Answer:
The probability that 2 or more of the original 5,100 components may fail during the useful life of the product is:
= 0.001
Step-by-step explanation:
Probability of operating without failure = 0.999
The probability of failed component = 0.001 (1 - 0.999)
The number of components of the electronic office product = 5,100
The number of components that may fail, given the above successful operation = 5.1 (0.001 * 5,100).
Therefore, the probability that 2 or more of the original 5,100 components may fail during the useful life of the product = 0.001
Probability of component failure is the likelihood that a component fails during the useful life of the product. It is expressed as the number of likely failed components divided by the total number of components. This result can be left in decimal form or expressed as a percentage.
Following are the solution to the given expression:
[tex]\to \text{p = p (failure)} = 1 -0.999 = 0.001 \\\\[/tex]
We employ the binomial approximation of the normal distribution with mean.
[tex]\to \mu = np = 5100(0.001) = 5.1 \\\\ \to \text{standard deviation} \ (\sigma) = \sqrt{np(1-P)}[/tex]
[tex]= \sqrt{5100(0.001)(1-0.001)} \\\\ = \sqrt{5.1 \times (0.999)} \\\\= \sqrt{5.0949 } \\\\= 2.2572[/tex]
It require [tex]p(x\geq 2)[/tex] but we find [tex]p(x \geq 1.5)[/tex], because of [tex]0.5[/tex] correction.
Here
[tex]\to z = \frac{X-\mu}{\sigma }[/tex]
[tex]=\frac{1.5-5.1}{2.2572} \\\\ =\frac{-3.6}{2.2572} \\\\ = -1.59 \\\\[/tex]
Calculating the required probability:
[tex]\to p(z \geq -1.59)[/tex]
[tex]=1+ p(z< 1.59) \\\\= 1+ 0.9440826[/tex] , by standard normal table
[tex]= 1.9440826 \approx 1.944[/tex]
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Use substitution to solve the system of equations
Answer: 3.75, 5.5
Step-by-step explanation:
graph the equations f(x)=-1/9x-3
g(x)=5/9x-9
Answer:
Graph of equations provided in the attached image.
Step-by-step explanation:
I need help ASAP what’s the answer
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer is C, from the equation y=mx+c
Given that f(x) = x² +8x+3 and g(x) = -x-7, which of the following is true?
Select all that apply.
D. f(x)•g(x)= -x3 - 15x² +
+53x + 21
B. In the composition gof, the output f(x) is used as the input for g.
f
C. The domain of - is the set of all real numbers.
g
A. f+9= x² +7x-4
E. f(g(x)) = x² + 6x-4
Answer:
a,c,e
Step-by-step explanation:
yes
Sheila was born in New York. She moved to
California and lived there twice as long as
she lived in New York. Then she moved to
Montana, where she has lived for 8 years.
She is now 62 years old. How long did she
live in New York?
Helpppp me please I forgot how to do this
Answer:
-11
Step-by-step explanation:
plz mark as brainliest.
Answer:
-11
Step-by-step explanation:
the absolute value of 33 is 33, and the absolute value of 3 is 3, but the negative sign is outside of the absolute value bars, so the answer is negative. the simpler equation shouldlook like this
33÷-3=___
and 33÷-3= -11
Compare the two video's about Early Man
Answer:
i love that video
Step-by-step explanation:
it was so interesting
i love it
For what value of q is the equation –13(q + 4) = 7q+ 16 true?
Answer:
q = [tex]-\frac{17}{5}[/tex] or -3.4
Step-by-step explanation:
for g(x)=3x+1, determine g(3-2x)
Answer:
g(3−2x)=12x2−36x+29
Step-by-step explanation:
Do you need step by step?
Which two expressions are equivalent to 20 + 48 ?
Answer:
A and D
Step-by-step explanation:
A.
2(10)=20
2(24)=48
20+48
D.
