Answer:
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Step-by-step explanation:
We use the central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, a sample size larger than 30 can be approximated to a normal distribution with mean and standard deviation 
So
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Answer:
- 892 lb (right)
- 653 lb (left)
Step-by-step explanation:
The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...
Rcos(45°) +Lcos(75°) = 800
Rsin(45°) -Lsin(75°) = 0
Solving these equations by Cramer's Rule, we get ...
R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))
= 800sin(75°)/sin(120°) ≈ 892 . . . pounds
L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds
The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.
_____
This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...
(right, left) = w/sin(α+β)×(sin(β), sin(α))
Answer:
1/30 of an hour
Step-by-step explanation:
Answer:
Lemmy ; 2 7/8 miles
Step-by-step explanation:
Given that :
Distance walked by Lemmy:
Saturday = 3 1/2 miles
Sunday = 4 3/4 miles
Total distance walked by Lemmy:
3 1/2 + 4 3/4
7/2 + 19/4
(14 + 19) / 4
33 / 4
= 8 1/4
Miles walked by Ronnie : 5 3/8
Lemmy walked farther because : 8 1/4 > 5 3/8
Number of distance walked farther than Ronnie :
8 1/4 - 5 3/8
33/4 - 43/8
(66 - 43) / 8
= 23/ 8
= 2 7/8 miles
Answer:
18
Step-by-step explanation:
y=mx + b
m is the slope.
Therefore, 18 should be the slope
