Answer:
3m
Step-by-step explanation:
3-dimensional space an object occupied
To compare the driving distances for the two models, you arranged an experiment in conjunction with the Par research team. Forty golf balls of each type were subjected to driving-distance tests. You offered the idea of testing the driving distance with a mechanical hitting machine to isolate any mean differences in the distances to the two model golf balls themselves. The results of the tests, with distances measured to the nearest yard, follow.
Let
μ1=population mean driving distance for the current golf ball
μ2=population mean driving distance for the new golf ball
You begin your report to the Par, Inc. management team by offering the following hypothesis pair as a way of representing the problem.
H0 : μ1 - μ2 ≤ 0
H1 : μ1 - μ2 > 0
How would you explain these hypotheses to the management team?
a. We assume that the current model ball has an average driving distance that is greater than the new cut-resistant ball. However, if the new model has a mean driving distance that is greater than or equal to the current model, then we should reject our assumption.
b. We assume that the driving distances for the current model and the new model are equal. If the driving distances between the current and new models are very far apart, then we should reject our assumption.
c. We assume that the current golf ball has an average driving distance that is greater than or equal to that of the new model ball. However, if the new model has a mean driving distance that is significantly longer, then we should reject our assumption.
d. We assume that the new golf ball has an average driving distance that is greater than or equal to that of the current ball. However, if the current model has a mean driving distance that is significantly longer, then we should reject our assumption.
Answer:
d. We assume that the new golf ball has an average driving distance that is greater than or equal to that of the current ball. However, if the current model has a mean driving distance that is significantly longer, then we should reject our assumption.
Step-by-step explanation:
Given that :
μ1=population mean driving distance for the current golf ball
μ2=population mean driving distance for the new golf ball
H0 : μ1 - μ2 ≤ 0
H1 : μ1 - μ2 > 0
The Null hypothesis assumes that the average driving distance of the current golf ball is less than or equal to the average driving distance of the current golf ball
For the Alternative ; If there is significant evidence that the average driving distance of the current golf ball is greater or longer than the average driving distance of the new golf ball ;then we reject our initial claim (the Null hypothesis).
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate . Use z-table.
What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
Step-by-step explanation:
Sol
Given that ,
mean =300
standard deviation =a =70
n=100
ux=128
a ) within 6 =300 +/-6 : 294, 306
P(294' ' 306)
: P(-0.86 : Z ' 0.86)
: P(Z ' 0.86) - P(Z ' -0.86)
Using z table,
: 0.8051-0.1949
: 0.6102
Probability : 0.6102
a ) within 18 =300 18 : 294, 318
P(294' ' 306)
: P(Z ' 2.57) - P(Z ' -2.57)
Using z table,
:0.9949-0.0051
:0.9898
Probability =0.9898
Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.
Answer:
Angle A = 17°, Angle B = 73°
Step-by-step explanation:
Angle A & Angle B are complementary angles (given) so they will form 90°.
Let's take,
Angle A = x
Angle B = 4x +5 (angle B is five degrees more than four times angle A)
Measure of each angle=?
Angle A + Angle B = 90°
x + 4x + 5 = 90
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85 ÷ 5
x = 17°
Angle A = x = 17°
Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°
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Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them
Answer:
110,000 (suv) to be shipped to New York City
Step-by-step explanation:
We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:
Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.
n + b = 180,000
Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):
b = n - 40,000
Now that we have a value for b in terms of n, we can plug this value into b in our first equation:
n + (n - 40,000) = 180,000
From here, we can solve:
n + n - 40,000 = 180,000
2n - 40,000 = 180,000
2n = 220,000
n = 110,000
Thus, we have our final answer.
I would appreciate Brainliest, but no worries.
Evaluate (−2)(−3)(−4)(−1)(−2)
Answer:
-48
Step-by-step explanation:
(-2)(-3)(-4)(-1)(-2)
(6)(-4)(-1)(-2)
(-24)(-1)(-2)
(24)(-2)
(-48)
Need help!!!!!!!!!!!
Answer:
90°
-Sum of angles in a triangle= 180°
-angle C is 90°
-therefore angle A + angle B is,
180° - 90° = 90°
I need to know the area!!!
Answer:
Area of Grass = 6 m²
Area of Cement = 24 m²
Area of Grass and Cement Together = 30 m²
Step-by-step explanation:
Area of Grass = 3m × 2m = 6m²
Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²
Area of Grass and Cement Together = 6m² + 24m² = 30m²
Please help ASAP!!!!!!!
Answer:
10th term is 10
Step-by-step explanation:
The nth term for finding the geometric progression is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
a11 = ar^11-1
a11 = ar^10
Since a11 = -5 and r = -1/2
-5 = a(-1/2)^10
-5 = a(1/1024)
a= 1024 * -5
a = -5120
Nest is to get the 10th terms
a10 = ar^9
a10 = -5120 * (-1/2)^9
a10 = -5120 * -1/512
a10 = 10
Hence the 10th term of the sequence is 10
What value of x is a solution to this equation?
-5x - 10x = -60
Answer:
0.25
Step-by-step explanation:
-5x - 10x = -15x
-15x = -60
x = 0.25
Answer: x=-4
Step-by-step explanation:
please help with this asap thank you
Answer:
Distributive Property
There are 4 types of questions on Mrs. Moore's English final exam. The percent of each type of question is shown in the graph.
Types of Exam Questions
Answer:
10
Step-by-step explanation:
5 + 5
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
C.
Step-by-step explanation:
The median is the line in the middle of the box plot.
C is the answer because 75 is the largest median out of all the choices.
