Answer:
Please see the explanation below for proof
Step-by-step explanation:
Probability of choosing black ball from the bag
[tex]\frac{b}{b+r}[/tex]
Probability of choosing red ball from the bag
[tex]\frac{r}{b+r}[/tex]
After the addition of c balls of correspondent color –
P (R2/B1) [tex]= \frac{r}{(r+b+c)}[/tex]
P (R2/B2) [tex]=\frac{r+c}{(r+b+c)}[/tex]
B1 and B2 are mutually exclusive event
P (B1/R2) = [tex]\frac{\frac{r}{(r+b+c)} *\frac{b}{b+r}}{\frac{r}{(r+b+c)}*\frac{b}{b+r} + \frac{r+c}{(r+b+c)}* \frac{b}{b+r}}[/tex]
P (B1/R2) [tex]=\frac{b}{(r+b+c)}[/tex]
Hence, Proved
Please help!!!!
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Answer:
The value of f(3) is -2.
Step-by-step explanation:
This is a recursive function. So
[tex]f(1) = 2[/tex]
Now, we find f(2) in function of f(1). So
[tex]f(1+1) = f(1)^2 - 3[/tex]
[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]
Now, with f(2), we can find the value of f(3).
[tex]f(2+1) = f(2)^2 - 3[/tex]
[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]
The value of f(3) is -2.
Hurry I am timed Which tiny, round “factory” puts together protein and is often found in the endoplasmic reticulum?
ribosome
chromosome
Golgi body
chloroplast
Answer:
the answer is ribsome
The ribosome serves as the site and carries the enzymes necessary for protein synthesis. They are often takes the shape of small round particles attached in the endoplasmic reticulum.
Decrease £14120 by 4% Give your answer rounded to 2 DP.
Answer:
(14120/100)*96 = £13,555.20
Step-by-step explanation:
Answer:
£13,555.20
Step-by-step explanation:
14120*4=56480
56480+14120=70,600
then 70,600+20
on a cauculaiter it will give you 70,620 but it is 70,600.20
then 14,1000.50-1,555.30=13,55.20
hope it is helpfull
Simplify the inequalities and match them with the graphs that represent them. 7x < 42 3x >15 2x > 12 X + 1 < 8 T G DEL ਨੂੰ ਜਨ : ' ! 2 ! ! T } ts reserved
Answer:
14 times pie = 69
Step-by-step explanation:
i need help please and thank you
Answer:
F- the first answer choice
Step-by-step explanation:
Answer:
answer is h
Step-by-step explanation:
a is at -3 1/2, 3 1/2 b is at 5, -2 1/2
Which statement must be true according to the dot plot?
The data is skewed to the right and shows that she never scored fewer than 2 points or more than 12 points in a game.
The data is skewed to the right and shows that she scored 11 points in more games than all of the other games combined.
The data is skewed to the left and shows that she never scored fewer than 2 points or more than 12 points in a game.
The data is skewed to the left and shows that she scored 11 points in more games than all of the other games combined.
Answer: c
Step-by-step explanation:
just did on edg :) got a 100%
Answer:
c
Step-by-step explanation:
Hamdan scored 8 out of 10 on his history quiz. Which is his score as a fraction in simplest form?
2 over 5
4 over 5
6 over 10
Answer:
4 over 5
Step-by-step explanation:
The simplist form of 8/10 is 4/5.
Answer: 8/10 is a 4/5
Step-by-step explanation:
Which set of angles will be complimentary
∠1 + ∠3 + 90° = 180°
∠1 + ∠3 = 90°
∠3 = ∠4 (vertically opposite angles)
∠1 + ∠4 = 90°
Therefore, the answer is ∠1 + ∠4
Hal earns n dollars per hour. Next month he
will receive a 296 raise in pay per hour. The
expression n +0.02n is one way to represent
Hal's pay per hour after the raise Write an
equivalent simplified expression that will
represent his pay per hour after the raise.
Answer:
[tex]Total = 1.02n[/tex]
Step-by-step explanation:
Given
[tex]Earnings = n[/tex]
[tex]Raise = 2\%[/tex] --- not 296
[tex]Total = n + 0.02n[/tex]
Required
Simplify the expression for total earning
The total amount is derived from:
[tex]Total = Earnings + Raise * Earnings[/tex]
[tex]Total = n + 2\% * n[/tex]
Express percentage as decimal
[tex]Total = n + 0.02 * n[/tex]
Now, we can solve further:
[tex]Total = n + 0.02n[/tex]
[tex]Total = 1.02n[/tex]
Hence, the simplified expression is 1.02n
Answer:
1.02n
Step-by-step explanation:
Grace and her friend are doing some back to school shopping , Grace buys 4 binders and notebooks for 26.50 totalHer friend spends a total of $21.00 on 3 binders and 6 notebooks
Answer:
What is the question asking to answer?
