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3 years ago

Explain , equivalent fractions, Least common denominator

1 answer:

Volgvan3 years ago

6 0

Equivalent fractions are those fractions that when simplified, are the same. They reduce to the same fraction in their simplest form.

For example, 12/15 and 24 /30 are equivalent fractions. They both reduce to 3/5 in their simplest form.

Least common denominator: it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.

For example, if you have 3/5 + 1/4 and want to add them, you need to get a common denominator

3/5 = 6/10 = 9/15=12/20

1/4 =2/8=3/12 =4/16=5/20

We can use equivalent fractions to help us find the common denominator of 20

replace 3/5 with 12/20 and 1/4 with 5/20

3/5 + 1/4 = 12/20 + 5/20 = 17/20

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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

$Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} } } }$

$Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2} }{25 }+\frac{ (10)^{2} }{ 30} } }$

Z = $\frac{-10}{2.081} = - 4.805$

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is significant difference between in the mean number of times men and women send a Twitter message in a day

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3 years ago

Twenty-eight people in student council are running for the offices of president and vice-president. In how many different ways c

motikmotik

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3 years ago

Help on 4 plz quick also if you can

RideAnS [48]

The area of the rect. is 100 ft times 64 ft, or 6400 ft^2.

Let's list factors of 6400: 64,100

64= 2^6

100= 2^2*5^2

Here we see that 2 appears 8 times as a factor, and 5 appears 2 times:

6400 = 2^6 * 10^2 = 2^8*5^2

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3 years ago

What is the reference angle for a 240 degree angle?

Veronika [31]

The reference angle for 240° is 60° because 240 is in quadrant III. If you were to subtract 240 from 180 you’d get 60.

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2 years ago

Find the greatest common factor of 6 and 15. a. 6 b. 3 c. 4 d. 2

Olin [163]

Answer:

Step-by-step explanation:

Greatest common factor (GCF) of 6 and 15 is 3. We will now calculate the prime factors of 6 and 15, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6 and 15.

Hope this helps

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3 years ago

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