Answer:
−2(y+1)
Step-by-step explanation:
factor ..................
A box of 8 cellphones contains two yellow cellphones and six green cellphones. Complete parts (a) through (d) below.
a. If two cellphones are randomly selected from the box without replacement, what is the probability that both cellphones selected will be green?
b. If two cellphones are randomly selected from the box without replacement, what is the probability there will be one green cellphone and one yellow cellphone selected?
c. If three cellphones are selected with replacement (the first cellphone is returned to the box after it is selected), what is the probability that all three will be yellow?
d. If you were sampling with replacement (the first cellphone is returned to the box after it is selected), what would be the answers to (a) and (b)?
Probabilities are used to determine the chance of an event. The following are the summary of the solution.
The probability that the two selected cellphones are green (without replacement) is 15/28The probability that one green and one yellow is selected (without replacement) is 3/7The probability that all three cellphones are yellow (with replacement) is 1/64The probability that the two cellphones are green (with replacement) is 9/16The probability that one green and one yellow is selected (with replacement) is 3/8Given that:
[tex]n = 8[/tex]
[tex]G = 6[/tex] --- Green
[tex]Y = 2[/tex] --- Yellow
(a) Probability that the two cellphones are green (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G - 1}{n-1}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6 - 1}{8-1}[/tex]
[tex]Pr = \frac 68 \times \frac 57[/tex]
[tex]Pr = \frac{30}{56}[/tex]
[tex]Pr = \frac{15}{28}[/tex]
Hence, the probability that the two cellphones are green (without replacement) is 15/28
(b) Probability that one green and one yellow is selected (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{Y}{n-1} + \frac Yn \times \frac{G}{n-1}[/tex] ---- The subtraction means the cellphones are not replaced
This gives
[tex]Pr = \frac 68 \times \frac{2}{8-1} + \frac 28 \times \frac{6}{8-1}[/tex]
[tex]Pr = \frac 34 \times \frac{2}{7} + \frac 14 \times \frac{6}{7}[/tex]
[tex]Pr = \frac 32 \times \frac17 + \frac 12 \times \frac 37[/tex]
[tex]Pr = \frac{3}{14} + \frac{3}{14}[/tex]
Take LCM
[tex]Pr = \frac{3+3}{14}[/tex]
[tex]Pr = \frac{6}{14}[/tex]
[tex]Pr = \frac{3}{7}[/tex]
Hence, the probability that one green and one yellow is selected (without replacement) is 3/7
(c) Probability that the all three cellphones are yellow (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Yn \times \frac Yn \times \frac Yn[/tex]
So, we have:
[tex]Pr = \frac 28 \times \frac 28 \times \frac 28[/tex]
[tex]Pr = \frac 14 \times \frac 14 \times \frac 14[/tex]
[tex]Pr = \frac 1{64}[/tex]
Hence, the probability that all three cellphones are yellow (with replacement) is 1/64
(d1) Probability that the two cellphones are green (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G}{n}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{3}{4}[/tex]
[tex]Pr = \frac{9}{16}[/tex]
Hence, the probability that the two cellphones are green (with replacement) is 9/16
(d2) Probability that one green and one yellow is selected (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
So, we have:
[tex]Pr = \frac Gn \times \frac{Y}{n} + \frac Yn \times \frac{G}{n}[/tex]
This gives
[tex]Pr = \frac 68 \times \frac{2}{8} + \frac 28 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{1}{4} + \frac 14 \times \frac{3}{4}[/tex]
[tex]Pr = \frac 3{16} + \frac{3}{16}[/tex]
Take LCM
[tex]Pr = \frac {3+3}{16}[/tex]
[tex]Pr = \frac {6}{16}[/tex]
[tex]Pr = \frac {3}{8}[/tex]
Hence, the probability that one green and one yellow is selected (with replacement) is 3/8
Read more about probabilities at:
https://brainly.com/question/795909
3 Which of the scientists responsible for cell theory would be the most likely to write a book titled Cells Come from Cells?
Hooke
Schleiden
Virchow
Schwann
Answer:
Virchow
Step-by-step explanation:
He was the one who discovered that all cells come from pre-existing cells, the third part of the cell theory.
