Answer:
5%
Step-by-step explanation:
so, for 3 questions he has a 1 in 4 chances to get it right.
4³ chances, so a 1/4³ probability.
and he has one other question with a 3 in 4 chance to get it wrong.
a 3/4 probability.
that is in total
1/4³ × 3/4 = 3/4⁴
and now we have 4 over 3 combinations as possibilities to get 3 right and 1 wrong.
that is 4! / (3! × (4-3)!) = 4
so our total probability is
4 × 3/4⁴ = 3/4³ = 3/64 ≈ 0.05 = 5%
in other words, the expected quote for him to achieve that result is in 5 out of 100 (or 1 out of 20) attempts.
Answer:
0
Step-by-step explanation:

Answer: a) 1%
<u>Step-by-step explanation:</u>
1st draw and 2nd draw and 3rd draw and 4th draw
x
x
x
= 
= 0.01
= 1%
Given:
Cylindrical tank volume : 14,130 in³
smaller cylinder : 25 pcs
radius of small cylinders: 3 inches.
Volume of a cylinder = π r² h
14,130 in³ ÷ 25 pcs = 565.20 in³ volume per small cylinder.
565.20 in³ = 3.14 * (3in)² * h
565.20 in³ = 3.14 * 9in² * h
565.20 in³ = 28.26 in² * h
565.20 in³ ÷ 28.26 in² = h
20 in = h
The height of the small cylinder is 20 inches.
Based on the calculations, the length of side CM is equal to 4 units.
<h3>How to calculate the
length of side CM?</h3>
First of all, we would determine the measure of angle B by applying the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
<u>Given the following data:</u>
A = BC = 5
B = AC = 4√2
C = AB = 7
Substituting the given parameters into the formula, we have;
(4√(2))² = 5² + 7² - 2 × 5 × 7 × cosB
cos(B) = ((4√(2))² - (5² + 7²))/(-2×5×7)
cos(B) = 0.6
B = cos⁻¹(0.6)
B = 53.13°.
Now, we can find side CM by using sine trigonometry:
sin(B) = CM/BC
CM = BC × sin(B)
CM = 5 × sin(53.13°)
CM = 5 × 0.8
CM = 4 units.
Read more on cosine law here: brainly.com/question/11000638
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