Answer:
[tex]P(Atleast\ 1) = 0.9999992[/tex]
Step-by-step explanation:
Given
[tex]p = 3\%[/tex] --- rate of hard disk drives failure
[tex]n = 4[/tex] --- number of hard disk drives
See comment for complete question
Required
[tex]P(Atleast\ 1)[/tex]
First, calculate the probability that the none of the 4 selected is working;
[tex]P(none) = p^4[/tex]
[tex]P(none) = (3\%)^4[/tex]
[tex]P(none) = (0.03)^4[/tex]
Using the complement rule, the probability that at least 1 is working is:
[tex]P(Atleast\ 1) = 1 - P(none)[/tex]
This gives:
[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]
[tex]P(Atleast\ 1) = 0.9999992[/tex]
PLS HELP ASAP¡!!!
solve for f(3) if
f(x)=x^3+2x^2-x-1
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
Step-by-step explanation:
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
so it's that
PLS HELP (algebra 1)
solve -6 + 8(16 - 19z)
Answer:
122-152z
Step-by-step explanation:
-6+ 8(16 - 19z)
= -6 + 128 - 152z
= 122 - 152z
I hope this helps!
In ΔVWX, the measure of ∠X=90°, XW = 20, WV = 29, and VX = 21. What ratio represents the cosine of ∠W?
Can someone help me with this question please. I've been struggling.
Write the equation of the line of reflection
Answer:
y=-1
Step-by-step explanation:
Since we see an overlap, the line must cross through the original image.We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.IM BEGGING PLEASE I NEED THE ANSWER TO THIS :C
Answer:
The answer is D.
Step-by-step explanation:
Given f(x) = 19x + 12 , find f(3)
F(3)= ?
Answer:
69
Step-by-step explanation:
to find f(3), we'll have to substitute x with 3
therefore,
f(3) = 19 × 3 + 12
= 57 + 12
= 69
Answer:
f ( 3 ) = 69
Step-by-step explanation:
Given :-
f ( x ) = 19x + 12.
To find :- f ( 3 ) = ?
Solution :-
f ( x ) = 19x + 12.
Substitute as the 3 as x
f ( 3 ) = 19 ( 3 ) + 12
Multiply ; 19 × 3
f ( 3 ) = 57 + 12
Add 57 and 12
f ( 3 ) = 69
Find the value of x in x + y= 9 and x - y= 3.
6
-6
3
-3
x + y= 9 and x - y= 3
rearrange the second equation:
x - y= 3
x = 3 + y
x -3 = y
substitute y with "x-3" in the first equation and solve
x + y= 9
x + (x-3)= 9
2x -3 = 9
2x = 12
x = 6
you could also start with the first equation and substitute y in the second.
graphically speaking, it's the intersection point of to lines, at least the six-part of the point.
Are the two triangles similar. If so, State how
Answer:
Yes by AAA
Step-by-step explanation:
Angle A is the same for both triangles. Angle D is congruent to Angle A since BC and DE are parallel lines and same with angle E. So by AAA the triangles are similar
Someone please answer this
Answer:
(x - 1)(5x - 6)
Step-by-step explanation:
Given
5x² - 11x + 6
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 5 × 6 = 30 and b = - 11
The factors are - 5 and - 6
Use these factors to split the x- term
5x² - 5x - 6x + 6 ( factor the first/second and third/fourth terms )
= 5x(x - 1) - 6(x - 1) ← factor out (x - 1) from each term
= (x - 1)(5x - 6)
Find the area of the triangle bounded by the lines y=x y=-x and y=6.
The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.
What is area of triangle?The formula for finding area could be represented in the form of determinants as given below.
[tex]A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right][/tex]
First, we need to find the coordinates of the point of intersection of these lines.
y = x
y = -x
Adding the two equations,
2y = 0
y = 0
x = 0
coordinate: (0, 0)
y = x
y = 6
Subtracting the two equations,
0 = x - 6
x = 6
coordinate: (6, 6)
y = -x
y = 6
Subtracting the two equations,
- x - 6 = 0
x = -6
coordinate: (-6, 6)
Calculating area of triangle bounded by the given line:
Area of triangle =
[tex]\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right][/tex] = [tex]\frac{1}{2} (36 + 36) = \frac{72}{2} = 36[/tex]
Learn more about area of triangle here
https://brainly.com/question/19305981
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which of the following numbers has the least number of positive divisors if a=50^(100) . choose: 1)25a 2)4a 3)3a 4)26a 5)10a
Answer:
the answer would have to be B
Step-by-step explanation:
In AJKL, mZJ = (8x + 6)", mZK = (2x + 2)°, and młL = (4x + 4)º. Find m_L.
Answer:
Step-by-step explanation:
∠J + ∠K + ∠L = 180 {Angle sum property of triangle}
8x + 6 + 2x + 2 + 4x + 4 = 180
8x + 2x + 8x + 6 + 2 + 4 = 180
Combine like terms.
14x + 12 = 180
Subtract 12 form both sides
14x = 180 - 12
14x = 168
Divide both sides by 14
x = 168/14
x = 12
∠L = 4x + 4
= 4*12 + 4
= 48 + 4
∠L = 52
The sum of three consecutive odd numbers is 63. What are the numbers?
Answer:
19, 21 and 23
Step-by-step explanation:
→ Make an algebraic expression for the 3 consecutive numbers
2x + 1, 2x + 3 and 2x + 5
→ Add the expressions together and make it equal to 63
2x + 1 + 2x + 3 + 2x + 5 = 63
→ Simplify
6x + 9 = 63
→ Minus 9 from both sides
6x = 54
→ Divide both sides by 6
x = 9
→ Resubstitute x = 9 into the 3 expressions
x = 9 into 2x + 1 is 19
x = 9 into 2x + 3 is 21
x = 9 into 2x + 5 is 23
Using the table below, what is the rate of change? Don't forget to include your units.
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
Answer:
0.75
Step-by-step explanation:
Given the table :
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
The rate of change :
Rate of change = Rise / Run
Rise = y2 - y1 ; Run = x2 - x1
From the table :
Take number of sodas as X - axis
Total cost as Y - axis
Taking the points :
(24, 18) ;(36, 27)
x1 = 24 ; x2 = 36
y1 = 18 ; y2 = 27
Rise = (y2 - y1) = (27 - 18) = 9
Run = (x2 - x1) = (36 - 24) = 12
Rate of change = 9 / 12 = 0.75
helppppppppppppp plzzzzz
the answer is in the picture
Find the value of x that makes A || B
HELPPPPP
Answer:
x = 90
Step-by-step explanation:
If lines A and B were parallel , then
∠ 1 and ∠ 4 are corresponding angles and congruent, so
3x - 160 = x + 20 ( subtract x from both sides )
2x - 160 = 20 ( add 160 to both sides )
2x = 180 ( divide both sides by 2 )
x = 90
18
Select the correct answer.
Which function is a horizontal translation of the parent quadratic function, f(x)=x^2
A. j(x)= x^2- 4
B. g(x)= (x-4)^2
C. k(x)= -x^2
D. h(x)= 4x^2
Answer:
B
Step-by-step explanation:
When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function
With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it
Thus;
f(x) = x^2 would be;
g(x) = (x-4)^2
Corresponding to a shift to the right of upto 4 units on the x axis
Answer:
g(x)= (x-4)^2
Step-by-step explanation:
Plato/Edmentum
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - x + 4 = 0
Answer:
[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex] or [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]
Step-by-step explanation:
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
We have a = 3; b = -1; c = 4.
[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]
[tex]x = \dfrac{1 \pm \sqrt{1 - 48}}{6}[/tex]
[tex]x = \dfrac{1 \pm \sqrt{-47}}{6}[/tex]
[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex] or [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]
Find the measure of DA
Answer:
15
Step-by-step explanation:
First, find x
set your formula up as 3x+5=6x-10, since AB and DC are the same length.
This means x = 5
Now substitute 5 for x in the line DA
4x-5
4 * 5 - 5 = 15
series calcular s=1+2+3+....+86
Answer:
S = 3741
Step-by-step explanation:
Here, we want to calculate the sum of the first 86 numbers (starting from 1)
Mathematically, we can use the formula;
Sn = n/2[ a + L]
Where n is the number of terms (86 here)
a is the first term which is 1 and L is the last term which is 86
So, we have the sum as;
Sn = 86/2(1 + 86) = 43 * 87 = 3741
Drag each expression to the correct category.
Apply the produc rules to determine the sign of each expression.
[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]
[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]
[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]
[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]
[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]
[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]
On vacation, Tim plans to spend less than $30 a day. If he spends $12 for food, what is the greatest number of dollars he can spend per day on other things? (Express in whole dollars.) Write an inequality and solve.
Answer:
So, Tim spent maximum $ 18 dollars on other things
Step-by-step explanation:
Total spent per day is less than $ 30.
Money spent on food= $ 12
So, the maximum amount amount spent on the things is
= $ 30 - $ 12 = $ 18
So, Tim spent maximum $ 18 dollars on other things.
5/8 divided by 8 please help man I will give the brainly thing \y
Answer:
5/64
Step-by-step explanation:
5/8 : 8 = 5/8 * 1/8 = 5/64
Answer:
12 4/5
Step-by-step explanation:
simplified
A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
Answer:
[tex]Height = 12cm[/tex]
Step-by-step explanation:
Given
[tex]Volume = 1200cm^3[/tex]
The dimension of the base is:
[tex]Base =10cm[/tex]
[tex]Sides = 13cm[/tex]
See comment for complete question
Required
The height of the base
To do this, we make use of Pythagoras theorem where:
[tex]Sides^2 = (Base/2)^2 + Height^2[/tex]
So, we have:
[tex]13^2 = (10/2)^2 + Height^2[/tex]
[tex]13^2 = 5^2 + Height^2[/tex]
[tex]169 = 25 + Height^2[/tex]
Collect like terms
[tex]Height^2 = 169 - 25[/tex]
[tex]Height^2 = 144[/tex]
Take square roots of both sides
[tex]Height = 12cm[/tex]
Mary ran 2 miles in about 23 minutes If she continued at the same pace how long will it take her to run 10 miles?
PLEASE ANSWER HURRY!!
What is 2.16 (6 is repeating) to a fraction??
Answer:
[tex]2\frac{1}{6}[/tex]
Step-by-step explanation:
let x=2.16666...
10 x=21.666...(1)
100 x=216.666...(2)
(2)-(1) gives
90x=195
6x=13
x=13/6
x=2 1/6
How do i solve this help me
Answer:
-24
Step-by-step explanation:
First substitute
(6x8)/-2
Then solve
48/-2=-24
-24
Answer:
[tex]-24[/tex]
Step-by-step explanation:
The value of y is given as 8
The value of z is given as -2
The expression given is [tex]\frac{6y}{z}[/tex]
Substitute the value of y as 8 & z as -2 in the brackets:
[tex]=\frac{6(8)}{-2}[/tex]
[tex]=\frac{48}{-2}[/tex]
[tex]=-24[/tex]
hope this helps....
nate and laura picked 20 apples laura picked 1/2 of what nate picked
how many did nate pick?
Answer:
10
Step-by-step explanation:
20÷2=10 the half of 20 is 10 simple as that
Answer:
ok so together they picked 20 apples so
20=y+1/2y
y=40/3 or 13 1/3
thats how many nate picked and we divide by 2
6 2/3
Hope This Helps!!!
6. Write two rational numbers which are their own reciprocals ?
1 and -1 are the only rational numbers which are their own reciprocal.[tex] \: [/tex]