4(5)=20
4(12)=48
20+48
i hope this helps!
F=ma. Solve the equation for a
Answer:
F/m=a
Step-by-step explanation:
Which of the following pairs of triangles can be proven congruent through SAS?
Answer: A
Step-by-step explanation: both triangle have a congruent side, angle, and second side
Write the equations of these circles.
a) Centre origin, radius 3/2
b) Centre origin, radius 0.5
c) Centre origin, radius root 3
The equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).
It is given that:
The center of the circle is (0, 0) or the origin.
The radius of the circles is given.
As we know, the standard equation for the circle is:
(x - h)² + (y - k)² = r²
Here (h, k) is the center and r is the radius of the circle.
a) Centre origin, radius 3/2
Plug h = 0, k = 0, and r = 3/2
x² + y² = (3/2)²
x² + y² = 9/4
Similarly,
b) Centre origin, radius 0.5
x² + y² = 0.25
c) Centre origin, radius √3
x² + y² = 3
Thus, the equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.
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3,576 divided by 38
Answer:
3576 ÷by 38= 94
Step-by-step explanation:
I think this ans may help you
Answer:
The answer is 94.1052631579
Step-by-step explanation:
PLEASE HELP IM BEGGING
This is due and I have no idea what the answer is also I need the work shown
Answer:
Options (A), (C) and (E)
Step-by-step explanation:
System of inequalities has ben given as,
y ≥ 0.75x
y ≤ 2x - 7
By satisfying with the points given in the options,
Option A. (8, 8)
y ≥ 0.75x
8 ≥ 0.75(8)
8 ≥ 6
True
y ≤ 2x - 7
8 ≤ 2(8) - 7
8 ≤ 9
True.
Therefore, (8, 8) is the solution of the given system.
Option (B) (2, 2)
y ≥ 0.75x
2 ≥ 0.75(2)
2 ≥ 1.5
True
y ≤ 2x - 7
2 ≤ 2(2) - 7
2 ≤ -3
False
Therefore, Option B is not the solution.
Option C (9, 7)
y ≥ 0.75x
7 ≥ 0.75(9)
7 ≥ 6.75
True
y ≤ 2(x) - 7
7 ≤ 2(9) - 7
7 ≤ 11
True
Therefore, Option B is the solution of the system of inequalities given.
Option D (4, 6)
y ≥ 0.75x
6 ≥ 0.75(4)
6 ≥ 3
True
y ≤ 2x - 7
6 ≤ 2(4) - 7
6 ≤ 1
False
Therefore, Option (D) is not the solution.
Option E (10, 9)
y ≥ 0.75x
9 ≥ 0.75(10)
9 ≥ 7.5
True.
y ≤ 2x - 7
9 ≤ 2(10) - 7
9 ≤ 13
True
Therefore, Option E is the solution of the given system of inequalities.
Options (A), (C) and (E) are the correct options.
Three small shipping boxes and one large shipping box hold 64 pounds. A large shipping box minus a small shipping
box holds 32 pounds. When writing a system of equations to determine how many pounds each small box (x) and each
large box (y) holds, which statements are true?
A)
y + 3x = 64
y - x = 32
B)
y - 3x = 64
y + x = 32
3y - x = 64
y - x = 32
D)
(8. 40) is the solution to the system.
E)
(12, 10) is the solution to the system.
Answer:
y + 3x = 64
y - 3x = 32
(8,40) is the solution to the system
(Basically A & D)
Step-by-step explanation:
1 large + 3 small = 64 y+3x=64
1 large - 1 small = 32 y-x=32
(12,10) cannot be a solution because the small box (x) holds more than the large box (y).
Substitute (8,40): 40 + 3(8) = 64 and 40 - 8 =32
Work out surface area 4cm,7cm. Write your answer to 3 significant figures
The Groves basketball team did not record how many baskets were made by each player during the last game. Daniel remembers that he made three times as many baskets as Ben. Max knows that he made six more baskets than Ben. Mitchell is sure that he made fewer baskets than Ben. Christion is sure that he made the same number of baskets as Mitchell. Altogether the five players made 40 baskets. How many baskets did each player make?
