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3 years ago

Find the center of the circle that can be circumscribed about EFG with E(2,2),F(2,-2), and G(6,-2)

1 answer:

6 0

Hmmm I'd say the center of the circle will end up at the center of the triangle, namely the Centroid of the triangle circumscribed in the circle.

$\bf \textit{Centroid of a Triangle}
\begin{array}{llll}
\stackrel{E(2,2)~~F(2,-2)~~G(6,-2)}{\left(\cfrac{2+2+6}{3}\quad ,\cfrac{2-2-2}{3}\quad \right)}
\end{array}$

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The length of time before a seed germinates when falling on fertile soil is approximately Normally distributed with a mean of 60

PIT_PIT [208]

Answer:

b. 0.12

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 600, \sigma = 100$

What is the probability that a seed will take more than 720 hours before germinating?

This is 1 subtracted by the pvalue of Z when X = 720. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{720 - 600}{100}$

$Z = 1.2$

$Z = 1.2$ has a pvalue of 0.88.

1 - 0.88 = 0.12

So the correct answer is:

b. 0.12

4 0

2 years ago

Find the slope of (-8.-4) and (-4,-9

mel-nik [20]

Answer: -5/4

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

How the heck do I solve this? Please help T^T

Lelechka [254]

Answer:

Step-by-step explanation:

The quadratic is

$s(t)=-4.9t^2+12t+1.8$

where s(t) is the height of the ball after a certain amount of time goes by. If we are looking for how long til it hits the ground, we know 2 things from that question. First we know that the height of an object on the ground is 0, and we also know that t is the time that the ball is in the air. Because the height of the ball when it's on the ground is 0, we will set s(t) equal to 0 and factor the quadratic to solve for t, the time the ball is in the air. Throw it into the quadratic formula to find those times.

$t=\frac{-12+/-\sqrt{144-4(-4.9)(1.8)} }{2(-4.9)}$ which will simplify to

$t=\frac{-12+/-\sqrt{179.28} }{-9.8}$

The 2 solutions we get from that are that

$t=\frac{-12+\sqrt{179.28} }{-9.8}=-.1417906 sec$ and

$t=\frac{-12-\sqrt{179.28} }{-9.8}=2.59077sec$

Now, the 2 things in math that will never be negative are distances and time, so we will disregard the negative time and go with t = 2.59 seconds. Not sure to where you need to round.

4 0

3 years ago

Ryan is making pancakes for the Drama Club’s pancake breakfast. The table below shows the amount of pancake mix and milk needed

adell [148]

There is no table, and what us the question?

4 0

3 years ago

Name a median for ΔABC<br> a. AD<br> b. CE<br> c. A F<br> d. BD

timama [110]

Check the picture below.

you have 3 medians segments up there.

4 0

3 years ago