Answer:
As our computed test statistic falls in critical region, so we reject our null hypothesis. Also p-value=0.0009 is less than significance level, so we reject our null hypothesis and conclude that the average number of simulated drives differs by brand of golf ball at 5% significance level.
Step-by-step explanation:
Excel output print out
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Alpha 5 1268 253.6 609.3
Best 5 1532 306.4 740.3
Century 5 1209 241.8 469.7
Divot 5 1583 316.6 1235.3
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 20960.4 3 6986.8 9.149217573 0.000925804 3.238871517
Within Groups 12218.4 16 763.65
Total 33178.8 19
The six steps of hypothesis are
1. Null hypothesis: The average number of simulated drives are same by brand of golf ball
Alternative hypothesis: The average number of simulated drives differs by brand of golf ball
2. Significance level: α=0.05
3. Test statistic: F-ratio for one way anova
4. Computations
F=9.149
5. Critical region: F>3.239
6. Conclusion:
As our computed test statistic falls in critical region, so we reject our null hypothesis. Also p-value=0.0009 is less than significance level, so we reject our null hypothesis and conclude that the average number of simulated drives differs by brand of golf ball at 5% significance level.
Dave owns Dave's Donut Shop and must make decisions about how much to charge for donuts. As a businessowner he wants to attract a lot of customers as well as make a lot of money (revenue). The amount of revenue Dave makes can be modeled by the equation R = (p-1)(200 - 40p), where p represents the price of one donut and R represents the total revenue. Use as many strategies as you can to figure out the questions below. 0 At what price will Dave break even (make no revenue)? How much should Dave charge to maximize his revenue? What is the most money Dave can make? Dave made $100 from donut sales. How much must he have charged per donut?
Answer:
2430
Step-by-step explanation:
The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:
The break even price is at $1 and $5To maximize his revenue, he as to charge $3The most money he can make is $160He charged $4.225 or $1.775 to make $100.Given that:
[tex]R = (p - 1)(200 - 40p)[/tex]
To calculate the break even, we set R to 0.
So, we have:
[tex](p - 1)(200 - 40p) =0[/tex]
Split
[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]
Solve for p
[tex]p = 1[/tex] or [tex]40p = 200[/tex]
Divide by 40 in the second equation
[tex]p=1[/tex] or [tex]p =5[/tex]
The break even price is at $1 and $5
To maximize his revenue, we have:
[tex]R = (p - 1)(200 - 40p)[/tex]
Open bracket
[tex]R = 200p - 200 - 40p^2 + 40p[/tex]
Rewrite as:
[tex]R = - 40p^2+ 200p + 40p- 200[/tex]
[tex]R = - 40p^2+ 240p- 200[/tex]
Differentiate
[tex]R' = -80p + 240[/tex]
Equate to 0 and solve for p
[tex]-80p + 240=0[/tex]
[tex]-80p =- 240[/tex]
Divide by -80
[tex]p = 3[/tex]
To maximize his revenue, he as to charge $3
The most money he can make is calculated as:
[tex]R = (p - 1)(200 - 40p)[/tex]
Substitute [tex]p = 3[/tex]
[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]
[tex]R = (3 - 1)(200 - 120)[/tex]
[tex]R = 160[/tex]
The most money he can make is $160
The charges he sold when he made $100 is:
[tex]R = - 40p^2+ 240p- 200[/tex]
Substitute 100 for R
[tex]- 40p^2+ 240p- 200=100[/tex]
Collect like terms
[tex]- 40p^2+ 240p- 200-100=0[/tex]
[tex]- 40p^2+ 240p- 300=0[/tex]
Divide through by -20
[tex]2p^2- 12p+ 15=0[/tex]
Using quadratic formula, the solution of p is:
[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]
So, we have:
[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]
[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]
[tex]p = \frac{12 \± 4.90 }{4}[/tex]
Split
[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]
[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]
[tex]p = 4.225\ or\ p = 1.775[/tex]
He charged $4.225 or $1.775 to make $100.
Read more about revenue and price at:
https://brainly.com/question/11859895
Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of
adiacent angles formed a straight line. What can he conclude from this observation? Select one
that applies.
Answer:
The two angles are supplementary
Step-by-step explanation:
Not sure if this is an option, but it would make sense with the question
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
The diagram is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
I need to find the missing angles of this triangle
Answer:
it is 90 degrees
Step-by-step explanation:
All you have to do is add the sides that you know and triangles total is 180 so add 32+58 and u get 90 degrees then u will have to subtract 180 from 90 and it equals 90 which is your missing angle
In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)
Answer:
0.03177
Step-by-step explanation:
Prob (Bld grp) ~ Bin (N, P)
N = 15, P = Prob of success ie 'O' blood type = 0.45
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
a. The probability that exactly three have blood type O is 0.03177
Calculation of the probability:Since
Prob (Bld grp) ~ Bin (N, P)
So
N = 15,
P = Prob of success ie 'O' blood type = 0.45
Now
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
So,
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
hence, The probability that exactly three have blood type O is 0.03177
Learn more about probability here: https://brainly.com/question/21102470
Multiply. Write your answer as a fraction in simplest form.
