Answer: 8%
Step-by-step explanation:
Hope it helps. If it does mark me brainliest plz
if x^2/3=2 what is x^2
An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001 and defective bulbs occur independently. Determine the following: a. Probability that an automotive light has two or more defective bulbs. b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.
Answer:
a) 0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.
b) 4000 automotive lights.
Step-by-step explanation:
For each LED, there are only two possible outcomes. Either it is defective, or it is not. Defective bulbs occur independently, which means that we use the binomial probability distribution 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.
An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001.
This means that, respectively, [tex]n = 30, p = 0.001[/tex].
a. Probability that an automotive light has two or more defective bulbs.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.001)^{0}.(0.999)^{30} = 0.9704[/tex]
[tex]P(X = 1) = C_{30,1}.(0.001)^{1}.(0.999)^{29} = 0.0291[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9704 + 0.0291 = 0.9995[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9995 = 0.0005[/tex]
0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.
b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.
0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.
The number of expected trials to obtain n successes with p probability is given by:
[tex]E = \frac{n}{p}[/tex]
In this case, we have that [tex]n = 2, p = 0.0005[/tex]. So
[tex]E = \frac{n}{p} = \frac{2}{0.0005} = 4000[/tex]
4000 automotive lights.
The line plot above shows the height of the baby giraffes at the zoo. What is the difference in height (in inches) between the shortest and the tallest baby giraffes?
Answer:
3.5 inches
Step-by-step explanation:
Height of tallest baby giraffe = 42.75 inches
Height of shortest baby giraffe = 39.25 inches
Difference in height between the tallest and the shortest baby giraffes = 42.75 - 39.25 = 3.5 inches
Select the numbers that have a factor of 5. Mark all that apply.
D
2
A 15
5
3.
(В)
E
50
(F) 31
© 45
Answer:
a number ending in 0 or 5 has a factor of 5
Step-by-step explanation:
5 is a factor of
5, 10, 15, 20, 25...
any number that ends in 0 or 5 would qualify
Hamdan scored 8 out of 10 on his history quiz. Which is his score as a fraction in simplest form?
2 over 5
4 over 5
6 over 10
Answer:
4 over 5
Step-by-step explanation:
The simplist form of 8/10 is 4/5.
Answer: 8/10 is a 4/5
Step-by-step explanation:
Please help anyone im begging
Answer:
A- Root 16
B- Root 27
C- Root 32
Step-by-step explanation:
So A is root 16 because root 16 is equal to 4.
B is root 27
And C is root 32
Please help!!!!
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Answer:
The value of f(3) is -2.
Step-by-step explanation:
This is a recursive function. So
[tex]f(1) = 2[/tex]
Now, we find f(2) in function of f(1). So
[tex]f(1+1) = f(1)^2 - 3[/tex]
[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]
Now, with f(2), we can find the value of f(3).
[tex]f(2+1) = f(2)^2 - 3[/tex]
[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]
The value of f(3) is -2.
What is the b term of the product of (x – 4) and (2x + 3) ?
Answer:
the "b" term is the term "-5 x" in the final quadratic expression
Step-by-step explanation:
Normally the "b" is the "linear term" in a quadratic equation.
So, perform the product of binomials and combine like terms to identify the final "b" term of the quadratic expression you get:
[tex](x-4)*(2x+3)=2x^2 +3x-8x-12=2x^2-5x-12[/tex]
Therefore the "b" term is the term "-5 x" in the final quadratic expression.
John's ordinary step covers 18 inches. How many steps does he take in walking 10 yards?
Answer:
John takes 20 steps in 10 yards.
Step-by-step explanation:
1 yard = 36 inches
10 yards = 36 x 10 = 360 inches
Since John's step covers 18 inches, divide 360 by 18.
360/18 = 20 steps
use the volume formula to find the volume of the prism.
Answer:
Step-by-step explanation:
Answer:12 1/2
Step-by-step explanation:
Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.
Part 1 out of 2
Evaluate each expression for x = 4 and for x = 5. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.
For x = 4, each expression has a value of
26
. For x = 5, each expression has a value of
. These results suggest that the expressions
(select)
equivalent, but
(select)
the expressions are equivalent.
Answer:
See answer below
Step-by-step explanation:
For the first expression
3 x (x - 2) + 2 = 3 x^2 - 6 x + 2
evaluated at x= 4 we get: 26
and for x = 5 we get 47.
For the second expression
2 x^2 + 3 x - 18
we get the exact same values when doing the evaluation at these two points.
Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.
If you are the sole owner of a company with a net worth of $2.35 million dollars and are sued for $4 million dollars what is the amount that you must pay in the lawsuit? Why do you have to pay the amount that you stated?
Explanation: Well in my opinion.... Your networth doesn't matter its just showing how much money you spent...
Soo if you had $4 Million you'd pay it automatically.
