(x, y) = ( cos 45, sin 45) =
![=\text{ (}\frac{\sqrt[]{2}}{2}\text{ , }\frac{\sqrt[]{2}}{2}\text{ )}](https://tex.z-dn.net/?f=%3D%5Ctext%7B%20%28%7D%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%5Ctext%7B%20%2C%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%5Ctext%7B%20%29%7D)
The correct option is A
Answer:
0.1587
Step-by-step explanation:
Here, mean=μ=100 and standard deviation=σ=16.
We have to find P(average MDI scores of 64 children > 102)=P(xbar>102).
n=64
μxbar=μ=100
σxbar=σ/√n=16/√64=16/8=2
P(xbar>102)=P((xbar-μxbar)/σxbar>(102-100)/2)
P(xbar>102)=P(z>1)
P(xbar>102)=P(0<z<∞)-P(0<z<1)
P(xbar>102)=0.5-0.3413
P(xbar>102)=0.1587
Thus, the probability that the average is greater than 102 is 15.87%
This question can be also asked as what is the scientific notation of the number 240,000. The scientific notation is written as <span>a whole number multiplied by the power of ten. It should be written as follows:
2.4 x 10^5
Hope this helps. Have a nice day.</span>
Answer:
See explanation
Step-by-step explanation:
Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,
If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so
Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.
<span>For chess club:
y1 = 16 + 1*x where y1 = total number of members after x months
.
For film club:
y2 = 4 + 4*x where y2 = total number of members after x months.
y1 = y2 when:
16 + x = 4 + 4x
3x = 12
x = 4 months
Answer: C. 4 months.</span>
