What is the equivalent ratio of 6:3

Answers

Answer 1

Answer:

Answer:The equivalent ratio of 6:3 is 2:1. To find the equivalent ratio, we divide both terms of the original ratio by the greatest common divisor (GCD) of the two terms.

In this case, the GCD of 6 and 3 is 3. So, we divide both terms by 3:

6 ÷ 3 = 2

3 ÷ 3 = 1

Therefore, the equivalent ratio of 6:3 is 2:1. This means that for every 2 parts of the first quantity, there is 1 part of the second quantity.

For example, if we have 6 apples and we want to find the equivalent number of oranges, we can use the ratio 2:1. So, if we have 6 apples, we would have 3 oranges (since 2 parts of apples is equal to 1 part of oranges).

Remember, when finding equivalent ratios, it is important to divide both terms by the same number to maintain the same ratio relationship.

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Give answer as a mixed number 3/5 + 4/5 =

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The answer as an improper fraction is 7/5. The answer as a mixed number is 1 2/5.

There are 39 donuts in 3 boxes. Calculate the unit rate of donuts per box. *

Answers

Answer:

Step-by-step explanation:

All you do is divide 39 by 3 and that gets 13

E volume of the object, when you reduce the length of your ruler by a factor of 8, the number of volume elements increases by a factor of 512 what's the dimension

Answers

Answer:

$D=3$ .88

Step-by-step explanation:

We can use this equation:

$N=R^(D)$

Where:

N is the increase factor (N=512)
R is the reduce factor (R=8)
D is the dimension

$512=5^(D)$

We just need to solve it for D

$D=log(512)/log(5)$

$D=3$ .88

Therefore the dimension will be 3

I hope it helps you!

Answer:

The dimension is 4

Step-by-step explanation:

Using the equation

N = R^d

Where,

N is the increase factor = 512

R is the reduce factor = 8

d is the dimension

512 = 5^d

Solving by logarithm

1log 512 = d log 5

D = log 512 ÷ log 5

= 3.87

Approximately 4

Sqrt(2−7x) -sqrt(x 3) =3

Answers

$(a+b)^2=a^2+2ab+b^2 \n \n √(2-7x) - √(x+3) =3 \n (√(2-7x))^2 =(3 + √(x+3))^2\n2-7x=9+6√(x+3)+x+3 \n 2-7x-9-x-3=6√(x+3) \n (-8x-10)^2=(6√(x+3))^2 \n64x^2+160x+100=36(x+3) \n 64x^2+160x+100=36x+108\n 64x^2+160x-36x+100-108=0 \n 64x^2+`124x-8=0 \n 4( 16x^(2) +31x-2)=0 \n$
$16x^(2) +31x-2=0 \n(x-2)(16x-1)=0 \n x+2=0 \n x=-2 \n 16x-1=0 \n x= (1)/(16)$

$\sqrt{2-7 \cdot(1)/(16) } - \sqrt{(1)/(16) +3} \neq 3 \n x=-2$

If n=24, x=31, and s = 3 find the margin of error at a 95% confidence level. Give your answer to two decimal places. A) 0.59 B) 1.23 C) 1.96 D) 2.73

Answers

Answer:the correct answer is A) 0.59.

To find the margin of error at a 95% confidence level, we can use the formula:

Margin of Error = Critical Value * Standard Deviation

First, let's find the critical value. Since we are working with a 95% confidence level, we can use a z-score table to find the corresponding critical value.

For a 95% confidence level, the critical value is approximately 1.96.

Next, we need to find the standard deviation. In this case, the standard deviation is represented by "s" which is given as 3.

Now we can calculate the margin of error:

Margin of Error = 1.96 * 3 = 5.88

Rounding this to two decimal places, the margin of error is approximately 5.88.

Therefore, the correct answer is A) 0.59.

Final answer:

The margin of error for a 95% confidence interval with a sample size of 24 and a standard deviation of 3 is approximately 1.2 (or 1.23 when rounding up to the next available answer). This is calculated using the formula M = Z * (s/√n), where M is the margin of error, Z is the z-score, s denotes standard deviation, and n represents the sample size.

Explanation:

The formula for calculating the margin of error at a 95% confidence level is M = Z * (s/√n), where M is the margin of error, Z is the z-score, s is the standard deviation, and n is the sample size.

Since we're finding the margin of error for the 95% confidence level, we use a z-score of 1.96: the value that corresponds to 95% confidence in a standard normal distribution. In your case, n=24, s=3, and z=1.96. Thus, the margin of error is M = 1.96 * (3/√24).

After performing the arithmetic, you'll find that the margin of error, rounded to two decimal places, is approximately 1.2 (1.21 to be more accurate). Thus, the closest answer is B) 1.23.

Learn more about Margin of Error here:

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Which is not a rational number between 1.13and 2.5. a) 1.75 b) 2.25 c) 1.6010010001...

Answers

Step-by-step explanation:

a) and b) have a finite number of digits after the decimal point. dy, they are automatically rational.

c) is the only one with an infinite number of digits after the decimal point. and while we do recognize a pattern, it is not a repeating pattern.

so, c) is NOT a rational number.

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