Answer:
[tex]618.75 cm^{3}[/tex]
Step-by-step explanation:
[tex]\frac{(11 cm)(7.5 cm)(15 cm)}{2} =618.75 cm^{3}[/tex]
Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given. find p(x y>2)
Answer:
[tex]P(Y = 3 | X = 2) = 0.2857[/tex]
Step-by-step explanation:
Given
The question has missing details, and it is poorly formatted.
See attachment for complete question
From the attachment, we have:
Calculate: [tex]P(Y = 3 | X = 2)[/tex]
This is calculated as:
[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]
From the attached image, we have:
[tex]P(X = 2 | Y = 3) = 0.10[/tex] i.e. column x = 2 and row y = 3
[tex]P(X = 2) = 0.05 + 0.10 + 0.20[/tex] --- i.e. we add all columns of x = 2
This gives:
[tex]P(X = 2) = 0.35[/tex]
So, we have:
[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]
[tex]P(Y = 3 | X = 2) = \frac{0.10}{0.35}[/tex]
[tex]P(Y = 3 | X = 2) = 0.2857[/tex]
Find the 51th term of the arithmetic sequence 29 9 -11
Answer:
-971
Step-by-step explanation:
I plugged the numbers into a arithmetic sequence calculator
What is a number c decreased by 15?
Answer:
The Answer is Literally C - 15.
decreased by means subtract 15
and a number means the Variable: C
so C-15
Step-by-step explanation:
IM GIVING 20 POINTS PLEASE HELP AAA
Sarah wants to find out how many apps she can download on her phone. She know that 5 apps cost $20. Create 3 ratio tables using: addition, multiplication and rate reasoning to show how many apps Sarah could download. Include 3-5 entries per table. Be prepared to explain how you arrived at your ratios.
Answer:
the ration of 3:5. 5 x 4 gives you 20 so, 3x4 gives you 12.
PLEASE HELP !!! ONLY AN HOUR LEFT
Answer: arc ef is 68
Step-by-step explanation:
Since EF and FG are the same length (given)
and DE and DG are the same length (both are radius of the circle)
and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68
The measure of an arc is the same as the measure of the angle across from it
What is 6% of 7500 + 5% of 7500
Answer: It should be 825
Step-by-step explanation:
I NEED THIS DONE NOW I'VE BEEN ON IT ALL DAY
Q5 is 115. Hope this helps! :) ✨
I can't see the numbers on Q6 sorry :((
Can someone please give me the answer for brilliant What is the volume of the right rectangular prism?
Answer:
[tex] 148 \frac{3}{4} \: {in}^{3} [/tex]
Step-by-step explanation:
volume of the right rectangular prism
[tex] = lwh \\ \\ = 10 \times 4 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = 10 \times \frac{17}{4} \times \frac{7}{2} \\ \\ = \frac{595}{4} \\ \\ = 148 \frac{3}{4} \: {in}^{3} [/tex]
Answer: The volume is 148 3/4 in3.
Step-by-step explanation:
V= l*w*h
V= 10* 4 1/4* 3 1/2
V= 148 3/4
Permudahkan ungk
8a + 3b - 2a - b
Answer:
answer:8a + 3b - 2a - b
=8a-2a+3b-b
=6a+2b or 2(3a+b) is your answer
which statements are true about angle b in this triangle?
Answer:
b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
e) [tex]\tan(B) = 1[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
The true statement about B
The given options show that we determine the correct trigonometry ratio of B.
So, we have:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
This gives:
[tex]\cos(B) = \frac{a}{c}[/tex]
Where:
[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]
Also:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(B) = \frac{b}{c}[/tex]
Where:
[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
Lastly:
[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]
This gives:
[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]
[tex]\tan(B) = 1[/tex]
Hence, (b) and (e) are true
For which of the inequalities below is v = 4 a solution?
v plus greater 8
v plus 5 greater or equal than 9
v plus 5 greater than 9
v plus 5 less or equal than 8
Answer:
Option 2, v plus 5 greater or equal than 9
Step-by-step explanation:
For inequality represented by option 2 i.e v plus 5 greater or equal than 9
v+5 >= 9
If we put v =4 in above inequality, we get
4+5>= 9
9>= 9
Hence, option 2 is correct
Answer:
Option 2
Step-by-step explanation:
Did I do this right? if I didn't get it right can you help me? Thank you!
Answer:
the only thing is that your dot should be an open circle because 11 is not included in the answer. If it was less than or equal too, you have a closed dot, but since its just less than its an open dot. I like to think of it like if its closed dot its included, and if its an open dot it falls through the hole and is not included. I don't know if that makes sense, but you've got it otherwise.
Line t is tangent to the circle . Find AB (click photo)
Answer:
mAB=130°
Step-by-step explanation:
The tangent-chord theorem tells us that the angle the tangent makes with the curve (65°) is half the measure of the arc (mAB):
mAB=2(65)=130°
The value of measure of arc AB is,
⇒ m AB = 130°
What is mean by Angle?
An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Line t is tangent to the circle.
Now, We know that;
The tangent-chord theorem tells us that the angle the tangent makes with the curve is half the measure of the arc.
Hence, We can formulate;
⇒ m AB = 2 × 65°
= 130°
Thus, The value of measure of arc AB is,
⇒ m AB = 130°
Learn more about the angle visit:;
https://brainly.com/question/25716982
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) Which value is the solution of the equation 54 = 6n?
54 = 6n divide 6 on both sides, 6's will cancel on the right.
__ __ solve for 54 ÷ 6 = 9
6 6
n = 9, choice 4 -- final answer
hope this helps :)
The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given equation,
54 = 6n
Divide by 6 into both sides,
n = 9
Hence "The solution of the given equation 54 = 6n will be 9".
For more about the equation,
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name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
Help me please I need the help
Answer:
p - 3
Step-by-step explanation:
Key expression: 3 fewer than
Fewer than = subtract from
subtract 3 from a number, p
This means that the expression would be p - 3
Because you are subtracting 3 from a number ( p )
What is the greatest common factor of 8, 44, and 12? explanation pls on how you got the answer
The greatest common factor( GCF) is = 4.
The greatest common factor(GCF) is the highest number that can divide 8, 44 and 12 without a reminder.
To find the GCF, first list the common factors of each figure given.
Common factors of 8 = 1, 2, 4, 8Common factors of 44 = 1, 2, 4, 11, 22, 44Common factors of 12 = 1, 2, 3, 4, 6, 12There are 3 common factors of 8, 44 and 12, that are 1, 2, and 4. Therefore, the greatest common factor of 8, 44 and 12 is 4.
Learn more here:
https://brainly.com/question/219464
A plane flies against the wind 288 miles from Los Angeles to San Jose and then returns home with the same wind. The wind speed is 60 mph. If the total flying time was 2 hours, what is the speed of the plane?
Answer:
The speed of the airplane is 300 miles per hour.
Step-by-step explanation:
Let consider that plane travels at constant speed, which is the sum of the velocity of the plane in still air (velocity of the plane relative to wind) and the velocity of the wind. Hence, the total time spent by the plane is described by following kinematic formula:
[tex]t = s\cdot \left(\frac{1}{v_{P}-v_{W}}+\frac{1}{v_{P}+v_{W}} \right)[/tex] (1)
Where:
[tex]t[/tex] - Total time, in hours.
[tex]s[/tex] - Distance between Los Angeles and San Jose, in miles.
[tex]v_{P}[/tex] - Velocity of the plane in still air, in miles per hour.
[tex]v_{W}[/tex] - Velocity of the wind, in miles per hour.
Then, we proceed to simplify the formula and clear the speed of the plane in still air:
[tex]\frac{t}{s} = \frac{2\cdot v_{P}}{v_{P}^{2}-v_{W}^{2}}[/tex]
[tex]\left(\frac{t}{s}\right)\cdot (v_{P}^{2}-v_{W}^{2}) = 2\cdot v_{P}[/tex]
[tex]\left(\frac{t}{s} \right)\cdot v_{P}^{2} - 2\cdot v_{P}- \left(\frac{t}{s} \right)\cdot v_{W}^{2} = 0[/tex]
Which is a Second Order Polynomial, whose roots can be found analytically by Quadratic Formula. If we know that [tex]t = 2\,h[/tex], [tex]s = 288\,mi[/tex] and [tex]v_{W} = 60\,\frac{mi}{h}[/tex], then we have the following polynomial:
[tex]\frac{1}{144}\cdot v_{P}^{2}-2\cdot v_{P} -25 = 0[/tex]
The two roots associated with this polynomial are, respectively:
[tex]v_{P,1} = 300\,\frac{mi}{h}[/tex], [tex]v_{P,2} = -12\,\frac{mi}{h}[/tex]
Since speed is the magnitude of velocity, then solution must be positive. First root satisfies all these conditions.
In a nutshell, the speed of the airplane is 300 miles per hour.
Image attached. Thank you
Answer:
y=-x+1
Step-by-step explanation:
Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.
The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1
The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):
m=(2-1)/(-1-0)=-1/1
m= -1
Knowing these values, we can write y=mx+c for our equation: y=-x+1
what is the function value of f(5) if f(x)=3x-2
Answer:
13
Step-by-step explanation:
If you plug in 5 for x you get...
f(5)= 3(5) - 2
f(5)= 15 - 2
Therefore, f(5) = 13
Answer:
f(5)=13 <- really the right answer this time haha
Step-by-step explanation:
f(5)=3(5)-2
=15-2
=13
Marie bicycled 15 miles at 5 miles per
hour. How long did Marie bicycle?
Answer:
3 hours
Step-by-step explanation:
15÷5=3 so that's ot
Find the area of the composite figure.
Answer:
B. [tex] 200.5 \: {m}^{2} [/tex]
Step-by-step explanation:
Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m
[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]
Help please & thank you , need it asap
Answer:
x = 180 - 30 - 41 - 67 = 42°
I dont know i need help please
Answer:
C
Step-by-step explanation:
Please help, test due in 1 hour! I will give brainliest! :)
Answer:
Rectangle + half circle ?
Step-by-step explanation:
Answer:
A rectangular prism and half of a cylinder.
Step-by-step explanation:
The rectangular prism is for the bottom part, and if you cut a cylinder vertically down it's diameter, you would get the top shape. Put em both together and BAM you got a chest. Periodt.
Can someone help me pls
Can someone please help me out with this? I can’t figure out exactly what they are saying.
Answer:
Its English :))))))
Answer:
i would go fro the first one
Step-by-step explanation:
its asking whitch maple have the more absolute deviations
-10/3 rational or irrational number
Answer:
-10/3 is a rational number
Step-by-step explanation:
Rational numbers are the ratios of two integers.
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale
Answer:
150 ft²
Step-by-step explanation:
Area of trapezoid = ½(a + b)h
Where,
a = 24 ft
b = 24 + 12 = 36 ft
h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)
Plug in the values
Area of trapezoid = ½(24 + 36)*5
= ½(60)*5
Area of trapezoid = 150 ft²
Can someone help me find the area
Answer:
Area of the composite figure = 84 in²
Step-by-step explanation:
Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH
Area of rectangle DEFG = DE × EF
= 5 × 10
= 50 in²
From ΔBHA,
AB = ED = 5 in [Given]
AH = FA - (GH + FG)
= 15 - (7 + 5)
= 15 - 12
= 3 in.
By applying Pythagoras theorem in ΔABH,
AB² = HB² + AH²
5² = HB² + 3²
25 - 9 = HB²
HB = √16
HB = 4 in
Area of rectangle BCGH = BC × HB
= 7 × 4
= 28 square in.
Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
= [tex]\frac{1}{2}(BH)(AH)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 in²
Therefore, area of the composite figure = 50 + 28 + 6
= 84 in²