Answer: approximately 10.8 centimeters
Step-by-step explanation:
We have a square, where each side measures approx. 4.25 in
Now we know that 1in ≈ 2.54 cm
Then, in 4.25 in, we have 4.25 times 1 inch, so we have 4.25 times the length of 2.54 cm
So the approximate measure of the sides in centimeters is:
4.25*(2.54)cm = 10.8 cm
So we have that each side measures approximately 10.8 centimeters
x+3y-Z=0
2x+y+Z=1
3X-y+Z=3
The average age of a part-time seasonal employee at a Vail Resorts ski mountain has historically been 37 years. A random sample of 50 part-time seasonal employees in 2010 had a mean of 38.5 years with a standard deviation of 16 years. Required:a. At the 5 percent level of significance, does this sample show that the average age was different in 2010? b. Which is the right hypotheses to test the statement?c. What are the test statistic and critical value?
Answer:
No the sample does not show that the average age was different in 2010
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is [tex]\= x = 38.5[/tex]
The population mean is [tex]\mu = 37[/tex]
The standard deviation is [tex]\sigma = 16[/tex]
The level of significance is [tex]\alpha = 5 \% = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 37[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 37[/tex]
The critical value of the level of significance obtained from the normal distribution table is ([tex]Z_{\alpha } = 1.645[/tex] )
Generally the test statistics is mathematically evaluated as
[tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{ 38.5 - 37}{ \frac{16}{\sqrt{50} } }[/tex]
[tex]t = 0.663[/tex]
Now looking at the value t and [tex]Z_{\alpha }[/tex] we see that [tex]t < Z_{\alpha }[/tex] hence we fail to reject the null hypothesis.
This mean that there is no sufficient evidence to state that the sample shows that the average age was different in 2010
Test the age of the participants (AGE1) against the null hypothesis H0 = 34. Use a one-sample t-test. How would you report the results?
Answer:
t = -1.862, df = 399, p > 0.05
Step-by-step explanation:
The null hypothesis is the statement which is test for its validity. The decision to accept or reject the null hypothesis is based on the test statistics value. In the given question the null hypothesis is H0 = 34. There is one sample t-test for the testing of null hypothesis. The null hypothesis will be same for each type of one sample t-test. The null hypothesis assumes that the difference between the true mean and comparison value is zero.
Luis’s cedar chest measures 4 feet long, 2 feet wide, and 2 ¼ feet high. What is the volume of the chest?
Answer:
[tex]4 {ft}^{3} [/tex]
Step-by-step explanation:
[tex]2 \times \frac{1}{4} = 0.5 \\ v = lbh \\ 4 \times 2 \times 0.5 \\ = 8 \times 0.5 \\ = 4 {ft}^{3} [/tex]
The volume of Luis’s cedar chest is 18 cubic feet.
The dimensions of Luis’s cedar chest are length=4 feet, width=2 feet and height=2 1/4 feet.
What is the formula to find the volume of the cuboid?The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. If we have a rectangular sheet and we go on stacking such sheets, we will end up getting a shape that has some length, breadth, and height.
The formula to find the volume of the cuboid is l×b×h.
Where, l=length, b=breadth or width and h=height.
Now, volume=4×2×2.25=18 cubic feet.
Therefore, the volume of Luis’s cedar chest is 18 cubic feet.
To learn more about the volume of the cuboid visit:
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Which of the following best represents the average rate at which the human hair grows?
Answer:
1/2 inch per month
Step-by-step explanation:
The average rate hair grows is about half an inch per month which is 6 inches per year.
If an adult male is told that his height is 3 standard deviation above the mean of the normal distribution of heights of adult males, what can he assume?
Answer:
He can be on either the lower end of that 95%, or on the higher end. this guy is not a too short, nor is he extremely tall.
Sry if it's nor right, It was a little confusing.
Hope this helps!（づ￣3￣）づ╭❤～
He can be on either the lower end of that 95%, or on the higher end.
This guy is not too short, nor is he extremely tall.
We have given that
Height =2
Everything on the normal model is within 2 standard deviations away from the mean.
What is the standard deviation?The standard deviation is a measure of the amount of variation or dispersion of a set of values.
So He can be on either the lower end of that 95%, or on the higher end.
This guy is not too short, nor is he extremely tall.
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business/multivariable calc question
help needed asap!!!!
I solved and got a max of (8/5,8) at 64/5
Answers:
There is a max value of 81/8 located at (x,y) = (9/8, 9)
=============================================================
Explanation:
Solve the second equation for y
8x+y = 18
y = 18-8x
Plug this into the first equation
f(x,y) = x*y
g(x) = x*(18-8x)
g(x) = 18x-8x^2
This graphs out a parabola that opens downward, and has a max point at the vertex.
If you apply the derivative to this, you get g ' (x) = 18 - 16x
Set this equal to zero and solve for x
g ' (x) = 0
18 - 16x = 0
18 = 16x
16x = 18
x = 18/16
x = 9/8
Use this x value to find y
y = 18 - 8x
y = 18 - 8(9/8)
y = 18 - 9
y = 9
So the max is x*y = (9/8)*9 = 81/8
Or we could say
g(x) = 18x-8x^2
g(9/8) = 18(9/8)-8(9/8)^2
g(9/8) = 81/8
----------------
To summarize,
There is a max value of 81/8 located at (x,y) = (9/8, 9)
When saying "max value of something", we're basically talking about the largest f(x,y) value. Which in this case is the largest x*y value based on the fact that 8x+y = 18.
A practical real world example of a problem like this would be if you wanted to max out a certain rectangular area based on constraints of how much building material you have for the fence.
Is it ever possible that after an elastic collision (where a moving mass (1) strikes a stationary mass (2)) that the two objects will have exactly the same final speeds? If so, how must the two masses compare? (Hints, 1st : there are two possibilities as to how the speeds could be equal, 2nd : equations below should be helpful).V1f=V1o (m1-m2/m1+m2) V2f=V1o (2m1/m1+m2)
Answer:
Step-by-step explanation:
It is possible that after an elastic collision a moving mass (1) strikes a stationary mass (2) and the two objects will have exactly the same final speed.
During an elastic collision, the momentum and kinetic energy are both conserved. Since one of the object is a stationary object, its velocity will be zero hence the other moving object will collide with the stationary object and cause both of them to move with a common velocity. The expression for their common velocity can be derived using the law of conservation of energy.
Law of conservation of energy states that the sum of momentum of bodies before collision is equal to the sum of momentum of the bodies after collision.
Since momentum = mass*velocity
Before collision
Momentum of body of mass m1 and velocity u1 = m1u1
Momentum of body of mass m2 and velocity u2 = m2u2
Since the second body is stationary, u2 = 0m/s
Momentum of body of mass m2 and velocity u2 = m1(0) = 0kgm/s
Sum of their momentum before collision = m1u1+0 = m1u1 ... 1
After collision
Momentum of body of mass m1 and velocity vf = m1vf
Momentum of body of mass m2 and velocity vf = m2vf
vf is their common velocity.
Sum of their momentum before collision = m1vf+m2vf ... 2
Equating 1 and 2 according to the law;
m1u1 = m1vf+m2vf
m1u1 = (m1+m2)vf
vf = m1u1/m1+m2
vf s their common velocity after collision. This shows that there is possibility that they have the same velocity after collision.
