What is the slope of the line that passes through the points (5, -11) and (-2, 10)?

The National Coffee Association reported that of U.S. adults drink coffee daily. A random sample of U.S. adults is selected. Rou

kirill115 [55]

The question is incomplete. The complete question is :

The National Coffee Association reported that 62% of U.S. adults drink coffee daily. A random sample of 225 U.S. adults is selected. Round your answers to at least four decimal places as needed.

Required:

a. Find the mean μ.

b. Find the standard deviation σ.

c. The standard deviation σ.

Solution :

a). Percentage of the US adults who drinks coffee daily = 62%

Therefore, the mean, μ = 0.62

b). We know, p = μ = 0.62

And n = 225

Therefore, the standard deviation is given by :

$\sigma=\sqrt{\frac{p\times (1-p)}{n}}$

$=\sqrt{\frac{0.62\times (1-0.62)}{225}}$

$=\sqrt{\frac{0.62\times 0.38}{225}}$

$=0.0324$

c). Standard deviation, σ = 0.0324

3 0

3 years ago

What is the value of the expression 2 1/4 * (3/2 - 3/4) + (2/8 / 1/2)?

pantera1 [17]

Answer: 35/16

Step-by-step explanation:

7 0

3 years ago

Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x + 2) f(x) = (x – 2)(x + 2) f(x) = (x + 1)(x – 2)

strojnjashka [21]

we know that

If the vertex is on the y-axis, then the x-coordinate of the vertex is equal to zero

we are going to verify the vertex of each one of the functions to determine the solution

Remember that

The equation in vertex form of a vertical parabola is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

if $a>0$ -------> the parabola open upward (vertex is a minimum)

if $a$ -------> the parabola open downward (vertex is a maximun)

case A) $f(x)=(x-2)^{2}$

This is a vertical parabola open upward

the vertex is the point $(2,0)$

therefore

The function $f(x)=(x-2)^{2}$ does not have a vertex on the y-axis

case B) $f(x)=x(x+2)$

$f(x)=x(x+2)=x^{2}+2x$

convert to vertex form

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)+1=x^{2}+2x+1$

Rewrite as perfect squares

$f(x)+1=(x+1)^{2}$

$f(x)=(x+1)^{2}-1$

the vertex is the point $(-1,-1)$

therefore

The function $f(x)=x(x+2)$ does not have a vertex on the y-axis

case C) $f(x)=(x-2)(x+2)$

$f(x)=(x-2)(x+2)=x^{2}-2^{2}$

$f(x)=x^{2}-4$

the vertex is the point $(0,-4)$

The x-coordinate of the vertex is equal to zero

therefore

The function $f(x)=(x-2)(x+2)$ has a vertex on the y-axis

case D) $f(x)=(x+1)(x-2)$

$f(x)=(x+1)(x-2)\\ \\f(x)= x^{2}-2x+x-2 \\ \\f(x)= x^{2} -x-2$

convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+2= x^{2} -x$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)+2+0.25= x^{2} -x+0.25$

$f(x)+2.25= x^{2} -x+0.25$

Rewrite as perfect squares

$f(x)+2.25= (x-0.50)^{2}$

$f(x)=(x-0.50)^{2}-2.25$

the vertex is the point $(0.5,-2.25)$

therefore

The function $f(x)=(x+1)(x-2)$ does not have a vertex on the y-axis

the answer is

$f(x)=(x-2)(x+2)$

6 0

3 years ago

Read 2 more answers

What is 3√243 expressed in simplest radical form?

Volgvan

Answer:

H is correct

Step-by-step explanation:

(243)^1/3

(3^3 × 3^2)^(1/3)

(3^3)^1/3 × (3^2)^1/3

3×(9)^1/3

3 0

3 years ago

you are swimming each a 25-yard lap pool 3 seconds faster than your personal best what integer represents your change in time of

True [87]

24 seconds faster than your best

7 0

3 years ago