Answer:
414π
Step-by-step explanation:
Volume of a cylinder = area of circle/ cross-section x height
Area of cross-section = πr² = 6²π = 36π
36π x 11.5 = 414π
Answer:
1300.61936 cm
Step-by-step explanation:
:))
The graph of a linear function
is shown on the grid.
What is the rate of change of y with respect to x for this function?
Record your answer in the space below.
Four friends share 3 sheets of construction paper equally.
In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of ther- mal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Ğ¢ÑÑеп ni xi si
Graded 42 0.486 0.187
No-fines Ñ 42 0.359 0.158
Assume that the conductivity for each sample of concrete is independent of that of all the others. Our interest is in determining if the mean conductivity for the graded concrete is significantly different than the mean conductivity for the no-fines concrete?
Required:
a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Step-by-step explanation:
Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Type ni xi si
Graded 42 0.486 0.187
No-fines 42 0.359 0.158
To find - a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Proof -
a.)
Hypothesis testing problem :
H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
b)
Test statistic :
[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]
[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]
[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]
[tex]Z = \frac{0.127 }{0.0377}[/tex]
⇒Z(cal) = 3.3687
Z(tab) = 1.96
As Z (cal) > Z(tab)
So, we reject H0 at 5% Level of significance
p-value = 0.99962
Hence
There is significant difference in mean conductivity at the two materials.
Can someone help with this question plz
Answer:
A: 2x + 13 = 59
Step-by-step explanation:
1/5 x 10 = 2 and 1/5 x 5 = 1, then you equation looks like this:
12+2x+1=59
Next, you must do 12+1 which gives you 13. Therefore the simplified equation is 2x+13=59
CAN SOMEONE HELP ME and please tell me the right answer this test means a lot to me :(
4. Which set of ordered pairs represents a function?
(1) {(0,4), (2,4),(2,5)}
(2){(6,0), (5,0),(4,0)}
(3) {(4,1),(6,2), (6,3), (5,0)}
(4) {(0,4),(1,4), (0,5),(1,5)}
Answer: (2) {(6,0), (5,0),(4,0)}
It is a function, where each value is associated with exactly one output.
Step-by-step explanation:
A relation is said to be a function if the first components of the ordered pairs are associated with exactly one value of the second components of the ordered pair.
(1) {(0,4), (2,4),(2,5)}
here 2 is associated with 2 different values of second component.
Thus it is not a function.
(2) {(6,0), (5,0),(4,0)}
It is a function, where each value is associated with exactly one output.
(3) {(4,1),(6,2), (6,3), (5,0)}
It is not a function as 6 is associated with 2 different values of second component.
(4) {(0,4),(1,4), (0,5),(1,5)}
It is not a function as 0 and 1 are associated with 2 different values of second component.
An angle measures 78° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
Step-by-step explanation:
Supplementary angles add up to 180°.
If the angle is x, its supplement is 180°-x.
x = (180°-x) - 78°
x = 51°
supplement = 180°-x = 129°
The angles are 51° and 129°
Helpppppppp math pls I need help asap
5 x 100 + 4 x 10 + 6 x 1 + 2 x ( 1/10) + 8 x ( 1/1000) =?
Answer:
68276/125
Step-by-step explanation:
500+40+6+1/5+1/125
546+26/125
68276/125
Answer:
546.208
Step-by-step explanation:
5
⋅
1
0
0
+
4
⋅
1
0
+
6
⋅
1
+
2
(
1
1
0
)
+
8
(
1
1
0
0
0
)
{\color{#c92786}{5}} \cdot {\color{#c92786}{100}}+4 \cdot 10+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})
5⋅100+4⋅10+6⋅1+2x(101)+8x(10001)
5
0
0
+
4
⋅
1
0
+
6
⋅
1
+
2
(
1
1
0
)
+
8
(
1
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05
