Answer:
0.367 = 36.7% probability that the student gets fewer than 2 questions correct
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he guesses the correct answer, or he does not. The probability of guessing the correct answer on a question is independent of any other question. This means that the binomial probability distribution is used 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.
8 questions on it
This means that [tex]n = 8[/tex]
4 choices.
One of them is correct, which means that [tex]\pi = \frac{1}{4} = 0.25[/tex]
What is the probability that the student gets fewer than 2 questions correct?
This is
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.25)^{0}.(0.75)^{8} = 0.1[/tex]
[tex]P(X = 1) = C_{8,1}.(0.25)^{1}.(0.75)^{7} = 0.267[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.267 = 0.367[/tex]
0.367 = 36.7% probability that the student gets fewer than 2 questions correct
Answer:
A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly guesses an answer to each question.
What is the probability that the student gets fewer than 2 questions correct?
Round to 3 decimal places.
0.367
Step-by-step explanation:
find tan C will mark branylis
Answer:
i think26 and 10
Step-by-step explanation:
Answer:
c. 12/5
Step-by-step explanation:
With reference angle C
perpendicular (P)= 24
base(b) = 10
Then
Tan < C = p / b
Tan < C = 24/ 10
Tan < C = 12/5
Hope it helps :)
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 100 miles per hour. The westbound train
travels at 90 miles per hour. How long will it take for the two trains to be 304 miles apart? ( this is timed plz someone help)
Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
280 miles = (95 mph + 105 mph) * elapsed time
280 miles = 200 mph * elapsed time
elapsed time = 280 miles / 200 mph
elapsed time = 1.4 hours
elapsed time = 1 hour and 24 minutes
It will take 1 hour and 24 minutes for the two trains to be 280 miles apart.
If a=.3 and b=.5, what is the value of a=b ?
Answer:
5.0/5.
Step-by-step explanation:
Answer:
3A = 5B A/B=5/3 (A + B) / B=(5+3) / 3 (A + B) / B=8/3 इसलिए सही उत्तर विकल्प B है।
Hope this helps
Step-by-step explanation:
The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Step-by-step explanation:
We start by stating the null hypothesis
H0: p1 = p2
No difference is existent
H1: p2 not equal to p2
There is a difference
We find the z statistic using microsoft excel or using the formula in the attachment
= -1.68
From the normal table, p value = 0.099
The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference
B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.
pls someone anwser quick
Activity
Part A
Match the factors affecting cost to their definitions. Write the name of the factor next to its definition
Answer:
cost of materials - the value of all things needed to create the good or service
opportunity cost - the value of a product given up to produce or obtain another product
fixed cost - costs that are not affected by the level of production
sunk cost - past costs that cannot be recovered
marginal cost - change in total cost that arises when the quantity produced changes by one unit
Step-by-step explanation:
Answer:
cost of materials: the value of all things needed to create the good or service
opportunity cost: the value of a product given up to produce or obtain another product
fixed cost: costs that are not affected by the level of production
sunk cost: past costs that cannot be recovered
marginal cost: change in total cost that arises when the quantity produced changes by one unit
3. If a week is 7 days, what fraction of a week is 2 days?
can someone pls help me w this
Answer:
a = 2
b = 1
c = 1
Step-by-step explanation:
The quadratic equation, 2x² + x + 1 = 0, is expressed in the standard form as ax² + bx + c, where a ≠ 0.
Thus,
a = 2
b = 1 (1 * x = x)
c = 1
state three (3) uses of graphs
Classmates Joan, Peta, and Linda each received $400 as graduation gift. Joan deposits her money in an account that earns 7% interest compounded annually and keeps the money in the account for three years. Peta deposits her money, plus an extra $70, in an account that earns 8% interest compounded annually and keeps the money in the account for two years. Linda deposits her money in an account that earns 5% compounded'annually and keeps the money in the account for one year.
Who has more money when they close their accounts and why?
A) Joan, because she kept her money in the longest.
B) Linda, because of her interest rate.
C) Peta, because she invests the most.
D) They all make the same amount.
9514 1404 393
Answer:
C) Peta, because she invests the most
Step-by-step explanation:
The additional $70 that Peta invests is equivalent to more than 2 years' interest at either of the other rates. Not only does Peta invest more money, she does so at a higher interest rate.
Peta will have the most money in her account when she closes it.
__
The balances will be ...
Joan $490.02
Peta $548.21
Linda $420.00
divide 270 in the ratio 3:2:1
3 + 2 + 1 = 6
270 ÷ 6 = 45
45 × 3 = 135
45 × 2 = 90
45 × 1 = 45
3 : 2 : 1
135 : 90 : 45
what's the answer! Consider having a personal loan that spans 5 years. The loan was only taken out for $6000, but the interest rate was a higher fixed percentage of 5.99%. How much interest will you have paid after it is paid off?