Buffy ate 10 hot dogs every 35 minutes. At that rate, how long, in minutes will it take to eat 6 hot dogs
Answer:
21 minutes
Step-by-step explanation:
35 ÷ 10 = 3.5
3.5 × 4 = 14
35 - 14 = 21
=21
Diane is starting a business selling handmade necklaces. She has decided to invest an initial
amount of $203 for advertising, and materials cost $2 for each necklace she makes. Diane
can sell her creations for $31 per necklace. Once she makes and sells a certain number of
necklaces, she will break even, with identical expenses and sales. What would the total
expenses and sales be then? How many necklaces would that take?
−3.64⋅|−5.3|−1.5^3
help pls
Answer:
5
Step-by-step explanation:
its 45
Answer:
-22.667
Step-by-step explanation:
-3.64(5.3) - (1.5)³
-19.292 - 3.375 = -22.667
HELP ASAP! I need help with 11 and 12 please!! Thank you!
Answer:
Q11 part 4 is the correct option
Q12 part 4 is also the correct option
Workers at a quarry are removing rock at a daily rate of 0.1%. There are 3.2 tons of rock when the work begins.
Which function can be used to find the number of tons of rock left at the end of d days?
Answer:
c
Step-by-step explanation:
⁵
(3 A Number pattern has 75 as the first
The rule of the number pattern
Subtract 6 to get the next number
What will be the fifth number in the
sequence
9514 1404 393
Answer:
51
Step-by-step explanation:
The rule gives the sequence ...
75, 69, 63, 57, 51, 45, ...
The 5th number in the sequence is 51.
__
Alternate solution
The equation for the general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
Your sequence has first term 75 and common difference -6, so the equation is ...
an = 75 -6(n -1)
Then for n=5, the term is ...
a5 = 75 -6(5 -4) = 75 -24 = 51
The 5th term is 51.
78 - 24 : (14 - 6) X 2
Answer:
ehfrbff rf rh g5e
Step-by-step explanation:
fnebghrbgy5gty5hfegwrnfybgrvthr4yftbgryibr4th45f94ny7rfjhyrjfrhvgruf
Answer:
3 3/8 or 3.375
Step-by-step explanation:
simplify
54:8x2
54/16
3 3/8
Please help ! 1. Kenken puzzle 3x3
Answer:
Step-by-step explanation:
answer thismath......
Answer:
you can travel 150 miles
Step-by-step explanation:
Answer:
570 miles
Step-by-step explanation:
325.5 - 240 = 85.5
85.5 / 0.15 = 570
5) Graph the following inequality. (3 points) 6x-2y>8
Answer:
Step-by-step explanation:
three positive numbers form an arithmetic progression with d=8 If 7 is subtracted from the first number, 3 is subtracted from the second number, and the third numbers is first decreased by 1 and then the result is multiplied by 3, the resulting numbers form a geometric progression find the original three numbers
Answer:
10, 18, 26
Step-by-step explanation:
A body of mass 2 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
B. Compute the magnitude of that force.
Answer:
a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]
[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]
b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]
Step-by-step explanation:
a) The centripetal force equation is:
[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]
[tex]\vec{F_{c}}=mR\omega^{2}[/tex]
Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:
[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]
[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]
The centripetal force is a vector in the radius direction.
b) The magnitude of that force will be:
[tex]|\vec{F_{c}}|=9.53 \: N [/tex]
Decrease £14120 by 4% Give your answer rounded to 2 DP.
Answer:
(14120/100)*96 = £13,555.20
Step-by-step explanation:
Answer:
£13,555.20
Step-by-step explanation:
14120*4=56480
56480+14120=70,600
then 70,600+20
on a cauculaiter it will give you 70,620 but it is 70,600.20
then 14,1000.50-1,555.30=13,55.20
hope it is helpfull
In the figure below, if sin x= 5/13, what are cos x and tan x? PLZ HELP FOR THE LOVE OF GOD AND WHTS GOOD IN THE WORLD HELPPP
Answer:
Step-by-step explanation:
cos²x = 1-sin²x = 1-(5/13)² = 144/169
cosx = √(144/169) = 12/13
tanx = sinx/cosx = (5/13)/(12/13) = (5/13)×(13/12) = 5/12
What is the integer?
Sally lost 40 dimes because she did not put the money in her piggy bank.
Answer:
-40
Step-by-step explanation:
This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.
WILL MARK BRAINLYIST
Answer:
PK=15
RJ=9
Step-by-step explanation:
PK and RJ are angle bisector because they also bisect their side lengths.
QK=2(PQ)=10
PK=5+10=15
QJ=2(QR)=6
RJ=6+3=9
RJ=9
Can someone help me?
It costs $14.50 to rent a canoe and $6 to use the canoe for an hour. You have $32.50. Write an equation that represents the number h of hours you can rent the canoe. An equation is BLANK =32.50.
Answer:
The answer would be, you have 3 hours to use the canoe