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MAXImum [283]
4 years ago
9

the ratio of boys to girls in mr bakers class is 2 to 3 if there are 30 total students in the class how many more girls are in t

he class than boys.
Mathematics
1 answer:
Archy [21]4 years ago
5 0
I believe there would be 6 more girls than boys.
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ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y.
slava [35]

Answer:

C

Step-by-step explanation:

Parallel and opposite sides of a parallelogram are equal. Hence, we can say:

x + 30 = 2x - 10

and

2y-10 = y +10

Solving first one, we get:

x + 30 = 2x - 10

30+10 = x

x = 40

Also

2y - 10 = y + 10

y = 10 + 10

y = 20

Now, z = x - y, so

z = 40 - 20 = 20

Answer C is right.

3 0
3 years ago
Show all work to factor x^4 − 5x^2 + 4 completely.
Mademuasel [1]

Answer:

(x+1) (x-1) (x+2) (x-2)

Step-by-step explanation:

<u>Let u = x^2</u>

= u^2 - 5u + 4

<u>(Factor u^2 - 5u + 4)</u>

= (u-1) (u-4)

<u>Substitute back u = x^2</u>

= (x^2 -1 ) (x^2 - 4)

<u>Factor x^2 - 1 and x^2 -4</u>

= (x+1) (x-1) (x+2) (x-2)

Hope this helped... :)

If you need to see the work for yourself, copy/paste this link

https://www.symbolab.com/solver/factor-calculator/factor%20x%5E%7B4%7D%20%E2%88%92%205x%5E%7B2%7D%20%2B%204%20

3 0
3 years ago
Read 2 more answers
Which probability distribution table corresponds with this frequency distribution table
nlexa [21]

Answer:

A.

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

Step-by-step explanation:

First find the sum

\sum f=4+6+1+4+5=20.

Now, find the probabilities:

  • Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;
  • Pr(x=3)=\dfrac{1}{20}=0.05;
  • Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.

Hence, the frequency distribution table is

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

4 0
3 years ago
An oblique hexagonal prism has a base area of 42 square cm. The prism is 4 cm tall and has an edge length of 5 cm. An oblique he
Anna [14]

Answer:

78

Step-by-step explanation:

8 0
3 years ago
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On average, Debbie can finish 4 algebra problem in 30 minutes. If Debbie works at this rate, how many problems will she solve in
alexandr402 [8]
She will solve 20 problems in 2.5 hours, 4*5 thirty minute sessions=20.
5 0
3 years ago
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