Answer:
the correct answer is d. x^3
Answer:
A. Because he doesn’t like to eat Chinese food too much in a short period of time, p is not really the same for each trial and so we cannot use the binomial distribution to calculate the desired probability.
Step-by-step explanation:
As it is mentioned in the question that he doesn't like the Chinese too much in a very short interval so he prefers various other foods for dinner
So now we have to determine the probability for the next 7 days
So based on the options mentioned, we prefer option A as we do not use the binomial distribution here as it shows only success results that are not confirmed in the given case
Therefore, the correct option is A.
The first step would be to notice that 80 pennies= 1/6 of the penny bank, since 1/3=2/6 and 2/6+1/6=3/6 or 1/2. Since 80 pennies make up 1/6 of the bank then 80 times 6 would make up the whole bank. Final answer - 480 pennies
Answer:
The trigonometric ratios are presented below:
![\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cot \theta = \frac{BC}{AC}](https://tex.z-dn.net/?f=%5Ccot%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
![\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BBC%7D)
![\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}](https://tex.z-dn.net/?f=%5Ccsc%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BAC%7D)
Step-by-step explanation:
From Trigonometry we know the following definitions for each trigonometric ratio:
Sine
(1)
Cosine
(2)
Tangent
(3)
Cotangent
(4)
Secant
(5)
Cosecant
(6)
Where:
- Adjacent leg.
- Opposite leg.
- Hypotenuse.
The length of the hypotenuse is determined by the Pythagorean Theorem:
![h = \sqrt{x^{2}+y^{2}}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%2By%5E%7B2%7D%7D)
If
and
, then the trigonometric ratios are presented below:
![\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cot \theta = \frac{BC}{AC}](https://tex.z-dn.net/?f=%5Ccot%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
![\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BBC%7D)
![\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}](https://tex.z-dn.net/?f=%5Ccsc%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BAC%7D)
Racket : 94
balls : 12.50
warm ups : 34
shorts : 19.95
shoes : 44.50
total with tax : 204.95 + .05(204.95) = 204.95 + 10.25 = 215.20
20 per lesson for 12 lessons : 20 * 12 = 240
12 miles 1 way....thats 24 miles round trip, at 0.42 per mile : 24(0.42) =
10.08.....lessons and mileage : 240 + 10.08 = 250.08
for a total of : 215.20 + 250.08 = 465.28 <==