Response:
Option B is correct
Step-by-step breakdown:
(One-tailed test at a significance level of 5%)
n = 16 and x̄ = 1.97
s = 0.1
Standard error of the mean = 
Difference in means = 
t statistic = Difference in means/se = -1.2
degrees of freedom = 16 - 1 = 15
p-value = 0.124375
(B) do not reject the null hypothesis since the test statistic (-1.2) is > the critical value (-1.7531).
Answer: 6000 steps Step-by-step explanation: 1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3. Therefore, 2/3 equals 12000 steps, meaning 1/3 is 6000 steps. Overall, she should tally 18000 steps, and she has recorded 12000 steps, hence 18000-12000=6000 steps.
Answer: d. AB = CD and BC = AD
Step-by-step explanation:
A parallelogram is defined as a four-sided figure with the following characteristics:-
- Opposite sides are equal (AB = CD and BC = AD
).
- Opposite angles are equal (∠A=∠C and ∠D=∠B).
- Consecutive angles are supplementary (∠A + ∠D = 180°).
- The diagonals bisect one another.
- If one angle is a right angle, then all angles are right angles.
Answer: $35
Step-by-step explanation:
The question states that the individual's current bill is $140.00 per month and they wish to reduce this amount by 25%.
To determine how much needs to be subtracted, we calculate 25% of $140.00, as follows:
= 25% of $140
= 25/100 × $140
= 1/4 × $140
= 0.25 × $140
= $35
The individual must cut $35 from the bill, resulting in a new monthly payment of ($140 - $35) = $105.
