The table shows data collected from 14 people. Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5 Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74 Determine the correlation coefficient for the data. Round to the nearest hundredth.

Answer:

let this previous income be x

then 8% of (x-2000) = 3000

     or, 8/100*(x-2000) = 3000

or, x - 2000 = 3000/0.08

or, x -2000 = 37500

x = 37500+2000 =39500 is his previous year salary

Step-by-step explanation:

Answer:

number one is 90°

Step-by-step explanation:

number 9 is an acute angle

Answer:

1. Perpendicular

2. Complementary

3. A vertex

4. Midpoint

5. Vertical

6. Angle bisector

7. Supplementary

8. Coplanar

9. An acute angle

10. Congruent

Answer:

This simple formula: area = 1/2 x perimeter x apothem.

It means: Perimeter × the sum of the lengths of all the sides.

Hope it helps!<3

Answer:

The surface of the polygon is the total space or area that is limited by the borders of the polygon.

Step-by-step explanation:

This area is the amount of space limited by the borderlines and occupied by a polygon. By definition, the sides of the polygon are the same in size. The area of any polygon can be defined by dividing the polygon into triangles.

Step-by-step explanation:

42 boys can count.

the probability that any pupil is a boy and can count?

0.42

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

Answer:

4

Step-by-step explanation:

sorry if it wrong

Answer:

4

Step-by-step explanation:

The answer is 4 because if you can count, then you can see that there 4 ticks/lines between each number.

(TIP: Do NOT count the actual number, just the line for the answer)

Answer:

16x²

Step-by-step explanation:

since all sides of a square are equal, we just multiply 4x by 4x. this gives us 16x².

The area of square with side length 4x is 16x.

A square is a two-dimensional closed shape with 4 equal sides and 4 vertices.

Given,

The side length of a square is 4x

We need to find the area of square.

As we know that area of square = 4a.

Where a is the length of side of a square.

In a square all the four sides will have same length.

a=4x

Area of square=4(4x)

=16x

Hence the area of square with side length 4x is 16x.

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Correct principal is $1200.

Answer:

R = 6.736%

Step-by-step explanation:

Formula for simple interest is;

Interest = PRT/100

We are given;

Principal; P = $1200

Time; T = 6 years

Interest; I = $485

Rate; R =?

From, Interest = PRT/100, we have;

485 = 1200 × R × 6/100

Making R the subject gives;

R = 485 × 100/(6 × 1200)

R = 6.736%

Answer:

6 orders of the 10 burrito special

Step-by-step explanation:

10 burritos for $12

60 burritos for $72.

6 burritos for $7.50

10 burritos for $75

So the 10 burritos for $12 is better.

Hope this helps :D

Answer:

The function domain is:

{x|x ≥ -4}

Hence, option 4 is correct.

Step-by-step explanation:

Given the expression of the function

[tex]f\left(x\right)=\sqrt{x+4}[/tex]

We know that the domain of the function is the set of input values for which the function is real and defined

We know that the value inside the radical expression must be greater than or equal to 0 so that the function remains defined.

so

[tex]x+4\ge \:0[/tex]

subtract 4 from both sides

[tex]x+4-4\ge \:0-4[/tex]

simplify

[tex]x\ge \:-4[/tex]

Therefore, the function domain is:

{x|x ≥ -4}

Hence, option 4 is correct.

Answer:

12.4+16.9= 29.3 feet

Step-by-step explanation:

hope this helps

Answer:

table c

Step-by-step explanation:

Answer:

The answer is table b

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

<2 and <4 are vertical angles  <2=<4

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Answer:

1560 breaths

Step-by-step explanation:

130/5=26

26*60

1560 breaths

Answer:

Option A

Step-by-step explanation:

We know that Mia's frog only jumped [tex]\frac{4}{5}[/tex] the distance of Chloe's frog - which means that Mia's frog must be behind Chloe's frog. Therefore, Mia's frog must also not be in first place.  

We also know that Tony's frog jumped [tex]1\frac{1}{4}[/tex] the distance of Chloe's frog - meaning that Tony's frog jumped further than Chloe's frog, since it is above 1. So, Tony's frog is ahead of Chloe's frog. Therefore, Chloe's frog cannot be in first place either.

Let's look at the clues gathered so far:

Using logic, the only option that meets these requirements would be option A. Tony would be ahead of Chloe, Mia would be behind Chloe, and neither of the girls' frogs would be in first place. You could also use the process of elimination to get rid of the other answers.

Answer:

muliply those numbers. and then divide from the amount of money she has.

Step-by-step explanation:

Answer:

Albert 4 both

Step-by-step explanation:

Albert is debting

I think its Albert, but dont take my word for it.

Answer:

B

Step-by-step explanation:

Graph B represents the values of x when x²<25.

If you take the square root of both sides, you get ±x<5

This means that x is any value in between, but not including, -5 to +5.

Answer:

i think its b

Step-by-step explanation:

Answer:

20g+60g+30g+30g=140g.

Answer: 0.14kg

Step-by-step explanation:

convert to kilograms by moving the decimal over 3 places to the left.  

Answer:

Step-by-step explanation:

wxz = wxy + yxz

180 = x + 106

x = 180 - 106

x = 74°

Answer:

A. subtract 75 from both sides

Answer:

Slope= 30

Step-by-step explanation:

What does the slope tell me?

It tells me that every time I try to find the slope with different points I get 30 for slope.

Answer:

12.8

Step-by-step explanation:

13 feet is the length of the other side of the room.

The formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here, 2inches =5feet thus 1 inch is equivalent to 5/2 feet and let the length of the other side is x

now area of the room is 24.96 inches²

Thus in feet the area is 24.96×(5/2)²=156 feet²

Also 12 × x = 156

             x  = 13 feet

Hence the length of the other side is equal to 13 feet

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Answer:

The total interest the account earned was $88.41.

The ending balance in the account is $1,163.41.

The account earned $25.26 in interests in the first year.

Step-by-step explanation:

The simple interest is one that does not accumulate to the initial capital, that is to say that the capital does not accumulate over the years.

Therefore, if Brian deposited $ 1,075 in an account with an interest of 2.35% per year for 3 and a half years, to obtain the total interest generated by the account, the following calculation must be performed:

(1,075 x 2.35 / 100) x 3.5 = X

25.2625 x 3.5 = X

88.41 = X

Thus, the interest generated during the first year was $ 25.26, while the accumulated interest during 3 and a half years was $ 88.41. In turn, since 88.41 + 1,075 equals 1,163.41, that is the resulting amount after the end of the investment.

Answer:

x = 7

Step-by-step explanation:

[tex] - 4x + 2(5x - 6) + 2x = 44[/tex]

[tex] = > - 4x + 10x - 12 + 2x = 44[/tex]

[tex] = > 8x - 12 = 44[/tex]

[tex] = > 8x = 44 + 12 = 56[/tex]

[tex] = > x = \frac{56}{8} = 7[/tex]

Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is   [tex]0.748  <  p <  0.842[/tex]      

Step-by-step explanation:

From the question we are told that

     The sample size is  n = 200

     The number of people that watched the educational television is [tex]k = 159[/tex]

Generally the sample proportion is mathematically represented as

               [tex]\^ p = \frac{159}{200}[/tex]

=>               [tex]\^ p = 0.795[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>     [tex]E =  1.645  * \sqrt{\frac{0.795 (1- 0.795)}{200} } [/tex]

=>     [tex]E = 0.04696 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>    [tex]0.795  -0.04696  <  p <  0.795 + 0.04696[/tex]

=>    [tex]0.748  <  p <  0.842[/tex]