Answers:
Ben = 6Max = 12Mitchell = 2Christion = 2Daniel = 18Each count above refers to the number of baskets made for the given player.
====================================================
Explanation:
For each player, let the following variables represent how many baskets were made
B = BenM = MaxT = MitchelC = ChristionD = DanielSo for example, if D = 10, then this means Daniel made 10 baskets. Though for now, we're not sure what number replaces D or any given letter.
------------------
"Daniel remembers that he made three times as many baskets as Ben" tells us that D = 3B is one equation
We know another equation is M = B+6 since Max made six more baskets than Ben
Another equation is C = T because these two students (Christion and Mitchell) made the same number of baskets.
We also know that T < B since Mitchell made fewer baskets compared to Ben.
Altogether the boys made 40 baskets total, so B+M+T+C+D = 40
-------------------
We have these five mathematical statements
D = 3BM = B+6C = TT < BB+M+T+C+D = 40Let's focus on the last equation
B+M+T+C+D = 40
B+M+T+C+3B = 40 .... plug in D = 3B
4B+M+T+C = 40
4B+M+T+T = 40 .... plug in C = T
4B+M+2T = 40
4B+B+6+2T = 40 .... plug in M = B+6
5B+6+2T = 40
5B+2T = 40-6
5B+2T = 34
Now let's solve for T
5B+2T = 34
2T = 34-5B
2T = -5B+34
T = (-5B+34)/2
T = (-5B)/2 + 34/2
T = -2.5B + 17
----------------------------------
We've eliminated everything but two variables at this point.
Let's say that x replaced B and y replaces T
We get the equation y = -2.5x + 17
If you graph this equation along with y = x, you'll find that the two equations intersect at roughly (4.857, 4.857)
Since we want T < B, this means we want y < x to be the case. The line y = -2.5x+17 goes downhill as we move from left to right. If x is smaller than 4.857, then x >= y. Otherwise, if x is larger than 4.857, then y < x
Furthermore, looking at a table of values for this equation shows that only (x,y) = (6,2) is a point on y = -2.5x+17 such that both x and y are positive and x is the larger value, and they are both integer coordinates.
All of this means that when B = 6, this pairs with T = 2. No other number pair is possible for these two students.
We then use this to find the other player's basket count
D = 3B = 3*6 = 18M = B+6 = 6+6 = 12C = T = 2----------------------------------
So we have the following results
B = 6M = 12T = 2C = 2D = 18As a check,
B+M+T+C+D = 6+12+2+2+18 = 40
which confirms our answers.
9514 1404 393
Answer:
Ben: 6Daniel: 18Max: 12Mitchell: 2Christion: 2Step-by-step explanation:
Let x and y represent baskets made by Ben and Mitchell, respectively. Then Daniel made 3x baskets, Max made (x+6) baskets, and Christion made y baskets. The total number is ...
x + 3x +(x+6) +y +y = 40
5x +2y = 34 . . . . . . . . . . . subtract 6
The other constraint on the solution is ...
y < x . . . . . . . . . Mitchell made fewer baskets than Ben
__
We can see that 34 differs from a multiple of 5 by an even number, so (by inspection) we determine that (x, y) = (6, 2) is a solution to the equation. (It is also a solution to the inequality.)
Other possible solutions will require y increase by 5 as x decreases by 2, so those are ...
(x, y) = {(6, 2), (4, 7), (2, 12), (0, 17)}
The only (x, y) pair that satisfies the inequality is the first one: (x, y) = (6, 2). Hence the numbers of baskets are ...
