Answer:
So then our significance level is
and we need to remember these two conditions:
1) If the p value
we have enough evidence to reject the null hypothesis at the significance level given
2) If the p value
we have enough evidence to FAIL reject the null hypothesis at the significance level given
And baed on the options we see that the only possibility would be:
d. 0.015
Step-by-step explanation:
We want to know for which value we would REJECT the null hypothesis.
So then our significance level is
and we need to remember these two conditions:
1) If the p value
we have enough evidence to reject the null hypothesis at the significance level given
2) If the p value
we have enough evidence to FAIL reject the null hypothesis at the significance level given
And baed on the options we see that the only possibility would be:
d. 0.015
3x^4 becomes 3(3x)^4=3*3^4*x^4
y^2 becomes (3y)^2=3^2y²
the new z=3² the old z, so b is correct.
Answer:
p = 2
n = 14
m = 3
Step-by-step explanation:
In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.
We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.
We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)
So the LCD we need is the product: 2*x which we write as 2x.
Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): 
Next we do the same with the second fraction, this time multiplying top and bottom by the factor "x":

Now that both fractions are written showing the same denominator , we can combine them as indicated:

This expression gives as then the values for the requested coefficients.
p = 2
n = 14
m = 3
Answer:
The correct answer is
Step-by-step explanation:
Snow cone holders are sold in sleeves of 50.
The cones have a slant height (l) of 5 inches and a radius (r) of 3 inches.
Surface area of each cone holder = π × r × l = π × 15 = 15π square inches.
Surface area of all 50 cones in the sleeve = 15π × 50 = 750π = 2357.143 square inches.
Thus 2357.143 square inches pf paper would be necessary for each sleeve each having 50 cone holders.