6 apples were originally in the bag
Answer:
you saved 2.50 dollars
Step-by-step explanation:
10 times 0.25
Answer:
The answer is 0.31
Step-by-step explanation:
We can solve this problem as a binomial distribution function. Probability of selecting business mayors is p=0.4 and selecting non-business mayors is q=0.6.
Then selecting 2 busies mayors out of six is:
![P(x)=combination(6,2)*0.4^2*0.6^4\\P(x)=0.31](https://tex.z-dn.net/?f=P%28x%29%3Dcombination%286%2C2%29%2A0.4%5E2%2A0.6%5E4%5C%5CP%28x%29%3D0.31)
Answer:
There are 12 students in Miss Jacobs class.
Step-by-step explanation:
Divided 10.2 and 0.85
If you check your answer. 0.85 multiplied by 12 is 10.2
Answer:
The length of the diagonal of the rectangle is of
units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:
![h^2 = a^2 + b^2](https://tex.z-dn.net/?f=h%5E2%20%3D%20a%5E2%20%2B%20b%5E2)
Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is ![a = 12 - 9 = 3](https://tex.z-dn.net/?f=a%20%3D%2012%20-%209%20%3D%203)
The length has coordinates at
, so the length is ![b = -6 - (-13) = 7](https://tex.z-dn.net/?f=b%20%3D%20-6%20-%20%28-13%29%20%3D%207)
Diagonal:
![d^2 = a^2 + b^2](https://tex.z-dn.net/?f=d%5E2%20%3D%20a%5E2%20%2B%20b%5E2)
![d^2 = 3^2 + 7^2](https://tex.z-dn.net/?f=d%5E2%20%3D%203%5E2%20%2B%207%5E2)
![d^2 = 9 + 49](https://tex.z-dn.net/?f=d%5E2%20%3D%209%20%2B%2049)
![d^2 = 58](https://tex.z-dn.net/?f=d%5E2%20%3D%2058)
![d = \sqrt{58}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B58%7D)
The length of the diagonal of the rectangle is of
units.