The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.
Answer:
The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Step-by-step explanation:
Data: 14.25, 13.7, 14.02, 14.13, 13.99, 14.0
Mean = [tex]\frac{Sum}{n}=14.015[/tex]
Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836[/tex]
Claim : Average number of fluid ounces in the cup should be 14.
Null hypothesis : [tex]H_0:\mu = 14[/tex]
Alternate hypothesis :[tex]H_a:\mu \neq 14[/tex]
n = 6
[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571[/tex]
t critical > t calculated
So, we failed to reject null hypothesis
So, Option B is true
Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Jean's bedroom is 13 feet by 11 feet. She has chosen a carpet which costs $29.65 per square yard. This includes installation.
Determine her cost to carpet her room.
Answer:
The answer is 4239.95
Step-by-step explanation:
First, you would have to do 13x11.
Which will come out to be 143.
Then do 143 times 29.65 to get your answer.
The answer is 4239.95.
Jean's cost to carpet her room is $470.33.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
First, we have to convert the dimensions of the room from feet to yards:
Length in yards = 13 feet / 3 feet per yard = 4.33 yards
Width in yards = 11 feet / 3 feet per yard = 3.67 yards
The area of the room is:
Area = length x width
Area = 4.33 yards x 3.67 yards
Area = 15.86 square yards
The cost per square yard is $29.65, so the total cost is:
Total cost = area x cost per square yard
Total cost = 15.86 square yards x $29.65/square yard = $470.33
Therefore, Jean's cost to carpet her room is $470.33.
Learn more about the area of the rectangle here:
brainly.com/question/20693059
#SPJ2
2-1= plz help me i need help
Answer:
1 :)
Step-by-step explanation:
Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute
Answer:
.2 inches a min.
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
6 divided by 120 = 0.05
Hope this helps☺️
What does it mean to divide a number by
a fraction (e.g., ¾)?
Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.
Step-by-step explanation:
For example:
Lets say we wanted to divide 8 by 3/4
8÷[tex]\frac{3}{4}[/tex]
Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)
8 ·[tex]\frac{4}{3}[/tex]
Now, just multiply and reduce/simplify the fraction if needed
Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce
Hope that helps!!
lena has bought 10 pounds of dog food. she feed her dog 2/5 pounds for each meal for how many meals will the food last
Answer:
25
Step-by-step explanation:
10÷2/5
=10•5/2
=5•5
=25
Determine the ordered pair that satisfies the equation, -5x - 6y = -8.
Answer:
-2&-4
Step-by-step explanation:
-5x-6y=-8
it is a quadratic equation:
-5x-6y+8=0
(x-2)(x-4)
cross multiple and you'll get
-5x-6y+8=0
which number is the same as 0.000 000 1: 10^7 or 10^-7
Answer:
= 1 × 10^-7
(scientific notation)
= 1e-7
(scientific e notation)
= 100 × 10^-9
(engineering notation)
(billionth; prefix nano- (n))
= 0.0000001
(real number)
Step-by-step explanation:
10^7 = 10000000
Choose the scenario that could be represented by ſ
A. Five bottles of water are shared equally by two teammates.
B. Two people share five oranges equally.
C. Five granola bars are divided equally between two friends.
D. Two yards of fabric are used to make five place mats.
Answer:
D. Two yards of fabric are used to make five place mats.
Step-by-step explanation:
Given
[tex]Scenario = \frac{2}{5}[/tex]
Required
Select the option that describes the scenario
Options A, B and C do not describe the given scenario.
because they all represent
[tex]Ratio = \frac{5}{2}[/tex]
Analyzing D:
We have the following:
Yards = 2
Place Mats = 5
[tex]Ratio = \frac{Yards}{Place\ Mats}[/tex]
[tex]Ratio = \frac{2}{5}[/tex]
Compare this ratio with the given scenario, we have:
[tex]Ratio = Scenario= \frac{2}{5}[/tex]
How many values are in the range 35 to 95?
