Reason 1
Given
Statement 2
4x=8(x-2)
4x = 8x - 16
4x - 8x = - 16
-4x = - 16
Reason 3
Combine like terms.
Reason 4
Divide both sides by the coefficient of x.
Apply the product rule to
7
11
7
11
.
(
2
7
)
2
⋅
7
2
11
2
(
2
7
)
2
⋅
7
2
11
2
Raise
7
7
to the power of
2
2
.
(
2
7
)
2
⋅
49
11
2
(
2
7
)
2
⋅
49
11
2
Raise
11
11
to the power of
2
2
.
(
2
7
)
2
⋅
49
121
(
2
7
)
2
⋅
49
121
Multiply
2
(
49
121
)
2
(
49
121
)
.
Tap for more steps...
(
2
7
)
98
121
(
2
7
)
98
121
Apply the product rule to
2
7
2
7
.
2
98
121
7
98
121
2
98
121
7
98
121
The result can be shown in multiple forms.
Exact Form:
2
98
121
7
98
121
2
98
121
7
98
121
Decimal Form:
0.36253492
…
0.36253492
…
(
2
7
)
2
⋅
(
7
1
1
)
2
(
2
7
)
2
⋅
(
7
1
1
)
2
Answer:
Step-by-step explanation:
Given
Required
Determine the distance covered in
The distance is calculated using:
This gives:
Convert to improper fraction
Answer:
99.7%
Step-by-step explanation:
Empirical rule formula states that:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 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 98.18 F and a standard deviation of 0.65 F
The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 F is
μ - 3σ
= 98.18 - 3(0.65)
= 98.18 - 1.95
= 96.23 F
μ + 3σ.
98.18 + 3(0.65)
= 98.18 + 1.95
= 100.13 F
Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 F which is within 3 standard deviations of the mean is 99.7%