11. In your own words, describe how to view the
hean of a set of numerical data in two different
ways: in terms of leveling out and as a balance
point. In each case, give an example to illustrate.

Answer:

x(x+7)

Step-by-step explanation:

x^2+4x+3x

Combine like terms

x^2+7x

Factor out an x

x(x+7)

Answer:

[tex]x(x + 7)[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 4x + 3x[/tex]

Combine like terms

[tex] {x}^{2} + 7x[/tex]

Factoring

[tex]x(x + 7)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Option (D). 129°

Step-by-step explanation:

In the figure attached,

AB and CD are the diameters intersecting at the center of the circle F.

Central angle AFC = 129°

m([tex]\widehat{AC}[/tex]) = 129°

m(∠AFD) = 180° - (m∠AFC)

               = 180° - (129)°

               = 51°

Since m∠AFD = m∠BFC = 51° [Vertical angles]

Therefore, [tex]m(\widehat{AD})=m(\widehat{BC})=51[/tex]

Now, [tex]m(\widehat{BC})+m(\widehat{BD})[/tex] = 180°  

                 51° + [tex]m(\widehat{BD})[/tex] = 180°

                         [tex]m(\widehat{BD})[/tex] = 180° - 51°

                         [tex]m(\widehat{BD})[/tex] = 129°

Therefore, Option (D) will be the answer.

Answer:

r = 6 mph and f = 11 mph

Step-by-step explanation:

Representations:  

1) speed of faster cyclist:  f = r + 5

2) speed of slower cyclist:  r

Distances covered:

(r + 5)(5 hr) + r(5) = 55 mi (total distance covered)

Then 5r + 25 + 5r = 55, or, after reducing this equation:

r + 5 + r = 11, or

2r = 6

Then r = 6 mph and f = 11 mph

Answer:

b.Testing a claim about a single population mean.

Step-by-step explanation:

Hello!

The researcher wants to test the claim that corporation employees work more than 40 hours per week.

The variable of interest is "The number of hours a corporate employee works per week"

The parameter of study, for her to make a valid conclusion about the weekly working hours of the population of corporation employees is the population mean μ.

If the claim is correct, she would expect the population mean of weekly hours the corporate employees work to be greater than 40.

This is an example of a single population mean test.

Answer:

triangular prism

Step-by-step explanation:

A triangular prism has 3 rectangular sides and 2 triangles as the base

The answer is : Triangular, Prism

Have a great day!

God bless you!

Answer:

B:True

Step-by-step explanation:

B is true as a bag of 8 red tiles and 2 green tiles you pay 5 per tile meaning in twenty games you pay $100(50 per bag) and the total amount you win back is $56(28 per bag) so the equation would be $100 - $56= $44 profit to the charity

Hence only statement 1 is correct,∴The expected payoff per game for the charity is $2.20.

Money provided to someone as a bribe, reward, or when they leave a position. As a result, a mathematical function representing the award awarded to a single player at the game's conclusion has been developed.

Given a bag of tiles containing 8 red tiles, 2 green tiles.

Probability of drawing a red tile =1/8

Probability of drawing a green tile =1/2

If red tile is pulled payout is $1 else $10

Payout=

payout for 1 game= $1*8/10+$10*2/10-$5=2.20

payout in 20 games =$1*10*8/10+$10*10*2/10-$5*20=-72

payout for 30 games=$1*15*8/10+$10*15*2/10-$5*30=0

payout in 5 games=$1*5*8/10+10*5*2/10-$5*5=$25

Hence only statement 1 is correct, ∴The expected payoff per game for the charity is $2.20.

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Answer:

C

Step-by-step explanation:

PG = GO

2(4x-3)-8=4+2x

8x-6-8=4+2x

8x-14=4+2x

8x-2x=4+14

6x=18

Dividing both sides by 6

x = 3

Answer:

x = 3

Step-by-step explanation:

Since the chords are congruent then they are equidistant from the centre, thus

PG = GO , substitute values

2(4x - 3) - 8 = 4 + 2x ← distribute and simplify left side

8x - 6 - 8 = 4 + 2x

8x - 14 = 4 + 2x ( subtract 2x from both sides )

6x - 14 = 4 ( add 14 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3

Answer:

[tex] p_v = 0.027[/tex]

And for this case we have a significance level [tex] \alpha=0.05[/tex] and then:

[tex] p_v <\alpha[/tex]

So then we have enough evidence to reject the null hypothesis. And we can conclude in favor the alternative hypothesis.

Step-by-step explanation:

For this case we have the following hypothesis:

[tex]Null hypothesis: p =p_o[/tex]

[tex]Alternative hypothesis: p \neq p_o[/tex]

And for this case we got the following hypothesis:

[tex] p_v = 0.027[/tex]

And for this case we have a significance level [tex] \alpha=0.05[/tex] and then:

[tex] p_v <\alpha[/tex]

So then we have enough evidence to reject the null hypothesis. And we can conclude in favor the alternative hypothesis.

I assume the normal function is V(x)=y

So if we plug it in, we know that at x=4, the y value of the function is 64.

Answer:

the meaning is "a collection of historical documents or records providing information about a place, institution, or group of people."

Step-by-step explanation:

hope this helped and plz mark me as brainliest!

Answer:

a collection of historical documents or records providing information about a place, institution, or group of people

Step-by-step explanation:

Answer:

Prime time viewing

ABC % = 18.39%

CBS % = 25.67%

Fox % = 19.92%

NBC % = 22.22%

Warner % = 6.51%

UPN % = 7.28%

Step-by-step explanation:

We have to calculate the percentage of prime time viewing for each of the non-cable networks.

We know that 73.9% of the audience watched shows on cable networks. That left us with 26.1% of the audience for the non-cable networks.

[tex]\text{Cable\%}=1-0.739=0.261=26.1\%[/tex]

Then, if we use a pie chart only for the non-cable networks, we have to calculate the proportion of each network relative to the non-cable audience.

We can calculate that as:

[tex]\text{ABC}=0.048/0.261=0.1839=18.39\%\\\\\text{CBS}=0.067/0.261=0.2567=25.67\%\\\\\text{Fox}=0.052/0.261=0.1992=19.92\%\\\\\text{NBC}=0.058/0.261=0.2222=22.22\%\\\\\text{Warner}=0.017/0.261=0.0651=6.51\%\\\\\text{UPN}=0.019/0.261=0.0728=7.28\%\\\\[/tex]

Answer:

When it is reflected across y=-2, the new location will be at (-5,-4)

Step-by-step explanation:

y=-2 is a horizontal line. The points B(-5,0) is 2 units above that point. So, when reflected, it will move 4 units down, which gives you (-5,-4).

Answer:

0.04

Step-by-step explanation:

In this case we must use the following formula to be able to find the standard error, which would be the square root, of the probability for its complement divided by the population:

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

Now, knowing that p = 0.552 and n = 160 we replace and we are left with:

SE =  [tex]\sqrt{\frac{0.552 *(1-0.552)}{160} } \\[/tex]

SE = [tex]\sqrt{0.00154}[/tex]

SE = 0.039

Which means that the standard error of the proportion is 0.04

Answer:

V =113.04 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = 3.14 (3)^2 4

V = 3.14 *9*4

V =113.04 cm^3

Answer:

Step-by-step explanation:

3*3.14

9.42*9.42

88.7364*4

354.9456 rounded to

355

Answer:

I suppose it should be

6b² and (6b²)²

or

6b² and 36[tex]b^{4}[/tex]

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

therefore

(6b²+2a)² = (6b²)² + 12ab² + 4a²

The missing information to make the equality true are 3b² and (3b²)². This can be obtained by using the algebraic identity (x+y)² =x² + 2xy + y².

Let the missing information be p and p²

Then the given equation will be: (p+2a)² =p² + 12ab² + 4a²

The algebraic identities is (x+y)² =x² +2xy+y²

Comparing the given equation with the algebra formula we get

y=2a

2xy =12ab² ⇒2x(2a) = 12 ab² ⇒ x = 3b²

Therefore the given equation will be

(3b²+2a)² = (3b²)²+12ab²+4a²

Hence the missing information to make the equality true are 3b² and (3b²)².

