On the average, 1 1/3 bushels of seed are needed to plant 1 acre of wheat. How many bushels of seed would be required to plant 3

Response:

Detailed explanation:

a) this situation has a two-tailed test

The critical value is found using the t distribution table.

α = 1 - 0.95 = 0.05

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

Consulting 0.975 with df 10

The critical value obtained is 2.228

b) α = 1 - 0.95 = 0.05

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

Consulting 0.975 with df 20

The critical value obtained is 2.086

c) α = 1 - 0.99 = 0.01

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

Consulting 0.995 with df 20

The critical value obtained is 2.845

d) α = 1 - 0.99 = 0.01

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

Consulting 0.995 with df 60

The critical value obtained is 2.660

e) 1 - α = 1 - 0.01 = 0.99

Consulting 0.99 with df 10

The critical value obtained is 2.764

f) 1 - α = 1 - 0.025 = 0.975

Consulting 0.975 with df 5

The critical value obtained is 2.571

2G=B+3
G=B-4

2(B-4)=B+3
2B-8=B+3
B=11

Bert possesses 11 cents

Imagine having a pile of pennies and you want to determine if the count is odd or even without tallying them one by one. You can separate them into pairs by placing one coin in the left pile and one in the right.

If no coin is left unmatched, then the total number is even; if there is one coin remaining unpaired, the number is odd.

 

According to the vertical angles theorem, angle BAC becomes 50°. Subsequently, angle B is calculated as 180 - (50 + 30) = 100°. Hence, for the similar triangles ABC, EDC, and EFG, the angles in triangle EFG are 30°, 50°, and 100°.

H(t) = -16t² + 704t = -16(t² - 44t)
Transforming to vertex form: -16(t² - 44t + 484) + 704
h(t) = -16(t - 22)² + 704
The projectile reaches its peak height after 22 seconds, corresponding to the vertex of the parabola at (22, 704).