Answer:
P(exactly two buy yearbooks) = 0.31104
P(at least two buy yearbooks) = 0.76672
Step-by-step explanation:
We are given that at high school 40% of the students buy yearbooks.
You select 6 students at random.
The above situation can be represented through binomial distribution;
[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]
where, n = number trials (samples) taken = 6 students
r = number of success
p = probability of success which in our question is probability that
students buy yearbooks, i.e; p = 0.40
Let X = Number of students who buy yearbooks
So, X ~ Binom(n = 6, p = 0.40)
(a) Now, Probability that exactly two buy yearbooks is given by = P(X = 2)
P(X = 2) = [tex]\binom{6}{2} \times 0.40^{2} \times (1-0.40)^{6-2}[/tex]
= [tex]15\times 0.40^{2} \times 0.60^{4}[/tex]
= 0.31104
(b) Probability that at least two buy yearbooks is given by = P(X [tex]\geq[/tex] 2)
P(X [tex]\geq[/tex] 2) = 1 - P(X = 0) - P(X = 1)
= [tex]1- \binom{6}{0} \times 0.40^{0} \times (1-0.40)^{6-0}-\binom{6}{1} \times 0.40^{1} \times (1-0.40)^{6-1}[/tex]
= [tex]1- (1 \times 1 \times 0.60^{6})-(6 \times 0.40^{1} \times 0.60^{5})[/tex]
= 1 - 0.04666 - 0.18662
= 0.76672
Solve a triangle when A = 27.3°, B = 55.9°, and a = 8.6.
Answer:
The correct answer is A.
Step-by-step explanation:
i just did the test on edge and got it right, it’s not D, it’s A.
Answer:
A=
Step-by-step explanation:
Help me please find the area of the room
Answer:
Cut the room into a rectangle and a trapezoid vertically. Then just use the rectangle and trapezoid area formulas to solve.
Step-by-step explanation:
It should work because this is how I find the area of most irregular shapes.
Answer:
To find the area you would first break the shape down into smaller regular shapes. In this case it would be a rectangle and trapezium. Then the next step to working out the area is to work out the area of one of the shapes. In this example i would start with the rectangle as it would be easier. The formula for the area of the rectangle would be length multiplied by the width. Then hold on to the answer. After you would work out the area of the trapezium. The formula for the area of a trapezium is: [tex]\frac{a+b}{2} *height[/tex]. To work this out you would add the lengths of the top line and the bottom line and divide them by 2. Then you would multiply that by the height of the trapezium. After you would add the area of the rectangle and the area of the trapezium and this will give you the total area.
1) Divide the shape into smaller regular shapes.
2) Find the area of the rectangle.
3) Find the area of the trapezium.
4) Add the two areas together.
Solve: 512^x-2/(1/64)^3x=512
Answer:
The correct answer is x=1
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
Please write the answer
x cube + x cube = ?
Answer:
[tex] {2x}^{3} [/tex]
Step-by-step explanation:
[tex] {x}^{3} + {x}^{3} = {2x}^{3} [/tex]
Answer:
[tex]2x^{3}[/tex]
Can somebody help me I have not been paying attention
Answer:
The answer is D.
Step-by-step explanation:
It have 5 different surface. I will name them as front, back, left, right and down. It's easier for you to see.
Front: 36*50= 1800
Back: 14*36=504
Left: 14*48/2=336
Right:14*48/2=336
Down:36*48=1728
Then, we add everything together and get the answer.
1800+504+336+336+1728=4702.
Multiply 2/3 by 42, and then multiply that product by 10
Answer:
140 is the answer
Step-by-step explanation:
2/3 of 42 is 14 multiplied by ten is 140
Hope this helps ;)
Answer:
280
Step-by-step explanation:
Which values are within the range of the piecewise-defined function? f(x) = StartLayout enlarged left-brace 1st Row 1st column 2 x + 2, 2nd column x less-than negative 3 2nd row 1st column x, 2nd column x greater-than negative 3 3rd Row 1st column negative x minus 2, 2nd column x greater-than negative 3 EndLayout y = –6 y = –4 y = –3 y = 0 y = 1 y = 3
Answer:
the answer is below frum ed
Step-by-step explanation:
y= -6
Y= -4
Y= -3
Y= 0
what is the mode of this data set 14,79,77,11,14,78,77,65,31,56,16
Answer:
There are 2 modes. They are 14 and 77.
Explain.
log2x = log2(3x + 5) + 4
It’s no solution but I need to explain how
apply the distributive property to create an equivalent expression to 6(a+2b+3c)
Answer:
6a+12b+18c
Step-by-step explanation:
Multiply 6 with the numbers inside the parentheses.
Brahmagupta's book is the oldest text representing zero
as a number, using the symbol 0. Why was this a
mathematical breakthrough?
Answer:
Understanding zero as a number represented by the symbol 0 enabled mathematicians to have a representation of nothing. Having a digit to represent zero enables mathematics to be more abstract, and allows more complex problems to be solved.
