A hat contains the names of seven boys and three girls. If one name is drawn from the hat at random, P(Boy) =

Answers

Answer 1
Answer: P(Boy) 

= Number of boys/Total number of people

= 7 / (7+3)

=7/10

=0.7
Answer 2
Answer:

Answer:

7/10 (7 over 10) or 0.7

There are 7 boys and 3 girls, combined they equal to 10. So, the probability of picking a boy is very likely to be chosen because the probability is over 50% (70%).


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What is the area of the polygon below?​

Answers

Answer:

9 units

Step-by-step explanation:

You can split the polygon into two right triangles and a rectangle. The two right triangles each equal to 1.5 and the rectangle is equal to 6 so 6+1.5+1.5=9

Sam leases a car for 24 months. The car will cost him $7,000 if he decides to buy it at the end of the lease. What term describes the $7,000? A. interest B. residual value C. lease amount

Answers

It is called RESIDUAL VALUE. Residual value is defined as the value of the asset after it was fully depreciated.

Answer:

Term that describes  $7,000 is:

B. residual value

Step-by-step explanation:

We are given that:

Sam leases a car for 24 months. The car will cost him $7,000 if he decides to buy it at the end of the lease.

Then the term that describes $7000 is

B. residual value

(Since,  The residual value is the estimated value of a fixed asset at the end of its lease or at the end of its useful life.)

What does an equal sign with a line across it mean?

Answers

it means that it does not equal to that certain amount, which is why they put a line across it 

Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous solution.

Answers

Answer:  x= 4 is an extraneous solution.

Step-by-step explanation:

Since we have given that

3(√(x+5))=-9

We need to find the extraneous solution.

So, our equation becomes,

√(x+5)=(-9)/(3)\n\n√(x+5)=-3\n\n\text{On squaring both sides}\n\nx+55=(-3)^2\n\nx+5=9\n\nx=9-5\n\nx=4

Now, we will check that x = 4 is an extraneous solution.

3√(4+5)\neq -9\n\n3√(9)\neq -9\n\n3* 3\neq -9\n\n9\neq -9

Hence, x= 4 is an extraneous solution.

The solution is x=4.

Quadratic formula 9x²-6x-11=0

Answers

9x ^(2)-6x-11=0 \n \n a=9 , \ b=-6, \ c = -11 \n \n \Delta = b^(2)-4ac = (-6)^(2)-4*9* (-11)= 36+396 = 432\n \n√(\Delta )=√(432)= √(144*3)=12√(3)\n \nx_(1)=(-b-√(\Delta ))/(2a) =(6-12√(3))/(2*9)=( 6(2-2√(3)))/(18)= ( 2-2√(3) )/(3) \n \nx_(2)=(-b+√(\Delta ))/(2a) =(6+12√(3))/(2*9)=( 6(2+2√(3)))/(18)= ( 2+2√(3) )/(3)

What is the middle product of (-2x 1)(-3x - 5)? User: Factor 64a2 - 48a + 9.

Answers

What is the middle product of (-2x 1)(-3x - 5)
(-2x -1)(-3x - 5)
= 6x^2 + 3x + 10x + 5
= 6x^2 + 13x + 5

So the middle product is 13x.

Factor 64a2 - 48a + 9.
64a2 - 48a + 9
(8a - 3) (8a - 3)