Terminating decimals have a finite number of digits after the decimal point. Repeating decimals have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.

5 0

2 years ago

1) State the amplitude, period, phase shift, vertical shift and graph

bogdanovich [222]

Answer:

See answers and explanations below (along with a visual graph)

Step-by-step explanation:

For the function $y=acos(b(x+c))+d$ :

Amplitude: $|a|$

Period: $\frac{2\pi}{|b|}$

Phase shift: $\frac{-c}{b}$

Vertical shift: $d$

Therefore, for $y=2cos(\frac{2}{3}(\theta+\pi))-1$ :

Amplitude: $|a|=|2|=2$ , which is 2 units above and below the midline (see d)

Period: $\frac{2\pi}{|b|}=\frac{2\pi}{|\frac{2}{3}|}=\frac{2\pi}{\frac{2}{3}}=3\pi$ , so the cycle will repeat every 3π units

Phase shift: $\frac{-c}{b}=\frac{-\frac{2\pi}{3} }{\frac{2}{3} }=-\pi$ , or π units to the left

Vertical shift: $d=-1$ , or 1 unit down

3 0

2 years ago

An airline company is considering a new policy of booking as many as 191 persons on an airplane that can seat only 180. (Past st

notka56 [123]

Answer:

1.3559644*10^-^5

Step-by-step explanation:

From the information given we extract the following data

Total Number of Trials (N) = 191

Required Value (x) = 181 (notice it is not 180 since at that value we have enough passengers)

Odds of success (p) = 0.85

Using the binomial formula for calculating probability, i.e.

$P(x; N, p) = nCx * p^x *(1-p)^{N-x}$

Inputting the values

$P(181; 191, 0.85) = 191C181 *0.85^{181} *(1-0.85)^{191-181} \\ P(181; 191, 0.85) = 1.3559644*10^-^5$

3 0

3 years ago

Evaluate -5-15+4+15

defon

Answer:

-1

Step-by-step explanation:

-5-15+4+15

=-20+19

=-1

7 0

3 years ago

Read 2 more answers