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3 years ago

Is 4/12more or less than 4/6

Mathematics

2 answers:

11111nata11111 [884]3 years ago

5 0

4/12 is less than 4/6

4/12 = 2/6

and 2/6 < 4/6

Likurg_2 [28]3 years ago

4 0

4/12 is less than 4/6. We can double check this by making both fractions have denominators of 12. If we multiply 4/6 by 2/2 (which is the same as multiplying by one), the fraction becomes 8/12. Since 8 is greater than 4, 8/12 is larger, meaning that 4/12 is smaller than 4/6.

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3 years ago

It takes 34 pounds of seed to completely plants 5 acre field. How many pounds of seed are needed per acre?

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable

notsponge [240]

Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) $Z=2.45$

b) $P Value=0.0073$

Step-by-step explanation:

From the question we are told that:

Probability of Wishart and Leach $P=21.4=>0.214$

Population Size $N=498$

Sample size $n=12$

Therefore

$P'=\frac{129}{498}$

$P'=0.2590$

Generally the Null and Alternative Hypothesis is mathematically given by

$H_0:P=0.214$

$H_a:=P>0.214$

Test Statistics

$Z=\frac{P'-P}{\sqrt{\frac{P(1-P)}{n}}}$

$Z=\frac{0.2590-0.214}{\sqrt{\frac{0.214(1-0.214)}{498}}}$

$Z=2.45$

Therefore P Value is given as

$P Value =P(Z\geq 2.45)$

$P Value =1-P(Z\leq 2.45)$

$P Value =1-0.99268525$

$P Value=0.0073$

7 0

3 years ago

The angles of traingle are in the ratio 3:7:8 find them in degrees as well as in radians

I am Lyosha [343]

30°, 70°, and 80°.
It is an acute-angled triangle.
Explanation:
The ratio of the measures of ∠s in Δ is 3:7:8.
So, let us suppose that the measures are, 3k, 7k, 8k.
Evidently, their sum is
180°.

3k+7k+8k=180
18k=180
k= 10

Hence, the measures are,
30°, 70°, and 80°.
As all the angles are acute, so is the triangle.

6 0

3 years ago