Point M represents the opposite of -
1 answer:
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Answer:
0.5000
Step-by-step explanation:
According To The Question,
The Area under the Standard Normal Curve, We Can Use the Statistical Tables , That Reported Area As P(z < a) .
Thus, We need to use the following Relationship.
- P(z > a) = 1 - P(z < a)
Now solve, P(z > 0) = 1 - P(z < 0) ⇔ 1 - 0.5000 ⇔ 0.5000
(Diagram, Please Find in Attachment)
To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
- The distance between Tom and Jimmy's home is
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Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
- 52 × (4 + t) = 70 × t
52 × 4 = 70 × t - 52 × t = 18 × t
The time it take Jimmy to reach the café, <em>t</em> = minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + ) + 70 ×
= 1,617.
- The distance between Tom and Jimmy's home = 1,617.
meters
Learn more about simultaneous equations here:
Answer:
The domain is (-∞,∞) and range is (k,∞)
Step-by-step explanation:
The graph is given as .
When x =0, we have f(x) = y intercept
Consider the exponential function y = .
This is defined for domain all real numbers and range = (0,infinity) for all positive a.
This function is transformed into our function by horizontal shift of h units to left and vertical units of k units up.
i.e. Y = y-k and X = x-h
Since x has domain as set of all real numbers X also set of real numbers
So domain is (-∞,∞)
Since range of original graph is (0,∞), we have Y minimum value as k and max as infinity.
Range = (k,∞)