You earn $15n$15n dollars for mowing $n$n lawns. How much do you earn for mowing 1 lawn? 7 lawns?

Elliott is counting the change from a class fundraiser. He has half as many quarters as nickels, and he has 7 fewer dimes than n

Akimi4 [234]

Answer: He should have translated the scenario as value of all dimes = value of all

Step-by-step explanation:

5 0

2 years ago

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An investment firm offers three types of equity investments,

Fudgin [204]

Answer:

The expected value of the total return rate for the firm's clients is C. 7.4%

Step-by-step explanation:

1. Let's review all the information given for solving the question:

Type of equity investments = A, B and C

Percentage of investment in each type of equity = 30% in A, 50% in B and 20% in C.

Rates of return of each type of equity investment = 10% for A, 6% for B and 7% for C.

2. Let's find the expected value of the total return rate for the investment firm:

Return rate for each type of investment = Percentage of investment * Rate of return

For A = 30% * 10% = 0.3 * 0.1 = 0.03

For B = 50% * 6% = 0.5 * 0.06 = 0.03

For C = 20% * 7% = 0.2 * 0.07 = 0.014

Total return rate = Return rate for A + Return rate for B + Return rate for C

Total return rate = 0.03 + 0.03 + 0.014 = 0.074

Total return rate = 0.074 * 100 = 7.4%

The expected value of the total return rate for the firm's clients is C. 7.4%

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2 years ago

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John Birks "Dizzy" Gillespie (1917-1993) was a trumpeter and was extremely influential in the development of bebop. Also an acco

Nikitich [7]

Answer:

"Ambassador of Jazz"

Explanation:

John Birks "Dizzy" Gillespie (1917 – 1993) is recognized as an extraordinary trumpet player who had tremendous influence in the modern jazz and the development of the new music style called bebop.

Bebop required instrumental virtuosity and creativity to improvise as it involves fast tempo, and numerous of rapid changes of chords and keys. Personal characteristics that Gillispie had in excess.

As you can find in the internet, the nickname of "Ambassador of Jazz" was given to him in 1956, during a State Department tour of the Middle East that he succesfully organized.

Gillespie was a leader in music and an innovator who greatly influenced the musical development of this genre. He played along with other important jazz and bebop players of his time.

3 0

2 years ago

Tessa had $90 in her checking account. She paid her cable/internet bill for $60. She deposited $50 from her part-time job before

Lady bird [3.3K]

90-60+50-65=15

$15 in her account

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2 years ago

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The inside diameter of a randomly selected piston ring is a random variable with mean value 13 cm and standard deviation 0.08 cm

sweet-ann [11.9K]

Answer:

a) P(12.99 ≤ X ≤ 13.01) = 0.3840

b) P(X ≥ 13.01) = 0.3075

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the cental limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .