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andrew-mc [135]
3 years ago
14

A, B & C form the vertices of a triangle.

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
<h3>Answer:  20.3</h3>

Work Shown:

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(67) = x/8.6

8.6*tan(67) = x

x = 8.6*tan(67)

x = 20.2603303460843  ... make sure your calculator is in degree mode

x = 20.3  .... rounding to 3 significant figures

see diagram below

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a container is filled with 100 grams of bird feed that is 80% seed. How many grams of bird feed containing 5% seed must be added
Fofino [41]
Um 20% at least i think

6 0
4 years ago
For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean
ki77a [65]

Answer:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu=?,\sigma=?)  

We are interested on this probability

P(X>X+3\mu)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

And we can find the following probablity:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0
3 years ago
If y = -5 when x = 2, find y when x = 8.
nasty-shy [4]

Answer:

Y= -20

Step-by-step explanation:

if y=-5 when x=2 find y when x=8

8 /2 = 4

=> x = 2 * 4 => x = 8 Answer

y = -5 * 4 =>

y= -20

4 0
2 years ago
Plz answer right away
Alik [6]

Answer:

1 whole and 1 over 12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If the diameter of the above cylinder is 8" , what is the radius
den301095 [7]
It would be 4" my good friend
3 0
3 years ago
Read 2 more answers
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