Answer:
3
Step-by-step explanation:
Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
What is Central Limit Theorem:?The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean.
here, we have,
Given,
In the question:
The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15 seconds.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
n = 4 , σ = 20, thus:
s = σ /√n
= 20/√4
= 10
Thus, the correct answer is:
Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
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Solve these equations: |x-6|=-10
Answer:
I got x= -4 as the answer. I hope it helps
Manny and james and idris equally shared 1/2 of a pie. which fraction of the whole pie did each of them receive? GIVEING BRAINLIEST
Answer:
1/6 of whole pie
Step-by-step explanation:
Half a pie divided by three pie eaters is 1/6 pie each.
Answer:
0.16
Step-by-step explanation:
1/3 ÷ by 3 djsjsjjsjssj
PLEASE HELP I WILL MARK BRAINLIEST!!! :)
Answer:
1.c
Step-by-step explanation:
please click the heart and rate excellent and brainleist to☻❤☺️☺️❤☻
Find c.
Round to the nearest tenth:
8 cm
82
55°
b
c = [? ]cm
Law of Sines:
sin A
sin C
sin B
b
Please help asap
Answer:
9.7cm
Step-by-step explanation
According to the sine rule;
a/sinA = c/sinC
8/sin55 = c/sin82
Cross multiply
csin55 = 8sin82
c(0.8192) = 8(0.9903)
c = 8(0.9903)/0.8192
c = 7.9221/0.8192
c = 9.67
Hence the value of c to the nearest tenth is 9.7cm
what is the slope of a line passing through (-3,-7) and (1,4)
solution,
slope(m) = y2-y1/ x2-x1
= 4+7/1+3
=11/4
I hope this is correct, the formula can be wrong so pls double check if u have formula.
Can you guys help me with a math problem
If Jacob had an allowance for 20 every 2 weeks how much money will he have saved up after 17 months
Please help I am on a timer
Answer:
680.. that is if we are only doing 4 weeks = a month but yeah :)
Step-by-step explanation:
Answer:
about 680
Step-by-step explanation:
17 months rounds up to 68 weeks so divide by 2 and it would make 34 since jacob is getting the allowance every two weeks then multiply it by 20 which makes 680
i don't know if this is correct but I hope it helps
if x/6 = 6/9 whats the value of x and pls give explanantion
Answer:
x=4
Step-by-step explanation:
[tex] \frac{x}{6} = \frac{6}{9} = > 9x = 6 \times 6 = > x = \frac{36}{9} = > x = 4[/tex]
There are three colors of jellybeans in a jar: Red, orange, and yellow. On a random pick, the probability of getting a red jellybean is 1/8 and the probability of getting an orange jellybean is 1/4. What is the probability of getting a yellow jellybean?
Answer: 5/8
Step-by-step explanation:
Probability of getting a red jellybean = 1/8
Probability of getting an orange jellybean = 1/4
Probability of getting a yellow jellybean = 1 - (⅛ + ¼)
= 1 - (1/8 + 2/8)
= 1 - 3/8
= 5/8
Therefore, the probability of getting a yellow jellybean is 5/8
80% of the tickets sold at a water park were child tickets. If the park sold 720 tickets in all, how many child tickets did it sell?
Answer:
576 child tickets were sold.
Step-by-step explanation:
Since you know the amount of tickets that were sold and the percentage of the tickets that were child tickets, you have to multiply the number of tickets sold by that percentage to find the answer:
720*80%= 576
According to this, the answer is that 576 child tickets were sold.
Find the missing measurement round answer to nearest tenth
Answer:
hope this helps you out five is a little harder to read sorry
evaluate 4^3+3x5-8Captionless Image
Answer:
71
Step-by-step explanation:
64+3×5-8
64+15-8
79-8
71
Answer:
71
Step-by-step explanation:
4^3 = 64 + 15 = 79 - 8 = 71
Give me my brainllest
Rami designed a small pond for a restaurant. The diagram below shows the measurements of the pond. How many cubic feet of water are needed to fill the pond?
