Answer:
0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
Step-by-step explanation:
For each cell, there are only two possible outcomes. Either it will least for at least 10,000 charge-discharge cycles, or it will not. Cells are independent of each other. So 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.
10 individual cells.
This means that [tex]n = 10[/tex]
95% probability
This means that [tex]p = 0.95[/tex]
What is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
This is P(X = 10).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]
0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
Picture is shown down below ( Math )
Answer:
a) quad 3
b) y-axis
c) quad 4
d) quad 2
e) quad 1
f) x-axis
2. What is the composition f(g(x)) and the inverse of the composite (fog)
given f(x) = 2x + 3 and g(x) = x-5?
Answer:
f(g(x)) = 2x - 7
g(f(x)) = 2x - 2
Step-by-step explanation:
basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function
f(g(x)) = 2(x - 5) + 3
= 2x - 10 + 3
= 2x - 7
the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function
g(f(x)) = (2x + 3) - 5
= 2x + 3 - 5
= 2x -2
Calculate the volume of the cylinder: 10 yd 7 yd
Round to nearest tenth
WILL MARK AS BRAINLIEST
Answer:
The answer is 384.85 yd to the power of 3
Step-by-step explanation:
πr2h
= π×3.52×10
= 122.5π
= 384.85
The volume of the given cylinder would be 384.65 cubic yards.
What is the volume of cylinder?The volume of cylinder is given by -
V = πR²h
Where -
R - Radius of the cylinder
h - height of the cylinder
Given is to calculate the volume of the cylinder with height 10 yd and diameter 7 yd.
For the given cylinder, we have -
Radius of the cylinder : 7/2 = 3.5 yd
Height of the cylinder : 10 yd
So, we can write the volume of the cylinder as -
V = πR²h
V = 3.14 x 3.5 x 3.5 x 10
V = 384.65 cubic yards
Therefore, the volume of the given cylinder would be 384.65 cubic yards.
To solve more questions on cylinders, visit the link below-
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In which table is y a linear function of x
Answer:
We conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
Step-by-step explanation:
Here are some of the rules using which we can easily figure out the true nature of a function.
Linear Function:
The constant change in x and y
Quadratic Function:
The constant change in x
The constant 2nd differences in y
Exponential Function:
The constant change in x
The constant ratio in y
We have to find a table in which y is a linear function of x.
Checking the table C
x -1 0 1 2 3
y 6 8 10 12 14
Here:
There is a constant change in x.
i.e. 0 - (-1) = 1; 1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1
Also there is a constant change in y.
i.e. 8 - 6 = 2; 10 - 8 = 2; 12 - 10 = 2; 14 - 12 = 2
Thus, we conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
hi I'm really in 5y
the grade elementary and the question is four fiths of a spinach casserole is leftover after Sam has lunch Jackie and Alicia each take 1/2 of the left over casserole jack eats only 2/3 of her portion what fraction of a whole casserole did jackie eat express our answer as a simplified fraction
Answer:
0.6
Step-by-step explanation:
2/5 divided by 2/3
use reciprocal method
and make it 2/5*3/2
6/10
A researcher wants to conduct a study to see if cell phones cause headaches. The researcher finds 30 individuals who use cell phones regularly and 30 that do not. Each of the 60 individuals are given a questionnaire designed to determine headache frequency. If the 60 individuals did not know they were participating in the study, which statement about the study is correct?
a. It is an experiment where cell phone habits is a blocking variable.
b. It is an observational study.
c. It is a matched-pairs design.
d. It is a randomized experiment.
e. It is a double-blind study.
Answer: E. It is a double-blind study.
Step-by-step explanation:
This is a double blind study since the 60 individuals who partake in the study did not know they were participating in the study,
A double-blind study is a kind of study whereby the participants involved do not know that they are participating in a study and also don't know who'll end up getting a certain treatment. The aim of this is so that bias can be prevented in the study.
Keith is a gardener and he can plant 40 bushes in 8 hours. How many bushes can he plant in 2 hours?
Answer:
Keith can plant 10 bushes in 2 hours
Step-by-step explanation:
40 divided by 8 is 5 and 5 times 2 is 10.
Please help please please
Answer:
4
Step-by-step explanation:
[tex] \frac{ {7}^{7} }{ {7}^{3} } = {7}^{7 - 3} = {7}^{4} [/tex]
URGENT! Please answer
Please help me. I will give Brainliest
Answer:
I don't know the answer
Step-by-step explanation:
sorry for that
Answer:
d
Step-by-step explanation:
Find the length marked x in the diagram below
Answer:
x = 5.57
Step-by-step explanation:
= √8² + 7²
= √64 + 49
= √113
= 10.63
x = √12² - 10.63²
x = √144 - 112.99
x = √31.01
x = 5.568
x = 5.57
Evaluate the expression for the given value of x.