Use a double angle identity to rewrite the formula r(Θ)=[tex]1/16v^2sin(theta)cos(theta)[/tex]
Answer:
1/32v²sin2θ
Step-by-step explanation:
Given the expression r(theta) = 1/16v²sinθcosθ
According to double angle of trigonometry identity;
Sin2θ = sin(θ+θ)
Sin2θ = sinθcosθ + cosθsinθ
Sin2θ = 2sinθcosθ
sinθcosθ = sin2θ/2 ... **
Substituting equation ** into the question
1/16v²sinθcosθ = 1/16v²(sin2θ/2)
1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)
1/16v²sinθcosθ = 1/32v²sin2θ
Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ
Maxwell Communications paid a dividend of $1.20 last year. Over the next 12 months, the dividend is expected to grow at 13 percent, which is the constant growth rate for the firm (g). The new dividend after 12 months will represent D1. The required rate of return (Ke) is 17 percent. Compute the price of the stock (P0). (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Answer:
The price of the stock is [tex]P_o = \$ 33.9[/tex]
Step-by-step explanation:
From the question we are told that
The dividend is [tex]k = \$ 1.20[/tex]
The expected growth rate is [tex]r = 13\% = 0.13[/tex]
The required rate of return is [tex]K_e = 17 \% = 0.17[/tex]
The new dividend after 12 months is mathematically represented as
[tex]D_1 = k * (1 + r)[/tex]
substituting values
[tex]D_1 = 1.20 * (1 + 0.13)[/tex]
[tex]D_1 = \$ 1.356[/tex]
The price of the stock the price of stock is mathematically represented as
[tex]P_o = \frac{D_1}{ K_e - r }[/tex]
substituting values
[tex]P_o = \frac{ 1.356}{ 0.17 - 0.13 }[/tex]
[tex]P_o = \$ 33.9[/tex]
(MG1) Convert 11,000 feet per second into
kilometers per hour.
A. 12070.08 kilometers per hour
B. 10000.00 kilometers per hour
C. 12000.08 kilometers per hour
D. 13000.08 kilometers per hour
Answer:
The answer is option A.Step-by-step explanation:
To solve the question we use the following conversion
1 feet per second = 1.09728 kilometers per hour
Therefore 11 ,000 feet per second is
[tex]11000 \times 1.09728[/tex]
We have the final answer as
12070.08 kilometers per hourHope this helps you
If there are 43,560 square feet in an acre, and there are 7.5 gallons in a cubic foot, calculate gallons of irrigation water per square foot?
The following information related to irrigation is as follows:
It is the water application that should be artificial via different sprays, pumps systems.It could be found from the groundwater via springs, surface water, etcThe gallons of irrigation water per square foot is [tex]326,700\ gallons\ per\ square\ foot[/tex]
For determining the gallons of irrigation water we have to multiply the square foot by the number of gallons in a cubic foot.
Given that,
There are 43,560 square feet in an acre i.e. 1 acre = 43,560.
And, there are 7.5 gallons in a cubic foot i.e. 1 cubic foot = 7.5 gallons.
So, the gallons of irrigation water per square foot is
[tex]= 43,560 \times 7.5\ gallons \\\\= 326,700\ gallons\ per\ square\ foot[/tex]
Therefore we can conclude that the gallons per square foot of irrigation water is [tex]326,700\ gallons\ per\ square\ foot[/tex]
Learn more about per square foot here: brainly.com/question/5991264
Answer:
326,700 gallons
Step-by-step explanation:
1 acre = 43,560 square feet
1 acre-foot of irrigation is an acre irrigated 1 foot deep with water.
Since thee are approximately 7.5 gallons in 1 cubic foot,
1 acre-foot of irrigation = 43,560 * 7.5 gallons
1 acre-foot = 326,700 gallons
This is the number of gallons in one acre-foot, not gallons per square foot.
Given a dataset with the following properties:
mean = 50
median = 40
standard deviation = 5
What is the shape of the distribution?
Answer:
The distribution is positively skewed.
Step-by-step explanation:
A measure of skewness is defined in such a way that the measure should always be zero when the distribution is symmetric and measure should be a pure number i.e independent of origin and units of measurement.
The shape of the distribution can be found by finding the coefficient of skewness.
The coefficient of skewness can be found by
Sk= 3(Mean-Median)/ Standard Deviation
Sk= 3( 50-40)5= 30/5=6
The shape will be positively skewed.
