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nexus9112 [7]
2 years ago
5

I’m stuck on this question. any help would be greatly appreciated

Mathematics
1 answer:
Mademuasel [1]2 years ago
4 0

Using the Pythagorean theorem we get:

y^2+8^2=12^2.

Simplifying the above result we get:

y^2+64=144.

Subtracting 64 from the above equation we get:

\begin{gathered} y^2+64-64=144-64, \\ y^2=80. \end{gathered}

Therefore:

y=\sqrt{80}\approx8.9.

Answer:

y=8.9.

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Krista has a quiz today. There are 4 questions with 4 options. Each question only has one correct answer. She wants to guess and
Lyrx [107]

Answer:

The probability is 0.258

Step-by-step explanation:

In this question, we want to know the probability of Krista getting exactly 3 out of the options she chooses right.

For all the questions, there are 4 questions with 4 options each

Total number of options is 4 * 4 = 16 options

there are 3 wrong options and one correct option per question. Total number of correct option is 4 and the total number of wrong options is 12

Probability of selecting a wrong option is 12/16 = 3/4 while the probability of selecting a correct option is 1/4

Thus, we can use a Bernoulli approximation to get this probability of getting three right.

let the probability of selecting a correct option be p and that of a wrong option be a.

Probability of selecting exactly three correct ones will be;

P(r = 3) = nCr p^r q^(n-r)

where n is the total number of options and r is the number of options we are selecting to be correct.

The probability = 12C3 * (1/4)^3 * (3/4)^9

= 220 * 0.015625 * 0.075084686279 = 0.258

7 0
4 years ago
A village loses 14% of its goats in a flood and 6% of the remainder die from dieseses.given that the number of goats left is 808
Stella [2.4K]

Answer:

The original number of goats in the village is 6467.

Step-by-step explanation:

First Sum of the given percentage

i.e.,

14% + 6% = 20%

Now, The 20% of the given no. of goat is,

8084 × 20/100 = 1616

Now,

8084 - 1616 = 6467

Thus, The original number of goats in the village is 6467.

 

<u>-TheUnknownScientist</u><u> 72</u>

3 0
3 years ago
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Which of the following are NOT the lengths of the sides of a triangle?
Evgesh-ka [11]
2,3,6 because 2 and 3 cant equal 6

7 0
3 years ago
Find the area of a triangle with sides a=5, b=8 and c=11
Lynna [10]

Answer:

440

Step-by-step explanation:

5x8=40

40x11=440

Have a good day :P :P

5 0
3 years ago
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Which cylinders have the same volume as the cylinder below? Check all that apply. A cylinder with height of 32 meters and diamet
Vladimir79 [104]

Answer:

10054.4m^3

Step-by-step explanation:

Given data

Height= 32m

Diameter= 20m

Radius= 10m

The expression for the volume of a cylinder is given as

V= πr^2h

Substitute

V= 3.142*10^2*32

V= 3.142*100*32m^3

Hence the volume is 10054.4m^3

6 0
3 years ago
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