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3 years ago

4 of Jackson's pencils are broken. If 20% of his pencils are broken, how many pencils does he have total?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

3 0

Answer: 20

Step-by-step explanation:

Let the total number of pencils that Jackson has be represented by x.

Since 20% of his pencils are broken which equals 4. This can be written and represented in an equation as:

20% of x = 4

20/100 × x = 4

0.2x = 4

x = 4/0.2

x = 20

There are a total of 20 pencils

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5. Rounded to three decimal places, what is the value of r for this data set?

IrinaVladis [17]

The value of correlation coefficient (r) for the dataset is 0.981

<h3>What is correlation coefficient (r)?</h3>

The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.

The dataset is given as:

x: 8 15 3 7 2 14
y: 15 21 6 12 3 20

Using a graphing calculator, we have the following parameters:

<h3>X Values </h3>

∑x = 49
Mean = 8.167
∑(X - Mx)2 = SSx = 146.833

<h3>Y Values </h3>

∑y = 77
Mean = 12.833
∑(Y - My)2 = SSy = 266.833

<h3>X and Y Combined </h3>

N = 6
∑(X - Mx)(Y - My) = 194.167

The correlation coefficient (r) is then calculated as:

$r = \frac{\sum{((x - My)(Y - Mx)) }}{ \sqrt{((SSx)(SSy))}}$

This gives

$r = \frac{194.167 }{ \sqrt{((146.833)(266.833))}}\\$

$r = 0.9809$

Approximate

$r = 0.981$

Hence, the value of correlation coefficient (r) for the dataset is 0.981

Read more about correlation coefficient at:

brainly.com/question/4219149

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Madi has $8.80 in pennies and nickels.

shepuryov [24]

Let p = number of pennies.
Let n = number of nickels.

We are given that n= 2p and the total value is $8.80.

We know that a penny = $0.01 and that a nickel = $0.05.

So $0.01p + $0.05n = $8.80.

Substitute 2p for n:
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