Find the circumference. (In terms of pi)

Answer:

Y^= 1.767 + 0.6294X when rounded give s Y^= 1.77 +0.63X

b= 0.6294 rounded to 0.63

a= 1.77

The predicted lines are for each X and Y

3.340,3.96, 4.914, 5.228, and 5.543

Step-by-step explanation:

The data given is

Length (m)    Speed (m/s)              Predicted Line  

2.5                  3                                    3.340  

3.5                 4.5                                  3.96

5                   4.8                                  4.914

5.5                5.2                                 5.228

6                   5.5                                 5.543

The calculations are

                 Xsquare    XY   Y     X

                 6.25    7.5  3      2.5

                 12.25 15.75 4.5      3.5

                    25 24         4.8      5

                  30.25 28.6 5.2      5.5

                   36 33           5.5      6

Total       109.75 108.85   23         22.5

The estimated regression line of Y on X is

Y^ = a +bX

and two normal equations are

∑Y = na + b∑X

∑XY= a∑X + b∑X²

Now X`= ∑X/ n= 22.5/5=4.5

Y`= ∑Y/ n= 23/5= 4.6

b= n∑XY- (∑X)(∑Y) / n∑X²- (∑X²)

Putting the values

b= 5(108.85) - (23)(22.5)/ 5(109.75)- (22.5)²

b= 544.25-517.5/ 548.75-506.25

b= 26.75 /42.5

b= 0.6294

and

a= Y`- bX~= 4.6- 0.6294(4.5)= 4.6-2.823= 1.767

Hence the

desired estimated regression line of Y on X is

Y^= 1.767 + 0.6294X

Y^= 1.77 +0.63X

The estimated regression co efficient b= 0.6294 indicates that the values of Y increase by 0.6294 units for a unit increase in X.

Answer:

X= 40

Step-by-step explanation:

if you compare the shapes, the X square is half of 6. so i added 6 and 3, then 2 and 3, then multiplied it, and the answer is 40.

Answer:

a.

Required equation is

b.

Solve the equation

Answer:

83.33%

Step-by-step explanation:

Amount she eats everyday = 150g

Amount she eats now = 25g

By what percent did Amanda decrease the amount of sugar she eats?

Percentage decrease in the amount of sugar she eats = (150 g - 25g) / 150g × 100

= 125g / 150g × 100

= 0.8333333333333 × 100

= 83.33%

Percentage decrease in the amount of sugar she eats = 83.33%

Answer:

31.1 best answer

sorry if it's wrong

28.8%​ is the probability that a data value is between 48 and 52.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

First, we need to standardize the values and use a standard normal distribution table or calculator.

The standardized value of 48 is:

z = (48 - 48) / 5 = 0

The standardized value of 52 is:

z = (52 - 48) / 5 = 0.8

Now we need to find the probability that a data value is between z = 0 and z = 0.8 in a standard normal distribution. We can use a standard normal distribution table or calculator to find this probability.

Using the table or calculator, we can find that the probability of a data value being between z = 0 and z = 0.8 in a standard normal distribution is approximately 0.2881.

Rounding this answer to the nearest tenth of a percent, we get:

P(48 < x < 52) ≈ 28.8%

Therefore, the answer is D, 28.8%.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

Answer:

Square Feet, area is always measured in square units

Answer:

assuming the prices did not change during the day,

8o+g=460

6o+3g=480

18o=900

o=50

g=60

so, oranges cost $0.50, grapefruit cost $0.60

Step-by-step explanation:

do good !

Answer:

oranges $0.5   grapefruit 0.6

Step-by-step explanation:

o = oranges

g= grapefruit

      8o +1 g = 4.60

      6o+3g= 4.80

Multiply the first by  -3

-24o -3g = -13.80

6o    +3g  = 4.80

ADD    BOTH  (3g will be cancelled)

-18o = -9.00

    o = 9/18 = 0.5

8(0.5) +1g= 4.60

4.00 +g = 4.60

g = 0.60

7. 16.48

8. 9

I hope this helped!

Step-by-step explanation:

pls mark brainliest

Answer:

7. 16.485 feet

8.answer is 9.42 feet but when u round off it is 9 feet.

Step-by-step explanation:

Answer:

9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs

Explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.

12 * 4/5 = 9.6 ounces

10 * 4/5 = 8 ounces

15 * 4/5 =  12 ounces

5 * 4/5 = 4 eggs

Answer:

the answer is d, sorry for the late answer, I just saw this

Step-by-step explanation:

ok so finding the volume of a prism, the formula for that is volume= base area * height or v=b*h

when I saw this problem I realized that I had to find the base area, in this case it's a hexagon. The formula for a regular polygon is A= 1/2 p*a p is perimeter and a is the apothem.

