Which equation demonstrates appropriate use of the distributive property?
A. 9 (x + 2y) = 9x + 2y
B. 9 (x + 2y) = 9x + 18y
C.9 (xy) (9x) (9y)
D. 9 (x + 0) - 9x + 9

Answer:

Right Angles, Alternate Interior Angles, Supplementary Angles, Equal Angles.

Step-by-step explanation:

Since S and R are both parallel lines, and line T is perpendicular to line S and R, we know that angles 16 and 17 form all right angles. Since all parts are right angles, we know that they are equal. Since two 90 degree angles form a supplementary angle, we know that angle 16 plus angle 17 is supplementary. We also know that these angles are alternate interior angles, as they are in the interior of each separate perpendicular part.

Answer:

The value is  [tex]X =  0.1719 [/tex]

Step-by-step explanation:

From the question we are told that

    The entry fee is  [tex]a =  \$ 11[/tex]

    The  outcome for  first place is  [tex]b =  \$ 58[/tex]

    The outcome for second place is [tex]c =  \$ 48[/tex]

   The outcome for losing is  [tex] d =  - \$ 11[/tex]

The chance of finishing in the top two  is  X

Given that there are equal chance  of finishing first or second, then the chance of finishing first is  [tex]\frac{X}{2}[/tex]

and  the chance of finishing second is  [tex]\frac{X}{2}[/tex]

Then the chance of losing(i.e not finishing in the first two) is  [tex]1 - X[/tex]

given that the game is a fair gamble for the player as an expected maximizer then it mean is that the expected value of entering the tournament  E(X) =  0

So

     [tex]E(X) =  b *  \frac{X}{2}  +  c  *  \frac{X}{2} *  d  *  ( 1 - X)[/tex]

=>   [tex]0 =  58 *  \frac{X}{2}  +  48  *  \frac{X}{2} *  -11  *  ( 1 - X)[/tex]

=>   [tex]0 =  \frac{58X}{2}  +   \frac{48X}{2} *  -11  + 11X)[/tex]

=>   [tex]X =  \frac{64}{11}[/tex]

=>   [tex]X =  0.1719 [/tex]

Answer:

Step-by-step explanation:

Equation

7x - 15 = 1 → Move the -15, reversing the sign:

7x = 1 + 15 → Solve the sum:

7x = 16 → We have a fraction:

x = [tex]\dfrac{16}{7}[/tex]

x = 2.28571428571

To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].

Hope this helps!

Good studies! ☺

The solution of the equation for x is;

⇒ x = 16/7

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is given as;

7x - 15 = 1

Now, Solve the expression for x by using inverse operations as;

7x - 15 = 1

Since 15 is subtract and inverse of subtraction is addition.

Hence,

Add 15 both side we get;

7x - 15 + 15 = 1 + 15

7x = 16

7 is multiply by x, and inverse of multiplication is divide;

So, Divide by 7 both side;

x = 16/7

Thus, The solution of the equation for x is;

⇒ x = 16/7

Learn more about the inverse operations visit:

https://brainly.com/question/17136818

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Answer:

1800000 kilometers

Step-by-step explanation:

i think im not 100% sure

Segment, ray and line are one-dimensional figures.

We need to check from the given options which are one-dimensional figures.

One-dimensional: Only a single measurement is possible for a one-dimensional figure. A line segment drawn on a surface is a one-dimensional object, as it has only length and no width.  

Here, the segment is a one-dimensional figure.

Ray is a one-dimensional figure.

Angle is a two-dimensional figure.

A line is a one-dimensional figure.

The plane is a two-dimensional figure.

A cube is a three-dimensional figure.

Therefore, segment, ray and line are one-dimensional figures.

To learn more about one-dimensional figures visit:

https://brainly.com/question/17967616.

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Answer:

The projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.

