WILL MARK BRAINLIEST! 30 PTS-----An equilateral triangle has what type of symmetry?

Whats the solution for 9+4n -79 PLEASE ANSWER

iogann1982 [59]

Answer:

I think this is the correct solution

8 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

5.2 x 10^3 + 7 x10^4 =__ x 10_ Write your final answer in scientific notation

andreev551 [17]

The scientific notation of the given number is 7.2× $10^{4}$ .

<h3>How do you find scientific notation?</h3>

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Given that,

$2$ × $10^{3}+7$ × $10^{4}$

Taking the common power of 10.

= $10^{3}$ × (2+70)

= 72× $10^{3}$

In scientific notation,

Multiply and divide by 10.

7.2× $10^{4}$

Hence, The scientific notation of the given number is 7.2× $10^{4}$ .

To learn more about scientific notation from the given link:

brainly.com/question/27862246

#SPJ10

5 0

1 year ago

Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represen

jekas [21]

If a is the number of balls Andre hit then a≥2j-20.

3 0

3 years ago

Read 2 more answers

A 90% confidence interval is centered at a _____ and is 90% sure to contain the _______.

forsale [732]

Answer:

See below

Step-by-step explanation:

A 90% confidence interval is centered at a parameter and is 90% sure to contain the statistic.

When you are running a statistical test, you can create a confidence interval centered at the appropriate parameter (such as the mean) to see if the statistic stated in your null hypothesis is true if it's contained in the interval. Whatever the confidence level is determines how wide the interval will be, and as such, will determine how likely the interval will catch the statistic in question.

3 0

2 years ago