Ok so you would take the number 6 and divide that by 1.50 since there are 6 plumes for 1.50. That is 25 cents per plum. But you want to buy 2 plums so multiply 25 by 2 which is 50 cents. Do the same for the apples,divide 3.00 by 5 which is 60 cents per apple but you want two apples so that is 1.20 for both apples. Then you have to figure out the cost of the plums and the apples so you add 50 cents to 1.20 and you get 1.70.
Answer:
a. .0554
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
The probability of success is .06.
This means that ![p = 0.06](https://tex.z-dn.net/?f=p%20%3D%200.06)
What is the probability of two successes in seven trials?
This is P(X = 2) when n = 7. So
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 2) = C_{7,2}.(0.06)^{2}.(0.94)^{5} = 0.054](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B7%2C2%7D.%280.06%29%5E%7B2%7D.%280.94%29%5E%7B5%7D%20%3D%200.054)
The correct answer is given by option a.
Answer:
Step-by-step explanation:
If length of the box = x
And width of the box = y
Then perimeter of the box = 2(length + width)
= 2(x + y)
Since, perimeter of the box is less than 30 inches.
2(x + y) < 30
x + y < 15
y < -x + 15
Since, this inequality has a sign of less than, line on the graph will be a dotted line.
y intercept of the dotted line y = 15 (by x = 0)
x intercept of the line x = 15 (by y = 0)
Constraints for the graph will be,
x > 0
y > 0
Now we can plot the dotted line by joining the x and y intercepts.
In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (6, 1)
m =
=
=
= -
→ A
We know that
the length of a circumference=2*pi*r
for r=8 ft
the length of a circumference=2*pi*8---------> 16π ft
if 2π radians (full circle)-------------------> has a length of 16π ft
3π/4 radians-------------------------------> X
X=3π/4*16π/2π-------------> X=6π<span> ft
the answer is
6</span>π ft