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Anna [14]
2 years ago
8

This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,

Mathematics
1 answer:
Vlad [161]2 years ago
7 0

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Event A: Person has the flu.
  • Event B: Person got the flu shot.

The percentages associated with getting the flu are:

  • 20% of 30%(got the shot).
  • 65% of 70%(did not get the shot).

Hence:

P(A) = 0.2(0.3) + 0.65(0.7) = 0.515

The probability of both having the flu and getting the shot is:

P(A \cap B) = 0.2(0.3) = 0.06

Hence, the conditional probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at brainly.com/question/14398287

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Can anybody explain how to subtract mixed fractions?
Ilya [14]

Answer:

  • <em>convert </em>the mixed fractions to improper fractions (where the numerator is greater than or equal to the denominator): multiply the whole number part by the fraction's denominator, add that to the numerator, write the result on top of the denominator.
  • if the denominators are not the same, work out the common denominator and <em>rewrite </em>the fractions with the same denominators
  • subtract by subtracting the numerators and writing the result over the denominator
  • convert back to mixed fractions by dividing the numerator by the denominator, write down the whole number answer, write down the remainder above the denominator.

Example

3\frac23-1\frac45

convert to improper fractions:

\dfrac{3 \times 3+2}{3}-\dfrac{1 \times 5+4}{5}=\dfrac{11}{3}-\dfrac{9}{5}

common denominator = 3 × 5 = 15, so:

\dfrac{11}{3}-\dfrac{9}{5}=\dfrac{11\times 5}{3\times 5}-\dfrac{9\times 3}{5\times 3}=\dfrac{55}{15}-\dfrac{27}{15}

subtract:

\dfrac{55}{15}-\dfrac{27}{15}=\dfrac{55-27}{15}=\dfrac{28}{15}

convert back to mixed fractions:

28 \div 15=1 \textsf{ remainder }13=1 \frac{13}{15}

7 0
2 years ago
Read 2 more answers
Which relationships describe angles 1 and 2?
djverab [1.8K]
Supplementary and adjacent.

Two angles are called supplementary when their measures add up to 180 degrees.

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
4 0
3 years ago
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Alex wrote this equation to represent the total distance she ran in two weeks.
egoroff_w [7]
The correct answer is A.
8 0
3 years ago
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Triangle G E F is shown with its exterior angles. Line G F extends through point B. Line F E extends through point A. Line E G e
Radda [10]

The measure of angle ∠EGF is 65°. And the measure of the angle ∠CGE is 115°.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle GEF is shown with its exterior angles.

Line GF extends through point B.

Line FE extends through point A.

Line EG extends through point C.

Angles ∠FEG and ∠EGF are congruent.

∠FEG = ∠EGF = x

Sides EF and GF are congruent.

Angle ∠EFG is 50° degrees.

∠EFG + ∠FGE + ∠GEF = 180°

                  50° + x + x = 180°

                               2x = 130°

                                 x = 65°

∠FEG = ∠EGF = 65°

Then angle ∠CGF will be

∠CGF + ∠FGE = 180°

   ∠CGF + 65° = 180°

             ∠CGF = 115°

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

4 0
2 years ago
ABCD is a parallelogram. Find the values of x and y.
Komok [63]

Answer:

x = 8; y = 29

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.

8x = 7x + 8

x = 8

4y = y + 87

3y = 87

y = 29

6 0
3 years ago
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