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3 years ago

Question 1................

Mathematics

2 answers:

faltersainse [42]3 years ago

7 0

Answer: D

Step-by-step explanation:

If my calculations are right, it should be d

Evgesh-ka [11]3 years ago

7 0

The area she be option d

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Which of the following is a square root of 3(cos(4pi/9)+i sin(4pi/9))

Margaret [11]

Answer:

— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.

Step-by-step explanation:

6 0

3 years ago

A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.

dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0

3 years ago

Find the volume of the figure. 2.25 m 4 m 2.5 m no

liberstina [14]

Given:

Given that the figure is a triangular prism.

The length of the prism is 4 m.

The base of the triangle is 2.5 m.

The height of the triangle is 2.25 m.

We need to determine the volume of the triangular prism.

Volume of the triangular prism:

The volume of the triangular prism can be determined using the formula,

$V=\frac{1}{2}bhl$

where b is the base of the triangle,

h is the height of the triangle and

l is the length of the prism.

Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;

$V=\frac{1}{2}(2.5)(2.25)(4)$

$V=\frac{1}{2}(22.5)$

$V=11.25 \ m^3$

Thus, the volume of the triangular prism is 11.25 m³

4 0

3 years ago

Last year Billy weighed 75kg. This year he weighed 90kg. With what percentage did his weight increase. SHOW ALL WORK!!!

k0ka [10]

Answer:

20%

Step-by-step explanation:

90 - 75 = 15

15 ÷ 75 = 0.2

0.2 x 100% = 20%

8 0

4 years ago

Midsegment of triangle Find X

Charra [1.4K]

Answer:

$10 = x$

Step-by-step explanation:

This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of $4x + 20$ and set that expression equal to the midsegment:

2x + 10 = 3x

-2x - 2x

____________

$10 = x$

You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.

I am joyous to assist you anytime.

4 0

3 years ago

Question 1................​

Question 1................