0
0
+
4
⋅
1
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+
6
⋅
1
+
2
(
1
1
0
)
+
8
(
1
1
0
0
0
)
500+{\color{#c92786}{4}} \cdot {\color{#c92786}{10}}+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})
500+4⋅10+6⋅1+2x(101)+8x(10001)
5
0
0
+
4
0
+
6
⋅
1
+
2
(
1
1
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)
+
8
(
1
1
0
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05
0
0
+
4
0
+
6
⋅
1
+
2
(
1
1
0
)
+
8
(
1
1
0
0
0
)
500+40+{\color{#c92786}{6}} \cdot {\color{#c92786}{1}}+2x(\frac{1}{10})+8x(\frac{1}{1000})
500+40+6⋅1+2x(101)+8x(10001)
5
0
0
+
4
0
+
6
+
2
(
1
1
0
)
+
8
(
1
1
0
0
0
)
0
0
+
4
0
+
6
+
2
⋅
1
1
0
+
8
(
1
1
0
0
0
)
500+40+6+{\color{#c92786}{2}}x \cdot {\color{#c92786}{\frac{1}{10}}}+8x(\frac{1}{1000})
500+40+6+2x⋅101+8x(10001)
5
0
0
+
4
0
+
6
+
1
5
+
8
(
1
1
0
0
0
0
0
+
4
0
+
6
+
1
5
+
8
(
1
1
0
0
0
)
500+40+6+\frac{1}{5}x+8x(\frac{1}{1000})
500+40+6+51x+8x(10001)
5
0
0
+
4
0
+
6
+
1
5
+
8
(
1
1
0
0
0
)
)
0
0
+
4
0
+
6
+
1
5
+
8
(
1
1
0
0
0
)
500+40+6+\frac{1x}{5}+8x(\frac{1}{1000})
500+40+6+51x+8x(10001)
5
0
0
+
4
0
+
6
+
5
+
8
(
1
1
0
0
05
0
0
+
4
0
+
6
+
5
+
8
⋅
1
1
0
0
0
500+40+6+\frac{x}{5}+{\color{#c92786}{8}}x \cdot {\color{#c92786}{\frac{1}{1000}}}
500+40+6+5x+8x⋅10001
5
0
0
+
4
0
+
6
+
5
+
1
1
2
5
5
0
0
+
4
0
+
6
+
5
+
1
1
2
5
500+40+6+\frac{x}{5}+\frac{1}{125}x
500+40+6+5x+1251x
5
0
0
+
4
0
+
6
+
5
+
1
1
2
5
500+40+6+\frac{x}{5}+\frac{1x}{125}
500+40+6+5x+1251x
9
Multiply by 1
5
0
0
+
4
0
+
6
+
5
+
1
1
2
5
500+40+6+\frac{x}{5}+\frac{1x}{125}
500+40+6+5x+1251x
5
0
0
+
4
0
+
6
+
5
+
1
2
55
0
0
+
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0
+
6
+
5
+
1
2
5
{\color{#c92786}{500}}+{\color{#c92786}{40}}+{\color{#c92786}{6}}+\frac{x}{5}+\frac{x}{125}
500+40+6+5x+125x
5
4
6
+
5
+
1
2
5
{\color{#c92786}{546}}+\frac{x}{5}+\frac{x}{125}
546+5x+125x
Show less
Solution
5
4
6
+
5
+
1
2
5
WILL MAKE BRAINLIEST
write the slope intercept form of the equation of each line
Answer:
3. y = -3x + 2
4. y = 3x - 5
Step-by-step explanation:
Slope-intercept form equation is given as y = mx + b.
3. First, using two points on the line, (0, 2) and (1, -1), find the slope (m).
Slope (m) = change in y / change in x = (-1 - 2)/(1 - 0) = -3/1
m = -3
Find the y-intercept (b):
The y-intercept (b) = 2 (this is where the line intercepts the y-axis)
b = 2
✅To write the equation, substitute m = -3 and b = 2 into y = mx + b
Thus:
y = -3x + 2
4. Using two points on the line, (2, 1) and (0, -5), find the slope (m).
Slope (m) = change in y / change in x = (-5 - 1)/(0 - 2) = -6/-2 = 3
m = 3
Find the y-intercept (b):
The y-intercept (b) = -5 (this is where the line intercepts the y-axis)
b = -5
✅To write the equation, substitute m = 3 and b = -5 into y = mx + b
Thus:
y = 3x + (-5)
y = 3x - 5
Which graph represents an exponential function?
What is the circumference in centimeters of the circle? Use 3.14 for 7. Enter your answer in the box
24 cm
cm
Answer:
75.36
Step-by-step explanation:
24 cm x 3.14 = 75.36
HELP PLS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
area = 255 [tex]m^{2}[/tex]
perimeter = 20+6.7+8+8+15+26 = 83.7m
Step-by-step explanation:
top left triangle - base is 3 because (20-8-9). so 1/2 bh = 1/2 (3) (6) = 9
left rectangle = l x w = 20 x 6 = 120
middle square = l x w = 8 x 9 = 72
lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54
9+120+72+54 = 255
What's is the value of the expression 4v+r² when v equals 4 and r equals 3
Answer:
25
Step-by-step explanation:
4(4) + 3^2 ---> plug in 4 for v and 3 for r into the expression
16 + 9 = 25
hope this helps!
"Lily wants to buy a tablet that costs $120. Her dad said that
he would pay 30% of the cost. How much money will her
father contribute towards the tablet?"
