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zlopas [31]
3 years ago
5

How many solutions are there to the quadratic equation

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer:

2

Step-by-step explanation:

(-7)^2  -  4*3 *(-2) =   49 + 24  >0

discriminant is positive so 2 real roots

You might be interested in
Write an equation that represents the data in the table x 5,10,15,20 y 17,22,27,32
maks197457 [2]
They go up by 12
17-5=12
22-10=12
27-15=12
32-20=12

6 0
3 years ago
Find UW.<br><br>(Please explain how you got UW so I know how to do the other ones!)
Aleonysh [2.5K]

Answer:

X = 6

Step-by-step explanation:

DU = DU .....(1)

DV =DW ......(2)

angle VDU = angle WDU .......(3)

so triangle VDU and triangle WDU are Congruent Triangles

thus VU = WU

we solve : 9x + 1 = 7x + 13 , x = 6

7 0
3 years ago
Find the length of the indicated side of the similar figure.
bogdanovich [222]

Answer:

5

Step-by-step explanation:

in similar figures the side lengths must be proportional:

4/8 = x/10 cross multiply fractions

40 = 8x divide both sides by 8

5 = x

5 0
2 years ago
The Office of Student Services at a large western state university maintains information on the study habits of its full-time st
Vera_Pavlovna [14]

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 20 hours, standard deviation of 6:

This means that \mu = 20, \sigma = 6

Sample of 150:

This means that n = 150, s = \frac{6}{\sqrt{150}}

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

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

By the Central Limit Theorem

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

Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}

Z = 2.04

Z = 2.04 has a p-value of 0.9793

X = 19.5

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

Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}

Z = -1.02

Z = -1.02 has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

3 0
3 years ago
Find the minimum value of the <br> parabola<br> y = x2 − 4x − 5 .
enot [183]

Answer:

-2x-5

Step-by-step explanation:

8 0
3 years ago
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