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2 years ago

Pls help ASAP I’ll give brainliest

Mathematics

1 answer:

NARA [144]2 years ago

7 0

Answer:

B. 11.42

Step-by-step explanation:

<u>Use the law of cosines:</u>

$c = \sqrt{a^2+b^2-2ab*cosC}$

<u>Substitute the values:</u>

$c = \sqrt{9^2+12^2-2*9*12*cos64}=11.42$

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Write an equation of a circle that has the center at the origin and goes through (-3,-6)

dexar [7]

Answer:

$x^{2} +y^{2} = 45$

Step-by-step explanation:

General Equation of circle is

$(x-x_1)^{2} +(y-y_1)^{2} = r^{2}$ ----------- (1)

Here

$(x_1, y_1)= (0, 0)$

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)

$r=\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }$

$r= \sqrt{(-3-0)^{2} + (-6-0)^{2} }$

$r= \sqrt{9+36}$

$r=\sqrt{45}$

Substituting values in equation (1)

$(x-0)^{2} +(y-0)^{2} =( \sqrt{45})^{2}$

$x^{2} +y^{2} = 45$

6 0

2 years ago

A parachutist's rate during a free fall reaches 198 feet per second. What is this rate in meters per second? At this rate, how m

amm1812

Answer:

300 feet

Step-by-step explanation:

If we were using feet the expression would be 198x, where x is feet per second

Since they are asking in meters we need to convert feet to meters

When you do that you get 60

Now the expression is 60x

When you plug 5 into the equation it is 300

3 0

2 years ago

What are all the factor strings of 840?

nexus9112 [7]

$840|2\\420|2\\210|2\\105|5\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\840=2\times2\times2\times5\times3\times7=2^3\times3\times5\times7$

6 0

2 years ago

Which is equivalent to this expression?<br> 2/150 + 3/75

Lesechka [4]

Answer:

Step-by-step explanation:

$\frac{2}{150}$ First reduce this to lowest term

$\frac{2}{150}=\frac{1}{75}\\\\\frac{2}{150}+\frac{3}{75}=\frac{1}{75}+\frac{3}{75}\\\\=\frac{1+3}{75}=\frac{4}{75}\\$

7 0

3 years ago

Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25

Alenkinab [10]

Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

$P(X =x) = \: ^nC_xp^x(1-p)^{n-x}$

Binomial probability distribution

$P(X =x) = \: ^nC_xp^x(1-p)^{n-x}$

The parameters are:

n is the number of trials.

x is the number of successes.

p is the probability of success on a single trial.

In this problem:

62% say job applicants should follow up within two weeks, p = 0.62

25 managers are selected, n = 25

The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)

P( X > 18) = 1 - ( X = 18)

= 1 - 0.62

= 0.38

38 % probability that exactly 18 of them say job applicants should follow up within two weeks.

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

8 0

1 year ago