- I suggest you write those formulas down if you have trouble memorizing them.

So now time for the math!!!

so the perimeter of the hexagon is simply

[tex]7 \times 6 = 42 [/tex]

and the apothem is the perpendicular line so now simply plug those in to the polygon formula and you get...

[tex]42 \times 8.1 = 340.2[/tex]

[tex]340.2 \div 2 = 170.1[/tex]

now that you have the base area, simply plug in the height and area into the volume of a prism formula, and you get

[tex]170.1 \times 21 = 3572.1m ^{3} [/tex]

- I really hope this helps, I'm not the best at math and when I don't understand something it really stresses me out so pls ask questions if you have them :)

Answer:

Rhiannon Taylor :)

Step-by-step explanation:

I do not speak spanish and I love spicy chips!

==========================================================

Explanation:

He starts off with 200 cards. Then he adds on 25w more cards for each week (w). Overall, he'll have 200+25w cards

We can think of it like this:

So that's another way to see where the 25w comes from.

The expression 200+25w is the same as 25w+200. This is because we can add two numbers in any order.

------------

Since he wants to know when he'll have more than 750 cards, this means we set 25w+200 greater than 750.

That's how we get to the answer of 25w+200 > 750

Notice how there isn't a line under the inequality sign. We aren't using the "greater than or equal to" symbol here. We want to know when the cards gets over 750, but we don't want to know when it's equal to 750.

Answer:

Do you really mean by -9 or cause I'm just confused but if you meant by 19 then this could help. I had my mom do whatever she could put as  the answer so yeah

Step-by-step explanation:

a*b=18 ____[1]

a+b=19____[2]

[2] a=19-b ___[3]

put [3] in [1]

(19-b)*b = 18

19b-b^2 = 18

b^2-19b+18 = 0

(b-18)(b-1) = 0

so b=18 or b=1

if b=18 then a=19-18=1

if b=1 then a=19-1=18

SO two factors are 1 and 18

Answer:

64º

Step-by-step explanation:

180 - 116 = 64

From 12 different letters, 3326400 arrangements can be made using the letters in the word CARELESSNESS.

When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Among the 12 letters in CARELESSNESS,

there are 4 S’s, 3 E’s, and 1 each of C, A, R, L, N.

There are 12! = 479,001,600 arrangements (permutations) of the 12 letters,

most of which are identical because of repeated letters.

In order that each permutation be distinct, repeat letters have to be accounted for.

4 S’s be in 4! = 24 ways,

3 E’s, in 3! = 6 ways.

And 1! = 1 way.

Distinct permutations as requested,

thus = 12!/(3!)(4!)(1!)

       = 3326400.

Therefore, 3326400  different 12-letter arrangements can be made using the letters in the word CARELESSNESS.

To learn more about the permutation;

https://brainly.com/question/1216161

#SPJ2

Answer:

28.26

Step-by-step explanation:

3.14 x (3x3) = 28.26

Answer:

$482.625 ≈ $482.63

Step-by-step explanation:

[tex]\frac{y}{450}: \frac{7.25}{100}[/tex]

y · 100 = 450 · 7.25

100y = 3262.5

100y ÷ 100 = 3262.5 ÷ 100

y = 32.625

$450 + $32.625

$482.625

Answer:

right triangle

Step-by-step explanation:

because 15 would be the base so 11 and 12 would be the sides and fot the triangle to be acute or obtuse the total of the sides (11+12) has to be lass than the base (15), but it is more 23 so it has to be a right triangle.

Answer:

33.49

Step-by-step explanation:

The equation you need to use is 4/3 * pi * r^3

4/3 * 3.14 * 2^3=33.4933333333333333333333

Answer:

x+10/7.......................

Answer:

1/10

Step-by-step explanation:

P(blue picked) = 8/20 = 2/5

P(green picked with replacement) = 5/20 = 1/4

P(blue, then green) = (2/5)(1/4) = 1/10

Answer:

$576

Step-by-step explanation:

Because the sales price was $480, and the book was marked down 20%, we have to add 20%. 480+20% is now $576.

Thus, the answer is $576.

Answer:

11

Step-by-step explanation:

19 + w = 30

w = 11

Answer:

x > 19/4

interval notation is (19/4, infinity)

Step-by-step explanation:

hope this helps

Answer:

163°.

Step-by-step explanation:

Sum of any pentagon is 540°.

So.

x + 68° + 121° + 103° + 85° = 540°.

x + 377° = 540°.

x = 540° - 377°

x = 163°.

Answer:

https://brainly.com/question/2507596

Step-by-step explanation:

hope you found it

Answer:

(0, -3)

Step-by-step explanation:

:)