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Lostsunrise [7]
2 years ago
8

Find X. Round to the nearest tenth. Law of Cosines : c2 = 22 + b2 - 2ab cos C

Mathematics
1 answer:
fiasKO [112]2 years ago
7 0

Answer:

70.5°

Step-by-step explanation:

22² = (20)²+(18)² - 2(20)(18) cos X

484 = 400 + 324 - 720 cos X

-240 = -720 cosx

1/3 = cos X

cos^{-1}(\frac{1}{3}) = X

X = 70.52877937

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3(m - 4) < 27
Free_Kalibri [48]

Step-by-step explanation:

This is right m does equal 13. D first you multiply everything in the para thesis and so on

6 0
3 years ago
The distribution of the average amount of sleep per night gotten by college students is roughly bell-shaped with mean 412 minute
kirza4 [7]

Answer:

P(X

P(z

Step-by-step explanation:

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".  

Solution to the problem

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

X \sim N(412,68)  

Where \mu=412 and \sigma=68

We are interested on this probability

P(X

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}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

4 0
3 years ago
Smiplify d equation​
Semmy [17]

Answer:

\frac{21}{4}

Step-by-step explanation:

Given

3 × \frac{7}{4} ← can be expressed as

\frac{3}{1} × \frac{7}{4}

Multiply numerators/ denominators, that is

= \frac{3(7)}{1(4)}

= \frac{21}{4}

4 0
3 years ago
Read 2 more answers
you bought a car for $24,500. you got a five-year loan for the car. You paid $9187.50 and simple interest. What was your interes
Marysya12 [62]
5.3 % interest rate...$$$
5 0
3 years ago
Solve:0.07x - 0.02=0.4
ankoles [38]
Add 0.02 by 0.4 and get 0.42 then divide 0.42 by 0.07x and get 6


x=6
4 0
3 years ago
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