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3 years ago

How many real number solutions does the quadratic below have? y=2x^2-10x+6

Mathematics

2 answers:

Alexxx [7]3 years ago

7 0

Answer:

2 real number solutions.

Step-by-step explanation:

You check the value of the discriminant b^2 - 4ac.

Here it = (-10)^2 - 4*2* 6)

= 100 - 48

= 52. (Positive)

This means that it has 2 real number solutions.

If the discriminant = 0 it has one real number solution and if negative it has no real number solutions.

hodyreva [135]3 years ago

7 0

Answer:

i think its 2 real number

Step-by-step explanation:

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2 years ago

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3 years ago

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

marusya05 [52]

Answer:

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

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And the 90% confidence interval would be given (0.131;0.169).

Step-by-step explanation:

We have the following info given:

$n= 955$ represent the sampel size slected

$x = 812$ number of students who read above the eighth grade level

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

$\hat p =\frac{955-812}{955}= 0.150$

The confidence interval for the proportion would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the significance is $\alpha=1-0.9=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution and we got.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131$

$0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169$

And the 90% confidence interval would be given (0.131;0.169).

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