The figure below shows a triangular prism and its net. What is the surface

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2 + 1 inches, and

yanalaym [24]

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Given information
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Side length of a square = 2x² + 1
Perimeter of the square = 4(2x² + 1)

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If x = 3.5, find perimeter
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Perimeter of the square = 4(2(3.5)² +1)
Perimeter of the square = 4(2(12.25) +1)
Perimeter of the square = 4(24.5 +1)
Perimeter of the square = 4(25.5)
Perimeter of the square = 102 inches

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Answer: Margot will need 102 inches of the ribbon.
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5 0

3 years ago

Read 2 more answers

Idk how to do <br> -15 = 9-2p<br> and i’m not sure how to do it out

Vedmedyk [2.9K]

Answer:

12

Step-by-step explanation:

-15=9-2p

-9. -9

-24=-2p

divide both sides by -2

12

7 0

3 years ago

A child starts a playground swing from standing and doesn't use her legs to keep swinging. On the first

yanalaym [24]

Answer:

The equation is $m(n) = 24(0.75)^{n}$

Step-by-step explanation:

Let the exponential function is $m(n) = a(b)^{n}$ , where m is the angle of the swing forward and n is the number of swings.

Here, a and b are constants.

Now, for n = 1, m = 18 degrees and for n = 2, m = 13.5 degrees.

Therefore, the two equations that we can write are :

$18 = a(b)^{1} = ab$ ............. (1) and

$13.5 = a(b)^{2}$ ................. (2)

Now, solving the above two equations we get,

$\frac{ab^{2} }{ab} = \frac{13.5}{18} = 0.75$

⇒ b = 0.75

So, from equation (1) we get, $a = \frac{18}{0.75} = 24$

Therefore, the equation is $m(n) = 24(0.75)^{n}$ (Answer)

6 0

3 years ago

Fill in the signs to make true 9 4 7 3 = 15

KonstantinChe [14]

9- 4+ 7 +3 = 15

5+7+3=15

12+3=15

15=15

7 0

3 years ago

Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backu

JulsSmile [24]

Answer:

a) There is a 10.24% probability that both generators fail during a power outage.

b) There is an 89.76% probability of having a working generator in the event of a power outage, which is not high enough for the hospital.

Step-by-step explanation:

For each emergency backup generator, there are only two possible outcomes. Either they work correctly, or they fail. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

Assume that emergency backup generators fail 32% of the times when they are needed. So they work correctly 100-32 = 68% of the time. So $p = 0.68$

There are two generators, so $n = 2$

a. Find the probability that both generators fail during a power outage

This is $P(X = 0)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.68)^{0}.(0.32)^{2} = 0.1024$

There is a 10.24% probability that both generators fail during a power outage.

b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed.

Either there are no working generators, or there is at least one working generator. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1024 = 0.8976$

There is an 89.76% probability of having a working generator in the event of a power outage, which is not high enough for the hospital.

To be high enough for the hospital, this probability should be at least of 99%.

7 0

4 years ago