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2 years ago

4/9

Mathematics

1 answer:

Mila [183]2 years ago

5 0

Answer:

The probability of picking an orange is 8/18, or 4/9.

8/18 of the fruits are oranges, so 10/18 of the fruits are not oranges. The complement of picking an orange is 10/18 or 5/9.

Step-by-step explanation:

There are 4 apples, 6 pears, and 8 oranges. That adds up to 18 fruits. 8 of those are oranges, so the probability of picking an orange is 8/18, or 4/9 simplified.

The complement means all outcomes that are NOT the favorable outcome, or in this case, all outcomes that are not oranges. There are 8 oranges out of 18, so there are 10 fruits that are not oranges. This makes the complement 10/18, or 5/9 simplified.

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Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined

Scorpion4ik [409]

Note: I am assuming you mean ''on what domain is f+g is defined''.

Answer:

We conclude that

Dom(f+g) = [-2, 5]

Step-by-step explanation:

Given the domain of f

[-3, 5]

Given the domain of g

[-2, 7]

The domain of a composition f+g would include the intersection of both domains.

In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.

Domain of f = [-3, 5]

The x-values lie in the domain of f interval are:

x = -3, -2, 1, 0, 1, 2, 3, 4, 5

Domain of g = [-2, 7]

The x-values lie in the domain of g interval are:

x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7

Therefore, the common x-values in both f and g would be:

-2, 1, 0, 1, 2, 3, 4, 5

Thus, we conclude that

Dom(f+g) = [-2, 5]

3 0

3 years ago

12 10,9,68,12<br> What is the most appropriate measure of center?

valentina_108 [34]

Answer: The most appropriate measure of center is the median.

Step-by-step explanation:

The measure of center generally represented by 1) mean 2) median 3) mode.
Mean is the best measure to represent the center of the data but when data have outliers it gets affected badly.
In that case, we use the Median as the best measure of center.

The given data is 12 10,9,68,12 .

As it can be seen that, the data have extreme value 68 ( called outliers).

In this case, we will use the Median as the best measure of center.

So, the most appropriate measure of center is the median.

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3 years ago

I can't figure this out.

Leviafan [203]

Answer:

$ 9.5

Step-by-step explanation:

total money is $20

on lunch = 1/8 × 20 = 5/2 = $2.5

on movies = 2/5 × 20 = $8

total spent = 2.5+8 =$ 10.5

left money = 20-10.5 = $ 9.5

7 0

3 years ago

Convert each fraction to a decimal. Classify the decimal as terminating, non-terminating, repeating, or nonrepeating. If the dec

mixas84 [53]

Answer:

0.375

Step-by-step explanation:

I just divided 3 and 8

8 0

2 years ago

About 1/4 of all adults in the United States have type O+ blood. If three randomly selected adults donate blood, find the probab

valina [46]

Answer:

a) 0.0156

b) 0.4219

c) 0.1406

Step-by-step explanation:

We are given the following information:

We treat adult having type O+ blood as a success.

P(Adult have type O+ blood) = 0.25

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3

a) All three are type O+

$P(x =3)\\= \binom{3}{3}(0.25)^3(1-0.25)^0\\= 0.0156$

b) None of them is type O+

$P(x =0)\\= \binom{3}{0}(0.25)^0(1-0.25)^3\\= 0.4219$

c) Two out of the three are type O

$P(x =2)\\= \binom{3}{2}(0.25)^2(1-0.25)^1\\= 0.1406$

6 0

3 years ago