ABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer.
1 answer:
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Answer:
Option (2)
Step-by-step explanation:
Given inequality is,
3x + 12 ≤ 24
3x + 12 - 12 ≤ 24 - 12
3x ≤ 12
x ≤ 4
Now we can plot this inequality on a number line.
An arrow starting with a solid point from x = 4 directing towards negative infinity will be the graph on a number line.
Therefore, Option (2) will be the correct option.
Answer:
6,840 casts
Step-by-step explanation:
Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):
There are 6,840 possible casts.
Answer:
The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance
Null hypothesis is accepted at 0.05 level of significance
A company has developed a training procedure is significantly improve scores
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given sample mean (x⁻ ) = 517
sample standard deviation (s) =90
Mean of the Population (μ) =500
<em>Null Hypothesis :- H₀ : </em> (μ) =500
Alternative Hypothesis : H₁ : μ ≠ 500
<u><em>Step(ii)</em></u>:-
Test statistic
t = 1.717
<em>Level of significance</em>
∝ = 0.05
t₀.₀₅ = 1.6604
The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance
<u><em>Conclusion</em></u>:-
Null hypothesis is accepted at 0.05 level of significance
A company has developed a training procedure is significantly improve scores