Step-by-step explanation:

This projectile is experimenting a free fall, that is, an uniform accelerated motion of the projectile due to gravity and in which effects of air friction and Earth's rotation are neglected. Given that initial and final heights, initial velocity and gravitational acceleration are known, we need to calculate time by solving the appropriate equation of motion described below:

[tex]y = y_{o} +v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}[/tex] (Eq. 1)

Where:

[tex]y_{o}[/tex] - Initial height of projectile, measured in feet.

[tex]y[/tex] - Final height of projectile, measured in feet.

[tex]v_{o}[/tex] - Initial velocity of projectile, measured in feet per second.

[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.

As we must remember, quadratic functions have two roots and if we get that [tex]y_{o} = 0\,ft[/tex], [tex]y = 200\,ft[/tex], [tex]v_{o} = 120\,\frac{ft}{s}[/tex] and [tex]g = -16\,\frac{ft}{s^{2}}[/tex], then, the quadratic function is:

[tex]-8\cdot t^{2}+120\cdot t -200 = 0[/tex]

Roots are found by the Quadratic Formula:

[tex]t_{1,2} = \frac{-120\pm \sqrt{120^{2}-4\cdot (-8)\cdot (-200)}}{2\cdot (-8)}[/tex]

Whose solutions are:

[tex]t_{1} \approx 13.090\,s[/tex] and [tex]t_{2} \approx 1.910\,s[/tex].

Both roots are physically reasonable, first root represents the instant when the projectile reaches 200 feet when it is moving downwards, whereas second root represents the projectile moving upwards. Therefore, the projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.

Answer:

It will take 2.5 s to reach a height of 200ft.

Step-by-step explanation:

Answer:

[tex]y = Acos5x - Bsin5x[/tex]

Step-by-step explanation:

Given the differential equation y''-10y'+29y=0

First, we need to rewrite it as an auxiliary equation as shown:

Let y'' = m²y and y' = my

Substitute the values into the general equation

m²y-10my+29y = 0

Factor out y:

(m²-10m+29)y = 0 [The auxiliary equation]

Solve the auxiliary equation and find the roots of the equation

m²-10m+29 = 0

m = -b±√(b²-4ac)/2a

a = 1, b = -10, c = 29

m = -10±√(10²-4(1)(29))/2(1)

m = -10±√(100-116)/2

m = -10±√-16/2

m = (-10±4i)/2

m = -10/2 + 4i/2

m = -5+2i

Comparing the complex number with a+bi, a = -5 and b = 2

The general solution for complex solution is expressed as:

[tex]y = Acosax + Bsinax[/tex]

Substitute the value of a in the equation

[tex]y = Acos(-5)x + Bsin(-5)x\\y = Acos5x-Bsin5x[/tex]

Hence the general solution to the differential equation is [tex]y = Acos5x - Bsin5x[/tex]

Answer:

b

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Answer:

32 degrees goto the x vaule

Answer:

What Is X and Y

Step-by-step explanation:

Answer:

It is a linear equation.

Step-by-step explanation:

It has no squares in the equation, meaning the line is straight, therefore meaning the equation is linear.

Answer is 2/3

Hope this helps

Answer:

200 cans

Step-by-step explanation:

use rate method

80         40

x           100

40x=8000

x=8000/40

x=200

Answer:

(x-2)(x+1)(x-5)

Step-by-step explanation:

Answer: 22 Levels

Step-by-step explanation: He would need to go one level higher just to get to level one, and another 21 to get to the level that he wants to, so the total would be 22 levels.

Answer:

The elevator moved up 21 levels

Answer:

9 1/66

Step-by-step explanation:

9 x 1 is 9 so its that but to add more proof the problem is 9 1/6, 1 1/11 multiply 6 and 11 it is 66 so the answer is 9 1/66

Complete Question

Problem 7.43

   A chemical plant superintendent orders a process readjustment (namely shutdown and setting change) whenever the pH of the final product falls below 6.92 or above 7.08. The sample pH is normally distributed with unknown mu and standard deviation 0.08. Determine the probability:

(a)

of readjusting (that is, the probability that the measurement is not in the acceptable region) when the process is operating as intended and [tex]\mu[/tex] = 7.0 probability

(b)

of readjusting (that is, the probability that the measurement is not in the acceptable region) when the process is slightly off target, namely the mean pH is [tex]\mu[/tex] = 7.02

Answer:

a

The value is  [tex]P(X < 6.92 or X > 7.08 ) =  0.26431 [/tex]  

b

The value  is [tex]P(X < 6.92 or X > 7.08 ) =  0.29344 [/tex]  

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu =  7.0[/tex]

  The standard deviation is  [tex]\sigma  =  0.08[/tex]

Considering question a

Generally the probability of readjusting when the process is operating as intended and mu  7.0 is mathematically represented as

       [tex]P(X < 6.92 or X > 7.08 ) =  P(X <  6.92  ) + P(X > 7.08)[/tex]

=>    [tex]P(X < 6.92 or X > 7.08 ) =  P(\frac{X - \mu }{\sigma} < \frac{6.9 - 7}{0.08}  ) + P(\frac{X - \mu}{\sigma} >  \frac{7.08 - 7}{0.08} )[/tex]

Generally

 [tex]\frac{X - \mu }{\sigma} = Z(The \  standardized \  value \ of \  X)[/tex]

So

=> [tex]P(X < 6.92 or X > 7.08 ) =  P(Z < \frac{6.9 - 7}{0.08}  ) + P(Z >  \frac{7.08 - 7}{0.08} )[/tex]    

=> [tex]P(X < 6.92 or X > 7.08 ) =  P(Z < -1.25) + P(Z >  1 )[/tex]  

From the z table the probability of  (Z < -1.25) and  (Z >  1 ) is  

       [tex]P(Z < -1.25) =  0.10565[/tex]

and

      [tex]P(Z >  1 ) = 0.15866[/tex]

So

=> [tex]P(X < 6.92 or X > 7.08 ) =  0.10565 + 0.15866 [/tex]      

=> [tex]P(X < 6.92 or X > 7.08 ) =  0.26431 [/tex]      

Considering question b

Generally the probability of readjusting when the process is operating as intended and mu  7.02 is mathematically represented as

       [tex]P(X < 6.92 or X > 7.08 ) =  P(X <  6.92  ) + P(X > 7.08)[/tex]

=>    [tex]P(X < 6.92 or X > 7.08 ) =  P(\frac{X - \mu }{\sigma} < \frac{6.9 - 7.02}{0.08}  ) + P(\frac{X - \mu}{\sigma} >  \frac{7.08 - 7.02}{0.08} )[/tex]

Generally

 [tex]\frac{X - \mu }{\sigma} = Z(The \  standardized \  value \ of \  X)[/tex]

So

=> [tex]P(X < 6.92 or X > 7.08 ) =  P(Z < \frac{6.9 - 7.02}{0.08}  ) + P(Z >  \frac{7.08 - 7.02}{0.08} )[/tex]    

=> [tex]P(X < 6.92 or X > 7.08 ) =  P(Z < -1.5) + P(Z >  0.75 )[/tex]  

From the z table the probability of  (Z < -1.5) and  (Z >  0.75 ) is  

       [tex]P(Z < -1.5) = 0.066807[/tex]

and

      [tex]P(Z >  0.75 ) = 0.22663[/tex]

So

=> [tex]P(X < 6.92 or X > 7.08 ) = 0.066807 + 0.22663 [/tex]      

=> [tex]P(X < 6.92 or X > 7.08 ) =  0.29344 [/tex]      

Answer:

6

Step-by-step explanation:

slope is m in the y=mx+b

Answer:

(a) 0.40

(b) 0.049

(c) [tex]\bar p\sim N(0.40,0.049^{2})[/tex]

(d) Explained below

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 [tex]E(\bar p)=p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

 [tex]SE(\bar p)=\sqrt{\frac{p(1-p)}{n}}[/tex]

Given:

n = 100

p = 0.40

As n = 100 > 30 the Central limit theorem is applicable.

