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Semmy [17]
3 years ago
5

A is 30% of b, b is 90% of c What percentage of c is a

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0
So let's give each letter a variable

If b is 90% of c that means:
b=.9c

If a is 30% of C that means:
a=.3b

So take that second equation (a=.3b), and use the first equation to plug in for b. We get:
a=.3(.9c)
.3*.9=.27 which means:
a=.27c
.27=27%

ANSWER:
a is 27% of c

If you want to check you could give c a number.
Let's say c=100

If b is 90% of c that means . 9(100)=b
.9(100)=90=b

To get a, multiply b by 30%
.3(90)=27=a

It checks out because 27 is 27% of 100


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8 0
4 years ago
Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event
enot [183]

Answer:

P(x < 3) = 25\%

E(x) = 3

Step-by-step explanation:

The given parameters can be represented as:

\begin{array}{ccccccc}x & {5} & {4} & {3} & {2} & {1}& {0} & P(x) & {25\%} & {30\%} & {20\%} & {15\%} & {5\%} & {5\%} \ \end{array}

Solving (a): P(x < 3)

This is calculated as:

P(x < 3) = P(x = 0) + P(x = 1) + P(x =2) ----- i.e. all probabilities less than 3

So, we have:

P(x < 3) = 5\% + 5\% + 15\%

P(x < 3) = 25\%

Solving (b): Expected number of events

This is calculated as:

E(x) = \sum x * P(x)

So, we have:

E(x) = 5 * 25\% + 4 * 30\% + 3 * 20\% + 2 * 15\% + 1 * 5\% + 0 * 5\%

E(x) = 125\% + 120\% + 60\% + 30\% + 5\% + 0\%

E(x) = 340\%

Express as decimal

E(x) = 3.40

Approximate to the nearest integer

E(x) = 3

3 0
3 years ago
HELP!! Is –41/2 equivalent to (–4)1/2? Why or why not?
Oliga [24]
No, they are not equivalent. The first term, -4 1/2 equals 4 whole units and one half unit. All negative. So it’s like you have someone 4 and 1/2 dollars.

The second term, (-4)1/2 means multiplying -4 times 1/2. Doing the multiplication for this gives you -4/2. Solving the division here is -2. It’s taking away 1/2 dollar 4 times.

I hope this helped. Happy to answer any questions you have.
8 0
3 years ago
Which of the following is true?
VARVARA [1.3K]

Answer:

The correct option is c which is if this test was one-tailed instead of two-tailed, you would reject the null.

Step-by-step explanation:

a: This statement cannot be true as the p-value for a 1 tailed test is dependent on the level of significance and other features.

b: This statement cannot be true as there is no valid mathematical correlation between the p-value of the one-tailed test and the current p-value.

c: This statement is true because due to the enhanced level of significance, the null hypothesis will not be rejected.

d: This statement is inverse of statement c which cannot be true.

e: The statement cannot be true as there is no correlation between the current p-value and the p-value of 1 tailed test. The correlation exists between the values of one-tailed and two-tailed p-values.

8 0
3 years ago
What term can you add to 5/6x-4 to make it equivalent to 1/2x-4?
patriot [66]

\frac{-1}{3}x can be added to \frac{5}{6}x-4 to make it equivalent to \frac{1}{2}x-4.

Step-by-step explanation:

Let,

y be the term that can be added to given fraction.

Therefore;

(\frac{5}{6}x-4)+y=\frac{1}{2}x-4

Subtracting \frac{5}{6}x-4 from both sides to find y

(\frac{5}{6}x-4)-(\frac{5}{6}x-4)+y=\frac{1}{2}x-4-(\frac{5}{6}x-4)\\\\\frac{5}{6}x-4-\frac{5}{6}x+4+y=\frac{1}{2}x+4-\frac{5}{6}x+4\\\\y=\frac{1}{2}x-\frac{5}{6}x\\\\y=\frac{3-5}{6}x\\\\y=\frac{-2}{6}x\\\\y=\frac{-1}{3}x

\frac{-1}{3}x can be added to \frac{5}{6}x-4 to make it equivalent to \frac{1}{2}x-4.

Keywords: fraction, subtraction

Learn more about fractions at:

  • brainly.com/question/7153188
  • brainly.com/question/7151553

#LearnwithBrainly

6 0
3 years ago
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