Answer:
y= -1/4x+3/4
Step-by-step explanation:
You are given (-5,2) and x=4
This means that the slope is 4
When finding perpendicular, the slope is the reverse reciprocal of the original slope. The reverse of 4 is -4. The recirprocal is the opposite of -4/1, so it is -1/4.
Slope= -1/4
The slope-intercept form is y=mx+b where you are trying to find b.
Plug in the y value in (-5,2) for y
Plug in the slope for m
Plug in the x value in (-5,2) for x
y=2
m= -1/4
x= -5
y=mx+b
2= -1/4(-5)+b <u>Plug in everything</u>
2= 5/4+b <u>Multiply -1/4 and -5</u>
3/4=b <u>Subtract 5/4 from 2 and you get b</u>
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Since we have b now we can make an equation using it.
y=mx+b <u>Use the form</u>
y= -1/4x+3/4 <u>Plug in m and b</u>
Answer:
16.05% probability of 6 job applications received in a given week.
Step-by-step explanation:
When you have the mean during an interval, you should use the Poisson distribution.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Records show that the average number of job applications received per week is 5.9.
This means that 
Find the probability of 6 job applications received in a given week.
This is P(X = 6).
16.05% probability of 6 job applications received in a given week.
Answer:
Options c and d
Step-by-step explanation:
Given is a graph with period pi.
ii) The graph is discontinuous
iii) x intercepts are say (a) units to the right of y axis and repeats for every interval of pi.
Fix the function
a) y = sinx cannot be this graph because sinx is a continuous graph
b) y =cosx cannot be this graph because cosx is a continuous graph
e) y = sec x is undefined for the range (-1,1) since the given graph is defined in this interval, secx is not answer.
f)y = csc x is undefined for the range (-1,1) since the given graph is defined in this interval, cscx is not answer.
c) y=tanx is a discontinuous graph at x = odd multiples of pi/2
Hence the given graph can be of the form y =- tan (2x+a) which shows reflection over y axis,
d) y = cotx can also be this graph with adjustments for period and horizontal shift.
So answers are c and d
Solution:
We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).
<u>Finding the radius of the circle.</u>
- Diameter: 10 units
- Radius: 10/2 units = 5 units
<u>Creating the equation:</u>
- (x – h)² + (y – k)² = r²
- => (x + 6)² + (y – 2)² = 5²
The equation is (x + 6)² + (y – 2)² = 5².
Learn more: brainly.com/question/26573763
The expression for the balance (b) in terms of the number of years (t) can be written as
... b = 2000·2^(t/19) . . . . . . the amount grows exponentially, and is is doubled when t=19
Then for t=5, the balance is
... b = 2000·2^(5/19) ≈ 2400
The best choice is ...
... A. $2400
