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3 years ago

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A 20-pack of Dr. Pepper cost $5.50 and a 6-pack cost $1.50. Which is the better deal?

1 answer:

Irina-Kira [14]3 years ago

5 0

Answer:

Step-by-step explanation:

20-pack of Dr. Pepper cost $5.50 . As per this deal

Cost of one pack = 5.5/20 = $ 0.275

a 6-pack cost $1.50.As per this deal

Cost of one pack = 1.50/6 = $ 0.25

A 6-pack cost $1.50 is the better deal.

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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.

zzz [600]

Answer:

$CI=(66.54,78.46)$

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , $\bar{X}=72.5\%$ , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

$\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}$

From the t-table with 9 degree of freedom for $\frac{\alpha}{2}=0.005$

$t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}$

$t_{n-1,\frac{\alpha}{2}}=3.250$

The 99% confidence interval is given by,

$CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}$

$CI=72.5 \pm 5.96$

$CI=(72.5+5.96),(72.5-5.96)$

$CI=(66.54,78.46)$

8 0

3 years ago

The mayor of a town believes that over 47G% of the residents favor construction of an adjoining community. Is there sufficient e

photoshop1234 [79]

Answer:

There is sufficient evidence at the 0.05 level

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

Step-by-step explanation:

percentage favoring construction of adjoining community = 47%

level = 0.05

To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

5 0

3 years ago

I NEED THE ANSWER NOW

patriot [66]

Answer:

The last one

Step-by-step explanation:

68/5 - 22/5 = 46/5 = 9 1/5

3 0

2 years ago

Read 2 more answers

Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closin

worty [1.4K]

Answer:

For 4 years the money was in the account .

Step-by-step explanation:

Formula

$Simple\ interest = \frac{Principle\times Rate\times Time}{100}$

As given

Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year.

She earned $299 in interest before closing the account.

Principle = $1300

Rate = 5.75%

Simple interest = $299

Putting all the values in the formula

$299 = \frac{1300\times 5.75\times Time}{100}$

$Time= \frac{299\times 100}{1300\times 5.75}$

$Time= \frac{29900\times 100}{1300\times 575}$

$Time= \frac{2990000}{747500}$

Time = 4 years

Therefore for 4 years the money was in the account .

8 0

3 years ago

Write the equations of the line

Basile [38]

Look at the picture it explains the answer

5 0

3 years ago