Answer: Choice B and choice D
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Parallel lines have equal slopes. Each answer choice is in the form y = mx+b which is slope intercept form. For choices B and D, we see the slope is m = 2/3. This is why these lines are parallel. The other choices have different slopes (m = -2/3 for choice A; m = 3/2 for choice C)
The answer to the first one is ' D '.
(All the angles inside a triangle have to add up to exactly 180 degrees.)
The answer to the second one is ' C ' .
(If two sides are equal, then the sides opposite them are also equal.)
Answer:
Probability that the calculator works properly for 74 months or more is 0.04 or 4%.
Step-by-step explanation:
We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.
Firstly, Let X = life span of a calculator
The z score probability distribution for is given by;
Z =
~ N(0,1)
where,
= population mean = 60 months
= standard deviation = 8 months
Probability that the calculator works properly for 74 months or more is given by = P(X
74 months)
P(X
74) = P(
) = P(Z
1.75) = 1 - P(Z < 1.75)
= 1 - 0.95994 = 0.04
Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.
Answer:Maria rate = 1/13 job/hr
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Felipe rate = 1/16 job/hr
----
Together rate = 1/x job/h
Step-by-step explanation: rate + rate = Together rate
1/13 + 1/16 = 1/x
----
16x + 13x = 13*16
------
29x = 13*16
x = 7.17 hrs = 7 hr 10 min 12 seconds (time to do the job together)
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Cheers,
Rubberduck100000.
The different group of 2 players that the coach can pick is 45 groups.
<h3>Selection of groups</h3>
The selection of groups of 2 player can be done using the method of combination.
<h3>Different groups of 2 players</h3>
The different group of 2 players that the coach can pick from the 10 players is calculated as follows;
n = 10C2

Thus, the different group of 2 players that the coach can pick is 45 groups.
Learn more about combinations here: brainly.com/question/25821700