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2 years ago

4 pounds of grapes cost 5$ 7 pounds of grapes cost $8.75. What is the cost per pound?

Mathematics

2 answers:

Deffense [45]2 years ago

5 0

The answer is 32.92$ because you add up then decide by 3

Simora [160]2 years ago

4 0

Answer:

$1.25 per pound

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Question 3

Elza [17]

Answer:

Perimeter is 126cm and area is 972 $cm^2$

Step-by-step explanation:

Scale factor means you multiply the dimensions by the factor. In this case 4.5

The width 6cm becomes 27cm. The length 8cm becomes 36cm.

Perimeter = 2*L + 2*W, L is length and W is width.

$P=27*2cm+36*2cm\\P=54cm+72cm\\P=126cm$

Area = L*W

$A=27cm*36cm\\A=972cm^2$

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3 years ago

Which is the graph of the linear function that is represented by the equation Y - 5x-27

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Please attach the graphs

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3 years ago

2. It is well known that astronauts increase their height in space missions because of the lack of gravity. A question is whethe

Rama09 [41]

Answer:

a) $\bar d = \frac{12.6 +14.4 +14.7 +14.5 +15.2 +13.5}{6}=14.15$

b) $ME=2.57 \frac{0.940}{\sqrt{6}}=0.986$

c) $14.15 - 2.57 \frac{0.940}{\sqrt{5}}=13.164$

$14.15 + 2.57 \frac{0.940}{\sqrt{5}}=15.136$

The 95% confidence interval is given by (13.164.15.136)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

Part a

12.6 14.4 14.7 14.5 15.2 13.5.

Assuming that the men in this study are representative of the population of all men, what is an estimate of the population mean increase in height after three full days in bed?

For this case the best estimate for the mean is the average given by this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

For our case we are taking differences so would be the mean of differences and we got:

$\bar d = \frac{12.6 +14.4 +14.7 +14.5 +15.2 +13.5}{6}=14.15$

Part b

Assuming 95 % of confidence level. In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . The degrees of freedom are given by: