Answer:
8/9 yards
Step-by-step explanation:
In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National Golf Association randomly selects five balls of each brand and places each ball into a machine that exerts the force produced by a 250-yard drive. The number of simulated drives needed to crack or chip each ball is recorded. The results are given in the following table.
Alpha Best Century Divot
281 270 218 364
220 334 244 302
274 307 225 325
242 290 273 337
251 331 249 355
Provide the EXCEL printout of ONEWAY ANOVA using either DATA ANALYSIS or PTSTAT2 to determine whether the mean number of stimulated drives differs by brand of golf ball.
Use the ANOVA printout to write-up the six step hypothesis testing procedure for determining whether the average number of simulated drives differs by brand of golf ball. What is the p-value for this problem and what does it mean? Assume alpha =.05.
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.
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\\\\=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=0.183333\\\\\approx 0.1833[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answer:
96Step-by-step explanation:
Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)
= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96
What’s 1 times 5 times 2?
Answer:
10
Step-by-step explanation:
Answer:10
Step-by-step explanation:1×5=5×2=10
HELP WITH MATH!!! 20 points
the questions are solving systems by substitution
Answer: 1. 2x-3y=-1 y=x-1 2. y=6x-11 -2-3y=-7 3. y=3x+5 5x-4y=-3
#1. 2x-3y=-1 and y=x-1
#2. y=6x-11 and -2x-3y=-7
#3. y=-3x+5 and 5x-4y=-3
a b c d or d helpp pleas!
Answer:
The answer is B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The rates of b, c, d make sense in relation to each other. A is the only one dealing with decimal points; whilst the other numbers are dealing with the same x and y values just different sized graphs.
tia read 75 pages of a book containing 200 pages ,lia reads 2/5of the same book who reads less?
Answer:
5 pages less (Tia)
Step-by-step explanation:
2/5 of 200 =2 ×200 :5 =400 :5 =80 pages( Lia)
80-75 =5 pages (Tia red with 5 pages less)
What is wrong with the picture? Show work.
Answer:
The mistake is in the angles
Either both should be 69° or 70°Hope this helps you Stay happy and safe Do mark as brainliest ✌️If lim f(x)=5 g(x)=0 and h(x)=-2 then find (3h/2f+g)(x)
Answer:
B
Step-by-step explanation:
edg 2021 unit test review
Paula walked 4.5 miles. How many kilometers did Paula walk? I mile = 1.61 kilometers
Answer:
2.79 kilometers
Step-by-step explanation:
4.5/1.61
What is the sum of the expression (8- 4 i) + (-2+7i)?
Answer:
The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Step-by-step explanation:
In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is
(a + bi) + (c + di) = (a + c) + (b + d)i
Let us use this fact to solve our question
∵ The complex numbers are (8 - 4i) and (-2 + 7i)
∴ Their sum = (8 - 4i) + (-2 + 7i)
∵ The real parts are 8 and -2
∵ 8 + -2 = 8 - 2 = 6
∴ The sum of the real parts is 6
∵ The imaginary parts are -4i and 7i
∵ -4i + 7i = 3i
∴ The sum of the the imaginary parts is 3i
∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i
∴ (8 - 4i) + (-2 + 7i) = 6 + 3i
∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
The length of a table is 110 cm to the nearest cm
Write down the error interval using inequalities.
10 points for right answer
Answer: they didn’t give the exact answer.
Step-by-step explanation: they rounded to the nearest.
is 60 : 45 and 4 : 3 equlvalent ratios?
Answer:
Yes
Step-by-step explanation:
If you divide 60 and 45 by 15 you get 4 and 3.
Answer:
yes they are infact equivalent
123.456 RONDED TO THE NEAREST HUNDREDTH.
123.456 RONDED TO THE NEAREST HUNDREDTH.
Answer:
123.46
Answer:
123.46 is probably the answer
30 points!! If line segment AB is dilated with a scale factor 1.5, what is the length
of the new line segment A'B'?
A) 5 cm
B) 7.5 cm
C) 12.5 cm
D) 15 cm
Answer:
B
Step-by-step explanation: You divide 30 by 1.5 and then divide 15 by t for segment A and then B
The length of the new line segment A'B' will be D) 15 cm.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given a line segment AB is dilated with a scale factor of 1.5.
Assuming the line segment has a length of 10 units.
∴ Dilating by a scale factor of 1.5 the length of the dilated line segment A'B'
it will be 1.5(10) = 15 units.
learn more about transformation here :
https://brainly.com/question/11709244
#SPJ2
What is the equation of the polynomial graphed below? NEED HELP ASAP! Will give Brainliest!
Answer: The answer I believe is 4
Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?
Answer:
x₁ = 60 pantalón de buzo
x₂ = 0 casaca
z(max) = 540 unidades de monedas
Step-by-step explanation:
El problema se resolverá usando un software de solución de problemas de optimización (integer linear programming solver)
z = 9*x₁ + 12*x₂ a maximizar
Sujeto a:
1) Primera restricción disponibilidad de algodón 500 m de tela
1*x₁ + 2*x₂ ≤ 500
2)Segunda restricción disponibilidad de poliester 520 m de tela
2*x₁ + 1*x₂ ≤ 520
3) Tercera restricción tiempo disponible 8 h/d * 5 d/s = 40 h/s
40 * 60 = 240 minutos disponibles, entonces
4*x₁ + 10*x₂ ≤ 240
4)Restricciones generales x₁ ≥ 0 ; x₂ ≥ 0 ambas solo deben tomar valores enteros
Con el uso del calculador en línea se obtiene:
x₁ = 60
x₂ = 0
z(max) = 540
convert 0.00633 to a scientific notation
Answer:
6.33 × 10⁻³
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.
