Please answer this correctly

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:

k is equal to 42

Step-by-step explanation:

Answer:

cộng vế theo vế ta đc :

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

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

Answer:

yes

Step-by-step explanation:

sin 30 = 0.5

sin-1 = 30

Answer:

I believe it is 12, but I'm not sure.

Step-by-step explanation:

If there is 2 of the first hose, then it can fill the pool twice as fast, so thats 6 hours. (12 divided by 2 = 6).

If the second hose takes 6 hours more than that, then that would be 12 hours.(6+6=12)

Answer:

0.75

Step-by-step explanation:

One dollar/four quarters-1.00

three quarters-0.75

two quarters-0.50

one quarter-0.25

Hope this helps

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:

[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.

Answer:

16.39%

Step-by-step explanation:

We have a total number of forms, which are as follows:

-Harry Potter will serve as President AND Ron will serve as Vice President AND anyone will serve as Treasurer:

p1 = 1P11 = 11! / (11-1)! = 11

-Harry Potter will serve as President AND Hermione will serve as Vice President AND anyone who serves as Treasurer is:

p2 = 1P11 = 11! / (11-1)! = 11

- Harry Potter will not serve as President means that no one except Harry Potter (12 remaining students) serve in three locations:

p3 = 12P3 = 12! / (12-3)! = 1320

in total it would be:

11 + 11 + 1320 = 1342

Now the favorable cases are:

- Hermione becomes the president of this group, which means that anyone except Hermione and Harry Potter (11 remaining students) serve in the remaining two places:

p1 = 11P2 = 11! / (11-2)! = 110

- Ron becoming the president of this group means that anyone except Ron and Harry Potter (remaining 8 students) serve in the remaining two places:

p2 = 11P2 = 11! / (11-2)! = 110

adding it would be: 110 + 110 = 220

now then the final probability is the favorable cases among the totals:

220/1342 = 0.1639

Which means that the probability is 16.39%

Answer:

33% probability

1/3

Step-by-step explanation:

100% Hermione though.

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:

0, 1/10, 2/10, 3/10, 4/10, or

Step-by-step explanation:

-4/7 is about -0.57 in decimal form,

1/2 is 0.5

So we need to find 5 rational numbers between -0.58 and 0.5

A rational number is a number which can be expressed as a fraction.

0 can be expressed as 0/10

0.1 can be expressed as 1/10

0.2 can be expressed as 2/10

0.3 can be expressed as 3/10

0.4 can be expressed as 4/10

So just use those.

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:

Non-Random Sample

Step-by-step explanation:

A sample in which each element has an equal chance of being selected is known as a random sample. Otherwise, a sample is said to be a non - random sample.

An engineer selects five cameras on Monday, Tuesday, and Wednesday at random between 3 pm and 4 pm each day. So, the cameras that are not in the process of production between 3 pm and 4 pm have no chances of being selected.

So, each camera does not have an equal chance of being selected.

This is an example of a non - random sample.

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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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:

0

Step-by-step explanation:

Since the original: 6 is not either the largest or the smallest, it wouldn't affect the range

The only numbers that can affect the range when replaced are the greatest and the least values: 5 and 9

Answer:

A) The population of this survey is the registered voters in the city of Raleigh.

B) 9500

C) 200

D) 0.325

E) 3088

Step-by-step explanation:

A) The population of this survey is the registered voters in the city of Raleigh.

B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.

c) Sample size is defined as the number of individual samples in a statistical test. Here the sample size is the 200 randomly selected registered voters. It is denoted as "n".

d) The sample statistic for the proportion of voters surveyed who said they'd vote for Brown would be:

p' = voters for brown / sample size

[tex] p' = \frac{65}{200} = 0.325 [/tex]

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.325

E) The expected number of voters for Brown based on the sample:

0.325 * 9500 = 3087.5

Approximately 3088

The expected number of voters for Brown based on the sample might be 3088 voters.

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.

Learn more about algebraic identities here:

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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:

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:

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:

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:

longest side

Step-by-step explanation:

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

Answer:

52 US fluid ounces

Step-by-step explanation:

6 fluid ounces

How many fluid ounces in a pint? There are 16 fluid ounces in a pint.

Answer: 52 fluid ounces

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

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:

-75 and 75

Step-by-step explanation:

The two numbers chosen or plotted by them are:

-75 and 75

Step-by-step explanation:

It is given that Bernita and Derek each plot a number on a number line with the properties:

1. The two numbers they have plotted are unique or different.

2. Also there absolute value is same.

3. The sum of the absolute values of the numbers is 150.

We know that Absolute value of a positive number is a number itself and absolute value of a negative number is it's inverse.

So the two numbers that satisfy the above three properties are:

-75 and 75.

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:

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:

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