Given:
trap door = 130 square feet.
1st item: 6ft 5in wide & 8ft 9in long
⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in
⇒ 77inches by 105 inches
⇒ 8,085 square inches
2nd item: 13ft 4in wide & 7ft 8in long
⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in
⇒ 160 inches by 92 inches
⇒ 14,720 square inches
3rd item: 5ft 6in wide & 12ft 4in long
⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in
⇒ 66 inches by 148 inches
⇒ 9,768 square inches
130 square feet convert to square inches.
130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in
18,720 sq. in / 160 inches = 117 inches
Length = 160 inches ; Width = 117 inches
Perimeter = 2(160 + 117)
P = 2(277)
P = 554 inches
Answer:
Odds are 3 to 7
Step-by-step explanation:
The odds are defined as the probability that the event will occur divided by the probability that the event will not occur.
Let's find:
Probability of blue marble = 3/10 [ 3 blue and 10 in total]
Probabilty of NOT blue marble = 7/10 [7 marbles are red and green (not blue) and 10 in total]
Hence,
Odds of drawing a blue marble =
The odds are 3 to 7
Answer:
There is sufficient statistical evidence to state that the average hours of productive work, after announcing the stimulus, has increased significantly
Step-by-step explanation:
To solve this problem, we run a hypothesis test about the difference between population means with dependent samples. Consider the differences in average hours of productive work after the stimulus minus average hours of productive work before the stimulus.
Difference in the null hypothesis (Do) = 0
Sample size (n) = 10
Mean of the sample differences (DM) = 0.19
Standard deviation of the sample differences (SM) = 0.1729
Significance level = 0.01
H0: Do = 0
Ha: Do> = 0
Test statistic =
Right critical T value (for 0.01) = 2.8214
Calculated statistic =
p-value = 0.00350
Since, the value of the test statistic is greater than the value of the calculated statistic, the null hypothesis is rejected. There is sufficient statistical evidence to state that the average hours of productive work, after announcing the stimulus, has increased significantly. The p - value is 0.00350.
Answer:
D
Step-by-step explanation:
Answer:
n = -5.792 ≈ - 5.80
Step-by-step explanation:
The question denotes,
1/32 ÷ √3 = 2^n
Solving for n,
- 1/32 * 1/√3 = 2^n
- 0.018042 = 2^n
Taking log on both sides,
- log (0.018042) = log(2^n)
Rewrite it as,
Transposing log(2) to the RHS,
- n = log(0.018042)/log(2)
- n = -5.792 ≈ -5.80