Answer:
a= 1/2 and b= 1/2
Step-by-step explanation:
The given probability can be expressed in the form of binomial expansion where a= p and b= q
Therefore a= 1/2 and b= 1/2
For n= 8 trials the binomial expansion can be written as
[ p+q] ^n = [ 1/2+1/2]^8
=(1/2)^0(1/2)^8 +8C1(1/2)^7(1/2)+8C2(1/2)^6(1/2)^2+8C3(1/2)^5(1/2)^3+8C4(1/2)^4(1/2)^4+8C5(1/2)^3(1/2)^5+8C6(1/2)^2(1/2)^6+8C7(1/2)(1/2)^7+8C8(1/2)^0(1/2)^8
=
1(1/2)^0(1/2)^8 +8(1/2)^7(1/2)+28(1/2)^6(1/2)^2+56(1/2)^5(1/2)^3+70(1/2)^4(1/2)^4+56(1/2)^3(1/2)^5+28(1/2)^2(1/2)^6+8(1/2)(1/2)^7+1(1/2)^0(1/2)^8
=
1/(2)⁸ { 1+ 8+28+56+70+56+28+8+1}
= 1/(2)⁸ {256}
= 1
The total probability is always 1.
Also P+q= 1
1/2+1/2= 1
What is the answer to 2W-12-5
Answer: 2W-17
Step-by-step explanation: HOPE THIS HELPS
solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7
Answer:
Solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 we get x=2 and y=-3
Solution set = {2,-3}
Step-by-step explanation:
We need to solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7
let:
[tex]3x-2y=12--eq(1)\\x+3y=-7 --eq(2)[/tex]
Finding value of x from equation 2 and putting in eq(1)
[tex]From \ eq(2)\\x+3y=-7\\x=-7-3y[/tex]
Putting value of x in eq(1)
[tex]3x-2y=12\\Put \ x=-7-3y\\3(-7-3y)-2y=12\\Solving\\-21-9y-2y=12\\-11y=12+21\\-11y=33\\y=\frac{33}{-11}\\y=-3[/tex]
So, we get y=-3
Now put value of y in equation 2 to find value of x
[tex]x+3y=-7\\x+3(-3)=-7\\x-9=-7\\x=-7+9\\x=2[/tex]
So, we get value of x =2
So, solving this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7 we get x=2 and y=-3
Solution set = {2,-3}
CAN SOMEONE PLEASE HELP ME IT IS DUE TODAY
Answer:
63 mill
Step-by-step explanation:
There is one pizza and two people are gonna spilt it in half. How would you convert one half into a fraction, decimal and percent?
Please help :)
Answer:
fraction - 1/2 decimal - 0.5 percent - 50%
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION ITS DUE TODAY
78.4 arcs are available for farming and 19.6 are not available
Answer:
like 22 acres are available
Rewrite 8/15 and 11/20 so that they have a common denominator.
Answer:
32/60 and 33/60
Step-by-step explanation:
Common Denominator is 60.
8x4=32
15x4=60
8/15= 32/60
11x3=33
20x3=60
11/20= 33/60
If g(m)= m^2-3m+3 find g(-2)
Answer:
13
Step-by-step explanation:
Substitute -2 for m to get (-2)^2-3(-2)+3=4+6+3=13
Consumers Energy states that the average electric bill across the state is $67.16. You want to test the claim that the average bill amount is greater than $67.16. The hypotheses for this situation are Null Hypothesis: μ ≤ 67.16, Alternative Hypothesis: μ > 67.16. If the true statewide average bill is $51.28 and the null hypothesis is not rejected, did a type I, type II, or no error occur?
a. Type I Error has occured.
b. No error has occured.
c. We do not know the degrees of freedom, so we cannot determine if an error has occured.
d. Type II Error has occured
e. We do not know the p-value, so we cannot determine if an error has occured.
Answer:
B: No error has occured
Step-by-step explanation:
In statistical hypothesis testing, we have two types of errors namely Type I error and Type II error.
Type I error occurs when we reject the null hypothesis although it is true. Meanwhile, Type II error occurs when we fail to reject the null hypothesis null hypothesis even though it is false.
Now, we are given the null and alternative hypothesis as;
Null Hypothesis: μ ≤ 67.16
Alternative Hypothesis: μ > 67.16.
Where μ represents the statewide average bill.
We are also given the true statewide average bill is $51.28.
Now, the true statewide average bill falls within the range of the null hypothesis given.
Thus, we can't reject the null hypothesis since it is true.
Now, we are told the null hypothesis is not rejected and that is correct.
Thus, there is no error as it doesn't fall into the type I or the type II error.
A customer has a credit card that charges 18% simple interest every year. How much interest will the customer save
by paying off a credit card debt of $5,000 at the end of 1 year instead of at the end of 3 years?
$300
B $600
$900
D$1,800
Answer:
$900
Step-by-step explanation:
18% of $5000
0.18×5000=900
The customer will save $900
A group of travelers took 60 pictures in 5 hours at what unit rate were the pictures being taken
Answer:
60 pictures/5 hours= 12 pics an hour
Step-by-step explanation:
I WILL BE MARKING BRAINLIEST TO THE ANSWER WITH AN EXPLANATION ON THE ANSWER (picture attached) ^
Answer:
the answer is 3 1/5 because you add and multiply and divide
Step-by-step explanation:
Answer:
8/7
Step-by-step explanation:
first set = 5/7
second set = 3/7
3/7+5/7=8/7
Plssssssssssssssssssssssssss
Answer:
the answer is 192 :))))
What is the slope of the equation
Y= 5\4x -7\4?
