The probabilities that could complete the model and maintain a total sum of 1 are options B and E.
B: P(green) = 3/8, P(yellow) = 1/8
E: P(green) = 3/7, P(yellow) = 1/14
To determine the probabilities that could complete the model, we need to consider the sum of all probabilities. In a probability model, the sum of all probabilities should equal 1.
Given the probabilities P(red) = 2/7 and P(blue) = 3/14, let's calculate the sum:
P(red) + P(blue) = 2/7 + 3/14 = 4/14 + 3/14 = 7/14 = 1/2
Since the sum of P(red) and P(blue) is 1/2, we need to find the probabilities for P(green) and P(yellow) that, when added to 1/2, give a total sum of 1.
Looking at the answer key options:
A: P(green) = 2/7, P(yellow) = 2/7
B: P(green) = 3/8, P(yellow) = 1/8
C: P(green) = 1/4, P(yellow) = 1/4
D: P(green) = 5/21, P(yellow) = 11/21
E: P(green) = 3/7, P(yellow) = 1/14
Let's check the sums:
A: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 2/7 + 2/7 = 4/14 + 3/14 + 4/14 + 4/14 = 15/14 ≠ 1 (incorrect)
B: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/8 + 1/8 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)
C: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 1/4 + 1/4 = 4/14 + 3/14 + 7/14 + 7/14 = 21/14 ≠ 1 (incorrect)
D: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 5/21 + 11/21 = 6/14 + 3/14 + 10/14 + 11/14 = 30/14 ≠ 1 (incorrect)
E: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/7 + 1/14 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)
Based on the calculations, the probabilities that could complete the model and maintain a total sum of 1 are options B and E. So, the correct answers are:
B: P(green) = 3/8, P(yellow) = 1/8
E: P(green) = 3/7, P(yellow) = 1/14
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area of it plssssssssssssSSssssssSSSsSSSSs
Answer:
40units²
Step-by-step explanation:
find the shapes you know the formula of. There's two shapes a rectangle and a trapezoid.
do the formula for rectangle
A = bh
A = 8×2
A = 16
Now the formula for Trapezoid
A = 1/2h(b+b)
A = 1/2×4(4+8)
A = 1/2×4(12)
A = 1/2(48)
A = 24
16+24 = 40
NO LINKS OR WEBSITES ALLOWED! (Especially bitly)
What is the volume of this figure
a
12 cubic units
b
16 cubic units
c
28 cubic units
d
40 cubic units
What is the common difference for this arithmetic sequence?
-5, -1, 3, 7, 11,...
A. 4
B. 2
C. 5
D. 3
Answer:
5
Step-by-step explanation:
Negative is always negative positive is always positive
The question is in the screen shot pls help
I NEED THIS ASAP. What is m
Answer:
The measure of ∠DFE is 67°.
Step-by-step explanation:
Angle GFE is a straight angle, meaning that its measure is 180°, per se.
180 - 113 = m of ∠DFE
180 - 113 = 67
How do I graph the line with slope of 3 and Y-intercept if -6?
Step-by-step explanation:
For drawing the graph , we Firstly need to find the equation of the line . We can find the line using Slope intercept form . Here ,
y intercept = (-6)slope = 3 .We know slope intercept form as ,
[tex]\implies y = mx + c \\\\\implies y = (3)x + (-6) \\\\\implies \boxed{\boxed{y = 3x - 6 }}[/tex]
Now we need to plot the graph of y = 3x -6. Refer to attachment for graph .
10. A student answers 90% of the questions
on a math exam correctly. If he answers
27 questions correctly, how many questions
are on the exam?
9514 1404 393
Answer:
30
Step-by-step explanation:
Let q represent the number of questions on the exam.
27 = 0.90q . . . . . 90% of them is 27
27/0.9 = q = 30 . . . . . divide by the coefficient of q
There are 30 questions on the exam.
Answer:
There are thirty questions on the test.
Step-by-step explanation:
You can discover this by doing 27 divided by . 90 which equals 30
What is the volume of a sphere with a diameter of 9.9 cm, rounded to the nearest
tenth of a cubic centimeter?