(a)

Compute the expected value of [tex]\bar p[/tex] as follows:

[tex]E(\bar p)=p=0.40[/tex]

The expected value of [tex]\bar p[/tex] is 0.40.

(b)

Compute the standard error of [tex]\bar p[/tex] as follows:

[tex]SE(\bar p)=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{100}}=0.049[/tex]

The standard error of [tex]\bar p[/tex] is 0.049.

(c)

The sampling distribution of [tex]\bar p[/tex] is:

[tex]\bar p\sim N(0.40,0.049^{2})[/tex]

(d)

The sampling distribution of p show that as the sample size is increasing the distribution is approximated by the normal distribution.

Answer:

The p-value is 0.0012.

Step-by-step explanation:

The hypothesis is:

H₀: µ = 72 vs. Hₐ: µ > 72

The information provided is:

[tex]n =16\\\bar x=75.8\\\sigma=5[/tex]

Compute the test statistic value as follows:

[tex]z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}[/tex]

  [tex]=\frac{75.8-72}{5/\sqrt{16}}\\\\=3.04[/tex]

Compute the p-value as follows:

[tex]p-value=P(Z>3.04)\\\\=1-P(Z<3.04)\\\\=1-0.99882\\\\=0.00118\\\\\approx 0.0012[/tex]

*Use a z-table.

Thus, the p-value is 0.0012.

Answer:

The 4 is in the 1,000,000´s place and 3 is in the 10,000 place

Step-by-step explanation:

Answer:

i think ur answer is -43.i hope u get it

Answer:

the answer is i guess -43

Step-by-step explanation:

|-43| = 43

so -|-43| = -43

Answer:

60 inches and he will need 4 tiles

Answer:

Im dumbmbbn slalsodl soak w uelwoelcome

Step-by-step explanation:

Answer:

1. A

2. it might be impetigo??

Step-by-step explanation:

Not sure but I believe this is correct.

Answer:

y = -4/3x - 4

Step-by-step explanation:

Given

(x1,y1) = (-9,8)

slope, m = -4/3

Required

Determine the line equation

The equation is of the form

y - y1 = m(x - x1)

Substitute values for y1, x1 and m

y - 8 = -4/3(x - (-9))

y - 8 = -4/3(x + 9)

y - 8 = -4/3x - 12

y = -4/3x - 12 + 8

y = -4/3x - 4

Answer:

6.25 hours

Step-by-step explanation:

this is rather simple really,

first, you have to work 40 hours a week

you have already worked 15 so now you can subtract that

40-15= 25hrs

if you have 4 more days of the week you divide the remaining hours by the days left

25/4= 6.25hrs

that would be the bare minimum of hours for you to work a 40 hour week.

Answer:

[tex] \huge{ \boxed{ \tt{ \frac{ 7}{4} }}}[/tex]

Step-by-step explanation:

[tex] \text{Let \: the \: points \: be \: A \: and \: B}[/tex]

[tex] \sf{A \:( \: 0 \:, - 5 \: ) \longrightarrow{ \: (x1 \:, y1)}}[/tex]

[tex] \sf{B(4 \:, 2) \: \longrightarrow{ \:( x2 \:, y2)}}[/tex]

[tex] \underline{ \text{Finding \: the \: slope} }: [/tex]

[tex] \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1}}} [/tex]

[tex] \sf{➳ \: Slope = \frac{2 - ( - 5)}{4 - 0}} [/tex]

[tex] \sf{➳ \: Slope = \frac{ 2 + 5}{4} }[/tex]

[tex] \sf{➳ \: Slope = \frac{7}{4} }[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

The answer is 16

Mark me as brainliest if it was helpful