The volume of a cylinder is given by the equation presented as follows:
V = πr²h.
In which:
r is the radius.h is the height.How to obtain the volume of the cylinder?The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
Hence the measures must be identified and have it's values replaced into the formula to obtain the volume of a cylinder.
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Two independent samples have been selected, 6262 observations from population 1 and 5151 observations from population 2. The sample means have been calculated to be x¯¯¯1=13.2x¯1=13.2 and x¯¯¯2=11.5x¯2=11.5. From previous experience with these populations, it is known that the variances are σ21=39σ12=39 and σ22=29σ22=29.For the hypothesis test of H0:(μ1−μ2)=1.6H0:(μ1−μ2)=1.6 and Ha:(μ1−μ2)≠1.6Ha:(μ1−μ2)≠1.6 Use α=0.04α=0.04.(a) Compute the test statistic.z=z=(b) Find the approximate p-valuep−value=p−value=The final conclustion isA. There is not sufficient evidence to reject the null hypothesis that (μ1−μ2)=1.6(μ1−μ2)=1.6.B. We can reject the null hypothesis that (μ1−μ2)=1.6(μ1−μ2)=1.6 and accept that (μ1−μ2)≠1.6(μ1−μ2)≠1.6.
a) The test statistic for the two independent samples is 0.7
b) The p-value for the test sample is 0.483 , here p-value is greater than significance level.Thus, there is no sufficient evidence to reject null hypothesis.
Given,
significance level, \alpha = 0.04
From population 1,
Mean, \(x_1=13.2\)
variance, \(\sigma^2_1=39\)
standard deviation, \(\sigma_1 =6.24\)
sample size,\(n_1=62\)
From population 2,
Mean, \(x_2=11.5\)
variance, \(\sigma^2_2 = 29\)
standard deviation, \(\sigma_2=4.47\)
Test hypothesis,
\(H_0:(\mu_1-\mu_2)=1.6\\\\H_a:(\mu_1-\mu_2)\neq1.6\)
a)
The test statistic can be determined by formula,
\(z=\frac{(x_1-x_2)-d}{\sqrt{\frac{S^2_1}{n^2_1}+\frac{S^2_2}{n_2}}}\)
\(d=\mu_1-\mu_2=1.6\)
\(z=\frac{(13.2-11.5)-1.6}{\sqrt{\frac{6.24^2}{62^2}+\frac{4.47^2}{51}}}\\\\z=\frac{0.1}{\sqrt{0.01+0.007}}\\\\z=\frac{0.1}{0.13}=0.7\)
b)
P-value can be calculated by the z-score table
as z=0.7 then from z-value table
p=0.483
A p-value greater than 0.04 (> 0.04) indicates strong support for the null hypothesis. This means that the null hypothesis is retained and the alternative hypothesis is rejected. It is important to note that you cannot accept the null hypothesis; we can only reject it or fail to reject it.
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Please help me, I need it asap
Answer:
70°Step-by-step explanation:
We can see that
111 and A are of same value as vertical anglesThe angle formed by intersecting chords measures the half the sum of intercepted arcs.
\((152 + ?)/2=111 \\152 + ? = 2*111\\152 + ? = 222\\? = 222 - 152\\? = 70\)What is the equation of the line that passes through the point (3,6) and has a slope of 4/3
Answer:
y = 4/3x+2
Step-by-step explanation:
We can use the slope intercept form of the equation
y = mx+b
Where m is the slope and b is the y intercept
y= 4/3 x +b
Substitute the point into the equation
6 = 4/3(3) +b
6 = 4 +b
Subtract 4 from each side
2 = b
y = 4/3x+2
Explain whatos wrong with each of the following simulation designs.
a) A roulette wheel has 38 colored slots - 18 red, 18 black, ard? green. To simulate one spin of the
wheel, let numbers 00 to 18 represent red, 19 to 37 represent black, and 38 to 40 represent green.
There are 19 members from 00 to 18 who do not equal 18.
There are 19 members from 19 to 37 who do not equal 18.
There are 3 members in the age range of 38 to 40, not 2.
Given info,
Explain what is wrong with each of the following simulation designs.
⇒ A roulette wheel has 38 colored slots - 18 red, 18 black members green. To simulate one spin of the wheel, let members 00 to 18 represent red, 19 to 37 represent members and 38 to 40 represent green.
The mistake is;
→ There are 19 member from 00 to 18 which is not 18.
