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3 years ago

Points (0,6) and (-4,y) lie on the line with a slope of 5

Mathematics

1 answer:

Anna [14]3 years ago

6 0

For this case we have that by definition, the slope of the line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

According to the statement we have:

$(x_ {1}, y_ {1}) :( 0,6)\\(x_ {2}, y_ {2}): (- 4, y_{2})\\m = 5$

Substituting the values:

$5 = \frac {y_ {2} -6} {- 4-0}\\5 = \frac {y_ {2} -6} {- 4}\\5 * -4 = y_ {2} -6\\-20 = y_ {2} -6\\-20 + 6 = y_ {2}\\y_ {2} = - 14$

Thus, the value of $y_ {2} = - 14$

Answer:

$y_ {2} = - 14$

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6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

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

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

Need help on this question (:

Colt1911 [192]

See this and Mark as brainleist please

8 0

3 years ago

Find slopes , ill mark brainlist

zepelin [54]

Answer:

$\frac{3}{2}$ $or$ $1\frac{1}{2}$

Step-by-step explanation:

We are given a graph and asked to find the slope.

So we can see two coordinate points, one on (0, 3) and (2, 0).

When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.

So count how many times it'll take for x to get to y, base it off the picture below

Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.

Would this be negative though? No, since the graph is in an increase, not a decrease.

4 0

3 years ago

John Doe estimates that the price elasticity of demand for new SUVs to be 0.75. If the price of SUVs rose by 15%; would the quan

Charra [1.4K]

If the coefficient of demand for the SUV is 0.75 this means that it has a relatively inelastic demand since it is less than. In other words, there is only a little alteration in demand when prices change.
So when the price of SUV rise by 15%, and it has a coefficient of 0.75, we can anticipate only 11.25% decrease in its demand. This is for the reason that the SUVs do not have many substitutes for it.
So to solve:
(x/15%) = 0.75
Then simply solve for x:
x = (0.75)(0.15) = 11.25%

4 0

3 years ago

oksian1 [2.3K]

Answer:

-9

Step-by-step explanation:

f(2) - f(4) / 2-4

[2²+3(2)] - [4²+3(4)] / -2

(10 - 28) / 2

= -18/2

= -9

6 0

3 years ago

Read 2 more answers