Suppose that 50% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local station. A survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.585. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only .50? (Round the answer to four decimal places.)

Given:

The graph of [tex]y = ax^2+c[/tex] contains the point (2, 14).

To find:

The point which lies on the graph of [tex]y = a(x-2)^2+c[/tex].

Solution:

Consider the given equations are

[tex]y_1 = ax^2+c[/tex]     ...(i)

[tex]y_2 = a(x-2)^2+c[/tex]      ...(ii)

The translation is defined as

[tex]g(x)=f(x+a)[/tex]

where, a is horizontal shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

From equation (i) and (ii), it is clear that a=-2. So, graph of [tex]y = ax^2+c[/tex] shifts 2 units right to get the graph of [tex]y = a(x-2)^2+c[/tex].

It means each point on [tex]y = ax^2+c[/tex] shifts 2 units right.

[tex](x,y)\to (x+2,y)[/tex]

(2, 14) lies on [tex]y = ax^2+c[/tex].

[tex](2,14)\to (2+2,14)[/tex]

[tex](2,14)\to (4,14)[/tex]

Therefore, (4,14)  must be lies on [tex]y = a(x-2)^2+c[/tex].

Angle 1 and 3:  Vertical Angles

Angle 4 and 8: Corresponding Angles

Angles 4 and 6: Alternate Interior Angles

Angles 3 and 5: Alternate Interior Angles

Angles 7 and 8: Linear Pair

Angles 1 and 7: Alternate Exterior Angles

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Explanation:

Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.

Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.

Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.

A linear pair of angles are adjacent and supplementary (meaning they add to 180).

Answer:

A. 60√3 ft²

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve.

1-4/-4-0

-3/-4

3/4

Best of Luck!

Answer:

63

Step-by-step explanation:

Because the two labelled angles make up a line, we know their sum is 180.

So, add them and set them equal to 180:

2x + (x - 9) = 180

Combine like terms:

3x - 9 = 180

3x = 189

x = 63

Thus, the answer is 63.

~ an aesthetics lover

Answer:

7x^2-20

Step-by-step explanation:

Answer:

1. -2

2.-10

Step-by-step explanation:

1) AE = BD; CD = CE

Given

2) AE = AC + CE

Subtraction Property of Equality

3) AC +CD= BC + CD

Segment Addition Postulate

4) AC +CD= BD

Symmetric Property of Equality

5) BD = AC + CD

Segment Addition Postulate

6) BD =BC+CD

Transitive Property of Equality

7) AC = BC

Substitution Property of Equality

I think this is it

To prove that AC and BC are congruent, all usable postulates and theorems must be stated, with valid reasons.

The proof that [tex]AC \cong BC[/tex] is as follows:

Given:

[tex]AE = BD, CD= CE[/tex]

I've added as an attachment, the table that needs to be completed.

[tex]1.\ AE = BD, CD= CE \to[/tex] Given

Because the given parameters are:  

[tex]AE = BD, CD= CE[/tex]

[tex]2.\ AC \cong BC \to[/tex] Definition of congruence

[tex]3.\ AE =AC + CE \to[/tex] Segment addition postulate

From the attached image, AE is a straight line, and point C is on segment AE.

[tex]4.\ BD=AC +CD \to[/tex] Substitution property of equality

Substitute BD for AE and CD for CE in (2)

[tex]5.\ AC +CD =BD \to[/tex] Symmetric property of equality

The symmetric property of equality states that:

if [tex]a = b[/tex], then [tex]b = a[/tex]

[tex]6.\ BD =BC +CD \to[/tex] Segment addition postulate

From the attached image, BD is a straight line, and point C is on segment BD.

[tex]7.\ AC+CD =BC+CD \to[/tex] Transitive property of equality

The transitive property of equality states that:

if [tex]a = b[/tex] and [tex]b = c[/tex], then [tex]a=c[/tex]

[tex]8.\ AC =BC \to[/tex] Subtraction property of equality

Subtract CD from both sides of (6)

[tex]9.\ AC \cong BC \to[/tex] Proved

Read more about proofs and reasons at:

https://brainly.com/question/11876259

Answer:

2.25

Step-by-step explanation:

-3x+10=5x-8

    +8       +8

-3x+18=5x

+3x     +3x

      18=8x

      _    _

      8    8

   2.25=x

Answer:

6 sheets a minute

Step-by-step explanation:

60 sheets in 10 minutes can be converted to the equation 60/10.