Answer:
36$
Step-by-step explanation:
120×0.3 =36$
or
120=100%
1.2=1% /×30
36=30%
$30 will be contributed by her father
For which function and interval can the extreme value theorem be applied?
O f(x) =
Х
(x-6)
over the interval [3, 5)
-5
f(x) =
2(x-7)3
over the interval (6,8)
f(x) = 4 tan(Ttx) over the interval [0, 1]
f(x) = 3e' + 1 over the interval (1,3)
Answer:
A
Step-by-step explanation:
A function assigns the value. The function on which the extreme value theorem can be applied is f(x)=x/(x-6)².
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
In a function for the extreme value theorem to be applicable, the function must be continue between the given interval.
The denominator of the first function will not continue when the value of x= 6, which is not in the interval [3,5). Therefore, the extreme value theorem is applicable.
To verify if the system will continue or not, you can plot the graph of the function, and look between the interval if the function continues or not. As shown below.
Hence, the function on which the extreme value theorem can be applied is f(x)=x/(x-6)².
Learn more about Function:
https://brainly.com/question/5245372
#SPJ2
What is the solution to this equation?
2X + 10=28
Answer:
x = 9
Step-by-step explanation:
2X + 10=28
Subtract 10 from each side
2X + 10-10=28-10
2X = 18
Divide each side by 2
2X/2 = 18/2
x = 9
Answer:
X=9
Step-by-step explanation:
28-10=18
2 x 9= 18
Can someone help me pls
Answer:
16.01
Step-by-step explanation:
sin 88° = 16/x
0.9994x = 16
x = 16.01
can someone show work and explain ??
Answer:
481 cubic inches
Step-by-step explanation:
Volume of the figure = Volume of the triangular prism + rectangular prism
Volume of the triangular prism = Base area * height
Volume of the triangular prism = (1/2*5*3) * 6
Volume of the triangular prism = 15/2 * 6
Volume of the triangular prism = 15 * 3
Volume of the triangular prism = 45in³
Volume of the rectangular prism = 16*7*3
Volume of the rectangular prism = 336in³
Volume of the figure = 45+336
Volume of the figure = 481 cubic inches
Value of x in this? Having trouble with this problem.
Given the graph below, which of the following statements is true?
Answer:
A. the graph represent a one - to - one function because every x-value is paired with only y-value
Step-by-step explanation:
that's it
Identify the coordinates for point A. Type your answer in the form (# #), without spaces.
Answer:
(-4,3)
Step-by-step explanation:
Hope this helps. :)
Hi here is the problem
Answer:
Look at the image.
Step-by-step explanation:
24 ÷ 4 = 6
6 × 9 = 54
24 ÷ 3 = 8
8 × 5 = 40
14 in. = _____ ft
Plzzzzzzzz help
Answer:
1.2
Step-by-step explanation:
12 in= 1 foot
Answer:
1.16 feet
Step-by-step explanation:
12 inches in one foot so there are 14 inches in 1.16 feet.
What is the Probability of flipping a coin and landing on heads (unlikely,likely,Equally likely of certain,or impossible)
Answer:
Equally likely
Step-by-step explanation:
A coin has two sides, heads and tails, so if you flip it, you have a 50% chance to get heads and a 50% chance to get tails. 50% - 50% is an equal ratio, therefore having an equal chance of likelyhood to get heads.
Which of the following is the logical conclusion to the conditional statements
below?
a = b
b=0
А. b=a
B. -as
C.boa
D. a =
Answer:
b
Step-by-step explanation:
Roman used 10% off coupon to buy a toaster that was originally priced at $18.48. Is the final amount cheaper or more expensive than the original price?
Correct answer gets Brainliest! Have an amazing day!! :)
Which of these is a statistical question? I accidentally clicked an clicked an answer, but I want to know which one is the right one.
Step-by-step explanation:
I think A is the answer to your question
A can of tuna has a diameter of 4 Inches and a helght of 3 inches. What is the volume of the can of tuna? (Use 3.14 for
TT.)
37.68 in 3
150.72 in. 3
56.52 in 3
113.04 in. 3
Answer:
37.68 Inches cubed (A)
Step-by-step explanation:
The formula for a cylinder is:
πr^2(h)
First, let's find the radius, which is:
4/2 = 2
Now, we can plug in the values:
3.14(2)^2(3)
Do exponents first:
3.14(4)(3)
Multiply left to right:
12.56(3)
Again:
37.68 Inches
So, the answer is:
37.68 Inches cubed (Or A)
Hope this helps!
URGENT HELP Graph f(x) = 3|x - 5| + 1 (please put picture of the answer graphed)
Answer:
Step-by-step explanation:
I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.