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
if you deposit $500 in an account that earned 3% interest each year, how much would you have in total after 5 years?
500 divided by 3 is 15. 15 times 5 is $75
help loll i’m confused
11. Silvaro borrowed $89.40 from his brother. He determines that he can pay him back
in six weeks. What effect will Silvaro's repayment have on his weekly bank account?
Answer: 14.90$ weekly deduction
Step-by-step explanation:
Answer:
$14.9 deduction
Step-by-step explanation:
Silvaro borrowed $89.40 from hsi brother
Silvaro decided that he will pay him back the money in six months of allowance.
Therefore the effect of the payment in his bank account can be calculated as follows.
= $89.40/6
= $14.9
Hence the payment will have a deduction of $14.9 from his monthly bank account
Hope it helps and if it does mark me brainliest.
Pls help me jenejfnnfnwndndbenjwjdndnwkjs
Answer:
I have no clue
Step-by-step explanation:
HAHA
Simplify: 299.081+59.26-95.32-365.195
At a football game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team. If 455 people attending the game supported the home team, what was the total number of people attending the game? Help me plz:))
Answer:
1300
Step-by-step explanation:
pls help
Which graph represents a linear function?
Answer: The second one
Step-by-step explanation:
Lineair is always a straight line, think of it as a “line in the air”
Answer:
the second one
Step-by-step explanation:
its a straight line
the figure shows the dimension of a city park in feet what is the area of the park?
A 968 ft2
B 1,088 ft2
c 1,208 ft2
d 73,084
i need help on this one
r=26 in. find the diameter.
Answer:
see
Step-by-step explanation:
diameter=2×pi×r
diameter. 2.22/7.r
Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of
acres, a, and the bushels of corn, c, the farm produces
Which equation models the relationship between the independent and dependent variables?
A) a=45c
B) c=45a
C) a=45+c
D) c=45+a
Answer:
i need the answer too
Step-by-step explanation:
у= 4х + 3
у = -X - 2
Answer:
x = - 1
Step-by-step explanation:
y = 4x + 3
y = -x - 2
Find x:
4x + 3 = -x - 2
5x + 3 = - 2 (Adding x to both sides)
5x = - 5 (Subtracting 3 from both sides)
x = -1 (Dividing 5 from both sides)
Answer: x = - 1
Tamara wants to pour a pitcher holding 5 cups of juice into servings that are 1/3 cup in size. How many servings are possible?
Answer:
15
Step-by-step explanation:
5 x 3 = 13
15 servings are possible.
Find the unit rate for 6 and 2/5 cookies in 4 minutes
Answer:
Step-by-step explanation:
6 2/5 cookies in 4 mins
To find the unit rate in minutes, divide 6 2/5 and 4 by 4.
In one minute is 1.6 cookies.
To find the unit rate in cookies, we divide by 6 2/5.
For one cookie, there are 5/8 minutes.
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 1,200. In year 4, the population was 1,728.
The explicit rule for the geometric sequence is:
Answer:
nth term = 1000×1.2ⁿ⁻¹
Step-by-step explanation:
The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,
Therefore,
a₄ = 1728 and a₂ = 1200
We have two terms of the GP, therefore, finding r,
r² = 1728 / 1200 = 1.44
r = 1.2
Therefore,
a₁ = a₂r¹⁻²
= 1200r⁻¹ = 1200/r
= 1200 / 1.2 = 1000
Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
Learn more about geometric sequence click;
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What is the quotient of 6.16 divided
by 1.1?
Answer:
5.6
Step-by-step explanation:
Could someone answer this for me and explain how you solved it ? (Geometry Class)
Answer:
B
Step-by-step explanation:
B is the onlyanwser that has a number that both 9 and 24 are multiplied by toget (2/3) (please excuse the random spaces my space bar is broken)
Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
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3
Which is the best estimate for the percent equivalent to 3/8
000
26%
27%
37%
38%
The Answer is C
Also 37%
The deminsions of a rectangler prism are 5cm, 6cm, and Xcm. Its surface area is 148 cm2. Find the other deminsion.
Answer:
The other dimension is x=4 cm
Step-by-step explanation:
Surface Area of a Rectangular Prism
Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:
A = 2(xy + yz + xz)
We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:
148 = 2(x*5 + 5*6 + x*6)
Dividing by 2:
74 = x*5 + 5*6 + x*6
Operating:
74 = 5x + 30 + 6x
Simplifying:
74 = 11x + 30
Subtracting 30:
44 = 11x
Dividing by 11:
x = 4 cm
The other dimension is x=4 cm
If brownies are $1.80 each how much is that for 10 brownies
Answer:
18 just move the decimal because there is one zero
I need help thank you
Answer:
Maybe three
Step-by-step explanation:
Im not sure
Define/explain the Pythagorean theorem.
Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Step-by-step explanation:
Answer:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
can you guys please help me
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each vertex has a single-letter label.
Each edge joins two vertices, and is named by naming those two vertices.
Each polygon is named by listing the vertices at its corners. It is a plane figure.
The base is the polygon opposite the point where all of the triangles come together.
__
16. figure: pentagonal pyramid ABCDEF
17. base: ABCDE
18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)
19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF
20. vertices: A, B, C, D, E, F
5. If the ratio of boys to girls in a student's class is 5 to 7, what fraction of the class is boys?
What fraction is girls?
Answer:
Boys ratio- 5/12 girls ratio 7/12 dont think you can simplify
Step-by-step explanation:
Answer:
5 = Boys 7 = Girls
Step-by-step explanation:
Boys:Girls = 5:7. I hope this helps :)
a real estate agent sells a house for $360,000. the amount was 30% of her sales for the entire week. which equation could be used to determined s, the total amount of sales for the week
Answer:
1 200 000 $
Step-by-step explanation:
(100 divide per 30 ) x 360 000 $
A group of 28 students wants to go on a bus trip. The cost of the bus is $220. $94 dollars will be paid by one parent and the rest of the cost will be paid for by the students. Select the correct equation to represent this scenario from the options below. Group of answer choices LaTeX: 28x+94=22028 x + 94 = 220
LaTeX: 28x-94=22028 x − 94 = 220
LaTeX: 94x+28=22094 x + 28 = 220
LaTeX: 94x=22094 x = 220
Answer:
c
Step-by-step explanation:
Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices
A.No answer text provided.
B.5z
C.4z3 + 5z2 + z
D.4z3 + 5z2
E.9z2 + z
If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?
Answer:
how much money does it cost for one person??
Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many miles did she drive altogether?
Answer: 18.15 miles
Step-by-step explanation:
(GIVING BRAINLIYEST)
im in 6th grade so please write it simple
8. what is the volume of these 5 objects
Answer:
1,a. 224in
b. 240in
2,144ft
3,it is kind of hard I well try it on common if I can
What is the value of y?
What is the area, in square inches, of the rectangle
Answer:
Part A: y = 3
Part B: Area = 60 sq units
Step-by-step explanation:
we can create this system of equations from the information given:
8y + 2x = 34
10y + 2x = 40
now we can subtract to get:
-2y = -6
y = 3
solve for 'x':
8(3) + 2x = 34
24 + 2x = 34
2x = 10
x = 5
Area of Rectangle is 12 x 5