The cat travels 0.7 times as far as the dog on each stride, but it takes 1.3 times as many strides in a given time interval. Hence the cat's distance relative to the dog's is 0.7*1.3 = 0.91. This is less distance than the 1 unit the dog covers in the same time.
The dog will win the race.
7.5 %
Step-by-step explanation:
We by finding how far from the mean the 999 volume caps are, using z score;
Z = (x – μ) / σ
Z = (999 – 998) / 7
Z = 0.143
We use the z-table to find the confidence levels;
= 85%
= 0.85
Since we are finding proportion of bottles have volumes greater than 999
mL;
1 – .85 = .15
0.15/2 = 0.075
= 7.5%
Answer:
x = 10
Step-by-step explanation:
1. Add 4 to both sides of the equation
2. Simplify
3. Subtract x from both sided of the equation
4. Simplify
Therefore, x = 10
Hope this helps :)
Answer:
3/7
Step-by-step explanation:
The number of possible results are;
1, 2 , 3 , 4 , 5, 6 , 7 = 7
odd numbers here are;
1, 3 , 5 and 7
non-odd numbers are 2, 4 and 6
So the section not labeled with an odd number is 3
Hence the probability here is that;
3/7
Answer:
Step-by-step explanation:
The <u>width</u> of a square is its <u>side length</u>.
The <u>width</u> of a circle is its <u>diameter</u>.
Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.
<u>Formulas</u>
If the diameter is equal to the side length of the square, then:
Therefore:
So the ratio of the area of the circle to the original square is:
Given:
- side length (s) = 6 in
- radius (r) = 6 ÷ 2 = 3 in
Ratio of circle to square:
