The line VS is middle line of that trapezoid, so you know that it is

VS= (WR+UT)/2

so we will get that it is:

<span>40= (x^2+2 +2x^2+3)/2
x = 5

Therefore,

x^2 + 2
5^2 + 2
25 +2
27 <----- OPTION 2

Hope this answers the question.</span>

8 0

3 years ago

A copy machine makes 84 copies in 3 minutes and 30 seconds, how many copies does it make per minute.

matrenka [14]

Answer:

Step-by-step explanation:

3 minutes and 30 seconds = 3.5 minutes

84/3.5 = 24copies/minute

4 0

3 years ago

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Suppose we have an unfair coin that its head is twice as likely to occur as its tail. a)If the coin is flipped 3 times, what is

Alenkinab [10]

Answer: a) 0.2222, b) 0.3292, c) 0.1111

Step-by-step explanation:

Since we have given that

Let the probability of getting head be p.

Since, its head is twice as likely to occur as its tail.

$p+\dfrac{p}{2}=1\\\\\dfrac{3p}{2}=1\\\\p=\dfrac{2}{3}$

a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?

So, here, n = 3

$p=\dfrac{2}{3}$

$q=\dfrac{1}{3}$

Now,

$P(X=1)=^3C_1(\dfrac{2}{3})^1(\dfrac{1}{3})^2=0.2222$

b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?

2 tails means 3 heads.

So, it becomes,

$P(X=3)=^5C_3(\dfrac{2}{3})^3(\dfrac{1}{3})^2=0.3292$

c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?

$P(X\leq 1)=\sum _{x=0}^1^4C_x(\dfrac{2}{3}^x(\dfrac{1}{3})^{4-x}=0.1111$

Hence, a) 0.2222, b) 0.3292, c) 0.1111

8 0

3 years ago

11/12 - 3/4 in simplest form.

zlopas [31]

Answer: 1/6

Step-by-step explanation:

7 0

3 years ago

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