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Aleks04 [339]
3 years ago
11

How much of a(n) 80% orange juice drink must be mixed with 12 gallons of a 40% orange juice drink to obtain a mixture that is 50

% orange juice?
The amount of 80%orange juice drink is
Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Step-by-step explanation:

how much of an 80% orange juice drink must be mized with 20 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice

Answer by mananth(16075) (Show Source): You can put this solution on YOUR website!

--------percent ---------------- quantity

Orange juice 20 ---------------- 20 gal

Orange juice 80 ---------------- x gal

Mixture 50 ---------------- 20 + x gal

20 * 20 + 80 x = 50 ( 20 + x )

400 + 80 x = 1000 + 50 x

80 x + -50 x = 1000 - -400

30 x = 600

/ 30

x = 20

20 gal of 80 % Orange juice

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To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun
QveST [7]

Answer:

We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 31.7 milligrams

Sample mean, \bar{x} = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s =  2.8 milligrams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}

We use One-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429

Now, t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860

Since,                  

t_{stat} < t_{critical}

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0
4 years ago
What is the solution to the system of linear equations whose graphs are shown below?
Aleonysh [2.5K]
The solution to the system of linear equations is where the two lines intersect.

Look for the point where the two lines intersect. The x-value is 2 1/2, and the y-value is -4.

The answer is C.
5 0
3 years ago
Read 2 more answers
B) Complete the frequency polygon
masya89 [10]

Could you explain this better. Maybe in a picture or better format?

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Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and
STALIN [3.7K]

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

P(A) = \frac{4}{52} = \frac{1}{13}

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

P(B|A) = \frac{12}{51}

What is the probability of choosing a king and then, without replacement, a face card?

P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181

0.0181 probability of choosing a king and then, without replacement, a face card.

5 0
3 years ago
A rectangle has length that is 5 less than 2 times the width. Write an expression for the area of the rectangle.
a_sh-v [17]

We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:

A=Lw

We can use the relationship given in the problem, that is, its length being five less two times its width, that is:

L=5-2w

Replacing in the formula for the area we get:

A=(5-2w)w

Now we use the distributive law:

A=5w-2w^2

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1 year ago
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