A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 22% of the employees needed corrective shoes, 29% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work

Answers

Answer 1

Answer:

0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work

Step-by-step explanation:

I am going to solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Employee needed corrective shoes.

Event B: Employee needed major dental work.

22% of the employees needed corrective shoes

This means that [tex]P(A) = 0.22[/tex]

29% needed major dental work

This means that [tex]P(B) = 0.29[/tex]

3% needed both corrective shoes and major dental work.

This means that [tex]P(A \cap B) = 0.03[/tex]

What is the probability that an employee selected at random will need either corrective shoes or major dental work?

This is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Replacing the values that we have:

[tex]P(A \cup B) = 0.22 + 0.29 - 0.03 = 0.48[/tex]

0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work


Related Questions

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Answers

the answer is $30.75
bought the shares for a total of $480.75
so you’re going to multiply $3.75 by 120 shares since that’s how much they cost each and that gives you $450 cost so then you subtract the $480.75 from $450.00 which is the cost of the shares and that gives you $30.75 in total

solve this question 5/8÷15/16=?​

Answers

Answer:

Hellou our answer is 2/3

Step-by-step explanation:

5/8 ÷ 15/16 = 2/3

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Factor this expression. 3x² - 6x O A. 3x(x - 2) B. 3x(x2 - 2) O C. 3(x-2) D. 3072 - 2)​

Answers

The answer is A. 3x(x-2).

Answer:

A. 3x (x-2)

Step-by-step explanation:

Question:

To factorise

3x² - 6x

Solution:

3x² - 6x

[Taking common term out]

= (3x × x) - (3x × 2)

= 3x ( x - 2)

Result:

Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)

What is the Area of Triangle RST? Round your answer to the nearest tenth. *

Answers

Answer:

Step-by-step explanation:

Answer:

88.5

Step-by-step explanation:

formula = ab ×(sin∅)/2

= 18×12 × (sin 55)/2

= 88.5

pls help now. Find X (picture below)

Answers

Answer:

20

Step-by-step explanation:

18000/30=600

600/30=20

Which is the number that gives 240 when added to its own square?​

Answers

Answer:

15

15 when added to it's square gives 240

Help me to convert the following to redian (1) 300° (2)18° (3) 105°​

Answers

Answer:

(1) 5.23599

(2) 0.314159

(3) 1.8326

a gift box is shaped of a right rectangle prism

Answers

Lol this is what I am doing to earn points

Brain ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of 47.60 including the $5 tip, how much did each pizza cost? ( assume there is no tax)

Answers

Answer:

Each Pizza will cost $12.55

Step-by-step explanation:

we first going to subtract the following

$47.60 - 5 - 4.95 = $37.65

$37.65 / 3 (the number of pizza ) = $12.55

$12.55

Step-by-step explanation:

Amount spent on 3 pizzas= Total —( amount spent on salad + tip)

=460—(4.95+5)

= $37.65

cost of each pizza= 37.65÷3

= $12.55

PLEASE HELP
Drag each expression to the correct location on the table.
Place each algebraic expressions next to its corresponding verbal description.
5.13
45
523 – 4 3
513
the difference of 5 times the cube of x cubed and
the quotient of 4 times x and 3
5 times the cube of x divided by 4 times x
the quotient of the difference of 5 times x cubed and 4 and x
the cube of the difference of 5 times x and 4

Answers

Answer:

(a)

x cubed is

=x^3=x3

5 times the cube of x is

=5x^3=5x3

4 times x is

=4x=4x

the quotient of 4 times x and 3 is

=\frac{4x}{3}=34x

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

=5x^3-\frac{4x}{3}=5x3−34x ..........Answer

(b)

5 times cube of x is

=5x^3=5x3

5 times cube of x divided by 4 times x is

=\frac{5x^3}{4x}=4x5x3 ..........Answer

(c)

difference of 5 times x cube and 4 is

=5x^3 -4=5x3−4

so,

the quotient of the difference of 5 times x cube and 4 and x is

=\frac{5x^3-4}{x}=x5x3−4 ...........Answer

(d)

difference of 5 times x and 4 is

=5x-4=5x−4

so,

the cube of the difference of 5 times x and 4 is is

=(5x-4)^3=(5x−4)3 ............Answer

Absolute value of 44 is

Answers

Answer:

44

Step-by-step explanation:

The absolute value of a number tells us how far the number is from 0 on a number line. Because 44 is 44 places away from 0, the absolute value of 44 is 44.

The absolute value of -44 would also be 44 because it's also 44 places away from 0.

I hope this helps!

it’s 44 absolute value is when you turn your number into a positive number you already have that so it’s 44.

Find the value of x plssssssss

Answers

Answer:

150 degrees

Step-by-step explanation:

Hi,

Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.

30 + u = 180

Subtract 30 from 180 to find the value of u.

u is 150 degrees.

I hope this helps :)

Answer: 150 degrees

Step-by-step explanation:

A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc

Chris buys 5 apples for $2.60 .How much does one apple cost​

Answers

Answer:

.52¢

Step-by-step explanation:

One apple cost 52 cents. The expression below represents the cost of an apple.

5a =2.60

5a/5= 2.60/5

a =0.52

Answer:

Each apple costs $0.52.

Step-by-step explanation:

Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.

To find this: total cost/total apples

2.60/5 = 0.52

Each apple costs $0.52.

Let's check our answer.

If one apples costs $0.52, 5 apples should cost 0.52 • 5

0.52 • 5 = 2.60

This is how much Christ spent; therefore your answer is correct.

Hope this helps!

Solve the following inequalities and give the solutions in both set and interval notations.