Answer:
the volume of the sphere is 507.78981 cm^3
Step-by-step explanation:
The computation of the volume of the sphere is given below:
Given that
The Diameter is 9.9 cm
So, the volume of the sphere is
= 4 ÷ 3 ×π × r^3
= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3
= 4 ÷ 3 × 3.14 × 4.95^3
= 507.78981 cm^3
Here r denotes the radius
And, the radius would be comes by dividing the diameter from 2
Hence, the volume of the sphere is 507.78981 cm^3
Answer:
508.0
Step-by-step explanation:
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{9.9}{2}=4.95
radius=
2
diameter
=
2
9.9
=4.95
centimeters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (4.95)^3
3
4
π(4.95)
3
508.047368364254
508.047368364254
Use calculator
\approx 508.0\text{ cm}^3
≈508.0 cm
3
Divide. Round to the nearest tenth. .48÷9.23
[tex].48 \div 9.23[/tex]
April and Cody invest $5,000 each at their local bank. April invests at a 4% simple interest rate for three years. Cody invests at a 4% compound interest rate, and earns $624.32 in interest. What is the difference in their account balances at the end of 3 years?
Answer:
106.43
Step-by-step explanation:
The difference in their account balances at the end of 3 years is $24.32
Calculations and ParametersTo solve the compound interest for Cody
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.04/1)(1)(3)
A = 5,000.00(1 + 0.04)(3)
A = $5,624.32
To solve for the simple interest for April
P * T * R/100
5000 * 4 * 3/100
= 60,000/100
= 600.
We add the S. I of April's investment
= 5,000 + 600
= $5600.
Therefore, the difference between their account balances is $5,624.32 - $5600 = $24.32
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EASY 7TH GRADE MATH, WILL GET BRAINLIEST
Answer:
C. $45
Step-by-step explanation:
If 2 pounds of coffee costs $17.95, we divide this number by two to get the cost of one pound of coffee.
This value is equal to $8.975 and we multiply this number by 5 to get 5 pounds of coffee.
This is about equal to option C. $45
Braden is comparing statistics about the prices of DVD players from two different stores. Compare the measures of center of the data sets. Select all that apply
Answer:
Part A:
A,C
Part B:
B,C
what is 9,030×29,234?
Answer:
263,93802
Step-by-step explanation:
xd
Wite the ratio for sin A.
Answer:
the ratio is 182
Step-by-step explanation:
sana po makatulong
Answer:
sine = opposite leg / hypotenusesin A = BC / ABsin A = 13/85sin A ≈ 0.15Jose can eat 5/8 of a pizza in 1/4 hours. How many hours will it take him to eat the whole pizza?
Answer: 2/5 of an hour
Step-by-step explanation:
ok so 5/8 = .625 just to begin with...
and as a ratio it would be .625 = .25
8/8 (1)
So I did .25x1=.25
.25x.625= 0.4 or as a fraction 2/5
Can you help me with this problem please?????
Answer:
The answer is the first option I hope it helps
Which coordinates plane correctly shows Mia’s scores for the first three rounds of play?
Use a t-distribution to find a confidence interval for the difference in means using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using . A 95% confidence interval for using the paired difference sample results , , . Give the best estimate for , the margin of error, and the confidence interval. Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places.
Answer:
hi sorry i just want points YOSHIII :3
Step-by-step explanation:
Work out the equation of the line that
is parallel to the line y= 5x - 3
passes through (-2, -4)
Answer:
y = 5x +6
Step-by-step explanation:
the slope of the given equation is 5. a slope of a line parallel has the same slope. so 5
y- -4 = 5(x - -2)
y+4 = 5x +10
y = 5x +6
two parallel lines are cut by a transversal what is the measure of 2
Answer:
b 80
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A P EE X
Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below.
Participation in the School Band
Year
Number of students
2010
48
2011
52
2012
55
2013
59
Melanie uses the ordered pairs (2010, 48) and (2013, 59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. How will the two girls’ equations compare?
They will have the same slopes and the same y-intercepts.
They will have the same slopes but different y-intercepts.
They will have different slopes but the same y-intercepts.
They will have different slopes and different y-intercepts.
