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nata0808 [166]
2 years ago
10

What is 1/4 to the power of 3

Mathematics
2 answers:
diamong [38]2 years ago
6 0

Answer:

1/64 or 0.015625

Step-by-step explanation:

Hi!
I will do my best to help you.

When you are looking for a number to the power of three, you multiply that number three times.

<u>Example: 3 to the power of 3</u>

Wrong way: 3x3=9

Correct way: 3 x 3 x 3= 27

Remember, when doing power of threes, you don’t multiply the number given by three, you multiply the given number to itself three times.

Now that we know this, let’s solve 1/4 to the power of three.

1/4 x 1/4 x 1/4 = 1/64

1/64 simplified is 0.015625.

And that’s about it! Let me know if you have any questions, hope this helped. :)

Alex Ar [27]2 years ago
3 0

Answer:0.015625

Step-by-step explanation:

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When multiplying with fractions you can multiply the top and the bottom independantly
5*3 = 15
1*4 = 4

so 5 * (3/4) = 15/4
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To study the effectiveness of vitamin C in preventing colds, a researcher recruited 200 volunteers. She randomly assigned 100 of
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Answer:

The claim made by the researcher lacks the validity on basis of reasons as indicated in the explanation.

Step-by-step explanation:

The claim made by the researcher is not valid on basis of following reasons:

  1. Interacting variables are not mapped accurately. The additional variables as the health status of the volunteers, eating and fitness habits are not considered in the consideration. This results in a in complete validation.
  2. The placebo effect is not catered accordingly. As the half of the volunteers are taking nothing, this is not the direct influence of the placebo and thus double-blinded testing for placebo effect is to be ensured in future experiments.
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5 0
3 years ago
Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Solnce55 [7]

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \mathbf{y=-\frac{2}{3}x+3 }

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation in slope-intercept form is: y=mx+b where m is slope and b is y-intercept.

Finding Slope:

The both equations given are parallel. So, they have same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  y=mx+b where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept

Using slope m = -2/3 and point (-3,5) we can find y-intercept

y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3

So, we get b = 3

Now, the equation of required line:

having slope m = -2/3 and y-intercept b =3

y=mx+b\\y=-\frac{2}{3}x+3

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \mathbf{y=-\frac{2}{3}x+3 }

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3 years ago
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It has been estimated that 72.7% of alcoholics need professional help to stop drinking. What is the probability that a random al
Svetradugi [14.3K]

The probability that a random alcoholic can kick the habit without professional help is 0.273 .

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that

The alcoholics that need professional help to stop drinking is 72.7 %

Therefore the probability of this is 72.7 /100 = 0.727

The probability that they will not need professional help is given by

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q = 1 -0.727

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Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .

To know more about Probability

brainly.com/question/11234923

#SPJ1

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