Answer:
0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.
Step-by-step explanation:
The following information is missing:
The standard deviation of population is 100.
We are given the following information in the question:
Population mean, μ = 502
Standard Deviation, σ = 100
Sample size, n = 90
Standard error =

Formula:

P(test score within 10 points)


0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.
In 4 seconds, number of beats = 28
In 1 sec., it is = 28/4 = 7
Now, In 30 seconds, it would be: 30 * 7 = 210
In short, Your Answer would be: 210 beats
Hope this helps!
Answer:
D)the time (in hours) a 4-year-old spends unsupervised per day
Step-by-step explanation:
Given that 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe
X - the time (in hours) a 4-year-old spends unsupervised per day
X is N(3,1.8)

Answer:
There were 49 questions on this Geometry test.
Step-by-step explanation:
You can start by setting up a proportion:
x = total number of questions on Geometry test
= 
Now, to solve for x, cross multiply:
75.51x = 3700
Finally, isolate x and solve:
x = 49.0001324328
This is very close to 49.
The quick way to dispute something like this is to simply do the calculation and then create a ratio.
Cube One (Large Cube)
The formula for a cube is V = e^3
e = the measurement of an edge. In this case.
e = 10 cm
V = e^3
V = 10^3 = 10*10*10
V = 1000 cm^3
Cube 2 (Small Cube)
V = e^3
e = 5 cm
V = 5*5*5
V = 125 cm^3
Ratio
Large Cube / Small Cube = 1000 / 125 = 8/1.
The difference in size is 8 to 1 not 2 to 1.
Explanation
He's right if he sticks to one side. The ratio of one side of the large cube to the small one is 2 to 1. But once you put that into the formula for volume, three sides are multiplied together and that 2 shows up everytime you multiply the sides together.