The probability of winning a prize remains the same for,
e. n = 10 or n=20 or n = 100; the probabilities are the same.
What is the binomial theorem on probability?In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).
From the information we get,
p = 0.5, So, q = 1 - 0.5 = 0.5.
If 70% of 'n' games are won then 30% of n games must be lost.
Let n = 10.
∴ [tex]P(x = 3) = ^{10}C_3p^7q^3[/tex].
[tex]P(x = 3) = ^{10}C_3(0.5)^7(0.5)^3[/tex].
P(x = 3) = 120×0.0078×0.125.
P(x = 3) = 0.117 Or 11.7% chance.
Now, Changing the value as all the 'n's are multiple of 10 and we'll have the same probability.
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write a statement that describes the relationship between these two sequence 6,7,8,9,10 and 18,21,24,27,30
1. You have applied for two scholarships: the TRIO Opportunity Grant (TOG) and the Vermont Opportunity in Education (VEOP) scholarship. From data collected over the years, the probability that you receive the VEOP scholarship is 0.25, the probability that you receive both scholarships is 0.15, and the probability that you get at least one of these scholarships is 0.37. a. What is the probability that you receive the TOG
Answer:
0.27 = 27% probability that you receive the TOG scolarship.
Step-by-step explanation:
I am going to solve this question treating these probabilities as Venn probabilities.
I am going to say that:
Event A: TOG scolarship
Event B: VEOP scolarship
The probability that you receive the VEOP scholarship is 0.25
This means that [tex]P(B) = 0.25[/tex]
Probability that you receive both scholarships is 0.15
This means that [tex]P(A \cap B) = 0.15[/tex]
The probability that you get at least one of these scholarships is 0.37.
This means that [tex]P(A \cup B) = 0.37[/tex]
What is the probability that you receive the TOG?
This is P(A). These measures are related by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A) = P(A \cup B) + P(A \cap B) - P(B)[/tex]
Replacing with the values in this question
[tex]P(A) = 0.15 + 0.37 - 0.25 = 0.27[/tex]
0.27 = 27% probability that you receive the TOG scolarship.
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? *
Answer:
The mark up percentage of the book is 603.35 percent with respect to its initial price.
Step-by-step explanation:
Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, in order to determine what is the percentage in mark up, the following mathematical operations must be performed:
(8.99 / 1.49) x 100 = X
6.0335 x 100 = X
603.35 = X
Thus, the mark up percentage of the book is 603.35 percent with respect to its initial price.
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir
The probability of winning the jackpot is 1/32728332.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).
Total number of white balls = 43
Number of combinations of selecting 5 from 43 = 43C₅
= 43! / (5! × 38!)
= 962598
Total number of gold balls = 34
Number of combinations of selecting 1 from 34 = 34C₁
= 34
Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332
There is only 1 way for which the player wins the jackpot.
Probability of winning the jackpot = 1/32728332
Hence the required probability is 1/32728332.
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A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 23.7 ounces and sample standard deviation of 0.8 ounces. . Test the claim by the government agency that the population mean is less than 24 ounces at the 0.01 level of significance.
Answer:
We reject H₀ . We support the feeling of people from a government agency
Step-by-step explanation:
Population information:
Population mean μ = 24 ou
Sample information:
Sample size n = 50 then degree of fredom df = n - 1 = 49
Sample mean x = 23,7
Sample standard deviation s = 0,8
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative hypothesis Hₐ x < μ
Significance level α = 0,01
We can conclude from the alternative hypothesis that we should develop a one tail-test ( to the left " if a local brewery is cheating its customers that mean, they are selling less beer than they are supposed to)
With α = 0,01 and df = 49 we get from t-student table t(c) = - 2,4
To calculate t(s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 23,7 - 24 ) / 0,8/√50
t(s) = - 0,3* 7,07 / 0,8
t(s) = - 2,12 / 0,8
t(s) = - 2,65
Comparing t(c) and t(s)
|t(c)| < |t(s)|
2,4 < 2,65
Then t(s) is in the rejection region we reject H₀ , and agree with a government agency in the fact that at 99 % of confidence interval shows that local brewery is cheating customers
Jamal purchased a truck for $10,000. The truck depreciates 10% each year. What is the value of
the truck after 8 years? Round 2 decimal places.
Answer:
Step-by-step explanation:
Uui
someone please help me i’ll give you brainliest
Answer:
its b
can i have brain im about to level up
Find the solution(s) to (x + 2)^2 = 49. Check all that apply.
