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3 years ago

13

Suppose two different states each pick a two-digit lottery number between 00 and 99 (there are 100 possible numbers). what is th

e probability that both states pick the same number?

1 answer:

maria [59]3 years ago

8 0

1 in 99 i believe, i might be wrong

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factor the polynomial completely and SHOW WORK i’ve been on it for the past 30 minutes and I want to cry 24x^3-78x^2+45x NO LINK

Svetllana [295]

9514 1404 393

Answer:

3(x)(4x -3)(2x -5)

Step-by-step explanation:

First of all, recognize that all coefficients are multiples of 3, and all terms have x as a common factor. This means your first factorization is ...

(3x)(8x^2 -26x +15)

Now, you can use the "X-method" or similar to factor the quadratic. Start by looking for factors of (8)(15) = 120 that have a total of -26. Both will be negative. Here is a list of the positive factor pairs.

120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12

The sums of these factor pairs are ...

121, 62, 43, 34, 29, 26, 23, 22

The pair with a sum of 26 is highlighted.

Using this information, you can complete the X-method diagram, or you can use these numbers to rewrite the quadratic x-term to have 2 parts:

8x^2 -20x -6x +15

Now, the quadratic can be factored by grouping:

= (8x^2 -20x) +(-6x +15)

= 4x(2x -5) +3(-2x +5)

Recognizing the sign difference between the parentheses contents, we can factor the quadratic to be ...

= (4x -3)(2x -5) . . . . . note the sign gets attached to the 3

So, the complete factorization of the original expression is ...

24x^3-78x^2+45x = 3(x)(4x -3)(2x -5)

3 0

2 years ago

62 divided by 8,694

spayn [35]

Answer:

50.007131355

Step-by-step explanation:

A calculator lol?

6 0

1 year ago

Katherine is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she

kipiarov [429]

Answer:

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

Step-by-step explanation:

Given:

Rate for Lifeguarding = $$16\ per\ hour$

Rate for walking dogs = $$6 \ per\ hour$

She had worked 2 hours walking dog

Money for walking dogs = Rate for walking dogs $\times$ hours worked= $\$6\times2=\$12$

she can work a maximum of 15 total hours and must earn at least $160.

Let hours required for lifeguarding be x

Money for life guarding = Rate for walking dogs $\times$ hours worked for lifrguarding= $\$16 \timesx=16x$

Total Money she must earn = Money for lifeguarding + Money for walking dogs

$16x+12=160\\16x=160-12\\16x=148\\x=\frac{148}{16}=9.25 \ hours$

Rounding to nearest hour

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

7 0

2 years ago

Question 1? pls someone help!!

Mashcka [7]

Choose choice 3. It will pass through (-2,2) and will be parallel to the equation in the question.
ANSWER CHOICE 3 IS THE ANSWER

7 0

3 years ago

A mad scientist is trying to turn herself into a superhero in her lab at point B. There is an explosion and

yulyashka [42]

Answer:

superheros

Step-by-step explanation:

area of the 8 milrs- 201.06sq miles

area of 10 miles- 314.16sq miles

subtract the 210.06 from 314.16, 104.1

so, 210.06 square miles of heros, 104.1 square miles of villians

7 0

2 years ago