Answer: <u>56.9</u> years to <u>63.1</u> years.
Step-by-step explanation:
Confidence interval for population mean (when population standard deviation is unknown):

, where
= sample mean, n= sample size, s= sample standard deviation,
= Two tailed t-value for
.
Given: n= 24
degree of freedom = n- 1= 23
= 60 years
s= 7.4 years
Two tailed t-critical value for significance level of
and degree of freedom 23:

A 95% confidence interval on the true mean age:

Hence, a 95% confidence interval on the true mean age. : <u>56.9</u> years to <u>63.1</u> years.
Answer:
18.6
Step-by-step explanation:
We are given that

We have to find the value of k.
Divide by 32 on both sides then we get


Taking ln on both sides then we get







Hence, the value of k=18.6
Given:
A TV and Washing machine were purchased for Rs 15000 each.
Together, they are sold at Rs 35000.
To find:
The profit and profit%.
Solution:
A TV and Washing machine were purchased for Rs 15000 each. So, the total cost price is


Together, they are sold at Rs 35000. So, the selling price S.P. is 35000.
Now,



And,




Therefore, the profit is Rs. 5000 and the profit percent is 16.67%.
Lets just say the number is equal to x.
-1(2x+3)=2*(-4x-3)
Distribute on both sides
-2x-3=-8x-6
Add 3 to both sides
-2x=-8x-6
Add 8x to boths sides
6x=-6
Divide Both Sides by -1
x=-1
The numbers is -1.
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16