Use the diagram to write an equation that describes the position and the radius of ⊙P.




(x – 4)2 + (y + 2)2 = 16


(x + 4)2 + (y – 2)2 = 16


(x + 4)2 + (y – 2)2 = 4


(x – 4)2 + (y + 2)2 = 4

Answer:

About 41.5%

Step-by-step explanation:

Given:

A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.

To Find:

What is the probability that both grapes are red?

Answer choices:

about 39.7%

about 41.5%

about 42.5%

about 44.5%

Solution:

Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .

As the red grapes are 15..

Thus,

The probability of choosing a red grape the first time is 15/23.

Because out of the total 23 grapes only 15 were red grape.

The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice

Hence, the probability of choosing or eating two red grapes will be :

15/23×14/22

=105/253

=0.415

= 41.5%

Therefore, the probability that both grapes are red is about 41.5%

Kavinsky

Answer:

m=1

Step-by-step explanation:

y2-y1

--------   = y/x for slope

x2-x1

m =

y = 4-1

x= -2-(-5)

m (slope) = 3/3

m (slope) = 1

Answer:

Step-by-step explanation:

Step-by-step explanation:

First comes the turn of 5 / 9

Lets see how it is done

1 covert it to decimal by division

By division we get 0.555555555

2 now converting it to percentage by multiplication

Multiply 0.55555555 by 100

We get 55.555555 this the percent form

Same process can be repeated to get the answer to second part

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

3 tons

Step-by-step explanation:

1 ton = 2000 pounds

3 x 2000= 6,000 pounds

6000 > 5999

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Im glad i could help out.

Answer:

169.09 degrees

Step-by-step explanation:

Interior Angle of a polygon with 33 sides = (n-2) x 180/n degrees = (33-2) x 180/33 degrees = 169.09 degrees

33 sides

the size if each interior angle.

[tex] \frac{360}{33} [/tex]

[tex] = 10.91[/tex]

[tex]180 - 10.91[/tex]

[tex] = 169.09[/tex]

[tex] \frac{169.09}{33} [/tex]

[tex] = 5.12[/tex]

hence, the size of each interior angle is 5.12°

Considering the points M and N, the vector MN is component form is given by:

MN = [-20, 2, -4]

The vector is given by the subtraction of the coordinates of the endpoint by the coordinates of the start point.

In this problem, for vector MN, we have that:

Hence:

MN = N - M = [-12 - 8, 6 - 4, -7 - (-3)] = [-20, 2, -4]

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Answer:

D on edge ( MN = (-20, 2 , -4)

Step-by-step explanation:

Answer:

the solution is

4(2x+3)

Step-by-step explanation:

Answer:

210.8 (mean for Luis), 241.5 (mean for Darcy)

Step-by-step explanation:

Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108

2108/10 = 210.8 (mean for Luis)

Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415

2415/10 = 241.5 (mean for Darcy)

Answer:

To find the median number of words in Darcy’s essays, first arrange the values in the data set in ascending order:

210, 228, 231, 231, 236, 244, 245, 245, 259, 286.

Because the number of values in the data set is an even number (10), the median is the mean of the two middle values, the fifth and sixth values, in the data set. The fifth and sixth values are 236 and 244, respectively. So,

median

.

The median number of words in Darcy's essays is 240.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The scale factor would be x1/2

12÷2=6 16÷2=8 24÷2=12

Answer:

D. don't know how? but the answer is in no.D

Step-by-step explanation:

divided 2

Using the given discrete probability distribution, it is found that the probability that a randomly selected student has a grade higher than a C is given by:

P(X > 2).

From the table, it is given by:

Grades A and B are greater than C, hence the probability of getting a grade higher than C is given by:

P(X > C) = P(X = A) + P(X = B) = P(X = 3) + P(X = 4) = P(X > 2).

More can be learned about discrete probability distributions at https://brainly.com/question/24855677

Answer:

  1/2

Step-by-step explanation:

The slope of a line is the ratio of "rise" to "run".

__

This line goes through grid intersections at (0, -7) and (2, -6), a rise of 1 unit for a run of 2 units to the right. The slope is ...

  slope = rise/run = 1/2

Answer:

your answer is 280

Step-by-step explanation:

Because you already know what X and Y are all you will have to do is plug them in

10 (10 + 2(9))

2*9= 18

10 (10 + 18)

10+18= 28

10(28)

280

Answer:

What do you mean by "You are really good at investing" ?

