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Studentka2010 [4]
3 years ago
10

The complete set of common factors of 6 and 12 is:

Mathematics
1 answer:
trapecia [35]3 years ago
3 0
The complete set of common factors of 6 and 12 is D. {1,2,3,6}
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In p.
ozzi
The circumference by definition is given by:
 C = 2 * pi * r
 Where,
 r: radius of the circle.
 Substituting values we have:
 C = 2 * 3.14 * 16
 C = 100.48 feet
 Answer:
 
A measurement that is closest to the circumference of the parachute in feet is:
 
C = 100.48 feet
6 0
3 years ago
A random sample of 49 measurements from one population had a sample mean of 15, with sample standard deviation 5. An independent
kotykmax [81]

Answer:

Comparing the p value with the significance level \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.  

Step-by-step explanation:

\bar X_{1}=15 represent the mean for sample 1

\bar X_{2}=18 represent the mean for sample 2

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=49 sample size for the group 2  

n_{2}=64 sample size for the group 2  

\alpha=0.01 Significance level provided

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

And the degrees of freedom are given by df=n_1 +n_2 -2=49+64-2=111  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

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

t=\frac{(15-18)-0}{\sqrt{\frac{5^2}{49}+\frac{6^2}{64}}}}=-2.897

P value

Since is a bilateral test the p value would be:  

p_v =2*P(t_{111}  

Comparing the p value with the significance level \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.  

7 0
3 years ago
Turn this fraction into percentage<br> 6/125
lawyer [7]

Answer:

4.8%

Step-by-step explanation:

Step 1: divide the numerator by denominator

Step 2: Multiply 100 with  the answer.

....................................................................

6/125 = 0.048

0.048 * 100

=4.8%

6 0
3 years ago
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Which illustrates the construction of a perpendicular to a line from a point on the line?
quester [9]
I believe the correct answer from the choices listed above is the last option. The last option clearly describes the illustration of the construction of a perpendicular to a line from a point on the line where you start on a point in the line. Using an arbitrary radius, draw arcs intersecting the line <span> at two points. </span>
Hope this answers the question. Have a nice day.
6 0
3 years ago
Read 2 more answers
How to determine a perfect square trinomial
AfilCa [17]

Answer:

Check whether the first and last terms of the trinomial are perfect squares.

Multiply the roots of the first and third terms together.

Compare to the middle terms with the result in step two

If the first and last terms are perfect squares, and the middle term’s coefficient is twice the product of the square roots of the first and last terms

Step-by-step explanation:

3 0
2 years ago
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