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Archy [21]
2 years ago
7

An investigation of a number of automobile accidents revealed the following information:

Mathematics
1 answer:
seropon [69]2 years ago
3 0

Answer:

59 accidents were investigated.

Step-by-step explanation:

The question above is a probability question that involves 2 elements: causes of accidents.

Let

A = Alcohol

E = Excessive speed

In the question, we are given the following information:

18 accidents involved Alcohol and Excessive speed =P(A ∩ E)

26 involved Alcohol = P(A)

12 accidents involved excessive speed but not alcohol = P( E ) Only

21 accidents involved neither alcohol nor excessive speed = neither A U B

We were given P(A) in the question. P(A Only) = P(A) - P(A ∩ E)

P(A Only) = 26 - 18

= 8

So, only 8 accident involved Alcohol but not excessive speed.

The Total number of Accidents investigated = P(A Only) + P( E only) + P(A ∩ E) + P( neither A U B)

= 8 + 12 + 18 + 21

= 59

Therefore, 59 accidents were investigated.

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Mike drinks three 12-ounce servings of sweet tea per day.
Nat2105 [25]

Answer:

2 and a half cup

Step-by-step explanation:

A detailed look at the image attached will provide further explanation.

5 0
2 years ago
Yukiko has 10,000 cubic centimeters of sand in a bag.She turns the pyramid shown upside down and pours the sand into it .Wjat fr
stepan [7]
She can fill 5/12 of the pyramid.

The volume of a pyramid is given by the formula 
V = 1/3lwh.  Using our information, we have:

V = 1/3(40)(30)(60) = 24000 cm³

She has 10,000 cm³ of sand; 10000/24000 = 5/12.
7 0
2 years ago
A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be
Andrei [34K]

Answer:

\$6,082.70  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$15,300\\r=14.25\%=0.1425\\x=6\ years

substitute in the formula

V=15,300(1-0.1425)^{6}  

V=15,300(0.8575)^{6}  

V=\$6,082.70  

3 0
3 years ago
Apply the distributive property to factor out the greatest common factor 16g+20h
UkoKoshka [18]

Answer:

4(4g+5h)

Step-by-step explanation:

Factor out the 4.

5 0
2 years ago
Type the correct answer in the box. Round your answer to the thousandth place.
Alexandra [31]

Answer:

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35

Accuracy of the test of emissions level = 85% = 0.85

2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?

These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:

Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65

Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)

Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:

0.65 * 0.2975 = 0.193375

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place

MARK BRAINLIEST PLS

5 0
2 years ago
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