In a positively skewed distribution the mean > median > mode. It has a long right tail.
Using the skewness formula, it is found that the distribution is right-skewed.
------------------
The skewness of a data-set with mean M, median [tex]M_e[/tex] and standard deviation s is given by:[tex]S = \frac{3(M - M_e)}{s}[/tex]
If |S| < 0.5, the distribution is said to be symmetric.If S <-0.5, the distribution is left-skewed.If S > 0.5, the distribution is right-skewed.------------------
Mean of 50, thus, [tex]M = 50[/tex]Median of 40, thus [tex]M_e = 40[/tex]Standard deviation of 5, thus, [tex]s = 5[/tex]The coefficient is:
[tex]S = \frac{3(M - M_e)}{s} = \frac{3(50 - 40)}{5} = \frac{30}{5} = 6[/tex]
Thus, the distribution is right-skewed.
A similar problem is given at https://brainly.com/question/24415645
What is the probability that a student who has no chores has a curfew ?
Answer:
15/22
Step-by-step explanation:
Of the 66 students who have no chores, 45 have a curfew. So the probability is 45/66 = 15/22.
please help me đáp án của nó là gì help me thanks you very much
Annie has 3/2 pounds of cookie dough. If she needs 1/16 of a pound of cookie dough to make one cookie, how many cookies can she make
Answer:
[tex]\boxed{\sf 24\ cookies}[/tex]
Step-by-step explanation:
1 cookie = 1/16 of a pound of cookie
If we want to find how many cookies can be made by 3/2 pounds ( 1.5 pounds) then we need to divide 3/2 pounds by 1/16
=> [tex]\frac{3}{2} / \frac{1}{16}[/tex]
=> [tex]\frac{3}{2} * 16[/tex]
=> 3*8
=> 24 cookies
Answer:
24 cookies
Step-by-step explanation:
3/2= 1.5 and 1/16= 0.0625
if you divide the amount of dough you have by the amount needed for each cookie you will have 24
1.5/0.0625=24
Please help with this
please help me guys please find the value of 3x°
Answer:
finding the value of x first
2x + 3x + 10 = 180 (linear pair)
5x = 180 - 10
x = 170 / 5
x = 34
3x = 102
A cement mixture costs $33 a ton. It is composed of Grade A cement at $36 a ton and Grade B cement at
$24 a ton. How were these two cements mixed?
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
-3y=3x-9
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
Answer:
y = -3 m = -1 b = 3
Step-by-step explanation:
-3y=3x-9
To isolate the y variable, divide both sides by -3.
y = -1x + 3
y = -3
m = -1
b = 3
A positive correlation between two variables X and Y means: If the value of X is above the mean, the
value of Y will be above the mean as well.
A. This is always true.
B. This is sometimes true.
C. This is never true.
Answer: B. This is sometimes true.
Step-by-step explanation:
A positive correlation between 2 variables means that they generally move in the same direction meaning that as one variable rises, the other rises as well and as the other falls, the other falls as well.
However, the correlation can be strong, weak or anything in-between. This means that just because one variable increases by 12 does not mean the other would as well. It could increase by 1 alone and still have a positive correlation albeit a small one.
Therefore, if the value of one variable is above the mean, it doesn't always follow that the other with a positive correlation will as well as they just might not have that strong a correlation.
8. Write (2x + 1)(x - 3)(x - 2) in standard form.
2x3 - 9x2 + 6
2x3 - 9x2 + 7x + 6
O
2x3 + 7x - 9x2 + 6
O
7x + 2x3 - 9x2 + 6
Answer:
2x^3 - 9x^2 + 7x + 6
Step-by-step explanation:
(2x + 1)(x - 3)(x - 2)=2x^3 - 9x^2 + 7x + 6
which expression is equivalent to(x²y)³?
