Solve the expression.<br> 2^3 + 17

A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is appro

Pavel [41]

Answer:

The answers to the questions are

(a) P = 0.0176

(b) P = 0.5

(c) P = 0.0571

Step-by-step explanation:

The P value is the calculated probability of obtaining extreme reults which are as extreme as observed res ult when the study null hypothesis H₀ is true

The p value is given by

P ( $\overline{\rm x}$ = 185 when μ = 175)

z = $\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }$

z( $\overline { \rm x}$ = 185) = $\frac{ 185 -175}{20/\sqrt{10} }$ = 1.5811

Therefore the P ( $\overline{\rm x}$ = 185 when μ = 175) = P(z = 1.5811)

0.94295

The probability density function is

$f(x) = \frac{1}{\sigma\sqrt{2\pi } } e^{-\frac{1}{2}(\frac{x-\mu}{\sigma} )^2 }$ Therefore the probability is

$f(x) = \frac{1}{20\sqrt{2\pi } } e^{-\frac{1}{2}(\frac{185-175}{20} )^2 }$ = 0.0176

b) The type II error is given by

β = P(type II error) = P(Fail to reject the null hypothesis when it is false)

Therefore

β = P ( $\overline { \rm x}$ < 185 when μ = 185)

P $(\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }$ , which gives

P(z<0) and β = 0.5

(c) For true mean foam height of 195 mm we have

β = P ( $\overline { \rm x}$ < 185 when μ = 195)

and P $(\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }$

Which gives P(z < -1.58)

From z table the probability is β = 0.0571

3 0

3 years ago

HELLP I WILL GIVE YOU A CROWN

ElenaW [278]

Answer:

A)The slope of the graph is 1

B) The table is 3

C) The equation is 1/2

D) The table

Step-by-step explanation:

y2-y1/x2-x1=the slope

Pick two undefined points {such as 5,0 and 0,-5)

5-0/0+5=1

The slope is 1.

~~~~~~~~~~

Same equation of slope, you just have to find two points (I chose 2,2 and 4,3

The slope of the equation y=0.5x+1 is 1/2 or 0.5

~~~~~~~~~~

You choose two points (I chose 2,9 and 1,6)

Slope equation

9-6/2-1=3/1=3

Slope is 3

~~~~~~~~~~~

The greatest change is in the table. You know this because it has the greatest slope and if you draw it out on a graph, it has the most significant change.

Good luck!

7 0

3 years ago

The theater sells two types of tickets: adult tickets for $15 and child tickets for $3. Last night, the theater sold a total of

Nuetrik [128]

Step-by-step explanation:

An adult ticket will be x.

Each adult ticket costs 15 dollars, so 15x

A child ticket will be y.

Each child ticket costs 3 dollars, so 3y

334 tickets were sold, totaling 3342 dollars.

15x + 3y = 3342 dollars in total.

Unknown number of adult tickets plus unknown number of child tickets equals to 334, so:

x number of adult tickets + y number of child tickets = 334 tickets in total.

x + y = 334

There are two equations in a system.

Use substitution:

x + y = 334

y = 334 - x

And plug it into other equation:

15x + 3(334 - x) = 3342

Solve for x since the question only asked for total number of adult tickets sold at theater (<em>remember x is the number of adult tickets</em>)

15x + (1002 - 3x) = 3342

15x + 1002 - 3x = 3342

Bring all x variables to one side and constants to other side:

15x - 3x = 3342 - 1002

12x = 2340

Divide both sides by 12:

x = 195

With that answer, we can conclude that 195 adult tickets were sold at the theater last night!

ANSWER: 195

3 0

3 years ago

What is the value of x log3x equals 4

ArbitrLikvidat [17]

$~~~~\log_3 (x) = 4\\\\\implies x= 3^4 \\\\\implies x= 81$

7 0

2 years ago

Find the product of the expression. (6qr2) • (2qr)

zaharov [31]

here it is my answer

hope it is right

5 0

4 years ago

Solve the expression. 2^3 + 17 - 3g4 = ?