Answer:
6.33 × 10[tex]^{-3}[/tex]
Step-by-step explanation:
** The negative three is supposed to be an exponent **
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answer:
96
Step-by-step explanation
4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) = 12(8) = 96
7(5 - 2)(5 - 5) = 0
- 6(5 - 3)(5 - 5)= 0
96+0-0 = 96
please i need some help due in some mins
You measure the mass of a book and it’s 420.0890g how many significant digits are in the measurement
9514 1404 393
Answer:
7
Step-by-step explanation:
All of the digits in the given number are significant. There are 7 significant digits.
__
Comment on other cases
When there are non-zero digits to the left of the decimal point in a number with a decimal point, all of the digits are significant.
When there are no non-zero digits to the left of the decimal point, leading zeros are not significant. All digits following the leading zeros are significant.
In a number with no decimal point, the leading and trailing zeros are not significant.
If the number is written in scientific notation, all digits of the mantissa are significant. (This can be a way to ensure the correct number of significant digits is known in a number with trailing zeros.)
You decide to purchase a bond for $500. It pays 5% simple interest per year and matures in 5 years. How much interest will you earn once the bond matures? Round your answer to the nearest dollar.
Do NOT round until you have calculated your final answer.
Answer:
$625
Step-by-step explanation:
You start with $500
The interest per year is 5% or 500 x 0.05 = $25
If it matures 5 years and each year has an increase of $25 then
Year 1 - $525
Year 2 - $550
Year 3 - $575
Year 4 - $600
Year 5 - $625
Answer:
Step-by-step explanation:
We express the interest rate r in decimal form, so we have r=5%=5100=0.05. The principal is P=500 and the time in years is t=5. So, the interest is I=Prt=(500)(0.05)(5)=$125. The interest earned is $125.
Suppose A is a 5x7 matrix. How many pivot columns must A have if its columns span R^5? Why?
a. The matrix must have nothing pivot columns. If A had fewer pivot columns, then the equation A would have only the trivial solution.
b. The matrix must have nothing pivot columns. The statements "A has a pivot position in every row" and "the columns of A span " are logically equivalent.
c. The matrix must have nothing pivot columns. Otherwise, the equation A would have a free variable, in which case the columns of A would not span .
d. The columns of a 57 matrix cannot span because having more columns than rows makes the columns of the matrix dependent
Answer:
The answer is "Option B".
Step-by-step explanation:
In the given choices there is some mistake so, the correct choice can be defined in the attached file. please find it.
In the given question, If the column of [tex]5 \times 7[/tex] matrix, and the A span is equal to [tex]R^5[/tex], and then the value of A has a pivot in each row, that's why in each pivot its position in the different columns of A has the five pivot columns, that's why the choice B is correct.
PLZZZZ HELPPPP I WILL MAKE YOU BRAINLIEST ANSWER PLZZZZZ THANKYOUUU!!!!!!!
find the value of x
Answer:
141°
Step-by-step explanation:
The angle given is 39°;
Since this problem deals with angles in a transversal, it is easy to solve.
Now;
Angle given is a corresponding angle to the angle a;
Corresponding angles are equal; so angle a = 39°
Also,
angle a is corresponding to angle b;
angle b = 39°
So, angle b and x are on a straight line;
b + x = 180
x = 180 - 39 = 141°
Your cell phone plan is $40 per month plus $0.10 per minute for each minute over 300 minutes of call time. Your cell phone bill came to $110.00. How many mintes did you go over your alloted timed?
Which expression is equivalent to 4(6 + 8)? (1 point)
a.
10 + 12
b.
10 + 8
c.
24 + 32
d.
24 + 8
Answer:
c
Step-by-step explanation:
distrubte 4 to 6 and 8
4x6=24
4x8=32
24+32
O SYSTEMS OF EQUATIONS AND MATRICES
Solving a word problem using a 3x3 system of linear equations....
Over the last 3 evenings, Latoya received a total of 96 phone calls at the call center. The second evening, she received 2 times as many calls as the third
evening. The third evening, she received 8 fewer calls than the first evening. How many phone calls did she receive each evening?
Answer:
Find the midpoint of the line segment joining the points R(,) and S(,).
Step-by-step explanation:
HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
This polynomial is in descending order for the variable x.
Answer:
False. It's not in the descending order for variable x.
Step-by-step explanation:
Given polynomial is,
-15x⁵y + 13x²y⁴ - x⁸
'x' is a variable in the given polynomial.
Order or degree of term x⁸ = 8
Order of term -15x⁵y = 5
Order of term 13x²y⁴ = 2
Descending order for the variable x will be,
8 > 5 > 2
So the descending order for the variable 'x' will be,
-x⁸ - 15x⁴y + 13x²y⁴
Therefore, Option (1) False is the correct option.