Answer: c) All of the above
Step-by-step explanation:
a) X=the number of color-blind males of the randomly chosen 20 individuals
Thus, X is binomial with n = 20 and p = 0.08.
Y represents the number of color-blind females of the randomly chosen 40 individuals
Thus, Y is also binomial with n = 40 and p = 0.01.
b) However, Z represents the total number of color-blind which is 60. The probability of being color-blind is not equal among all individuals as it is for X (0.08) and Y (0.09). Thus, Z is not binomial.
In conclusion both a and b are correct, which gives the correct answer number c) all of the above.
Answer:
The equation should be 2.5x+1.8=59.3
Step-by-step explanation:
First, subtract the 1.8 dollars from the 59.3. You will get 57.5. Divide it by 2.5 and you will get the number 21 as x.
1) 1/5x + 3=0
1/5x=-3
x=(-3)(5)=-15
2)6x-7=0
6x=7
x=7/6=1.17
3) -8/3x+9=0
-8/3x=-9
-8x=-27
x=27/8=3.375
Answer:
"A - $32.50"
Step-by-step explanation:
So, 0.40 per share for 100 shares is:
Decrease of 0.40 * 100 = $40
Also, 0.25 per share for 30 shares is:
Increase of 0.25 * 30 = $7.5
So, decreased by 40 and increased by 7.5 means Total Decrease of 40 - 7.5 = $32.5
Answer choice A is right.
9514 1404 393
Answer:
- after 7 minutes
- 19,600 feet
Step-by-step explanation:
Here's the "pencil and paper" solution:
The two altitude equations are ...
- y = 41300 -3100x
- y = 2800x
They can be solved by setting the expressions for y equal to each other.
2800x = 41300 -3100x
5900x = 41300
x = 41300/5900 = 7
y = 2800·7 = 19600
The planes will both be at 19,600 feet after 7 minutes.
_____
Attached are solutions from a graphing calculator, and from a calculator app that is able to solve systems of equations.
I find the graphing calculator the easiest to use. I can enter equations using a keyboard, and the solution is displayed in a form that can be copied and pasted.
The calculator app on my phone requires equation entry using a small on-screen keyboard, with multiple key hits required to access some functions. (y is obtained by hitting the x key twice, for example.)
The "pencil and paper" solution is not so difficult, but requires a certain amount of writing (or good short-term memory). The solutions for x and y require separate calculations, whereas the other methods give both x and y at the same time.