Write the equation of a line parallel to y=7x+8 and goes through the point (-1,1).

Help! This is the problem 1+10k+1-7k

ivolga24 [154]

Answer:

3002

Step-by-step explanation:

Very simple, just add them up.

5 0

3 years ago

Read 2 more answers

American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 53.0% of American

FrozenT [24]

Solution :

a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.

Here, the landline phone service is p = 53.0%

n = 8

Therefore, q = 1 - p

= 1 - 0.53

= 0.47

here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.

b). Let x be the number of household in the sample group having landline phone service.

Probability that none of the household in the sample group have a landline service is

= P( x = 0)

$=^8C_0 (0.53)^0(0.47)^8$

= 0.002 (using the binomial calculation )

c). Probability that exactly 5 of the household in the sample have a landline service is given by :

P(x = 5)

$=^8C_5 (0.53)^5(0.47)^3$

= 0.24

8 0

3 years ago

Which expression best estimates ________ question in picture 10 points

Contact [7]

Answer:

B: -18 ÷ 3

Step-by-step explanation:

-18 because 1/4 is closer to 18

3 because 2/3 is closer to 3 than 2

Hope This helps! (Edgenunity Sucks!)

6 0

3 years ago

If line t is a transversal of lines l and m, name the angle relationship of the given angle pairs.

Ghella [55]

Answer:

$\angle 1\ and\ \angle 3$ are corresponding angles and are congruent to each other.

$\angle 8\ and\ \angle 4$ are alternate exterior angles and thus congruent to each other.

$\angle 2\ and\ \angle 3$ are interior angles on the same side, and they are supplementary(sum=180°).

Step-by-step explanation:

Given:

Line $l\parallel m$

Line $t$ is traversal.

By angle properties we can name the angle relationship of given angle pairs.

$\angle 1\ and\ \angle 3$ are corresponding angles and are congruent to each other.

$\angle 8\ and\ \angle 4$ are alternate exterior angles and thus congruent to each other.

$\angle 2\ and\ \angle 3$ are interior angles on the same side, and thus they are supplementary.

8 0

4 years ago

The time between breakdowns of an alarm system is exponentially distributed with mean 10 days. What is the probability that ther

Nimfa-mama [501]

Answer:

$P(T>1) = e^{-\frac{1}{10}}= e^{-0.1}= 0.9048$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}$

Solution to the problem

For this case the time between breakdowns representing our random variable T is exponentially distirbuted $T \sim Exp (\mu = 10)$

So on this case we can find the value of $\lambda$ like this:

$\lambda = \frac{1}{\mu} = \frac{1}{10}$

So then our density function would be given by:

$P(T)=\lambda e^{-\frac{t}{10}}$

The exponential distribution is useful when we want to describe the waiting time between Poisson occurrences. If we assume that the random variable T represent the waiting time between two consecutive event, we can define the probability that 0 events occurs between the start and a time t, like this:

$P(T>t)= e^{-\lambda t}$

And on this case we are looking for this probability:

$P(T>1) = e^{-\frac{1}{10}}= e^{-0.1}= 0.9048$

5 0

4 years ago