Answer:
426
Step-by-step explanation:
help please!
integrate the following:
[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2a) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
Answer:
[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following integration:
[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2 \alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
notice that you can simplify the integrand
recall that,
[tex] \displaystyle \cos(2 \theta) = 2 \cos(\theta) ^{2} - 1[/tex]
thus substitute:
[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - \{2\cos ^{2} (\alpha ) - 1 \} }{ \cos(x) - \cos( \alpha ) } dx[/tex]
remove parentheses:
[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - 2\cos ^{2} (\alpha ) + 1}{ \cos(x) - \cos( \alpha ) } dx[/tex]
[tex]\displaystyle \int \frac{ 2\cos^{2} (x) - 2\cos ^{2} (\alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
factor out 2:
[tex]\displaystyle \int \frac{ 2(\cos^{2} (x) - \cos ^{2} (\alpha )) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
we can use algebraic identity i.e
a²-b²=(a+b)(a-b) to factor the denominator
[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cos(x) - \cos( \alpha ) ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
reduce fraction:
[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cancel{\cos(x) - \cos( \alpha ) ) }}{ \cancel{\cos(x) - \cos( \alpha ) }} dx[/tex]
[tex] \displaystyle \int 2( \cos(x) + \cos( \alpha ) )dx[/tex]
distribute:
[tex] \displaystyle \int 2 \cos(x) + 2\cos( \alpha ) dx[/tex]
use sum integration formula:
[tex] \rm \displaystyle \int 2 \cos(x) dx+ \int2\cos( \alpha ) dx[/tex]
recall integration rules:
[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) [/tex]
and we of course have to add constant of integration
[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]
Calculate the expected value of playing a lottery ticket game where each ticket costs $5, and the chance of having winning ticket is one in one million, and the payout for having a winning ticket is 4.9 billion dollars. Round the expected value to the nearest cent.
Answer:
$4895
Step-by-step explanation:
P(winning) = 1 / 1000000 = 0.000001
P(not winning) = 1 - 1/1000000 = 0.999999
Winning amount = 4,900,000,000 - 5 = 4899999995
Amount lost = - 5
__ X: - 5 _________ 4899999995
P(X) : 0.999999 ___ 0.000001
Expected value E(x) = Σx * p(x)
E(x) = - 5(0.999999) + 4899999995(0.000001)
E(x) = - 4.999995 + 4899.999995
E(x) = 4895
Hence, expected value is 4895
Which of the following has zero width and an infinite length? A. a point B. a line segment C. a line D. a plane
Answer:line
Step-by-step explanation: the section between any two points on a line is called a line segment a line segment can be very long or very short or somewhere in between the difference between a line and a line segment is that a line segment has two endpoints and a line goes on forever
The triangle and the trapezoid share a 15 inch base and height of 10 inches.
The area of the trapezoid is less than twice the area of the triangle. Find the value of x. Explain your reasoning.
Can the area of the trapezoid be exactly twice the area of the triangle? Explain your reasoning.
Answer:
15 ; yes
Step-by-step explanation:
Base = 15 inches
Height = 10 inches
Area of triangle = 1/2* base * height
Area of triangle = 0.5 * 15 * 10
Area of triangle = 75 in²
Area of trapezium < 2(75)
Area of trapezium, A
A = 1/2*(x+b)h
x = top base ; b = bottom base ; h = 10
1/2*(x + 15)10 < 150
5x + 75 < 150
5x < 150 - 75
5x < 75
x < 15
Hence, Area of trapezoid :
A = 1/2 * (15 + 15)10
A = 1/2 * (30)10
A = 1/2 * 300
A = 150
Hence, Area of trapezium can be twice the area of triangle.
2(75) = 150
The graph shows the population of a city from 1900 to 2000. What is the average rate of change of the population between 1950 and 1980?
Please help! I attached a photo of the graph.
Answer:
-15
Step-by-step explanation:
in 1950 it was 45 and in 1980 it was 30 so it is -15
The average rate of change can be define as the value of something is changing with respect to another thing is tinging. The average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.
Given information-The given graph shows the population of a city between the year 1900 to 2000.
Average rate of change-The average rate of change can be define as the value of something is changing with respect to another thing is tinging.
