Answer:
<u>x = 90</u>
Step-by-step explanation:
We know based on the trigonometric identity that :
Here, it's given : tan (x - 45)° = 1
<u>Equating</u>
- tan 45 = tan (x - 45) [both are equal to 1]
- 45 = x - 45
- <u>x = 90</u>
Answer:
50% chance for both
Step-by-step explanation:
If its two marbles then you have a 50% chance of picking up either the black or white. If four marbles are in the bag it would be 25%, if 10 then you have 10% and so on.
The best metric used for students kicking a football would be a meter.
A meter is about the height of a table. This would be a good measure for the distance when kicking a football. A football field is already divided into yards which are very similar in length to meters.
Answer:
d) The additional training did not significantly lower the defect rate
Step-by-step explanation:
Let proportion of defective chips be = x
Null Hypothesis [H0] : Additional training has no impact on defect rate x = 8% = 0.08
Alternate Hypothesis [H1] : Additional training has impact on defect rate x < 8% , x < 0.08
Observed x proportion (mean) : x' = 27 / 450 = 0.06
z statistic = [ x' - x ] / √ [ { x ( 1-x ) } / n ]
( 0.06 - 0.08 ) / √ [ 0.08 (0.92) / 450 ]
= -0.02 / √ 0.0001635
= -0.02 / 0.01278
z = - 1.56
Since calculated value of z, 1.56 < tabulated value of z at assumed 0.01 significance level, 2.33
Null Hypothesis is accepted, 'training didn't have defect rate reduction impact' is concluded