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3 years ago

Apply the distributive property to factor out the greatest common factor of all three terms, 10a-25+5b=

Mathematics

1 answer:

Kipish [7]3 years ago

3 0

Answer:

5(2a - 5 + b)

Step-by-step explanation:

I factored out a 5 from all of the terms.

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The final exam grade distribution for all students in the introductory statistics class at a local community college is displaye

Alex73 [517]

The mean of the discrete distribution that models this situation is of 2.98.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

Considering the table, the probability distribution is given by:

P(X = 4) = 0.4.

P(X = 3) = 0.32.

P(X = 2) = 0.17.

P(X = 1) = 0.08.

P(X = 0) = 0.03.

Hence the mean is given by:

E(X) = 4 x 0.4 + 3 x 0.32 + 2 x 0.17 + 1 x 0.08 + 0 x 0.03 = 2.98.

More can be learned about the mean of a discrete distribution at brainly.com/question/27899440

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5 0

2 years ago

When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation

Radda [10]

<h3><u>Question:</u></h3>

When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?

xpmy=8

xy/pm=8

xpm/y=0.5

x/pmy=0.5

<h3><u>Answer:</u></h3>

The equation models the situation is $\frac{x y}{p m}=8$

<h3><u>Solution:</u></h3>

Given that

x is 2, y is 4, p is 0.5, and m is 2

x varies directly with the product of p and m

x varies inversely with y

$\text {Product of } p \text { and } m=p \times m=p m$

x varies directly with the product of p and m

$=>x \propto p m$ ---- eqn 1

As x varies inversely with y,

$=>x \propto \frac{1}{y}$ ----- eqn 2

From (1) and 2, we can say that

$x \propto \frac{p m}{y}$

$\Rightarrow x=k \frac{p m}{y}$

where k is constant of proportionality

$\Rightarrow \frac{x y}{p m}=k$ ---- eqn 3

On substituting given values of x = 2, y = 4, p = 0.5 and m= 2 in eqn (3) we get

$\frac{x y}{p m}=\frac{2 \times 4}{0.5 \times 2}=k$

$\begin{array}{l}{\frac{x y}{p m}=\frac{8}{1}=k} \\\\ {=>\frac{x y}{p m}=8}\end{array}$

Hence correct option is second that is $\frac{x y}{p m}=8$

8 0

3 years ago

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How to simplify a number??

storchak [24]

What kind of question is this mr chow is not happy

5 0

4 years ago

3m - (7m+12) =2 (m-3)

viktelen [127]

Remove parentheses
3m - 7m+12 = 2 m-3

collect like terms
3m-7m-12 = 2m-6

move terms
-4m - 12 = 2m-6

collect the like terms and calculate
-4m-2m = -6+12

divide both sides by -6
-6m=6

m= -1

7 0

4 years ago

6). The circle graph shows Allen's activities during 24 hours.

ivolga24 [154]

Answer:

G 0.48 hour

music 12% - tennis 10% = 2%

2% x 24 hrs = 0.48 h

8 0

3 years ago

Read 2 more answers