Equation for graph with a x-intercept of -1 and y-intercept of -4

Down the Drain: In a typical 5-minute shower, 30 gallons of water flow down the drain. How much water is used after 10 minutes?

Bogdan [553]

Answer: 60 gallons

Step-by-step explanation:

5 minute = 30 gallons

10 minutes will use double as m uch water because it's double as much time

Therefore, it will use 60 gallons of water

6 0

3 years ago

You and your best friend decide to go to dinner at Chickfila. You each

svetoff [14.1K]

Answer:

= $28.90

Step-by-step explanation:

8 0

3 years ago

1. Solve the following equation.(MAFS.8.EE.3.7)<br><br> 5(3x + 7) + 2x = 7x – 5(–2x + 9)

Ksivusya [100]

Answer:

there is no solution

Step-by-step explanation:

Expand.

15x+35+2x=7x+10x-4515x+35+2x=7x+10x−45

2 Simplify 15x+35+2x15x+35+2x to 17x+3517x+35.

17x+35=7x+10x-4517x+35=7x+10x−45

3 Simplify 7x+10x-457x+10x−45 to 17x-4517x−45.

17x+35=17x-4517x+35=17x−45

4 Cancel 17x17x on both sides.

35=-4535=−45

5 Since 35=-4535=−45 is false, there is no solution.

No Solution

4 0

3 years ago

Read 2 more answers

Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636, the central limit theorem appl

lakkis [162]

Answer:

a) $\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)$

$\mu_{\bar X}=100$ $\sigma^2_{\bar X}=1$

b) $P(\bar X >101)=1-P(\bar X$

c) $P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=100,\sigma=6)$

And let $\bar X$ represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

a. What are the mean and variance of the sampling distribution for the sample means?

$\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)$

$\mu_{\bar X}=100$ $\sigma^2_{\bar X}=1.2^2=1.44$

b. What is the probability that x overbarxgreater than>101

First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$z=\frac{101-100}{\frac{6}{\sqrt{25}}}=0.833$

And we want to find this probability:

$P(\bar X >101)=1-P(\bar X$

On this last step we use the complement rule.

c. What is the probability that x bar 98less than

First we can to find the z score for the value of 98.

$z=\frac{98-100}{\frac{6}{\sqrt{25}}}=-1.67$

And we want to find this probability:

$P(\bar X$

5 0

4 years ago

What is the inverse of the function f(x) = 2x + 1?

aliina [53]

First, conceptually understand what an inverse function is, it makes solving it very intuitive. An inverse function is simply a function which has points (y,x) for every point (x,y) of the parent function. So you are essentially taking all points of the parent function and switching the x and y coordinates for each. Those switched coordinates are produced by the "inverse function".

Mathematically then, finding the inverse function is a matter of solving for x and then switching the variable labels. In this case:

y=2x+1 subtract 1 from both sides

y-1=2x divide both sides by 2

(y-1)/2=x now just switch the labels for the variables...

y=(x-1)/2 so

f^-1(x)=(x-1)/2 is the inverse of f(x)=2x+1

5 0

4 years ago