either it differs by 104 or less dollars, or it differs by more than 104 dollars. The sum of the probabilities of these events is 100. I am going to find the probability that it differs by 104 or less dollars first.

Probability that it differs by 104 or less dollars first.

pvalue of Z when X = 16127 + 104 = 16231 subtracted by the pvalue of Z when X = 16127 - 104 = 16023. So

X = 16231

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

By the Central Limit Theorem

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

Z = \frac{16231 - 16127}{37.86}

Z = 2.75

Z = 2.75 has a pvalue of 0.9970

X = 16023

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

Z = \frac{16023 - 16127}{37.86}

Z = -2.75

Z = -2.75 has a pvalue of 0.0030

0.9970 - 0.0030 = 0.9940

99.40% probability that it differs by 104 or less.

What is the probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

p + 99.40 = 100

p = 0.60

0.60% probability that the sample mean would differ from the true mean by more than 104 dollars if a sample of 476 persons is randomly selected

7 0
3 years ago
Anna baked 3 batches of cookies with c cookies in each batch. She then ate 8 cookies! How many cookies does Anna have left? Writ
borishaifa [10]

Answer:

3c-8

Step-by-step explanation:

Let

c-------> the number of cookies in each batch

we know that

To find the total number of cookies, multiply the number of batches by the  number of cookies in each batch

so

3c ------> equation that represent the total number of cookies

If Anna ate 8 cookies

then

The expression to know how many cookies Anna has left is equal to

3c-8

8 0
3 years ago
2(z – 10) = -4<br> (ignore this)
sukhopar [10]
2(z-10)=-4
2z-20=-4
2z=16
z=8
3 0
3 years ago
Read 2 more answers
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