Form the given graph,
The year 1950 is between the year 1940 and year 1960. The value at the y axis where the population (in thousand) shown is 45,000 for the year 1950.
The year 1980 is shown in graph at the x axis and the value of the population in the y axis is 30,000.
Thus the population is decreasing from year 1950 to 1980. The difference in the population of the year 1950 and 1980 is,
[tex]d=45000-30000[/tex]
[tex]d=15000[/tex]
Thus the change in the population between 1950 and 1980 is 15,000.
Average rate of change of the population between 1950 and 1980 -
As the population and the year both are changing. The rate of change for the population with respect to the year can be calculating by dividing the difference of the population between two year to the total years between the 1950 to 1980.
There is total 30 year from 1950 to 1980, thus the average rate of change is,
[tex]A(x)=\dfrac{15000}{30} \\ A(x)=500[/tex]
Thus the average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.
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What’s the answer?!!!!!!
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.
longest side = 30 , then 30² = 900
20² + 23² = 400 + 529 = 929 ≠ 900
Then the triangle is not right.
Consider the net of a prism below. Describe the prism that the net models.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the net of the prism is not shown.
However, I will give a general explanation on how to determine the net of the three popular prisms.
(1) Rectangular prism.
It is made up of 6 rectangles
(2) Triangular prism
It consists of 3 rectangles and 2 triangles
(3) Square prism
It is made up of 6 squares
See attachment for the net of each prism
What are vertical angles called?
Answer:
They are called vertical angles but are also known as "Vertically Opposite Angles"
Step-by-step explanation:
can i get brainliest im 1 away from ranking up
Answer:
"Vertical" refers to the vertex
Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.
Step-by-step explanation:
The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles.
I'M SO SORRY IF WRONG FORGIVE ME the internet gave me thisTranslate 5 units left and 3 units down.
Answer: B
Step-by-step explanation: Hope this help :D
Which of the following samples would meet the "random" condition?
Answer:
Brother there's nothing there
Step-by-step explanation:
Translate algebra expressions take away 2 from 8 times f
Answer:
Algebraic Expression:
[tex]8f - 2[/tex]
Answer:
(8f)-2
Step-by-step explanation:
8 times f is multiplication, take two away is subtraction.
Critique the reasoning of others. Sally states that the equation g(x) = x2 + 3x − 10 represents a quadratic function that is the product of the expressions that define the two linear functions a(x) = x + 2 and b(x) = x − 5. Is Sally correct? Explain.
Answer:
Step-by-step explanation:
No, not quite. She's close.
The middle term (often called the linear term) is + which means that the absolute value of the factors must be plus.
(x + 5)(x - 3) is what should should think.
x + 5 = 0
x = - 5
x + 2 = 0
x = - 2
(x + 5)(x - 2)
x^2 - 2x + 5x - 10
x^2 + 3x - 10
help me pls very much appreciated luvs <33
Answer:
18
Step-by-step explanation:
Since this is a multiple choice question, I will employ the guess and check method - meaning I will check each answer one by one.
Variable x = dimes = $0.10
Variable y = quarters = $0.25
Set up a system of equations:
x + y = 38
x(0.10) + y(0.25) = 6.80
Plug in each choice into the second equation. You can find the number of quarters that correspond to each number of dimes by using the first equation.
20 dimes:
20 + y = 38
y = 18
20(0.10) + 18(0.25) = 6.80
2 + 4.5 = 6.80
6.5 does not equal 6.80
Because dimes (x) are worth less than quarters (y), this result tells us the answer will be less than 20 dimes as with 20 or more we have less than $6.80. Another example just to show this is true:
38 dimes:
38 + y = 38
y = 0
38(0.10) + 0(0.25) = 6.80
3.8 + 0 = 6.80
3.8 does not equal 6.80.
Since x is worth less than y, we need more of y rather than x. Adding more x will only mean we will get a lower price. Adding more y will mean we get a higher price which is what we need. So only solve for x that is less than 20.
6
6 + y = 38
y = 22
6(0.10) + 32(0.25) = 6.80
0.60 + 8 = 8.60
8.60 does not equal 6.80.
