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Norma-Jean [14]
3 years ago
12

Josiah purchased three cheeseburgers for 1.59$ each and two milkshakes for 3.25$ each. If sales tax is 7.25%, what is the total

of Josiah's purchase? Round to the nearest hundredths

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0
The sales tax is the additional cost with a value of a fraction of the gross cost. Let's compute first the gross cost:

Gross cost = 3($1.59) + 2($3.25) = $11.27
The sales tax is, therefore, 7.25% of $11.27.
Sales Tax cost = $11.27(0.0725) = $0.817

The total purchase is equal to the gross cost and the sales tax cost.
Total Purchase Cost = $11.27 +  $0.817 = $12.09
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An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What pr
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Answer:

2.28% of tests has scores over 90.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 80, \sigma = 5

What proportion of tests has scores over 90?

This proportion is 1 subtracted by the pvalue of Z when X = 90. So

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

Z = \frac{90 - 80}{5}

Z = 2

Z = 2 has a pvalue of 0.9772.

So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.

8 0
3 years ago
An angle measures 3.2° less than the measure of its complementary angle. What is the measure of each angle?
cupoosta [38]

Answer:

<h2>        43.4° and 46.6°</h2>

Step-by-step explanation:

x   - measure of angle

x + 3.2°   - measure of its complementary angle

Complementary angles adds to 90°

x + x + 3.2° = 90°

2x = 90° - 3.2°

2x = 86.8°

 x = 86.8°÷2

 x = 43.4°

x+3.2° = 43.4° + 3.2° = 46.6°

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3 years ago
If f(3)=2x^3 -2 , what is the value of f(2)
iris [78.8K]

I'm not sure about this but will give it a try:

Let f(n) = 2xⁿ - 2

Then f(3) = 2x³ - 2

So, f(2) = 2x² - 2

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3 years ago
28 students are in Ms.Whitfield's class. 22 students passed their recent test. What percentage passed the test? Answer to the ne
nirvana33 [79]

22/28 converted to a percentage is 78.6%. (rounded to the nearest tenth)

78.6% of the class passed the test.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

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3 years ago
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Answer:

Step-by-step explanation:

22

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