Answer:
x=-7/160
Step-by-step explanation:
et X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft. A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.
Answer:
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = 0.0082
Step-by-step explanation:
Step(i):-
Mean of the Population = 191.8 ft
Standard deviation of the Population = 4 ft
Let 'X' be the random variable in normal distribution
X = 182.2 feet
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]
Step(ii):-
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = P( z≤ -2.4)
= 1-P(z>2.4)
= 1-(0.5 + A(2.4))
= 0.5 - A(2.4)
= 0.5 - 0.4918
= 0.0082
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = 0.0082
15. A private swimming club
ges $2.50
After the first hour, swimmers have to pay an additional $1.50 for each h.
hour, or part of a half hour thereafter. Georgina and her friend swam int
pool for x hours.
Answer:$11.00
Step-by-step explanation:
Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.
Answer:
14-11.76 = 2.24
2.24×100
14 = 16%
since, the discount percentage is 16%
n electric vehicle has a battery pack that is made up of 10 individual cells. With a 95% probability, we know that any given cell will last at for least 10,000 charge-discharge cycles. Assuming that the failure of any given cell in the battery pack does not depend, in any way, on the performance of any other cell in the battery pack, what is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
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
A circle had a radius 20 cm. What is the area?
Answer:
use formula πr^2
Step-by-step explanation:
the area is 1257.14cm^2
Evaluate the expression
5.4+ab, if a = 4 and b = 8
Answer:
37.4
Step-by-step explanation:
a = 4 and b = 8
change the equation
5.4 + (4) (8)
use P.E.M.D.A.S. and multiply
4*8 = 32
add
5.4 + 32 = 37.4
A large pizza costs $15.99. A second large pizza is 2/3 off. Using an estimate, approximately how much will it cost for 2 large pizzas?
what is the variable in the expression 3y+8
21x-9+27=180 what is x?
SOLVE: 3x+4y = 18 and -2x+4y = 8
Answer:
1, if solved for x = 6 - 4y/3 & y = 9/2 - 3x/4
2, x = -4 + 2y & y = 2 + x/2
Step-by-step explanation:
Solve the inequality.
x+7 > 18
The solution is
Graph the solution.
Answer:
Step-by-step explanation:
sshshfdf
Submit the worksheet with your constructions to your teacher to be graded. Click on the SAVE button to indicate that the assignment is complete.
Answer:
mom?
Step-by-step explanation:
In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed
Answer:
Normal distribution
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
SHOW THE WORK PLSSS
Answer:
[tex] \frac{9 {x}^{4} {y}^{3} }{24 {x}^{ - 2}y } \\ \frac{3 {x}^{2} {y}^{2} }{8} [/tex]
Help me with this question please please
HELP ME WITH ALL OF THESE ASAP i will give BRAINEST
Answer:
The first is true.
8 · 21 = 168
The second is false.
The third is false.
The fourth is true.
Step-by-step explanation:
Answer:
true
168 divided by 21 is 8
true
168 divided by 8 is 21
false
168 divided by 16 is 10.5
false
168 divided by [tex]\frac{1}{8}[/tex] is 21
Step-by-step explanation:
for number one since there 21 cans of soup and 168 oz are used for all cans you would divide 168 by 21 and you get 8 and so on with the rest of the questions !
An amount of $44,000 is borrowed for 9 years at 3% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid
back?
Answer:
A= $52,190.93
Step-by-step explanation:
A = $ 52,190.93
A = P + I where
P (principal) = $ 40,000.00
I (interest) = $ 12,190.93
Calculation Steps:
First, convert R percent to r a decimal
r = R/100
r = 3%/100
r = 0.03 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 40,000.00(1 + 0.03/1)(1)(9)
A = $ 52,190.93
Summary:
The total amount accrued, principal plus interest,
from compound interest on an original principal of
$ 40,000.00 at a rate of 3% per year
compounded 1 times per year
over 9 years is $ 52,190.93.
As their financial advisor, what part of Kyle and Linda’s financial plan would you encourage them to work on and why?
a.
Their plan for managing income.
Their net cash flow is negative.
b.
Their plan for managing their liquidity.
They are not prepared for emergencies.
c.
Their plan for retirement.
They don’t contribute enough to meet their long term goals.
d.
Their plan for protecting their assets.
They should have life insurance on Linda.
Answer:
I think that there should be an image attached but your best bet is probably a.
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
i just took the test edge 2021!
3. Five more than a number is below 17. Use n
for the number.
Answer:
n + 5 = below 17
Step-by-step explanation:
Answer:
n+5<7
Step-by-step explanation:
n+5<7
This is just what I think the problem is asking. Since it asks for 5 more than a number(it doesn't specify what number), then it doesn't matter what number it is. It didn't say that the number is 17, which means that the equation is probably an unequality sentence.
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 $
Round 342.296269789 to 2 decimal places.
Answer:
342.30
Step-by-step explanation:
342.296 would round up because 6 is higher than five. The 0.09 would round up to 0.10, making the 0.2 become a 0.3.
Simplify (0.24) × (-0.15)
Answer:
0.036
Step-by-step explanation:
Answer:
0.24 x 0.15 = 0.036
Step-by-step explanation:
First ignore the decimal points so you have 24*15 = 360.
You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.
please help me
I need help bad
Answer:
C)
Step-by-step explanation:
I hope this helps :)
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
Classify the following triangle.
Answer:
Isosceles obtuse Triangle
Is this correct please answer
Answer:
no need to skip a line between the office equipment and common stock.
Step-by-step explanation:
if I go into the store with $26 and I leave and come out with $11.70 how much did I spend
Answer:
$14.30
Step-by-step explanation:
26 - 11.70 = 14.30
Do 9a, 9b, 9c please quick due in 5 minutes also pleaseeee show step by step thanks I will mark brainlest and give extra points people please
Step-by-step explanation:
The answer to 9a is that A and B have to be on the right side of the number line but A has to be greater than B.
The first and second box for 9c is > .
12 years ago, a mother was twice as old as her son. their present age are in the ratio of 14:9. find their present ages.
Answer:
The presents age of the mom is 42 years old, and of the son is 27 years old.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
The mothers age is x.
The son's age is y.
12 years ago, a mother was twice as old as her son.
This means that:
[tex]x - 12 = 2(y - 12)[/tex]
[tex]x = 2y - 24 + 12[/tex]
[tex]x = 2y - 12[/tex]
Their present age are in the ratio of 14:9.
This means that:
[tex]\frac{x}{y} = \frac{14}{9}[/tex]
[tex]14y = 9x[/tex]
Since [tex]x = 2y - 12[/tex]
[tex]14y = 9(2y - 12)[/tex]
[tex]18y - 108 = 14y[/tex]
[tex]4y = 108[/tex]
[tex]y = \frac{108}{4}[/tex]
[tex]y = 27[/tex]
[tex]x = 2*27 - 12 = 54 - 12 = 42[/tex]
The presents age of the mom is 42 years old, and of the son is 27 years old.
Which two angles are adjacent?
∠AHD and ∠AHB
∠DHB and ∠BHF
∠AHD and ∠BHF
I don't know.
Imported Asset
Answer:
I think it is ∠DHB and ∠BHF
Step-by-step explanation:
Because they share a common side