3
6x
22
Please help and by the way the question is 6 x 3 over 22 (fraction)
Answer:
9/11
Step-by-step explanation:
(6 × 3)/22
18/22 = 9/11
What is 4/5 divided 1/3
find the trig value (with work)
Answer: B (4/5)
Step-by-step explanation:
SOH CAH TOA
T = opposite/hypotenuse
Opposite = 32
Hypotenuse = 40
Simplify 32/40 = 4/5
Line M passes through the points (-5, 9) and (-1, 9) which is true of line M?
A: line M is a vertical line with an undefined slop
B: line M is a vertical line with a slope of zero
C: Line M is a horizontal line with an undefined slope
D: Line M is a horizontal line with a slope of zero
Answer:
D: Line M is a horizontal like with a slope of zero
Step-by-step explanation:
A vertical line would have the same x-value for coordinates but different y-values. It would also have an undefined slope.
Therefore, we can rule out A and B.
A horizontal line always has different x-values but the same y-value. It would also have a slope of zero.
Therefore, C is wrong and D is our answer.
Let's first find the slope of the line.
We can do this using the slope formula.
m = y₂ - y1 / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have 9 - 9 / -1 - (-5).
So we have 0 / 4 which is 0.
So the slope of our line is zero.
We can eliminate any choices that say the slope is undefined.
Now, if we have a slope of zero, the line is flat or horizontal.
So we know line M has to be a horizontal or flat line with a slope of zero.
So our answer is D.
If the absolute value of x is 4, what is the value of x?
A) -16 or 16
B) -4
C) -4 or 4
D) 4
the correct answer is option C) - 4 or 4.
If the absolute value of x is 4,
| x | = 4
it means that x can be either positive or negative, but its distance from zero is 4 units.
This indicates that x can be 4 units to the right of zero or 4 units to the left of zero.
x = ± 4
Therefore, the possible values of x are - 4 and 4.
Thus, the correct answer is option C) - 4 or 4.
Both - 4 and 4 have an absolute value of 4, fulfilling the condition specified in the problem statement.
Learn more about absolute value here
https://brainly.com/question/17360689
#SPJ6
What is 1/2÷3 as a fraction?
Answer: 1/6
Step-by-step explanation:
1/2 divided by 3/1 turns into 1/2 x 1/3 and when multiplying numerators and denominators with each other, you get 1/6.
The company is interested in which confidence intervals associated with 1 (very satisfied) contain the proportion 0.25, or 25%. Determine which confidence levels satisfy this. (Select all that apply.)
Hi, you've asked an incomplete question. However, I provided a brief explanation about confidence interval and confidence level.
Explanation:
The term confidence interval and confidence level are not the same but they are related. Confidence interval refers to a range of values that makes up part of the statistic's mean data which contains an unknown population parameter.
However, the Confidence level is the level of certainty that the confidence interval would contain the true population parameter if a random sample is drawn.
3х3 - 2х2
Simplify if not possible write simplified
Answer:
[tex] \large{3 \times 3 - 2 \times 2}[/tex]
[tex] \large{9 - 4}[/tex]
[tex] \large{5}[/tex]
Help with 50-52 pleaseeeee ASAP
Answer: -2
Step-by-step explanation:
Flip the equation around and subtract 52-50.
The answer will be 2 so put a negative sign in front since the larger number is being subtracted.
(sorry if this explanation sucks i'm not that good at explaining things)
A large hamburger (e.g., Whopper®) sandwich contains 628 kcal and 36 grams of fat. Approximately what percentage of the total energy is contributed by fat?
Answer:
Step-by-step explanation:
Total energy of the sandwich = 628kcal
Mass of fat contained = 36grams
Convert gram to kcal
1gram = 9kcal
36 grams = x
x = 36×9
x = 324kcal
Hence the fat contains 324kcal
%fat contained = fat(in kcal)/total calorie × 100%
%fat contained = 324/628 × 100%
%fat contained = 1/2 × 100%
%fat contained = 50%
Hence approximately 50% of the total energy is contributed by fat.
An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air
9514 1404 393
Answer:
170 mph
Step-by-step explanation:
The speed of the airplane can be represented by s. The travel time will be ...
time = distance/speed
925/(s +15) = 775/(s -15)
925(s -15) = 775(s +15)
150s = 25500 . . . . . . . . . add 13875-775s
s = 170
The rate of the plane in still air is 170 mph.
RELATING CONCEPTS For Individual or Group Work (Exercises 105-108)
A manufacturer has fixed costs of $1000 to produce gizmos. Each gizmo costs $5 to
make. The fixed cost to produce gadgets is $750, and each gadget costs $3 to make.
