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3 years ago

What is the value of the discriminant for the quadratic equation 0 = 2x2 + x – 3?

Mathematics

2 answers:

user100 [1]3 years ago

7 0

Answer: 25

Step-by-step explanation:

nataly862011 [7]3 years ago

4 0

Answer:

25.

Step-by-step explanation:

The discriminant of ax^2 + bx + c = 0 is b^2 - 4ac.

2x^2 + x - 3 = 0

- the discriminant is 1^1 - 4*2*(-3) = 1 + 24

= 25 (answer).

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10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

Place value of 0 1 4 3 6 9 in 987,164.302

Blizzard [7]

0 is in the hundredths place
1 is in the hundreds place
4 is in the ones place
3 is in the tenths place
6 is in the tens place
9 is in the hundred-thousands place

3 0

3 years ago

the expression 5n+2 can be used to find total cost in dollars of bowling where n is the number of games bowled 2 represents the

exis [7]

So justsubsitue 3 for n
5(3)+2
15+2
17
answer is 17

3 0

3 years ago

Read 2 more answers

Which has more liquid ,1 gallon of milk or a 12 pack of mountain Dew? how much more?

tatuchka [14]

It depends on the size of Mountain Dew bottles! It differs whether it is a 12 oz or a 16 oz bottle. I need more information to solve it.

7 0

2 years ago

Graph y−5=−2/3(x+9).<br> plot two different points. please show work i am very lost. thank you

Sidana [21]

Y -:5 = 2/3x + 6 because 6 is 2/3 of 9
add 5 to both sides
y - 5 +:5 = 2/3x + 6 + 5
y = 2/3x + 11
the y intersept is 11 or (0 , 11) when x is 0
when x is 3
y = 2/3 (3) + 11 or 2 + 11 = 13
so a 2nd point could be (3 , 13)

4 0

2 years ago