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Answer:

3/7 is the probability that the teacher will randomly select a boy.

Hope this helps! :)

The probability that the teacher randomly selects a boy is 3/7

The given parameters are:

Boy = 6

Girls = 8

The total number of students is:

Total = 6 + 8 = 14

The probability of selecting a boy is:

P(Boy) = 6/14

Simplify

P(Boy) = 3/7

Hence, the probability that the teacher randomly selects a boy is 3/7

Read more about probability at:

https://brainly.com/question/25870256

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Answer:

3.5325

Step-by-step explanation:

find the area and divide it by 2

1.5*1.5*pi= 1.5*1.5*3.14= 7.065

then divide it by two= 3.5325

Answer:

(9,3)

Step-by-step explanation:

Answer: 144

Step-by-step explanation:

No need explanation

Answer:

Hi there! the answer should be: Katie can draw 182 pictures in 312 minutes

Step-by-step explanation:

312 ÷ 24 = 13

14 x 13 = 182

hope this helped qwq

Answer:

radius r = 12 in

diameter d = 24 in

circumference C = 75.3982237 in

area A = 452.389342 in2

Step-by-step explanation:

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

Answer:

Step-by-step explanation:

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

Answer:

1.3 < x < 6.7

Step-by-step explanation:

minimum

4.0 - 2.7 = 1.3

maximum

4.0 + 2.7 = 6.7

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

1.3 < x < 6.7

Answer:

Thus, the ratio of the central angles is 4 : 9.

Step-by-step explanation:

Area, A = 12 π square units

radius, R = 6 units

radius, r = 4 units

Area of sector is given by

[tex]A=\frac{\theta }{360}\times \pi r^{2}[/tex]

For first sector

[tex]12\pi=\frac{\theta }{360}\times \pi \times 6^{2}\\\\\theta = 120^{o}[/tex]

For second sector

[tex]12\pi=\frac{\theta' }{360}\times \pi \times 4^{2}\\\\\theta' = 270^{o}[/tex]

So, the ratio is

[tex]\frac{\theta}{\theta'}=\frac{120}{270} =4 : 9[/tex]

Answer:

4 : 9

Step-by-step explanation:

Given:

Two sectors, each has an area of 12pi, but with radii r1=6 and r2=4 units.

Find ratio of central angles.

Solution:

Let A = central angle

Area of a sector = pi r^2 (A/360)

Since both sectors have the same area,

pi r1^2 (A1/360) = pi r2^2 (A2/360)

simplifying

A1 r1^2 = A2 r2^2

Therefore

A1 : A2  = r2^2 : r1^2 = 4^2 : 6^2 = 4 : 9

Answer:

9 1/4

Step-by-step explanation:

12 3/8 - 3 1/4= 9 1/4

Answer:

8568 ft³

Step-by-step explanation:

14 x 612 = 8568 ft³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

50 degrees

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The entire angle is 80 as shown.

The value of the missing angle can be found by using the following

F=80-30

F=50

No, this is not a random sample.

The perimeter of the triangle is 70.82 inches.

Given as :

The length of the altitude is 30 inches, and

The length of the base is 10 inches

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Let, perpendicular = 30 and base = 5

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular² + base² = hypotenuse²

Substitute the values,

30² + 5² =  hypotenuse²

900 + 25 =  hypotenuse² or

hypotenuse² = 925

hypotenuse = √925

hypotenuse = 30.41

The perimeter of the triangle can be determined as:

Perimeter of the triangle = l₁ + l₂ + l₃

Perimeter of the triangle = 30.41+ 10 + 30.41

Perimeter of the triangle = 70.82

Hence, the perimeter of the triangle is 70.82 inches.

Learn more about right triangle here:

brainly.com/question/6322314

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Answer:

Each selection has 8 seats, of which 56 are blue. there are 22 blue seats and 32 red seats in the theater

Step-by-step explanation:

Step-by-step explanation:

132.71 x 10 with the power of 2 = 13271

Answer:

Amy

Explanation:

Because add all of the numbers and divide by 7.

The measure of center I would use for Amy is 6 because it is higher than half of the numbers and lower than half of the numbers.What I would use for Chelsea is 7 because of the same reason.

Answer:

1. Positive

2. Negative

3. Negative

4. Positive

Step-by-step explanation:

Answer:

how much km was left

Step-by-step explanation:

his whole journey length would be if u add both km

Answer: Answer is in the attachment xoxo

Step-by-step explanation:Subtract

y

2

y

2

 from both sides.

16

x

−

4

y

=

−

20

−

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2

16x−4y=−20−y

2

2 Factor out the common term

4

4.

4

(

4

x

−

y

)

=

−

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−

y

2

4(4x−y)=−20−y

2

3 Divide both sides by

4

4.

4

x

−

y

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−

y

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4

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4

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4 Add

y

y to both sides.

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x

=

−

20

−

y

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+

y

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4

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+y

5 Divide both sides by

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4.

x

=

−

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−

y

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+

y

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6 Simplify  

−

20

−

y

2

4

+

y

4

4

4

−20−y

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+y

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  to  

−

20

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y

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4

4

+

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4

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4

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​

​

+

4

y

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.

x

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+

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7 Simplify  

−

20

−

y

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4

4

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​

​

  to  

−

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y

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+

y

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x=

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+

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y

​

Answer:

yes

Step-by-step explanation:

Answer: 4000 Grams

(Edited! I was wrong!)

Step-by-step explanation:

32 divided by 8 is 4. Add the units, and youre done! (x1000 bc 1000 kg are in a gram)

Answer:  

4000g  

Step-by-step explanation:  

32kg=32000g  

32000/8 bowls=  

4000g

Answer:

The area is 452.39

The Circumference is 75.36

Step-by-step explanation:

a= 9

b= 13

➠ 2(9+13)

➠ 2 × 22

Ans ➠ 44mm

Answer:

Your answer is -6

Step-by-step explanation:

Hope this helps :3

Answer:

The answer to the problem is -6.