0.2x + 5.1 for x = -3
PLS HELP GIVING BRAILESS TO FIRST PERSON PLS HELP ASAP
Jason wants to eam money by raking leaves. He buys a rake that costs $30.00. He plans to charge $8.00 for each lawn that he rakes Calculate the amount of profit Jason
will make if he rakes 15 lawns?
Answer:
$90 profit
Step-by-step explanation:
60% of the 7,000 runners in a marathon were women. How many women ran the marathon?
Answer:
4200
Step-by-step explanation:
7000 x 0.60 = 4200
answer you get brainliest and we can be buddies. (i am very loney)
Answer:
10017
Step-by-step explanation:
10^(4)-\sqrt(121)+3^(3)+4^(0)
So, 3^3= 27
4^0=1
10^4=10,000
-square 121= -11
So now you got:
10,000-11+27+1
=10017
Answer:
910
Step-by-step explanation:
1000-121 =879
879 + 27+ 906
906 + 4 = 910
Fifteen less than twice a number is 21.
What is the missing number? |
Answer:
2y - 15
Step-by-step explanation:
well 15 LESS than TWICE a number. okay so let’s start off by making a variable for the unknown number.... y. the variable is y. so now we have to think, TWICE that number, but we don’t know the number.
Now that we have the variable and we know it has to be doubled, let’s start off making the first half... we can out that into 2y. which is 2 multiplied by the unknown number.
now that we have the first half done, we have to take the 15 less. Less can mean or subtract in this kind of situation. but for this certain scenario, it will be subtraction. so the equation would be 2y - 15.
Hello!
First of all, let the number be r.
"twice a number" means we multiply that number by 2:
2r
Subtract 15 (fifteen less)
2r-15
This is equal to 21:
2r-15=21
[tex]\rule{160}{2}[/tex]
Solve the equation:
2r=21+15
2r=36
Divide both sides by 2:
r=18
Hope everything is clear.
Let me know if you have any questions!
#LearnWithJoy
[tex]\rule{2}{2}~\bf{An~Emotional~Helper}~\rule{2}{2}}[/tex]
WORTH 20 POINTS!! HELP PLEASEE
The function g(t) = - 16t2 + vt + h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Part B: What domain makes sense for the function in this context?
1. all positive numbers
2. 0 ≤ t ≤ 100
3. 0 ≤ t ≤ 5
4. all real numbers
Answer:
Step-by-step explanation:
g(t) = -16t² + vt + h
"rocket is launched off the ground at an initial velocity of 80 feet per second"
v = 80
h = 0
g(t) = -16t² + 80t
:::::
The roots of -16t² + 80t are t=0 and t=5. In other words, the rocket hits the ground after 5 seconds.
Domain: 0 ≤ t ≥ 5
Pls help me do you know the answer let me know
Answer:
Are you telling us to answer it all?
Step-by-step explanation:
Answer:
I'm so sorry I have no idea seems so so complicated
Step-by-step explanation:
But I think you would need a specific equation for it and substitute numbers in it.
A random telephone survey of adults (aged and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that of those surveyed planned to file their taxes electronically. a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically.
Answer:
The answer is "66.99%"
Step-by-step explanation:
Please find the correct question in the attached file.
[tex]\to \frac{684}{1021} \times 100\\\\\to \frac{684}{1021} \times 100\\\\ \to 0.6699 \times 100 \\\\ \to 66.99 \%[/tex]
An online fax company, EFaxIt, has a customer plan where a subscriber pays a monthly subscription fee of $6.5 dollars and can send/receive 120 fax pages at no additional cost. For each page sent or received past the 120 page limit, the customer must pay an overage fee of $0.08 per page. The following expression gives the total cost, in dollars, to send p pages beyond the plan's monthly limit.
C= 0.06p + 12.75
Required:
If the monthly bill under this plan comes out to be $16.47, what was the total number of pages that were sent or received?
Answer:
62 pages
Step-by-step explanation:
The total cost function is given as below:
C= 0.06p + 12.75
C=total cost for printing= $16.47
0.06= variable printing cost per page
p=number of pages prinited=the unknown
12.75=monthly fixed printing cost
16.47=0.06p+12.75
16.47-12.75=0.06p
3.72=0.06p
0.06p=3.72
p=3.72/0.06
p=62 pages
Which of the following is equal to 4.8 ÷ 2?
