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Anastaziya [24]
4 years ago
5

Compute the permutations and combinations. From a committee consisting of 5 men and 6 women, a sub-committee is formed consistin

g of 4 men and 3 women. How many different subcommittees are possible? 360 600 100
Mathematics
1 answer:
kolbaska11 [484]4 years ago
3 0

Answer:

360

Step-by-step explanation:

Multiply them all

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A rectangular garden has vertices at (4, 3), (6, 3), (6, 9), and (4, 9). Plot each vertex of the garden.
kati45 [8]

Answer:

Step-by-step explanation:

A rectangular garden has vertices at

(x = 4, y = 3), (x = 6, y = 3), (x = 6, y = 9), and (x = 4, y = 9).

To plot each vertex of the garden find on the graph the x and y coordinate of the point and mark the point.

3 0
2 years ago
If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000
zavuch27 [327]

Answer:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

X \sim N(100000,20000)  

Where \mu=100000 and \sigma=20000

We are interested on this probability

P(X>117000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

7 0
3 years ago
Mario deposits $300 in a savings account over the course of a year. He deposits money into the account throughout t next year un
Rainbow [258]

 The answer is an=2⋅ 300^n−1.

7 0
3 years ago
Which fraction is equivalent to 4 over negative 15
Artist 52 [7]

Answer:

- 4/15

Step-by-step explanation:

Just take 4 and 15 make that a fraction make the fraction a negative not the 15 because they will be the same thing no matter where you place it

7 0
3 years ago
If the vertex form of a
Delvig [45]

Answer: x = {5, 9} ; (0,45)

3 0
3 years ago
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