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Vitek1552 [10]
3 years ago
15

stanley has $1.60 in pennies, dimes, and quarters. he has 5 times as many pennies as he has quarters. he has 25 coins total. how

many of each coin does he have
Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

3 quarters

15 pennies

7 dimes

Step-by-step explanation:

5 times as many pennies as quarters would mean quarters x 5 equals pennies

3 quarters

15 pennies

7 dimes

You have to keep coming up with possible solutions to get the right one.

There are 5 times as many pennies as quarters, it adds up to $1.60, and it is 25 coins. This is the answer.

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Answer:

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Step-by-step explanation:

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If there are 60 sides, what is the difference between the perimeter and π?
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I will mark brainlist please help

Story : A Dog’s Tale by Mark Twain

4. Read this sentence from the selection.

“Whenever she heard a large word she said it over to herself many times, and so was able to keep it until there was a dogmatic gathering in the neighborhood.”

In this sentence the word dogmatic is used as —

• an insightful simile
• a descriptive metaphor
• a humorous play on words
• an illuminating allusion


5. In the last paragraph the narrator says his mother would “fetch out a long word.” The connotations of the word fetch remind the reader that the narrator’s mother —

• is well educated
• is a dog
• knows lots of big words
• likes to show off


8. What is ironic about the author’s mother showing off with her knowledge of the word unintellectual?

• Her child knew she didn’t understand the word correctly.

• The strangers all already knew the meaning of the word.

• As any intellectual would know, the word should be “nonintellectual.”

• She did not know any synonyms for the word.


9. Which type of person is most like the author’s mother?

• A high-performing student with an excellent memory for words

• A very verbal person who always has a quick answer that sounds good

• A dishonest person who tells lies on a regular basis

• A person who likes dogs a lot and works at a veterinary clinic
7 0
2 years ago
Read 2 more answers
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with
Alexxandr [17]

Answer:

Step-by-step explanation:

Hello!

The SAT math scores have a normal distribution with mean μ= 540 and standard deviation σ= 119

Eleonor scored 680 on the math part.

X: score obtained in the SAT math test

*-*

The ACT Assessment math test has a normal distribution with mean μ= 18.2 and standard deviation σ= 3.6

Gerald took the test and scored 27.

X: score obtained in the ACT math test

a.

To standardize the values you have to use the following formula:

Z= (X-μ)/σ ~N(0;1)

For each score, you have to subtract its population mean and divide it by the standard deviation.

Eleonor score:

Z= (680-540)/119= 1.176 ≅ 1.18

Gerald Score

Z= (27-18.2)/3.6= 2.44

b.

Since both variables are very different you cannot compare the "raw" scores to know which one is higher but once both of them were standardized, you can make a valid comparison.

In this case, Eleonor's score is 1.18σ away from the mean, while Gerald's score is 2.44σ away, i.e. Gerald's score is further away from the mean score than Eleonor's so his score is higher.

c.

In this item, you are asked to find the value that divides the top 10% of the population from the bottom 90%.

Symbolically you can express it as:

P(Z>c)=0.1

or

P(Z≤c)= 0.9

The tables of standard normal distribution show accumulative probabilities of P(Z<Z₁₋α), sois best to use the second expression.

In the body of the distribution table, you have to look for a probability of 0.90 and then reach the corresponding Z value looking at the table margins. The first column shows the integer and first decimal digit, the first row shows the second decimal digit. So the corresponding value of Z is 1.28

Now you have to reverse the standardization to know the corresponding scores for each test.

SAT test score:

Z= (c-μ)/σ

Z*σ = c-μ

c = (Z*σ ) + μ

c= (1.28*119)+540

c= 692.32

The student should score 692.32 in his SAT math test to be in the top 10% of the population.

ACT test score

Z= (c-μ)/σ

Z*σ = c-μ

c = (Z*σ ) + μ

c= (1.28*3.6)+18.2

c= 22.808 ≅ 22.81

The student should score 22.81 in his ACT math test to be in the top 10% of the population.

d.

In this item, their vas a sample of students that took the ACT taken and you need to calculate the probability of the sample mean being greater than 25.

If you were to take a 100 random samples of ACT scores of 100 students and calculate the mean of all of them, you will get that the sample mean is a random variable with the same kind of distribution as the original variable but it's variance will be influenced by the sample size. In this case, the original variable is:

X: score obtained in the ACT math test

This variable has a normal distribution X~N(μ;δ²), then it's the sample mean will also have a normal distribution with the following parameters X[bar]~N(μ;δ²/n)

Remember when you standardize a value of the variable of interest you subtract its "mean" and divide it by its "standard deviation" in this case the mean is μ and the standard deviation will be √(δ²/n) ⇒ δ/√n and the formula of the standard normal is:

Z= (X[bar]-μ)/(δ/√n)~N(0;1)

with n=100

μ= 18.2

δ= 3.6

P(X[bar]>25)= 1 - P(X[bar]≤25)

1 - P(Z≤(25-18.2)/(6.3/√100))= 1 - P(Z≤10.79)= 1 - 1 = 0

The probability of the mean ACT score for a random sample of 100 students being more than 25 is zero.

I hope it helps!

4 0
3 years ago
Evaluate BC for A = 5, B = -4, and C = 2
sweet-ann [11.9K]
BC means B times C
B=-4
C=2
B times C=-4 times 2=-8
7 0
3 years ago
Read 2 more answers
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