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3 years ago

I need help with this pic (least to greatest )

Mathematics

1 answer:

ElenaW [278]3 years ago

4 0

Answer: the answer is 1/4 < 1/2 < 2/3 < 5/6 if you want to know how to do it i wrote an example:)

We do this by first converting all terms into fractions, finding the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least. To find the least common denominator, simply list the multiples of each denominator (multiply by 2, 3, 4, etc. out to about 6 or seven usually works) then look for the smallest number that appears in each list.

Example: Suppose we wanted to add 1/5 + 1/6 + 1/15. We would find the least common denominator as follows…

First we list the multiples of each denominator.

Multiples of 5 are 10, 15, 20, 25, 30, 35, 40,…

Multiples of 6 are 12, 18, 24, 30, 36, 42, 48,…

Multiples of 15 are 30, 45, 60, 75, 90,….

Now, when you look at the list of multiples, you can see that 30 is the smallest number that appears in each list.

Therefore, the least common denominator of 1/5, 1/6 and 1/15 is 30.

Step-by-step explanation:

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A cone with a diameter of 12 inches has a volume of 640.88 cubic inches. find the height of the cone

BlackZzzverrR [31]

Answer:

The height of the cone is $17\ in$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

In this problem we have

$r=12/2=6\ in$ ----> the radius is half the diameter

$V=640.88\ in^{3}$

assume $\pi=3.14$

substitute the values and solve for h

$640.88=\frac{1}{3}(3.14)(6)^{2}h$

$h=640.88*3/((3.14)(36))=17\ in$

8 0

2 years ago

A student concluded that the solution to the equation sqrt2x+1 +3=0 is x=4. Do you agree? Why or why not?

Katyanochek1 [597]

Just put 4 as x in the equation and solve it. The new equation is:

sqrt(2*4)+1+3 = 0

Now we can solve it.

sqrt(2*4) becomes sqrt8:

sqrt8+1+3=0. -------> sqrt8+4=0

The sqrt of 8 is about 2.83.. so 2.83+4 is:

6.83

So we have 6.83 as the answer

but 6.83 does not equal 0 so x cannot equal 4

5 0

2 years ago

Please help!!! Due today!!!<br> Will give brainliest

Flura [38]

Answer:poiujhygtfdoiuytoiuytrewqjhgfdsnbvcnbvnfhhghjgggggggggggggggggggggggggggggggggggggggggggggggggghhhhhhhhhhhhhhhhhhhkkkkkkguyumhjmk,l.uogtgbv mjbnh

Step-by-step explanation:

6 0

2 years ago

Find the sum of the first 56 terms of the sequence {-8,-1, 6, ...}.

torisob [31]

Answer:

Step-by-step explanation:

S56=56/2[2(-8)+(56-1)7]

S56=10332

4 0

3 years ago

The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

stira [4]

Answer:

a) Option A)

$H_{0}: \mu \geq 1503\\H_A: \mu < 1503$

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, $\bar{x}$ = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}$

b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

$\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78$

Thus,

Point estimate of difference = -78

5 0

3 years ago