A) 62
B) 61
C) 60
D) 59
Answer:
61
Step-by-step explanation:
==================================================
Work Shown:
a = smallest integer = 35
b = largest integer = 95
c = number of integers between 'a' and 'b' (including both endpoints)
c = b-a+1
c = 95-35+1
c = 61
The +1 is to count the starting value.
Consider the set {1,2,3,4,5}. If we don't have the +1, then we would have 5-1 = 4, but there are actually 5 items here. So we add 1 to fix this.
which number line and expression show how to find the distance from -4 to 1?
Answer:
the correct answer is C
How many different rays can be formed from five collinear points?
Answer:
eight
Step-by-step explanation:
There are eight different rays that can be formed from five collinear points.
What are the collinear points?Collinear points are defined as points that are along a straight line represented by a collinear. Because a straight line may be drawn continuously between any two points, they are always collinear.
If five points are collinear, it means they lie on a single straight line.
The number of rays is determined by n collinear points
In general, for n collinear points, there are 2(n−1) different rays.
As per the question, substitute the value of n = 5 for the above formula,
⇒ 2(5−1)
⇒ 2 x 4
⇒ 8
Thus, there are eight different rays can be formed from five collinear points.
Learn more about the collinear points here:
brainly.com/question/5191807
#SPJ2
There are 8 dinner rolls in a package.
How many packages will be needed to feed 100 people if each person has 2 dinner rolls? Enter the correct answer to complete the statement.
They will need
packages.
Answer: 25 packages
Step-by-step explanation: 100x2=200 / 200/8=25
Answer:
100x2 = 200 dinner rolls
200 ÷ 8 = 25 packages
If y = –4 when x = 10, find y when x = 5.
Answer:
y=2
Step-by-step explanation:
y/x = k
Given y =4, x = 10 , It can be expressed as the ratio is 4/10. We set the other as y/5. By the definition two ratios are equal. 4/10 = y/5 . Multiply to each side by 5. 4/10*5 = y/5*5 . 20/10 = y
y = 2
Answer: y=2
Step-by-step explanation: If 10=4, then 5 equals 4 divided by 2, which equals 2.
Hopefully this helped! :D
Christina's ice cream parlor sold 60 vanilla cones on the first day of summer. If the goal is to increase the number of vanilla cones sold each day by 4, how many will be sold 20 days later?
1280 cones because you would add 60 +4 and multiply by 20, and would get 1280 cones.
how much is twice the size if im 3 ft 7 in tall
Answer:
the answer is 7.1 inches tall
This need help jxb...
Answer:
That would be y = 2x.
Find the length of MN.
A) 7
B) 25
C) 32
D) 39
Step-by-step explanation:
Answer C)
Explanation:
MN + NP = MP
MP = 39
Therefore, 4(x + 5) + 2x + 1= MP
So, 4(x + 5) + 2x + 1= 39
(4x + 20) + 2x +1 = 39
So, (4x + 2x) + (20 + 1) = 39
6x + 21 = 39
Addition changes to Subtraction
So, 6x = 39 - 21
6x = 18
Multiplication changes to Division
x= 18/6
x=3
Therefore MN = 4(x + 5)
So, 4(3 + 5) = 4(8)
4(8) = 32
Therefore, MN = 32
Hope this helps!
Answer:
32
Step-by-step explanation:
usatestprep answer
Graph the line y=−3x+b if it is known that the graph goes through point:
A(−2, 4)
Increased by 175%, the number of 24 becomes what?
Answer:
66
Step-by-step explanation:
increase the number by 175% of its value.
percentage increase = 175% × 24
new value =
24 + percentage increase =
24 + (175% × 24) =
24 + 175% × 24 =
(1 + 175%) × 24 =
(100% + 175%) × 24 =
275% × 24 =
275 ÷ 100 × 24 =
275 × 24 ÷ 100 =
6,600 ÷ 100 =
66
help please i need helpp
The graph of which of the following equations is parallel to the graph of 9x +y = 2?
