Answer:
Step-by-step explanation:
We are given the following in the question:
We treat adult having blood type A as a success.
P(Blood type A) =
Then the number of Children of Juan and Maria who have blood type A follows a binomial distribution as there are
- n independent trial.
- Each trial have to outcomes(Blood type A or not)
- Probability of success is same for each success
Here,
where n is the total number of observations, x is the number of success, p is the probability of success.
Thus, for the given binomial distribution,
<h3>
Therefore she can cut 8 feet long log.</h3>
Step-by-step explanation:
Given,
The lengths in feet of three pieces of timber are 48,72 and 40. The sawmill operator needs to cut the timber into logs of equal length with no waste.
The HCF of 48 , 72 and 40 is =8
Therefore she can cut 8 feet long log.
At first, I thought this was going to be a dog of a bear of a problem,
but then I fixated it with my steely burning gaze and it fell apart for me.
The volume of a pyramid is (1/3) (base area) (height)
Each of these pyramids has the same base area and the
same height, so ...
Volume of the lower pyramid = (1/3) (base area) (height)
Volume of the upper pyramid = (1/3) (base area) (height)
Combined volume of both pyramids = (2/3) (base area) (height) .
Now, how do the pyramids relate to the rectangular prism ?
Their base area is (length x width) of the prism, and
their height is (1/2 the height) of the prism.
From here, we'll work with the dimensions of the prism ... L, W, and H .
Combined volume of the pyramids = (2/3) (L x W) (1/2 H)
= (1/3) (L x W x H) .
Volume of the prism = (L x W x H)
The pyramids occupy 1/3 the volume of the prism.
The ratio is 1/3 .
Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.
The total pounds is 50, therefore
x + y + z = 50 (1)
The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340 (2)
There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10 (3)
Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40 (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310 (5)
From (4),
z = 40 - 2y (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20
Answer:
Peanuts: 20 pounds
Cashews: 10 pounds
Brazil nuts: 20 pounds
0.6%. 100% divided by 2,500 people means each person is worth 0.04%. 0.04 times 15 is 0.6
