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SVEN [57.7K]
1 year ago
10

What is the lowest common multiple of 14 & 28

Mathematics
1 answer:
siniylev [52]1 year ago
6 0

To find the LCM:

1. List the multiples of each number:

Multiples of 14:

14\colon14,28,42,56,70

Multiples of 28:

28\colon28,56,84,112,140

2. The LCM is the smallest number that appears in the two lists above.

<h2>Then, the LCM of 14 and 28 is 28</h2>
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Find the product of the monomial and polynomial xyz*(2x+3y^2-3z^2)
marissa [1.9K]

Answer:

2x^2yz + 3xy^3z - 3xyz^3

Step-by-step explanation:

First you must distribute:

xyz(2x) + xyz(3y^2) + xyz(-3z^2)

Then simplify:

2xyxx + 3xyzy^2 - 3xyz * z^2

And finally simplify each term:

2x^2yz + 3xy^3z - 3xyz^3

4 0
2 years ago
A random sample of n = 40 observations from a quantitative population produced a mean x = 2.2 and a standard deviation s = 0.29.
zmey [24]

Answer:

t=\frac{2.2-2.1}{\frac{0.29}{\sqrt{40}}}=2.18    

df=n-1=40-1=39  

Since is a one side test the p value would be:  

p_v =P(t_{(39)}>2.18)=0.0177  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and then the population mes seems to be higher than 2.1 at 5% of significance

Step-by-step explanation:

Data given and notation  

\bar X=2.2 represent the sample mean

s=0.29 represent the sample standard deviation

n=40 sample size  

\mu_o =2.1 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 2,1, the system of hypothesis would be:  

Null hypothesis:\mu \leq 2.1  

Alternative hypothesis:\mu > 2.1  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{2.2-2.1}{\frac{0.29}{\sqrt{40}}}=2.18    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=40-1=39  

Since is a one side test the p value would be:  

p_v =P(t_{(39)}>2.18)=0.0177  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and then the population mes seems to be higher than 2.1 at 5% of significance

7 0
3 years ago
What is volume, and how is it measured?
Lelu [443]

Answer:

Volume is the amount of space taken up by an object, while capacity is the measure of an object's ability to hold a substance, like a solid, a liquid or a gas.

Step-by-step explanation:

Volume is measured in cubic units, while capacity can be measured in almost every other unit, including liters, gallons, pounds, etc.

- - - - - -

If this helps please mark brainliest <3

5 0
2 years ago
Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n &gt; 1
krok68 [10]

All integers where n ≥ 1.

We have given that the sequence,

a_{n} =4-3(n-1)

We have to find the domain for n.

<h3>What is the meaning of arithmetic sequence?</h3>

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, a_{n} =a+(n-1)d

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By  the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence  for nth term

a_{n} =4-3(n-1)

The domain for n is All integers where n ≥ 1.

To learn more about the arithmetic sequence visit:

brainly.com/question/20118982

4 0
2 years ago
Correct answers only please!
Naily [24]

Answer:  

1st Question

A. 85

2nd Question  

B. 71

Step-by-step explanation:

1st Question

{90 + 94 + 96 + 90} = 370/4 = 92.5

{95 + 99}                  = 194/2 = 97

{87 + 75 + 82 + 85} = 329/4 = 82.25

{71}                =  71/1               = 71

.20(92.5) +.25(97) +.30(82.25) +.25(71) = 85.175  Rounded-up = 85

___________________________________________________

2nd Question  

.10(95) +.20(80) +.50(67) +.20(60) = 71

7 0
3 years ago
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