1. The sum of b and ninety-eight
Answer:
1.35%
Step-by-step explanation:
Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 15. Using the empirical rule, what ? Please do not round your answer.
Empirical rule formula states that:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
We don't know the number of Standard deviation yet , hence:
Mean = 104
Standard deviation = 15.
At least 59
Hence:
104 - 15x = 59
104 - 59 = 15x
45 = 15x
x = 45/15
x = 3
Hence, At least 59 is 3 standard deviations away from the mean on one side of the distribution thus,
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
100% - 99.7%
= 0.003
Since it is on one side of the distribution:
= 1.5% - 0.3%
= 0.015 - 0.0015
= 0.00135
Converting to percentage
= 1.35%
The percentage of IQ scores that are at least 59 is 1.35%
148.3 - (-4.8) =
148.3 + 4.8 =
153.1 ft <== ur answer
Answer:
never, it will always be x²+6x+9
Step-by-step explanation:
if you expand (x+3)² you will always get:
x² + 3x + 3x + 9, which simplifies to x² + 6x + 9
The expression for the area of frame is 4x² + 24x + 35
<h3>What is Area of rectangle?</h3>
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.
Here, Old length of photograph = 5 inch
Old width of photograph = 7 inch
Now, length of new photograph = (5 + 2x) inch
width of new photograph = (7 + 2x) inch
Now, Area of frame with new dimension = Length X breadth
= (5+2x) X (7+2x)
= 5(7+2x) + 2x(7+2x)
= 35 + 10x + 14x + 4x²
= 4x² + 24x + 35
Thus, the expression for the area of frame is 4x² + 24x + 35.
Learn more about Area of rectangle from:
brainly.com/question/20693059
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