Answer:
the probability you lose one or more friends is 0.9836
Step-by-step explanation:
Given the data in the question;
P( you lose one or more friend ) = 1 - P( keeping all friends )
Now, keeping all friends is possible only when each friend receives red candy.
As there are only 9 red candies and 9 friends, 1 red candy needs to be given to each friend out of 9 candies
Thus, total candies given = 63
and each friend will get 8 non red and 1 red candy
Thus, P( keeping all friends )
= [ ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ ] / × ⁶³C₉
SO
⁹C₁ = 9!/(1!(9-1)!) = 9 and ⁴⁹C₇ = 63!/(9!(63-9)!) = 23,667,689,815
so
P( keeping all friends ) = [ 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 ] / 23,667,689,815
P( keeping all friends ) = 387,420,489 / 23,667,689,815 = 0.016369
P( you lose one or more friend ) = 1 - P( keeping all friends )
P( you lose one or more friend ) = 1 - 0.016369
P( you lose one or more friend ) = 0.9836
Therefore, the probability you lose one or more friends is 0.9836
A photographer buys a new camera for $1350. Every year the camera decreases in value by 10%.
Which exponential function can be used to find the value of the camera after t years?
A(t)=1350(1.1)t
A(t)=1350(1.9)t
A(t)=1350(0.1)t
A(t)=1350(0.9)t
Answer:
a(t)=1350(1.9)t this is
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $480 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answer:
$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
Normally distributed with mean $480 and standard deviation $20.
This means that [tex]\mu = 480, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?
This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 480}{20}[/tex]
[tex]X - 480 = 1.645*20[/tex]
[tex]X = 512.9[/tex]
$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
5th grade math. correct answer will be marked brainliest.
Answer:
common denominator: 48
Step-by-step explanation:
common denominator: 8x6=48
1/8 = 6/48
1/6= 8/48
WO-Step Equations Pra
Solve each equation.
1) 3+ 5r=-47
Answer:
r=-10 Hope this helps! If I could have brainliest I'm trying to level to level up.
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5r=−47
Step 1: Simplify both sides of the equation.
5r+3=−47
Step 2: Subtract 3 from both sides.
5r+3−3=−47−3
5r=−50
Step 3: Divide both sides by 5.
5r/5=-50/5
r=−10
Answer:
r=−10
13) A certain radioactive isotope decays at a rate of 0.1% annually. Determine the half-life of this isotope, to the
nearest year.
C) 301 yr
D) 500 yr
A) 7 yr
B) 693 yr
Answer:
se__xxxx cha_t
Step-by-step explanation:
aaah aaaah
a triangle has angles that measure 50 degrees and 50 degrees what is the measure lf the third angle?
Answer:
80
Step-by-step explanation:
the combined angles of any triangle equal 180 degrees. take the known angles ( 50 and 50) and subtract their sum from 180. 180-100=80
19.214÷13
pls someone help me
Answer:
1.478
Step-by-step explanation:
During a competition, numismatist Aditi has been given Rs. 200 in Rs.1 denominations. The judge asks Aditi to allocate the Rs. 1 denominations into a number of pouches such that any amount required between Rs.1 & Rs. 200 can be given by giving out a certain number of pouches without opening them. Aditi thinks and asks the judge to give her 'x' number of pouches to keep the money, where 'x' is the minimum number of bags required to keep the total money. Can you guess the value of 'x'?
9514 1404 393
Answer:
8
Step-by-step explanation:
If the bags can either be given or not, each bag can assume one of two states. In order for there to be 200 possible combinations of items in one of two states, there must be at least log2(200) = 7.64 items. The minimum number of bags is x = 8.
_____
The contents of the 8 bags will be Rs. 1, 2, 4, 8, 16, 32, 64, 73.
Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of the cable by arranging the cable in a Y-shaped configuation. Centerville is located at ( 10 , 0 ) in the x y -plane, Springfield is at ( 0 , 5 ) , and Shelbyville is at ( 0 , − 5 ) . The cable runs from Centerville to some point ( x , 0 ) on the x -axis where it splits into two branches going to Springfield and Shelbyville. Find the location ( x , 0 ) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer.
