Answer:
D 90
Step-by-step explanation:
x/4 ≥ 20
Multiply each side by 4
4*x/4 ≥ 20*4
x ≥ 80
The only number greater than or equal to 80 is 90
Answer:
Yes, the total cost of Lacey lesson is a split function of hours scheduled
Step-by-step explanation:
The amount Lacey pays for each hour of golf = $15
The amount Lacey pays for equipment rental = $10
The amount Lacy pays for equipment rental for a 3 hours long lesson = $5
Therefore, we have
Let C represent the total cost of Lacey lesson and let t represent the number of hours, we have;
C = $10 + t × $15 for 0 ≤ t ≤ 3
C = $5 + t × $15 for t > 3
Therefore, the total cost of Lacey lesson is a split function of hours scheduled
Let
x = first consecutive number
x + 1 = second consecutive number
x + 2 = third consecutive number
The sum of these numbers are 111.
x + x + 1 + x + 2 = 111
3x = 111 - 1 - 2
3x = 108
x = 36
Therefore, the smallest number is 36 because other numbers are 37 and 38.
Answer:
Since the calculated value of t= 2.249 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the bonus plan has not increased sales significantly.
Step-by-step explanation:
The null and alternative hypotheses as
H0: μd=0 Ha: μd≠0
Significance level is set at ∝= 0.05
n= 6
degrees of freedom = df = 6-1 = 5
The critical region is t ( base alpha by 2 with df=5) ≥ ± 2.571
The test statistic under H0 is
t = d/ sd/ √n
Which has t distribution with n-1 degrees of freedom
Sales Difference
Person After Before d = after - before d²
1 94 90 4 16
2 82 84 -2 4
3 90 84 6 36
4 76 70 6 36
5 79 80 -1 1
<u>6 85 80 5 25 </u>
∑ 18 118
d`= ∑d/n= 18/6= 3
sd²= 1/6( 118- 18²/6) = 1/6 ( 118 - 54) = 10.67
sd= 3.266
t= 3/ 3.266/ √6
t= 2.249
Since the calculated value of t= 2.249 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the bonus plan has not increased sales significantly.
Answer:
-2.7, - 0.13, - 0.05, 1.9, 1.91, 21.025, 21.2
