You can use this formula <span>P(AorB) = P(A) + P(B) - P(AandB)
Given:
35 LG (14 F & 21 M)
44 SB (28 F & 16 M)
Req:
- the probability that it is a female (F) or a sky blue (SB)
Sol:
</span>P(F or SB) = P(F) + P(SB) - P(F and SB)
= [(14 F + 28 F)/(35 + 44)] + [(44 SB)/(35 + 44)] - [(28 F)/(35 + 44)]
= 53.16 + 55.70 - 35.44
= 73.42%
You have to deduct 28 female parakeets from 44 sky blue parakeets because the 28 parakeets are already accounted for in the female parakeets. You can also think of how many ways you can choose a female parakeet and a sky blue parakeet. Add all female parakeets (14 + 28) = 42. Sky blue parakeet equaled to 44. Minus the 28 female parakeets included in the sky blue parakeet to avoid double counting. 42 + 44 - 28 = 58 divided by 79 (35 + 44) total parakeets = 73.42%
Answer:
And rounded up we have that n=1068
Step-by-step explanation:
We have the following info given:
the confidence level desired
represent the margin of error desired
The margin of error for the proportion interval is given by this formula:
(a)
The confidence level is 95% or 0.95, the significance is 
and the critical value for this case using the normal standard distribution would be 
Since we don't have prior information we can use 
as an unbiased estimator
Also we know that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
Answer: -2.145
Step-by-step explanation:
(3.2+4x)+(18.25+6x)=
Simplifying
(3.2 + 4x) + (18.25 + 6x) = 0
Remove parenthesis around (3.2 + 4x)
3.2 + 4x + (18.25 + 6x) = 0
Remove parenthesis around (18.25 + 6x)
3.2 + 4x + 18.25 + 6x = 0
Reorder the terms:
3.2 + 18.25 + 4x + 6x = 0
Combine like terms: 3.2 + 18.25 = 21.45
21.45 + 4x + 6x = 0
Combine like terms: 4x + 6x = 10x
21.45 + 10x = 0
Solving
21.45 + 10x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21.45' to each side of the equation.
21.45 + -21.45 + 10x = 0 + -21.45
Combine like terms: 21.45 + -21.45 = 0
0 + 10x = 0 + -21.45
10x = 0 + -21.45
Combine like terms: 0 + -21.45 = -21.45
10x = -21.45
Divide each side by '10'.
x = -2.145
Simplifying
x = -2.145
H(t) = f(t) - g(t)
= 500(1.2)^t - 380(1.15)^t
Taking out the greatest common factor, which is 20:
= 20[(25)(1.2)^t - (19)(1.15)^t]
This is the third choice.
Note that you cannot subtract the bases of the exponents, for example (1.2^t - 1.15^t) cannot be simplified into something like 0.05^t.
Answer:
B) 23
Step-by-step explanation:
Table: <u> Algebra | No algebra | Total</u>
Physics | 4 Step 1: 8 12
No physics |Step 2: 15
Total | 19 30
We look for the number of people who are in algebra and no physics or physics and no algebra.
1. 12 - 4 = <em>8</em>
2. 19 - 4 = <em>15</em>
3. We find the total of those numbers: <em>15 + 8 =</em> 23
