Amare is building a rectangular fence. Originally, he plans to build an 18 ft by 14 ft fence but later decides to increase each dimension by x feet.

Which equation represents the new perimeter of the fence?


P = (18 + x ) + (14 + x )

P = (18 + 2x ) + (14 + 2x )


P = 2(18 + x ) + 2(14 + x )


P = 2(18 + 2x ) + 2(14 + 2x )

Answer:

The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of college students who owned cars revealed the following: out of 133 cars, 31 had stick shifts.

This means that [tex]n = 133, \pi = \frac{31}{133} = 0.233[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 - 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.173[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 + 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.293[/tex]

The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).

9.5 ft

Step-by-step explanation:

trust in me pls I am serious this is the right answer

Answer:

Hours are equal: 7.2

Cost of service are equal: 51.4

Step-by-step explanation:

Happy Paws:

y = 4.5h + 19

Woof Watchers:

y = 5.75h + 10

To solve for the hours are equal:

y = 4.5h + 19

y = 5.75h + 10 (Multiply by -1)

y = 4.5h + 19

-y = -5.75h - 10

0 = -1.25h + 9

-9 = -1.25h

h = 7.2

To solve for when the services are equal:

y = 4.5h + 19

y = 4.5(7.2) + 19

y = 32.4 + 19

y = 51.4

Answer:

180 - 35 - 74 = 71 degrees is the angle value that is right next to 35 degree angle.

35 + 71 = 106

180 - 106 = 74.

So w = 74 degrees.

Answer:

C

Step-by-step explanation:

Can I have crown

Answer:

[tex] \infty \infty [/tex]

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

Answer:

65 degrees

Step-by-step explanation:

180-115=65 degrees

The line that 115 degrees is on is equal to 180.

Answer:

39 sq feet

Step-by-step explanation:

Answer:

no, the backyard is only 150 square ft. so a pool with an area of 379.94 square ft will not fit

Step-by-step explanation:

10×15=150

Answer:

40% chance

Step-by-step explanation:

Take the number of horses total and divide the number of bay horses.

Answer:

P=5

Step-by-step explanation:

-6(2p + 1) = -7p - 31

Expand -6(2p+1)

Apply distributive law;

a=-6, b=2p, c=1

=-6*2p+(-6)*1

=-6*2p-6*1

Simplify; -6*2p-6*1

=-12p-6

-12p-6=-7p-31

Add 6 to both sides;

-12p-6+6=-7p-31+6

simplify;

-12p=-7p-25

Add 7p to both sides;

-12p+7p=-7p-25+7p

Simplify;

-5p=-25

Divide both sides by -5

-5p/-5=-25/-5

Simplify:

p=5

Answered by the One and Only #DrippQueenMo

Answer:

p=5

Step-by-step explanation:

first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.

Step-by-step explanation:

Hi,

This is an acute angle.

RST, STR, and TRS are the three different ways to represent/name this angle.

I hope this helps :)

Answer:

2x^3

Step-by-step explanation:

The equation that represents this relationship will be y = 2u³.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The value of y varies directly as the cube of u. y = 54 when u = 3.

y ∝ u³

Removed the proportionality constant and place the equal sign with constant k.

y = ku³

Put y = 54 when u = 3, then the value of k will be

54 = k (3)³

54 = 27k

k = 2

Then the equation that represents this relationship will be

y = 2u³

The equation that represents this relationship will be y = 2u³.

More about the ratio and the proportion link is given below.

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Question:

Identify the sets that contain 2 as an element. (Check all that apply.)

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]

[tex]C.\ \{2, \{2\} \}[/tex]

[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]

[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]

[tex]F.\ \{\{\{2\}\}\}[/tex]

Answer:

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

[tex]C.\ \{2, \{2\} \}[/tex]

Step-by-step explanation:

Required

For which of the options is 2 an element

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

The elements of this set starts from 2, then 3 and continues as thus.

Hence: 2 is an element

[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]

From the given elements in the above set, 2 is not listed.

Hence: 2 is not an element of this set

[tex]C.\ \{2, \{2\} \}[/tex]

Here, 2 is listed as an element, 2 is also listed as a subset.

Since 2 is listed as an element, then 2 is an element of the set.

[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]

Here, 2 is listed as a subset of {2} and also as a subset of subset of {{2}}.