Answer:slope~9
Y intercept (0,2)
X. Y
0. 2
2/9 0
Step-by-step explanation:
a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s
Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + [tex]\frac{1}{2}[/tex] gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²
S = 23.7m
5/680 long divison explanation
On October 1, 2018 stokes company paid Eastport Reynolds $4800 for a 12 month lease, deferal
Answer:
phototmathbdbdjsknaisjdbxiehevdixjbwjwosjznaksojxbwjs
Determine whether the following probabilities are best categorized as subjective, empirical, or classical probabilities.
a. Before flipping a fair coin, Sunil assesses that he has a 50% chance of obtaining tails. Subjective probability Empirical probability Classical probability
b. At the beginning of the semester, John believes he has a 90% chance of receiving straight A’s. Subjective probability Empirical probability Classical probability
c. A political reporter announces that there is a 46% chance that the next person to come out of the conference room will be a Republican, since there are 80 Republicans and 93 Democrats in the room. Subjective probability Empirical probability Classical probability
a) Classical. This is because there are 2 sides and 1/2 = 0.50 = 50% is the chance of landing on tails. Classical probability is also known as theoretical probability.
b) Subjective. This is based off John's belief and his gut feeling. There doesn't seem to be any empirical data to back him up, unless he's looking back at previous semesters.
c) Empirical. When you have a finite set of data and you compute the probability based on it like what we're doing here, we're computing empirical probability. Another example would be that if you flipped a coin 30 times and got 17 heads, then the empirical probability of getting heads is 17/30 = 0.5667 approximately. Note how this is slightly different from the theoretical probability 0.50
what are the slopes of the two lines?
Step-by-step explanation:
The slopes of two lines are equal
The graph displays the function g(x) = Equals 2 cosine (x + StartFraction pi Over 2 EndFraction) minus 2.
Which function h(x) results when g(x) is translated StartFraction 7 pi Over 8 EndFraction units right and 1 unit down?
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 3
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 3
On a coordinate plane, a function has a maximum of 0 and minimum of negative 4. It completes one period at 2 pi. It decreases through the y-axis at (0, negative 2).
Answer:
its b on edge 2021
Step-by-step explanation:
The required function h(x) is [tex]h (x) = 2 cos (x + \frac{11\pi }{8} ) - 3[/tex] . Option d is correct.
Function g(x) = [tex]2 cos (x +\frac{\pi }{2} )- 2[/tex]
Equation which includes trigonometric operators eg sin, cos.. etc.. In algebraic processes.
Here, the phase of the curve is increase by 7π/8.
So the phase = π/2 + 7π/8
= 11 π/8
And Shift of curve along y axis is by -1.
So, the total shift = -2-1
= -3
⇒ h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex]
Thus, h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex].
Learn more about trigonometry equations here:
brainly.com/question/22624805
#SPJ2
12x+8y=28 in slope intercept form
Answer:
Step-by-step explanation:
y = − 3 /2 x + 7/ 2
Step-by-step explanation:
The given expression is:
12x + 8y = 28
Problem;
Express in slope-intercept format;
Solution:
The equation of a straight line is given as;
y = mx + c
where y is the y-coordinate
m is the slope
x is the x-coordinate
c is the intercept
To solve this problem simply express the given equation as that of a straight line.
12x + 8y = 28 in the form y = mx + c
12x + 8y = 28
take 12x to the other side;
8y = 28 - 12x
divide by 8 to isolate the y;
[tex]\frac{8y}{8} = \frac{28}{8} - \frac{12x}{8}[/tex]
y = [tex]\frac{7}{2} - \frac{3x}{2}[/tex]
Re-arranging gives;
y = [tex]\frac{-3x}{2} + \frac{7}{2}[/tex]
This is the slope-intercept form.
Is the square root of 14 +6.2 less than 3 pi - 8.2?
Answer:
No. √14 + 6.2 is more than 3π - 8.2
Step-by-step explanation:
√14 + 6.2
√20.2
≈ 4.494
π ≈ 3.14159
3(3.14159) - 8.2
9.42577 - 8.2
1.22477
Therefore, the answer is no.