Answer:
Step-by-step explanation:
Corresponding angles: ∠2=∠ 6 ; ∠1 = ∠5 ; ∠4 = ∠8; ∠3 =∠7
Vertically opposite angles: ∠1 = ∠3; ∠2 = 4; ∠5 = ∠7 ; ∠6 = ∠8
Interior angles : ∠4, ∠3 , ∠6, ∠7
alternate interior angles are equal: ∠3 = ∠5 ; ∠4 = ∠6
Answer:
22.5
Step-by-step explanation:
Volume is l×w×h
2 × 2.5 × 4.5 = 22.5
There is no illustration, so it is impossible to answer this question. I apologize.
Answer:
Step-by-step explanation: If Professor Lam grades 4 papers per hour, in 11 hours he will graded 44 papers. (11 x 4= 44). He had previously graded 6 papers giving him a total of 50 papers graded. His assistant can grade 5 papers per hour, thus it would take him 10 hours to grade the same amount of papers as Professor Lam. (10 x 5= 50) Thus: 11 hours Professor Lam 50 papers graded; 10 hours his assistant 50 papers graded.
The number of tests that it would take for the probability of committing at least one type I error to be at least 0.7 is 118 .
In the question ,
it is given that ,
the probability of committing at least , type I error is = 0.7
we have to find the number of tests ,
let the number of test be n ,
the above mentioned situation can be written as
1 - P(no type I error is committed) ≥ P(at least type I error is committed)
which is written as ,
1 - (1 - 0.01)ⁿ ≥ 0.7
-(0.99)ⁿ ≥ 0.7 - 1
(0.99)ⁿ ≤ 0.3
On further simplification ,
we get ,
n ≈ 118 .
Therefore , the number of tests are 118 .
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