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Elina [12.6K]
3 years ago
8

Manuel bought a shirt and a sweater for a total price of $65. The price of the sweater was $5 more than twice the price of the s

hirt. What was the price of the shirt?
$30

$20

$13

$45
Mathematics
1 answer:
Annette [7]3 years ago
3 0

Answer:

$20

Step-by-step explanation:

Since we are talking about the unknown cost of a shirt AND a sweater, we are dealing with 2 unknowns.  However, we can only have one unknown in a single equation or we cannot solve it.  The cost of the sweater is based on the cost of the shirt, so the shirt will be our "main" unknown.

Cost of the shirt:  x

Since the sweater is $5 more than (this is addition) twice (that is 2 times) the cost of the shirt, the expression for the sweater is 2x + 5

The cost of both is (equals) 65.

x + 2x + 5 = 65 and

3x + 5 = 65 and

3x = 60 so

x = 20

The shirt cost $20 so the sweater had to cost 65 - 20 = 45

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Which two teachers received equivalent ratios of apples from their total number
ioda

Answer:

Both Brown and Hearn recived the same ratio of apples form their students.

Step-by-step explanation:

Divide the number of students by the number of apples to get 1 apple per 14 students for Brown and Hearn.

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SOLUTION:

Given the following table:

               Show A   Show B     Total

Men     -     76           124             200

Women - 112           88          200

Relative frequency of men who watch show A: 76/200 = 0.38

Relative frequency of men who watch show B: 124/200 = 0.62

Relative frequency of women who watch show A: 112/200 = 0.56

Relative frequency of women who watch show B: 88/200 = 0.44

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FINAL ANSWER:

               Show A   Show B  

Men    -      0.38    0.62      

Women -  0.56    0.44                  

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4 0
3 years ago
The mass of hintos math book is 4458 grams. What is the mass of 4 math books in kilograms
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Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam
Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:  

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

The confidence interval is given by

CI = \bar{x} \pm MoE\\

Where \bar{x} is the mean and MoE is the margin of error given by

MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\

Where σ is the standard deviation, n is the sample size and z_{\alpha/2} is the z-score corresponding to 95% confidence level.

z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96

MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\

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CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

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Your answer should be 6.4 if you attempt to solve this. I hope this helps your question!
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