To answer the question above, let x the number of hours for the two jobs to cost equal. Harry's charge can be expressed as 70x + 130 and that of Lou is 80x + 40. Equating both,
70x + 130 = 80x + 40 ; x = 9
Thus, the job should take 9 hours for both charges to be equal.
Answer:
value of a = 6.93 m
hence , (b.)
Step-by-step explanation:
the given triangle is a right angled triangle, so
by using trigonometry.
=》
and we know,
=》
so, by above values of tan ( a ) we get,
=》
=》
=》
=》
=
=》
hence, a = 6.93 m
Answer:
Step-by-step explanation:
In the two independent samples application, it involves the test of hypothesis that is the difference in population means, μ1 - μ2. The null hypothesis is always that there is no difference between groups with respect to means.
Null hypothesis: ∪₁ = ∪₂. where ∪₁ represent the mean of sample 1 and ∪₂ represent the mean of sample 2.
A researcher can hypothesize that the first mean is larger than the second (H1: μ1 > μ2 ), that the first mean is smaller than the second (H1: μ1 < μ2 ), or that the means are different (H1: μ1 ≠ μ2 ). These ae the alternative hypothesis.
Thus for the z test:
if n₁ > 30 and n₂ > 30
z = X₁ - X₂ / {Sp[√(1/n₁ + 1/n₂)]}
where Sp is √{ [(n₁-1)s₁² + (n₂-1)s₂²] / (n₁+n₂-2)}
Answer:
19
Step-by-step explanation:
X will refer to the number.
X+57( the number added to the original.)=4x. (x time 4)
X+57=4x.
Subtract x from both sides to get the variable on one side.
(X+57)-x =(4x)-x
57=3x. You would then divide by 3 on both sides to again get integer isolated.
57/3=3/3x.
57/3=19. 3/3=1.
19=x.
Answer:
The explicit formula for the given expression is 
.
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is
The explicit formula for an AP is
Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.
Therefore the explicit formula for the given expression is .