Work Exercises 105-108 in order.
105. Write an expression for the cost to make x gizmos. (Hint: The cost will be the sum
of the fixed cost and the cost per item times the number of items.)
106. Write an expression for the cost to make y gadgets.
107. Write an expression for the total cost to make x gizmos and y gadgets.
108. Simplify the expression from Exercise 107.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Fixed cost to produce gizmo = $1000
Cost to produce each gizmo = $5
Fixed cost to produce gadget = $750
Cost to produce each gizmo = $3
A.) Expression to make x gizmo:
Fixed cost + 5x
$1000 + 5x
B.)Expression for cost of making y gadget:
Fixed cost + 3y
$750 + 3y
C.) Cost of making x gizmo and y gadget :
($1000 + 5x) + ($750 + 3y)
D.) $1750 + 5x + 3y
2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?
Answer:
33.1 units
Step-by-step explanation:
The formula to find the sides of an shape when given vertices is
= √(x2 - x1)² + (y2 - y1)²
When we have:(x1, y1) and (x2, y2)
(-3, 1), (5, 1), (-3, 4), (5, 4)
For (-3, 1), (5, 1)
= √(5 - (-3))² + (1 -1)²
= √8² + 0²
= √64
= 8 units
For (5, 1), (-3, 4)
= √(-3 - 5)² + (4 - 1)²
= √-8² + 3²
= √64 + 9
= √73 units
For (-3, 4), (5, 4)
= √(5 - (-3))² + (4 - 4)²
= √8² + 0²
= √64
= 8 units
For (-3, 1), (5, 4)
= √(-3 - 5)² + (4- 1)²
= √8² + 3²
= √64 + 9
= √ 73 units
Perimeter of the Polygon:
=( 8 + √73 + 8 + √73) units
= 33.088007491 units
≈ 33.1 units
Factorise fully
14x – 8
Answer:
2(7x-4)
Step-by-step explanation:
Answer:
2(7x-4)
Step-by-step explanation:
Factor out the gratest common divisor of the coefficients of 14x - 8
Jeffrey thinks that the largest place value that 8.21 and 19.5 have in common is the tens place Austin thinks that the largest place value they have in common is the ones place
Answer:
Austin is correct.
Step-by-step explanation:
19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.
Answer:
Neither are correct.
Step-by-step explanation:
8.21:
Tens Place - 0
Ones Place - 8
Tenths Place - 2
Hundredths Place - 1
19.5:
Tens Place - 1
Ones Place - 9
Tenths Place - 5
Hundredths Place - 0
None of the places are in common, so neither Jeffery nor Austin is correct.
Can someone please help me on this
yeahyeahyeahyeahyeahyeahyeah
What is the factored form of the
polynomial? x^2+ 19x + 60
Help
Answer:
(x+15)(x+4)
Step-by-step explanation:
PLS ANSWER I WILL MAKE YOU BRAINLIEST!
Name the points which satisfy the conditions. A negative x-coordinate.
9514 1404 393
Answer:
B, C, G, H, L, M
Step-by-step explanation:
The points with a negative x-coordinate are the points that are to the left of the y-axis. They are ...
B, C, G, H, L, M
need help again!!! please and thank you!
Answer:
C) 4
Step-by-step explanation:
Just follow the same steps as the last one.
32x+2 = 33x-2
2+2=33x-32x
4=1x
X=4
during a sale, 20 cent bars of soap were sold at the rate of 3 for 50 cents. how much is saved on 9 bars?
Answer:
30 is saved
Step-by-step explanation:
20 x 3 = 60 - 50 = 10, you get 10 three times because of 9 / 3 = 3 you get 10 x 3 = 30
Statements about regression
Which of the following are true about regression with one predictor variable (often called "simple regression")?
A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate
B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation
C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y
Answer:
Follows are the solution to this question:
Step-by-step explanation:
It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom. It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity. It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.1. Michael deposited $500 in his bank account that pays 4% semi-annual compounded interest. If he does not touch the money for 5 years, how much money will be in the account?
Answer:
$609.50
Step-by-step explanation:
A = P(1 + r/n)^nt
= 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)
= 500(1.02)¹⁰
= 500(1.218994)
= 609.497
Round answer up to $609.50
A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatshirts does the store have?
Answer:
Answer below
Step-by-step explanation:
It would be 36×2=72
since we're doubl8ng it so there would be 72 hooded sweatshirts
Answer:
24 Hooded Sweatshirts
Step-by-step explanation:
36/3=12
2x12=24 or hooded sweatshirts
1x12=12 or crewneck sweatshirts
12+24=36 total sweatshirts :)
A bakery offers a sale of 3.50 for 6 muffins what’s is the price per dozen
Order the following
rational numbers from least
to greatest
-3/4, 2.5, 0, -0.80, 5/3
Answer:
-0.80, -3/4, 0, 5/3, 2.5
Step-by-step explanation: