Select all the points that are on the line through (0,5) (2,8)

You sell apple cider for a fundraiser. For each gallon of cider you sell, the company that makes the cider receives $x$ dollars,

pav-90 [236]

Answer: You receive 14x+45 dollars for each gallon of cider that you sell.

Step-by-step explanation:

Given: For selling each gallon of cider, the company receives x dollars.

You receive = Remaining amount

i.e. You receive $(Selling price - x)

By selling 15 gallons in 15x+45 dollars, you have received (15x+45)-x dollars

i.e. You received 15x+45-x dollars

i.e. You received 14x+45 dollars.

Hence, you receive 14x+45 dollars for each gallon of cider that you sell.

7 0

2 years ago

2y - 7+ 5y = 0<br> Step by step work

Ugo [173]

Answer:

y=1

Step-by-step explanation:

2y+5y-7=0

Combine y: 7y-7=0

Move 7 over: 7y=7

Divide by 7:y=1

5 0

3 years ago

Simplify each radical expression

nlexa [21]

31.
$5 \sqrt{6} - 3 \sqrt{6} = 2 \sqrt{6}$
32.
$\sqrt{2} ( \sqrt{8} + \sqrt{6} ) \\ \sqrt{16} + \sqrt{12} \\ 4 + 2 \sqrt{3}$
33.
$(3 \sqrt{2} - 2 \sqrt{5} )(4 \sqrt{2} + 2 \sqrt{5} ) \\ 12 \sqrt{4} + 6 \sqrt{10} - 8 \sqrt{10} - 4 \sqrt{25} \\ 24 - 2 \sqrt{10} - 20 \\ 4 - 2 \sqrt{10}$
pls mark me as brainliest

3 0

2 years ago

alexandr1967 [171]

Answer:

a) $P( X$

We want this probability:

$P( X >64)$

And using the z score formula given by:

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

We got:

$P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316$

b) For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674$

And if we solve for a we got

$a=42 +0.674*5.5=45.707$

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.

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".

Part a

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

$X \sim N(42,25.5)$

Where $\mu=42$ and $\sigma=5.5$

And we want this probability:

$P( X$

And using the z score formula given by:

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

We got:

$P( X$

We want this probability:

$P( X >64)$

And using the z score formula given by:

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

We got:

$P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316$

Part b

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674$

And if we solve for a we got

$a=42 +0.674*5.5=45.707$

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.

8 0

2 years ago

What is the end behavior of the function f(x) = −x3 + 2x2 + 4x + 5?

pishuonlain [190]

The answer is Rises to the left and falls to the right so, B.
Use the degree and the leading coeeficent

3 0

2 years ago

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