1
2. Which line has a slope of 4? Real answers and explanations please, NO LINKS
Line A
5
Line B
Line C
o
5
10
A line A
Cline C
D None
Bline B
9514 1404 393
Answer:
D None
Step-by-step explanation:
The steepest line shown is line A, which has a rise/run = 5/2. It is not a slope of 4.
No line shown has a slope of 4.
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Job Satisfaction Score Probability
IS Senior Executives IS Middle Managers
1 0.06 0.04
2 0.09 0.10
3 0.03 0.13
4 0.42 0.45
5 0.40 0.28
(a) What is the expected value of the job satisfaction score for senior executives?
(b) What is the expected value of the job satisfaction score for middle managers (to 2 decimals)?
Answer:
a) The expected value of the job satisfaction score for senior executives is:
= 4.01
b) The expected value of the job satisfaction score for middle managers is:
= 3.83
Step-by-step explanation:
a) Data and Calculations:
Job Satisfaction Probability
Score
IS Senior Executives IS Middle Managers
1 0.06 0.04
2 0.09 0.10
3 0.03 0.13
4 0.42 0.45
5 0.40 0.28
Low of 1 = very dissatisfied
High of 5 = very satisfied
Job Satisfaction IS Senior Executives IS Middle Managers
Score Probability Expected Value Probability Expected Value
1 0.06 0.06 (1 * 0.06) 0.04 0.04 (1 * 0.04)
2 0.09 0.18 (2 * 0.09) 0.10 0.20 (2 * 0.10)
3 0.03 0.09 (3 * 0.03) 0.13 0.39 (3 * 0.13)
4 0.42 1.68 (4 * 0.42) 0.45 1.80 (4 * 0.45)
5 0.40 2 (5 * 0.40) 0.28 1.40 (5 * 0.28)
Expected value 4.01 3.83
Find the indicated term of the given geometric sequence.
a1 = 11, r = 3.4, n = 7
Answer:
a₇ = 16992.84
Step-by-step explanation:
Given that,
a₁ = 11, r = 3.4 and n = 7
The geometric sequence is given by :
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Put all the values,
[tex]a_7=11\times (3.4)^{7-1}\\\\=11\times (3.4)^6\\\\=16992.84[/tex]
So, the seventh term is equal to 16992.84.
Can someone help me pls
Answer:
64
Step-by-step explanation:
Answer:
64 Is the answer easy
Step-by-step explanation:
64 is the answer
Solve the system
y= 17x – 6
y= 12x + 44
Answer:
×=10 y= 164
Step-by-step explanation:
we take the first equation and replace it on the second equation where there is y
A store purchased glass vases for $4.50 and sold them for $7.58. What is the mark-up, as a percentage?
Round your answer to the nearest percent and include a percent sign (%).
Answer:
30%
Step-by-step explanation:
jusr subtract
Jax played baseball. His batting average for the season was 0.362. What is his batting average in the expanded form
Answer:
Jax should quit baseball hes bad at it
Step-by-step explanation:
The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to the x-axis is an equilateral triangle, then the volume is
(A) sqrt(3)/8(e^2-1)
(B) sqrt(3)/4(e^2-1)
(C) sqrt(3)/2(e^2-1)
PLS EXPLAIN
Answer:
A
Step-by-step explanation:
The base of a solid in the region enclosed by the graphs of y = eˣ, y = 0, x = 0, and x = 1. Each cross-section perpendicular to the x-axis is an equilateral triangle. We want to find the volume of the solid.
Please refer to the graph below. We are concerned with the red region.
In order to find the volume, we essentially sum up the area of the figure at each x value. So, we integrate from x = 0 to x = 1.
The area for an equilateral triangle is given by:
[tex]\displaystyle A=\frac{\sqrt{3}}{4}s^2[/tex]
Where s is the side length of the triangle.
Since the triangle lies perpendicular on the region, the side length of the triangle at x is simply y, which is eˣ.
Therefore, our volume is:
[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx[/tex]
Substitute:
[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx[/tex]
Evaluate the integral. Simplify:
[tex]\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx[/tex]
Integrate using u-substitution:
[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)[/tex]
Evaluate:
[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)[/tex]
Therefore, the volume of the solid is:
[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)[/tex]
Our answer is A.
Answer:
A.) sqrt(3)/8(e^2-1) is the answer.
