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jok3333 [9.3K]
3 years ago
8

Help within 20mins Pls

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0
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A quiz has 4 multiple-choice questions with 4 possible answer choices each. For each question, there is only 1 correct answer.
Katarina [22]

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.

8 0
3 years ago
Help me pls OMGGGGGG
Alenkasestr [34]

Answer:

0

Step-by-step explanation:

\sqrt{2 \times 5 \times 5 } -  \sqrt{2 \times 3 \times 3} -  \sqrt{2 \times 2 \times 2} \\ 5 \sqrt{2}  - 3 \sqrt{2} - 2 \sqrt{2}  \\ (5  - 3 - 2) \sqrt{2}  \\ 0 \times  \ \sqrt{2}   \\ 0

8 0
3 years ago
Read 2 more answers
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.
N76 [4]

Answer:   a) 1%

<u>Step-by-step explanation:</u>

1st draw and 2nd draw and 3rd draw and 4th draw

   \dfrac{13}{52}         x         \dfrac{12}{51}          x         \dfrac{11}{50}         x        \dfrac{39}{49}      =     \dfrac{66,924}{6,497,400}

= 0.01

= 1%

4 0
3 years ago
Read 2 more answers
A cylindrical tank holds 14,130 in3 of water. Ida empties the tank into 25 identical smaller cylinders, each with a radius of 3
ASHA 777 [7]
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.
8 0
4 years ago
Given: ΔABC, CM intersects AB<br><br>BC = 5, AB = 7<br><br>CA = 4<img src="https://tex.z-dn.net/?f=%5Csqrt2" id="TexFormula1" ti
finlep [7]

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

#SPJ1

4 0
2 years ago
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