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1 year ago

AI

Mathematics

1 answer:

Iteru [2.4K]1 year ago

8 0

In order to find the equivalent expression, let's use the following property:

$a-(-b)=a+b$

In other words, when subtracting a negative number, we can just add the corresponding positive number, that is, switch the two negative signs for a positive sign.

So we have that:

$\begin{gathered} 18\frac{1}{5}-(-22\frac{2}{5})-(-40\frac{1}{5}) \\ =18\frac{1}{5}+22\frac{2}{5}+40\frac{1}{5} \end{gathered}$

Therefore the correct option is D.

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Kyle received the following course grades for 10 (three-credit) courses during his freshman year:

timofeeve [1]

Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

$Average=\frac{\sum x}{n}$

$Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}$

$Average=2.5$

Therefore the average grade point is 2.5.

(b)

$\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}$

The relative frequency table is show below:

x f Relative frequency

4 3 $\frac{3}{10}=0.3$

3 3 $\frac{3}{10}=0.3$

1 4 $\frac{4}{10}=0.4$

(c)

Mean of the relative frequency distribution is

$Average=\frac{0.3+0.3+0.4}{3}$

$Average=0.3333$

Therefore the mean of the relative frequency distribution is 0.3333.

4 0

3 years ago

Which equation shows y=34x−52y=34x−52 in standard form?

ladessa [460]

It would be A, most definitely.

5 0

3 years ago

I am having trouble with converges and diverges<br>

inna [77]

Answer:

d. converges, -25

Step-by-step explanation:

An infinite geometric series converges if the absolute value of the common ratio is less than 1.

Here, the common ratio is 4/5:

| 4/5 | = 4/5 < 1

So the series converges. The sum of an infinite geometric series is:

S = a₁ / (1 − r)

where a₁ is the first term and r is the common ratio.

Here, a₁ = -5 and r = 4/5:

S = -5 / (1 − 4/5)

S = -25

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3 years ago

Value of the digit in the hundredths place .44

Firlakuza [10]

0.04 is the answer to this question

3 0

3 years ago

Solve for M.<br><br> 2G/k=5/M

BartSMP [9]

5k/2G is the answer to the problem.

6 0

3 years ago