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Inga [223]
2 years ago
14

A club with nineteen members is to choose three​ officers: ​ president, vice-president, and​ secretary-treasurer. If each office

is to be held by one person and no person can hold more than one​ office, in how many ways can those offices be​ filled?
Mathematics
1 answer:
lesya [120]2 years ago
8 0

Answer:

5,814

Step-by-step explanation:

19 × 18 × 17

5,814

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A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40% of the time. When he misses
dangina [55]

Answer:

8% or 0.08

Step-by-step explanation:

Probability of missing the first pass = 40% = 0.40

Probability of missing the second pass = 20% = 0.20

We have to find the probability that he misses both the passes. Since the two passes are independent of each other, the probability that he misses two passes will be:

Probability of missing 1st pass x Probability of missing 2nd pass

i.e.

Probability of missing two passes in a row = 0.40 x 0.20 = 0.08 = 8%

Thus, there is 8% probability that he misses two passes in a row.

5 0
2 years ago
Read 2 more answers
Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. What is
NNADVOKAT [17]

Answer:

The probability that the man is greater than 74 inches is 0.1587

Step-by-step explanation:

The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values

The standard normal variate factor (Z) is given by

Z=\frac{x-\bar {X}}{\sigma }

where

\bar{x} is mean of the data

\sigma is the standard deviation of the data

Thus corresponding to x = 74 the Z factor equals

Z=\frac{74-70}{4}=1

Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals

0.1587

6 0
2 years ago
What are these fractions in simplest form?
Anton [14]
\frac{16y^{3}}{20y^{4}} =  \frac{4}{5y}
\frac{6xy}{16y} =  \frac{3x}{8}
\frac{abc}{10abc} =  \frac{1}{10}
\frac{mn^{2}}{pm^{5}n} =  \frac{n}{pm^{4}}
\frac{12h^{3}k}{16h^{2}k^{2}} =  \frac{3h}{4k}
\frac{8x}{10y} =  \frac{4x}{5y}
\frac{24n^{2}}{28n} =  \frac{6n}{7}
\frac{30hxy}{54kxy}  =  \frac{5h}{9k}
\frac{5jh}{15jh^{3}} =  \frac{1}{3h^{2}}
\frac{20s^{2}t^{3}}{16st^{5}} =  \frac{5s}{4t^{2}}
8 0
2 years ago
Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. S
marin [14]

Answer:

Option A. 2

Step-by-step explanation:

To solve this problem we can write equations for each shirt color.

Let's call:

b = black shirts

g = gray shirts

w = white shirts

B = brown shirts

If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:

b = 3g +3     (i)

If you have 5 times more white shirts than gray shirts and gave a white shirt then:

w = 5g -1      (ii)

It has 2 times more gray shirts than brown camsas, then:

g = 2B         (iii)

It has the same amount of black and white shirts

b = w            (iv)

We want to find the number of gray shirts.

Then replace (iv) in (ii)

b = 5g -1        (v)

Now substitute (v) into (i) and clear g.

5g -1 = 3g +3\\\\5g -3g = 3 +1\\\\2g = 4\\\\g = 2

Joan has 2 gray shirts

5 0
2 years ago
Find the value of z such that 0.9722 of the area lies between −z and z. Round your answer to two decimal places.
Amiraneli [1.4K]

Answer:

-2.20 < z < 2.20

Step-by-step explanation:

You are saying the entire area = 0.9722

so    1 - 0.9722 = 0.0278

then  we want it to fit in the middle of the normal curve with center 0

so...

0.0278/2 =0.0139  this corresponds to 2.20  on the z-score chart

7 0
2 years ago
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