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2 years ago

Which of the scenarios include only independent events?

Mathematics

2 answers:

Marianna [84]2 years ago

6 0

INDEPENDENT IT WAS ON MY TEST

Nadusha1986 [10]2 years ago

4 0

Answer:

Step-by-step explanation:

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What is the GCF of 147y^3 , 245y^2

NikAS [45]

147 = 3 * 7 * 7
245 = 5 * 7 * 7

so the gcf is 7*7 = 49

abd gcf of y^3 and y^2 is y^2

answer:- 49y^2

8 0

3 years ago

Calvin throws 12 sheets of paper up in the air and randomly catches one of the sheets as they float down. Of the 12 sheets of pa

Leokris [45]

Total number of sheets are 12.

Total number of white sheets= 9

Total number of red sheets = 3

Probability = Number of favorable outcomes/ total number of outcomes.

Hence

When Calvin throws the sheets in the air, the probability that he gets a white sheet is

$\frac{9}{12}$

which equals to $\frac{3}{4}$

that becomes 0.75

7 0

3 years ago

A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per cu

Gennadij [26K]

P(2)×c(2) = 76×60 = 4560 is the revenue the company can expect when the charge per customer is 2×$5 above a rate of $50 per person, that is, $60 per person.

The 1st selection is appropriate

7 0

3 years ago

Standard __ covers real property appraisal development, and standard __ covers real property appraisal reporting.

frosja888 [35]

Answer:

2/3+3/4=5/6

Step-by-step explanation:

3 0

1 year ago

∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bcosxdx%7D%7B%5Csqrt%7B1%2Bsin%5E%7B2%7Dx%20%7D%20%7D" id="TexFormula1" title="\frac

const2013 [10]

Substitute sin(x) = tan(t) and cos(x) dx = sec²(t) dt. We want this change of variable to be reversible, so let's assume bot x and t are bounded between 0 and π/2.

Then we have

$\displaystyle \int \frac{\cos(x)}{\sqrt{1 + \sin^2(x)}} \, dx = \int \frac{\sec^2(t)}{\sqrt{1 + \tan^2(t)}} \, dt$

Recall the Pythagorean identity,

1 + tan²(t) = sec²(t)

Then

√(1 + tan²(t)) = √(sec²(t)) = sec(t)

and the integral reduces to

$\displaystyle \int \frac{\sec^2(t)}{\sqrt{1 + \tan^2(t)}} \, dt = \int \frac{\sec^2(t)}{\sec(t)} \, dt = \int \sec(t) \, dt = \ln|\sec(t)+\tan(t)| + C$

Change the variable back to x, so the antiderivative is

$\displaystyle \int \frac{\cos(x)}{\sqrt{1 + \sin^2(x)}} \, dx = \ln \left|\sec\left(\tan^{-1}(\sin(x))\right) + \tan\left(\tan^{-1}(\sin(x))\right) \right| + C$

$\displaystyle \int \frac{\cos(x)}{\sqrt{1 + \sin^2(x)}} \, dx = \boxed{\ln \left|\sqrt{1+\sin^2(x)} + \sin(x) \right| + C}$

6 0

2 years ago