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DiKsa [7]
3 years ago
14

in a local fitness club 32% of the members lifted weights, 41% preferred aerobics and 6%preferred both.if a member is chosen at

random, find the probability that the member prefers another method neither weights nor aerobics to exercise

SAT
1 answer:
castortr0y [4]3 years ago
3 0
<span>Members lifted weights: W=32%
</span><span>Members preferred aerobics: A=41%
</span>Members preferred both: B=6%
Members lifted weights only: Wo=W-B=32%-6%→Wo=26%
Members preferred aerobics only: Ao=A-B=41%-6%→Ao=35%
F<span>ind the probability that the member prefers another method neither weights nor aerobics to exercise: N=?

N=100%-Wo-Ao-B
N=100%-26%-35%-6%
N=100%-67%
N=33%

Answer: T</span>he probability that the member prefers another method neither weights nor aerobics to exercise is 33%
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Answer:

the element must be in the fifth, sixth, or seventh energy shells.

Explanation:

Because the first ionization energy is less than calcium's, the element must be larger and in the next energy shell. Calcium is in the fourth energy shell, so the element must be in the fifth, sixth, or seventh energy shells.

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3 years ago
The dnsity of aluminum is 2. 70 g/mL. if the mass of a piece of aluminum is 244 grams, what is the volume of the aluminum
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27.0 g

Explanation:
The density of a substance tells you the mass of exactly one unit of volume of said substance.
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The answer is rounded to three sig figs.
8 0
3 years ago
Determine whether the geometric series 1/54 + 1/9 + 2/3 + 4 + ... converges or diverges, and identify the sum if it exists.
maria [59]

The geometric series 1/54 + 1/9 + 2/3 + 4 + ... diverges. The sum cannot tbe found.

<h3>What is geometric series?</h3>

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

The given series is divergent type. The sum of any geometric series can be find out using the formula

S =a (1-r) where r is the common ratio. In this series, there is no common ratio.

Thus, the series is divergent and sum doesn't exist.

Learn more about geometric series.

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7 0
2 years ago
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James bennett also allocates wealth between youth and old age. He has no cash currently (in his youth), but will inherit $3000 i
Anvisha [2.4K]

The present value (PV) of $15,254.24 is the most James bennett can consume in his youth.

<u>Given the following data:</u>

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  • Interest rate = 18%
  • Investment opportunity (youth) = $12,000
  • Investment opportunity (old age) = $15,000

To calculate the most James bennett can consume in his youth:

First of all, we would determine the future value of James bennett from his investment and inheritance as follows:

FV = 15000 + 3000

FV = $18000

Mathematically, the most James bennett can consume in his youth is given by this formula:

PV = \frac{FV}{(1+i)^n}

Substituting the given parameters into the formula, we have;

PV = \frac{18000}{(1+0.18)^1}\\\\PV = \frac{18000}{1.18}

PV = $15,254.24

Therefore, the present value (PV) of $15,254.24 is the most James bennett can consume in his youth.

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