Answer:
0.4114 = 41.14% probability that he answers at most three of them are correct
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly 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.
20 questions:
This means that [tex]n = 20[/tex]
Assume that each question has five possible choices, and only one of them is correct.
This means that [tex]p = \frac{1}{5} = 0.2[/tex]
What is the probability that he answers at most three of them are correct?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115[/tex]
[tex]P(X = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576[/tex]
[tex]P(X = 2) = C_{20,2}.(0.2)^{2}.(0.8)^{18} = 0.1369[/tex]
[tex]P(X = 3) = C_{20,3}.(0.2)^{3}.(0.8)^{17} = 0.2054[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0115 + 0.0576 + 0.1369 + 0.2054 = 0.4114[/tex]
0.4114 = 41.14% probability that he answers at most three of them are correct
red works at the convenience store for $7.00 an hour. If he makes $49.00 over 2 days, how many hours did Fred work?
7 hours is the answer.
7 x 7 = 49, so if he works 7 hours for $7 an hour, he would have $49.
Help immediately due yesterday show how you got the answer and show your work for brainiest must do both
12. Each section of the line on each side is identical (shown by the marks through each line)
This means both those angles are also the same.
6x + 1 = 9x-23
Add 23 to both sides
6x + 24 = 9x
Subtract 6x from both sides
24 = 3x
Divide both sides by 3
X = 8
13. Both angles when added together need to equal 180
5x-24 + 8x +9 = 180
Combine like terms
13x -15 = 180
Add 15 to both sides
13x = 195
Divide both sides by 13
X = 15
#12
6x+1=9x-233x=24x=8#13
8x+9+5x-24=18013x-15=18013x=195x=15Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. Parallel to the line ; containing the point (0,0)
Answer:
y = 7x
Step-by-step explanation:
Complete question:
Find an equation for the line with the given properties. Parallel to the line 7x - y = -7; containing the point (0,0)
The equation of a line in point-slope form is expressed as;
y - y0 = m(x-x0)
(x0, y0) = (0,0)
Given the equation of the line as 7x - y = -7;
Rewrite and get the slope
-y = -7x - 7
y = 7x+7
Get the slope
mx = 7x
m = 7
Substitute into the equation
y - 0 = 7(x - 0)
y = 7x
Hence the required equation is y = 7x
jose has 3 genres of songs on his Mp3 player. Half of the songs are country songs. A fourth of the songs are rock. The other 10 songs are jazz. If his MP3 player is playing songs at random and on repeat, what is the probability that it will play a rock song followed by a country song
Answer:
because he has the rock next to the country song
Which of the following measures cannot be determined from a box plot?
select all that apply.
A. Interquartile range
B. Mean
C. Mean absolute deviation
D. Median
E. Mode
F.Range
==========================================================
Explanation:
The box plot, aka "box-and-whisker plot", visually represents five things. These things are:
MinimumQ1 = first quartileMedian (sometimes referred to as Q2 or second quartile)Q3 = third quartileMaximumThis list of five items is known as the five number summary.
The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.
--------
Since the box plot lets us know the min and max, we can compute the range because
range = max - min
and we can also calculate the interquartile range (IQR) because
IQR = Q3 - Q1
--------
So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.
We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.
In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.
14. A company uses many different delivery
services. The probability that any given parcel
will be sent by the ABC Speedy Delivery Service
is 0.71. The probability that the parcel will arrive
on time given the ABC Speedy Delivery
Company was used is 0.93. If a parcel is
randomly selected, find the probability that it will
be sent with the ABC Speedy Delivery Company
and arrive on time.
Answer:
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Sent by ABC Speedy Delivery Service.
Event B: Arrived on time.
The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.
This means that [tex]P(A) = 0.71[/tex]
The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.
This means that [tex]P(B|A) = 0.93[/tex]
Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.93*0.71 = 0.6603[/tex]
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
please answer 1-7 I BEG YOU I WILL MARK BRAINLIEST
If the area of a square is 9, then the perimeter of the
square is
Answer:
12.
Step-by-step explanation:
The side length = sqrt 9 = 3
so the perimeter = 4*3 = 12.
Hi there!
»»————- ★ ————-««
I believe your answer is:
12 units.