Answer: $179.70
Step-by-step explanation:
The simple interest will be:
= (Principal × Rate × Time) / 100
= ($6000 × 5.99% × 5) / 10
= ($6000 × 0.0599 × 5) / 10
= $1797 / 10
= $179.70
Therefore, the total interest on the loan is $179.70
Please tell me the letter of the answer
Answer:
C 37.5
Step-by-step explanation:
1 inch is 30 feet. so feet is 30 x [number of inches]. 30 x 1.25 = 37.5
Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $85, with a standard deviation of $28. Her friend John, taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Assuming normal populations with equal standard deviations, What is the the pooled estimate of the common variance with the 0.05 level
Answer:
The pooled estimate of the common variance is approximately 639.59
Step-by-step explanation:
The given parameters are;
The number of shops Emily visited, n₁ = 12 shops
The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85
The standard deviation of the estimate Emily was given, s₁ = $28
The number of shops John visited, n₂ = 9 shops
The average repair estimate John was given, [tex]\overline x_2[/tex] = $65
The standard deviation of the estimate John was given, s₂ = $21
The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;
[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]
[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]
∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59
someone help me ASAP
Answer:
there's nothing here at all....
Step-by-step explanation:
Fine the slope of the line through (20, -8), (9, -8)
Answer: The slope is 0
20% of the students in the school are in kindergarten. How many students are in kindergarten if the school has 50 students?
Answer:
10 students in Kindergarten
Step-by-step explanation:
20% is equal to 1/5
1/5 x 50 = 10 or 50 ÷ 5 = 10
Answer:
10 ig
Step-by-step explanation:
cause
Answer this for 10 points
Answer:
D) -2
Step-by-step explanation:
Slope = -3
(1, -9)
y - y1 = m(x - x1)
y + 9 = -3(x - 1)
y + 9 = -3x + 3
y = -3x - 6
y = -3x - 6
0 = -3x - 6
6 = -3x
x = -2
An element with
mass 510 grams decays by 26.3% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
60.2 grams is remaining after 7 minutes.
Step-by-step explanation:
Exponential equation for amount of substance:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.
An element with mass 510 grams decays by 26.3% per minute.
This means that [tex]A(0) = 510, r = 0.263[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 510(1-0.263)^t[/tex]
[tex]A(t) = 510(0.737)^t[/tex]
How much of the element is remaining after 7 minutes?
This is A(7). So
[tex]A(7) = 510(0.737)^7 = 60.2[/tex]
60.2 grams is remaining after 7 minutes.
ILL MARK BRAINLIEST!!! PLS HELP!!! A car purchased for $18,000 depreciates annually at a rate of 5%.
What will be the approximate value of the car in the 10th year?
Answer:
Step-by-step exlanation:
What you do is $18,000 x 5% which is 900 and then you do 900 x 10 = 9000!
Find the length of the side and area of the square who perimeter is given below
(a) 44 cm
Answer:
Side length:11
Area: 121
Step-by-step explanation:
if its a square all sides should be equal so you can divide 44 by 4 which gives you 11 and then to find area you just multiply the two sides together which would be 11x11 and that equals 121
I'm pretty sure this is what it would be but it also seems over simplified and i might be missing something?
Helen makes 6 friendship bracelets . She gave 1/3 of the bracelets to sami which expression can i use
Answer:
6 x 1/3 = 2
Step-by-step explanation:
What four fractions can be made with the cards that have values less than 12
Answer:
4/8 3/6 5/10 2/4 6/12
Step-by-step explanation:
pls give me the crown pls
and i hope this helped you :)
Which expression below is equivalent to -2(5x-8)?
-10x+16
-10x-8
3x-10
3x-8
-2(5x-8)
-10x+16
So A.
---
hope it helps
Sarah makes $3000 contributions at the end of each half-year to a retirement account for 8 years. For the next 20 years, she makes no additional contributions and no withdrawals. If the account earns 7.5%, compounded semi-annually, find the value of the account after the 28 years.
(b) If the above account is used to set up an annuity that pays her an amount at the beginning of each 6-month period for the next 20 years, how much will each payment be?
Answer:
I think its aa.... I think its aa.... Carrot
Step-by-step explanation:
what is meaning of pictogram
here u go
i hope u got it
Every Month the average number of books borrowed by a class of 24 from a library is 4.What is the total number of books borowed by the class for the month
Answer:
96
Step-by-step explanation:
24*4=96
What value of b completes the function f(x)=-x^2+bx+1?
Answer:
Step-by-step explanation:
It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.
Fortunately, I can tell that the axis of symmetry is x=2.
Put the equation into vertex form by completing the square.
axis of symmetry = b/2
b/2 = 2
b = 4
Find the vertex of the function. ill mark brainlist
Answer:
(2,-9)
Step-by-step explanation:
Can someone please help me it’s very important please ASAP