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Volgvan
4 years ago
8

For every $2 Alice spent on materials, she could make 5 coasters. She made 60 coasters and sold them at the York Beach Fair, cha

rging $5 for 2 coasters. What was her profit?
Please share your strategy and show you work along with explaining your work.
Mathematics
1 answer:
iragen [17]4 years ago
4 0
$2 = 5 coasters

x = 60 coasters

60 / 5 = 12

12 x $2 = $24

$24 = 60 coasters



$5 = 2 coasters

60 / 2 = 30

30 x $5 = $150



$150 - $24 = $126

$126 in profit
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The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 21 people reveals the mean yearly consum
PIT_PIT [208]

Correct question is;

The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 21 people reveals the mean yearly consumption to be 74 gallons with a standard deviation of 16 gallons.

a. What is the value of the population mean? What is the best estimate of this value?

b. Explain why we need to use the t distribution. What assumption do you need to make?

c. For a 90 percent confidence interval, what is the value of t?

d. Develop the 90 percent confidence interval for the population mean.

e. Would it be reasonable to conclude that the population mean is 68 gallons?

Answer:

A) Best estimate = 74 gallons

B) because the population standard deviation is unknown. The assumption we will make is that the population follows the normal distribution.

C) t = 1.725

D) 90% confidence interval for the population mean is (67.9772, 80.0228) gallons

E) Yes

Step-by-step explanation:

We are given;

Sample mean; x' = 74

Sample population; n = 21

Yearly Standard deviation; s = 16

A) We are not given the population mean.

So the closest estimate to the population mean would be the sample mean which is 74.

B) We are not given the population standard deviation and as such we can't use normal distribution. So what is used when population standard deviation is not known is called t - distribution table. The assumption we will make is that the population follows the normal distribution.

C) At confidence interval of 90% and DF = n - 1 = 21 - 1 = 20

From t-tables, the t = 1.725

D) Formula for the confidence interval is;

x' ± t(s/√n) = 74 ± 1.725(16/√21) = 74 ± 6.0228 = 67.9772 or 80.0228

Thus 90% confidence interval for the population mean is (67.9772, 80.0228) gallons

E) 68 gallons lies within the range of the confidence interval, thus we can say that "Yes, it is reasonable"

8 0
3 years ago
Based on the 2009 season, the Texas Rangers have a winning percentage of .533. Use the binomial model to find the probability th
Naddik [55]

Answer:

0.128

Step-by-step explanation:

We know the probability for any event X is given by,

P(X=x)=\binom{n}{x}\times p^{n-x}\times q^{x},

where p is the probability of success and q is the probability of failure.

Here, we are given that p = 0.533.

Since, we have that q = 1 - p

i.e. q = 1 - 0.533

i.e. q = 0.467

It is required to find the probability of 4 wins in the next 5 games i.e. P(X=4) when n = 5.

Substituting the values in the above formula, we get,

P(X=4)=\binom{5}{4}\times 0.533^{5-4}\times 0.467^{4}

i.e. P(X=4)=5 \times 0.533 \times 0.048

i.e. P(X=4)=5 \times 0.533 \times 0.048

i.e. i.e. P(X=4)=0.128

Hence, the probability of 4 wins in the next 5 games is 0.128.

8 0
3 years ago
Read 2 more answers
The lines y=3x-1 and y=ax+2 are perpendicular if a=___
mezya [45]

Answer:

a = \frac{-1}{3}.

Step-by-step explanation:

The equation of line in the form .

y = mx + c

Where m is the slope and c is the y- intercept .

As given

The lines y=3x-1 and y=ax+2 are perpendicular .

Here 3 is slope for equation of line  y=3x-1 and a is slope for equation of line

y=ax+2 .

Now by using properties of the perpendicular lines property .

When two lines are perpendicular than slope of one line is negative reciprocal of the other line .

Thus

a = \frac{-1}{3}

Therefore a = \frac{-1}{3}.

8 0
3 years ago
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A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, s
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3 years ago
A sweater that regularly sold for $52 id now on sale at 30% off. what is the sale price?
pochemuha

Since the sweater is now 30% off, that means it is selling for 70% of it's original price ( 100% - 30% = 70%).


Multiply the original price by 70%:


52 x 0.70 = 36.40


The sale price is $36.40

8 0
4 years ago
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