»»————- ★ ————-««
Here’s why:
The formula for area of a square is:
[tex]A=s^2\\\\\boxed{\text{Key:}}\\\\s-\text{Side length given.}[/tex]
⸻⸻⸻⸻
We are given the area of the square, 9. To find the side length of the square, required to get the perimeter, we would have to take the square root of 9.Recall that the area of a square is the square of it's side length. [tex](s^2)[/tex]⸻⸻⸻⸻
[tex]\boxed{\text{Finding the side length of the square:}}\\\\\rightarrow S=9\\\\\sqrt{9}=3\\\\\rightarrow S=\boxed{3}^2[/tex]
⸻⸻⸻⸻
The side length of the square is 3 units.
⸻⸻⸻⸻
The formula for perimeter of a square is:
[tex]P=4(s)\\\\\boxed{\text{Key:}}\\\\s-\text{Side Length}[/tex]
⸻⸻⸻⸻
We have previously calculated the side length of the square, which is 3.We would have to multiply 3 by 4 to get the perimeter.Recall that the perimeter of a square is 4 times the side length. [tex]4(s)[/tex].
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the perimeter of a square:}}\\\\P=4(3)\\\\\boxed{P=12}[/tex]
⸻⸻⸻⸻
The perimeter of the square is 12 units.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the value of x in the following equation?
7/8x=42
1) Jim took out a loan for $500. The rate is 8%. How much does Jim owe in interest if he pays it back in 4 1/2 years?
2) What is the balance that Jim owes for his loan?
Answer:
ito yung link o /fhytuewfxnopjbfw/ yan na po
Which divisor of x3 + 3x2 - 16x - 48 has a remainder of zero?
A. X + 2
B. X-4
C. x-3
D. x + 8
I need this one ASAP
===========================================================
Explanation:
We'll use the remainder theorem.
This theorem says that if you divide p(x) over (x-k), then the remainder is p(k).
We have p(x) = x^3 + 3x^2 - 16x - 48 and the denominator is one of the four choices A through D.
Let's go through each of them until we find the answer.
-----------------
For choice A, we have x+2 which is the same as x-(-2). It matches with x-k to show that k = -2.
Plug k = -2 into p(x) to get
p(x) = x^3 + 3x^2 - 16x - 48
p(-2) = (-2)^3 + 3(-2)^2 - 16(-2) - 48
p(-2) = -12
The remainder is -12, which is not 0 like we're after. We can cross A off the list.
-----------------
We'll follow the same ideas for choices B through D
For choice B, we plug in k = 4 because x-4 matches with x-k to show that k = 4.
p(x) = x^3 + 3x^2 - 16x - 48
p(4) = (4)^3 + 3(4)^2 - 16(4) - 48
p(4) = 0
We end up with a remainder of 0, so we can stop here. Dividing (x^3+3x^2-16x-48) all over (x-4) leads to some quotient and a remainder of 0.
Put another way: (x-4) is a factor of x^3+3x^2-16x-48
-----------------
Side notes:
x^3+3x^2-16x-48 factors to (x-4)(x+4)(x+3)If you try out choice C, the remainder is -42The remainder for choice D is -240 (you'll use k = -8).helppppppp meeeeeeeee fastttttttttttt plssssssssss
Hello! The Answer is A and B
Hope this helps, Have a wonderful day!
Tysm for brainly!
What value of xwill make x3/2=8 true?
Answer:
is it x to the power of 3 or 3x over 2=8?
Step-by-step explanation:
Answer:
x = ∛2^4 which is approx. 2.5
Step-by-step explanation:
x³/2 = 8/1
cross-multiply to get:
x³ = 16
x³ = 2^4
multiply each exponent by 2/3
x^(3·2/3) = 2^(4·2/3)
x² = 2^8/3
take square root of each side:
x = 2^(8/3 · 1/2)
x = 2^4/3
x = ∛2^4
if a dress costs $27,000 when it is on sale for 10% off, what is its original cost?
Answer:
30,000
Step-by-step explanation:
10% of 30,000 is 3,000
30,000 - 3,000 = 27,000
What percent of 36 is 20?
Answer:
55.56%
Step-by-step explanation:
Answer:
55.56
Step-by-step explanation:
What is the solution to the system of equations graphed below? y = -2x - 3 y = 3x + 2 O A. (-1,1) B. (0,2)
PLZ ANSWER NO LINKS or i will Ban u...
