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olga_2 [115]
3 years ago
6

The hypotenuse of the right triangle ABC shown below is 17 feet long. The cosine of angle C is 35. How many feet long is the seg

ment AC?
Mathematics
1 answer:
Ket [755]3 years ago
7 0
Diagram missing.

Question interpreted as:
ABC is a right triangle right angled at A.
BC=17 feet
angle C = 35 degrees.

AC=BCcos(35)=17*0.8192=13.93 feet to the nearest 1/100th of a foot.
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I hope you get it right
3 0
3 years ago
An Epson inkjet printer ad advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume t
Neko [114]

Answer:

35.2% probability that the sample mean will be 246 pages or more

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 245 \sigma = 15, n = 33, s = \frac{15}{\sqrt{33}} = 2.61

What the probability that the sample mean will be 246 pages or more?

This is 1 subtracted by the pvalue of Z when X = 246. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{246 - 245}{2.61}

Z = 0.38

Z = 0.38 has a pvalue of 0.6480.

1 - 0.6480 = 0.3520

35.2% probability that the sample mean will be 246 pages or more

4 0
3 years ago
A right rectangle prism has a length of 5 cm, a width of 4 cm, and a height of of 3 cm. The dimensions of the prism are doubled.
MaRussiya [10]
As the volume of cuboid is given by,
l×b×h
as the dimensions are doubled,
l2×b2×h2
5×2×4×2×3×2
= 480 cm^3
6 0
3 years ago
Read 2 more answers
63 student has to be 4 student in each group who won’t be in a group
alina1380 [7]

Answer:

15×4=60 and 3 people will be left without a group of 4

8 0
3 years ago
Read 2 more answers
Anyone know 14!!!!! Please help me!!!!!:(
asambeis [7]

-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;

-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.

I can see the function right now, but I'll show you how to go through the steps to
find the function.  I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ? 
Somebody give me the answer !".

Just take a look at what has already been handed to you:

0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees

You know three points on the line !

(0, 65) ,  (1, 62) ,  and  (2, 59) .

For the first point, 'x' happens to be zero, so immediately
you have your y-intercept !    ' b ' = 65 .

You can use any two of the points to find the slope of the line.
You will calculate that the slope is negative-3 . . . which you
might have realized as you read the story, looked at the numbers,
and saw that they are <u>firing 3 employees per month</u>.
("Losing" them doesn't quite capture the true spirit of what is happening.)

So your function ... call it ' W(n) ' . . . Workforce after 'n' months . . .

is           <em>W(n) = 65 - 3n</em> .


4 0
3 years ago
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