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2 years ago

Can two positive integers have their H.C.F and L.C.M as 12 and 512 respectively? justify.

Mathematics

2 answers:

DaniilM [7]2 years ago

7 0

Here is your answer

Reason:

H.C.F. divides the L.C.M. completely.

Here 512 is not completely divided by 12

So, two numbers can't have their H.C.F and L.C.M as 12 and 512 respectively.

HOPE IT IS USEFUL

MAXImum [283]2 years ago

4 0

Answer:

No.

Step-by-step explanation:

The answer is no because 12 has a factor of 3 but 512 hasn't:

12 = 2*2*3

512 = 2^9.

The LCM would have to have 3 as one of its factors.

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To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

QveST [7]

Answer:

We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 31.7 milligrams

Sample mean, $\bar{x}$ = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 2.8 milligrams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}$

We use One-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429$

Now, $t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0

2 years ago

Find the value of an exterior angle of a polygon with 12 sides

Juli2301 [7.4K]

Answer:

$\huge \boxed{30\°}$

Step-by-step explanation:

To find the value of an exterior angle of a regular polygon, we can apply a formula.

$\displaystyle \frac{360}{n}$

$n = \sf number \ of \ sides$

$\displaystyle \frac{360}{12}=30$

3 0

2 years ago

Read 2 more answers

Which of these random samples represents a representative sample of the number of students in a middle school who walk to school

Westkost [7]

Answer:

Step-by-step explanation:

150 is a good sample of a middle school and students at lunch is random again because most students eat lunch

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2 years ago

On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the

Daniel [21]

Answer:

hello your question is incomplete attached below is the complete question

answer :

H0 : u = 21.62 ( Null hypothesis )

H1 : u = 21.62 ( alternative hypothesis )

Step-by-step explanation:

Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62

H0 : u = 21.62 ( Null hypothesis )

H1 : u = 21.62 ( alternative hypothesis )

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2 years ago

How many virtical angles are there? a)m 4 b) 8 c) 11 d) 14

lara31 [8.8K]

A) 4

∠14 & ∠12
∠11 & ∠13
∠10 & ∠8
∠7 & ∠9

vertical angles are angles directly opposite of each other and are of the same measurement.

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2 years ago