Answer:
0.5041 = 50.41% probability of getting 2 of the same colour
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is the probability of getting 2 of the same colour?
Both blue or both red
Since they are replaced, we have, in each trial:
6 blue from a set of 6 + 5 = 11
5 red from a set of 6 + 5 = 11
Probability of both blue:
Each with 6/11 probability. So
[tex]P = (\frac{6}{11})^2 = \frac{36}{121}[/tex]
Probability of both red:
Each with 5/11 probability. So
[tex]P = (\frac{5}{11})^2 = \frac{25}{121}[/tex]
Total:
[tex]p = \frac{36}{121} + \frac{25}{121} = \frac{61}{121} = 0.5041[/tex]
0.5041 = 50.41% probability of getting 2 of the same colour
work out the size of angle x
Answer:
where?
Step-by-step explanation:
the pic
You have a bag with 10 pennies, 10 quarters, and 10 dimes. You draw 2 coins without replacement. Which action, performed before the draws, increases the probability of drawing 3 quarters in a row? O removing pennies and dimes from the bag O adding dimes to the bag O adding pennies to the bag o adding pennies and dimes to the bag
Answer:
Removing pennies and dimes from the bag
Step-by-step explanation:
From the beginning, we have a 1 in 3 chance of drawing a quarter. If we were to add dimes and/or pennies to the bag, this would make us more likely to draw a dime or a penny, and less likely to draw a quarter. Proportionally, we want the most quarters in the bag to get the highest probability of drawing a quarter from the bag.
Three boys won $6000. They shared the money so that one boy gets $1200 more than the other two boys. Calculate how much money each boy gets?
Answer:
3200
Step-by-step explanation:
take 6000 and divide it by 3 then add 1200 to that!
WRITE YES IF THE EQUATION IS RIGHT AND NO IF ITS WRONG PLS!
Math please help ASAP
Answer:
11
Step-by-step explanation:
i don't know
Mai biked 5 1/4 miles today, and Noah biked 2 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Answer:
The length of Mai's bike ride was 2.1 times the length of Noah's ride.
Step-by-step explanation:
Mai biked 5 1/4 miles today
So he biked, in miles:
[tex]5 + \frac{1}{4} = \frac{5*4 + 1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]
Noah biked 2 1/2 miles.
So, in miles, he biked:
[tex]2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}[/tex]
How many times the length of Noah’s bike ride was Mai’s bike ride?
We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So
[tex]\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1[/tex]
The length of Mai's bike ride was 2.1 times the length of Noah's ride.
Angelo the Alligator is laying out next to a perfectly circular pond. He is 25 feet from the edge of the pond and 45 feet from the point of tangency. Determine the radius of the pond.
9514 1404 393
Answer:
28 feet
Step-by-step explanation:
Let r represent the radius of the pond. Then the Pythagorean theorem gives us the relation ...
(25+r)² = r² + 45²
625 +50r +r² = r² +2025
50r = 1400 . . . . . . . . . . . . . subtract r²+625 from both sides
r = 28 . . . . . . . . . . . divide by 50
The radius of the pond is 28 feet.
Suppose that mean retail price per gallon of regular grade gasoline is $3.45 with a standard deviation of $0.10 and that the retail
price per gallon has a bell-shaped distribution.
NOTE: Please use empirical rule approximations for this problem.
a. What percentage of regular grade gasoline sells for between $3.35 and $3.55 per gallon (to 1 decimal)?
Lololo
%
b. What percentage of regular grade gasoline sells for between $3.35 and $3.65 per gallon (to 1 decimal)?
%
c. What percentage of regular grade gasoline sells for less than $3.55 per gallon (to 1 decimal)?
%
The percentage of regular grade gasoline sells for between $3.35 and $3.55 per gallon is 64%
The percentage of regular grade gasoline sells for between $3.35 and $3.65 per gallon is 81.5%
The percentage of regular grade gasoline sells for less than $3.55 per gallon is 84%
Given :
Mean retail price is $3.45
Standard deviation is 0.10
Empirical rule states that 99.7% of data is observed in normal distribution that lies within 3 standard deviations.
