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nignag [31]
3 years ago
13

What is the slope of a line that is perpendicular to the line represented by the equation of y=-2/5x+4/5

Mathematics
1 answer:
baherus [9]3 years ago
7 0

Answer:

B = 5/2

Step-by-step explanation:

A perpendicular line has the negative recripical (cant spell lol), but you basically flip the slope and change the sign.

-2/5 = 5/2  

:)

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After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last
mixer [17]

Answer:

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Step-by-step explanation:

For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

21 new employees.

This means that n = 21

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that p = 0.5

Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.

This is

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0

P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001

P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001

P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

8 0
3 years ago
What’s 9 + 10? ‎ ‎ ‎ ‎
lesya692 [45]
21 HAHAHHAH IK SO SMART LOO RAWR XD
4 0
3 years ago
Read 2 more answers
Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P "
12345 [234]

Answer:

The responses to the given can be defined as follows:

Step-by-step explanation:

For point a:

fixing probability vector that is W = [a b c]

\therefore

relation: WT =W

\to 0.5a+0.3b+0.2c=a ..................(1)\\\\  \to  0.4a+0.4b+0.3c=b..............(2)\\\\  \to  0.1a+0.3b+0.5c=c.................(3)

solving the value:

a=0.3387 \\\\ b=0.3710\\\\ c=0.2903

Therefore the stationary distribution \pi =[0.3387 \ 0.3710\  0.2903]

For point b:

\pi will be limiting distribution if \pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1

\pi satisfies the above condition so, it is limiting the distribution.

3 0
3 years ago
A man needed to sell a car. He priced it at $3,500 the first day. The second day he reduced the price by 15%. What was the price
pashok25 [27]

Answer:

$2,975.00

Step-by-step explanation:

15% off of $3,500 is $2.975

5 0
3 years ago
Write an expression that is equivalent to <br> (23.6-7.1a-4.2b)-(5.8b-9a)
KengaRu [80]
Let's simplify step-by-step.<span><span><span>23.6−<span>7.1a</span></span>−<span>4.2b</span></span>−<span>(<span><span>5.8b</span>−<span>9a</span></span>)</span></span>Distribute the Negative Sign:<span>=<span><span><span>23.6−<span>7.1a</span></span>−<span>4.2b</span></span>+<span><span>−1</span><span>(<span><span>5.8b</span>−<span>9a</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span>23.6+</span>−<span>7.1a</span></span>+</span>−<span>4.2b</span></span>+<span><span>−1</span><span>(<span>5.8b</span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>9a</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span>23.6+</span>−<span>7.1a</span></span>+</span>−<span>4.2b</span></span>+</span>−<span>5.8b</span></span>+<span>9a</span></span></span>Combine Like Terms:<span>=<span><span><span><span>23.6+<span>−<span>7.1a</span></span></span>+<span>−<span>4.2b</span></span></span>+<span>−<span>5.8b</span></span></span>+<span>9a</span></span></span><span>=<span><span><span>(<span><span>−<span>7.1a</span></span>+<span>9a</span></span>)</span>+<span>(<span><span>−<span>4.2b</span></span>+<span>−<span>5.8b</span></span></span>)</span></span>+<span>(23.6)</span></span></span><span>=<span><span><span>1.9a</span>+<span>−<span>10b</span></span></span>+<span>23.6</span></span></span>
8 0
3 years ago
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