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Verdich [7]
3 years ago
11

Find the distance between (-2,6) ,(4,8)

Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

\sqrt{40} OR 6.324555

Remember to round accordingly if not intended to be answered in square root form!

Step-by-step explanation:

Use the distance formula

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The law of Cosines Is......​
iogann1982 [59]

Answer: \Large\boxed{C.~21}

Step-by-step explanation:

<u>The goal of the question</u>

Find the value of 2abcosC

<u>Given information</u>

a = 4

b = 3

c = 2

<u>Given formula (Law of Cosine)</u>

c^2=a^2+b^2-2abcosC

<u>Substitute values into the formula (Leave 2abcosC as it is)</u>

(2)^2=(4)^2+(3)^2-2abcosC

<u>Simplify the exponents</u>

4=16+9-2abcosC

<u>Simplify by addition</u>

4=25-2abcosC

<u>Add 2abcosC on both sides</u>

4+2abcosC=25-2abcosC+2abcosC

4+2abcosC=25

<u>Subtract 4 on both sides</u>

4 + 2abcosC-4=25-4

\Large\boxed{2abcosC=21}

Hope this helps!! :)

Please let me know if you have any questions

5 0
1 year ago
Read 2 more answers
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute
NemiM [27]

Answer:

a) 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

b) 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

Step-by-step explanation:

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}}.

Normal probability distribution

Problems of normally distributed samples can be 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.

Mildly obese

Normally distributed with mean 373 minutes and standard deviation 67 minutes. So \mu = 373, \sigma = 67

A) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes?

So n = 5, s = \frac{67}{\sqrt{5}} = 29.96

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

Z = \frac{410 - 373}{29.96}

Z = 1.23

Z = 1.23 has a pvalue of 0.8907.

So there is a 1-0.8907 = 0.1093 = 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

Lean

Normally distributed with mean 526 minutes and standard deviation 107 minutes. So \mu = 526, \sigma = 107

B) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes?

So n = 5, s = \frac{107}{\sqrt{5}} = 47.86

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

Z = \frac{410 - 526}{47.86}

Z = -2.42

Z = -2.42 has a pvalue of 0.0078.

So there is a 1-0.0078 = 0.9922 = 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

7 0
3 years ago
Asian began painting his house on Monday He work 5 hrs. longer on Tuesday than he work on Monday. On Wednesday he worked 4 hrs.
jek_recluse [69]
He worked 4 hours on monday.
8 0
3 years ago
Read 2 more answers
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for
natulia [17]

Answer:

y=$2.95x+$479.4

Step-by-step explanation:

Let

x----> the number of movie rentals

y ----> the cost for movie rentals

we know that

The expression that represent the monthly cost is equal to

y=$2.95x+$39.95

1 year has 12 months

so

The expression that represent the yearly cost is equal to

y=$2.95x+$39.95*(12)

y=$2.95x+$479.4

8 0
2 years ago
HELP. WILL MAKE BRAINLIEST Make a true congruence statement about the following triangles:
nikdorinn [45]

How will I answer that, the image isn't showing luv

3 0
2 years ago
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