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2 years ago

The work in an office takes 150 hours to complete every week.

Mathematics

1 answer:

Eva8 [605]2 years ago

3 0

Answer: A minimum of 5 people will be needed.

Step-by-step explanation:

150/32 = 4.6875

You can't have a partial person, so round up to 5.

It may be possible to have 4 employees working 32 hours and another working 22 hours, but that is not what the question asks exactly. That is still 5 people.

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What's 876 rounded to the nearest 10?

Vikentia [17]

876 rounded to the nearest 10 is 880

7 0

3 years ago

Read 2 more answers

Elise goes to an exercise class every Wednesday night. 45% of the students in the class are men. If there are 20 students in the

a_sh-v [17]

There are 9 men in the class

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3 years ago

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

vladimir1956 [14]

Answer:

a) P(X ≤ 2) = 0.87

b) P(X ≥ 5) = 0.01

c) P(1 ≤ X ≤ 4) = 0.71

d) P ( X = 0 ) = 0.28

e) σ(X) = 1.09 , E(X) = 1.25

Step-by-step explanation:

Given:

- Let X = the number of defective boards in a random sample of size n = 25, so X ~ Bin(25, 0.05)

Where, n = 25 and p = 0.05

Find:

(a) Determine P(X ≤ 2).(b) Determine P(X ≥ 5).(c) Determine P(1 ≤ X ≤ 4).(d) What is the probability that none of the 25 boards is defective?(e) Calculate the expected value and standard deviation of X.

Solution:

- The probability mass function for a binomial distribution is given by:

P ( X = x ) = nCr * (p)^r * ( 1 - p )^(n-r)

a) P(X ≤ 2):

P(X ≤ 2) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 )

= (0.95)^25 + 25*0.05*0.95^24 + 25C2*0.05^2*0.95^23

= 0.87

b) P(X ≥ 5):

P(X ≥ 5) = 1 - [P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

= 1 - [ 0.87 + 25C3*0.05^3*0.95^22 + 25C4*0.05^4*0.95^21]

= 1 - 0.98994

= 0.01

c) P(1 ≤ X ≤ 4):

P(1 ≤ X ≤ 4) = P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

= ( 0.87 - 0.95^25) + 0.11994

= 0.71

d) P( X = 0 )

P ( X = 0 ) = 0.95^25 = 0.28

e) E(X) & σ(X):

E(X) = n*p

E(X) = 25*0.05 = 1.25

σ(X) = sqrt ( Var (X) )

σ(X) = sqrt ( n*p*(1-p) ) = sqrt ( 25*0.05*0.95 )

σ(X) = 1.09

4 0

2 years ago

The polynomial p(x) = x3 – 6x2 + 32 has a known factor of (2 - 4).

Dima020 [189]

Answer:

x3-6x2+32

Step-by-step explanation:

7 0

2 years ago

what is the total annual dividend received from owning 50 shares of stock A, If Company A Issues a $0.10 quarterly dividend to i

Dafna1 [17]

The total annual dividend which is received from owning 50 shares of stock A, when Company A Issues a $0.10 quarterly dividend to its shareholders, is $20.

<h3>What is market value?</h3>

Market value is the current price of a product, company, or something consorting to the stock of the market.

The total annual dividend received from owning 50 shares of stock A has to be found out when Company A Issues a $0.10 quarterly dividend to its shareholders.

Quarterly dividend is paid in each three month of the year.
The dividend is paid 4 times in a year.

For each quarter, the payment of dividend is,

$0.10\times50\\5$

In a year,

$5\times4\\20$

Thus, the total annual dividend which is received from owning 50 shares of stock A, when Company A Issues a $0.10 quarterly dividend to its shareholders is $20.

Learn more about the market value here;

brainly.com/question/8084221

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5 0

2 years ago