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snow_lady [41]
3 years ago
9

Suppose you are taking a multiple choice exam with 61 questions, each with 4 possible answers. If you were to guess at random fo

r each question, how many questions would you expect to get right
Mathematics
1 answer:
Brut [27]3 years ago
7 0

Answer:

15.25

Step-by-step explanation:

The probability of getting a question right is 1/4 because there are 4 possible answers, and you're just guessing randomly.

You can expect to get 1/4 of the questions right.

\frac{1}{4}\times 61 =15.25

You might be interested in
Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ
Anit [1.1K]

Double angle identity for sine:

\sin(2x) = 2 \sin(x) \cos(x)

\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)

Factorize the left side.

2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)

Pythagorean identity:

\cos^2(x) + \sin^2(x) = 1

\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)

so that

\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}

8 0
1 year ago
The area of a right triangle is 270 square meters. The height of the right triangle is 15 meters. What is the length of the hypo
soldi70 [24.7K]

Answer:

\sqrt{549} ≈ 23.4

Step-by-step explanation:

A = bh

270 = 15b

b = 18

Now you know the two legs, use the Pythagorean Theorem to find the value of the hypotenuse:  a² + b² = c²

15² + 18² = c²

225 + 324 = c²

c² = 549

c = √549

8 0
3 years ago
Read 2 more answers
What is the value of H
never [62]

Answer:

h = 55

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

the 2 unknown interior angles = 180 - 2h ( straight angle ), hence

the sum of the 3 angles

180- 2h + 180 - 2h + 40 = 180

400 - 4h = 180 ( subtract 400 from both sides )

- 4h = - 220 ( divide both sides by - 4 )

h = 55


6 0
3 years ago
HELP ASAP PLZ !! 15 POINTS !!
Ket [755]

the first answer common ratio is t2/t1=32/16

=2

I'm not sure of the rest

8 0
3 years ago
The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2004 there were about 1,350 fish. Write an expone
ad-work [718]

Answer:

Part 1) The exponential function is equal to y=1,350(0.95)^{x}

Part 2) The population in 2010 was  992\ fish

Step-by-step explanation:

Part 1) Write an exponential decay function that models this situation

we know that

In this problem we have a exponential function of the form

y=a(b)^{x}

where

y ----> the fish population of Lake Collins since 2004

x ----> the time in years

a is the initial value

b is the base

we have

a=1,350\ fish

b=(100\%-5\%)=95\%=0.95

substitute

y=1,350(0.95)^{x} ----> exponential function that represent this scenario

Part 2) Find the population in 2010

we have

y=1,350(0.95)^{x}

so

For x=(2010-2004)=6\ years

substitute

y=1,350(0.95)^{6}=992\ fish

7 0
3 years ago
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