Step-by-step explanation:
#CarryOnLearningSolve each of the following equations. Show its solution set on a number line. 5− p+6 =−8
5-|p+6|=-8
5-distance=-8= distance of them= 13
|p+6|=13
distance between/from p and -6
= -19 or 7,
So
Please Make me the brainliest pls
The sum of all digits of some number is 210. The number is always divisible by:
A. 3
B. 2
C. 5
D. 9
E. 10
Please show work and I will mark brainlist.
Answer:
2
Step-by-step explanation:
so so that you could get both halves, we had to divide by two then I got 105 +105 meaning 210 could be divided by 2
My teacher is mean to me I think she hates me can someone help me
Answer:
4=5/6
5=12/12
6=9/10
7=1/2
8=1/5
Step-by-step explanation:
hiii
Answer:
here are some good fraction calculators that could help you!
https://www.fractioncalc.com/https://www.calculatorsoup.com/calculators/math/fractions.phphttps://www.calculator.net/fraction-calculator.htmlHope these help ya :))
Jasmine conducted a survey of 83 people. 17/of them chose fish as their favorite dinner. How many would you expect to
choose fish out of the population of 250 people?
Answer:
52
Step-by-step explanation:
Ok, so first, we should find the fraction and turn that into a decimal. Do this by dividing the numerator by the denominator.
17/83 = 0.2048192771.
Now, we simply multiply our decimal by the new amount of people.
0.2048192771 x 250 = 51.2048192771.
Lastly, we should round our number up, as you can't possibly have a fraction of a person.
Our final answer is that roughly 52 people will be choosing fish, according to this sample
on a recent hike through riverbend park antoinette traveled 2/3 mile in 1/3 hour . Which unit rate describes antoinettes speed in miles per hour
Answer:
Her speed is of 2 miles per hour.
Step-by-step explanation:
Velocity:
The velocity is given by the following formula:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance and t is the time.
2/3 mile in 1/3 hour .
This means that [tex]d = \frac{2}{3}, t = \frac{1}{3}[/tex]
Which unit rate describes antoinettes speed in miles per hour?
This is v. So
[tex]v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2[/tex]
Her speed is of 2 miles per hour.
Find the discounted price, to the nearest cent, for a portable CD player that sells for
$59.95 and is on sale for 30% off. (3 points) help pls
Answer:
41.96$
Step-by-step explanation:
To find the discounted price we need to calculate the 30% of the $59.95
and to do that we need to multply 59.95 with 30 and divide it by 100
59.95 x 30 ÷ 100 = 17.985
59.95 - 17.985 = 41.965 and 41.96 is the discounted price
which expression can you substitute for x in 5x+y=8 to solve the system below?
5x+y=8
x+4y=2
Answer:
x =30/19 and y =2/19
Step-by-step explanation:
5x + y = 8
x + 4y = 2
then
5x + y = 8
-5(x +4y =2)
5x + y = 8
-5x - 20y = - 10
0 +y - 20y = -2
- 19y = -2
y = 2/19 then
5x + 2/19 = 8
5x = 152-2/19
5x/5 =150/19 *1/5
x =30/19
what is the slope of a line with one point at (6,3) and another point at (8,2)
1.) The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function fis:
f(x)= x^2
Use function notation to write g in terms of f.
Answer:
g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]
Step-by-step explanation:
We are given these following function:
[tex]g(x) = x^2 + 6[/tex]
And
[tex]f(x) = x^2[/tex]
Use function notation to write g in terms of f.
We can see that function g(x) is f(x) added by 6. So
[tex]g(x) = f(x) + 6[/tex]
g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]
4. Which set is an example of like fractions?
O A. 10/10 and 5/5
O B.74 and 4
O C.2/1 and 23
OD.72 and 32
A
Please help I’ll mark you as brainliest if correct!
Answer: 200+50m>1,250
Step-by-step explanation:
It starts with 200 so that is by itself. The m is added to the number that is changing every so often, in this case $50 a month. They need more than $1,250 so we use the greater than sign.
PLEASE HELP
Quality Cab charges $1.50 for the first mile
and $0.30 for each additional mile. Comfy
Cab charges $2.40 for the first mile and $0.20
for each additional mile. At what distance
do the two charge the same?
And please add how you did it
Answer:
£4.40
Step-by-step explanation:
you
just
add
it
all
up
I think
Answer: 1.5 + .3m = (20-2)
WALLAHI HELP ME PLEASE
Answer:
The answer is D) dotted line, shaded above
Step-by-step explanation:
Hope this helpsss :)
Find the area of the
triangle.
9 cm
22 cm
[?] cm2
Answer:
11
Step-by-step explanation:
Half base times height