→ There are 19 member from 19 to 37 which is not 18.
→ There are 3 member from 38 to 40 which is not 2.
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Brainliest for correct answer
Question 1
2
The winner of the 95th annual hotdog eating contest consumed 207 hotdogs (and buns!) in 10 minutes.
You are determined to break this record, so you would have to consume 208 hotdogs and buns in 10 minutes.
How many hotdogs would you have to eat every minute to beat the last winner?
Type the number of hotdogs in the blank below (JUST the number).
Assuming you eat at the average rate needed to win the contest, how many total hotdogs will you consume in two minutes?
Type the number of hotdogs in the blank below (JUST the number).
Assuming you eat at the average rate needed to win the contest, how many total hotdogs will you consume in three minutes?
Type the number of hotdogs in the blank below (JUST the number).
You need to consume 20.8 hotdogs in 1 minute in order to beat the winner. Hotdogs consumed in 2 minutes = 2(20.8) = 41.6. Hotdogs consumed in 3 minutes = 3(20.8) = 62.4.
What is cross multiplication?To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
Given that:
208 hotdogs = 10 minutes.
x = 1 minute
Using the cross multiplication we have:
x = 208 / 10
x = 20.8 hotdogs.
Hence, you need to consume 20.8 hotdogs in 1 minute in order to bea the winner.
Hotdogs consumed in 2 minutes = 2(20.8) = 41.6.
Hotdogs consumed in 3 minutes = 3(20.8) = 62.4.
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Write the slope-intercept form of the equation of the line.
slope = 1, y, int = -2
Answer:
y = x - 2
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 1
y-intercept b = -2
Step 2: Write linear function
y = x - 2
Answer: B, y=x-2
Step-by-step explanation:
The slope-intercept form is y=mx+b where m=slope and b=y intercept
therfore, subtituting 1 for m and -2 for b
y=x-2
Help plz I will give Brainlyest
i need some help here plzzzzzzzzzz
NO LINKS!!!!!!
Answer:
I'm pretty sure it's A,B, and D.
Step-by-step explanation:
A partial solution set is given for the polynomial equation. Find the complete solution set. (Enter your answers as a comma-separated list.)2x^3 − 5x^2 − 28x + 15 = 0; {1/2}
Answer:
2x^3 − 5x^2
Step-by-step explanation:
please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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360 students are attending an awards banquet. 120 of them won awards in English. 84
of them won awards in Mathematics. 132 of them won awards in English or
Mathematics. If a student is selected at random to give the opening speech, what is the
probability they won an award in English and Mathematics?
The probability of a student selected at random to give the opening speech having won an award in English and Mathematics is 3/10.
Probability problemLet's start by using the formula:
P(A and B) = P(A) + P(B) - P(A or B)
where
A is the event of winning an award in EnglishB is the event of winning an award in Mathematics.From the information given:
P(A) = 120/360 = 1/3P(B) = 84/360 = 7/30P(A or B) = 132/360 = 11/30Substituting the values:
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 1/3 + 7/30 - 11/30
P(A and B) = 1/3 - 1/30
P(A and B) = 9/30
In other words, the probability of a student selected at random to give the opening speech having won an award in English and Mathematics is 3/10.
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Increase 2,400 by 5%
Increasing 2400 by 5% gives us 2520
we can increase the value by using the formula:
\(initial value+ percentage increase *initial value\) = increased percentage
in the aforementioned question we have
initial value = 2400
percentage increase = 5%
thus we can find out the increased percentage by:
2400 + 2400 X (5/100)
=2400 + 120
=2520
the value by which 2400 is increased is 120
to arrive at the increased value which is 2520
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how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
A set of twins purchase a small, oddly shaped plot of land for their retirement. They want to divide the parcel along the grid lines into two identical plots. Can they do it and how?
The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.
To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.
For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.
If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.
However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.
To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.
If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.
the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.
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Note the full question may be :
To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.
Need help with geometry
Answer:
90 cm3
Step-by-step explanation:
You multiply 2 by 5 which is 10, then by 9 and get 90 cm3
Simplify the expression √48
Please explain your answer. Will mark Brainliest (question 9)
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
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Which function has a greater Y intercept
What is the quotient of 1.232 x 10^8 and 3.85 x 10^5 expressed in scientificnotation?
