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daser333 [38]
1 year ago
9

Please explain if you can ​

Mathematics
1 answer:
Sonja [21]1 year ago
8 0

Using it's concept, the probabilities are given as follows:

19. A. 1/3.

20. F. 1/6.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 1 + 1 + 3 + 4 + 3 = 12 papers. 4 have a score of 6, hence, in item 19, the probability is:

p = 4/12 = 1/3.

Which means that option A is correct.

2 papers have a score greater than 12, hence the probability in item 20 is given by:

p = 2/12 = 1/6.

Which means that option F is correct.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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Evaluate (-12)(-2)^2​
xz_007 [3.2K]

(-12)(-2)^2 = -48.

Hope this helps,

Davinia.

6 0
3 years ago
Read 2 more answers
(Can somebody find the sum of this) <br><br><br> (5+2i)+(8-3i)
7nadin3 [17]
Hey there!!

Okay so here are the steps....

(5 + 2i) + (8 - 3i)       <---- when we have exponents we should worry about the                                            "i" because it is equal to √-1 but here it isn't the case.
<u>

(13 - i)</u>
<u />   <----- This is the answer!



<u />I hope this helps! ^__^
7 0
3 years ago
List all possible rational roots. Then use synthetic division to confirm which rational roots exist:
Kisachek [45]

Answer:

\boxed{(1) \, x = \, \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10; (2) \, x = -2}

Step-by-step explanation:

2x³+ 6x² - x - 10 = 0

(1) Possible roots

The Rational Roots Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term  and q is a factor of the leading coefficient.

\text{Possible rational root} = \dfrac{ p }{ q } = \dfrac{\text{factor of constant term}}{\text{factor of leading coefficient}}

In your function, the constant term is -10 and the leading coefficient is 2, so

\text{Possible root} = \dfrac{\text{factor of 10}}{\text{factor of 2}}

Factors of 10 = ±1, ±2, ±5, ±10

Factors of 2 = ±1, ±2

\text{Possible roots are } \large \boxed{\mathbf{x = \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10}}

(2) Synthetic division

Rather than work through all 12 possibilities, I will do one that works.

\begin{array}{r|rrrr}-2 & 2 & 6 & -1 & -10\\& & -4& -4 & 10\\& 2 & 2& -5 & 0\\\end{array}

So, x = -2 is a root, and the quotient is 2x² + 2x - 5.

(3) Check for other rational roots

2x² + 2x - 5 = 0

D = b² - 4ac =2²- 4(2)(-5) = 4 + 40 = 44

√44 = 2√11, which is irrational.

Since irrational roots come in pairs, the cubic equation has two real, irrational roots and one rational root at x = -2.

6 0
3 years ago
How fast was a plane flying if it traveled 40 kilometers in 30 minutes​
dangina [55]

Answer:

80 km/hr

Step-by-step explanation:

0.5 hour = 30 min

40 km in 30 min

80km in 60 min

4 0
2 years ago
Where would parentheses go 9 x 7+ 8-5=66
Vsevolod [243]

Answer:

9 × 7 + (8 - 5) = 66

Step-by-step explanation:

9 × 7 + 8 - 5 = 66

Applying the order of operations (PEMDAS);

The parenthesis would go to 9 × 7 + (8 - 5) = 66

3 0
3 years ago
Read 2 more answers
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