5. A flock of geese flies 50 miles per hour. Write a linear
equation that gives the distance d in miles that the flock
of geese flies in h hours
Answer:
y=50x+0
Step-by-step explanation:
y=mx+b is y-intercept form
I will make x= hours and y= distance (miles)
every 1 you add to x has to represent 50 miles
for the y intercept, it was unspecified so I assumed 0
Hope this helps :)
Answer:
y=50x
Step-by-step explanation:
solve the given inequalitiesa) 2x +3> 15
Answer:
( 3 , 9 )
Step-by-step explanation:
First, add
3
to each segment of the system of inequalities to isolate the
x term while keeping the system balanced:
3 + 3 < 2 x − 3 + 3 < 15 + 3 6 2 x − 0 < 18 6 < 2 x < 18
, divide each segment by 2
to solve for x
while keeping the system balanced:
6 2 < 2 x 2 < 18 2 3 < 2 x 2 < 9 3 < x < 9 Or x > 3 ; x< 9
Brainliest?
The cost of making a phone call is $0.40 plus $0.07 for each additional minute. Write an inequality) to find the number of minutes you can talk for $2.00 or less.
Answer:
Step-by-step explanation
$20 but im not for sure so if im wrong im sorry
pls help me with this asap!!
19.20 you have to do a squared times b squared and the square root them and there's your answer
A pair of shoes cost $25. This is $14 less than the cost of a pair of Jeans. Find the cost of the jeans.
25=j-14
Answer:
j = 11
Step-by-step explanation:
$25 - $14 = 11
Solve -4x+6(x+2)=20
A x=9
B x=4
C x=3
D x= -4
Answer:
Step-by-step explanation:
Hello !
-4x+6(x+2)=20
-4x+6x +12 =20
-4x+6x= 20-12
2x = 8
x= 8/2 = 4 => B
Solve this question for brainlest. This is due at 6 pm
Answer:
2/5
Step-by-step explanation:
multiply length and width then divide the volume by the product of length times width
3/4 x 1/2 then divide 15/16
What is the solution to the equation e^3x - 127 Round your answer to the nearest hundredth.
OX=0.83
OX= 1.09
OX= 2.48
OX= 7.44
Answer:
The solution is [tex]x = 0.83[/tex]
Step-by-step explanation:
We are given the following equation:
[tex]e^{3x} = 12[/tex]
To isolate x, we apply ln, which is the inverse of the exponential. So
[tex]\ln{e^{3x}} = \ln{12}[/tex]
[tex]3x = \ln{12}[/tex]
[tex]x = \frac{\ln{12}}{3}[/tex]
Using a calculator:
[tex]x = 0.83[/tex]
The solution is [tex]x = 0.83[/tex]
Describe the y-intercept and end behavior of the following graph
Answer:
B
Step-by-step explanation:
Which rule describes the function whose graph is
shown?
f(x) ={x+6 x<-4
x^2, -2
6- x, x>4
g(x)={x+6, x<-2
x^2, -2
6-x, x>2
h(x)={x+4, x<-2
x^2, -2
4-x, x>2
b. g(x)...
domain: a. (-infinity, infinity)
range: b. (-infinity, 4}
Option (B) is the correct option.
What is the graphing function?"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation".
For the given situation,
[tex]f(x) ={x+6 x < -4x^2, -2 6- x, x > 4[/tex]
[tex]g(x)={x+6, x < -2x^2, -2 6-x, x > 2[/tex]
[tex]h(x)={x+4, x < -2x^2, -2 4-x, x > 2[/tex]
Plot the graph for the given functions [tex]f(x), g(x), h(x)[/tex].
After plotting all the functions, the function [tex]g(x)[/tex] describes the graph shown.
Hence, option (B) is the correct option.
Learn more about graphing functions here
https://brainly.com/question/24696306
#SPJ2
TELL WHICH NUMBER IS GREATER.
-7, -16
1)16
2)-16
3)-7
4)7
20 POINTS! Determine if the two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ILL REPORT.
Answer: HL
Step-by-step explanation:
The shared side is congruent, meaning the triangles are congruent by HL.
in how man ways can you arrange 12 books in a shelf
A:479,001,160
B:479,000,600
C:479,100,600
D:479,001,600
Sabrina read 45% of the book that her English teacher
assigned. Which of the following correctly shows 45% as a
decimal and as a fraction?
A. 45%=45/100=9/20 B. 45% = 4.5 = 45/10 = 9/2 C. 45% = 45 = 450/100 = 9/2 D. 45% = 0.045 = 45/1,000 = 9/200
Answer:
A. 45%=45/100=9/20
Step-by-step explanation:
45% is 45 out of 100 or 45/100
9 divided by 20 equals 0.45
They are both equal to 45%
Simplify. Please help me! (Exponents.) Picture added.
Answer:
it would be the last one i meant
Step-by-step explanation:
A water hose had filled up 1/9 of a pool after
1/4 of an hour. At this rate, how many hours would it take to fill the pool?
Answer:
x=2.25hrs
Step-by-step explanation:
1/9 =1/4hr
9/9=x
(9/9)/(1/9)=1/4.xhr
1/9=1/4.xhr
cross multiplying
4x=9
x=9/4
x=2.25hrs
A person places $6520 in an investment account earning an annual rate of 2.5%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 3 years
Answer:
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
Step-by-step explanation:
The amount is given by
[tex]V = Pe^{rt}[/tex]
Given P = $6520
r = 2.5%
t = 3 years
Substituting the given values, we get -
[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
15
x
23
find value of x that makes equation true
Answer:
345
Step-by-step explanation: