Answer:
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a vehicle having all defective fuses:
5% of fuses are defective, which means that [tex]p = 0.05[/tex]
A vehicle has 4 fuses, which means that [tex]n = 4[/tex].
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]
If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?
For each vehicle, 0.00000625 probability of having all defective fuses. For 2:
[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Calculate the amount of interest on $4,000.00 for 1 year, compounding daily at 4.5 % APR. From the Monthly Interest Table use $1.046025 in interest for each $1.00 invested.
Answer:
Sierra Madre Oceandental range
What is the value of the expression below when x=3
Answer:
There is no image
Step-by-step explanation:
Try isolating the variable in the equation
compute the value of the discriminant and give the number of real solutions of the quadratic equation
mag aral ng mabuti para may alm
Step-by-step explanation:
yan ang answer
somone pls help me
Answer:
14800 sq yd
Step-by-step explanation:
145+225=370
370÷2=185
185x80=14,800
Why is 5992 divisible by 6
Answer:
Because its 9987 * 6
Step-by-step explanation:
Well, you could use simple math.
6:
1,6
2,3
I'm sorry if this is what you weren't looking for.
I need help can someone help
Answer:
yes i can but will have to get back to you in about half a hour just doing maths atm with the teacher
Step-by-step explanation:
the product of a number and 5 is increased by 12 the result is 32 find the number
Answer:
4
Step-by-step explanation:
First, to get just the multiplication equation, we need to do,
32-12 = 20
20/5 = 4
The number is 4.
Now let's check our work.
4x5+12=32
The answer is 4.
The required number is 4.
Let the number be x.
Given, the product of x and 5 increased by 12 gives 32.
So in equation form,
[tex]5x+12=32\\[/tex]
Subtracting 12 from both the sides,
[tex]5x+12-12=32-12[/tex]
[tex]5x=20\\\\[/tex]
[tex]x=\dfrac{20}{5}[/tex]
Or, [tex]x=4[/tex]
Hence the required number is 4.
For more details follow the link:
https://brainly.com/question/10439298
Consider the function f(x)=x−5ln(x), 1/5≤x≤10.
The absolute maximum value is =
and this occurs at x equals =
The absolute minimum value is =
and this occurs at x equals =
f(x) = x - 5 ln(x)
Get the derivative:
f'(x) = 1 - 5/x
Find the critical points:
• f'(x) = 1 - 5/x = 0 -> 5/x = 1 -> x = 5
• f'(x) is undefined for x = 0, but that's outside the domain of f(x)
Get the second derivative:
f''(x) = 5/x ^2
Check the sign of the second derivative at the critical point x = 5:
f'' (5) = 5/5^2 = 5/25 = 1/5 > 0
Since the second derivative is positive at this point, this means x = 5 is a local minimum.
Check the value of f(x) at the critical point as well as the endpoints of the given domain:
f (5) = 5 - 5 ln(5) ≈ -3.407
f (1/5) = 1/5 - 5 ln(1/5) ≈ 1.809
f (10) = 10 - 5 ln(10) ≈ -1.513
So we have
• absolute maximum = 1/5 - 5 ln(1/5) at x = 1/5
• absolute minimum = 5 - 5 ln(5) at x = 5
The absolute maximum value is f(5)=5−5ln(5), and this occurs at x equals 5
The absolute minimum value is f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5
Given the function f(x)=x−5ln(x),
We are to find the absolute minimum and maximum value of the function
At the turning point f'(x) = x - 5ln(x)
f'(x) = 1 - 5/x
0 = 1 - 5/x
-5/x = -1
-x = -5
x = 5
Find the second derivative of the function;
f''(x) = -5/x²
Substitute the value of x = 5 into the second derivative function to have:
f''(5) = -5/5² = 1/5
Since f''(5) = 1/5 < 0, this is the local maximum and the point x = 5 is the absolute minimum
The absolute maximum value is f(5)=5−5ln(5), and this occurs at x equals 5
The absolute minimum value is f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5
Learn more here: https://brainly.com/question/19921479
Evaluate the following, using the distributive property. (i) – 39 × 99
(ii) (– 85) × 43 + 43 × ( – 15)
(iii) 53 × ( – 9) – ( – 109) × 53
(iv) 68 × (–17) + ( –68) × 3
(v) 26 x (-48) + (-48) x 36
(vi) (-41) x 102
(vii)(-57) x (-19) + 5
Answer:
(i) - 33 × 99
= - 3267
(iii) 53 × ( - 9) - ( - 109) × 53
= - 477 + 109 × 53
= - 477 + 5777
= + 5300
(ii) (-85) × 43 + 43 × ( - 15)
= - 3655 + 43 - 645
= - 3655 - 645 + 43
= - 4300 + 43
= - 4257
A box is full of thousands of numbered tickets. We want to estimate the unknown average of all the numbers in the box. To do this, we draw 250 tickets at random. The numbers on these 250 tickets average out to 118 with a standard deviation of 53. Round your values to three decimal places. We estimate the average of all the tickets in the box to be . Attach a give-or-take value to this estimate. (That is, estimate the standard error.) For an 85% confidence interval, about how many standard errors should be added to and subtracted from the estimate
Math each value on the left with the number on the right that includes that value.
Answer:
Answer given below
Step-by-step explanation:
5 thousands - 45,809
8 hundreds - 958,823
3 millions - 3,072,700
2 ten thousands - 7,426,580
7 hundred thousands - 752,671
What is the equation for the axis of symmetry of your quadratic ?
Y=x^2-4x
Answer:
[tex]y = {x}^{2} - 4x \\ y = x(x - 4)[/tex]
simplify 0.6 kg : 3/4 kg : 400 g
Answer:
0.6 kg x .4 kg /.75 = 0.32 kg
PLEASE HELP
PLEASEEEEEE
WILL
GIVE
N N N N N
BRAINLIST
Answer:
31338is the correct answer
Answer:
THE LAST ONE
Step-by-step explanation:
13,158-18,180=5022
Subtract BECAUSE WE NEED THE DiEFFRENT
Is (–5, 2) a solution to the equation y = x?
Amelia has a 1-6 number cube (dice). She rolls the cube twice. What is the probability that she rolls two even
numbers in a row?
Answer:
6/9
Step-by-step explanation:
2/6 x 2 = 0.6... and the 6 keeps repeating. There is one repeating number, so your answer is 6/9.
Translate the word phrase into a math expression.
15 fewer than the product of 4 and a number.
ples look at pic to know the options :)
Answer:
15 - 4x
Hope this helps :)
Determine the Surface area of the box (Show work)
Answer:
Step-by-step explanation:
Ok. If this is surface area we will have to multiply all the areas together. So, 12 x 8 x 2 = 192. Your answer will be 192.
What is the slope of the following graph?
Problem ID: PRAFJA9
Look at this graph.
What is the slope of line k?
(I will give you the brainiest thing )(please answer quick)
Answer:
10/4
Step-by-step explanation:
In her first basketball game, Charlotte scored 21 points. In the next game, she scored 15
points. By what percent did her score decrease?
ASAP
Answer:
28.57%
Step-by-step explanation:
Find the percent decrease by dividing the change in the number of points by the original number of points, then multiplying it by 100:
((21 - 15) / 21) x 100
(6 / 21) x 100
= 28.57
So, her score decreased by approximately 28.57%
Write 0.0000000000048 as a multiple of a power of 10.
Answer:
Step-by-step explanation:
6.492506e-114
Answer:
4.8 x 10^-12
hope this helps
have a good day :)
Step-by-step explanation:
Here is the next one jaded :))
Answer:
x = 5.56
Step-by-step explanation:
Sin(17) = [tex]\frac{x}{19}[/tex]
=> Isolate the "x"
Sin(17) * 19 = x
5.56 = x
Hope this helps!
A culture of bacteria grows in a lab according to the model B = 600e^(kt) where t is the measured in hours. The culture reaches a size of 750 after 6 hours. Find the value of k.
NO LINKS!!!!!!
9514 1404 393
Answer:
k ≈ 0.03719
Step-by-step explanation:
Fill in the given numbers and solve for k.
750 = 600e^(6k)
1.25 = e^(6k)
ln(1.25) = 6k . . . . . take the natural log
k = ln(1.25)/6 . . . . . divide by 6
k ≈ 0.03719
help!! very easy math! please answer correctly. <3
Answer:
y=1x+(-8)
Step-by-step explanation:
Order each expression from smallest (top) to largest (bottom).
|-10
|--2
III
15
10
III III
2
what would be the value of x please help
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The segment marked 6x is the midline of the triangle, so is half the length of the base.
6x = 1/2(84)
x = 42/6 = 7
The value of x is 7.
Start at the origin, shift up 3 units
Which number line shows one way to find the value of 2 - 6?