Show Your Work<br> Please help I’ll mark brainliest

A box contains 12 balls numbered 1 through 12. Two balls are drawn in succession without replacement. If the second ball has the

Nikitich [7]

<h2>Answer with explanation:</h2>

A box contains 12 balls numbered 1 through 12.

Also the ball are drawn without replacement.

a)

The probability that the first ball had a smaller number on it.

i.e. the number on the first ball could be: {1,2,3}

Hence, the probability that the first ball had a smaller number on it is:

$\dfrac{3}{12}=\dfrac{1}{4}=0.25$

b)

The probability that the first ball has a even number on it is:

There are total 6 even numbers {2,4,6,8,10,12}

but 4 can't be considered as it comes on the second draw, so we are left with just 5 balls with even number.

Hence, the probability is:

$\dfrac{5}{12}=0.4166$

8 0

3 years ago

Audrey is buying a new car for 32,998.00. She plans to make a down payment of 4,200.00. If she's to make a monthly payments of 5

UkoKoshka [18]

<span>This question is an annuity problem with cost of the car = $32,998, the present value of the annuity (PV) is given by the difference between the cost of the car and the down payment = $32,998 - $4,200 = $28,798. The monthly payments (P) = $525 and the number of number of years (n) = 5 years and the number of payments in a year (t) is 12 payments (i.e. monthly) The formula for the present value of an annuity is given by PV = (1 - (1 + r/t)^-nt) / (r/t) 28798 = 525(1 - (1 + r/12)^-(5 x 12)) / (r/12) 28798r / 12 = 525(1 - (1 + r/12)^-60) 28798r / (12 x 525) = 1 - (1 + r/12)^-60 2057r / 450 = 1 - (1 + r/12)^-60 Substituting option A (r = 37% = 0.37) 2057r / 450 = 2057(0.37) / 450 = 761.09 / 450 = 1.691 1 - (1 + r/12)^60 = 1 - (1 + 0.37/12)^-60 = 1 - 0.1617 = 0.8383 Therefore, r is not 37% Substituting option D (r = 3.7% = 0.037) 2057r / 450 = 2057(0.037) / 450 = 76.109 / 450 = 0.1691 1 - (1 + r/12)^60 = 1 - (1 + 0.037/12)^-60 = 1 - 0.8313 = 0.1687 Therefore, r is approximately 3.7%</span>

3 0

3 years ago

I need to know how to do the answer and why that’s the anwer

Pavel [41]

Ok so the answer is
$4 {x}^{2}$

so we multiply numbers that have the same variable

$2 {x}^{3} \: \: \times {2x}^{ - 1} \\ \\$
multiply 2 x 2

$2 \times 2 = 4$
then multiply the exponents

$x ^{3} \times x ^{ - 1}$
multipling like this will look like addition.
${x}^{3} \times {x}^{ - 1} = {x}^{2}$
so in other words you could do it like this too
${x}^{3} + {x}^{ - 1} = {x}^{2}$
now add the exponent with 4
$4 + {x}^{2} = 4x ^{2}$

now for the last part
${y}^{3} + {y}^{ - 3} = 0$
because -3 and 3 added together make 0
$0 + 4 {x}^{2} = 4 {x}^{2}$
I hope this help(it looks complicated but it's very easy and I hope I helped you out)

6 0

3 years ago

ANSWER QUICK PLEASE

konstantin123 [22]

Answer:

consider x as the number of hours you work

so, the function that would satisfy this equation is

10x

3 0

2 years ago

Lengths of Rectangles

Furkat [3]

Answer:

AB = 5

BC = 12

AC = 13

Step-by-step explanation:

A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:

AB = CD = 12

AB = 12

BC = AD = 5

BC = 5

AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:

AC² = AD² + CD²

Plug in the values

AC² = 5² + 12²

AC² = 169

AC = √169

AC = 13

6 0

3 years ago

Show Your Work Please help I’ll mark brainliest