Step-by-step explanation:

The difference, to the nearest gram, of the masses of the rectangular

prisms  is 1393.2 grams.

The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.

Volume of rectangular prism = (length x width x height)

Joe has a rectangular prism made of aluminum and a rectangular prism made of lead.

Each rectangular prism has a height of 6 cm, length of 9 cm, and width of 3 cm.

The volume of a rectangular prism made of aluminum  = (length x width x height)

= [tex]6 \times 9\times 3\\\\162[/tex]

The volume of a rectangular prism made of lead= (length x width x height)

= 162 cubic cm

We know that mass = density x volume

The density of aluminum is approximately 2.70.

mass = 2.70 x 162

          = 437.4 grams

The density of lead is approximately 11.3 cm3

mass = 11.3 x 162

          = 1830.6 grams

The difference, to the nearest gram, of the masses of the rectangular

prisms  1830.6 - 437.4  = 1393.2 grams

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Answer:

A

Step-by-step explanation:

Just under means smaller than since < means smaller than. And the smaller than or equal sign doesn't make since because the price was just under.

Answer:

62 %

Step-by-step explanation:

186   out of 300

186/300 = .62    this represents 62%

Answer:

Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?

Step-by-step explanation:

Answer:

the answer is (3,4)

Step-by-step explanation:

because if you check wich quadrant it is in and you check the number you can see which one it is. x,y that is how it goes so 3,4 should be correct if you line them up.

101/32 or 3 5/32 or 3.15625

(5/4 × 54/48) = 45/32

(5/4 × 105/75) = 7/4

7/4 x 8 top & bottom =56/32

45+56=101

Hope this helps!

Answer:

1. Music note: (0,-7)

2. circle: (-1,-4)

3. lightning: (3,-7)

4.  cross : ( -5, -7)

5. moon: (-8, 10)

6.  diamond : (-5,-1)

7.  star: (7,-3)

8. heart: (6,-8)

9. square: (2,0)

10. triangle : (-3,0)

Step-by-step explanation:

11. No

12; yes, "G" is at the coordinate (2,-2)

13. Yes, "D" is at the coordinate (-3,9)

14. yes, "H" is at the point (5,4)

15. Yes, "J" is at the point (8,8)

16. yes, "A" is at the point (3,7)

17.  Yes, "C" is located at the point (4,-5)

18. yes, "B" is located at the point (10,-10)

19. Yes, "K" is located at the point (9,-6)

20. No

Answer:

60

Step-by-step explanation:

TOTAL SURFACE AREA = AREA OF SQUARE+2×(AREA OF TRIANGLE)

=(6×6)+2×(1/2×6×4)

=36+24=60 square inches

I hope it helped you

Answer:

The area of the full figure is 60 square inches.

Step-by-step explanation:

There are 4 triangles and one square in this figure. We can start by figuring out the area of the middle square, which would be [tex]6*6=36[/tex] because we know the sides are all 6 inches.

Next, we can look at the triangles and see that their hypotenuses (the longest sides) are all the same length, that being 5 inches. This means that we only need to find the length of the third side and then multiply the area of one triangle by 4 to get the area of all the triangles.

The pythagorean theorem states that in any right triangle, [tex]a^2 +b^2=c^2[/tex], with [tex]c^2[/tex] being the length of the hypotenuse. Since we know the length of the hypotenuse is 5 and one of the legs of the triangle is 4, we can insert this into the equation: [tex]a^2+4^2=5^2[/tex], which when simplified all the way gives us that [tex]a=3[/tex].

Since a right triangle is half of a rectangle, the easiest way to find the area of the triangle is to multiply the measures of the two legs together and then divide by two: [tex](3*4)/2=6[/tex]. Therefore, we know that each triangle in the picture has an area of 6.

Finally, you need to add all of the areas together to find the area of the full figure: [tex]36+6+6+6+6=60 in^2[/tex]

The area of the full figure is 60 square inches.

Hope this helps! :)

Answer:

2/10

Step-by-step explanation:

28/100 - 8/100 = 20/100 = 2/10

Using it's concept, it is found that:

a) For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

b) Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.

Item a:

For the Jumping Jackrabbits, the mean and the MAD are given by:For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

For the Leaping Lizards, the mean and the MAD are given by:

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

Item b:

Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.

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