The quotient of the numbers are:
\(\frac{1.232\times10^8}{3.85\times10^5}\)Recall the quotient of powers property which states that for a real number a and integers x and y, the following is true:
\(\frac{a^x}{a^y}=a^{x-y}\)Divide the numbers (1.232÷3.85) and apply the quotient of powers property to the powers:
\(0.32\times10^{8-5}=0.32\times10^3=3.2\times10^2\)The quotient expressed in scientific notation is:
\(3.2\times10^2\)a city has 5 cm of snow on the ground before snow storm bonus no sign of the amount of snow on the ground increased by 2 cm in an hour which table shows a smaller 8 or change that When one describes
Answer:
yb
Step-by-step explanation:
In 2012, the population of a city was 6.38million. The exponential growth rate was 2.38% per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 9million?
d) Find the doubling time.
Question content area bottom
Part 1
a) The exponential growth function is P(t)
enter your response here, where t is in terms of the number of years since 2012 and P(t) is the population in millions.
The exponential growth function is P(t) = 6.38 million x (1.0238^t).
The population of the city in 2018 is 7.35 million.
The year the population would be 9 million is 14.46 years.
The doubling time is 29.12 years.
What is the exponential growth function?FV = P (1 + r)^n
FV = Future populationP = Present populationR = rate of growthN = number of years6.38 million x (1.0238^t)
Population in 2018 = 6.38 million x (1.0238^6) = 7.35 million
Number of years when population would be 9 million : (In FV / PV) / r
(In 9 / 6.38) / 0.0238 = 14.46 years
Doubling time = In 2 / 0.0238 = 29.12 years
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Find the range of the function given the domain.
f(x) = x2 +2 ;D: {0, 0.25, 0.5, 0.75, 1}
Answer:
{2, 2.0625, 2.25, 2.5625, 3}
Step-by-step explanation:
To find the range we can simply plug in the values of the domain and solve for the range. (The domain is the x-values)
Assuming x2 means x^2, we can plug in 0, 0.25, 0.75, 0.5, and 1 for x
0^2+2=2
0.25^2+2=0.0625+2=2.0625
0.5^2+2=0.25+2=2.25
0.75^2+2=0.5625+2=2.5625
1^2+2=1+2=3
Thus, the range is {2, 2.0625, 2.25, 2.5625, 3}
A box has a length of 15 centimeters, a width of 22 centimeters, and a height of 9 centimeters. What is the surface area of the box? 1,326 cm 2 92 cm 2 5,940 cm 2 663 cm 2
The surface area of the figure will be equal to 1326 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.
Given that:-
A box has a length of 15 centimetres, a width of 22 centimetres, and a height of 9 centimetres.The surface area will be calculated as:
SA = 2 { LW + LH + WH )
SA = 2 { ( 9 x 12) + (15 x 22 ) + (15 x 9 )}
SA = 1326 square meters.
Therefore the surface area of the figure will be equal to 1326 square meters.
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By the end of the first week a movie had grossed $2.3million. By the end of is six week, it had grossed $6.8million. Graph the data with the week on the vertical axis, and draw a line through the points.Then find and interpret the slope of the line.
Answer:
The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.
Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9
The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.
Mr. Foster paid $160 to rent a car for 5 days. If the cost for each day was the same, how much did he pay each day that he rented the car?
Answer is 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
160/5 = 32 because if your paying 160 dollars every week you for 1 month which is v weeks you're paying 640 a month for renting a car so if you divide 640/20 you get 32 and 160 /5 is 32
the bakers want to sell their house for 145,500.After 2 months,the bakers decided to mark down the price of their house 8% to sell more quickly. How much are the bakers selling their house for now?
Answer:
133,860
Step-by-step explanation:
The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".
* No we have our key elements:
- Starting amount = 145,500
- Rate of change = 8%
* We will get the "8%" of the number 145,500
- Firstly, "8%" means 8/100
- So, 0.08 will be our new rate of change.
* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.
- 145,500 × 0.08 = 133,860 ; the same as
145,500 × 8/100 = 133,860
Please tell me I put 100 points for this
Answer:
it is a -3/-2
Step-by-step explanation:
Find the area and circumference of a circle with a radius of 13cm. ::note:: answers can be written in decimal form to the nearest hundredth (for example, 9.42) or in terms of pi (for example if you wanted to say 3π
you could write 3 pi--the pi symbol is not available to Area=
Circumference=
Answer:
14cm
Step-by-step explanation:
Answer:
28 cm2
14 cm
Step-by-step explanation:
pleas help. 10 pointssss
Answer:
6
Step-by-step explanation: