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pickupchik [31]
3 years ago
7

Dante has 27 coins that are all dimes and quarters. The value of the coins is $4.35. How many dimes and how many quarters does D

ante have?
Mathematics
2 answers:
vivado [14]3 years ago
8 0
He has 11 quarters and 16 dimes
25*11 is 275 + 170 is 435.
Free_Kalibri [48]3 years ago
4 0

Answer:

Step-by-step explanation:

d + q = 27......d = 27 - q

0.10d + 0.25q = 4.35

0.10(27 - q) + 0.25q = 4.35

2.7 - 0.10q + 0.25q = 4.35

0.15q = 4.35 - 2.7

0.15q = 1.65

q = 1.65 / 0.15

q = 11 <=== 11 quarters

d + q = 27

d + 11 = 27

d = 27 - 11

d = 16 <===== 16 dimes

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A random sample is taken and the sample size is 25. the sample is normally distributed, the sample mean is 80, and the standard
torisob [31]

The 90% confidence interval for the population mean is 78.1905<x<81.8095

<h3>Confidence interval</h3>

The formula for calculating the confidence interval is expressed as:

CI = x ± z*s/√n

Given the following parameters

mean "x" = 80

z = 1.645

s = 5.5

n = 25

Substitute

CI = 80 ± 1.645*5.5/√25

CI = 80 ± 1.8095

CI = {78.1905, 81.8095}

Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095

Learn more on confidence interval here: brainly.com/question/2141785

#SPJ1

7 0
2 years ago
In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts Co
sukhopar [10]

Answer:

a. proportions have not changed significantly

Step-by-step explanation:

Given

Business College= 35 %

Arts College= 35 %

Education College = 30%

Calculated

Business College = 90/300= 9/30= 0.3 or 30%

Arts College= 120/300= 12/30= 2/5= 0.4 or 40%

Education College= 90/300= 9/30 = 0.3 or 30%

First we find the mean and variance of the three colleges using the formulas :

Mean = np

Standard Deviation= s= \sqrt{npq\\}

Business College

Mean = np =300*0.3= 90

Standard Deviation= s= \sqrt{npq\\}=\sqrt{0.3*0.7*300}= 7.94

Arts College

Mean = np =300*0.4= 120

Standard Deviation= s= \sqrt{npq\\}=\sqrt{0.4*0.6*300}=  8.49

Education College

Mean = np =300*0.3= 90

Standard Deviation= s= \sqrt{npq\\}=\sqrt{0.3*0.7*300}= 7.94

Now calculating the previous means with the same number of students

Business College

Mean = np =300*0.35= 105

Arts College

Mean = np =300*0.35= 105

Education College:

Mean = np =300*0.3= 90

Now formulate the null and alternative hypothesis

Business College

90≤ Mean≥105

Arts College

105 ≤ Mean≥ 120

Education College

U0 : mean= 90     U1: mean ≠ 90

From these we conclude that the  proportions have not changed significantly meaning that it falls outside the critical region.

8 0
3 years ago
A house purchased for $220000 has it's value grow at a constant rate of 4%. Determine the approximate
spin [16.1K]

Answer:

the answer is 264000.....

5 0
3 years ago
Read 2 more answers
Donald Duck's car gets 30 miles per gallon. How many miles can he drive on 9.2 gallons of gas? At $ 2.19 a gallon, how much woul
Vinil7 [7]

Answer:

276 miles, $ 20.148

Step-by-step explanation:

Given:

Donald Duck's car travels in 1 gallon gas = 30 miles

Cost of 1 gallon = $ 2.19

Question asked:

Distance travel in 9.2 gallons = ?

Cost of 9.2 gallons of gas = ?

Solution:

By applying unitary method:

His car travels in 1 gallon = 30 miles

His car will travel in 9.2 gallons = 9.2\times30

                                                    =  276 miles

Cost of 1 gallon = $ 2.19

Cost of 9.2 gallons = 9.2\times2.19

                                = $ 20.148

5 0
3 years ago
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
vlada-n [284]

Answer:  D) 154 degrees clockwise about point A

========================================================

Explanation:

We have n = 7 sides here, so this is a heptagon.

Assuming this is a regular heptagon, then we can say that 360/n = 360/7 = 51.4285714285714 is the angle in which we can rotate the figure to have it map onto itself.

What does that mean? It means that if we were to apply this rotation, then the "before" and "after" (aka preimage and image) will be identical.

The angle value 51.4285714285714 rounds to 51, and unfortunately none of the answer choices come closer to this.

But we can scale things up. Instead of doing 1 rotation, we can do 3 rotations of 51.4285714285714 degrees each to get 3*51.4285714285714 = 154.285714285714

The value then rounds to 154 degrees. This can happen clockwise or counterclockwise.

3 0
2 years ago
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