-2x + 5 < -x + 25

Answers

4y + 3 > 23 subtract 3 from both sides
4y > 20 divide both sides by 4
y > 5

-2y > -2 divide both sides by -2 (the order changes)
y < 1

(-oo, 1) ∪ (5, oo)

21. Tom buys a DVD player on 12 monthly payments. The cash price is $600. He pays
* 10% deposit and the store charges 9% interest.
(a) How much is each payment?
(b) Total amount Tom pays for the DVD player?​

Answers

Answer:

Each monthly payment is $ 49.05, and in total Tom paid $ 648.60.

Step-by-step explanation:

Given that Tom buys a DVD player on 12 monthly payments, whose cash price is $ 600, and he pays a 10% deposit and the store charges 9% interest, to determine how much is each payment and the total amount Tom pays for the DVD player the following calculations must be performed:

600 - 600 x 0.1 = 540

540 x 1.09 = 588.6

588.6 / 12 = 49.05

Thus, each monthly payment is $ 49.05, and in total Tom paid $ 648.60.

Which of these sets of numbers contains no rational numbers?
NEED ANSWER NOW!​

Answers

Answer:

the first option

Step-by-step explanation:

for a number to be rational, it should be able to be expressed as a fraction.  Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction

Answer:

Step-by-step explanation:

it’s the first one

An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times

Answers

Answer:

[tex]\frac{1}{25} =0.04[/tex] (Unusual)

Step-by-step explanation:

1/5 for one drawing

1/5 chance to win once, if there is only one game.

Then multiply them together to get 1/25.

If you need in decimal form 1/25 = 0.04 (unusual)

If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

What is Permutation and Combination ?

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

An individual can win a prize by drawing the highest numbered card out of five cards.

Given that an individual makes 7 draws

p = 1/5  =  0.2

q = 1-P =0 .5

5 times corresponds to B( 7 , 0.2)

P(x = 2) = 7 C₂ (0.7)² (0.8)⁵

= 21 * 0.04 * 0.3277

= 0.2753

Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

To know more about Permutation and Combination

https://brainly.com/question/13387529

#SPJ2

What is the measure of

Answers

Answer:

58 degrees

Step-by-step explanation:

90-32=58

Complementary angle
They form right angles = 90 degree
Add them together
32 + x = 90
x = 58
Solution: x = 58 degree

question for math; 2m3n-4/p-6

Answers

Answer:

2m3np−6p−4p

Step-by-step explanation:

That is the answer

step 2. divide the amount of rice by the total 50/5=10​

Answers

Answer:

oo nvjfdifhdkvcbjkggnnvv

Step-by-step explanation:

please mark me answer banilist

help, please will give Brainliest

Answers

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

Solve the following inequalities and give the solutions in both set and interval notations.

-2x + 5 < -x + 25

Answers

Answer:

x> -20

x= -19,-18,-17,-16,.....

Step-by-step explanation:

-2x + 5 < -x + 25

-2x + x < 25- 5

-x < 20

x> -20

x= -19,-18,-17,-16,......

A. (1 x 3 x 4) + (2 X 5 X 3)
B. (1 x 3) + (4 X 2) + (5 x 3)
C. (1X3 X 2) + (6 x 3 x 2)
D. 3 x (1 + 4) + 2 x (5 + 3)
E. (3 x 4) + 1 x (2 x 5) + 3

Answers

The answer is C I think

Which of the following graphs are identical?
DONE.

Answers

Answer:

I think it's the 1st and 3rd

Step-by-step explanation:

with square root and squaring, being positive/negative doesn't effect the answer. you can use a calculator if u want.

square root of 3 = square root of -3

square root of X = square root of -X

The fourth and sixth

Bob earns $10 per hour plus a
15 percent commission on his sales. Last week he worked h hours and had s dollars in sales. Write an equation that represents his total earning, in dollars, last week?


O 10.15hs
O 10.15(h +s)
O 10h+0.15s
O 10(h + 0.15s)

Answers

Answer:

C, 10h + 0.15s

Step-by-step explanation:

he earns 10 dollars per hour so 10h

he earns 15% or .15 per sale so .15s

add them together to get 10h + 0.15s

What is the slope of the line that passes through the points (-3, 1)(−3,1) and (7, -14) ?(7,−14)?

Answers

Answer: The answer for both is infinity. You might want to recheck the question as it is not very common but if the question is correct this is the answer to it:

Step-by-step explanation:

1. Using the formula m = y2 - y1 / x2 - x1

m = 1 - 1 / -3 -(-3)

m = 0/0

m = infinity

2. Using the formula m = y2 - y1 / x2 - x1

m = -14-(-14) / 7-7

m = 0/0

m = infinity.


What is the standard form polynomial representing the volume of this shipping container?

Answers

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

             = [(4x² + 3x)(x²- 8)](6x + 15)

             = [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

             = (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

             = (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

             = 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

             = 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

             = 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

Answer:

V = 24x⁵+78x⁴-147x³-624x²-360x

Step-by-step explanation:

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Answers

Answer:

[tex]x \leqslant - \frac{1}{2} [/tex]

I DONT KNOW THIS CAUSE ITS TOO HARD ( if brainly says in am in collage I AM NOT i am in Middle school)

Answers

Answer:

217.5

Step-by-step explanation:

Answer:

The answer is 2700 i think

Step-by-step explanation:

answer and show proof for brainliest

Answers

Answer:

12

Step-by-step explanation:

Add each number given = 132

132 / 6 (amount of given numbers)

=12

1. add all value together: 24+31+12+38+12+15= 132

2. divide answer by amount of numbers added together: 132/6=22

3. Answer: the mean is 22
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