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Temka [501]
3 years ago
11

2x^2+10=4 solve using quadratic formula

Mathematics
1 answer:
kupik [55]3 years ago
7 0
First rewrite in the form ax² + bx + c = 0
So a=2, b=0 (there are no x terms!) and c = 10-4=6.

x = +-√-(4*2*6) / 2*2 = +- √-48 / 4 = +-√(-3*16) / 4 = +-i√3

The solutions are imaginary. Are you sure there is no typo in the equation?
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Three points lie on the same straight line. If each point can act as an endpoint, how many distinct line segments can be formed
lesantik [10]
Assume that the points are A, B, and C, B is between A and C, and note that a distinct line segment means that, at most, one point can intersect. This means that if we have AB and AC, AB has more than one point and AB is part of AC, so they are not two distinct lines. However, AB and BC are distinct due to that they only intersect at B. Our options to connect points are AB, AC, and BC. Since AC overlaps BC and AB, if AC is used, we have 1 as our answer. However, we can use AB and BC, increasing our limit to 2.


 Look at the picture for a visual (B is the black, and A and C can be interchangeable with the other points), and feel free to ask further questions!


8 0
4 years ago
Assume the upper arm length of males over 20 years old in the United States is approximately Normal with mean 39.3 centimeters (
oksian1 [2.3K]

Answer:

a) For this case we can use this:

P(X

P(X>\mu +3*\sigma)=P(X>46.5)=0.0015

So the range of lengths would be 32.1 and 46.5 since on the middle of these two values we have 1-0.0015-0.0015=0.997 or 99.7 % of the values.

b) P(X>36.9)

And using the complement rule we have:

P(X>36.9)= 1-P(X

Step-by-step explanation:

Previous concepts

The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".

Let X the random variable who represent the variable of interest.

From the problem we have the mean and the standard deviation for the random variable X. E(X)=39.3, Sd(X)=2.4

So we can assume \mu=39.3 , \sigma=2.4

On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:

• The probability of obtain values within one deviation from the mean is 0.68

• The probability of obtain values within two deviation's from the mean is 0.95

• The probability of obtain values within three deviation's from the mean is 0.997

So we have the following probabilities using this rule:

P(X    

P(X>\mu +\sigma)=P(X >41.7)=0.16  

P(X    

P(X>\mu +2*\sigma)P(X>44.1)=0.025

P(X

P(X>\mu +3*\sigma)=P(X>46.5)=0.0015

Part a

For this case we can use this:

P(X

P(X>\mu +3*\sigma)=P(X>46.5)=0.0015

So the range of lengths would be 32.1 and 46.5 since on the middle of these two values we have 1-0.0015-0.0015=0.997 or 99.7 % of the values.

Part b

For this casee we want this probability:

P(X>36.9)

And using the complement rule we have:

P(X>36.9)= 1-P(X

5 0
3 years ago
Which of the inequalities represents the statement, "Two times a number x, less 15, is greater than or equal to 4 times the numb
alisha [4.7K]

Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "15 - 2x ≥ 4y". I hope my answer has come to your help.

4 0
3 years ago
Read 2 more answers
-40+2n=4n-8n+8 EXPLAIN IN NUMBER FORM AND NO WORDS
marin [14]

Answer:

−40+2n=−4n+8

−40+2n+40=−4n+8+40

2n=−4n+48

2n+4n=−4n+48+4n

6n=48

answer:  n=8

Step-by-step explanation:

8 0
3 years ago
Can some plz help me
just olya [345]
This is a guess but I think 24 hope I helped :))
5 0
3 years ago
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