60/10 is equal to 6/1 which can be simplified to 6. So, the answer is 6 sheets per minute.

hope this helps!

Answer:

Step-by-step explanation:

B

Answer:

not a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms

Answer:

False is a Non-polynomial

Answer:

A is incorrect

Step-by-step explanation:

Point x is negative, so you need to subtract the negative. In A, they are subtracting 5, not negative 5.

Answer:

4,360

Step-by-step explanation:

      3,178

   +

      1,452        

   =

     4,360

Draw from (3, -1.5) to (-2, 6)

Answer:

Sure yes.

1) x > - 3 or x < 3 means that the solution set is all the numbers greater than - 3 and all the numbers smaller than 3. That is, this union of intervals: (-3,∞) U (-∞,3),  which is all the real numbers.

2) x > -3 and x <3 means that the solution set is the numbers that are at the same time greater than -3 and smaller than 3. That is the intersection of the intervals: (-3,∞) ∩ (-∞,3), which is the interval (-3, 3).

Step-by-step explanation:

looked it up and got it right on edg 2020

Answer:

Sample Response: Yes, if you change the type of compound inequality, the solution set will change. The solution set of the “and” compound inequality contains values for x that satisfy both inequalities, which are values between –3 and 3. The solution set of the “or” compound inequality contains values for x that satisfy either or both inequalities, which includes all real numbers.

Step-by-step explanation:

Answer:

[tex]d = 15.620499[/tex]

Step-by-step explanation:

To solve this question, we must use the following distance equation:

[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Plug your coordinates into the equation. Remember, a coordinate is denoted as (x, y).

[tex]\sqrt{(12-2)^{2} + (13-1)^{2}}[/tex]

[tex]\sqrt{(10)^{2} + (12)^{2}}[/tex]

[tex]\sqrt{100+144}[/tex]

[tex]\sqrt{244} = 15.620499[/tex]

Answer:

C

Step-by-step explanation:

0.38 = 19/50

Hope this helps!

Answer:

19/50

Step-by-step explanation:

19×100=1,900

1,900÷50=38%

Answer:

Step-by-step explanation:

Did u get an answer???

Answer: The answer is A.  

Step-by-step explanation:

since $12 is the amount of money he gets from selling scarves you have to subtract $2 from that because that's the amount of money he losses to make the scarves. then you have to subtract $45 because he had to pay for the booth so the answer is P(x) = 10x - 45

Answer:

it's 6 cubic feet look you must count all the sides together also I took the test this cube has 6 sides so your answer will be 6 cubic feet ;)

Step-by-step explanation:

not rlly surw if you are supposed to be putting dots there but if you are, I would put one a little bit before the first line for the 82.4 and one in the middle of the 600 and the line in the middle

Answer:

Answer:

f=

5

x

Step-by-step explanation:

Let's solve for f.

fx=

2x

x

+3

Step 1: Divide both sides by x.

fx

x

=

5

x

f=

5

x

Answer:

Using front estimation, the cost of all the items is $450 and it will take 9 months to save enough

Step-by-step explanation:

Here, firstly we want to use front-end estimation to estimate the cost of all the items.

So we want to use front end estimation to add;

325 + 53 + 33 + 71

Thus; 325 becomes 300, 53 becomes 50, 33 becomes 30

while 71 becomes 70

So the estimated total will be;

300 + 50 + 30 + 70 = 450

Now , since he saves $50 per month, the number of months it will take = 450/50 = 9 months

Answer:Total Weight of Bowl W = 340 + (12.5T) grams

Step-by-step explanation:

Answer:

y= -3+2x/3 ...i think

Step-by-step explanation:

Answer:

sorry don't know the answers and please follow me

7.810 Rounded to the nearest thousandth

Answer:

80

Step-by-step explanation:

Angle VSU = 100. Angles TSU is a linear pair with angle VSU so adding them together equals 180. 180-100=80.