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Ket [755]
3 years ago
13

The diagram shows a dilation of segment AB. Which

Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer: "The dilation is an enlargement". "point O is the center of dilation" and "The scale factor is 3"

this is correct i took the quiz

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The mean cost of a five pound bag of shrimp is 50 dollars with a variance of 64. If a sample of 43 bags of shrimp is randomly se
anyanavicka [17]

Answer:

0.4122 = 41.22% probability that the sample mean would differ from the true mean by greater than 1 dollar

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(which is the square root of the variance) \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 = 50, \sigma = \sqrt{64} = 8, n = 43, s = \frac{8}{\sqrt{43}} = 1.22

What is the probability that the sample mean would differ from the true mean by greater than 1 dollar?

Either it differs by 1 dollar or less, or it differs by more than one dollar. The sum of the probabilities of these events is decimal 1.

Probability it differs by 1 dollar or less:

pvalue of Z when X = 50+1 = 51 subtracted by the pvalue of Z when X = 50 - 1 = 49.

X = 51

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

By the Central Limit Theorem

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

Z = \frac{51-50}{1.22}

Z = 0.82

Z = 0.82 has a pvalue of 0.7939

X = 49

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

Z = \frac{49-50}{1.22}

Z = -0.82

Z = -0.82 has a pvalue of 0.2061

0.7939 - 0.2061 = 0.5878

Probability it differs by more than 1 dollar:

p + 0.5878 = 1

p = 0.4122

0.4122 = 41.22% probability that the sample mean would differ from the true mean by greater than 1 dollar

4 0
3 years ago
I really need help !!!
Savatey [412]
Let's do this using the process of elimination. Since you didn't include choice D, we can only use A, B, and C.
     C: If we're finding the width of the patio, how is the thickness of the tiles going to help? C is wrong.
     A: We already know the area (72), so how does knowing the perimeter help us? All we know using that information is that 2 pairs of numbers give us the perimeter & also multiply to get 72. But not <em>which</em> 2. A is wrong.
     B: Pay more attention to the last part of B... "the length". Well, if we have the area (72), and we have the length, then we can do area/length-width to find the width. B is correct!
<em><u /><u />
</em><em><u /><u>Don't forget to rate this answer the </u><u>Brainliest</u><u>!</u></em>

4 0
3 years ago
Read 2 more answers
the combined weight of an older sister and her baby brother is 74 pounds. The weight of the older sister is 2 pounds less than t
Naddik [55]
74-2=72 and 72 times 3=216 that willl be your answer
7 0
3 years ago
What is total surface area of the rectangular prism shown 10m 10m 8m​
Dahasolnce [82]

Answer:

equals 800

Step-by-step explanation:

10 x 10 x 8

you would multiply

6 0
3 years ago
Read 2 more answers
Which of the following points are solutions to the system of inequalities shown below?
vlada-n [284]
The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4)  option e. (4, 4)  and option f. <span>(2, -1) 
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
y </span><span><  3x + 5
-5 </span><span><  3(-3) + 5
-5 </span><span><  -9 + 5
-5 </span><span><  -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.</span>
7 0
3 years ago
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