Let's divide:
4.8 ÷ 2 = 2.4
Another option:
Shift the decimal point one space for both:
4.8 → 48
2.0 → 20
Now we can divide easily:
48 ÷ 20 = 2.4
It will give the same result.
Answer. 2.4
In the figure shown, APQR-ADFE
Р
X + 6
6
X + 1
4
Q
x + 3
R
E
X + 8
F
Which equation can be used to find the value of x?
AX+1= 6
B x + 3 = 6
С
X-1
6
x+6
0.x= = *=3
Answer:
The second one
Step-by-step explanation:
if you do the math you can see that the value of x is the second one. I got it right on edge
A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips etc.). No car had more than three defects. Here is the probability distribution for the number of appearance defects in a new car. X: number of defects 0 1 2 3 P(x) 0.61 0.21 0.11 0.07 Find the expected number of appearance defects in a new car. Do not round.
Answer:
The expected number of appearance defects in a new car is 0.64.
Step-by-step explanation:
To find the expected number of appearance defects in a new car, we multiply each outcome by its probability.
We have that:
0.61 probability of 0 defects
0.21 probability of 1 defect
0.11 probability of 2 defects
0.07 probability of 3 defects
0.61*0 + 0.21*1 + 0.11*2 + 0.07*3 = 0.64
The expected number of appearance defects in a new car is 0.64.
Select the correct answer.
Which of the following tables corresponds to the equation below?
y =
O
A.
I
0
1
3
4
5
y
1
4
16
64
256 1,024
B.
0
1
2
3
4
5
y
0
1
4
16
64
4
0
1
2
3
4
5
4
12 /
1
4
16
64
256
D.
0
1
3
4
y
1
4
8
12
16
+
Answer:
A.
Step-by-step explanation:
The table that corresponds to the equation y = ¹/₄(4ˣ) is; Table C
How to simplify an equation?We are given the equation; y = ¹/₄(4ˣ)
At the input value of x = 0;
x = ¹/₄(4⁰)
x = ¹/₄
At the input value of x = 1;
y = ¹/₄(4¹)
y = 1
At the input value of x = 2;
y = ¹/₄(4²)
y = 4
At the input value of x = 3;
Thus;
y = ¹/₄(4³);
y = 16
At the input value of x = 4;
y = ¹/₄(4⁴)
y = 64
At the input value of x = 5;
y = ¹/₄(4⁵)
y = 256
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Determine the value of the missing sides for the following triangle
Answer:
There is no picture or diagram so add them and i can edit this answer, look at paperclip sign first take picture screen shot then add pic on paperclip edit button here.
Step-by-step explanation:
For missing sides of a triangle we do the following.
Does it have a right Angle determine other angle measures, say if an external angle on a straight line showed 145 then its adjoing interior would be 180-145=35 degree.
Are the measure of the lengths congruent with a larger or smaller triangle shown.
If yes then if one triangle showed 4 and same triangle showed 6 and had ne missing, then the other had 8 and 10 and had one missing we would compare and if 8 was the same as 4 we would recognise the congruent triangle is x2 (scale factor 2) so measure 6 woyuld also be measure 12 for the other triangle. and then to find the smaller missing side we see 10 is left over and 10/2 = 5
Other ways to find length is through Pythagoras we use the squares a^2 + b^2 = c^2 for missing slant
and c^2 - b^2 = a^2 for any missing side
so a represents any missing side for the second equation and c represents the missing side if it is a slant only.
Find the value of the power.
(1/8)^3 =
Answer:
1/512 or 1/8^3
Step-by-step explanation:
The formula m = 12,000 + 12,000rt/12t
gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years.
Explain why the formula is a rational function for a given value of r. What if you are given t?
Answer:
Keri's monthly loan payment if she gets a 5% loan for 4 years is $300
Step-by-step explanation:
Answer:
It is of the form p(x)/q(x) where p(x) and q(x) are polynomials, and g(x) does not equal 0
If r is given, it does not change the fact that there is still a variable in the denominator.
If t is given, there is no longer a variable in the denominator. The function is still rational, but the case of t being a constant, it is also linear.
Step-by-step explanation:
on edge 2021 its correct ^^
in the figure below, what is the measure of RST
Answer:
44
Step-by-step explanation:
180-96=84
180-128=52
52+84=136
180-136=44
Does how many mean to add or subtract?
Answer:
Trick question
Step-by-step explanation:
It is divide
How many means divide lol
