All categories

2 years ago

The dot plots below show the scores for a group of students for two rounds of a quiz:

Mathematics

1 answer:

Anarel [89]2 years ago

8 0

Answer:

first of all the answer should be A. the range of round 2 is greater than the round 1 range because first of all range is the subtraction of the maximinium and the lower number so 1 is for the round 1 range score and for the round 2 scores the range is 4.

5-4= 1 for round 1 range score

5-1=4 for round 2 range score.

B and c cannot be because the score for round 2 is lower and for round 1 the scores are more higher and option d also cannot be because there is overlap so option a is the correct answer and have a great day.

Step-by-step explanation: Hopefully that is the correct answer and please give me brainliest if you want.

You might be interested in

Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.

Andreas93 [3]

Answer:

all matched in the picture above

4 0

3 years ago

The amount of coffee that a filling machine puts into an 8 dash ounce 8-ounce jar is normally distributed with a mean of 8.2 oun

Inessa [10]

Answer:

73.3% probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

Step-by-step explanation:

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

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 question, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

That is, probability of the sample mean between 8.2-0.02 = 8.18 and 8.2 + 0.02 = 8.22, which is the pvalue of Z when X = 8.22 subtracted by the pvalue of Z when X = 8.18.

X = 8.22

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

By the Central Limit Theorem

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

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665.

X = 8.18

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

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335.

0.8665 - 0.1335 = 0.7330

73.3% probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

6 0

3 years ago

2% of what amount is $200? Show work!

rewona [7]

.02 of x = 200
.02x = 200
divide both sides by .02
x = 10000
200 is 2% of 10,000

Your answer: 10,000

Hope this helped! :)

4 0

4 years ago

5x + 2y = 6 3x - ay = 4 Which value of a makes given lines parallel to each other?

KengaRu [80]

4. i hope this helps

6 0

3 years ago