Since 2 is not listed as an element itself, then 2 is not an element of the set.

[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]

Here, 2 is listed as a subset of {2} and also as a subset of subset of {2,{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

[tex]F.\ \{\{\{2\}\}\}[/tex]

Here, 2 is listed as a subset of subset of {{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

Answer:

how

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

There a 5 chains (each with 3 links). We take one chain and cut all three links. Now we are left with only four chains. This requires only 3 joints. Exactly the number of links I have. Therefore, the lowest number of cuts is three.

The number of different links must be cut a welded should be considered as the 3.

Since

Zack has 13 chains at 5 links each. He wants to combine them

So here we considered only one chain and then cut off all 3 links

So the remaining should be four chains and it needs only 3 joints.

hence, The number of different links must be cut a welded should be considered as the 3.

Learn more about number here: https://brainly.com/question/24585170

Answer:

I believe it should be C...............

Answer: (a)

Step-by-step explanation:

Given

The pattern is 2, 4, 16, 256...

From the pattern, we can see that the next term is square of the previous i.e.

[tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex][tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex]

So, for the [tex]n^{th}[/tex] term, the function is [tex]f(n)[/tex]

For the next term, it is [tex]f(n+1)[/tex]

So,

[tex]\Rightarrow f(n+1)=[f(n)]^2[/tex]

Answer:

c

Step-by-step explanation:

$0.70 is the answer........

Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem

Answer:

4 / 15

Step-by-step explanation:

For the numbered spinner :

P(landing on 2) = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3) = 3

Required outcome = (1) = 1

P(landing on 2) = 1 /3

Lettered spinner :

P(does not land on b)

Total possible outcomes = (A, B, C, D, E)

Required outcome = (a, c, d, e)

P(does not land on b) = 4 / 5

Hence,

P(lands on 2, does not land on b) in this scenario is :

1/3 * 4/5 = 4 / 15

The population of The Colony after 2 hours is d. 64​

The given parameters are:

Initial, a = 1

Rate, b = 2 every 20 minutes

An exponential function is represented as:

y = ab^x

So, we have:

y = 1 * 2^x

y = 2^x

There are six 20 minutes in 2 hours.

This means that:

x = 6

So, we have:

y = 2^6

Evaluate

y = 64

Hence, the population of The Colony after 2 hours is d. 64​

Read more about exponential functions at

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Answer:

t=7m

Step-by-step explanation:

In this equation, "t" represents time, and "m" represents miles. Each mile is 7 minutes. To find how much time this run will take her, multiple the amount of miles she will run by 7.

For example:

If Tinley runs 13 miles you should do-

7(13)= 91

13 miles would take Tinley 91 minutes

Answer:

y = 1/2x - 4

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will  have a slope of 1/2.

Plug this value (1/2) into your standard point-slope equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 1/2(4) + b

To find b, multiply the slope and the input of x (4)

-2 = 2 + b

Now, subtract 2 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 1/2x - 4

This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)

Hope this helps!

9514 1404 393

Answer:

  y = 1/2x -4

Step-by-step explanation:

We presume the given line is ...

  y = -2x +8

This is in slope-intercept form, which allows us to determine easily that the slope of this line is -2.

A perpendicular line will have a slope that is the opposite reciprocal of -2:

  m = -1/(-2) = 1/2

The y-intercept of the desired line can be found from the point (x, y) = (4, -2) using the equation ...

  b = y - mx

  b = -2 -(1/2)(4) = -4

Now, we know the slope and y-intercept of the desired perpendicular line through (4, -2), so we can write its equation as ...

  y = 1/2x -4

__

Additional comment

"Slope-intercept form" is ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Answer:

1, 2, 3, 1

Step-by-step explanation:

In a line plot, the results are lined up, in order. The number of dots above a number correlates to how many times that result, number was the result.

Just count how many times that number appears. Also see if you can simply ant fractions.

Answer:

6 x 5= 30

Step-by-step explanation:

6(5)=30

A (-12, 14)

B (8, 8)

C (-12, -4)

D (0, -14)

E (14, 0)

F (0, 0)

Answer:

A (-12,14)

B ( 8,8)

C (-12,-4)

D (0,-14)

E (14,0)

F (0,0)

Step-by-step explanation:

(X,Y)

X coordinates go before Y coordinates in a given coordinate pair hope this helps!