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2 years ago

7

Johnny had $8.25 in quarters. He went to the laundromat and spent all of his quarters doing laundry. Which equation describes ho

w many quarters Johnny had, where n is the number of quarters Johnny had?

2 answers:

ss7ja [257]2 years ago

7 0

8.25 / 25 = n

The "/" is division.

Nina [5.8K]2 years ago

7 0

Answer:

n+8.25/.25

or

n=825/25

Step-by-step explanation:

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in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your nume

Andrew [12]

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The $m\angle CAB$ and $m\angle CAD$ .

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

$m(arcADC)=m(arcAD)+m(arcDC)$

$228^\circ=180^\circ+m(arcDC)$

$228^\circ-180^\circ+=m(arcDC)$

$48^\circ+=m(arcDC)$

The measure inscribed angle is half of the corresponding subtended arc.

$m\angle CAD=\dfrac{1}{2}\times m(arcDC)$

$m\angle CAD=\dfrac{1}{2}\times 48^\circ$

$m\angle CAD=24^\circ$

AB is the tangent. So, $m\angle BAD=90^\circ$ because radius is perpendicular on the tangent and the point of tangency.

$m\angle BAD=m\angle CAB+m\angle CAD$

$90^\circ=m\angle CAB+24^\circ$

$90^\circ -24^\circ=m\angle CAB$

$66^\circ=m\angle CAB$

Therefore, $m\angle CAB=66^\circ$ and $m\angle CAD=24^\circ$ .

4 0

2 years ago

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the a

Doss [256]

Using the z-distribution, it is found that she should take a sample of 46 students.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

$6\sigma = 800 - 200$

$6\sigma = 600$

$\sigma = 100$

The sample size is n when M = 29, hence:

$M = z\frac{\sigma}{\sqrt{n}}$

$29 = 1.96\frac{100}{\sqrt{n}}$

$29\sqrt{n} = 196$

$\sqrt{n} = \frac{196}{29}$

$(\sqrt{n})^2 = \left(\frac{196}{29}\right)^2$

n = 45.67.

Rounding up, a sample of 46 students should be taken.

More can be learned about the z-distribution at brainly.com/question/25890103

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4 0

1 year ago

If p=-2, find the value of 4p +7

MissTica

4(-2)+7=-1

4(-2)=-8

-8+7=-1

8 0

2 years ago

A triangular prism has a base area of 7.3 cm and a volume of 71.54 cm. The height of the prism must be...

Archy [21]

Answer:

C.9.8 cm

Step-by-step explanation:

divide 7.3 divided by 71.54

5 0

3 years ago

Richard’s store sells pineapples and grapefruits. Pineapples originally cost $5.15 apiece, and grapefruits originally cost $2.25

sveta [45]

Answer:

c. The price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.

Step-by-step explanation:

The original price of Pineapples=$5.15

New price of Pineapples=$3.88

<u>Find change in price of Pineapples</u>

Change in price=original price- new price

$=5.15-3.88=1.27$

The price of Pineapple was reduced by $1.27

<u>% reduction in price</u>

(reduction value/original value) × 100

$=\frac{1.27}{5.15} *100=24.66$

=24.66%

The original price of grape fruits=$2.25

New price of grape fruits=$1.56

<u>Change in price of grape fruit</u>

Change in price= original price -new price

$=2.25-1.56=0.69$

<u>% reduction in price of grape fruits</u>

(reduction value/original value)×100

$=\frac{0.69}{2.25} *100=30.67$

=30.67%

<u>Answers</u>

The fruit that has its price reduced by a greater percentage is grape fruit

How many percentage points greater = 30.67%-24.66% = 6.01 points

5 0

3 years ago

Read 2 more answers