Answer: 396/100
Step-by-step explanation:
Answer:
b. 2.28%.
Step-by-step explanation:
Mean temperatue (μ) = 1000°F
Standard Deviation (σ) = 50
°F
For any temperature value, X, the z-score is given by:
For X= 900°F
A z-score of -2.0 corresponds to the 2.28-th percentile of a normal distribution. Therefore, the probability that X<900 is:
The equation of the line is y = -7/5x + 56/5
<h3>Equation of a line</h3>
The formula for expressing equation of a line is given as y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinates A(8, 0) and (3, 7)
Determine the slope
Slope =7-0/3-8
Slope = -7/5
For the intercept
0 = -7/5(8) + b
b = 56/5
Hence the equation of the line is y = -7/5x + 56/5
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Answer is
Isolate the variable by dividing each side that don’t contain a variable
X = -2/3
Decimal form -0.6
Answer:
x = 27, and y = 47.
Step-by-step explanation:
AB is a line, so the measures of the angles measuring
2x + 1, 3x + 10, and 8/9 x + 10
add to 180 degrees. We can use that fact to find x.
2x + 1 + 3x + 10 + 8/9 x + 10 = 180
Add like terms on the left side except for the faction.
5x + 8/9 x + 21 = 180
Multiply both sides by 9.
45x + 8x + 189 = 1620
Add like terms on the left side. Subtract 168 from both sides.
53x = 1431
Divide both sides by 53.
x = 27
The angle measuring 3x + 10 is vertical with the angle that is made up of the measures y - 3 and y. Therefore, the sum of the measures y - 3 and y equals the measure 3x + 10. We know x, so we can find 3x + 10.
3x + 10 = 3(27) + 10 = 91
Now we set the sum of y - 3 and y equal to 91 and solve for y.
y - 3 + y = 91
2y - 3 = 91
2y = 94
y = 47
x = 27, and y = 47.
