#14
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
 alt="0.23
10.32
2 0.26
30.15
4 0.04
A) No
6(23)-1 632).2(.26) +3 (15) + 4(84)?
O+.32+1.04 B) Yes
3 S+.64
Find the indicated probability.
11) A test consists of 10 true/false questions. To pass the test a student must answer at least 8 questions
correctly. If a student guesses on each question, what is the probability that the student will pass
11)
the test?
A) 0.044
B 0.055
C) 0.011
D) 0.989
Solve the problem.
810.S
12) The annual precipitation amounts in a certain mountain range are normally distributed with a
mean of 75 inches, and a standard deviation of 16 inches. What is the probability that the mean
annual precipitation during 64 randomly picked years will beless than 778 inches?
A) 0.5808
12)
77.8-75
2814
B) 0.4192
C) 0.0808
D) 0.9192
16
V64
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
13) A certain question on a test is answered correctly by 22% of the respondents. Estimate the
probability that among the next 150 responses there will be at most 40 correct answers.
A) 0.8997
13)
B) 0.9306
C) 0.0694
D) 0.1003
Use the normal distribution to approximate the desired probability.
14) A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict
the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of
being correct 14 or moretimes by guessing? Does this probability seem to verify her claim?
A) .0582 , no
14)
B) .4418 , yes
C) .0582 , yes
D) .4418 , no
15)
15) Find the probability that in 200 tosses of a fair die, we will obtain at least 40 fives.
A) .3871
B) .2229
C) .1210
D) .0871
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