Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old,
how old is Kate?

The probability that Felix will spin a green and an F on the next spin is 2/45.

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.

Given, Felix spins each spinner 30 times. He

records the number of times each section is spun. Red (7), Yellow (5), Blue (10), Green (8)

Since probability distribution:

A probability distribution is a mathematical function that describes the probability of different possible values of a variable.

probability= desired outcome/ Total Outcomes

In our case,

Total outcomes = 30 *30

Desired outcome = spin a green and an F on the next spin

Since from probability distribution getting F and getting green has a likelihood of 5 and 8.

thus,

Probability  = 8 * 5/ 30 *30

probability = 2/45

therefore,  the probability that Felix will spin a green and an F on the next spin is 2/45.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

Answer:

m<1 = 140º

m<2 = 40º

Step-by-step explanation:

5x + x + 12 = 180

6x + 12 = 180

6x = 180 - 12

6x = 168

x = 28

<1 = 28 x 5 = 140º

<2 = 28 + 12 = 40º

Hope that helps! :)

-Aphrodite

Answer:

Apothem:

radius is the same length as the base/length of each side of the hexagon.

r = 8

use pythagorean theorem to calculate the apothem

[tex]4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928[/tex]

≈ 6.9

Area

[tex]A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7[/tex]

Answer:

1080 minutes

Step-by-step explanation:

12x45: garys team

45x2=90 : hector's team

12x90=1080

Answer:

3:2

Step-by-step explanation:

I'd say 3:2 because when you divide 45/30, you get 3/2, which is the same as 3:2. Hope this helps!

Answer: 1 boy for every 3 girls

Step-by-step explanation:

I put 30/45 into a fraction and simplified.

Answer:

D

Step-by-step explanation:

above the third quartile. because it is upper 25% of the data.

Answer:

C.between the 2nd and 3rd quartile

Answer:

$0.65 per pound

Step-by-step explanation:

9.75 divided by 15 = 0.65

Answer:

See below

Step-by-step explanation:

Using the table of 150 students, we can configure probabilities.

18 students participate in tennis, so the probability of a student participating in tennis is 18/150, or 3/25 simplified.

45 students participate in football, so the probability of a student participating in football is 45/150, or 3/10 simplified.

12 students participate in gymnastics, so the probability of a student participating in gymnastics is 12/150, or 2/25 simplified.

9 students participate in volleyball, so the probability of a student participating in volleyball is 9/150, or 3/50 simplified.

Answer:

y=10/7x-1/7

Step-by-step explanation:

m=(-3-7)/(-2-5)

m=-10/-7

m=10/7

y-y1=m(x-x1)

y-7=10/7(x-5)

y=10/7x-50/7+7

y=10/7x-50/7+49/7

y=10/7x-1/7

Answer:

It would be 192

Answer:

Area = 12 square units

Step-by-step explanation:

Area = b x h x 1/2

Area = 8 x 3 x 1/2

Area = 24 x 1/2

Area = 12

Hope that helps! :)

Answer:

12 is the area . ihshssisjjss

Answer:

Length of side of square = 8 inch

Step-by-step explanation:

Given:

Length of rectangular wire = 9 inch

Width of rectangular wire = 7 inch

Find:

Length of side of square

Computation:

We know that same wire is used from square

So,

Perimeter of rectangle = Perimeter of square

2[l + b] = 4 x side

2[9 + 7] = 4 x Length of side of square

2[16] = 4 x Length of side of square

32 = 4 x Length of side of square

Length of side of square = 32 / 4

Length of side of square = 8 inch

Answer:

21.8

Step-by-step explanation:

Answer:

27.7 inches

Step-by-step explanation:

C = 2rπ

C = 8.8π

C = 27.7 in

Answer:

$417.91

Step-by-step explanation:

Answer: 100

Hi!

ok so the Pythagorean theorem is

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 8^2+6^2=10[/tex]

so the other side is 10.

the square 8 is 8*8

and square 6 is 6*6

so the other square is 10*10=100.

so the area of the blank square is 100.

