9514 1404 393
Answer:
sin(θ) ≈ -0.92
cos(θ) ≈ 0.38
tan(θ) = -2.40
Step-by-step explanation:
Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...
r² = (5)² + (-12)²
r² = 169
r = √169 = 13
The trig relations for a point on the terminal ray are ...
(x, y) = (r·cos(θ), r·sin(θ))
Then ...
sin(θ) = y/r = -12/13 ≈ -0.92
cos(θ) = x/r = 5/13 ≈ 0.38
tan(θ) = y/x = -12/5 = -2.40
Answer:
$8036.784
Step-by-step explanation:
It is easy
The area of carpet is 13.4×24=321.6sq meter
Now, for 1 sq. meter the cost is $24.99
So for 321.6sq.meters, 321.6×24.99
=$8036.784
Answer:
0.229
Step-by-step explanation:
Given that the difference between the two sample means follows anormal distribution with a mean of11.00 and standard deviation equal to1.4387
A statistician is interested in the effectiveness of a weight-loss supplement. She randomly selects two independent samples. Individuals in the first sample of size n1 = 24 take the weight-loss supplement. Individuals in the second sample of size n2 = 21 take a placebo. Individuals in both samples follow identical exercise and diet programs. At the end of the study, the statistician measures the weight loss (in percent) of each participant.
We find that mean difference actual = 13-2 = 11
Probability that difference >12 =P(Z>
)
=P(Z>0.742)=.0.229