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arlik [135]
3 years ago
11

State the value of the discriminant for y =

2+9x-3" alt="5x^2+9x-3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Nostrana [21]3 years ago
3 0

Answer:

141, meaning that there will be two real solutions

Step-by-step explanation:

The discriminant of a quadratic is b^2-4ac, which in this case is:

9^2-4(5)(-3)=81+60=141

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.

Hope this helps!

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y=-2
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The exam scores for 200 students are normally distributed with a mean of 72 and a standard deviation of 10. Which answer choice
Paha777 [63]

Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

\mu = 72, \sigma = 10

The proportion of students with scores between 72 and 82 is the <u>p-value of Z when X = 82 subtracted by the p-value of Z when X = 72</u>.

X = 82:

Z = \frac{X - \mu}{\sigma}

Z = \frac{82 - 72}{10}

Z = 1

Z = 1 has a p-value of 0.84.

X = 72:

Z = \frac{X - \mu}{\sigma}

Z = \frac{72 - 72}{10}

Z = 0

Z = 0 has a p-value of 0.5.

0.84 - 0.5 = 0.34.

Out of 200 students, the number is given by:

0.34 x 200 = 68 students with scores between 72 and 82.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

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2 years ago
How many liters are there in 6 gallons?
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Answer:

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Answer:

density equals mass over volume

D=.27G/ .1CM3

Step-by-step explanation:

hope this helps

8 0
3 years ago
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