Answer:

Step-by-step explanation:
It is already in its simplest form. When you simplify a square root, you break the number down into prime numbers.
For example,
can be changed into
. Since 2 is in there twice, you'd take it out and make
.
13 is already a prime number, so you cannot simplify it further.
7 spaces total
7 × 1cm = 7cm
6 box cars
6 × 7cm = 42cm
1 engine
1 × 12cm = 12cm
7cm + 42cm + 12 cm = 61cm
The train is 61cm long.
So first write an inequality
360 + 90m > 810
-360 -360
90m > 450
÷90 ÷90
m > 5
Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean total cholesterol level of all males.
Number of sample, n = 355
Mean, u = 185 mg
Standard deviation, s = 16
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
185 +/- 1.96 × 16/√355
= 185 +/- 1.96 × 0.849
= 185 +/- 1.66404
The lower end of the confidence interval is 185 - 1.66404 =183.336
The upper end of the confidence interval is 185 + 1.66404 = 186.66
Therefore, with 95% confidence interval, the mean total cholesterol level of all males is between 183.336 mg and 186.66 mg
Answer:
Ellipse C
Circle E
Sphere B
Great Circle D
Triangle A
Step-by-step explanation:
Cross sections are slices through a 3d figure to create a 2d shape. A cone creates a circle and triangle. A sphere creates a great circle. A cylinder creates an ellipse. Rotating a semi circle around an axis creates a sphere.