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weeeeeb [17]
3 years ago
12

Solve the equation, , using the quadratic formula.

Mathematics
1 answer:
N76 [4]3 years ago
4 0

Answer:

 x=1\ or\ x=-\frac{1}{2}

Step-by-step explanation:

To solve the given quadratic equation 2x^2-x-1=0 you can apply the Quadratic formula, which is shown below:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

Where:

a=2\\b=-1\\c=-1

Therefore, when you substitute values into the Quadratic formula shown above, you obtain the following solution:

x=\frac{-(-1)\±\sqrt{(-1)^2-4(2)(-1)}}{2*2}

x=1\ or\ x=-\frac{1}{2}

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Consider the toss of four coins. There are 16 (i.e., 24) possible outcomesin one toss. (a)Calculate the probabilities that there
lana [24]

Answer:

See answers below

Step-by-step explanation:

If 4 coins are tossed. the total possible outcomes are;

H H H H , H H H T, H H T H, H T H H, T H H H , H H T T, H T T H, T T H H, H T H T, T H T H, T H H T , H T T T, T H T T, T T H T, T T T H  and T T T T

Total outcomes = 16

1) zero head = T T T T = 1 outcome

Probability = Expected/Total outcome

Pr(zero head) = 1/16

2) one head = H T T T, T H T T, T T H T, T T T H   = 4 outcomes

Probability = Expected/Total outcome

Probability = 4/16

Pr(one head) = 1/4

3) two heads = H H T T, H T T H, T T H H, H T H T, T H T H, T H H T   = 6 outcomes

Probability = Expected/Total outcome

Pr(two head) = 6/16

Pr(two head) = 3/8

4)  three heads = H H H T, H H T H, H T H H, T H H H   = 4 outcomes

Probability = Expected/Total outcome

Pr(three heads) = 4/16

Pr(two head) = 1/4

5) four heads appearing on the four coins =  H H H H = 1 outcome

Pr(four heads) = 1/16

6 0
3 years ago
60% expressed as a ration is 60 Over 100 . What is this as a fraction in its reduced form?
k0ka [10]

Answer:

Three-fifths

Step-by-step explanation:

First, let us reduce 60% to its simplest form as shown below:

60% = 60/100 = 6/10 = 3/5

We see that 60% in its simplest for is 3/5. This is written as Three-fifths

7 0
4 years ago
Please show me how you got the answer. thanks in advance
lesantik [10]
Write and solve an equation of ratios:

6 inches          1 inch
-------------- = ------------
60 inches            x

Cross-multiplying, 6x = 60, so x = 10 inches (answer)
5 0
4 years ago
Simplify (write without the absolute value sign): |x−(−12)|, if x<−12
VladimirAG [237]

Answer:

|x + 12|

Step-by-step explanation:

The question I took form you I assume looks like this...

|x - (-12)|

Therefore, if we simplify this, the answer is |x + 12|

This is the answer because you would multiply -1 by -12

3 0
4 years ago
(n) ________ is a variable that affects both variables of interest and may falsely give the impression of a cause-and-effect rel
gtnhenbr [62]

Answer: CONFOUNDING VARIABLES

Step-by-step explanation: Confounding variables are

unexpected external factor that affects both variables of interest, confounding variables usually gives the false impression that changes in one variable leads to changes in the other variable, when, in Actual, it is the external factor that caused the change being investigated. Confounding variables usually leads to wrong conclusions during research and experiments and are capable of causing biased outcomes when the real cause and effect relationship is not determined.

4 0
4 years ago
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