Step-by-step explanation:
Answer:
$19:50
Step-by-step explanation:
Write a system of equations to represent the problem. Let x represent the cost of a binder, and let y represent the cost of a notebook.
Grace buys 4 binders and 7 notebooks for $26.50 total, so the equation 4x+7y=26.50 represents how much Grace spends.
Grace's friend buys 3 binders and 6 notebooks for $21.00 total, so the equation 3x+6y=21 represents how much her friend spends.
You can use this system of equations to find how much money Grace and her friend spend on notebooks:
4x+7y=26.50
3x+6y=21
Next, find how much Grace and her friend spent on notebooks. Start by finding the cost of one notebook. Use elimination to solve for y. .
3(4x+7y)=3(26.50)
–
12x+21y = 79.50
–
4(3x+6y)=
–
4(21)
–
12x–24y =
–
84
–
3y =
–
4.50
y = 1.50
Each notebook costs $1.50. Grace and her friend buy a total of 13 notebooks, so multiply to find how much money they spend on notebooks.
13$1.50=$19.50
Grace and her friend spend $19.50 total on notebooks.
Candice is preparing for her final exam in Statistics. She knows she needs an 62 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 54 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 62 is within one standard deviation of the mean.
Answer:
A score of 62 is not within one standard deviation of the mean.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean score of 54 and a standard deviation of 6.
This means that [tex]\mu = 54, \sigma = 6[/tex]
Calculate to see if a score of 62 is within one standard deviation of the mean.
Is Z between -1 and 1 when X = 62?
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{62 - 54}{6}[/tex]
[tex]Z = 1.33[/tex]
So a score of 62 is not within one standard deviation of the mean.
In a shop, a TV has a normal price of £500
The shop has a sale.
On Monday, the normal price of the TV is reduced by 1/10 to give the sale price.
On Tuesday, the sale price of the TV is reduced by 20%
Chris wants to buy the TV.
He has £400 to spend on the TV.
Does Chris have enough money to buy the TV on Tuesday?
Answer:
400> 360
Step-by-step explanation:
1/10 X 500 = 50
500 - 50 = 450
10% = 450/ 10 = 45
20% = 45 x 2 = 90
450 - 90 = 360
Chris does have enough 400> 360
The line plot above shows the height of the baby giraffes at the zoo. What is the difference in height (in inches) between the shortest and the tallest baby giraffes?
Answer:
3.5 inches
Step-by-step explanation:
Height of tallest baby giraffe = 42.75 inches
Height of shortest baby giraffe = 39.25 inches
Difference in height between the tallest and the shortest baby giraffes = 42.75 - 39.25 = 3.5 inches
Pls answer allllll! I really need it
Answer:
7) I believe it is "The sum of the large rectangle is equal to the sum of the two smaller rectangles. 3 (x + 4)" But I am not sure.
8) Make it shorter and simpler by combining like terms
9) 5x , 2a + 3 + a + 4 , 6 + 2x + x2 + 1 + x
10) ac + bc = (a + b) c
Step-by-step explanation:
An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001 and defective bulbs occur independently. Determine the following: a. Probability that an automotive light has two or more defective bulbs. b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.
Answer:
a) 0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.
b) 4000 automotive lights.
Step-by-step explanation:
For each LED, there are only two possible outcomes. Either it is defective, or it is not. Defective bulbs occur independently, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001.
This means that, respectively, [tex]n = 30, p = 0.001[/tex].
a. Probability that an automotive light has two or more defective bulbs.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.001)^{0}.(0.999)^{30} = 0.9704[/tex]
[tex]P(X = 1) = C_{30,1}.(0.001)^{1}.(0.999)^{29} = 0.0291[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9704 + 0.0291 = 0.9995[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9995 = 0.0005[/tex]
0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.
b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.
0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.
