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Find the volume of this object.
Answer:
24 will be your answer.
Step-by-step explanation:
Two fair, six-sided dice are rolled. What is the probability that the resulting total is even or greater than 10?
Answer:
Step-by-step explanation:
Since there are a total of 6 x 6 = 36 outcomes, then the probability that the sum will be greater than 10 is 3/36 = 1/12.
The probability that the resulting total is even or greater than 10 is 7/12.
Given that, two fair, six-sided dice are rolled.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here, sample space of two dice is
S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1),(5,2),(5,3),(5,4),(5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Number of favorable outcomes = 18
Total number of outcomes = 36
Probability of getting the total is even = 18/36
= 1/2
Number of favorable outcomes = 3
Probability of getting the total is greater than 10 = 3/36
= 1/12
So, probability is 1/2 + 1/12
= 6/12 + 1/12
= 7/12
Therefore, the probability that the resulting total is even or greater than 10 is 7/12.
To learn more about the probability visit:
https://brainly.com/question/11234923.
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At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently out of alignment and the plant manager is collecting data to assess the situation. The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut. All measurements are in millimeters.
(a) Use the following grid to construct a scatterplot in which dial setting is the explanatory variable and output length is the response variable. Based on your graph, does a linear model seem appropriate? Justify your answer.
(b) Use the data to construct a least-squares regression line to predict output length from dial setting.
(c) Assume that all conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting
(d) The test statistic for the appropriate test is t=9.018. Do the data provide convincing statistical evidence that there is a linear relationship between output length and dial setting?
Check Attached Photos. Sorry, it didn't let me submit it through text because of "inappropriate language," despite me not having any in my answer.
For the plant which manufactures bars of steel, the conclusions are as follows;
A. The scatter graph is shown.
B. The equation is y = 2.204 + 1.007x
C. Null hypotheses (H₀); β = 0
Alternative hypotheses (Hₐ); β ≠ 0
D. P-value (0.0001) is less than the significance level (α = 0.05).
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths.
The machine has a dial that sets the length of the bars to be cut.
The dial is currently out of alignment and the plant manager is collecting data to assess the situation.
The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut.
All measurements are in millimeters.
Dail setting Output length
75 78
77 79
79 82
80 83
81 85
82 83
83 86
85 88
A. The scatter plot is shown below.
Based on the scatter plot, a linear model seems appropriate to the model relationships between the dial setting of the machine and the output length of the steel bar.
The scatter plot shows the strong (r = 0.965), positive, linear association. There do not appear to be any outliners.
B. From the data to construct a least-squares regression line to predict output length from dial setting. Then
y = (a + bx)
Let x be the dial setting machine and y be the output length of steel bars (in mm).
y = 2.204 + 1.007 x
C. All conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting.
Let β be the true slope of the population regression line relating the dial setting of the machine (x) and the output length of the steel bars (y) at the manufacturing plant.
Null hypotheses (H₀) ; β = 0
Alternative hypotheses (Hₐ) ; β ≠ 0
Appropriate test = slope of regression line t-test.
D. The test statistic for the appropriate test is t = 9.018 with 6 degrees of freedom (7 - 1)
The normal curve is shown;
Using calculator command t-CDF, with the alternative hypotheses as β≠0, then P-value = 0.0001.
In probability notation;
P(b≥0.017) = P(t≥9.018) = 0.00005
P-value = (2) × (0.00005) = 0.0001
P-value = 0.0001
Assume α = 0.05
Since our P-value (0.0001) is less than the significance level (α = 0.05), we do not convince statistical evidence that there is a linear relationship between output length and dial setting.
As the dial setting (x) increases, the output length of the steel bar (y) increases as well.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
Write an equation for a line perpendicular to f(x)=5x−1 and passing through the point (5,20)
Answer:
y - 20 = (-1/5)(x - 5)
Step-by-step explanation:
The slope of the given line is 5. The slope of any line perpendicular to the given line is the negative reciprocal of the given slope:
Slope of perpendicular line here is -1/5.
We use the point-slope formula as a framework here:
y - 20 = (-1/5)(x - 5)
Juan ran the lemonade stand for 3 more days after his
first day profit of $12. Each day, he used the money
from sales to purchase more lemons, cups, and sugar
to make more lemonade. The table shows how much
he spent and earned each day
What is the expression needed to find his total
eamings?
52
16-7-22 - 12 - 18-9
16-22-18-7-12-9
16-22-18-7-12-9
16 - 7 + 22-12-18-9
The answer: C/16 + (–7) + 22 + (–12)
ill give u brainiest just tell me if i got any of those wrong!!! no links or i will report. ASAP
Answer:
17 is what percent of 60? = 28.33.
what percent of 238 is 48 = 20.17
what percent of 365 is 40 = 10.96
Step-by-step explanation:
need by midnight pretty simple i just don't know how to explain it.
Answer:
Side x is adjacent to 30° angle.
Correct method is:
cos 30° = x/15 ⇒ x = 15*cos 30° ⇒ x = 12.99Diego is correct and Steven is wrong.
when finding sine consider the opposite side to the angle, not hypotenusewhen finding cosine consider adjacent side to the angle, not hypotenuseASAP, Please help me with this question this is time sensitive.
Erik buys a new combination lock for his locker at the gym. The lock has 3 dials, each with the numbers 0 through 9.
The probability that he sets the combination as 4-3-9 is _____.
Answer: did anyone find the answer???
Step-by-step explanation:
26 beats in 1/6 minutes equals what beats per minute
Answer:
156
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
26 for every 1/6
So we multiply 26 times 6 to get the full minute
Can someone please help me with this question
Answer:
70° angle because it's not an obtuse angle so it wouldn't be C, D, or E and 25° is to small so the answer is B
Answer:
70 degrees
Step-by-step explanation:
90 degrees is a right angle, which is just straight up, and has a. square symbol. So, we can use that to compare the answers. Anything over 90 degrees would have its angle tilt to the left. So, anything over 90, like the ones at 100 degrees are wrong. 20 would be really close to the bottom. So, its 70
A group Students is painting a background piece for the school play what is the area of the part that is painted grey?
Answer:
108 inches
Step-by-step explanation:
6X6X3
i need help with this
Quadrilateral
Kite
Trapezoid
Isosceles Trapezoid
None of these
Rectangle
Square
Parallelogram
Rhombus
those r the options
At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?
Find S↓4of the sum of the geometric series.a1=32,a4=−4,r=1−2
If the function rule is 5x, what is the value when x=4
pls I need help with this math question.
Answer: -4096
Step-by-step explanation:
After graduating from college, Herbert decided to join a new
company. He agreed to a salary which will increase by 4.5% each
year and he will earn $63,417 for his tenth year of work.
Answer:
500
Step-by-step explanation:
Drag the tiles to write a numerical expression for the following calculation.
Divide the difference between 70 and 20 by 25.
what is the slope of 10x-2y=8?
Answer:
Slope: 5
Step-by-step explanation:
Mark as brainllest
Answer:
x= 1 /5 y+ 4 /5
Step-by-step explanation:
Let's solve for x.
10x−2y=8
Step 1: Add 2y to both sides.
10x−2y+2y=8+2y
10x=2y+8
Step 2: Divide both sides by 10.
10x /10 = 2y+8 /10 x= 1 /5 y+ 4 /5
the measure of an angle is 49 degrees what is the measure of its complementary angle
Answer:
The complementary angle is 41 degrees
Step-by-step explanation:
A complementary angle is when two angles add up to 90
90 = 49 + x
90 - 49 = 49 - 49 + x
41 = x
Delta Math Help!!!
Triangle proofs help. I’ve gotten this far, but I have no idea what to do next!!
The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.
BD = AC and AB = CD
In triangles ΔBAD and ΔCDA, we have
BD = AC (Given)
AB = CD (Given)
AD = AD (Common side)
Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.
More about the triangle link is given below.
https://brainly.com/question/25813512
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What is the length of the triangle of “b” and the answers helppp plz? ??
Add 5 and 14, triple the sum, and then add four-
fifths.
Answer:
57.8 or 57 and four fifths
Step-by-step explanation:
5+14=19
19*3=57
57+0.8= 57.8
HELP ME PLEASE I'll give brainless.
Which of the following expressions is represented by the number line below?
A. -6 - 5
B. 6 + (-4)
C. -6 + 4
D. 6 - (-4)
A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).
Answer:
Step-by-step explanation:
A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).
Find the area of the figure below.
Use numbers only in your answer.
The area is
in².
Answer:
Area = 42 in^2
Step-by-step explanation:
here's your solution
=> divide above picture in two parts
=> rectangle and traingle
=> area of rectangle = length* width
=> area of rectangle = (5*6)in.
=> area of rectangle = 30 in^2
=> now, area of traingle = 1/2*base *height
=> area of traingle = 1/2*4*6
=> area of traingle = 12 in^2
=> area of figure = 30 in^2 + 12 in^2
=> Area = 42 in^2
hope it helps
Answer:
42 in.²
Step-by-step explanation:
We need to find the area of the rectangle and then the triangle and then add them up. For the rectangle its 6 x 5 = 30 and for the triangle its 6 x 4 = 24/2 = 12 *we have to divide by 2 because we are finding the area of a triangle*. So we add 30 + 12 = 42 so your answer is 42 in.²
:DDD hope I was able to help
help please i need to get this done today
Answer:
( -2, 12)
(-1, 9)
(0, 6)
(1 , 3)
(2, 0)
Step-by-step explanation:
Input the values into the equation
2x+3=4x(3x-5)
what is the value of x
Answer:
X=11+ √157/12
x= 11-√157/12
Step-by-step explanation:
2x+3=12x^2 -20x
Move all terms to one side.
2x+3−12x2+20x=02x+3−12x ^2+20x=0
Simplify
22x+3−12x^2=0
Use the Quadratic Formula.
a= -12
b= 22
c= 3
Which equations are equal to this equation? Select all that apply. 1/4(8x + 56) = 20 A. 56 + 8x = 80 B. 14 = 20 – 8x C. 2x + 14 = 5 D. 2x = 6
Answer: Hewo, there! your answer is below
B, C, D Are your Answers
Step-by-step explanation:
These Answers Are correct On Edge
Hope this Helps!!!
Have a great day!!!