Answer:
2.5%
Step-by-step explanation:
The percentage of people taking the test who are above 698 is ___%
Empirical rule formula states:
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
From the question, we have:
Mean of 514 and a Standard deviation of 92
Hence:
μ ± xσ
514 ± 92x = 698
514 + 92x = 698
92x = 698 - 514
92x = 184
x = 184/92
x = 2
Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:
100 - 95% /2
= 5/2
= 2.5%
The percentage of people taking the test who are above 698 is 2.5%
Answer:
x = 2
Step-by-step explanation:
5x - 6 = 4
add 6 to each side
5x = 10
divide each side by 5
x = 2
Answer:
both decrease
Step-by-step explanation:
mean before the 4th kitten = 153
mean after the 4th kitten = 129
<em>hence mean decreases</em>
median before the 4th kitten= 153
median after the 4th kitten= 150
<em>hence median decreases</em>
<span>Simplifying
8z + 3z = 8
Combine like terms: 8z + 3z = 11z
11z = 8
Solving
11z = 8
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Divide each side by '11'.
z = 0.7272727273
Simplifying
z = 0.7272727273</span>