Ben: 6Daniel: 18Max: 12Mitchell: 2Christion: 2Someone please help me with this fast
Answer:
Surface area: 92 cm2
Volume: 60 cm3
Step-by-step explanation:
Hope this helps and tell me in the comments if it is correct or not.
Can sumone please help with this. Its super late and I need help
Answer:
i graphed it for you in a calculator
f(x) = -4x2 + 5x
Find f (6)
Find the area of the semicircle shown below. Use 3.14 for TT
Round your solution to 2 decimal places.
Answer:
r=d/2=18/2=9cm
area of the semicircle=1/2 (πr²)=1/2 (3.14×9²)=127.17cm²
A spherical metal object with a mass of 13.0g has a diameter of 1.3cm. Calculate the density of the metal.
Answer:
11.304 kg/m³
Step-by-step explanation:
0.65cm radius
Volume is 1.15 cm³
.013/.00115
How do I do 2 and 3
Answer:
y=52
x=46
questions 3
x=84
y=84
Step-by-step explanation:
Answer:
#2: x = 64 y = 32[tex]\sqrt{3}[/tex]
#3: x = 6[tex]\sqrt{2}[/tex] y = 6[tex]\sqrt{2}[/tex]
Or, if you are supposed to write your answers in decimal form instead:
#2: x = 64 y = 55.43
#3: x = 8.49 y = 8.49
Step-by-step explanation:
Special right triangles have specific angle measurements that tell you the lengths of each side. I attached an image that explains the rules of different special right triangles in case you need it :)
#2 is a 30-60-90 triangle. This means that x (the side opposite the 90° angle) is two times the length of the shortest side (32×2), and y is equal to 32[tex]\sqrt{3}[/tex].
#3 is a 45-45-90 triangle. This means that x (the side opposite the 45° angle) is equal to y (the side opposite the other 45° angle). The hypotenuse, 12, is x[tex]\sqrt{2}[/tex] (or y[tex]\sqrt{2}[/tex], since x = y). This means 12 = x[tex]\sqrt{2}[/tex]
Help plz:)))I’ll mark u Brainliest
Answer:
The Ladder Reaches 15Ft Up The Wall
Step-by-step explanation:
If y= cx" and dy/dx =
4/root x
what are the values of c and n?
Answer:
c = 8
n = 1/2
Step-by-step explanation:
Since dy/dx is the derivative form, we can integrate the answer to get the value of y.
The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.
What is differentiation?The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).
It can be stated in terms of geometry as the slope of tangent of the function at a given point.
It is given as y = cxⁿ and dy/dx = 4/√x.
Take the derivative of y = cxⁿ with respect to x as,
dy/dx = cd(xⁿ)/dx
⇒ nc × xⁿ⁻¹
Compare the obtained derivative with 4/√x to obtain,
nc = 4 and n - 1 = -1/2
⇒ n = 1/2 and c = 8
Hence, the values of c and n are 1/2 and 8 respectively.
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HALPPPPP!!
The equation of direct proportion y=kx is given by the table. Find the coefficient k, copy the table and fill it in!
Answer:
K = - 4
Step-by-step explanation:
And i don't have a paper now so I cann't to complet the table sorry
choose the equivalent to 5 (2x-3)-4 (3x-2)=18
help plz I dont no 500+500 =(
Answer:
500+500=1,000
Step-by-step explanation:
I hope this helps!
I need the area and perimiter.
Answer:
189.3 square inches, 55.7 inches
Step-by-step explanation:
Area = area of rectangle + area of semicircle
area of rectange = 10 * 15 = 150 square inches
radius of semicircle = 10/2 = 5
area of circle = (pi * 5^2)/2 = 12.5pi square inches
total area = 150 + 12.5pi = 189.3 square inches
total perimeter = perimeter of rectangle - left side + perimeter of semicircle
perimeter of rectangle = 10 + 15 + 15 = 40 inches
perimeter of semicircle = 10pi/2 = 5pi inches
total perimeter = 40 + 5pi = 55.7 inches