How long would it take for a snail (average speed of 0.029) to travel 2,800 miles ?
Answer:
5 days 12 hours = 7920 minutes. x = 5280 feet = 1 mile.
Step-by-step explanation:
Answer:
answer is 5 days and 12 hours
Step-by-step explanation:
hope we can be friends
can i please get brainliest
Can someone please help me with this problem?
Answer:
f'(1) = 2
Step-by-step explanation:
f(x) = 2x^2 -2x +3
Take the derivative
f'(x) = 2 * 2x - 2 * 1
f'(x) = 4x -2
f'(1) = 4(1) -2
=4-2
=2
In a game of luck, a turn consists of a player rolling 12 fair 6-sided dice. Let X = the number of dice that
land showing "l"in a turn.
Find the mean and standard deviation of X.
You may round your answers to the nearest tenth.
Answer:
The mean of X, μₓ is 2
The standard deviation of X, σₓ is 1.3
Step-by-step explanation:
Here we have the expected value given by the following relation
Expected value = P(x) × n
Where:
P(x) = Probability that the event occurs
n = Number of times the event occurs
The probability of the dice showing 1 = 1/6
The number dice rolled = 12
Therefore, out of 12, the expected number of dice that show 1 in a turn = 12×1/6 = 2
The proportion, p of dice that show 1 = 1/6, hence the mean, μx = np
Standard deviation of a proportion, [tex]\sigma _x =\sqrt{np{(1 - p)} }[/tex]
Where:
p = 1/6
n = 12
Hence;
μx = 12 × 1/6 = 2
[tex]\sigma _x =\sqrt{np{(1 - p)} } = \sqrt{12 \times \frac{1}{6} (1 - \frac{1}{6}) } = \sqrt{\frac{5}{3} } = 1.29099 \approx 1.3 \ to \ the \ nearest \ tenth[/tex]
Hence the mean and standard deviation of X are presented as follows;
The mean of X, μₓ = 2
The standard deviation of X, σₓ = 1.3.
The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 > 40. Which values of x hold true for the inequality?
Answer:
All integers greater than 12 (13 onwards) satisfy the inequality
Step-by-step explanation:
x + x + 1 + x + 2 > 40.
3x + 3 > 40
3x > 37
x > 12.3333
All integers greater than 12 (13 onwards) satisfy the inequality
Which situation shows a constant rate of change? Why?
A. The amount raised by a booster club compared w/ the number of raffle tickets sold
B. The weight of a kitten compared w/ its age in months
C. The height of a paper airplane over time
D. The number of goals scored in a soccer game compared w/ the minutes played
The situation that shows a constant rate of change the amount raised by a booster club compared w/ the number of raffle tickets sold.
A constant rate of change occurs when there is a consistent relationship between two variables, where a change in one variable consistently leads to a corresponding change in the other variable.
Here the booster club selling raffle tickets, a constant rate of change can be observed between the number of tickets sold and the amount of money raised by the club.
As the booster club sells more raffle tickets, the amount of money they raise increases.
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If x =-4 and y= 3 , what is the value of x - 3y^2 ?
A. -13
B. -23
C. -31
D. -85
Answer:
-31
Step-by-step explanation:
= x - 3y^2
= -4 - 3 × 3^2
= -4 - 27
= -31
hope it helps!
10)
Which statement BEST describes how to find the distance between -5 and 15?!
Answer: Subtract -5 from 15, or 15- -5= 15+5. The distance would be 20.
Step-by-step explanation:
Answer:
The distance between -5 and 15 is 20.
Step-by-step explanation:
First find the distance between -5 and 0, which is 5. Then find the distance between 0 and 15, which is 15. Add the distances together, and you get 20.
hope this helps :)
What is the expanded form of this number?
509.307
The expanded form of 509.307 will be [tex]5\times100+ 9\times1 + 3\times0.1 + 0\times0.01 + 7\times0.001[/tex]
What is an expanded form ?It is a way to write a number by adding the value of its digits
The expanded form of 509.307 will be
= [tex]500 \times (10^2) + 0\times10^1 + 9 \times10^0 + 3\times10^{-1} + 0\times10 ^{-2} + 7 \times10 ^{-3}[/tex]
= [tex]5\times100+ 9\times1 + 3\times0.1 + 0\times0.01 + 7\times0.001[/tex]
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Hudson is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 6 people. Hudson booked a total of 19 rooms which can accommodate 87 guests altogether. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system.
Answer:
Our system is : S + L = 19, and 3S + 6L = 87
Let # of small rooms = S
# of Large rooms = L
10 Large rooms and 9 Small rooms
Step-by-step explanation:
Let # of small rooms = S
# of Large rooms = L
S + L = 19
3*S + 6*L = 87
Our system is : S + L = 19, and 3S + 6L = 87
solve.
