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irakobra [83]
2 years ago
14

Kurt had a plate of pancakes at a diner. The bill, with tax, was $6.75. He gave the waiter a tip equal to 20% of the bill. What

is the total amount that Kurt spent at the diner? A. $1.35 B. $6.89 C. $6.95 D. $8.10
Mathematics
2 answers:
worty [1.4K]2 years ago
6 0
.20 x 6.75 = 1.35
1.35 + 6.75 = 8.10
bogdanovich [222]2 years ago
4 0

Answer:

$8.10

Step-by-step explanation:

6.75 ÷ 100 = 0.0675 x 20 = 1.35

1.35+6.75=$8.10

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Answer:

The sample size must be approximately 1067 to get a margin of error of 0.03.

Step-by-step explanation:

We are given the following in the question:

Margin of error = 0.03

Significance level = 5%

Margin of error =

z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Since, no prior proportions are given, we take

\hat{p} = 0.5

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.03 = 1.96\sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = \dfrac{1.96\times 0.5}{0.03}\\\\\\sqrt{n} = 32.67\\n = 1067.3289\approx 1067

Thus, the sample size must be approximately 1067 to get a margin of error of 0.03.

3 0
3 years ago
Write the inequality: the speed limit on Rollins road is 35 miles per hour.
Radda [10]

Answer:

x < 35 mph

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3 0
2 years ago
Given: || EIJ GJI Prove: JIK IJL
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6 0
3 years ago
A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi
Sergeeva-Olga [200]

Answer:

The lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 50

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.06.

P(X > x)  = 6% = 0.06

P( X > x) = P( z > \displaystyle\frac{x - 500}{50})=0.06  

= 1 - P( z \leq \displaystyle\frac{x - 500}{50})=0.06  

=P( z \leq \displaystyle\frac{x - 500}{50})=1-0.06=0.94  

Calculation the value from standard normal z table, we have,  

P(z < 1.555) = 0.94

\displaystyle\frac{x - 500}{50} = 1.555\\x = 577.75  

Hence, the lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

5 0
3 years ago
Mrs. Blanda's truck holds 19.7 gallons of gas. She used 4 full tanks fo gas last month and paid $3 for each gallon. How much did
Yakvenalex [24]

Answer:

$236.40

Step-by-step explanation:

Mrs. Blanda's truck holds 19.7 gallons of gas. She used 4 full tanks of gas last month.

1 full tank  holds 19.7 gallons of gas

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4 full tank = 78.8 gallons of gas used last month

She paid $3 for each gallon

We need to find the amount she paid for 78.8 gallons

78.8 * 3= 236.4

Mrs. Blanda spend on gas last month = $236.40

8 0
3 years ago
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