Step-by-step explanation:

Can I have brainliest?

Thanks!

Have a nice day!

Answer:

3 x-y=5

Step-by-step explanation:

Answer:

Simplifying

6z2 + -8z + 1 = 0

Reorder the terms:

1 + -8z + 6z2 = 0

Solving

1 + -8z + 6z2 = 0

Step-by-step explanation:

Answer:

252

Step-by-step explanation:

14 x 6 x 12 = 1008/2 = 504/2 = 252

Answer:

7x-2=19

5x=15

5x+6=21

................

Step-by-step explanation:

Here x = 3

3x = 1 (False)

3* 3 ≠1

3x = 33 (False)

3 *3 ≠ 33

7x - 2 =19 (True)

7 *3 - 2 = 19

21 - 2 = 19

19 = 19

2x = 5 (False)

2 *3 ≠ 5

5x = 15 (True)

5 * 3 = 15

15 = 15

5x + 6 = 21 (True)

5 * 3 + 6 = 21

15 + 6 = 21

21 = 21

Hope it will help :)❤

Answer:

the more leaking place is the bathroom

Explanation:

1 hour=60 minutes

   the bathroom drift 120 drops in 60 minutes

so, the bathroom drift 1 drop in 120/60 minutes

                                                    =60 minutes

    the other one in the kitchen dripped 80 drops in 30 minutes.

so, the other one in the kitchen dripped 1 drop in 80/30 minutes

                                                                                   = 8/3 minutes

so the more leaking place is the bathroom because 60 > 8/3

please mark as brainliest

Answer:

48

Step-by-step explanation:

First, get a total of the ration so 3+4=7

Then 112/7=16

So there is 16 times he puts 3 ounces of red and 4 ounces of blue.

3x16 = 48    (red)

4x16 = 64    (blue)

4+48=112

Answer:

[tex]P = [-3/5,2.33][/tex]

Step-by-step explanation:

Given

See attachment for line segment RQ

[tex]P = \frac{5}{6}[/tex] of RQ

Required

The coordinates of P

Using line segment ratio formula, we have:

[tex]P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]

If P is at:

[tex]P = \frac{5}{6}[/tex]

Then:

[tex]m : n = \frac{5}{6} : 1 -\frac{5}{6}[/tex]

Solve

[tex]m : n = \frac{5}{6} : \frac{6-5}{6}[/tex]

[tex]m : n = \frac{5}{6} : \frac{1}{6}[/tex]

Multiply by 6

[tex]m : n = \frac{5}{6} *6: \frac{1}{6} * 6[/tex]

[tex]m : n = 5 : 1[/tex]

By comparison

[tex]m=5\ \& n = 1[/tex]

From the attached line segment

[tex]R(x_1,y_1) = (4,-1)[/tex]

[tex]Q(x_2,y_2) = (-5,3)[/tex]

So, we have:

[tex]P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}][/tex]

[tex]P = [\frac{-25 + 4}{6},\frac{15 -1}{6}][/tex]

[tex]P = [\frac{-21}{6},\frac{14}{6}][/tex]

[tex]P = [-3/5,2.33][/tex]

Answer:

C 2496 in3

Step-by-step explanation:

Answer:

2496 in3

Step-by-step explanation:

Volume = LWH

24*8*13 = 2496

Answer and Step-by-step explanation:

Work is in Picture:

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

Volume of a cube = (side)³

                              = (20)³

                              = 8000 cubic in.

Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = Radius of the sphere

Since, sphere just fits in, radius of the sphere = half of the dimension of the cube

r = [tex]\frac{20}{2}[/tex]

r = 10 in

Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]

                                                        = 4188.79 cubic inch

Volume of the space between the cube and sphere = 8000 - 4188.79

                                                                                       = 3811.21 cubic inch