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inna [77]
3 years ago
12

20 is what percent of 50?

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0
We can rephrase the question as "What percent of 50 is 20?".
"What percent ..." is an unknown. We'll use the variable x to represent this unknown.

The word 'of' in mathematics can mean 'multiply'. Likewise the word 'is' can mean 'equal'.

Now we have the phrase "20 equals to x times 50".

Or in an equation: 20 = x * 50

Solve for x.

20 = x * 50
\frac{20}{50} = x <-- Divide both sides by 50

Simplify the fraction.

\frac{20}{50} = \frac{2}{5}

Convert the fraction into a decimal.

\frac{2}{5} = 0.4

Convert the decimal into a percent.

0.4 = 40%

So, 40% is the answer.
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Please help with problem !!!
True [87]

Answer:

Step-by-step explanation:

y = 2x^2 - 12x +19                Put brackets around the  1st 2 terms. Take 2

y = 2(x^2 - 6x ) + 19             Take 1/2 of the 6 square it and add inside the brackets

y = 2(x^2 - 6 + (6/2)^2) +19 Subtract 2 *9 from the 19. Express 1st 3 terms as ( )^2

y = 2(x- 3)^2 + 19 - 18

y = 2(x - 3)^2 + 1

Answers

y intercept when x = 0 is y = 19

axis of symmetry x = 3

vertex: (3,1)

Graph

graph: red

axis of symmetry: blue

y intercept, vertex: green

7 0
3 years ago
15,30, 60,... Find the 6th term.​
kolbaska11 [484]

Answer:

15, 30, 60, 120, 240, <u>480</u>.

Step-by-step explanation:

You multiply the numbers by 2 to get to the next number.

For example, 15*2 is 30. 30*2 is 60. 60*2 is 120, etc..

7 0
2 years ago
Read 2 more answers
8x42+3x59-62=n. What does "n" equal?
vitfil [10]
Answer: n=451 8*42+3*59-62=n 336+177-62=n 451=n n=451
6 0
3 years ago
The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 a
Ugo [173]

The question is incomplete. I am writing the complete question below:

The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent.

                                    Positive Result                 Negative Result

Cancer Present                   0.21                                       0.79

Cancer Absent                    0.06                                      0.94

In a large study of prostate cancer screening, it was found that about 6.6% of the population has prostate cancer.

What is the probability that the test is positive for a randomly chosen person from this population? (Enter your answer to five decimal places.)

P(Positive test) =

Answer:

P(Positive Result) = 0.0699

Step-by-step explanation:

We are given that 6.6% of the population has prostate cancer. So,

P(Cancer Present) = 0.066

P(Cancer Absent) = 1 - 0.066 = 0.934

From the given conditional probability table, we have:

P(Positive Result | Cancer Present) = 0.21

P(Positive Result | Cancer Absent) = 0.06

We need to find the probability that the result is positive. It can be either that the result is positive and cancer is present or the result is positive and the cancer is absent. So,

P(Positive Result) = P(Positive Result∩Cancer Present) + P(Positive Result∩Cancer Absent)

                             = P(Positive Result | Cancer Present)*P(Cancer Present) + P(Positive Result | Cancer Absent)*P(Cancer Absent)

                             = (0.21)*(0.066) + (0.06)*(0.934)

                             = 0.01386 + 0.05604

P(Positive Result) = 0.0699

5 0
3 years ago
Find the value of x in the diagram shown below.
koban [17]

Answer:

a) <u>∡ADC = 270°</u>

b) <u>∠DAE = 38°</u>

Step-by-step explanation:

Using Inscribed Angle Theorem :

  • ∡ADC = 2 x ∠ABC
  • ∡ADC = 2 x 135°
  • <u>∡ADC = 270°</u>

Similarly :

  • ∠DAE = 1/2 x ∡DE
  • ∠DAE = 1/2 x 76°
  • <u>∠DAE = 38°</u>
5 0
2 years ago
Read 2 more answers
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