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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

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A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.
mylen [45]

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

A(t) = A(0)(1 - r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that A(0) = 10, r = 0.03

So

A(t) = A(0)(1 - r)^t

A(t) = 10(1 - 0.03)^t

A(t) = 10(0.97)^t

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

A(24) = 10(0.97)^{24} = 4.81

The weight of the block of ice after 1 day is of 4.81 pounds.

6 0
3 years ago
Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units
VLD [36.1K]
Radius = 1/2 * diameter = 5

Equation  is (x - (-4))^2 + (y - 9)^2 = 5^2

(x + 4)^2 + (y - 9)^2 = 25  is the answer
8 0
3 years ago
Read 2 more answers
What is the value of (f*g)(-5)<br> f(x)=2x+1 ; g(x)=x^2
nikitadnepr [17]
F(-5) = 2(-5) + 1 = -9
g(-5) = (-5)^2 = 25

(f*g)(-5) = -9(25) = -225
4 0
3 years ago
If 300 gallons of water fill a swimming pool in 20 minutes, how many gallons fill the swimming pool in 25 minutes?
lapo4ka [179]

Answer:

375 gallons in 25 minutes

Step-by-step explanation:

first decide how many gallons in one minute

300/20 = 15 gallons in one minute

next multiply 15 x 25 minutes. You get 375 gallons in 25 minutes

8 0
3 years ago
PLZ ANSWER ASASP ALMOST DUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Burka [1]

Answer:

D) The third side could be 4 meters long.

Step-by-step explanation:

The third side of a triangle must be greater than the difference and less than the sum of the other two sides.

5-4=1

5+4=9

So the third side must be GREATER THAN 1 and LESS THAN 9.  (1<x<9)

Therefore, the answer can't be A or C.  The second one <em>could </em>be correct, depending on how much less than 4 it is.  But the last one is definitely correct.

5 0
3 years ago
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