The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444
Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
Answer:
1.38
Step-by-step explanation:
The point estimate for the population standard deviation of the length of the walking canes is given as the squareroot of variance. Since variance is provided as 1.9 then the standard deviation will be

Therefore, rounded off to two decimal places, the standard deviation is approximately 1.38
Answer:
60 sold
Step-by-step explanation:
4/5 of 75 new houses sold this year comes out to 60 new houses sold. Just multiply the total (75 houses) by this fraction (4/5).
Answer:
D
Step-by-step explanation:
That is where the line meets.
Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
<h3>What is Conditional Probability?</h3>
Conditional probability is the probability of one event happening, considering a previous event. The formula is:

In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: Positive test result.
The probability of a positive test result is composed by:
- 99% of 10%(truly pregnant).
Hence:

The probability of both a positive test result and pregnancy is:

Hence, the conditional probability is:

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
You can learn more about conditional probability at brainly.com/question/14398287