Answer:
[tex](b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}[/tex]
[tex](c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]P(Red) = \frac{2}{7}[/tex]
[tex]P(Blue) = \frac{3}{14}[/tex]
Required
Which completes the model
Let the remaining probability be x.
Such that:
[tex]P(Red) + P(Blue) + x = 1[/tex]
Make x the subject
[tex]x = 1 - P(Red) - P(Blue)[/tex]
So, we have:
[tex]x = 1 - \frac{2}{7} - \frac{3}{14}[/tex]
Solve
[tex]x = \frac{14 - 4 - 3}{14}[/tex]
[tex]x = \frac{7}{14}[/tex]
[tex]x = \frac{1}{2}[/tex]
This mean that the remaining model must add up to 1/2
[tex](a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}[/tex]
[tex]P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}[/tex]
Take LCM
[tex]P(Green) + P(Yellow)= \frac{2+2}{7}[/tex]
[tex]P(Green) + P(Yellow)= \frac{4}{7}[/tex]
This is false because: [tex]\frac{4}{7} \ne \frac{1}{2}[/tex]
[tex](b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}[/tex]
[tex]P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}[/tex]
Take LCM
[tex]P(Green) + P(Yellow)= \frac{3+1}{8}[/tex]
[tex]P(Green) + P(Yellow)= \frac{4}{8}[/tex]
[tex]P(Green) + P(Yellow)= \frac{1}{2}[/tex]
This is true
[tex](c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}[/tex]
[tex]P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}[/tex]
Take LCM
[tex]P(Green) + P(Yellow)= \frac{1+1}{4}[/tex]
[tex]P(Green) + P(Yellow)= \frac{2}{4}[/tex]
[tex]P(Green) + P(Yellow)= \frac{1}{2}[/tex]
This is true
Other options are also false
Answer:
B and C
Step-by-step explanation:
i jus took le test
Micah and Lucy are in the school play.
Micah memorizes 12 lines of the script the first day and 10 lines each day after that.
Lucy memorizes 8 lines of script the first day and 12 lines each day after that.
What ordered pair represents the total number of lines they have memorized after 5 days?
(12, 8)
(40, 48)
(50, 60)
(52, 56)
Answer:
52,56
Step-by-step explanation:
Find the volume of the prism.
Answer:
210 is volume
Step-by-step explanation:
volume is equal to length times Width times Height
8 1/3 times 4 1/5 time 6
= 210
have a wonderful day!
WILL GIVE BRAINlest!!
Answer:
C. i think :)
Step-by-step explanation:
sorry if I'm wrong :(
hope it helps
help me please asap im confused
The Answer is:
B
pls give me brainiest
Answer:
The answer B
Step-by-step explanation:
When the water falls from the reservoir, the channel guides it to a turbine where the turbine spins to generate electricity. I don't really know of any other way to explain it to you.
Hope you get it now :)
Use the information to answer the following question.
The bottom of a swimming pool is 10 feet below the surface of the water in the pool. The surface of the water is represented by the number 0, and the bottom of the pool is represented by the number -10. The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.
What number represents the location of the diving board?
A.
20
B.
0
C.
10
D.
1/10
Answer:
C
Step-by-step explanation:
Since the difference between 0 and -10 is 10, this means that the difference between the diving board and the pool also has to be 10. Therefore, the diving board is 10 feet above the water since 0+10 is 10.
if there is a total volume of 5,090km3 of liquid surface fresh water, what volume is found in swamps?
What is the equation of the quadratic that models the data? 15pts!!!!
From the table, the ratio of white socks to brown socks is 9/8
Select two ratios equivalent to the ratio of white socks to brown socks.
A) 35/32 B) 40/46 C) 36/33 D) 45/40
Answer:
D
Step-by-step explanation:
To find an equivalent ratio it must be multiplied or divided by the same number.
I multiplied 8 by 5 which got me 40
Then I multiplied 9 by 5 which got me 45
This means the equivalent ratio is 45/40
PLEASE HELP I CANNOT FAIL! (the question is the picture below!)