68% of data lies under 1 standard deviation
95% lies under 2 standard deviations
99.7% lies under 3 standard deviations
there are 3 standard deviations on the left and right of mean . The graph is attached below
Mean is 3.45. standard deviation is 0.1
3.45+0.1=3.55
3.45-0.1=3.35
So 3.35 and 3.55 lies under first standard deviation
The percentage between $3.35 and $3.55 is 68%
3.45 +0.1+0.1=3.65
3.35 lies on 1 standard deviation on left and 2 deviations on the right of mean
So , 34+34+13.5=81.5%
The percentage between $3.35 and $3.65 is 81.5%
For gasoline sells for less than 3.55 , there are 3 standard deviation on the left of mean and 1 standard deviation on the right
0.15+2.35+13.5+34+34=84%
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The school district does not have to pay the 8% sales tax on the $2992.50 purchase. Find the amount of sales tax distric saved on the 2992.50 purchase
Answer:
239.4
Step-by-step explanation:
8 x 2992.50/100 = 239.4
7. Write the order of operations.
Answer:
PEMDAS
parenthesis
exponents
multiplication
division
addition
subtractions
(please excuse my dear aunt sally)
Step-by-step explanation:
hope this helps:) please mark brainliest.
Hlw to find ghe area of a parallelogram
Answer:
Hope this helps! :')
Step-by-step explanation:
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply
Rita charged $126 for a DVD player at an interest rate of 15.9%. How much will Rita have to pay for the DVD player after 3 years if she makes no payments?
Answer:
$ 129.34 will be the total payment made after two months if she made no initial payment
Step-by-step explanation:
annual interest rate = 15.9 %
initial charge = $126
to get the annual interest paid = 15.9% of $126
= 0.159 * $126 = $20.03
monthly interest paid would be = annual interest / 12 months
= 20.03 / 12 = $1.67
hence in 2 months Rita will pay = initial charge + monthly interest * 2
= $126 + $ 1.67 *2 = $ 126 + $3.34
= $ 129 .34
Interest rates are always given an annual interest rate.
Your Welcome :D
(P.S Brainliest Would Be Appreciated)
22.) If point C(8,4) is reflected over the the x-axis. Where is point C! located ? ( )
Answer:
Step-by-step explanation:
Since you are reflecting about the x axis you keep the x coordinate the same and multiply the y coordinate by -1 so you have point (8,-4)
Vince has a rectangle rug in his room with an area of 10 feet. The length of the rug is 18in longer than the width. What are the dimensions of the rug?
Answer:
120x138 in or 11.5x10 feet
Step-by-step explanation:
Step 1:
convert the feet to inches
10(feet)*12(inches)=120 inches
Step 2:
120(width)+18(length)=138 inches
Step 3:
width: 120 in OR 10 feet
length: 138 inches OR 11.5 feet (when divided by 12)
Hope this helps!
Answer:
10 in. x 22.5 in.
Step-by-step explanation:
10+11.5=22.5
10 x 22.5
Find P(5) when p = 0.10.
Find 50% of 36:
Find 25% of 36:
Find 75% of 36:
Answer:
18, 9, 27
Step-by-step explanation:
36 ÷ 2 = 18. Dividing by 2 is the same as multiplying by 50%.
36 ÷ 4 = 9. Dividing by 4 is the same as multiplying by 25%.
Since 25% • 3 = 75%, you can do 9 (from previous) • 3 to get 27.
There are 48 students in a certain class, 25% of this are girls, How many
boys are in the class?
Answer:
There are 36 boys
Step-by-step explanation:
Lorraine threw a football 9.89 meters. Belinda threw the football 12.20 meters. How many meters farther did Belinda throw the football than Lorraine?
Answer:
Belinda threw the ball 2.31 meters farther than Lorraine.
Step-by-step explanation:
To find how many meters farther Belinda threw the ball, we subtract Belinda's distance from Lorraine's distance.
We have that:
Lorraine threw a football 9.89 meters.
Belinda threw the football 12.20 meters.
12.20 - 9.89 = 2.31
Belinda threw the ball 2.31 meters farther than Lorraine.
5 is 1% of what number?
Answer:
500
Step-by-step explanation:
well uh, 5 x 100 is 500 and it’s out of 100%.
Answer:
500
Step-by-step explanation:
Why are tenths, fifths, fourths, and halves easy
to express as percent?
