What is the value of the expression?

A random sample of 133 people was taken from a very large population. Sixty-five of the people in the sample were females.The st

rjkz [21]

Answer: 0.0433

Step-by-step explanation:

Given: Sample size : n= 133

The number of females in sample = 65

Then the proportion of females : $P=\dfrac{65}{133}$

The formula to calculate the standard error of the proportion is given by :-

$S.E.=\sqrt{\dfrac{P(1-P)}{n}}$

$\Rightarrow S.E.=\sqrt{\dfrac{\dfrac{65}{133}(1-\dfrac{65}{133})}{133}}\\\\\Rightarrow\ \Rightarrow S.E.=0.0433444676341\approx0.0433$

Hence, the standard error of the proportion of females is 0.0433.

6 0

3 years ago

Will give Brainliest if you get it right

fenix001 [56]

Answer:

10.63

Step-by-step explanation:

The distance between two points is sqrt((difference between y-values)^2 + (difference between x-values)^2) -->

sqrt(8^2 + 7^2) =

sqrt(64 + 49) =

sqrt( 113) =

10.630145 -->

10.63

5 0

3 years ago

A family buys 6 tickets to a show. They also pay $3 parking fee. They spend $27 to see the show.

JulijaS [17]

Answer:

They paid $4.00 per ticket

Step-by-step explanation:

<u>Step 1: Convert words into an inequality</u>

A family buys 6 tickets to a show. They also pay $3 parking fee. They spend $27 to see the show.

6t + 3 = 27

<u>Step 2: Solve for t/tickets</u>

6t + 3 = 27

6t + 3 - 3 = 27 - 3

6t / 6 = 24 / 6

t = 4

Answer: They paid $4.00 per ticket

3 0

4 years ago

Read 2 more answers

Plzzzzz help 3 9/10 is the same as the sum of 3 1/3 and half of a number what is the number

kirill [66]

Answer:

9/10 = 1/3 + 1/2x

9/10 - 1/3 = 1/2x

LCM of 10 and 3 is 30

( 27 - 10)/30 = 1/2x

17/30 = 1/2x

17 * 2 = 30x

34=30x

34/30= 30x/30

x = 17/15

6 0

3 years ago

LOOK AT CHART BEFORE THE BULLET PART:

Ber [7]

Answer:

1st blank: $\text{Slope(m)}=-\frac{3}{4}$

2nd blank: $\text{y-intercept}=399$

3rd blank: Slope-intercept form: $y=-\frac{3}{4}x+399$

Step-by-step explanation:

Let x be the number of sandwiches and y be the number of wraps.

We have been given a chart of values, which represents Sal's total profit on lunch specials for two months. We are asked to fill in the empty boxes.

We have been given that Sal gets a profit of $3 after selling each sandwich, so Sal's profit after selling x sandwiches will be 3x.

As each wrap gives a profit of $4, So Sal's profit after selling y wraps will 4y.

Since Sal’s total profit on lunch specials for next month is $1596. We can represent this information in an equation as:

$3x+4y=1596$

We can see that our equation is in standard form, so let us convert it in slope-intercept form of equation.

Since we know that equation of a line in slope-intercept form is: $y=mx+b$ , where,

m = Slope of line,

b = y-intercept or initial value.

Let us subtract 3x from both sides of our equation.

$3x-3x+4y=1596-3x$

$4y=1596-3x$

Let us divide both sides of our equation by 4.

$\frac{4y}{4}=\frac{1596-3x}{4}$

$y=\frac{1596}{4}-\fraxc{3x}{4}$

$y=399-\frac{3}{4}x$

$y=-\frac{3}{4}x+399$

Therefore, equation $y=-\frac{3}{4}x+399$ represents the Sal's total profit for 2nd month in slope-intercept form of equation.

Upon comparing our equation with slope-intercept form of equation we can see that slope of our line is $-\frac{3}{4}$ and y-intercept is 399.

5 0

3 years ago