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victus00 [196]
3 years ago
14

Which expression is equivalent to (m^8n^−4)^14 ?

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Which expression is equivalent to (m^8\times n^-4)^ 1/4

Answer:

m^2/n

Step-by-step explanation:

Given.

I assume this is your expression:

The expression is =(m^{8} \times n^{-4} )^{\frac{1}{4} }

Now simplify the expression by multiplying the power.

=(m^{8\times \frac{1}{4}} \times n^{-4\times \frac{1}{4}}} )

=(m^{2} \times n^{-1} )

=\frac{m^{2}}{n}

So, the expression is equivalent to \frac{m^{2}}{n}

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If Karri takes a 7 question true false test and guess on every question, what is the
dusya [7]

Answer:

The  probability that she gets all 7 questions correct is 0.0078.

Step-by-step explanation:

We are given that Karri takes a 7 question true-false test and guess on every question.

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,........        

where, n = number of samples (trials) taken = 7 question

            r = number of success = all 7 questions correct

            p = probability of success which in our question is probability that

                   question is correct, i.e. p = 50%

Let X = <u><em>Number of question that are correct</em></u>

So, X ~ Binom(n = 7, p = 0.50)

Now, the  probability that she gets all 7 questions correct is given by = P(X = 7)

         P(X = 7)  =  \binom{7}{7} \times 0.50^{7} \times (1-0.50)^{7-7}

                        =  1 \times 0.50^{7} \times 0.50^{0}

                        =  <u>0.0078</u>

6 0
3 years ago
Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commission o
Sergio039 [100]

Answer:

The answer is below

Step-by-step explanation:

a) Natalie basic salary is $300 per week. She is paid a commission of 30% of her total sales for the week. Therefore her total weekly salary per week is given by:

Total weekly salary = Basic salary + Commissions

If Natalie makes $225 in sales, her commission = 30% of $225 = 0.3 × $225 = $67.5

Total weekly salary = Basic salary + Commissions = $300 + $67.5

Total weekly salary = $367.5

b) If Natalie makes $x in sales, her commission = 30% of $x = 0.3 × $x = $0.3x

Total weekly salary = Basic salary + Commissions = $300 + $0.3x

Total weekly salary = $(300 + 0.3x)

7 0
3 years ago
Which describes the transformations of y = f(x) that would result in the graph of y = f(-x) – 7.
coldgirl [10]

Answer:

a reflection in the y-axis followed by a translation down by 7 units

Step-by-step explanation:

just answered it

3 0
3 years ago
9. A group of 14 friends went to a basketball game and paid a total of $70 for their admission tickets. They received a discount
lukranit [14]

the answer is $7

Step-by-step explanation:

70 divided by 14 is 5.

cost would be $5 per person before discount of $2

$5 plus $2 equal $7

p= $7

4 0
3 years ago
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of serv
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Answer:

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8 0
3 years ago
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