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Gre4nikov [31]
3 years ago
7

John made 2 quarts of juice for a school party. he said that he made 2/4 cups of juice. explain john's mistake.

Mathematics
2 answers:
alisha [4.7K]3 years ago
8 0
Given: 
2 quarts of juice for a school party 
equivalent to 2/4 cups of juice.

This is wrong. Quartz refer to the part of a gallon. It means it is 1/4 of a gallon. 
1 gallon is equivalent to 16 cups.
1/4 of a gallon is equivalent to 4 cups.

2 quarts means 2 (1/4) = 1/2 gallon
1/2 gallon is equal to 8 cups.

John must be corrected. Instead of 2/4 cups of juice, it should be 8 cups of juice.

Ivanshal [37]3 years ago
5 0

Answer:

Step-by-step explanation:

he just messed it up  

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The ratio of hotdogs to hamburgers is 8:3. if 272 hotdogs were sold how many hamburgers were sold.
Blababa [14]

Answer:

102 hamburgers

Step-by-step explanation:

Hotdogs: 8 272

Hamburgers: 3 HB

8/3=272/HB

3*272=8HB

816=8HB

HB=102

7 0
3 years ago
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\\

Finally, the confidence interval is

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)

3 0
3 years ago
Convert the following statement using an "if-then" structure.
GaryK [48]

Answer:

  D. If John owns a dog, then he owns a cat

Step-by-step explanation:

The implication p → q (if p, then q) has the same truth table as the logical expression ~p∨q. You have the expression ...

  ~(John owns a dog) ∨ (he owns a cat)

Matching parts of this expression to the components of the expression ~p∨q, we see we can choose ...

  • p = John owns a dog
  • q = he owns a cat

and put those into the structure of the implication: if p, then q.

  If John owns a dog, then he owns a cat. . . . . matches choice D

6 0
2 years ago
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Bezzdna [24]

Answer:

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Step-by-step explanation:

hope this helps,

If you like my answer please give brainliest,

Happy Holidays!

6 0
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Can you turn those into equations so I can graph them?
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these are the answers to all systems

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