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Naddik [55]
2 years ago
5

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Mexican Sha

de Grown blend with the Rift Valley blend, but always in the same proportion. Yesterday, you mixed 80 pounds of the Mexican Shade Grown blend with 24 pounds of the Rift Valley blend. Today, there is 60 pounds of the Mexican Shade Grown coffee left in stock. How many pounds of the Rift Valley coffee should you mix with it to get your secret blend?
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
7 0
60 is 3/4 of 80. Multiply 24 x 3/4 and voila you have your answer, my friend.

It's 18 pounds of Rift Valley.
You might be interested in
Ending time 6:30, elapsed time 37 minutes
Nastasia [14]

Answer:

5:53

Step-by-step explanation:

The original time would be 37 minutes before 6:30 so you would subtract 37 minutes from 6;30. So 6:30 minus 30 would be 6 and you would have 7 left over so 6:00 minus 7 minutes would be 5:53

6 0
2 years ago
Write the slope-intercept form of the equation of the line described below.
prisoha [69]

The equation of the line is y=-\frac{2}{5}x-5

Explanation:

Given that the line passes through the points (-5,-3)

The slope of the line is m=-\frac{2}{5}

We need to determine the equation of the line.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Let us substitute the points (-5,-3) and the slope m=-\frac{2}{5} in the above formula.

Thus, we have;

y+3=-\frac{2}{5}(x+5)

Simplifying, we get;

y+3=-\frac{2}{5}x-2

Subtracting 3 from both sides of the equation, we get;

y=-\frac{2}{5}x-5

Hence, the equation of the line in slope - intercept form is y=-\frac{2}{5}x-5

4 0
3 years ago
According to statistician Persi Diaconis, the probability of a penny landing heads when it is spun on its edge is only about 0.2
Arlecino [84]

Answer:

a) The p-value obtained from the one-proportion applet is more valid because a z-test statistic shouldn't have been used for the other obtained p-value. Check Explanation for more Explanation.

b) No, there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Step-by-step explanation:

The p-value for this problem was obtained from a one proportion simulation applet and another obtained using a one proportion z-test p-value.

But one of the conditions for the use of the z-test or the z-distribution in obtaining the p-value is that information on the population mean and standard deviation should be known or the sample size should be large enough such that the properties of the sample should approximate the properties of the the population distribution.

But for this question and hypothesis test, the sample that the we are working with is only of sample size 12 with no information on the population standard deviation provided, hence, the p-value obtained from the z-test statistic one proportion test is not a valid enough one due to this reason.

Plus, on calculating this p-value manually, it was obtained to be 0.078, to justify this explanation as it is very close to.the value obtained using the simulation applet.

Manual way of calculating

t = (x - μ)/σₓ

x = 5/12 = 0.41667

μ = p₀ = 0.20

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 12

σₓ = √[0.4167×0.5833/12] = 0.1423

t = (0.4167 - 0.20) ÷ 0.1423

t = 1.52

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 12 - 1 = 11

Significance level = 0.05 (This is used when no significance level is provided in the question)

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 1.52, at 0.05 significance level, df = 11, with a one tailed condition) = 0.07836

b) To know which conclusion to draw, we need to first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

And the alternative hypothesis is that there is enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Mathematically, if p is the proportion of times the spun penny will turn up heads in the long run,

The null hypothesis is represented as

H₀: p ≤ 0.20

The alternative hypothesis is represented as

Hₐ: p > 0.20

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05 (usually used when the significance level for the test isn't specified)

p-value = 0.0770

0.0770 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Hope this Helps!!!

6 0
3 years ago
Paula wants to buy new carpet for her bedroom. The floor is in the shape of a rectangle. Its length is 16 feet and its width is
irga5000 [103]

Answer: 1408

Step-by-step explanation:

You are finding the area of the rectangle (length times width). You are going to multiply 16 and 11, which equals 176. You take the area of the carpet and multiply it by how much it costs($8.00). The answer would be $1408.00

3 0
2 years ago
Is 5/6 = &gt; &lt; than 7/8
pantera1 [17]
Answer: 5/6>7/8

Hope that helps
4 0
3 years ago
Read 2 more answers
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