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Artemon [7]
2 years ago
12

The middle square has an area of 1 square unit. What is the area of the entire rectangle in square units? Explain your reasoning

.

Mathematics
1 answer:
saul85 [17]2 years ago
3 0

Answer:

4

Step-by-step explanation:

I think its 4 because first, the 2 top tringles make a square, and 1+1=2. Then the 2 bottom ones make 2 more squares because one big triangle is equal to 1 square unit. So, its four.

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Simplify the expression.<br> (x 3/2)6
Sliva [168]

For this case we must simplify the following expression:

(x ^ {\frac {3} {2}}) ^ 6

We have that by definition of properties of powers that is fulfilled:

(a ^ n) ^ m = a ^ {n * m}

Then, rewriting the expression:

x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9

Answer:

(x^{\frac{3}{2}})^6=x^9

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3 years ago
Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.
xxMikexx [17]

Answer:

0.3009 is the  probability that the applicant has graduate degree given he is a male.                                                              

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

n(M) = 206

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n(M\cap G) = 62

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P(M) = \dfrac{206}{450} = 0.4578

P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378

We have to find the probability that the applicant has graduate degree given he is a male.

P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009

Thus, 0.3009 is the  probability that the applicant has graduate degree given he is a male.

5 0
3 years ago
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torisob [31]

Answer:

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Answer:

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<u>Step 1:  Rewrite</u>

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