Mr. Parietti needs two students to help him with a science demonstration for his class of 18
girls and 12 boys. He randomly chooses one student who comes to the front of the room. He
then chooses a second student from those still seated. What is the probability that both
students chosen are BOYS?

Answer:

1.x=45,2.x=16

Step-by-step explanation:

1.

x+90+45=180(Angles in an adjacent angle)

x=180-135

x=45

2.

7x=112(vertically opposite angle)

x=112/7

x=16

First question refers to the supplementary angle theorem.

To find x, we need to refer to the other angles around it and use it to subtract it from 180°.

90 + 45 + x = 180

135 + x = 180

x = 180 - 135

x = 45°

Second question refers to the vertical angles theorem, where it states that the angles that face in opposite directions are the same.

7x = 112

x = 112 ÷ 7

x = 16°

Answer:

For the 1st one: 63

For the second one: 99

Step-by-step explanation:

This is because to find the perimeter, you have to do length+length+width+width=area

So you do 77+77+x+x=280, this should get you x=63

For the second one, to find area you do length×width=area

So you do 59×x=5841 and should get 99.

The diameter of the new ball, to the nearest tenth of a centimeter, is 11.0cm

We have given that,

The surface area of a regulation spherical soccer ball is about 484π

square centimeters. If the diameter of the regulation ball is reduced by 50% to produce a new ball.

We have to determine,

The diameter of the new ball, to the nearest tenth of a centimeter.

The volume of a sphere = 4/3 × πr^3.

Therefore we get,

[tex]\frac{484}{50}= 11.0[/tex]

Therefore we get the diameter of the new ball, to the nearest tenth of a centimeter is 11.0cm.

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Answer:

1/14

Step-by-step explanation:

According to SOH CAH TOA;

Cos theta = adjacent/hypotenuse

Since theta = <J

Adjacent = 2

Hypotenuse = 28

Cos <J = adj/hyp

Cos<J = 2/28

Cos<J = 1/14

Hence the value of cosine J is 1/14

Answer:

It should be "there ARE 254 counties in texas..."

Step-by-step explanation:

is the wrong one it should be are

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:937.5

Step-by-step explanation:if your dividing this is the answer

Answer:

888sq. ft

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

For the given diagram

area of the truck = area of the bigger + area of smaller prism

area of the bigger prism = 6 * 9 * 16

area of the bigger prism = 864sq. ft

Area of smaller prism = 2 * 2 * 6

Area of smaller prism = 24 sq. ft

Area of the figure = 864 + 24

Area of the figure = 888sq. ft

Answer:

g.  9−7+{−2+3−[4−2+(3+2)−7]+8} = 11

h. – {- [ (14 - 7) - (32 - 41)]} = +  16

i. – [(-8 + 3) + (- 21 – 12)] = + 38

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506

k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21

Step-by-step explanation:

These questions are solved by solving the small brackets, then square brackets and then the curly brackets.

g.  9−7+{−2+3−[4−2+(3+2)−7]+8}

=  9−7+{−2+3−[4−2+(5)−7]+8}     Solving inner  small brackets

= 9−7+{−2+3−[9−2−7]+8}            Solving outer square brackets

= 9−7+{−2+3−0 +8}                     Solving curly brackets

=9−7+{9}                        Adding like terms ( adding positive terms)

= 18-7

= 11

h. – {- [ (14 - 7) - (32 - 41)]}

= – {- [ (14 - 7) - (-9)]}                  Solving inner  small brackets

= – {- [ (7) +9]}                           Solving inner  small brackets

= – {- [ 16 ]}                              Solving outer square brackets

= – {-  16 }                                 Solving curly brackets

= +  16                                      (-*-= +)

i. – [(-8 + 3) + (- 21 – 12)]

= – [(-8 + 3) + (- 33)]            Solving inner  small brackets

= – [(-5 - 33)]                      Solving inner  small brackets

=– [( - 38 )]                              Solving outer square brackets

= + 38                                        (-*-= +)

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }

= 500 – {( 6 + 4 + 3 + 16  – 18 -10 – 2) – 5 }         Solving inner  small brackets

= 500 – {( 29  – 30) – 5 }                   Solving inner  small brackets

= 500 – {(  – 1) – 5 }               Solving inner  small brackets

= 500 – { – 6}                                Solving curly brackets

= 500  + 6                                        (-*-= +)

= 506

k. (9 + 7 – 2 + 4) – ( 9 -12 )

= (9 + 7 + 4– 2 ) – (  -3 )                        Solving inner  small brackets

= (20 – 2 ) – (  -3 )                                 Solving inner  small brackets

= (18 ) – (  -3 )                                           (-*-= +)

= 18   +3

=21

Answer:

Hello love the answer would be 2/10 or reduced 1/5

Answer:

A. 1/5

B. There is a 1/5 probability the spinner will land on green

Step-by-step explanation:

A. 2/10 simplified

B. I just put it into words

Answer:89

Step-by-step explanation:

Multiply 27 by 3, then add 8 to your answer and you get 89

Answer:

9. Correct 12. Incorrect, it's D

Step-by-step explanation:

9. There is a 1:2 ratio of blue to red paint to create the shade of purple, so 6:12 would follow the 1:2 ratio so it's correct.

