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kumpel [21]
2 years ago
5

Jill has a jar full of dimes and quarters. If she has a total of $27.20 and the number of quarters is less than twice the dimes,

how many of each coin are in the jar?
Mathematics
1 answer:
Levart [38]2 years ago
5 0

Answer: She has 76 dimes and 78 quarters.

Step-by-step explanation:

Given data:

Total = $27.20

Solution:

Q = d + 2

Each quarter is 25 cents, or 0.25 of a dollar = 0.25q

Each dime is 10 cents = 0.10d

0.25q+0.10d = $27.20

Where q = d-2

Substitute in this equation:

0.25(d+2)+0.10d = 27.20

0.25d + 0.5 + 0.10d = 27.20

0.35d = 26.7

Divide both sides by 0.35

d = 76

She has 76 dimes and 76 + 2 = 78 quarters.

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Why is a regression line referred to as the line of best fit?
aalyn [17]
<h2>Answer with explanation:</h2>

When there is a linear relationship is observed between the variables, we use  linear regression predict the relationship between them.

Also, we predict the values for dependent variable by modelling a linear model that best fits the data by drawing a line Y=a+bX, where X is the explanatory variable and Y is the dependent variable.

In other words: The line of best fit is a line through a scatter plot of data points that best describes the relationship between them.

That's why the  regression line referred to as the line of best fit.

4 0
3 years ago
A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled
rewona [7]

The probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

Learn more about sampling distributions at

brainly.com/question/15507495

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8 0
1 year ago
Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more t
NeTakaya

Answer:

Cesar's amount can be expressed by x + 12.12

Dalila's amount can be expressed as  x - 22.88

Step-by-step explanation:

If Carmen raised 12.12.less than Cesar, that means his amount is 12.12 more than hers so that is <u>x + 12.12</u> for <u>Cesar</u>.

If  Cesar raised 35 more than Dalila, her amount is Cesar's minus 35. Calculate: x+12.12 - 35. the difference is 22.88 less than x  so the amount for <u>Dalila is x- 22.88</u>

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3 years ago
What are the correct options
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The third one because each banner costs $16 and x is the number of banners, $32 is just a one time fee so there is no x.
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If f (x) = mx+c, f(4) = 11 and f (5)=13 find value of m and c​
inysia [295]

m=2 and c=3

see the attachment for the detailed solution

8 0
2 years ago
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