999.224
Step-by-step explanation:
Expected value = Summation of (x•px)
px is addressed as pdf (probability distribution function)
x px. x•px
1. 1/3125. 1/3125
20. 4/625. 16/125
160. 32/625. 1024/125
640. 128/625. 16384/125
1280. 256/625 65536/125
1024. 1024/3125. 335.544
total:. 1. 999.224
taking my pdf as x/3125
The expected value of the binomial distribution is 4
How to determine the expected value?The expected value of a binomial distribution is calculated using:
[tex]E(x) = \sum x * P(x)[/tex]
Using the table of values, we have:
[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]
Evaluate the expression
E(x) = 4
Hence, the expected value of the binomial distribution is 4
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Vance invests S15,000 in an account that pays 3 1/4% simple interest for 72 months. Assuming Vance doesn't
make any other deposits or withdrawals, how much will be in his account after 72 months?
Answer:
$15487.5
Step-by-step explanation:
Using the formula for calculating the amount as;
Amount = Principal + Interest
Principal = $15,000
Get the interest
Interest = PRT/100
Interest = 15000*13/4 * 3/100 (72months = 3years)
Interest = 195000/400
Interest = $487.5
Amount = 15000 + 487.5
Amount= $15487.5
Hence he will have $15487.5 in his account after 72months
The public relations officer for a particular city claims the average monthly cost for childcare outside the home for a single child is $600. A potential resident is interested in whether the claim is correct. She obtains a random sample of 14 records and computes the average monthly cost of this type of childcare to be $589 with a standard deviation of $40. Perform the appropriate test of hypothesis for the potential resident using . Approximate the p-value for the test in (a).
Answer:
Since the calculated value of z= -1.0198 does not lie in the critical region z = ± 1.96 the null hypothesis is accepted and it is concluded that the average monthly cost for childcare outside the home for a single child is $600.
P- value ≈ 0.307823 which supports the null hypothesis .
Step-by-step explanation:
The null and alternate hypotheses are
H0: u = $600 the average monthly cost for childcare outside the home for a single child is $600.
against the claim
Ha: u ≠ $600 the average monthly cost for childcare outside the home for a single child is not equal to $600.
The significance level is set at 0.05
3) The critical region is z = ±1.96
4) The test statistic
Z=x- u /s/√n
z= 589-600/40/√14
z= -11/10.7681
z= -1.0198
6) Conclusion
Since the calculated value of z= -1.0198 does not lie in the critical region z = ± 1.96 the null hypothesis is accepted and it is concluded that the average monthly cost for childcare outside the home for a single child is $600.
P- value ≈ 0.307823 which supports the null hypothesis .
Help I don’t understand.
Answer:line grapg$
Step-by-step explanation:
Picture included-11 points-second time
Answer:
b = 12
Step-by-step explanation:
c^2 = a^2 + b^2
Solving for b,
b^2 = c^2 - a^2
= (13)^2 - (5)^2
= 169 - 25
= 144
or
b = 12
Can someone please help me I will mark u brilliant
Answer:
11
Step-by-step explanation:
just count all the Xs from 4 and up
if the sum of x and 3 is ten ,what is the value of x
Answer: 7
Step-by-step explanation:
[tex]x+3=10 \\ \\ x=7[/tex]
You roll a die. Find the probability that you roll an even number or a number less than 5.
Answer:
4/6
Step-by-step explanation:
Question 2
Salve for then in the measure of are GF
Answer:
Step-by-step explanation:
I'm pretty sure that GF is showing, as the interior angle x -65, it's just kinda hard to see
135-65 = 70° = GF
Mei hikes 3.2 miles on Saturday and 4.8 miles on Sunday. About how far does Mei hike in all?
Answer:
8 miles
Step-by-step explanation:
3.2 + 4.8
is -95 an irrational number
Answer:
I think it is????
Answer:
No, it is not.
An irrational number is real number that cannot be expressed as a ratio of two integers. The number pi or π is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractions.
.Please help with question 21
Answer:
y=500x+20000
Step-by-step explanation:
ill give brainlist to first answerrrrrrrrrrrrrrrr
Answer:
18
The areas of a rectangle is lxw. You simply multiply by 3 x 6 and get this answer.
If 2/3x - 1 = 4, then x =?
PLEASE HELP
x = 15/2
Step-by-step explanation:
Step 1: Add 1 to both sides.
2/3x − 1 + 1 = 4 + 1
2/3x = 5
Step 2: Multiply both sides by 3/2.
(3/2) * (2/3x) = (3/2) * (5)
x = 15/2
d more than 342 is the same as 90
write this sentence as an equation.
Answer:
342 + D = 90
Step-by-step explanation:
We can deduce the following from the statement;
- D is added to 342 so as to make it greater.
- The resulting value is the same as 90 i.e equal in value to 90.
Translating the word problem into an algebraic expression, we have;
342 + D = 90
Identify the terminal point for a 30° angle in a unit circle.
O A (1,
O R. (4,4)
O c. (9.12)
OD. (1,7)
SUBMIT
Answer:
The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).
Step-by-step explanation:
can someone please explain to me this image?