Naomi used a rectangle a square and a right triangle to form figure. What is the area of the shaded region of the figure in square centimeters
Answer:
Nothing.
Step-by-step explanation:
I believe you needed a picture.
Find the missing length.
C =
✓ [?]
9
4
Pythagorean Theorem: a2 + b = c2
Enter
Answer:
Roughly 9.85 Exact: 9.848857081796105
Step-by-step explanation:
4^2 = 16
9^2 = 81
81 + 16 = 97
√97=9.848857081796105
Question 1: What is the solution to the system of equations? ( Look at the picture) Answer part A and Part B. ( Will Mark Brainliest).
Answer:
x-2y= -8
Step-by-step explanation:
Answer:
Step-by-step explanation: Part A:
3x−6y=−12;x−2y=−8
Rewrite equations:
x−2y=−8;3x−6y=−12
Step: Solvex−2y=−8for x:
x−2y=−8
x−2y+2y=−8+2y(Add 2y to both sides)
x=2y−8
Step: Substitute2y−8forxin3x−6y=−12:
3x−6y=−12
3(2y−8)−6y=−12
−24=−12(Simplify both sides of the equation)
−24+24=−12+24(Add 24 to both sides)
0=12
Answer:
No solutions.
Part B: the lines are parallel
WILL GIVE BRAINLIEST Stefan is making new cushion covers for a chair. There are three sizes of
cushions on the chair. What is the surface area of the seat bottom cushion?
A. 990 square inches
B. 846 square inches
C. 320 square inches
D. 756 square inches
Answer: 990
Step-by-step explanation:
(18 x 21) + (3 x 18) + (21 x 18) + (2)(21x3) + (3 x 18) = 990
Answer:
A. 990
Step-by-step explanation:
The decrease in price of an article is 5% of the original price. If the new price is $ 285, what was
the original price?
the scale on a map is 1:25000. how many km on the ground is represented by 6cm on the map?
Given:
The scale on a map is 1:25000.
To find:
How many km on the ground is represented by 6cm on the map?
Solution:
Let x be the km on the ground.
We know that,
1 km = 1000 m
1 m = 100 cm
So,
1 km = 100,000 cm
x km = 100,000x cm
The scale on a map is 1:25000. It means the ratio of map and ground is equal to 1:25000.
[tex]\dfrac{1}{25000}=\dfrac{6}{100,000x}[/tex]
[tex]\dfrac{100,000x}{25000}=6[/tex]
[tex]4x=6[/tex]
[tex]x=\dfrac{6}{4}[/tex]
[tex]x=1.5[/tex]
Therefore, 1.5 km on the ground is represented by 6cm on the map.
1e-3x89 solve this math
Answer:
0.089
Step-by-step explanation:
Jamal spent 1 1/2 hours studying for his science test ruby studied for 1/3 the amount of time that Jamal studied what fraction of an hour did ruby spend studying
Answer:
First square 1 out of 3 are colored. Second square 1 out of 6 are colored in.
Step-by-step explanation:
Choose the model that matches the situation.
A fraction is a way to describe a part of a whole. The fraction of an hour for which Ruby studied is (1/2).
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that Jamal spent 1 1/2 hours studying for his science test, while Ruby studied for 1/3 the amount of time that Jamal studied. Therefore, we can write,
[tex]\rm \text{Time for which Ruby studied} = 1\dfrac12 \times \dfrac13\\\\\text{Time for which Ruby studied} = \dfrac32 \times \dfrac13 = \dfrac12\ hours[/tex]
Hence, the fraction of an hour for which Ruby studied is (1/2).
Learn more about Fraction:
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Oscar wants to make 4 chicken pot pies. The recipe requires 2/3 pound of potatoes for each pot pie. How many pounds of potatoes will oscar need
Answer:
3 1/2
Step-by-step explanation:
Answer:
he would need 2 and 2/3 pounds of potatoes
Step-by-step explanation:
you would add 2/3 together 4 times.
2/3 + 2/3 + 2/3 + 2/3 = 2 and 2/3
so oscar would need 2 and 2/3 pounds of potatoes.
hope I could be of great assistance to you.
5. 7 is 1/4 of which number?
Answer:
22.8
Step-by-step explanation:
5.7 multiplied by 4 is 22.8 as 5.7 is 1/4 or 22.8