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3 years ago

Express a^6n/a^3n with positive exponents

Mathematics

2 answers:

Nat2105 [25]3 years ago

7 0

I hope this helps you

a^6n-3n

a^3n

goldfiish [28.3K]3 years ago

4 0

Answer: Our required exponential form would be $a^{6n-3n}=a^{3n}$

Step-by-step explanation:

Since we have given that

$\dfrac{a^{6n}}{a^{3n}}\\$

We need to write in positive exponents:

According to law of exponents:

$a^m\div a^n=a^{m-n}$

So, using this, our expression becomes,

$a^{6n-3n}=a^{3n}$

Hence, our required exponential form would be $a^{6n-3n}=a^{3n}$

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Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard devi

Artyom0805 [142]

Answer: Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation: Given : a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

5 0

2 years ago

Read 2 more answers

What is the cube root of -1/512

Stella [2.4K]

Answer:

$-\frac{1}{8}$

Step-by-step explanation:

$\sqrt[3]{-\frac{1}{512}}=\frac{\sqrt[3]{-1}}{\sqrt[3]{512}}=\frac{-1}{8}=-\frac{1}{8}$

7 0

3 years ago

Drag the vertices of the triangle below to draw a triangle with 30 degrees, 50 degrees, and 100, degrees angles.

s2008m [1.1K]

Answer:

Google GoGeometry problem 1288 and it will have a diagram for you

4 0

3 years ago

Can someone help me with number 10, 11, 12, 15, and 16 I don’t understand them thanks

yanalaym [24]

10)

$10^2-48:6+25*3=100-8+75=167$

11)

$8(\frac{16}{4} )+2^2-11*3=32+4-33=3$

12)

$(\frac{6}{3} +4)^2:4*7=(2+4)^2:4*7=6^2:4*7=36:4*7=9*7=63$

13) (your answer is incorrect)

$5(9-4)^2-3^2=5*5^2-3^2=5*25-9=125-9=116$

14) (your answer is incorrect)

$5^2-2^2*4^2-12=25-4*16-12=25-64-12=-51$

15)

$(\frac{50}{5^2} )^2:4=(\frac{50}{25} )^2:4=2^2:4=4:4=1$

16)

$\frac{24+32+30+28}{2}$ -expression to represent this situation

$\frac{24+32+30+28}{2}=\frac{114}{2}=57$

Answer: In 1 group 57 students

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P.S. Hello from Russia :^)

4 0

3 years ago

For each of the following claims, fill in the blanks in the provided hypotheses with inequalities. If your answer is "less than,

Leni [432]

Answer:

a) H0: μ=>3; Ha: μ<3

b) H0: μ<=110; Ha: μ>110

c) H0: μ=2.1; Ha: μ/=2.1

d) H0: μ=>70; Ha: μ<70

Step-by-step explanation:

The claims are usually expressed in the alternative hypothesis, for which we evaluate the evidence, usually sample statistics.

(a) Theory to be tested: The average number of children per household in the United States is less than 3.

In this case, the claim is that the mean is below 3 children per household. The null hypothesis will state then that the average number of children is 3 or more.

H0: μ=>3; Ha: μ<3

(b) Theory to be tested: The average weight of TAMU students is greater than 110 pounds.

The alternative hypothesis represents the claim that the mean is greater than 110. The null hypothesis, then will state that the mean is equal or less than 110.

H0: μ<=110; Ha: μ>110

In this case, the alternative hypothesis is represented by an unequal sign (the average diameter can be higher or lower). Then, the null hypothesis will state that the average diameter is equal to 2.1.

H0: μ=2.1; Ha: μ/=2.1

(d) Theory to be tested: In Belarus (former member of the Soviet Union, located near Chernobyl), the average life span is under 70 years.

The alternative hypothesis states that the average life span is under 70 years, so the null hypothesis will state that it is equal or more than 70 years.

H0: μ=>70; Ha: μ<70

3 0

3 years ago