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Tasya [4]
3 years ago
9

If f(x)=(x-1)^1/3 then what is f^-1(x)

Mathematics
1 answer:
Stels [109]3 years ago
5 0

Answer:

The answer is f−1(x)=1x13

Step-by-step explanation: hi

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If 8% of all cell phones are defective, and you have a random sample group of 100 Samsung Galaxy Vills,
Sati [7]

Answer:

Mean = 8

Variance = 7.36

Standard Deviation = 2.7129

Step-by-step explanation:

This is a binomial distribution with parameters, n and p.

Where

n is sample size (given as 100)

p is the probability of success, or probability of defective (given as 8% or 0.08)

The mean, variance, standard deviation formula for binomial distribution is shown below:

Mean = np

Variance = npq

Standard Deviation = \sqrt{npq}

Where q would be probability of failure, or "1 - p"

Thus,

n = 100

p = 0.08

q = 1 - 0.08 = 0.92

SO, we have:

Mean = np=100*0.08=8

Variance = npq=100*0.08*0.92 = 7.36

Standard Deviation = \sqrt{npq}=\sqrt{7.36}=2.7129

5 0
3 years ago
The administrator of a $200,000 trust fund must adhere to following guidelines.
skelet666 [1.2K]

Step-by-step explanation:

let us give all the quantities in the problem variable names.

x= amount in utility stock  

y = amount in electronics stock  

c = amount in bond

“The total amount of $200,000 need not be fully invested at any one time.”

becomes

x + y + c ≤ 200, 000,

Also

“The amount invested in the stocks cannot be more than half the total amount invested”

a + b ≤1/2 (total amount invested),

=1/2(x + y + c).

(x+y-c)/2≤0

“The amount invested in the utility stock cannot exceed $40,000”

a ≤ 40, 000

“The amount invested in the bond must be at least $70,000”

 c ≥ 70, 000

Putting this all together, our linear optimization problem is:

Maximize z = 1.09x + 1.04y + 1.05c

subject to

x+ y+ c ≤ 200, 000

x/2 +y/2 -c/2 ≤ 0

              ≤ 40, 000,

              c ≥ 70, 000

a ≥ 0, b ≥ 0, c ≥ 0.

3 0
3 years ago
A) NO CHANGE<br> B) City in the 1860s,<br> C) City, in the 1860s,<br> D) City in the 1860s
Oliga [24]

The correct option is B. City in the 1860s.

Conference In Two Years is the full form of CITY, CITY stands for Conference In Two Years, or Conference In Two Years is the complete name of the given abbreviation.

Any person whose salary is payable, in whole or in part, from the City treasury is referred to as a "City Official," as is any employee, officer, or elected official of the City.

Life as it is lived in a city, especially when compared to that of a small town, hamlet, etc.; the way of life thought to be typical of city dwellers.

Disclaimer

City in the 1860s- stole more than $30 millions.

Choose the correct option

A) NO CHANGE

B) City in the 1860s,

C) City, in the 1860s,

D) City in the 1860s

Learn more about City here

brainly.com/question/237028

#SPJ4

4 0
1 year ago
Why does the fact family for 81 and 9 have only two number sentences
qwelly [4]
Because there are only two things you can do with these two " family" members. 81 divided by 9 is 9. 9 times 9 is 81. Strictly speaking, there should be three in the family: 9,9 and 81 9 is the square root of 81. 81 is the 9 squared.
8 0
3 years ago
3. Are these ratios equivalent? 35:28 and 10:8 *
attashe74 [19]

Reduce each ratio to its minimum expression to find if they are equal.

35:28

\begin{gathered} \frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ =\frac{5}{4} \end{gathered}

10:8

\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}

Since both ratios reduce to 5:4, they are equivalent.

Another way to check a:b is equivalent to c:d, is that a*d = b*c

In this case, this will be true if 35 times 8 is equal to 10 times 28:

\begin{gathered} 35\cdot8=280 \\ 10\cdot28=280 \end{gathered}

Since both products are equal, then the ratios are equivalent.

4 0
1 year ago
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