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agasfer [191]
3 years ago
15

Damian went shopping for a new pair of sneakers. Sales tax where he lives is 5.5%. The price of the pair of sneakers is $48. Fin

d the total price including tax. Round to the nearest cent.
Mathematics
1 answer:
mars1129 [50]3 years ago
5 0
Final price including tax: $50.64
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The original price of a video game is $45. What is the sale price after a 25% discount.​
Ghella [55]

Answer:

33.75

Step-by-step explanation:

5 0
3 years ago
The top-selling Red and Voss tire is rated 50,000 miles, which means nothing. In fact, the distance the tires can run until they
Anvisha [2.4K]

Answer: 0.9726

Step-by-step explanation:

Let x be the random variable that represents the distance the tires can run until they wear out.

Given : The top-selling Red and Voss tire is rated 50,000 miles, which means nothing. In fact, the distance the tires can run until they wear out is a normally distributed random variable with a \mu=67,000 miles and a \sigma= 5,200 miles.

Then , the probability that a tire wears out before 60,000 miles :

P(x  [using p-value table for z]

Hence, the probability that a tire wears out before 60,000 miles= 0.9726

8 0
3 years ago
Food A contains 150 calories in 3/4 of a serving. Food B contains 250 calories in 2/3 of a serving. Find each unit rate. Which f
Leviafan [203]
The unit rate is going to be calories per serving....calories / serving

Food A :
150 / (3/4) =
150 * 4/3 =
600/3 =
200 calories per serving

Food B :
250 / (2/3) =
250 * 3/2 =
750/2 =
375 calories per serving

Therefore, Food A has fewer calories per serving <==
5 0
3 years ago
Read 2 more answers
The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 20
pav-90 [236]

Using the normal approximation to the binomial, it is found that:

  • The mean of X is of 52 samples.
  • The standard deviation of X is of 4.2661 samples.
  • 0.0017 = 0.17% probability that less than half without any traces of pesticide.

--------------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:  

E(X) = np

And standard deviation of:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution  

Z-score formula is used, which, in a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • Each z-score has an associated p-value, which measures the percentile of measure X.

--------------------------------

  • 65% of samples had no pesticide, thus p = 0.65
  • 80 samples, thus n = 80

The mean of X is of:

E(X) = np = 0.65(80) = 52

The standard deviation of X is of:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80(0.65)(0.35)} = 4.2661

Using the approximation and continuity correction, the probability is P(X < 40 - 0.5) = P(X < 39.5), which is the p-value of Z when X = 39.5. Thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{39.5 - 52}{4.2661}

Z = -2.93

Z = -2.93 has a p-value of 0.0017, thus:

0.0017 = 0.17% probability that less than half without any traces of pesticide.

A similar problem is given at brainly.com/question/24261244

8 0
2 years ago
Wesley can use the equation y=3x to calculate how far he has walked, where y represents the number of miles walked, and x repres
arlik [135]

16.5/3 = 5.5

Step-by-step explanation:

becuase he needs to walk 16.5 miles. and he can walk 3 miles per x(hour)

you need to devide distance by speed to get time.

5 0
2 years ago
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