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Varvara68 [4.7K]
3 years ago
15

Plz help advanced calculus ​

Mathematics
1 answer:
love history [14]3 years ago
6 0

Answer:

I wanna say that its K. Sin 2x

If i'm wrong i'm so sorry

Hope i helped you in some way

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Find the value of x .
pantera1 [17]

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

4 0
3 years ago
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

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

By the Central Limit Theorem

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

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
Maria can clean the entire house in two hours. Her sister, Sasha, can clean the house in three hours. How long would it take for
lisabon 2012 [21]
Maria do 1/2 work in 1 hour
Sasha do 1/3 work in 1 hour

Thus,
1/2+1/3=5/6 work in 1 hour
5/6 work in = 1 hour
1 work in =6/5=1.2 hours =72 minutes
3 0
3 years ago
Ashley bought 2 1/7 lb of tomatoes, 3 2/3 lb of lettuce, and 3 1/3 lb of spinach to make a salad. How many pounds of vegetables
blsea [12.9K]
9 1/7 lb

You can convert the mixed numbers to solve it easier! :)
7 0
3 years ago
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(1))?
Murrr4er [49]

Answer:

f(g(1))=11

Step-by-step explanation:

So we have the two functions:

f(x)=2x+7\text{ and } g(x)=-3x+5

And we want to find f(g(1)).

So, let's find g(1) first:

g(x)=-3x+5

Substitute 1 for x:

g(1)=-3(1)+5

Simplify:

g(1)=-3+5

Add:

g(1)=2

So:

f(g(1))=f(2)

Now, substitute 2 for x in f(x):

f(x)=2x+7\\f(2)=2(2)+7

Multiply:

f(2)=4+7

Add:

f(2)=11

So:

f(g(1))=11

8 0
3 years ago
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