Answer:
0.714 ; 0.556 ; (A1 n A2 n A3) = 0
Step-by-step explanation:
Given that :
P(oil) = 0.35
P(filter) = 0.45
P(oil n filter) = 0.25
1)
P(filter | Oil) = P(oil n filter) / P(oil)
P(filter | Oil) = 0.25 / 0.35 = 0.714
11)
P(Oil | filter) = P(oil n filter) / P(filter)
P(Oil | filter ) = 0.25 / 0.45 = 0.556
Number of red aces = 2
Queen or king = 4 + 4 = 8
Number on card greater than 3 and less than 8 = {4,5,6,7} = 4 card ; for 4 suits = 4 * 4 = 16
Total number of cards in deck = 52
Choosing without replacement :
Hence,
A1 = 2 / 52
A2 = 8 / 51
A3 = 16 / 50
(A1 n A2 n A3) ;this means card common to all three events.
However, (A1 n A2 n A3) = 0 because ;
1.) No red ace card is greater than 3 and less than 8.
11.) An ace card can neither be a king nor a queen
In a basketball game, Alison made 6 of 13 free shots.
Madhu made 5 of 9 free shots. Who played better? Explain.
Answer:
Madhu played better.
Step-by-step explanation:
Change both fractions to where they have the same denominator to see which one is bigger. The smallest possible denominator between the two fractions is 117.
To get the 13 in 6/13 to become 117, you had to multiply it by 9. Whatever you do to the denominator, you must do to the numerator.
6 x 9 = 54.
Allison's fraction is now 54/117.
To get the 9 in 5/9 to become 117, you had to multiply the 9 by 13. Whatever you do to the denominator, you must do to the numerator.
5 x 13 = 65
Madhu's fraction is now 65/117
By looking, 65 is larger than 54, so Madhu had a larger number of shots compared to shots not made than Allison.
what is the math problem to 35= 3.5s
Answer:
35=3.5s =40 4.5s
Step-by-step explanation:
tell me if I'm wrong.
The price of a cell phone was marked down by $35. The original price of the cell phone was $212. What was the percentage rate of the discount
Given:
The price of a cell phone was marked down by $35.
The original price of the cell phone was $212.
To find:
The percentage rate of the discount.
Solution:
We have,
Price marked down by= $35
Original price = $212
Now, the percentage rate of the discount is
[tex]Discount\%=\dfrac{\text{Price marked down by}}{\text{Original price}}\times 100[/tex]
[tex]Discount\%=\dfrac{35}{212}\times 100[/tex]
[tex]Discount\%=\dfrac{3500}{212}[/tex]
[tex]Discount\%=16.509434[/tex]
[tex]Discount\%\approx 16.51[/tex]
Therefore, the rate of discount in percentage is 16.51%.
a. 25 - 3x = 40, х =
Answer:
x=-5
Step-by-step explanation:
25-3x=40
-3x=40-25 (both side -25)
-3x=15 (both side divide by 3)
x=5
Give the value of each expression.
7.1- 3.35=___
5/8 + 2/3 - 1/8 =___
6- 2 & 1/2=___
8.9- 4 & 2/5
Answer:
1. 3.75
2. 7/6
3. 7/2 / mixed number 3 and 1/2
4. 4.5
5/6 -2/9 in simplest form
Answer:
56 is already in the simplest form. It can be written as 0.833333 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Question in the picture. Thanks
Answer:
x=100
Step-by-step explanation:
Simply multiply the 1/5 by 20 to get x, since 5*20, you get 100.
At 50 years old, Margie gets her first job that requires 3% pre-tax income deposits to Social Security. Margie makes $35,000 a year. Assuming she retires at 62, and Social Security offers a 2.5% rate to offset inflation, what will be the balance of Margie's Social Security when she retires?
Answer:
$14,847.46
Step-by-step explanation:
What is the base in the expression 4⁵?
1.4
2.5
3.9
4.20
Answer:
1.4
Step-by-step explanation:
base is 4 option 1 is correct
Can you form a right triangle with the three lengths given? Why or why not?