To solve this problem we need to minimize the following function of x : f ( x ) =
We find that f ( x ) has a critical number at x =
To verify that f ( x ) has a minimum at this critical number we compute the second derivative f ' ' ( x ) and find that its value at the critical number is ,
a positive number. Thus the minimum length of cable needed is
Answer:
hi i dont understand this
Step-by-step explanation:
sorry
The function will be
[tex]f(x) = 9 - x + \sqrt[2]{ {x}^{2} + 9} [/tex]
and minimum value required will be
[tex]9 + \sqrt[3]{3} [/tex]
How to solve this problem?The steps are as follow:
[tex]f(x) = (9 - x) + \sqrt[2]{ (x^2 + 3^2) } \\ =(9 - x) + \sqrt[2]{ (x^2 +9)} \\ f(x) = \frac{2x}{ \sqrt{ {x}^{2} + 9} } - 1 \\ f(x) = 0 \\ \frac{2x}{ \sqrt{ {x}^{2} + 9} } - 1 = 0 \\ \frac{2x}{ \sqrt{ {x}^{2} + 9}} = 1 \\ 2x = \sqrt{ {x}^{2} + 9} \\ 4{x}^{2} = { x}^{2} + 9 \\ 3 {x}^{2} = 9 \\ {x} = \sqrt{3} [/tex]
so putting value of in f(x) we will get
[tex]f( \sqrt{3} ) = 9 - \sqrt{3} + \sqrt[2]{ { (\sqrt{3} )}^{2} + 9} \\ = 9 + 2 \sqrt{3} [/tex]
So The function will be
[tex]f(x) = 9 + \sqrt[2]{ {x}^{2} + 9}[/tex]
and minimum value required will be
[tex]9 + \sqrt[3]{3} [/tex]
Learn more about functions here:
https://brainly.com/question/2833285
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5÷(4-3).3 evaluat'te
Answer:
1.5 thats the answer
Step-by-step explanation:
1.5
Periodic grab some phase shifts
Answer:
The sine function is:
[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]
Step-by-step explanation:
We need to recall that a sine function can write as:
[tex]y(x)=Asin[B(x+C)]+D[/tex]
Where:
A is the amplitude of the functionB is the periodC is the phase shift leftD is the vertical shiftSo we just need to use the listed attributes
Therefore, the sine function is:
[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]
I hope it helps you!
Please help, will give brainliest! Which is NOT equivalent to this expression? 4(3x^2+6x)
o
What is the factored form of 2x3 + 4x2 - x?
A. 2x(x2+2x+1)
B. x{2x2 +4x+1)
C. 2x(x2+2x-1)
D. x(2x² + 4x - 1)
Answer:
D .
Sorry if i'm wrong.
[tex]x(2 {x}^{2} + 4x - 1 )\\ = 2 {x}^{3} + 4 {x}^{2} - x[/tex]
12. What is the perimeter of triangle ABC to
the nearest whole number?
A
19.5
49°
B
40°
C
Step-by-step explanation:
61.945
62the perimeter of triangle ABC to
the nearest whole number
. Use 3.14
plss help
Answer:
A≈494.13
R = 12.54
D = 25.08
Step-by-step explanation:
Here is all the answers.
PLZZZZ give me brainliest!!!
A Japanese bullet train travels 558 miles per 3 hours A. What is the rate B. How far does the train travel in 1 hour WHO EVER ANSWERS I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Remark
The rate is going to be the same as the distance travelled in 1 hour. The units will be different.
Formula
d = r * t
Givens
d = 558 miles
t = 3 hours
Problem A
r = d / t
r = 558/ 3 = 186 miles / hr
Problem B
Givens
r = 186 miles / hour
t = 1 hour
d = ?
Solution
d = 186 mi/hr * 1 hr
d = 186 miles
Note
This looks really trivial, but it's not. You have to learn to see the difference between a number and its units. It's not very often that the numbers will be the same, but if the units differ, then it is an entirely different question.