HELP NOW PLEASE NOW ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT NOW PLEASE!!!
Answer:
you can check the picture, i tried to make it as simple as possible. so I answered by the format.
11. Write in the expanded notation : (a) 85, 33, 48, 925 (b) 8, 25, 38, 201 (c) 2,00, 00, 63, 670 (d) 8,57,00, 07, 005 class 5
please mark this answer as brainlist
Round each number to the nearest hundredth.
a. 8.7495980
b. 0.72091
C. 9.3113
d. 23.0368
e 6.9788
Answer:
a. 8.75
b. 0.72
c. 9.31
d. 23.04
e. 6.98
Step-by-step explanation:
a.
in this number 8.7495980
the digit in the hundredth place is 4
the digit in the thousandth place is 9
Since 9 ≥ 5 ,then 8.7495980 rounded to nearest hundredth is :
8,75
b.
in this number 0.72091
the digit in the hundredth place is 2
the digit in the thousandth place is 0
Since 0 < 5 ,then 0.72091 rounded to nearest hundredth is :
0.72
c.
in this number 9.3113
the digit in the hundredth place is 1
the digit in the thousandth place is 1
Since 1 < 5 ,then 9.3113 rounded to nearest hundredth is :
9.31
d.
in this number 23.0368
the digit in the hundredth place is 3
the digit in the thousandth place is 6
Since 6 ≥ 5 ,then 23.0368 rounded to nearest hundredth is :
23.04
e.
in this number 6.9788
the digit in the hundredth place is 7
the digit in the thousandth place is 8
Since 8 ≥ 5 ,then 6.9788 rounded to nearest hundredth is :
6.98
a long distance runner ran 10,000 meters in 28mins.work out his speed in (a)meters/min B. meters/sec
answer:
Times it or multiply to get 2800000 then It should be B meter's by seconds.
Step-by-step explanation:
Find the limits, if they exist lim(x,y)→(0,0) (3x^2/(4x^2+4y^2))
(1) Along the x-axis, we have y = 0, so that
[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2} =\lim_{x\to0}\frac34= \frac34[/tex]
(2) Along the y-axis, we take x = 0, then
[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{y\to0} \frac0{4y^2} = 0[/tex]
(3) Along the line y = mx, we have
[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2+4(mx)^2} = \lim_{x\to0}\frac{3x^2}{4x^2+4m^2x^2} = \frac3{4+4m^2}[/tex]
which means the limit is dependent on the slope of the line m.
(4) nonexistent
Select the best answer for the question.
14. What is the value of 3(-9) +6 |-6|?
A. -63
O B. 27
O C. 9
D. 63
O Mark for review (Will be highlighted on the review
Answer:
9 is the correct answer
hope that it will help you
ANSWeR RIGHT ANDIL ALSO GIVE 5 STAR AND BRAINLIEST
Answer:
3. Sanford Township, Minnesota
4. Inner Mongolia, China
5. Arunachal Pradesh, India
6.Almaty Region, Kazakhstan
7.Madhya Pradesh, India
Step-by-step explanation:
How would you describe the shape of the distribution of the data? How is it skewed?
a.
The distribution is not skewed at all.
b.
The distribution is somewhat skewed to the right.
c.
The distribution is somewhat skewed to the left.
d.
The distribution is symmetrical.
Answer:
the normal distribution is a symmetric distribution with no skew. ... A left-skewed distribution has a long left tail. Left-skewed distributions are also called negatively-skewed distributions. That's because there is a long tail in the negative direction on the number line.
Answer:
the answer is D
Step-by-step explanation:
because I'm right
g(x) = sqr root of x+3
What is the domain of g?
Answer:
[tex]all \: real \: numbers \: except \: \\ x + 3 < 0 \\ \: \: \: \: x < - 3[/tex]
Answer:
X is the domain and sqr root of X+3 is the range.
20 points if these are correct pls.
Answer:
16. 42
21. 18
Step-by-step explanation:
What is the largest amount which can be borrowed over three years at 4.5% APR if the largest
affordable monthly payment is $279? (Round to the nearest ten dollars.)
