The GCF of 24 and 48 is 24.
48 / 24 = 2
24 / 24 = 1
Answer:
Yes, it would be statistically significant
Step-by-step explanation:
The information given are;
The percentage of jawbreakers it produces that weigh more than 0.4 ounces = 60%
Number of jawbreakers in the sample, n = 800
The mean proportion of jawbreakers that weigh more than 0.4 = 60% = 0.6 = =p
The formula for the standard deviation of a proportion is
Solving for the standard deviation gives;
Given that the mean proportion is 0.6, the expected value of jawbreakers that weigh more than 0.4 in the sample of 800 = 800*0.6 = 480
For statistical significance the difference from the mean = 2× = 2*0.0173 = 0.0346 the equivalent number of Jaw breakers = 800*0.0346 = 27.7
The z-score of 494 jawbreakers is given as follows;
Therefore, the z-score more than 2 × which is significant.
Answer:
triangle; area = 90 ft2
Step-by-step explanation:
THe type of two dimensional solid created by a vertical cross section of the cone that passes through the apex is a triangle, as you can see in the picture, if you draw a line that cuts the cone in half passing through the apex it would just be a triangle, and the area of the cross section is given by the formula:
Since you have the radius of the base of the cone, you need the diameter to calculate the area, the diameter is given by the next formula:
Now you just put your values into the formula of the triangle:
So the area of the triangle formed is:
The solution is where the lines intersect.
So the one where the lines intersect at (4,-1) is the 2nd one
Volume without holes = 3 x 6 x 11 = 198 cubic inches.
Calculate volume of one hole:
3.14 x 0.5^2 x 3 = 2.355 cubic inches
There are 3 holes: 3 x 2.355 = 7.065
Subtract volume of the holes from the brick:
198 - 7.065 = 190.935 cubic inches.
Rounded to the nearest tenth: 190.9 cubic inches.