7 in., 24 in., 25 in.
yes; 7 + 24 = 25
no; 72 + 242 ≠ 252
no; 7 + 24 ≠ 25
yes; 72 + 242 = 252
Answer:
Yes, 7^2+24^2=25^2
Step-by-step explanation:
If a right triangle then:
is 7^2+24^2=25^2
rewritten: 49+576=625 then yes
Help me with this pls
answer:f60 and 40
Step-by-step explanation:
a line is a 180 degree angle there's 80 already there and then 60 plus 40 is a hundred
x=20
3 times 20 equals 60
2 times 20 equals 40
60+40+80= 180
Which problem can be solved using 3 x 7= 21?
Answer:
2nd one
Step-by-step explanation:
phil has 3 tables with 21 balloons on each
D would be the answer to solve 3x7=21. A is adding 21 with 3 and B is multiplying 3 and 21 witch isn’t what we’re looking for. Then for C, it would be subtracting 22 by 3. D is the only one witch said that Phil has 21 balloons and he put the same number of ballon on 3 tables. This way they can divide 21 with 3 and gives the quotient of 7. So D would be the best answer t solve he problem 3x7=21.
ASAP
3x - 18=0
options:
x= -6
X=6
Answer:
21
Step-by-step explanation:
2y - 7+ 5y = 0
Step by step work
Answer:
y=1
Step-by-step explanation:
2y+5y-7=0
Combine y: 7y-7=0
Move 7 over: 7y=7
Divide by 7:y=1
The Meyer family spent $65 on dinner and left a 20% tip. What was the total cost of their meal?
A.$85
B.$78
C.$67
D.$13
please help me please will give brainliest to anyone who is right
Answer:
C
Step-by-step explanation:
you have a total of 18 data values which means you have to find the average of the 9th and 10th values; these values would be in the 3000 - 5999 because this interval contains data values 5 through 10
What is the image point of (0, -1) after a translation left 5 units and down 1 unit?
Answer:
(-5, -2)
Step-by-step explanation:
What would your total be on a pizza that cost
$12.50 pre-tax, the tax was 9%, and you tipped
10% on the pre-tax amount?
Answer:
12.50/100 X 110 = 13.75
13.75-12.50 = 1.25
12.50/100 X 109 = 13.625
13.625 + 1.25 = 14.875
monetary unit round to 2dp
$14.88
What is .087% of $550
Answer:
0.4785
Step-by-step explanation:
please help me please will give brainliest
Answer:
C
Step-by-step explanation:
For every 3 batteries, we see 2 hours of usage, look at the point (3, 2)
Thank, 5 star, and brainliest if helpful
Answer:
C: For Every Increase In Three Hours Of Usage Jimmy Had To Use Two More batteries
Step-by-step explanation:
2.05×5 with shown work
Answer:
10.25
Step-by-step explanation:
205 × 5 = 1025
2.05 has 2 decimal places
5 has 0 decimal places
Therefore, the answer has 2 decimal places
1025
10.25
Simplify the radical
Answer:
[tex] \sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264[/tex]
Help me please ASAP!!
answerrrrrrrrrrrrrrrrrrr is 5cm
Answer:
The angle length of angle AB is 5 inches.
Step-by-step explanation:
x+2y=6 5x+3y=2
solve using elimination
express your answer as a coordinate
Answer:
(-2,4)
Hope this helps
What is the distance between the following points:
A (25, 20) , B (5, 20)
Answer:
Distance is 20 units
Step-by-step explanation:
;)
Zac has a fair coin and a six-sided number cube with a number, 1 through 6, on each side. He flips the coin and rolls the number cube. What is the probability that the coin shows tails, and the number cube is more than 2?
Answer:
1/3
Step-by-step explanation:
1/2 * 4/6 = 1/2 * 2/3 = 1/3
thank, 5 star, and brainliest if helpful!
Rebecca is investigating the equation 1 - 1/3 * (12x + k) = - 4x + 1 is an integer in the Interval - 5 <= k <= 5 She states that there are cases when the equation hasinfinitely many solutions for x and cases where the equation has no solution forx. Complete the table by identifying one value of each case to occur.
Step-by-step explanation:
2y she stated that she was going how much
Answer:
Infinitely many solutions = 2
No solutions = None
0.19, 0.55, 0.593,0.5 in descending order
Answer:
0.593,0.55,0.5,0.19
Step-by-step explanation:
It rained 0.8 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday. How much did it rain on Tuesday?
Solve the system of equations.
- 5y + 3x = 3
- 8y + 9x = -12
Point from:
(-4, -3)
Equation Form:
x = -4, y = -3
