Answer:
Step-by-step explanation:
Given the sequence :
23, 19, 13, 5, -5.......
From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.
19 - 23 = -4
13 - 19 = -6
5 - 13 = -8
-5 - 5= -10
Hence an constant difference of - 2 after each successive difference.
Hence, this is a quadratic sequence
With the formula
an² + bn + c
Answer:
4/5
Step-by-step explanation:
Hope this helped :)
Answer:
53 hotdogs
Step-by-step explanation:
1.50 x 64 = 96
202 - 96 = 106
106 ÷ 2 = 53
Answer:
x-intercept: (-2,0); y-intercept: (0,4)
Step-by-step explanation:
First, focus on the y-axis. This axis is described by the equation x = 0. From the graph we see that the line crosses the y-axis at (0,4). This is the y-intercept.
Next, focus on the x-axis, which is described by y = 0. The line crosses the x-axis at (-2,0). This is the x-intercept.
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%