A number increased by 20% of the number result is 11. What is the number?
Answer:
9.167
Step-by-step explanation:
120% is 11
100% is x
[tex]\frac{11*100}{120} \\\\= \frac{110}{12}\\[/tex]
≅ 9.167
You score an 83 on the first of two exams. Write and solve an
equation to find the score x that you need on the second exam to
have a mean score of 85.
Answer: The mean is the same as the average. In order to find the mean, or average score of the two tests, you need to take the sum of the two tests, and then divide by the number of tests, which is two.
We don't know the score of the second exam. Let it = x
Then we have the following equation:
(88 + x)/2 = 93
88 + x = 2 * 93
88 + x = 186
x = 186 - 88 = 98
You need to score a 98 on the second test
sketch a graph of the relation y=cos^-1x
A triangle has a base of (x+9) feet and a height of (4x+4). The expression below represents the area of the triangle.
12(x+9)(4x+4)
Which of the following choices represents the simplified form of the expression above?
Select one:
A. 4x2+36x+36
B. 2x2+80x+18
C. 2x2+18x−18
D. 2x2+20x+18
Answer:
I think the answer would be B
Step-by-step explanation:
Because we multiply, distribute and combine like terms
Frank can paint houses at the rate of 2/3 houses per week.
The value of the ratio is (colon form)
Frank paints for 12 weeks, he will paint houses.
Frank paints 10 houses, it will take him weeks.
Answer:
0.25
Step-by-step explanation:
Write an equation or inequality.
A number times three increased by seven is 25.
what is the slope !! HELP ME ASAP
Answer:
-7/4
Step-by-step explanation:
Since the graph is moving down the slope has to be negative we need to write the answer in rise over run rise as in the y range and run as in x range
please help i will give extra points
ill do it for you, and all your hw for cashapp. txt me for the deatails on insta kk_iwi
What is the value today of a 15-year annuity that pays $650 a year? The annuity’s first payment occurs six years from today. The annual interest rate is 11 percent for Years 1 through 5, and 13 percent thereafter.
Based on the amount that the annuity pays yearly and the annual interest rate, the value of the annuity today is $2,492.82.
How to find the value of the annuity?First, find the value of the annuity at the fifth year which is a year before the first payment. This value can be found by the formula:
= Annuity * (1 - (1 + r)^-n) / r
= 650 x (1 - (1 + 13%)^-15) / 13%
= 650 x 6.462379
= $4,200.55
The value today can then be found by discounting at the rate of 11%:
= Future value / (1 + rate) ^ number of years
=4,200.55 / 1.11^5
= $2,492.82
Find out more on the value of an annuity at https://brainly.com/question/25792915
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Tamar surveyed six friends, asking each how many times he or she had ridden in a helicopter. The numbers of times she recorded were 0, 0, 0, 1, 3, and 8.
What is the mean absolute deviation of the number of times?
Round to the nearest tenth, if needed.
a. 0
b. 2
c. 2.3
d. 2.5
well, to do this we first need to find the mean of all values.
we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)
Then find the mean of those distances.
so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.
Answer: the answer is c
Step-by-step explanation: i took the test
What is the measurement of the angle below?
Marlis has 765 songs on her ipod she deletes 153 of the songs what is the percent of decreasse in the number of songs on her ipod
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Complete the comparison : 17>?
Answer:
17>16
Step-by-step explanation:
Answer:
17 is greater than or (>) than any number lower than 17 :)
Step-by-step explanation:
For example, 17>16.. 17> 15, or 17> 14...ect.
Hope this helps! :)
Have a nice day <3
Pls help this so hard
Answer:
616 cm²
Step-by-step explanation:
small cube (4 sides) = 8 x 3 x 4 = 96
large cube (4 sides) = 7 x 10 x 4 = 280
top and bottom of large cube = 12 x 10 x 2 = 240
(we would deduct the 3 x 3 area from the top of the large cube and add a 3 x 3 area for the top of the small cube. So that cancels each other out.)
total surface area = 96 + 280 + 240 = 616 cm²