This result is higher than what we wanted (6.80) which means we need more x. Now we only have to solve for x numbers that are greater than 6 and less than 20.
18
18 + y = 38
y = 20
18(0.10) + 20(0.25) = 6.80
1.8 + 5 = 6.8
6.8 does equal 6.8.
Correct!
there is no answer for this on brainly, if you answer this, you're making history.
Answer:
103.62
Step-by-step explanation:
Formula: v = πr²[tex]\frac{h}{3}[/tex], v = πr²h
Given: π = 3.14, r = 3, h = 5
Sub: 3.14(3)²[tex]\frac{5}{3}[/tex]
Simplify: 3.14(9)[tex]\frac{5}{3}[/tex]
Simplify: (28.26)[tex]\frac{5}{3}[/tex]
Solve: 47.1
Given: π = 3.14, r = 3, h = 6
Sub: 3.14(3)6
Simplify: (9.42)6
Solve: 56.52
V = v1 + v2
V = 47.1 + 56.52
V = 103.62
The total volume of the figure is 103.62
A regular pentagon has an apothem of 4 centimeters.
What is the area of the regular pentagon in square centimeters? Round your answer to
the nearest tenth.
Answer:
[tex] \boxed{A ≈ 58.1 \: cm^{2}} [/tex]
Step-by-step explanation:
When given a regular polygon.
s = a × 2 tan (π / n [radians]).
s = a × 2 tan (180 / n [degrees])
A = (n × s × a) / 2
Where s is the side length, n is the number of sides, a is the apothem length, and A is the area.
You may also see A = p × a.
Where p is the perimeter, the perimeter is the same as n × s.
The apothem is also known as the inradius.
______________________________________
Given a regular pentagon which has 5 sides, and an apothem of 4 cm.
s = 4 × 2 tan (180 / 5) = 4 × 2 × (0.726542528) = 8 × (0.726542528) = 5.81234022404.. ≈ 5.8 cm.
Now that we have sufficient information, we can now solve for the area.
A = (n × s × a) / 2
A = (5 × 5.81234022404.. cm × 4) / 2
A = (20 × 5.81234022404.. cm) / 2
A = (116.236804481.. cm²) / 2
A = 58.1234022404.. cm²
A ≈ 58.1 cm²
The area of the regular polygon is the amount of space it covers
The area of the regular polygon is 58.1 square centimeter
The given parameter is:
[tex]\mathbf{a=4}[/tex]
Start by calculating the side lengths using
[tex]\mathbf{s = 2a\ tan (\frac{180}{ n} )}[/tex]
Where n represents the number of sides.
In this case
[tex]\mathbf{n =5}[/tex]
So, we have:
[tex]\mathbf{s = 2a\ tan (\frac{180}{ 5} )}[/tex]
[tex]\mathbf{s = 2a\ tan (36)}[/tex]
Substitute 4 for (a)
[tex]\mathbf{s = 2 \times 4\ tan (36)}[/tex]
[tex]\mathbf{s = 8\ tan (36)}[/tex]
[tex]\mathbf{s = 5.8123}[/tex]
The surface area is then calculated as:
[tex]\mathbf{A = \frac{n \times s \times a}{ 2}}[/tex]
So, we have:
[tex]\mathbf{A = \frac{5 \times 5.8123 \times 4}{2}}[/tex]
[tex]\mathbf{A = 58.123}[/tex]
Approximate
[tex]\mathbf{A = 58.1}[/tex]
Hence, the area of the regular polygon is 58.1 square centimeter
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Find the square root.
-
[tex]\sqrt{x} 9/25[/tex]
Answer:
1.4
Step-by-step explanation:
............... ..............
0 0
please show work
Max has a collection of 99 dimes and pennies worth $4.41. How many pennies does he have?
Answer:
61 pennies
Step-by-step explanation:
d + p = 99
0.1d + 0.01p = 4.41
d = 99 - p
0.1(99 - p) + 0.01p = 4.41
9.9 - 0.1p + 0.01p = 4.41
-0.09p = -5.49
p = 61
Answer: 61 pennies
.......................................
Answer:
150
Step-by-step explanation: