Answer:
0.731 < p < 0.775
Step-by-step explanation:
We have a sample proportion of 753/1000 = 0.753
We need to construct a 90% confidence interval for the population proportion. Since n > 30, we use the corresponding z-value of 1.645.
See attached photo for the formulas and construction of the confidence interval.
Answer:
x = 91, y = 89, z = 31 Fourth choice
Step-by-step explanation:
x = 180 - 51 - 38 = 91
y = 180 - 91 = 89
z = 180 - 60 - 89 = 31
Answer:
sec A= 1.01 and cot B =8.25
Step-by-step explanation:
Given :
sec A and cotB if a =8 and b=7
Now,
=
and
Therefore, answer will be sec A= 1.01 and cot B =8.25
Answer:
The values of a, b and c are:
Step-by-step explanation:
Step 1:
First Confirm the sequence is quadratic by finding the second difference.
Sequence =
1st difference:
2nd difference:
Step 2:
Just divide the second difference by 2, you will get the value of .
6 ÷ 2 = 3
So the first term of the nth term is
Step 3: Next, substitute the number 1 to 5 into
n = 1,2,3,4,5
3n² = 3,12,27,48,75
Step 4:
Now, take these values (3n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
3n² = 3,12,27,48,75
Differences:
1 - 3 = -2
11 - 12 = -1
27 - 27 = 0
49 - 48 = 1
Now the nth term of these differences (-2,-1,0,1) is (n - 1) - 2.
so b = 1, and c = -3
Step 5: Write down your final answer in the form an² + bn + c.
3n² + (n - 1) -2
= 3n² + n - 1 - 2
= 3n² + n - 3
Therefore, the values of a, b and c are:
Answer:
Step-by-step explanation:
Lets age of father be x and age of son be y
x+5=3(y+5)
x=3y+15-5
x=3y+10
x-5=7(y-5)
3y+10-5=7(y-5)
3y+5=7y -35
35+5= 7y-3y
40=4y
y=10 years son`s age