The number of expected trials to obtain n successes with p probability is given by:
[tex]E = \frac{n}{p}[/tex]
In this case, we have that [tex]n = 2, p = 0.0005[/tex]. So
[tex]E = \frac{n}{p} = \frac{2}{0.0005} = 4000[/tex]
4000 automotive lights.
Which geometric sequence has a common ratio of -9?
{-1, -9, 81, 729, …}
{1, -9, 81, -729, …}
{-9; -81; -729; -6,561; …}
{81; 729; 6,561; 59,049; …}
WILL GIVE BRAINLIEST!!!!
Answer:
second one
Step-by-step explanation:
just multiply by -9 and see which one fits in
Answer:
{1, -9, 81, -729, …}
Step-by-step explanation:
Geometric sequence is basically multiplying the previous number by the constant. So it is 1 x -9 = -9, -9 x -9 = 81, -81 x -9 = -729, and so on.
Which of the following is NOT type of magnet
a
permanent magnet
b
electromagnet
c
temporary magnet
d
Domain magnet
Answer:
Is not a type of magnet a domain magnet
−3.64⋅|−5.3|−1.5^3
help pls
Answer:
5
Step-by-step explanation:
its 45
Answer:
-22.667
Step-by-step explanation:
-3.64(5.3) - (1.5)³
-19.292 - 3.375 = -22.667
Once sales tax is included, a $62 hammock ends up costing $67.58. What is the sales
tax percentage?
NEED ASAP WILL GIVE BRAINLIEST
Answer:
9%
Step-by-step explanation:
subtract 62 from 67.58 to get 67.58-62=5.58divide 62 by 5.58and your final answer is 9%What are expressions that are equivalent to -4/3p - 2/5?
-4/3 - 2/5
HOPE THAT HELPS DUDE
A rectangle is 4 times as long as it is wide. The perimeter is 30 feet. Find the dimensions.
Answer:
Express your length and width as algebraic expressions:
width = x
length = 4x
Use the formula for the perimeter of a rectangle to solve for x:
perimeter = 2(length) + 2(width)
50 = 2(4x) + 2(x)
50 = 8x + 2x
50 = 10x
5 = x
The width (x) is 5 feet and the length (4x) is 20 feet.
Step-by-step explanation:
Answer: 3 by 3 by 12 by 12
Step-by-step explanation: Two sides are x feet long. The two other sides are 4 times x feet long. 4x+4x+x+x =10x
Set that equal to 30 and solve. x=3
Plug back into the original 4x's and x's to get the lengths
Pls help periodddd pooh
Answer:
the answer is n = -7
I also put a image to show you how to solve the equation. I hope the image helps.
Answer:
n= -7
Step-by-step explanation:
(t−6)^2 t = 11 What is the answer please.
Answer:
25
Step-by-step explanation:
t = 11, so let's put 11 in place of t in the equation.
(11-6)^2
PEMDAS tells us parenthesis first, so let's do that.
(5)^2
Now let's square it.
5*5=25
So there you go, 25 is your answer :)
Choose the smallest number.
0.03
0.3003
O 0.009
0.093
1.0001
Answer:
0.009
Step-by-step explanation:
We can figure this one out by looking at first the ones place to see if it's a zero, then the tenths and hundredths place, checking if those are also zeros. Because this is the only number with those three numbers as zeros, it is the smallest.
function not a function ?
Answer:
not a function
Step-by-step explanation:
78 - 24 : (14 - 6) X 2
Answer:
ehfrbff rf rh g5e
Step-by-step explanation:
fnebghrbgy5gty5hfegwrnfybgrvthr4yftbgryibr4th45f94ny7rfjhyrjfrhvgruf
Answer:
3 3/8 or 3.375
Step-by-step explanation:
simplify
54:8x2
54/16
3 3/8
5 × ( 1 / 3 + 2 / 5 ) =
write your answer as a mixed number
Answer: the answer is 2 and 1/15
Step-by-step explanation:
Select the numbers that have a factor of 5. Mark all that apply.
D
2
A 15
5
3.
(В)
E
50
(F) 31
© 45
Answer:
a number ending in 0 or 5 has a factor of 5
Step-by-step explanation:
5 is a factor of
5, 10, 15, 20, 25...
any number that ends in 0 or 5 would qualify
what 30 x 23 30 x 23
30 x 23 = 690
23 x 30 = 690
Answer: 690
Step-by-step explanation:
Now whats 34+35?
Identify the coordinates for point D
Answer:
Your Picture is just of -3????
Step-by-step explanation: