All categories

3 years ago

What is the slope of the line through (-10,1)(−10,1)left parenthesis, minus, 10, comma, 1, right parenthesis and (0,-4)(0,−4)

Mathematics

1 answer:

iris [78.8K]3 years ago

4 0

Answer:

$- \frac{1}{2}$

Step-by-step explanation:

We have to find the slope of the line through the points (-10,1) and (0,-4).

We know the formula of slope of a straight line when two different points on the line are known to be ( $x_{1}, y_{1}$ ) and ( $x_{1}, y_{1}$ ) is given by $[\frac{y_{1} - y_{2} }{x_{1} - x_{2}}]$ .

Therefore, in our case ( $x_{1}, y_{1}$ ) ≡ (-10,1) and ( $x_{1}, y_{1}$ ) ≡ (0,-4)

Therefore, the slope is $\frac{1 - (- 4)}{- 10 - 0} = - \frac{1}{2}$ (Answer)

You might be interested in

Past records indicate that the probability of online retail orders

Tcecarenko [31]

Answer:

a) Mean = 1.6, standard deviation = 1.21

b) 18.87% probability that zero online retail orders will turn out to be fraudulent.

c) 32.82% probability that one online retail order will turn out to be fraudulent.

d) 48.31% probability that two or more online retail orders will turn out to be fraudulent.

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.

The mean of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$p = 0.08, n = 20$

a. What are the mean and standard deviation of the number of online retail orders that turn out to be fraudulent?

Mean

$E(X) = np = 20*0.08 = 1.6$

Standard deviation

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.08*0.92} = 1.21$

b. What is the probability that zero online retail orders will turn out to be fraudulent?

This is P(X = 0).

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

$P(X = 0) = C_{20,0}.(0.08)^{0}.(0.92)^{20} = 0.1887$

18.87% probability that zero online retail orders will turn out to be fraudulent.

c. What is the probability that one online retail order will turn out to be fraudulent?

This is P(X = 1).

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

$P(X = 1) = C_{20,1}.(0.08)^{1}.(0.92)^{19} = 0.3282$

32.82% probability that one online retail order will turn out to be fraudulent.

d. What is the probability that two or more online retail orders will turn out to be fraudulent?

Either one or less is fraudulent, or two or more are. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 1) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

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

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

From itens b and c

$P(X \leq 1) = 0.1887 + 0.3282 = 0.5169$

$P(X \geq 2) = 1 - P(X \leq 1) = 1 - 0.5169 = 0.4831$

48.31% probability that two or more online retail orders will turn out to be fraudulent.

4 0

4 years ago

How do i work out the probability of rolling two sixes

Olegator [25]

Answer: p = 1/25

Step-by-step explanation:

Ok, you know that the probability of rolling a six is p = 1/5

now, if you want to have two sixes, then you have two events with a probability of 1/5.

And as you know the joint probability for two events is equal to the product of the probabilities, then the probability of rolling two sixes is:

p = (1/5)*(1/5) = 1/25.

5 0

3 years ago

When you're standing in a pool in the summertime, and your leg looks shorter under the water than in air, this is an example of

alexgriva [62]

I believe reflection

6 0

3 years ago

Read 2 more answers

What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided by 4 leaves a remainder of 3, an

maria [59]

Answer:

59

Step-by-step explanation:

If a number is divided by $n$ and leaves a remainder $(n-1)$ , then the number $(n+1)$ will be completely divisible by $n$ .

Therefore, when we say a number $x$ , when divided by 6, it leaves a remainder 5, then ( $x+1$ ) will be a multiple of 6.

When we say a number $x$ , when divided by 5, it leaves a remainder 4, then ( $x+1$ ) will be a multiple of 5.

When we say a number $x$ , when divided by 4, it leaves a remainder 3, then ( $x+1$ ) will be a multiple of 4.

When we say a number $x$ , when divided by 3, it leaves a remainder 2, then ( $x+1$ ) will be a multiple of 3.

So, $x+1$ is a common multiple of 3, 4, 5 and 6.

Taking LCM of 3, 4, 5 and 6, we get 60.

So, the number 60 - 1 = 59 is the least such number.

3 0

3 years ago

NEED HELP NOW 100 POINTS NEED 1 PARAGRAPH EACH EXPLAINING QUESTIONS 9 AND 10 WILL MARK BRAINLIEST ANSWER!!!

amm1812

9) Area of Figure = Area of rectangle + area of triangle

A = 17 * 22 + (1/2 * 12 * 19)

A = 374 + 114

A = 488 cm²

10) Area of Figure = Area of rectangle + area of triangle

A = 8 * 4 + (1/2 * 3*4)
A = 32 + 6

A = 38 cm²

Hope this helps!

7 0

3 years ago

Read 2 more answers