Answer:
32
Step-by-step explanation:
JL = LG/2 -->
16 = LG/2 -->
32 = LG
Answer:
60
Step-by-step explanation:
24 ÷ 4 is 6. In 8 days He would have 48. Add two 6's and you get the number 60.
Answer:8
Step-by-step explanation:
Answer:
b. A binomial variable with 25 independent trials
Step-by-step explanation:
The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.
we are given that variance of R=6 and p=probability of success=0.4.
We know that variance of binomial distribution is
Variance=npq
where q=1-p=1-0.4=0.6.
By putting the values in variance formula, we can get the value of n.
6=n*0.4*0.6
6=0.24*n
n=6/0.24
n=25
Hence, random variable R is a binomial variable with 25 independent trials.
Answer:
3.458×10¹⁷ kg
Step-by-step explanation:
(3.5×10⁻² kg/L) × (9.88×10¹⁸ L) = (3.5×9.88) × 10⁽⁻²⁺¹⁸⁾ kg
... = 34.58×10¹⁶ kg
... = 3.458×10¹⁷ kg
_____
Comment on significant digits
It would be appropriate to round the answer to 2 significant digits, matching the number of significant digits in the least-precise factor. Then the answer would be 3.5×10¹⁷ kg.
_____
Comment on scientific notation problems
Your scientific calculator can show results in scientific notation.
Answer:
59.44 units²
Step-by-step explanation:
The area of each triangular section can be computed from the side length (5 units) and the central angle (72°) as ...
... section area = (1/2)sin(72°)·5² ≈ 12.5·0.951057 ≈ 11.8882 . . . units²
Then 5 such sections will have an area of ...
... pentagon area = 5·11.8882 units² = 59.4410 units²
_____
Comment on central angle
The central angles total 360°. There are 5 equal sections, so the central angle for each of them is 360°/5 = 72°.
Comment on area formula
It can be occasionally handy to know that the area of a triangle can be computed from the lengths of adjacent sides and the angle between them. The formula for sides of length "a" and "b" and angle β is ...
... A = (1/2)ab·sin(β)
Answer:
Step-by-step explanation:
Hello!
Research.
n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.
18, 23, 24, 22, 19, 27, 23, 26, 25
Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.
a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.
b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:
H₀: μ = 20
H₁: μ ≠ 20
This is a two-tailed test, meaning, you will have two critical regions.
d.
α: 0.05
Left critical value:
Right critical value:
e.
X[bar]= 23
S= 3
f.
Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.
I hope it helps!