Answer:
The maximal margin of error associated with a 95% confidence interval for the true population mean is 2.238.
Step-by-step explanation:
We have given,
The sample size n=42
The sample mean
The population standard deviation
Let be the level of significance = 0.05
Using the z-distribution table,
The critical value at 5% level of significance and two tailed z-distribution is
The value of margin of error is
The maximal margin of error associated with a 95% confidence interval for the true population mean is 2.238.
Answer:
Step-by-step explanation:
First, you need to make these conversions:
(Remember that )
4,000 cm to m:
700 cm to m:
You can observe in the figure that it is formed by two rectangles and a semi-circle.
To calculate the perimeter, you need to add the exterior measures of each figure.
Remember that the circumference of a circle is:
Where "r" is the radius
Therefore, the perimeter is:
To find the area of the indoor sports exhibition, you need to add the areas of the rectangles and the area of the semi-circle.
The area of a rectangle can be calculated with:
Where "l" is the lenght and "w" is the width.
The area of a semi-circle can be calculated with:
Where "r" is the radius.
Then, the area of the indoor sports exhibition is:
Answer:
A knife costs £2.88.
Step-by-step explanation:
Create two equations using what you know to show the problem.
k = 2s
12k + 8s = 46.08
Substitute the first equation in for k, then isolate s to find how much spoons cost.
12(2s) + 8s = 46.08
24s + 8s = 46.08
32s = 46.08
s = 1.44
A spoon costs £1.44. To find the price of a knife, double the cost of a spoon:
1.44 * 2 = 2.88
A knife costs £2.88.
The area of the square is 288 square units.
Step-by-step explanation:
Step 1:
The triangle has a hypotenuse measuring 12 units.
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Since the triangle intersects with the center of the square, the other two sides are equal in length.
Assume x is the length of both the unknown sides.
So
x is only half the side length of the square so the side length of the square is units. So the side length of the square is 16.9704 units.
Step 2:
The area of a square is the square of the side length.
The area of the square square units.
Rounding this off, we get that the area of the square is 288 square units.