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rewona [7]
3 years ago
12

!!!!SORRY I DIDNT MEAN TO SET IT TO COLLEGE, THIS IS 6th/7th grade!!!!!

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

Answer:

C) Jo's drink will have a stronger orange taste

Step-by-step explanation:

tropical punch calls for 2 liters of pineapple juice and 3 liters of orange juice.

total is 2+3 = 5 liters

pineapple = 2/5

orange = 3/5

Jo creates a drink by mixing 3 liters of pineapple juice with 4

total = 7

pineapple = 3/7

orange = 4/7

Get a common denominator to compare

5 and 7 = 35

tropical punch

pineapple = 2/5 *7/7 = 14/35

orange = 3/5*7/7 = 21/35

Jo

pineapple = 3/7*5/5 = 15/35

orange = 4/7*5/5 = 28/35

Jo will have both a stronger pineapple and orange taste than the tropical drink and the orange will be stronger than the pineapple in her drink

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Complete the equation of the line through (-8,-2)(-4,6)<br> use exact numbers
Firdavs [7]

Answer:

y = 2x + 14

Step-by-step explanation:

Hope this helps!!!

First, you have to find the slope by using

In other words,

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

Remember that m is the slope.

Distribute the slope to the parenthesis

Isolate the y variable

6 0
2 years ago
suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio
djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

\mu = \mu_X - \mu_Y = 45 - 35 = 0

\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0 - 10}{5}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

4 0
3 years ago
Solve for x: 6x + 1 over 4 (4x + 8) &gt; 12
sukhopar [10]

Answer:

A. x>\frac{10}{7}.

Step-by-step explanation:

We have been given an inequality 6x+\frac{1}{4}(4x+8)>12. We are asked to solve the given inequality for x.

Using distributive property, we will get:

6x+\frac{1}{4}*4x+\frac{1}{4}*8>12

6x+x+2>12

7x+2>12

Subtract 2 from both sides:

7x+2-2>12-2

7x>10

Divide both sides by 7:

\frac{7x}{7}>\frac{10}{7}

x>\frac{10}{7}

Therefore, option A is the correct choice.

3 0
3 years ago
A man sold a fan for Rs. 400. Find the cost price if he incurred a loss of 15%.
statuscvo [17]

Answer:

Cost price of the fan is \text {Rs. 470.59}.

Step-by-step explanation:

Given: A man sold a fan for  \text{Rs.}\:400. He incurred a loss of 15\%.

To find: The cost price of the fan

Solution:

We have,

Selling price, S.P.,  of the fan = \text{Rs.} 400

Loss =15\%

We know that \text {Loss\%}=\frac{\text{C.P.-S.P.}}{\text{C.P.}}\times100\%

Now let the C.P. of the fan be \text{Rs.} \:x

So, 15=(\frac{x-400}{x})\times 100

\implies 15x=100x-40000

\implies 100x-15x=40000

\implies 85x=40000

\implies x=\frac{40000}{85}

\implies x= 470.59

Hence, the cost price of the fan is \text {Rs. 470.59}.

7 0
3 years ago
Use the Distributive Property to<br> simplify the following:<br> 7(y + 3) =
Ksju [112]

Answer:

7y+21

Step-by-step explanation: i solve it hope this help.

8 0
2 years ago
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