Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.

nikdorinn [45]

Answer:

The lowest value of the confidence interval is 0.5262 or 52.62%
The highest value of the confidence interval is 0.5538 or 55.38%

Step-by-step explanation:

Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.

The general expression to apply here is;

$C.I=p+-z*\sqrt{\frac{p(1-p)}{n} }$

where ;

p=sample proportion

n=sample size

z*=value of z* from the standard normal distribution for 95% confidence level

Given;

n=5000

Find p

From the question 54% of people chosen said they did not have children under 18 living at home

$\frac{54}{100} *5000 = 2700\\\\p=\frac{2700}{5000} =0.54$

To calculate the 95% confidence interval, follow the steps below;

Find the value of z* from the z*-value table

The value of z* from the table is 1.96

calculate the sample proportion p

The value of p=0.54 as calculated above

Find p(1-p)

$0.54(1-0.54)=0.2484$

Find p(1-p)/n

Divide the value of p(1-p) with the sample size, n

$\frac{0.2448}{5000} =0.00004968$

Find the square-root of p(1-p)/n

$=\sqrt{0.00004968} =0.007048$

Find the margin of error

Here multiply the square-root of p(1-p)/n by the z*

$=0.007048*1.96=0.0138$

The 95% confidence interval for the lower end value is p-margin of error

$=0.54-0.0138=0.5262$

The 95% confidence interval for the upper end value is p+margin of error

$0.54+0.0138=0.5538$

7 0

3 years ago

Read 2 more answers

mei invests $4667 in a savings account with a fixed annual interest rate of 5% compounded 6 times per year. what will the accoun

jek_recluse [69]

$6950.82, if you follow the formula P(1+r/t)^(n/t)

5 0

2 years ago

The table of vaules represents a linear function g(x) where X is the number of days that have passed and g(x) is the blance in t

Step2247 [10]

Answer:

Step-by-step explanation:

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

Filling in this formula with 2 different points 2 times will ensure that this is fact a linear function. In other words, if the slope comes up the same between points 1 and 2 and then between points 2 and 3, this is linear.

Between (0, 600) and (3, 720) the slope formula is

$m=\frac{720-600}{3-0}=\frac{120}{3}=40$ and

$m=\frac{840-720}{6-3}=\frac{120}{3}=40$ So this is in fact linear because the slopes are the same.

Interpreting a slope is similar to interpreting a unit ratio. In our case, the slope means that after the initial investment in the account, $40 per day (there's the unit rate I was referring to) is deposited into the account.

Using that slope to write first the point-slope form of the line allows us to use any one of the 3 coordinates to write the equation. I use (0, 600). In point-slope form:

$y-600=40(x-0)$

That's point-slope form. Now for slope-intercept form, which is the same as solving for y.

y - 600 = 40x - 0 and

y = 40x + 600. That's slope-intercept, and now for standard form. Standard form follows the format of a. No fractions and b. Both the x and y terms go on the same side of the equals sign and the constant on the other.

We move the x term over to the y side:

-40x + y = 600. But a lot of textbooks don't like to lead with a negative, so the equivalent form of this with a positive leading coefficient is

40x - y = -600 (notice that all we did was change ALL the signs to the opposite of what they were, not just the sign on the x term. Very important!!)

8 0

3 years ago

What is the value of x?

jok3333 [9.3K]

Answer:

Solution given:

sin 47=opposite/hypotenuse

Sin 47=x/18

x=sin47*18