S = 19 - L
3*(19 - L) + 6L = 87
57 - 3L + 6L = 87
57 + 3L = 87
3L = 30
L = 10
S = 19 - 10 = 9
Answer:
Step-by-step explanation:
Let the number of smaller rooms be x
Total rooms are 19. So, number of larger rooms = 19 - x
Total guests = 87
3x + (19-x)6 = 87
what is 1/3 + 14 =26
Answer:
False
Step-by-step explanation:
Which statement is true about the effect of the 2-page introduction chapter?
The outlier of 2 increases the median page count.
The outlier of 2 increases the mean page count.
The outlier of 2 decreases the median page count.
The outlier of 2 decreases the mean page count.
Answer:
D
Step-by-step explanation:
The outlier of 2 decreases the mean page count.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
If the outlier is included in the calculation of the median and mean, then it will affect the measures of central tendency.
However, if the outlier is excluded from the calculation, then it will not affect the measures of central tendency.
If the 2-page introduction chapter is an outlier on the higher side of the distribution, the outlier of 2 increases the mean page count more than the median page count.
If the 2-page introduction chapter is an outlier on the lower side of the distribution, the outlier of 2 decreases the mean page count more than the median page count.
therefore, The outlier of 2 decreases the mean page count.
Learn more about Mean here:
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Complete question:
what is the slope of a line that goes through the points (3, -2) and (2, 3)
Answer:
-5
Step-by-step explanation:
To find the slope between two points we use
m = (y2-y1)/(x2-x1)
= (3 - -2)/(2 - 3)
= (3+2)/(2-3)
= 5/ -1
- 5
Answer:
M=-5
Step-by-step explanation:
y2-y1 over x2-x1
3+2 divided by 2-3
5/-1
-5
To find the area of the regular hexagon, a classmate uses 12m for the perimeter. What is your classmates error?
Answer:
Required was area, they provided the perimeter
Area = 6sqrt(3) m²
Step-by-step explanation:
Perimeter = 6s
6s = 12
s = 12/6 = 2m
Area = 3sqrt(3)/2 × 2²
Area = 6sqrt(3) m²
sqrt: square root
Ted borrowed $100 from 2 years at a 10% interest rate. How much interest will he pay on the loan? What will be the total amount due at the end of the loan?
Answer:
Interest = $20
Amount due = $120
Step-by-step explanation:
This is a Simple Interest problem. Simple interest is given as:
I = (P * R * T) / 100
Where I = interest
P = principal or amount loaned
R = rate of interest
T = time elapsed
Ted borrowed $100 from 2 years at a 10% interest rate.
This means that P = $100, R = 10%, T = 2 years.
Hence, the interest will be:
I = (100 * 10 * 2) / 100
I = 2000 / 100
I = $20
The interest after two years will be $20.
Therefore, the total amount due at the end of the loan is:
A = P + I
A = 100 + 20 = $120
The amount due is $120.
How does the volume of a square pyramid change if the base area is quadrupled and the height is reduced to 1/9 of its original size
Final answer:
The volume of a square pyramid changes by a factor of 4/27 when the base area is quadrupled and the height is reduced to 1/9 of its original size.
Explanation:
The volume of a square pyramid can be found using the formula:
Volume = (1/3) * Base Area * Height
If the base area is quadrupled, it means the new base area is 4 times the original.
If the height is reduced to 1/9 of its original size, it means the new height is 1/9 of the original.
Therefore, the change in volume can be calculated as:
Change in Volume = (1/3) * (4 * Original Base Area) * (1/9 * Original Height)
Simplifying the expression, we get:
Change in Volume = (4/27) * Original Volume
Solve the equation. 5x + 8 − 3x = −10 x = −9 x = −1 x = 1 x = 9
Answer:
[tex]x=-9[/tex]
Step-by-step explanation:
[tex]5x+8-3x=-10[/tex]
Simplify to get [tex]2x+8=-10[/tex]
Find what [tex]2x[/tex] equals to by taking away 8, [tex]2x = -18[/tex].
Divide by 2 to find x, [tex]x = -9[/tex]
Answer:
X = -9
Step-by-step explanation:
A) A counterclockwise rotation
B) A reflection over the y-axis
C) A reflection over the x-axis
D) A counterclockwise rotation of 90 degrees about the origin
Answer:
C) A reflection over the x-axis
Step-by-step explanation:
It shows the reflection but over the x-axis.
What is the image of (-1,-6) after a reflection over the y-axis?
Answer:
your answer is (1,-6)
Step-by-step explanation:
when a point is reflected in y-axis, then the y-co-ordinate remains same and then x-co-ordinate becomes the opposite of that number.
When you reflect a point across the y-axis, only the x-coordinate changes while the y-coordinate stays the same. For example:
(-x, -y) -> (x, -y)
So:
(-1, -6) -> (1, -6)
Best of Luck!
HELP!!! PLEASE!!! NOW!!!!!! ASAP!!!!
Answer:
y < -5
Step-by-step explanation:
19 > -6 - 5y
add 6 to both sides
25 > - 5y
divide by -5
-5 > y
Answer:
y>-5.
Step-by-step explanation:
Solved it don't really know how to explain it. :/