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2 years ago

this line? 10. A line passes through the points (-3, -1) and (-5, 4). What is the slope of this line?

Mathematics

1 answer:

myrzilka [38]2 years ago

8 0

Answer:

-4/7

Step-by-step explanation:

To calculate slope, you should put your points into this form - (y1-y2)/(x1-x2). In this case, it's (-5+1)/(4+3).

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Which term is a perfect square of the root 3x4?<br>

KiRa [710]

Answer:

2√3

Step-by-step explanation:

√3x4 = √12 = 2√3

5 0

3 years ago

Read 2 more answers

A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 student

Gwar [14]

Answer:

B) 0.283

Step-by-step explanation:

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.

25% of the students drive themselves to school.

This means that $p = 0.25$

Class of 18 students

This means that $n = 18$

What would be the probability that at least 6 students drive themselves to school?

This is

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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

$P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006$

$P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034$

$P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096$

$P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17$

$P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213$

$P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718$

$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282$

Closest option is B, just a small rounding difference.

4 0

3 years ago

If f(x) = - 4x + 8, what is the value of f(-4)

kompoz [17]

Answer:

Hi there!

Your answer is:

f(-4) = 24

Step-by-step explanation:

F(-4) means to plug in -4 for x!

-4(-4) +8

16+8= 24

f(-4) = 24

I hope this helps!

5 0

3 years ago

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Use calculus to find the area a of the triangle with the given vertices. (0, 0), (5, 1), (3, 6)

Natalka [10]

See, pls, the suggested decision, if it's possible check the arithmetic part.

3 0

3 years ago

A doggy daycare takes care of 25 dogs on Friday. But on Saturday 3 more dogs join the group. What percent increase was that?

True [87]

Answer:

12%

Step-by-step explanation:

do 3 divided by 25 and you will get the percentage.

3/25 = 0.12 move the decimal over 2 plaves and boom you got it

4 0

3 years ago

this line? 10. A line passes through the points (-3, -1) and (-5, 4). What is the slope of this line?​

this line? 10. A line passes through the points (-3, -1) and (-5, 4). What is the slope of this line?