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Oliga [24]
3 years ago
7

Which statement best describes the area of the triangle shown below?

Mathematics
1 answer:
deff fn [24]3 years ago
4 0
The answer is “It is one-half the area of a rectangle of length 4 units and width 3 units.” This is because the height of this triangle is 3 units and the base is 4 units so it will have the same area as half a rectangle with the same units.
You might be interested in
Belle bought 18 seeds in order to plant an herb garden for her grandma. Of the seeds she bought, 10 were parsley seeds.
Harrizon [31]

Answer:

  0.3431

Step-by-step explanation:

Here, it can work well to consider the seeds from the group of 18 that are NOT selected to be part of the group of 15 that are planted.

There are 18C3 = 816 ways to choose 3 seeds from 18 NOT to plant.

We are interested in the number of ways exactly one of the 10 parsley seeds can be chosen NOT to plant. For each of the 10C1 = 10 ways we can ignore exactly 1 parsley seed, there are also 8C2 = 28 ways to ignore two non-parsley seeds from the 8 that are non-parsley seeds.

That is, there are 10×28 = 280 ways to choose to ignore 1 parsley seed and 2 non-parsley seeds.

So, the probability of interest is 280/816 ≈ 0.3431.

___

The notation nCk is used to represent the expression n!/(k!(n-k)!), the number of ways k objects can be chosen from a group of n. It can be pronounced "n choose k".

6 0
3 years ago
Father to his first biological son true or false?
FromTheMoon [43]

Answer:

True

Step-by-step explanation:

have a great day!

5 0
3 years ago
A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the
forsale [732]
<h3>The probability of  student passing the quiz with  at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly  = (\frac{1}{2})   = p = 0.5

Also, the possibility of answering a question wrong  = (\frac{1}{2})  = q = 0.5

Now, to pass he needs to answer 8 or more (  8 , 9 or 10) answers correctly.

P(answering 8 correct answer)  = ^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2  = 0.0439

P(answering 9 correct answer)  =  ^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1  = 0.0097

P(answering 10 correct answer)  = ^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0  = 0.00097

So, the total Probability   = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz  with  at least 8 of the questions correct is 0.05457.

6 0
4 years ago
Solve for z - 9 = 27
sasho [114]

Answer:

z = 36

Step-by-step explanation:

  1. Add nine to each side, so it now looks like this: z = 36
4 0
3 years ago
Read 2 more answers
If the angle m/_AEB=47 and angle m/_AEC=105 with the angle AE = 0, what is m/_BED
algol13

Answer:

80*

Step-by-step explanation:

8 0
3 years ago
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