Answer: the slope of Y= 5\4x -7\4 is -4
.
Step-by-step explanation:
Answer:
5/4
Step-by-step explanation:
In the y=mx +b equation, M is the slope. So its 5/4
If a represents Jim's current age, then which expression represents Jim's age eight years ago?
A. a ÷ 8
B. a + 8
C. a × 8
D. a - 8
Answer:
D
Step-by-step explanation:
What is the answer for 17/20 + 7/20
Answer:
24/20 or simplified, 6/5
Step-by-step explanation: when adding fractions, you line up the numerators and denominators but only add the numerators. to simplify you need to find a number that both the numerator and denominator can be divided by.
extra points :)
please answer asap
Answer:the answer is C by simlifying 8 to 2 three to make both powers base two and subtracting the exponets
Step-by-step explanation:
Question 1
Solve the equation:
2z - 1 = -15
x=
Blank 1:
Answer:
z = - 7Step-by-step explanation:
[tex]2z - 1 = - 15[/tex]
Move -1 to the right side of the equation
[tex]2z = - 15 + 1 \\ 2z = - 14[/tex]
Divide both sides by 2
[tex] \frac{2z}{2} = - \frac{14}{2} \\ [/tex]
We have the final answer as
z = - 7Hope this helps you
Mckenzie’s rabbit eats 1/3 of a pound of food each day. If Mckenzie buys a 20-pound bag of food, how many days will she be able to feed her rabbit?
HEWP MEH ;)
Madelyn went shopping for a new video game because of a sale. The store was offering a 20% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answer:
0.2
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
100%−20%=80%
80%=0.8
I really need some help on this!
Answer:
d i believe
Step-by-step explanation:
i don't believe that polynomials have two different letters
Please Help Is easy just tell me if my answer is right or not and maybe tell me why?
Answer: 19(5)^n-1 is correct
Step-by-step explanation:
Please help will mark brainiest
There were 300 books on a shelf. 30% of the books were fiction books and the rest were non-fiction books. When another 120 books were added, the percentage of non-fiction books increased to 75%. How many fiction books were added to the shelf?
Before:
Fiction= ___% of 300 =
non-fiction= ___% of 300 =
after adding 120 books:
300 books + 120 books =
75% = ________________ books
Fiction books:
Answer:
fiction is 90
non fiction is 70
420 books
Step-by-step explanation:
Answer:
fiction = 30%
non fiction = 70%
420 total books, with the amount of nonfiction books that were added being 225
Step-by-step explanation:
__% of 75 is 25= what is this answer please help!
Answer:
x = 33 (33.3)
Step-by-step explanation:
x/100 X 75 = 25
75x/100 = 25
75x = 2500
x = 33 (if rounded to the nearest whole number)
x = 33.3 (if rounded to the nearest tenth)
what is the unit rate for the ratio 100 points/ 4 games?
Answer:c
Step-by-step explanation:
Help pleaseeee it’s due in 27 mins
Answer:
X-intercepts: (-5,0)
Y-Intercepts: (0,2)
Step-by-step explanation:
Step-by-step explanation:
x intercepts- (-5,0)
y intercepts- (0,2)
Hurry please this is worth 25 points
Answer:
1/8 mile
Step-by-step explanation:
This is a subtraction problem. We need to subtract 5/8 from 3/4. We need a common denominator of 8.
3/4 - 5/8 = 6/8 - 5/8 = 1/8
Answer: 1/8
Answer:
Malika runs 1/8 of a mile more than Andrew
Step-by-step explanation:
The easiest way to figure this out is by converting both of the fractions to have the same denominator. Do not convert them to decimals because the answer might not always turn out to be right.
If we keep Andrew's distance of 5/8 the same we can easily convert Malika's distance of 3/4 to the same denominator by multiplying it by two
[tex]\frac{3}{4} *\frac{2}{2} = \frac{6}{8}[/tex]
Now that the denominators are the same, we are able to subtract the fractions.
[tex]\frac{6}{8} -\frac{5}{8} = \frac{1}{8}[/tex]
Malika runs 1/8 of a mile more than Andrew
i need help asap please
Answer:
A, D, and F
Step-by-step explanation:
Tiara did multiply and regroup correctly in the first partial product. Tiara did not multiply and regroup correctly in the second partial product. Tiara was not correct when she added her 2 partial products.
Tiara should of got 18,291 but instead she got 16,291.
When she went to the part to multiply 3x4 she didn't add the remaining 2 from the 3x6+2. So if she did 3x4+2 she would of got the number 14 instead of 12 to put down in the second partial product. Which would make the addition part of it as 4,221 + 14070 = 8291 instead of 4,221 + 12,071 = 16, 291
I hope you understand :)
Heyyy guysss i need to someone to ask my math questions pleasee help
I NEED HELP PLEASE HELP MEEEEEEEEEEEEEEEEE
Answer:
C
Step-by-step explanation:
She is reading 15 pages a day so the arrow is going up
what is the square root of 114 as a decimal to the hundredths place?
Answer:
0.012
Step-by-step explanation:
Answer:
10.67707825
Step-by-step explanation:
that should be the correct answer