12. 6:14 can be simplified to 3:7 ratio. 8:16 doesn't follow 3:7 (it follows 1:2) so it can't be the right answer. 12:28 follows the ratio so it's right.

Answer:

24 mm squared

Step-by-step explanation:

3 x 4 x 1/2 = area of the triangle

4 x 3 = area of the rectangular top left

1 x 6 = area of the bottom rectangle

3 x 4 = 12 x 1/2 = 6

4 x 3 = 12

6 x 1 = 6

6 + 12 + 6 =24

Answer:

x = b-a/2

Step-by-step explanation:

2x + a = b

2x = b-a

x = b-a/2

Answer:

In the number line it should be between 1.2 and 3.4

intervals of 0.2

for e.g: 3.4 3.2 3.0 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2  

Step-by-step explanation:

Assume chicken to be x

1.2 [tex]\leq[/tex] x < 3.4

Inequality shows a relationship between two numbers or two expressions.

The inequality to describe the chicken that can be sold only when the chicken weighs between 1.2 kg to 3.4 kg is

1.2 ≤ x ≤ 3.4

Where x is the number of chicken.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

Example:

2 < 3

3x > 2x

3x + 4 > 4x

We have,

Number of chickens that can be sold = x

Chicken is sold only if the chicken weighs between 1.2 kg and 3.4 kg.

This can be represented by inequality as,

1.2 ≤ x ≤ 3.4

Thus,

The inequality to describe the chicken that can be sold only when the chicken weighs between 1.2 kg to 3.4 kg is

1.2 ≤ x ≤ 3.4

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Answer: 6336 ft.

Step-by-step explanation:

If you were asking what 1.2 miles equals in feet, your answer would be 6336 feet. Good luck on your test tomorrow!

Answer:

6336 feet

Step-by-step explanation:

each mile has 5280 feet. Simply multiply 1.2 by 5280 to get your answer

Answer:

option D

Step-by-step explanation:

Took the test

Answer: the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15 (option D)

Step-by-step explanation: I took the test and got it right :)

Answer:

2.75

Step-by-step explanation:

use a calculator

Hope this helps! :)

Answer:

8

Step-by-step explanation:

Yes

Answer:

rent and savings account for more than 50% of the budget

Step-by-step explanation:

Answer:

The rent and savings account for more than 50% of the budget

Step-by-step explanation:

It's easy to get confused for this answer because rent and savings ($900 + $600) is 50% of their savings, but it says more. The way to show your work is basically just going through all the answer choices, adding them together, and then multiplying the percentage.

900+600=1500

3000x0.50=1500

That is exactly 50% but not more

Hope this helps!

Answer:

34.9

Step-by-step explanation:

Because if you multiply then divide by 2 that will help you alot.

$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously.

We need to find the amount in the account after 3 years.

[tex]A=Pe^r^t[/tex]

where A is the amount of money after t years,

P is the principal amount

r is the annual interest rate

P = $14,000, r = 0.04 and t=3

[tex]A = 14000e^(^0^.^0^4^3)[/tex]

A = 15,784

Hence, $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.

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The solutions are the points that belong to the line, these are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

Here we can see that we have the graph of a linear equation. The given points would be solutions if the points lie on the graphed line.

Remember that for a point (x, y), x is the value you need to look in the horizontal axis and y is the value that you need to look on the vertical axis.

Then, from the given points the ones that are on the graphed line are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

All these points are on the line, thus, are solutions.

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Answer:

1. x= -7

2. y= -3.5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

According to the associative property of addition, you can put the parentheses anywhere you like. This is the only one that works.

Answer:

Option A

Step-by-step explanation:

Use the Pythagoras Theorem

Hypotaneous² = base² + height²

BC² = AB² + AC²

BC = √ (AB² + AC²)

BC =  √ (12² + 16²)

BC = 20

Answer:

20

Step-by-step explanation:

Here's your solution

=> in a right angle traingle

BC^2 = AB^2 + AC^2

=> BC^2 = 16^2 + 12^2

=> BC ^2 = 256 + 144

=> BC^2 = 400

=> BC = √400

=> BC = 20

hope it helps

Answer:

I think the answer is graph B

1. C = x^4 + 3 = 0

2. A = (x − 3)^4 = 0

3. B = (x^2 − 3)^2 = 0