MATHEMATICS HIGH SCHOOL

Question 2 (Multiple Choice Worth 6 points)(09.03 LC)

Tanya drives to work every day and passes two independently operated traffic lights. The probability that both lights are red is 0.55. The probability that the first light is red is 0.69. What is the probability that the second light is red, given that the first light is red?
0.83
0.75
0.80
0.73

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Let the probability that the first light is red is= $P_(1)$ and

the probability that the second light is red= $P_(2)$ . Then,

Probability that both lights are red= $P( P_(1) and P_(2) )$ = 0.55,

Probability that the first light is red= $P(P_(1))$ =0.69,

Probability that the second light is red, given that the first light is red= $P( P_(2) /P_(1))$ = $(P(P_(1) and P_(2)) )/(P(P_(1)) )$

= $(0.55)/(0.69)$

= $0.7971$

≈ $0.80$

Answer 2

Answer: Given:
Probability that both lights are red 0.55
Probability that 1st light is red 0.69

Find the probability that the 2nd light is red, given that the first light is red.

0.55/0.69 = 0.797 or 0.80

The probability that the 2nd light is red while the 1st light is also red is 0.80.

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What is -9.4 simplified?

Answers

Answer: -9 2/5

Step-by-step explanation: To convert -9.4 into a negative mixed number and simplified, you’ll have to leave the negative sign and put the number 9 after the negative sign. Finally, simplify 4/10, which is 2/5. This should leave you with a final result of -9 2/5.

What multiplies to be -18 and adds to be -9?

Answers

IMPORTANT:
If you're trying to factor a quadratic in Algebra I:
There are no two integers that can solve this problem!
Your quadratic is prime!

If you're trying to solve a quadratic (find x):
The factoring approach will not work for the same reasons listed above.
Try using splitting the middle or the quadratic formula instead.

Here's how you would solve it from a more advanced approach.
If you don't know what this stuff is, just ignore it.
ab = -18, a + b = -9
Find a in terms of b.
a = -9-b
Substitute this for a in the first equation.
(-9-b)b = -18
-9b-b² = -18
Multiply everything by -1 to get rid of all these negative signs.
b² + 9b = 18
Bring over that 18.
b² + 9b - 18 = 0
Apply the quadratic formula.
(a = 1, b = 9, c = -18)
$(-b\pm√(b^2-4ac))/(2a)=(-9\pm√(9^2-4(1)(-18)))/(1*2)=(-9\pm√(81+72))/(2)=(-9\pm√(153))/(2)=\boxed{(-9\pm3√(17))/(2)}$
If you need to write two distinct numbers, just write out one with a + and one with a - in place of the plus-minus sign.

What is the closed linear form for this sequence given a1 = 0.3 and an+ 1 = an + 0.75?
A) an = 0.45 - 0.75n
B) an = 0.45 + 0.50n
C) an = -0.45 + 0.75n
D) an = -0.45 - 0.75n

Answers

C) an = -0.45 + 0.75n

Which number is a perfect cube?
09
18
27
O 36

Answers

Answer:

Step-by-step explanation:

a cube has 6 sides

6 squares on each side

36 divided by 6 = 6

6 x 6 = 36

hope this helps!

If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .

Answers

Answer:

$(-√(65) - 3 )/(4), (√(65) + 3)/(4)$

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: $x = (-b +/-√(b^2 - 4ac) )/(2a)$

Plug in a for 2, b for 3, and c for -7 and you should find your roots.

If m = 8, how many solutions are there for the expression m - 8? what is it going to be? 0 ? 1 ? 2 ? or infinite ?

Answers

Answer:

The answer is $m=8$

Step-by-step explanation:

In order to determine the answer, we have to know that it means "solution".

In any expression where there is a variable, we can replace any value in the variable and we get a result. When we replace a value that it makes the expression equal to zero, that value is called "solution".

So in this case, we have to find a solution for "m":

$m-8=0\nm=8$

Finally, the solution is only one and it is 8.

Solutions for the expression:
(m - 8)

if m = 8,
Solution for the expression m - 8 = 8 - 8 = 0.

So there is only 1 solution for the expression.

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