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2 years ago

Is 1/4 less than or greater than 1/8

2 answers:

8 0

To find this answer, you need to find a common denominator. A common denominator is when the number on the bottom of two fractions is the same. The easiest was to do this is to first multiply the two denominators, then multiply the numerator (or top number) by the opposite denominator. This sounds complicated, but it's pretty simple. Here's the equation written out. (I hope this helps!)

4*8 = denominator for both numbers.

8*1 = numerator for the first number

4*1 = numerator for the second number.

This should give you the fractions with common denominators, 8/32 and 4/32. Then, to compare the fractions, just see which numerator is larger. In this case, 8 is larger than 1 which shows that 1/4 is greater than 1/8.

I hope this made sense. There's more than one way to solve these problems, so comment below if you would like me to explain it differently and I'll get back to you as soon as I can! :)

Alex_Xolod [135]2 years ago

6 0

Greater than because if you find the common denominator, which is 8, you would change the numerator to 2 so...
2/8 is less than or greater than 1/8?
It's greater.
Hope this helped :) the answer before me goes into more depth, I just did a brief answer :)

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PLZ HELP ASAP! WILL MARK BRAINLIEST!!

stepan [7]

Answer:

I believe this is right. Answer: 6/7

Step-by-step explanation:

5+1 = 6

The denominator stays the same.

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3 years ago

Point C is on the segment AB which has endpoints A(-1, 0) and B(3, 8). Point C is three times as far from point A as it is from

Viefleur [7K]

Answer:

C = (2, 6)

Step-by-step explanation:

The coordinates of point C can be found as the weighted average of the endpoint coordinates. The weights are the reverse of the relative segment lengths.

For AC : CB = 3 : 1, we have ...

C = (A +3B)/(1+3) = ((-1, 0) +3(3, 8))/4 = (-1+9, 0+24)/4

C = (2, 6)

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3 years ago

When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of

QveST [7]

When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function is; a) 0

What is an Undefined Function?

A function that is a fraction is said to be undefined when the denominator is equal to zero. If there are variables in the denominator, the point at which the expression in the denominator is zero is the point where that function is undefined.

From the question, we want to know what the value of the denominator of a fraction will be to make that fraction undefined. From the definition above, it is clear that the value would be zero.

Read more about Undefined function at; brainly.com/question/13136492

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11 months ago

What is the function rule for the line?

fomenos

Answer: It is f(x)= -3/2x-2

Step-by-step explanation: f(x) is the same as y. The formula for a line is slope-intercept form (y=mx+b). The -2 is the y-intercept, and the line intercepts the graph at -2. The slope is -3/2 because it rises 3 and goes to the left -2.

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2 years ago

Computers require fans to keep them from overheating. Let T be the random variable representing the lifetime of a particular mak

ikadub [295]

Answer:

a) 4.98% of computer fans which will give at least 10,000 hours of service.

b) 3.02% of computer fans which would give at least 10,000 hours of service, that is, fewer fans living for at least 10,000 hours.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X < x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X < x) = 1 - e^{-\mu x}$

In this problem, we have that:

$\mu = \lambda = 0.0003$

(a) Find the proportion of computer fans which will give at least 10,000 hours of service.

Either it gives less 10,000 hours of service, or it gives at least 10,000. The sum of the probabilities of these events is decimal 1. So

$P(X < 10000) + P(X \geq 10000) = 1$

We want $P(X \geq 10000)$ . So

$P(X \geq 10000) = 1 - P(X < 10000)$

$P(X < 10000) = 1 - e^{-0.0003*10000} = 0.9502$

$P(X \geq 10000) = 1 - 0.9502 = 0.0498$

4.98% of computer fans which will give at least 10,000 hours of service.

(b) If the fan is redesigned so that exponential lifetime distribution now has parameter λ = 0.00035, would you expect more fans or fewer fans to live for at least 10,000 hours?

Now $\mu = \lambda = 0.00035$

$P(X \geq 10000) = 1 - P(X < 10000)$

$P(X < 10000) = 1 - e^{-0.00035*10000} = 0.9698$

$P(X \geq 10000) = 1 - 0.9698 = 0.0302$

3.02% of computer fans which would give at least 10,000 hours of service, that is, fewer fans living for at least 10,000 hours.

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3 years ago