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fredd [130]
3 years ago
6

Susannah is buying lunch for her friends at a restaurant. The bill is $50, and she wants to

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

she tips $9

Step-by-step explanation:

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You use a crowdfunding website to raise money. the website keeps 5% of each donation. Five of your friends each donate the same
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Each friend donates $10.

Step-by-step explanation:

If they keep 5% of all donations, 5% of $10 is $0.50 and you lose out on $2.50. With 5 friends, this equates to $10 per person.

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Consider the following 8 numbers, where one labelled x
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Step-by-step explanation:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

we see that the visible 7 numbers have a range of 50-17 = 33.

that means that x has to make sure that the range really is 69.

so, we have indeed 2 choices : x can be the lowest value (with a difference of 69 to the highest value, 50), or x can be the highest value (with a difference of 69 to the lowest value, 17).

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2 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%.

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