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Yuki888 [10]
2 years ago
6

Simplify so that there are only positive exponents. (3^9/3^-5)?

Mathematics
1 answer:
lianna [129]2 years ago
5 0

Answer:

19,683 and 1/243

Step-by-step explanation:

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You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who ow
otez555 [7]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the men and women who own cats respectively. The population proportion of men and women who own cats would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of men and women who own cats.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For men

n1 = 80

p1 = 55/100 = 0.55

x1 = p1n1 = 0.55 × 80 = 44

For women,

n2 = 100

p2 = 30/100 = 0.3

x2 = p2n2 = 0.3 × 100 = 30

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (44 + 30)/(80 + 100) = 0.41

1 - pc = 1 - 0.41 = 0.59

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.55 - 0.3)/√(0.41)(0.59)(1/80 + 1/100) = 3.39

Test statistic = 3.39

5 0
3 years ago
PLS HELP ME AM SO STUCK ON THIS
shepuryov [24]

Answer:

it is 612 I think

Step-by-step explanation:

hope this helps

8 0
2 years ago
What is the difference in a SSS Postulate (side-side-side) and SAS Postulate (Side-angle-side)? How do i know which one its goin
gizmo_the_mogwai [7]
With a SSS you’ll only see the little tick marks but on a SAS you’ll see a tick, angle indication, then another tick
6 0
2 years ago
Solve 7x - 5 = 2 ????????????????
wolverine [178]
<span>7x - 5 = 2
add 5 to both sides
</span><span>7x - 5+5 = 2+5

7x=7  
Divide both sides by 7 to get x by itself
x=1 </span>
4 0
3 years ago
Read 2 more answers
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

6 0
3 years ago
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