Simplify 4^3 x 4^5 a. 16x15 b. 16^8 c. 4^15 d. 4^8
1 answer:
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Answer:
81.85%
Step-by-step explanation:
Given :
The average summer temperature in Anchorage is 69°F.
The daily temperature is normally distributed with a standard deviation of 7°F .
To Find:What percentage of the time would the temperature be between 55°F and 76°F?
Solution:
Mean =
Standard deviation =
Formula :
Now At x = 55
At x = 76
Now to find P(55<z<76)
P(2<z<-1)=P(z<2)-P(z>-1)
Using z table :
P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185
Now percentage of the time would the temperature be between 55°F and 76°F =
Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.
The equation of the parallel line in slope-intercept form is;
y = x -
Step-by-step explanation:
Let us revise some facts about parallel lines
The equations of two parallel lines have:
- Same slopes
- Different y-intercept
The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept
The given line has equation 5x - 2y = 10
Put it in the form of y = m x + b to find its slope
∵ 5x - 2y = 10
- Subtract 5x from both sides
∴ -2y = 10 - 5x
- Divide to sides by -2
∴ y = -5 + x
∴ y = x - 5
- The value of m is the coefficient of x
∴ m =
∴ The slope of the given line is
∵ Parallel lines have same slopes
∴ The slope of the parallel line is m =
- Substitute the value of m in the form of the equation
∴ The equation of the parallel line is y = x + b
To find b substitute x and y in the equation by the coordinates of any point lies on the line
∵ The parallel line passes through point (3 , -5)
- Substitute x and y by the coordinates of the point (3 , -5)
∵ x = 3 and y = -5
∴ -5 = (3) + b
∴ -5 = + b
- Subtract from both sides
∴ b =
∴ The equation of the parallel line is y = x +
∴ The equation of the parallel line is y = x -
The equation of the parallel line in slope-intercept form is;
y = x -
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/8628615
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