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marishachu [46]
2 years ago
12

Dilbert forgot to study for the multiple-choice exam. Each question has four choices and there are 50 questions. Dilbert, in his

infinite wisdom, decides to randomly guess on each problem. Find the probability for each: a) If Dilbert gets 30 or more right, he will be named the company CEO. b) If Dilbert gets 20 to 29 right, he will be promoted and get a 10% raise. c) If Dilbert gets 10 to 19 right, he will get to keep his menial job and pay. d) If Dilbert gets less than 10 right, he will be kicked out of cubicle central and unemployed.
Mathematics
1 answer:
Aloiza [94]2 years ago
4 0
1. 30 ÷ 50 = 0.6 = 6%
2. 20 ÷ 50 = 0.4 = 4%
29 ÷ 50 = 0.58 = 58%
3. 10 ÷ 50 = 0.2 = 2%
19 ÷ 50 = 0.38 = 38%
4. 5 ÷ 50 = 0.1 = 1%



I can't say for sure if these are the corrects answers, as math is not one of my better suits. But, I hope that it can somewhat help you.
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sergejj [24]

<u>Part 1)</u> Find m∠EAD

we know that

m∠EAD+m∠DAF+m∠BAF=180\° ----> by supplementary angles

solve for m∠EAD

m∠EAD=180\°-(m∠DAF+m∠BAF)

in this problem we have

m∠DAF=90\°

m∠BAF=61\°

substitute in the formula above

m∠EAD=180\°-90\°-61\°=29\°

therefore

<u>the answer part 1) is </u>

m∠EAD=29\°

<u>Part 2)</u>  Find m∠CAB

we know that

m∠CAB+m∠BAF=180\° --------> by supplementary angles

solve for m∠CAB

m∠CAB=180\°-m∠BAF

in this problem we have

m∠BAF=61\°

substitute in the formula above

m∠CAB=180\°-61\°=119\°

therefore

<u>the answer part 2) is</u>

m∠CAB=119\°

6 0
2 years ago
Read 2 more answers
The maximum recommended slope of wheelchair ramp is 1/12. A business installs a wheelchair ramp that rises 22inches over a horiz
Olin [163]

Given parameters:

Recommend wheelchari ramp slope  = \frac{1}{12}  

Rise of the new wheel chair ramp  = 22 inches

Horizontal length  = 24feet

Unknown:

Is the ramp steeper than the recommended  = ?

Slope is the ratio of rise to the horizontal distance covered

 Mathematically;

                 Slope = \frac{Rise}{horizontal distance}

Slope of the wheel chair ramp;

                covert 24 feet to inches;

        1 foot = 12 inches

        24 feet  = 24 x `12  = 288inches

Slope  = \frac{22}{288 }   = \frac{11}{144}

The two slopes being compared are;

               \frac{1}{12}  and \frac{11}{144}

The steeper of the first one 1/12. It has a higher slope compared to the second one.

4 0
2 years ago
A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 4 seconds? Remember that 1 mile
Alex73 [517]

9240ft per second

(105mi/1hr * 5280ft/1mi * 1hr/60sec)

5 0
2 years ago
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut
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(50 - x) is the amount of the 15% Alcohol solution to use. If you solve for x first.
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7 0
2 years ago
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ALGEBRA 2/ TRIG QUESTION ATTACHED Please help ❤️❤️
ss7ja [257]
Let's calculate the value of angle A and B

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tan (A+B) = sin(A+B)/cos(A+B)  with A+B = -53.13 + 112.62 = 59.49

tan (A+B) = sin(59.49)/cos(59.49) = 0.86154/0.507688 = 1.6969.

(Answer H = 56/33 = 1.6969)

7 0
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