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andre [41]
3 years ago
15

What’s the length of the rectangle if the width is 9?

Mathematics
1 answer:
Vladimir [108]3 years ago
3 0

Answer:

18

Step-by-step explanation:

9+9=18 both sides of the rectangle is 9 so the top is longer which means 18

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In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 14 citizens

         r = number of success = exactly 5

        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0
3 years ago
What is the 7th term in the sequence of square numbers?
12345 [234]

Answer:

49.

Step-by-step explanation:

To solve, you can simply list the square numbers in order...

1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2.

1, 4, 9, 16, 25, 36, 49.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Which are right triangles that can be formed using a diagonal through the interior of the cube? Select all that apply.
photoshop1234 [79]

Answer:

triangle AEH, triangle CFG, triangle BFG, and triangle DEG.

so b,c,e,f

this is right for e2020.

8 0
3 years ago
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What is the y coordinate in the solution for the system of linear equations below
Natali5045456 [20]

Answer:

y=6

Step-by-step explanation:

use elimination by making the ys opposite in value and eliminating them from the equation so there is only variable:

-3x+2y=6

2(4x-y=2)

-3x+2y=6

8x-2y=4

Combine like terms and divide by 5 on both sides.

5x=10

x=2

Plug x in to find y:

4(2)-y=2

8-y=2

y=6

5 0
3 years ago
What is NOT true about a direct proportion
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It’s graph must go through the origin ?
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3 years ago
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