Answer:
The answer is A
Step-by-step explanation:
Classify this triangle.
A triangle with two sides of equal length. The angle where these two sides meet is ninety degrees.
A. Acute scalene triangle
B.Obtuse isosceles triangle
C. Right isosceles triangle
D Right scalene triangle
A triangle with two sides of equal length and the angle where these two sides meet is 90° is Right isosceles triangle. Therefore, option C is the correct answer.
What is a right triangle?A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.
A right triangle with two equal-length legs is called an isosceles right triangle. The corresponding angles would also be congruent because the lengths of the two legs of the right triangle are equal. As a result, the two acute angles and two legs of an isosceles right triangle are congruent.
Therefore, option C is the correct answer.
To learn more about the right angle triangle visit:
https://brainly.com/question/3770177.
#SPJ3
PLS HELP 20 POINTS
what are the approximate dimensions for a cylinder that has a volume of 5000cm^3? show your work?
Answer:
Step-olayyby-step explanation:
track coach records the number of miles that he ran per day over the month. The stem-and-leaf plot below summarizes this data.
I WILL GIVE BRAINLY IF CORRECT, NO LINKS PLEASE
Summarize the numeric data by identifying the measures for the data distribution listed below.
1. Identify the mean and explain your solution process for each using detail and mathematical language.
2. Identify the median and explain your solution process for each using detail and mathematical language.
3. Identify the mode and explain your solution process for each using detail and mathematical language.
4. Identify the range and explain your solution process for each using detail and mathematical language.
Answer:
a.) For the Junior Varsity Team, mean would be the appropriate measure of center since the data is symmetric or well-proportioned while we should use standard deviation for getting the measure of spread since it also measures the center and how far the values are from the mean.
b.) For the Varsity Team, the median would be the appropriate measure of the center since the data is skewed left and not evenly distributed so median could be used since it does not account for outliers while we use IQR or interquartile range in measuring the spread of data since IQR does not account for the data that is skewed.
Step-by-step explanation:
i think this is the answer sorry if i am wrong
Step-by-step explanation:
I don't know just need points
help me find this area of this triangle
Answer:
54
Step-by-step explanation:
Triangle's Area Formula
(Base*Height)/2
(9*12)/2
108/2
=54
Answer:
54 u²
Step-by-step explanation:
finding the area of a rectangle, we need the formula: A=1/2bh
A=1/5(9)(12)= 54
54 u²(since they dont give us any units)
The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures m by m. What will be the area of the playgrounds?
My last review question before the big test! Can anyone explain this one to me? It's percentages cri
Answer:
B. 5000
Step-by-step explanation:
To solve this I did 873x10.99 and got 9594.27
I did 52% of 9594.27 and got 4989.02 which means it'll be about 5000
Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?
A
B
C
D
Rewrite the following equation in slope-intercept form.
18x + 14y + 15 = 0
Answer:
y=-9/7x-15/14
Step-by-step explanation:
Slope-intercept form is y=mx+b
The y-coordinate is on one side, and the slope, x-coordinate, and y-intercept are on the other side.
18x+14y+15=0
-15 -15
18x+14y=-15
-18x -18x
14y=-15-18x
14y=-18x-15
÷14 ÷14
y=-9/7x-15/14
Hope this helps!
Write an equation in simplest form for:
y is x divided by 17 plus 17.
Answer:
y = x/17 + 17
Step-by-step explanation:
help for brainliest plz
Answer:
1) C
2) 1st, 3rd and 4th.
3) [tex]7.625 * 10^3[/tex]
5) A
6) [tex]8.749*10^5[/tex]
7) B
HELP AND QUICK
Which solid can be made from the above pattern?
A
a cube
B
a cone
C
a cylinder
D
a square pyramid
Answer:
D or A
Step-by-step explanation:
i think but dont trust me i hope so
1/9 * 1/2 ^ 4 (as a fraction)
You have $11 and earn $0.50 for each cup of orange juice you sell. Write an equation in two variables that represents the total amount A (in dollars) you have after selling j cups of orange juice.