Answer:
B. They will have the same slopes but different y-intercepts.Step-by-step explanation:
MelanieThe slope:
m = (59 - 48)/(2013 - 2010) = 11/3The y -intercept:
the starting point, 2010The equation off the line:
y = 11/3x + 2010TracyThe slope:
m = (59 - 48)/(3 - 0) = 11/3The y -intercept:
the starting point, 0The equation off the line:
y = 11/3xAs we see they get same slopes but different y-intercepts.
Correct choice is B
Answer:
B) They will have the same slopes but different y-intercepts.
Step-by-step explanation:
I got 100% :>
Please help me PLEASE and NO LINKS OR YOU WILL BE REPORTED. I need help choosing the right statements also the line plot I chose is correct so you can use it to help you.
The first one is “The greatest length is 2 inches more than the least length.”
The second is “Less than half the lures are at least 3 inches long.”
The third is “The number of lures greater than 2 1/2 inches long is less than the number of lures less than 2 1/2 inches
The fourth is “The greatest length is 2 inches.”
The fifth is “The number of lures greater than 2 1/2 inches long is equal to the number of lures less than 2 1/2.” Please help me
Answer:
why no links? also I think the answer is 5 but I'm just guessing
Answer:
g sa Bshsixuzsh- shshshakka
1 . a plane flies 120 km on a bearing of 045° and then flies 150 km due east . how far east of the starting point is the plane?
2. an aircraft flies due north from airport x to y and then flies due west to z. if y is equidistant from x and z. calculate the bearing of x from z
pls with whole procedure pls help me
Answer:
1.Assuming that your teacher is not an ars. ewith trick questions who wants you to solve this on an arbitrary point on a spherical surface:
2.The bearing of x from y is 070 and the bearing of z from y is 160, where x, y, and z are three points in the plane .if y is equidistant from x and z, find the bearing of z from x
8b + 4 - 4b + 2 = what
8b+4-4b+2= 4b+6
collect the like terms and add
PLEASE ANSER URGENT !!!!!
Luca decides to play Wheel of Letter. To play the game, contestants spin a wheel with 26 equal sections, letter A through Z. If the pointer lands on any letter in the phrase “COUNTRY PHRASE,” the contestant wins a prize.
What is the probability that Luca will win Wheel of Letters?
The probability that Luca will win Wheel of Letters for this considered case is 6/13
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the sample space of result of wheel of letters spin is
S = {A, B, ..., Z} , thus, n(S) = size of S = 26
Let E = event that the spinner will stop in one of the letters in “COUNTRY PHRASE”
Then, the outcomes in favor of E are {'P', 'O', 'C', 'A', 'T', 'R', 'Y', 'N', 'H', 'S', 'U', 'E'}
Thus, n(Favorable cases for E) = 12 (counted unique ones, and not repeated), as each letter is only 1 time in the spinner.
Thus, we get:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{12}{26} =\dfrac{6}{13}[/tex]
Thus, the probability that Luca will win Wheel of Letters for this considered case is 6/13
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Use △GHJ, where A, B, and C are midpoints of the sides. When GH = 7z−1 and CB = 4z−3, what is GA?
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r= 4 cm
[? ]%
Round to the nearest tenth of a percent.
please help
Answer: 31.8
Step-by-step explanation:
The probability that a randomly selected point within the circle falls
in the red shaded area is; 15.9%
What is the probability?The area of the circle is gotten from the formula;
A = πr²
A = π * 4²
A = 50.265 cm²
Area of triangle = ¹/₂ * bh
Here b = h = 4. Thus;
A = ¹/₂ * 4 * 4
A = 8 cm²
Thus;
P(randomly selected is shaded) = 8/50.265
P(randomly selected is shaded) = 0.159 = 15.9%
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482 – 412 + 286 - 12 x 204solve
Answer:
70,176
Step-by-step explanation:
Given that
482 - 412 + 286 - 12 × 204
We need to solve the above equation
= 482 - 412 + 286 - 12 × 204
= 70 + 286 - 12 × 204
= 356 - 12 × 204
= 344 × 204
= 70,176
Hence, the answer to the given equation is 70,176
The same is to be considered and relevant
Which equation can be used to find volume?
Answer:
V=l*w
Step-by-step explanation:
Plz help me well mark brainliest if correct!!
Answer:
(1, 1)
Step-by-step explanation:
not 100% sure though, but hope it helps