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3 years ago

Simplify: x^0 y^-3 / x^2 Y^-1

Mathematics

2 answers:

zubka84 [21]3 years ago

6 0

But if you're adding them the answer would be $1/ x^{2}y^2$

natita [175]3 years ago

3 0

x^0 y^-3 / x^2 y^-1
= 1 / x^2 y^-1 (y^3) ...because x^0 = 1 and [(y^-1) (y^3)] = y^2
= 1/(x^2 y^2)

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From a sample of 37 graduate students, the mean number of months of work experience prior to entering an MBA program was 35.15.

kiruha [24]

Answer: (29.35, 40.95)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

, where $\overline{x}$ = sample mean.

z*= critical z-value

n= sample size.

$\sigma$ = Population standard deviation.

As per given , we have

$\overline{x}=35.15$

$\sigma=18$

n= 37

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, the confidence interval for the population mean will be :

$35.15\pm (1.96)\dfrac{18}{\sqrt{37}}$

$=35.15\pm (1.96)\dfrac{1.7}{6.08276}$

$=35.15\pm (1.96)(2.95918)$

$\approx35.15\pm5.80$

$=(35.15-5.80,\ 35.15+5.80)=(29.35,\ 40.95)$

Hence, a 95% confidence interval for the population mean = (29.35, 40.95)

8 0

3 years ago

3 classmates share 2 granola bars equally, how much will each classmate gets?

mel-nik [20]

3 classmates shares 2 granola bars.
IF they shared it equally, how much will each of them get?
=> 3 classmate = 2 available granola
Let’s divide the 2 granola in each of them
=> 2 /3
=> 0.67
Thus, each of them is expected to receive approximately 0.67 granola each
=> Unit rate = 0.67 granola / person.

4 0

3 years ago

Mr.Richard has an orchard of length and breadth 280m and 200m respectively. He wants to fence it with 4 rounds of barbed wire. F

sesenic [268]

Answer:

$109.71

Step-by-step explanation:

first we find the perimeter

=2(280+200)

=2×480

=960m

now we multiply it by 4 as he wants it 4 times around

960×4

3840

now we find the fencing cost

since 35 per meter we divide it by 35

3840/35

=$109.71

8 0

3 years ago

How many ways can the letters of the word snow be arranged horizontally so that the letters n and o are always immediately next

vitfil [10]

Answer:

6 times

Step-by-step explanation:

nosw

swno

wsno

nows

snow

wnos

7 0

2 years ago

the ages of two students are in the ratio of 3:5,if the older is 40yrs. How old is the younger student

kati45 [8]

Answer:

24 years

Step-by-step explanation:

total ratio =8

older student=40 years

3/8*40 ÷ 5/8=24

5 0

3 years ago