For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.
Using the Pythagorean theorem we can calculate the diagonal of the square:
X = SQRT(5^2 + 5^2)
X = SQRT(25 + 25)
X = SQRT(50)
X = 7.07
The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .
Answer: 0.0930
Step-by-step explanation:
As per given , we have
H0: μcoffee = 6
Ha: μcoffee < 6
She finds z = −1.68 with one-sided P-value P = 0.0465.
The P-value for two-tailed test is calculated by :

For z= -1.68 , we have

![=2(1-P(z\leq1.68))\ \ [\because\ P(Z>z)=1-P(Z\leq z)]](https://tex.z-dn.net/?f=%3D2%281-P%28z%5Cleq1.68%29%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3Ez%29%3D1-P%28Z%5Cleq%20z%29%5D)
Hence, the correct two-sided P-value for z = −1.68 is 0.0930 .
25 because 5 (the number of sticks) times 5 (the number of houses) equals 25
It will cost about $0.72 for three pair of shoes assuming shoe box is rectangular shape having 12 square inches of packing paper.
Step-by-step explanation:
- Assuming a shoe box rectangle in shape and the same size is required.
- Length of rectangle box assuming to be 4 inches.
- Width of rectangle box assuming to be 3 inches.
- as we know area of rectangle is Length * Breath(Width) .
- 12 square inches is the total packing paper required for each box.
- To cover cost of three pairs of shoes $0.02 per square inch.
- Each box would cost about 12 square inches * 0.02 pr square inches.
- 0.24 square inches of packing paper will be required.
- let three pairs of shoes be x
- Total pairs of shoes would be= (12 * 0.02)*x
- Answer would be for 3 pairs of shoes = 0.24*3 = 0.72 square inches.