Answer:
$12.5 dollars
Step-by-step explanation:
cc
14.127 divided by 5.1 show work
9514 1404 393
Answer:
2.77
Step-by-step explanation:
Usually we like to do long division with the divisor being an integer. Here, that means the decimal points in both numbers are moved one place to the right. This makes the division be 141.27/51 = 2.77. The work is shown in the attachment.
21. Six more than three times a number is equal to the number itself. Write the equation and find the number.
Answer:
-3
Step-by-step explanation:
6 + (six more) 3x (3 times a number) = x (is equal to the number)
6 + 3x = x
6 + 2x = 0
2x = -6
x = -3
Help with number 7 picture above
9514 1404 393
Answer:
next: ←, ↑, →, ↓, ←
Step-by-step explanation:
It appears you want to identify a rule describing the sequence, then provide several additional elements in the sequence.
It looks to me like each successive element has been rotated 90° CW from the previous one.
Continuing that pattern, the arrows will point left, up, right, down, left.
y = 10 when x = - 4 , find y when x = 12
Answer:
y = -30
Step-by-step explanation:
Set the ratio: [tex]\frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex]
Let:
[tex](x_1 , y_1) = (-4 , 10)\\(x_2 , y_2) = (12 , y)\\[/tex]
Plug in the corresponding terms to the corresponding variables:
[tex]\frac{-4}{10} = \frac{12}{y}[/tex]
First, cross multiply.
[tex](-4 * y) = (10 * 12)\\-4y = 10 * 12\\-4y = 120[/tex]
Next, isolate the variable, y. Divide -4 from both sides of the equation:
[tex]\frac{-4y}{-4} = \frac{120}{-4}\\y = \frac{120}{-4}\\y = -30[/tex]
-30 is your answer for y.
The sum of three times a number, x, and 12
Answer:
The sum of three times a number and twelve is fewer than twenty translates into an inequality
3x+12 < 20
Step-by-step explanation:
it's not the perfect answer of your question but it's kind of similar to it
what is the perimeter of an equilateral triangular lamina of side length 12 cm
Answer:
It is 36 cm
Step-by-step explanation:
In equilateral triangle, all sides are equal.
[tex]{ \sf{perimeter = side + side + side}}[/tex]
but side = 12 cm
[tex] { \sf{p = (12 + 12 + 12)}} \\ { \sf{p = 36 \: cm}}[/tex]
Answer: Perimeter = 36 cm
Concept:
Here, we need to know how to find the perimeter of an equilateral triangle.
An equilateral triangle is a triangle in which all three sides have the same length.
Perimeter (equilateral triangle) = 3s
s = side length
Solve:
Given information
Side length = 12 cm
Given expression
Perimeter = 3s
Substitute values into the expression
Perimeter = 3 (12)
Simplify by multiplication
Perimeter= [tex]\boxed{36cm}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Help!
Solve the equation: a/0.4 = –20
Answer:
i think this might be it? but most likely :) <3
Step-by-step explanation:
Convert 2 yards to centimeters. Round to the nearest whole
centimeter.
Answer:
183 centimeters
Step-by-step explanation:
2 multiply the length value by 91.44
order these numbers in ascending order. -11/3, 90%, 89/4, 2
Answer:
[tex] - \frac{11}{3} \: \: » \: \: 90\% \: » \: \: 2 \: \: » \: \: \frac{89}{4} [/tex]
If UW = 9x - 9, what is UW in units?
5
6
30
36
Plane P is a cross-section of the solid below. What shape is the cross section?
A. not enough information
B. hexagon
C. pentagon
D. rectangle
Answer:
B. hexagon
Step-by-step explanation:
Solve for x: 4 − (x + 2) < −3(x + 4)
Answer: x < 7
Step-by-step explanation:
Find the value of x.
Answer:
x=60
Step-by-step explanation:
x=180-120
Find the solution set
2(x + 4 = 8
Answer:
x=0
Step-by-step explanation:
0+4=4
4x2=8
it's pretty simple once you get the hang of it
find the slope of the line
Answer:
m = (6-5)/(4-1)
m = 1/3
.............
answer this question pls <3
Answer:
p = 4a
p = a+a+a+a
Step-by-step explanation:
the first one is shorter
please help me it's for today
Check the pictures attached for the answers.