MATHEMATICS COLLEGE

The time taken to build a house is inversely proportional to the number of builders.If there are 6 builders, it takes 80 days to complete the house.
How many builders must be employed to build the house in just 16 days?

Answers

Answer 1

Answer:

Answer:

30 builders

Step-by-step explanation:

80÷5=16

6x5=30

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The probability that an adult possesses a credit card is .70. A researcher selects two adults at random. By assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is:
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Solve 2w2–64 = 0, where w is a real number.

Answers

Answer:

w = 4√2

Step-by-step explanation:

2w^2 - 64 = 0

=> 2w^2 = 64

=> w^2 = 32

=> w = √ 32

=> w = √ [(2 x 2) x (2 x 2) x 2]

=> w = 2 x 2 x √ 2

=> w = 4√2

Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly's current age in terms of Nancy's? Which expression represents Molly's current age in terms of Zander's? Nancy is currently 10 years old, and Zander is 14. How old is Molly?

Answers

Answer: 1.) 2n 2.) z+6 3.) 20 years old

Step-by-step explanation:

Answer:

answer one: 2n

answer two: z + 6

answer three: 20 years old

Step-by-step explanation:

edge 2020

Select each polynomial that is a perfect square.Question 5 options:

x2−10x−25

4x2−12x+9

9x2+12x+16

16x2+16x+1

Answers

Answer:

4x^2−12x+9

Step-by-step explanation:

The form of a perfect square trinomial is ...

(a +b)² = a² +2ab +b²

The first and last terms must be positive and perfect squares. The middle term must be twice the product of their roots (possibly with a minus sign).

x^2 -10x -25 . . . . -25 is not a positive perfect square

4x^2 -12x +9 . . . . 12x = 2√(4x^2·9) = 2·6x . . . . perfect square

9x^2 +12x +16 . . . 12x ≠ 2√(9x^2·16) = 2·12x

16x^2 +16x +1 . . . 16x ≠ 2√(16x^2·1) = 2·4x

A carpenter worked 10 weeks on a particular job, 51/2 days per week and 7 3/4 hours per day. How many hours did the carpenter work on the job?

Answers

Answer:

= 426 1/4 hr.

Step-by-step explanation:

5 1/2 = 5.5 Days in a week

7 3/4 = 7.75 hr. Per Day

Total hours in a week = 5.5 × 7.75 = 42.625 hr in a week

In 10 weeks = 42.625 × 10 = 426.25 hr.

A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this is still true, a researcher randomly selected 100 cardiologists and found that 36 said that they took vitamin E supplements. At α = 0.05, test the claim that 39% of the cardiologists took vitamin E supplements. A recent study said that taking too much vitamin e might be harmful how might this study make the results of the previous study invalid?

Answers

Answer:

$z=\frac{0.36 -0.39}{\sqrt{(0.39(1-0.39))/(100)}}=-0.615$

The p value for this case would be:

$p_v =2*P(z<-0.615)=0.539$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

Step-by-step explanation:

Information given

n=100 represent the random sample taken

X=36 represent the number of people that take E supplement

$\hat p=(36)/(100)=0.36$ estimated proportion of people who take R supplement