Answer:
The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).
Answer:
f. the sequence goes by the half of the previous number.
= 16, 8, 4, 2, 1, 1/2, 1/4, 1/8...
g. the sequence goes by adding the consecutive odd number added to the previous number.
first number= 3.
second number= 3+3
= 6
third number= 6+5
= 11
fourth number= 11+7
= 18
fifth number= 18+9
= 27
sixth number= 27+11
= 38
seventh number= 38+13
= 51, etc.
= 3, 6, 11, 18, 27, 38, 51...
The actual value is 250.84 .
Formula
Percentage calculation =(given value/total value)*100
let the actual value is "x"
percentage we known is 59 1/5% (59.2%) and 59.2% of x is 148.5.
for the percentage,
x*59.2% =148.5
x*59.2/100=148.5
x=(148.5/59.2)*100
x=(2.5084)*100
x=250.84
The actual value is 250.84 .
Learn more about the percentage here:
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Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
The answer is 10.
4 a + 5 b when a = 4 and b = - 1.2