Answer:
Yes
Step-by-step explanation:
The chi-square test statistic = 24.68.
The critical value for df = 11.34.
Since the calculated value of the chi square falls in the critical region it is concluded that the two variables are dependent.
1) The null and alternative hypotheses are
H0: candy preferences of students is independent of age.
Ha: candy preferences of students is not independent of age.
As the calculated value χ² = 24.68 lies in the critical region χ² ≥χ² =11.34, null hypothesis is rejected.
Therefore, we conclude that there is not enough evidence to accept the null hypothesis .
Answer:
The population in 2039 would be;
<em>Note</em><em>: this value can be confirmed by using the spreadsheet to extrapolate values.</em>
Explanation:
Given that the population in 2019 was;
And the population in 2020 was;
The population growth can be modeled with a linear equation;
The slope m is given as;
And b would be the value of y at x=0.
where x is the number of years after 2019;
the model can then be written as;
At year 2039, x would be;
substituting the value of x into the model;
Therefore, the population in 2039 would be;
<em>Note: this value can be confirmed by using the spreadsheet to extrapolate values.</em>
It must be 21.3 feet.
The sides of the triangle given to us are the side opposite the angle to the ground, 20, and the missing side is the hypotenuse.
opposite/hypotenuse is the ratio for sine:
sin 70 = 20/x
Multiply by x:
x sin 70 = 20
Divide both sides by sin 70:
(x sin 70)/(sin 70) = 20/(sin 70)
x = 21.283 ≈ 21.3
Answer:
The artist used 8.6 inches more of silver wire
Step-by-step explanation:
Perimeter of the square
P = 4*a
P = 4*a = 40 in
a = 10 in
Each side of the square has a length of 10 in
The diameter of the circle is equal to the length of the side of the square
Diameter = 10 in
Perimeter of the circle
P_c = 2*π*radius = π*diameter
P_c = (3.14)*10 in = 31.4 in
Inches of silver wire (square) = 40 in
Inches of copper wire (circle) = 31.4 in
40- 31.4 in = 8.6 in
I Hope This Helps.