Answer:
x = 90°
Step-by-step explanation:
Hello!
The sum of angles on a straight line is 180°.
To find the value of angle x°, we can subtract all the given angles form 180°.
<h3>Find x</h3>
- 180° - 60° - 30° = x°
- 180° - 90° = x°
- 90° = x°
The value of x is 90°.
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.
The volume is 27 cubic centimeters.
Answer:
The correct answer is $0,56.
Step-by-step explanation:
In order to begin with the calculation we must understand the information we have.
We know that Lanny bought 1.4 pounds of rice, for a single pound of rice she paid $ 0.40.
To find out how much you paid in total for the rice, we simply multiply the value of the unit 0.40 by the total value of pounds of rice 1.4.
So:
0.40 x 1.4 = 0.56
In this way we can verify that the total Lanny paid for the rice was $ 0.56.
