Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
_____
The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
NOM = STR
answer is A. first one
1. My number has two digits.
- 59 is a two-digit number. ✔
2. Double my number is less than 150.
- Double of 59 is 118, which is less than 150. ✔
3. I am not divisible by 12.
- Since 59 is an odd number, hence it is not divisible by 12. ✔
4. My digits are different from each other.
- The digits 5 and 9 are different. ✔
5. The second digit in my number is divisible by an odd number.
- 9 is divisible by an odd number, i.e. 3. ✔
6. My first digit is less than my second digit.
7. My digits add up to 14.
Therefore, the required number is 
.
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
<h3>What do you mean by standard deviation?</h3>
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
WE have been given that SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points.
The solution as follows;
Let be X: scores of SAT
P(X ≥ x) = 0.9
P((X - 500)/100 ≥ (x - 500)/100) = 0.9
P(Z ≥ z) = 0.9
z = 1.28
1.28 = (x - 500)/100
128 + 500 = x
x = 628
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
Learn more about standard deviation and variance:
brainly.com/question/11448982
#SPJ1