Answer:
x^6 y^3
Step-by-step explanation:
(x²y)³
We know that (ab) ^c = a^c * b^c
(x²y)³ = x^2 ^3 * y^3
We know that a^b^c = a^(b*c)
(x²y)³ = x^2 ^3 * y^3 = x^( 2*3) y^3 = x^6 y^3
a babay weighs 8 & 1/4 pounds at birth two weeks later she weighs 8 & 7/8 how much weight did the baby gain
Answer:
⅝ pounds
Step-by-step explanation:
Weight at birth = 8¼ pounds
Weight after two weeks = 8⅞ pounds
[tex]Weight \: gain \\ = Weight \: after \: two \: weeks - Weight \: at \: birth \\ = 8 \frac{7}{8} \: pounds - 8 \frac{1}{4} \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{1}{4}) \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{2}{8}) \: pounds \\ = ( \frac{7}{8} \: - \frac{2}{8}) \: pounds \\ = \frac{5}{8} \: pounds[/tex]
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
Part A: Find and interpret the slope of the function. (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)
Part C: Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 5 days? (2 points)
Answer:
see below
Step-by-step explanation:
Part A
The slope is found by
m = ( y2-y1)/(x2-x1)
= ( 1200-1500)/(4-0)
= -300/4
=-75
Part B
point slope y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-1200 = -75(x-4)
slope intercept y = mx+b where m is the slope and b is the y intercept
y = -75x + 1500
standard form Ax+By =C
75x + y = 1500
Part C
Change y to g(x) in the slope intercept form
g(x) = -75x + 1500
Part D
Let x = 5
g(5) = -75(5) + 1500
=-375+1500
=1125
The average of three numbers is 16 if one of the numbers is 18 what is the sum of the other two numbers
Answer:
sum of two numbers is 30
Step-by-step explanation:
let three numbers are x,y,z
average =x+y+z/3
x+y+z/3=16
x+y+z=48......(1)
The sum of two numbers is 18.
according to condition:
let x=18
subtitute x=18 in (1)
18+y+z=48
y+z=48-18
y+z=30
What is the total cost of a $28 pair of jeans if the sales tax is 7.5%?
Answer:
30.10
Step-by-step explanation:
First find the amount of tax
28 * 7.5%
28 * .075
2.10
Add this to the price of the pants
28+2.10 =30.10
A banquet hall offers two types of tables for rent: 6-person rectangular tables at a cost of $28 each and 10-person round tables at a cost of $52 each. Kathleen would like to rent the hall for a wedding banquet and needs tables for 250 people. The hall can have a maximum of 35 tables, and the hall has only 15 rectangular tables available. How many of each type of table should be rented to minimize cost and what is the minimum cost?
Answer:
940
Step-by-step explanation:
so the cheapest table is the rectangular table coming at around $4.6 per person while the 10 person table comes at $5.2 per person.
That being said we can only have 15 rectangular tables so thats a total of 150 people at a total of $420. We still need 100 more people so we would need 10 round tables so 52 * 10 = 520 and plus our previous total 420 + 520 our total comes down to 940.
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Based on this plot, which one of the following statements is not correct? The median room rate is $150 per night. There is one outlier in this data set. The 25th percentile in this data set is $130 per night. The second quartile in the data set is $160 per night.
Answer:
The second quartile in the data set is $130 per night.
Step-by-step explanation:
Quartile is a type of quantile which divides the number of data set into even numbered sub groups. The second quartile is median of data set. This means that 5% of data lies within this point. The middle value between the median and highest value of data set. The second quartile in the data set must be 50% so the statement is not correct.
who was the first EUROPEAN country that came to Ghana
Answer:
the Portuguese
The History of The Republic of Ghana
The earliest Europeans to set foot on the land were the Portuguese in the 15th century (1471). On their arrival, they found so much gold between the rivers Ankobra and the Volta that they named the area “da Mina”, meaning “The Mine”.
Step-by-step explanation:
This was all I could really find :( Hope this helps! <3
I think it was Portugal