A= ??
Answer:
A = 0.50j
Step-by-step explanation:
Your total savings, A, are equal to the $0.50 you earn times the number of cups you sell, j.
Or, A = 0.50j.
Good luck :) I hope this helps
4 x 3 + 2 x 9 - 40
PLEASE!!!
The answer is 86
Following PEMDAS, which is:
parentheses
exponents
multiplication
division
addition
subtraction
I found that the answer was 86
Answer:
-10.
Step-by-step explanation:
Step 1: Explain/define
This problem contains more than one operation. This means we should solve this using a special acronym known as PEMDAS.
P (Parenthesis)
E (Exponents)
M/D (Multiplication/division, whichever comes first)
A/S (Addition/subtraction, whichever comes first)
This is the correct sequence of steps when solving expressions with multiple operations.
PEMDAS can be remembered using the mnemonic "Please Excuse My Dear Aunt Sally."
------------------------------------------------------------
Step 2: Solve.
REMEMBER PEMDAS!
Expression given: 4 × 3 + 2 × 9 - 40
There are no parentheses.
There are no exponents.
There is multiplication, but no division.
4 × 3 + 2 × 9 - 40
12 + 18 - 40
There is addition and subtraction. Remember to solve whichever comes first.
12 + 18 - 40
30 - 40
30 - 40 = -10.
I, therefore, believe the answer to 4 × 3 + 2 × 9 - 40 is -10.
Please let me know if you have any further questions.
Please help me answer! :)
(the question can have more than once answer if multiple are correct)
Answer:
b,d,e
Step-by-step explanation:
3(4x+3)=12x+9
b)3(3+4x)=9+12x
=12x+9
d)4x+3+4x+3+4x+3=4x+4x+4x+3+3+3
=12x+9
e)12x+9
There are 8 boys for every 3 girls at a concert. If there are 220 people at the concert, what is the difference between the total number of boys and girls at the concert?
Answer:
100
Step-by-step explanation:
First we get the ratio of 8:3 for the amount of boys to girls.
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 8 + 3 = 11
Part A = 8 and Part B = 3 are numerators for each fraction.
The fractions are then:
8/11 and 3/11
8/11 for boys
and 3/11 for the girls
Now we just multiply 220 by these fractions:
220 * 8/11 = 160
220 * 3/11 = 60
Then subtract:
160 - 60 = 100
Answer:
There are 60 girls and 160 boys
Step-by-step explanation:
Five times the difference of a number and 12 minus 4 times the same number is – 36. What is the equation?
Answer:
(5x - 12) - 4x = -36
Step-by-step explanation:
Answer:
(5x - 12) - 4x = -36
Step-by-step explanation:
A computer store bought a program at a cost of $20 and sold it at a selling price of $25. Find the percent markup.
Answer: 25%
Step-by-step explanation: Percent Markup= new-original/orignal=25-20/20=5/20=25/100=25%
Help, me easy and fast! Just dont understand it
Answer:
1. She would have 67.5 dollars
2. 23 weeks
3. 11.25/week
4. 3:2
Step-by-step explanation:
1. 45/4 = 11.25. 11.25 x 6 = 67.5
2. 250/11.25 = 22.22 (rounding up would be 23 weeks)
3. 11.25/week
4. 3:2 (just flip the ratio around)
sorry if some are incorrect
Answer:
$67.50
Step-by-step explanation:
What you do is you divide $45 by 4, which is 11.25, which you then mutiply by 6, which equals 67.5
WILL GIVE BRAINLest!!!!
Answer:
C. -1/3
Step-by-step explanation:
Slope of line is y=-1/3x+4/3
hence the line parallel would be -1/3
Answer:
C. -1/3 is the slope to any line parallel to line q.
Step-by-step explanation:
Have a nice day!
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. (PLEASE HELP!!!!!! THIS IS TIMED!!!!!! PLEASE HELP!!!!!!)
Answer:
1/4
Step-by-step explanation:
-7 - -9/4- -4
2/8 = 1/4