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jok3333 [9.3K]
1 year ago
10

"A magician performing a magic act has asked for 2 volunteers from the audience to help with his routine. If there are 250 peopl

e in the audience, which of the following expressions represents the number of possible pairs of volunteers?"

Mathematics
2 answers:
storchak [24]1 year ago
9 0

Number of people in the audience = 250

     Number of volunteers required to perform the magic act from the audience =2

As 2 people can be selected from 250 people by using the properties of combination as order of choosing people is not important.

Possible number of ways = _{2}^{250}\textrm{C}

                      = \frac{250!}{2!\times 248!}=249 \times 125=

                      = 31125 ways




Gala2k [10]1 year ago
5 0
The answer should be 250 objects taken 2 at a time

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In a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979,
Fed [463]

Answer:

we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years

Step-by-step explanation:

Given that in a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979, two groups of childless wives aged 25 to 29 were selected at random, and each was asked if she eventually planned to have a child. One group was selected from among wives married less than two years and the other from among wives married five years.

Let X be the group married less than 2 years and Y less than 5 years

                         X        Y     Total

Sample size   300   300    600

Favouring       240   288    528

p                      0.8     0.96  0.88

H_0: p_x=p_y\\H_a: p_x>p_y

p difference = -0.16

Std error for difference = \sqrt{0.88*0.12/600} =0.01327

Test statistic = p difference/std error=-6.03

p value <0.000001

Since p is less than alpha 0.05 we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years

4 0
2 years ago
With food prices becoming a great issue in the world; wheat yields are even more important. Some of the highest yielding dry lan
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Answer:

Option E) 61.6

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100 bushels per acre

Standard Deviation, σ = 30 bushels per acre

We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X>x) = 0.90

We have to find the value of x such that the probability is 0.90

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 100}{30})=0.90  

= 1 -P( z \leq \displaystyle\frac{x - 100}{30})=0.90  

=P( z \leq \displaystyle\frac{x - 100}{30})=0.10  

Calculation the value from standard normal table, we have,  

P(z

\displaystyle\frac{x - 100}{30} = -1.282\\x = 61.55 \approx 61.6  

Hence, the yield of 61.6 bushels per acre or more would save the seed.

7 0
1 year ago
A school district has a student population of $6,734 students. If the maximum class size is 25 students. How many more teacher m
emmasim [6.3K]

Answer:

53 teachers

Step-by-step explanation:

Basically, what we need to do here is to find how many teachers there need to be, first. If there are 6,734 students in the school district and if maximum class size is 25, then the number of teachers needed is:

6,734 / 25 = 269.36

Of course, it's obvious that we can't have a decimal number of teachers, so we need to find integer (269 or 270).

If we take 269 teachers and 25 students per class, we get:

269 • 25 = 6,725 students, which is not enough, since there are 6,734 students.

That means that the number of teachers needed is 270.

It is given that there are already 217 teachers, meaning that 270-217=53 teachers have to be supplemented.

8 0
1 year ago
Isiah just accepted a job that pays an annual salary of $48,800 and was promised a 7.75% raise per year for the next five years
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Answer:

Umm higher than the salary

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The length of a rectangle is 3x^4 and the width is 5x^5. What is the<br> area of the rectangle? *
kogti [31]

\boxed{\underline{\blue{\textrm{Area of Rectangle = l × b}}}}

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  • width of Rectangle = 5x⁵

Area = 3x⁴ × 5x⁵

Area of rectangle = 15x⁹

4 0
1 year ago
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