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zaharov [31]
3 years ago
13

Brian ate 1/5 of a pie. Then Colin ate 1/5 of the pie, and David ate 1/5 of the pie. How much of the pie was left?

Mathematics
1 answer:
zmey [24]3 years ago
6 0
Hi this one's Simple..
2/5
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How can you check the solution of an equation?
vichka [17]
In order to check you would plug in the value of x and see if it equals the same thing.
or do the opposite of the equation. it depends on if you are dealing with x or not. so if you have 6-3 is 3 you can do 3+3 is 6
4 0
3 years ago
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A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one
salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = \frac{2}{3}

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = \frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is x. Then that of 3 is 2x(because it is twice the others). The sum of probabilities must be 1.

x+x+x+x+x+2x=1

7x=1

x=\frac{1}{7}

P(odd number) = 3\timesProb(1) + Prob(3)

= 3\times\frac{1}{7}+\frac{2}{7} = \frac{5}{7}

7 0
3 years ago
A sample of 100 receipts from a restaurant showed that 12 had errors. What is the 95% confidence interval for the proportion of
lawyer [7]

Answer:

0.03919

Step-by-step explanation:

You take 1.984+1.96=3.944

3.944-0.025=3.919

3.919 into the percentage =0.03919

7 0
3 years ago
How are the following three expressions different from each other, if needed they are? Do not just state the value of each but e
Advocard [28]

Answer:

2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.

Step-by-step explanation:

We are given the three expressions different from each other

We are supposed to find  what may be same or different.

1) (-2)^2

\Rightarrow (-1)^2 \times (2)^2\\\Rightarrow -1 \times -1 \times 2 \times 2 \\\Rightarrow 4

2)-2^2

\Rightarrow -1 \times 2^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4

3)-(2)^2

\Rightarrow -1 \times (2)^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4

Now 2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.

3 0
3 years ago
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