Answer:
Complementary
Step-by-step explanation:
A random sample of students were asked which award they would most like to win (Olympic Gold, Academy Award, or Nobel Prize), and asked which portion of the SAT they performed better on, between the Math and the Verbal. The results are summarized in the table below. Use this table to answer the following question.
1. If P(M) is the proportion of students who did better on the Math portion of the SAT who prefer winning an Olympic Gold, and P(V) is the proportion of students who did better on the Verbal portion of the SAT who prefer winning an Olympic Gold. What is the standard error of the distribution of the difference of proportions?
Answer:
Well would of them just ask how and when they will get it?
Step-by-step explanation:
So sorry if this is wrong.
The ratio of hot dogs to hamburgers on a barbeque table is 6:4. If there are 36 hot dogs on the table then how many hamburgers must be there?
Answer: 24
Step-by-step explanation:
6 hot dogs for every 4 hamburgers
6*6 = 36
36 hot dogs for every ? hamburgers
since 6*6 equals 36, do 4*6
4*6 = 24
so 24 hamburgers
I can’t guarantee that this is right but I think it is
hopefully it’s helpful
Which expression is equivalent to 128?
Answer: 2^3 x 2^4
Step-by-step explanation:
The value of the exponential expression is A = 2³.2⁴ = 128
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the value of the exponential equation be A
Now , the first expression is p = 2³
The value of p = 8
Now , the second expression is q = 2⁴
The value of q = 16
From the laws of exponents , we get
p.q = 2³.2⁴ = 2³⁺⁴
The value of A = 2⁷ = 128
Hence , the exponential equation is 2⁷ = 128
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A 4-column table with 2 rows. Column 1 has entries Sample 1, Sample 2. Column 2 is labeled Apple with entries 40, 43. Column 3 is labeled Orange with entries 64, 63. Column 4 is labeled Banana with entries 21, 19.
A survey was conducted asking people about their favorite fruit. Which inferences about the population are true based on the data? Check all that apply.
About twice as many people prefer apples as prefer bananas.
Bananas are preferred much less frequently than apples or oranges.
Exactly twice as many people prefer oranges as prefer apples.
Exactly three times as many people prefer bananas as prefer oranges.
The samples show little variation for each fruit.
Answer:
A, B, E
example
all of them are correct give them both a brainly
Evaluate x divided 4 for x=48
Answer:
12
Step-by-step explanation:
x/4
Let x=48
Replace x in the expression
48/4
12
Help with the Pythagorean Theorem
Answer:
A=5
B=3
C=5.83
A^2+B^2=C^2
Answer:
5.83
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
find the simple interest on 10000 from 1 July to 12 september 2007 at 5% per year calculate the interest
Answer:
Simple interest: 83.33, Final amount: 10083.33
Step-by-step explanation:
you dont get a explanation >:)
How many integers in the interval [100, 999] are not divisible by 14?
Answer:
69
Step-by-step explanation:
Numbers between 100 to 999 which are divided by 13
104,117,130............................988 .
So a=104, d=13 and,an=988
an=a+(n−1)d
988=104+(n−1)⋅13
88413+1=n
n=69
(-2)(-2)(-2)(-2) in exponential form
Answer:
[tex] (-2)^{4} [/tex]
Step-by-step explanation:
(-2)(-2)(-2)(-2)
The base is -2.
There are 4 factors of -2, so the exponent is 4.
[tex] (-2)(-2)(-2)(-2) = (-2)^{4} [/tex]
On Tuesday, 14 students handed in a permission slip for a field trip. On Thursday, twice as many students handed in their permission slip than on Tuesday. On Friday, an additional 7 students turned in their permission slip. If 50 students received a permission slip, how many students did NOT turn it in?
15 students
0 students
1 student
49 students
Answer:
15
Step-by-step explanation:
14+14=28+7=35-50=15
Hope that helped (your free to ask any question or if you are confused)
kevin scored 11 points in his last basketball game. if kevin made two more free throws (one point each) then two-point shots, how many of each shot did he make? choose the graph that best depicts this problem.
Answer:
Kevin made 5 free throws and 3 two-point shots.
Step-by-step explanation:
Given that Kevin scored 11 points in his last basketball game, to determine if Kevin made two more free throws (one point each) than two-point shots how many of each shot did he make, the following calculation must be performed:
11 x 1 + 0 x 2 = 11
6 x 1 + 4 x 2 = 14
5 x 1 + 3 x 2 = 11
Therefore, Kevin made 5 free throws and 3 two-point shots.
Answer:
Step-by-step explanation:
Graph
Heeeelllpp pleaseeeee
Answer:
A. 12.7
Step-by-step explanation:
If line a is parallel to line b, therefore,
(10x - 13.3) = (8x + 12.1) => alternate interior angles theorem
Solve for x
10x - 13.3 = 8x + 12.1
Collect like terms
10x - 8x = 13.3 + 12.1
2x = 25.4
Divide both sides by 2
x = 25.4/2
x = 12.7
2 - 5
put explanation
Answer: -3
Step-by-step explanation: well there is a pretty easy explanation for this because what you pretty much do is you put the answer around by doing 5-2 and just put a negative since the smaller number is in the front.
what is the answer to this? (freckle)
Answer:
hola :]
Step-by-step explanation: