The slope of given line in simplified form is 4
Further explanation:
Slope is defined as the steepness of any line.
Given
(x1,y1) = (-26,-37)
(x2,y2) = (-32,-61)
The formula of slope is given by:
Putting the values
The slope of given line in simplified form is 4
Keywords: Slope of line, Calculation of slope
Learn more about slope at:
#LearnwithBrainly
Answer:
b. 5/√21
Step-by-step explanation:
The sine is positive in quadrant II, so the cosecant will be also. The sine function never has a magnitude greater than 1, so the cosecant function (the reciprocal of the sine) never has a magnitude less than 1.
The only positive number with a magnitude greater than 1 among your answer choices is 5/√21, selection B.
_____
If you draw the triangle with hypotenuse 5 and side 2 along the x-axis, you find the Pythagorean theorem tells you the opposite side (parallel to the y-axis) has length ...
... O = √(5² -2²) = √21
Then the sine ratio is ...
... Sin = Opposite/Hypotenuse = (√21)/5
The cosecant function is the reciprocal of the sine function, so its value is ...
... csc(θ) = 1/sin(θ) = 1/((√21)/5)
... csc(θ) = 5/√21
Answer:
The probability of Dan making less than $255 is 0.5987 or 59.87%
Step-by-step explanation:
Given that:
Mean = μ = $240
SD = σ = $60
We have to find the probability that Dan will make less than $255
First of all, we have to find the z-score of 255
z-score is denoted by z and is given by the formula
Here,
x = 255
Putting the values
Now we have to look at the z-score table to find the probability of 0.25
P(x<255) = 0.5987
Converting into percentage
59.87%
Hence,
The probability of Dan making less than $255 is 0.5987 or 59.87%
