Answer:
3/4 cup
Step-by-step explanation:
1 - 3/4 = 1/4
1/2 = 2/4
2/4 + 1/4 = 3/4
Answer:
-4
Step-by-step explanation:
Answer: (14.4, 17.2)
Step-by-step explanation: We are to construct a 98% confidence interval for mean household usage of electricity.
We have been given that
Sample size (n) = 872
Sample mean (x) = 15.8
Population standard deviation (σ) = 1.8
The formulae that defines the 98% confidence interval for mean is given below as
u = x + Zα/2 × σ/√n...... For the upper limit
u = x - Zα/2 × σ/√n...... For the lower limit
Zα/2 = critical value for a 2% level of significance in a two tailed test = 2.33
By substituting the parameters we have that
For upper tailed
u = 15.8 + 2.33 × (1.8/√872)
u = 15.8 + 2.33 (0.6096)
u = 15.8 + 1.4203
u = 17.2
For lower tailed
u = 15.8 - 2.33 × (1.8/√872)
u = 15.8 - 2.33 (0.6096)
u = 15.8 - 1.4203
u = 14.4
Hence the 98% confidence interval for population mean usage of electricity is (14.4kwh, 17.2kwh)
Step-by-step explanation:
Given that:
a = 2ˣ
b = 2ˣ⁺¹ = 2ˣ * 2¹ = 2.2ˣ
Now,
{(8a³)/b²}
Substitute the value of x and y in expression then
= [{8(2ˣ)³}/(2.2ˣ)²]
= [(8*2³ˣ)/{2² * (2ˣ)²}]
= {(8*2³ˣ)/(4 * 2²ˣ)}
[since, (aᵐ)ⁿ = aᵐⁿ]
= {(2 * 2³ˣ)/2²ˣ}
= {(2 * 2²ˣ * 2ˣ)/2²ˣ}
[since (2a = a+a, that means 3x = 2x + x)]
= 2 * 2ˣ
= 2ˣ⁺¹
[since (aᵐ * aⁿ = aᵐ+ⁿ)]
<u>Answer:</u> Therefore, {(8a³)/b²} = 2ˣ⁺¹ .
Please let me know if you have any other.
Answer:
you should find the relation between terms at first