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Answer:

a) e) H0 : µ ≤ 230 versus Ha : µ > 230

b) [tex]t=\frac{230.7-230}{\frac{41.8}{\sqrt{177}}}=0.223[/tex]    

c. 0.223

c) [tex]p_v =P(t_{(176)}>0.223)=0.4118[/tex]  

d. 0.4118

Step-by-step explanation:

Information given  

[tex]\bar X=230.7[/tex] represent the sample mean

[tex]s=41.8[/tex] represent the sample standard deviation

[tex]n=177[/tex] sample size  

[tex]\mu_o =230[/tex] represent the value to verify

t would represent the statistic  

[tex]p_v[/tex] represent the p value

Part a

We want to verify if the true mean is higher than 230 yards, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 230[/tex]  

Alternative hypothesis:[tex]\mu > 230[/tex]  

The best option would be:

H0 : µ ≤ 230 versus Ha : µ > 230

Part b

The statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{230.7-230}{\frac{41.8}{\sqrt{177}}}=0.223[/tex]    

Part c

The degrees of freedom are:

[tex]df=n-1=177-1=176[/tex]  

The p value would be given by:

[tex]p_v =P(t_{(176)}>0.223)=0.4118[/tex]  

d. 0.4118

Answer:

r(t) = 15t+500

Step-by-step explanation:

Since the amount of money (r) is a function of the time (t) we will make it the y-value.  t is how much time and he gets $15 a minute so we multiply t by 15.  500 is how much he gets paid for doing it.  If he showed up and just left, he would still get 500.

Answer:

R=15t+500

Step-by-step explanation:

I have the same question

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

The wattle thickness (in milimeters) of 15 randomly selected chickens was measured before and after treatment with PHA. Does treatment wih PHA increase wattle thickness?

Chicken Number // Pretreatment // Posttreatment

1 // 1.05 // 3.48

2 // 1.01 // 5.02

3 // 0.78 // 5.37

4 // 0.98 // 5.45

5 // 0.81 // 5.37

6 // 0.95 // 3.92

7 // 1.00 // 6.54

8 // 0.83 // 3.42

9 // 0.78 // 3.72

10 // 1.05 // 3.25

11 // 1.04 // 3.66

12 // 1.03 // 3.12

13 // 0.95 // 4.22

14 // 1.46 // 2.53

15 // 0.78 // 4.39

Solution:

Corresponding wattle thickness before and after treatment form matched pairs.

The data for the test are the differences between the wattle thickness at pretreatment and posttreatment.

μd = wattle thickness at pretreatment minus wattle thickness at posttreatment

Pretreatment. Posttreatment diff

1.05 3.48 -2.43

1.01 5.02 -4.01

0.78 5.37 -4.59

0.98 5.45 -4.47

0.81 5.37 -4.56

0.95 3.92 -2.97

1 6.54 -5.54

0.83 3.42 -2.59

0.78 3.72 -2.94

1.05 3.25 -2.2

1.04 3.66 -2.62

1.03 3.12 -2.09

0.95 4.22 -3.27

1.46 2.53 -1.07

0.78 4.39 -3.61

Sample mean, xd

= (-2.43 - 4.01 - 4.59 - 4.47 - 4.56 - 2.97 - 5.54 - 2.59 - 2.94 - 2.2 - 2.62 - 2.09 - 3.27 - 1.07 - 3.61)/15 = - 3.264

xd = - 3.264

Standard deviation = √(summation(x - mean)²/n

n = 15

Summation(x - mean)² = (- 2.43 + 3.264)^2 + (-4.01 - 3.264)^2 + (-4.59 - 3.264)^2+ (-4.47 - 3.264)^2 + (-4.56 - 3.264)^2 + (-2.97 - 3.264)^2 + (-5.54 - 3.264)^2 + (-2.59 - 3.264)^2 + (-2.94 - 3.264)^2 + (-2.2 - 3.264)^2 + (-2.62 - 3.264)^2 + (-2.09 - 3.264)^2 + (-3.27 - 3.264)^2 + (-1.07 - 3.264)^2 + (-3.61 - 3.264)^2 = 627.32444

Standard deviation = √(627.32444/15

sd = 6.47

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

1) The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 15 - 1 = 14

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (- 3.264 - 0)/(6.47/√15)

t = - 1.95

We would determine the probability value by using the t test calculator.

p = 0.036

Assume alpha = 0.05

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis. Therefore, we can conclude that at a significance level of 5%, treatment with PHA increase wattle thickness

Answer:

  8r^4

Step-by-step explanation:

  [tex]\sqrt{64r^8} =\sqrt{(8r^4)^2}=\boxed{8r^4}[/tex]

Answer:

8r^4

Step-by-step explanation:

Answer:

k is equal to 42

Step-by-step explanation:

Answer:

longest side

Step-by-step explanation:

In a triangle the angle with the greatest measure is always opposite the​ longest side.

Answer:

Opton A

Step-by-step explanation:

In the chi-square test of association, as the difference between the observed and expected proportions increases, the chi-square test statistic also increases. This is because if the claim made in the null hypothesis is true: the claim that frequency of the observed is equal to that of the expected (Oi = Ei) then, the observed and the expected values are close to each other and the difference Oi − Ei  is small for each category and the chisquare test statistic is small.

But when the observed data does not fit to what is expected  as of the null hypothesis, the difference between the observed and  expected values, Oi − Ei  is large producing a large chi square statistic.

Answer:

cộng vế theo vế ta đc :

-2x=-4<=>x=2

thay x=2 vào 1 trong 2 ptrình ta đc: y=-5

Answer:

The missing angle in Jose's triangle is 180 - 103 - 22 = 55° and since both triangles have two congruent pairs of corresponding angles the answer is yes.

Answer:

Yes

Step-by-step explanation:

They are similar by angle-angle similarly theorem

In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar . (Note that if two pairs of corresponding angles are congruent, then it can be shown that all three pairs of corresponding angles are congruent, by the Angle Sum Theorem.)

Answer:

C

Step-by-step explanation:

Slope Formula is used from 2-5

Which is

Slope Formula = Rise/Run

Slope Formula = y₂-y₁/x₂-x₁

Answer:

yes

Step-by-step explanation:

sin 30 = 0.5

sin-1 = 30

Answer:

[tex]7/4[/tex]

Solution:

[tex]\frac{7}{9} /\frac{4}{9}[/tex]

Reciprocal.

[tex]7/9(9/4)[/tex]

Multiply.

[tex]\frac{63}{36}[/tex]

Simplify

[tex]\frac{7}{4}[/tex]

Answer:

15089582 = 1.5089582 x 10^7

Step-by-step explanation:

6,000,000+9000,000+80,000+9,000+500+80+2 = 15089582

15089582 = 1.5089582 x 10^7

Answer:

A=(4,0) and B = (6,1)

We can find the slope with this formula:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m= \frac{1-0}{6-4}= \frac{1}{2}[/tex]

Now we can find the y intercept using one of the points like this:

[tex] 0 = \frac{1}{2} *4 +b[/tex]

And then b would be:

[tex] b = -2[/tex]

And the equation would be given by:

[tex] y= \frac{1}{2}x -2[/tex]

And the best option is:

y = one-half x minus 2

Step-by-step explanation:

In order to find the equation for the line we can use two points and let's take:

A=(4,0) and B = (6,1)

We can find the slope with this formula:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m= \frac{1-0}{6-4}= \frac{1}{2}[/tex]

Now we can find the y intercept using one of the points like this:

[tex] 0 = \frac{1}{2} *4 +b[/tex]

And then b would be:

[tex] b = -2[/tex]

And the equation would be given by:

[tex] y= \frac{1}{2}x -2[/tex]

And the best option is:

y = one-half x minus 2

Answer:

C

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

The absolute change in game length is ...

  (180 min) -(150 min) = 30 min . . . . change in game length

__

The relative change is expressed as a fraction of the original game length:

  (30 min)/(150 min) × 100% = 20% . . . . relative change in game length