Answer:
Grape Juice 250
Apple Juice 2,250
Ginger Ale 2,500
A right triangle has a leg of length 6 and a hypotenuse of length 21 yards. Find the length of the other leg (nearest tenth).
Answer:
20.1
Step-by-step explanation:
a^2+b^2=c^2
6^2+b^2=21^2
36+b^2=441
b^2=441-36
b^2=405
sqrt of b =20.12
what is four hundred sixteen and eighty-two hundreths writen in expanded form
it's 11682 hope this helps
Sylvia bought 8 bags of stickers. Each bag costs $2.79 how much did Sylvia spend
Answer:
Sylvia's total cost=$2.79*8
=$22.32
Step-by-step explanation:
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a medium given that he or she ordered a hot
drink?
Rounded to the nearest percent, [? ]%
Answer:
48%
Step-by-step explanation:
48/100 = 48%
Edit: the awnser is 64% because 48/75 = 64%
The probability that a customer ordered a medium given that he or she ordered a hot drink is,
⇒ 48%
What is mean by Probability?
The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
At a coffee shop, the first 100 customers orders were as given.
Now,
Total customer = 100
Order hot median coffee = 48
Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,
⇒ 48 / 100
⇒ 0.48
⇒ 48%
Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,
⇒ 48%
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ7
Which description explains how uplift can form mountain ranges?
O A. Wind and water carve rock layers and valleys that leaves some rock layers higher over thousands of years.
O B. Lava from underground volcanoes flows through a surface opening in the crust and cools over hundreds of years.
O c Earthquakes cause large blocks of rocks to fall below the ridges of higher surrounding rock layers over tens of years.
Oo. Forces in the crust push toward each other and cause a section of rock to rise above the surrounding rock over millions of years
Answer: d. Forces in the crust push toward each other and cause a section of rock to rise above the surrounding rock over millions of years
Step-by-step explanation:
Uplift refers to when the earth's crust is forced to rise above the surrounding area due to pressure from underneath (sometimes this pressure can be from above). It is usually the result of forces of compression pulling plates together.
As these plates collide with one another over millions of years, the rock at the collision boundary is forced to rise above the surrounding rock thereby resulting in an uplift.
What goes where
+ - x and divide simble
4_(3_2)_6_1=14
Answer:
(left to right) multiply; add; subtract; divide
Step-by-step explanation:
4*(3+2)-6/1
4*(5)-6/1
20-6/1
20-6
14
HELP PLZZZZZ
Which of the following are not linear functions? Place a check mark in the box next to each equation that is not a linear function.
A. x = 4
B. y = 5
C. y = 3x + 2
D. y = 2x 2 + 1
E. y = x 2
Answer:
The option E is not linear function
bcz the in option E there is y =x2
Lines C and D are
represented by the equations given below:
Line C: y = x + 6
Line D: y = 3x + 2
Which of these shows the solution to the system of equations and explains why?
(2,8), because both lines pass through this point
(2,8), because the point does not lie on any axis
(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
Answer: (4, 14), because both lines pass through this point
Step-by-step explanation:
I really need help with this.
Answer:
135
Step-by-step explanation:
All the angles that would correspond with the angle measure 8 (135°) would be m<5, m<2, m<1.
hope this helped!
Does anyone mind helping?
Answer:
its a and c
Step-by-step explanation:
bc im smart hah its a and c
Answer:
Lines A and C are parallel
Step-by-step explanation:
brainliest help fast plz
Answer:
[tex]\frac{5}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}-\frac{3}{16}=\frac{8}{16}-\frac{3}{16}=\boxed{\frac{5}{16}}[/tex]
Answer:
hope this helps
Step-by-step explanation:
the answer is 5/16
3. A palm free is 12m in height.
A coconut tree is 16m in height.
What is the combined height of the
trees?
Answer:
12+16= 28m
28m is the combined height of the trees .
Hope this helps !
th
Write an
explicit formula for an, the n' term of the sequence 35, 42, 49, ....
TiMED PLEASE HELP
Answer:
The nth term is 35+ 7(n-1) or can be written 28 + 7n
Step-by-step explanation:
This is an arithmetic sequence, where each term equals the previous term, with a constant value added.
T1 = 35
T2 = 42 = T1 + 7 = 35 + 7
T3 = 49 = T2+ 7 = 35 + 7 + 7 = 35 + 2x7
…
The nth term is equal to 35 + 7X(n-1)