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Xelga [282]
3 years ago
11

In ABC, angle C is a right angle. Which statement must be true

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

a

Step-by-step explanation:

a because the the sin is opposite divided by hypotenuse and the opposite of a is 12 and the hypotenuse is 13 so sin a would be 12/13

this is equals to the cosine of b because cos is adjacent/hypotenuse and the adjacent of b is 12 and the hypotenuse is 13 so cos b would be 12/13

hope this helps :)

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7th grade math plss helpp
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Answer:

2x-2=-4

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I need to calculate X<br><br> 2^x=200<br><br> Solve for x
antoniya [11.8K]
Remember
log(a^z)=zlog(a)
so

notice that 200=2*2*2*5*5, so x cannot be a whole number

take the log base 10 of both sides

log_{10}(2^x)=log{10}(200)
xlog_{10}(2)=log{10}(200)
divide both sides by log_{10}(2)
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x= log_{2}(200) because log_{a}(a^b)=b
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4 years ago
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3 years ago
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Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 117 mg/dl and
TiliK225 [7]

Answer:

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

Step-by-step explanation:

To solve this problem, 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, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 117, \sigma = 10.6, n = 6, s = \frac{10.6}{\sqrt{6}} = 4.33

What is the level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L ?

This is the value of X when Z has a pvalue of 1-0.01 = 0.99. So X when Z = 2.33.

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

By the Central Limit Theorem

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

2.33 = \frac{X - 117}{4.33}

X - 117 = 2.33*4.33

X = 127.1

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

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4 years ago
Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225
Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

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<em>Xanthia</em>

m=100\ pages/hour

b=225\ pages

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substitute and solve for x

0=-100x+225

100x=225

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<em>Molly</em>

m=50\ pages/hour

b=225\ pages

y=-50x+225 ----> the slope is negative because is a decreasing function

For y=0

0=-50x+225

50x=225

x=4.5\ hours --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

4.5\ h-2.25\ h=2.25\ h

Convert to minutes

Multiply by 60

2.25\ h=2.25(60)=135\ minutes

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