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What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?<br><br> –4<br> 8<br> 12<br> 24

monitta

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1 b = 4 x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

6 0

2 years ago

Read 2 more answers

Need help ASAP!!! Tysm if you answer!! IF YOU ANSWER RIGHT AND GET BRAINLIEST!!

Delvig [45]

Answer:

$a_n = 3 ({5})^{n - 1}$

Step-by-step explanation:

The given sequence is 3,15,75,375,...

The first term of this geometric sequence is

$a_1=3$

The common ratio is

$r = \frac{15}{3} = 5$

The explicit formula is given by:

$a_n = a_1 {r}^{n - 1}$

We plug the first term and common ratio into the formula to get:

$a_n = 3 ({5})^{n - 1}$

8 0

2 years ago

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.372 minute. The winning ca

Fed [463]

Answer:

Sam had a finish time with a z-score of -2.93.

Karen had a finish time with a z-score -1.91.

Sam had the more convincing victory.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Sam:

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.372 minute. The winning car, driven by Sam, finished in 185.85 minutes.

So $\mu = 186.94, \mu = 0.372, X = 185.85$

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

$Z = \frac{185.85 - 186.94}{0.372}$

$Z = -2.93$

Sam finishing time was 2.93 standard deviations below the mean.

Sam had a finish time with a z-score of -2.93.

Karen:

The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

So $\mu = 110.7, \sigma = 0.115, X = 110.48$

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

$Z = \frac{110.48 - 110.7}{0.115}$

$Z = -1.91$

Karen finishing time was 1.91 standard deviations below the mean.

Karen had a finish time with a z-score -1.91.

Who had the more convincing victory?

Sam finishing time was 2.93 standard deviations below the mean.

Karen finishing time was 1.91 standard deviations below the mean.

Sam finished more standard deviations below the mean than Karen, that is, he was faster relative to his competition than Karen.

So Sam had the more convincing victory.

8 0

3 years ago

If the central limit theorem is applicable, this means that the sampling distribution of a ___________ population can be treated

3241004551 [841]

The answers are Sample population and the Sample Size is Large Enough.

<h3>What are population and sample?</h3>

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

If the central Limit Theorem is applicable, this means that the sampling distribution of a sample population can be treated as normal since the sample size is large enough.

Also, It asserts that the distribution of the average of the sum of many identically distributed and independent variables will be approximately normal, irrespective of the statistical properties.

Thus, the answers are Sample population and the Sample Size is Large Enough.

Learn more about the population and sample here:

brainly.com/question/9295991

#SPJ4

6 0

2 years ago

HELP ME !!!

VLD [36.1K]

Answer:

The probability of hitting an odd number three times is 3.375 times more than the probability of hitting an even number three times..

Step-by-step explanation:

Probability of hitting an odd number = 3/5

Probability of hitting an odd number = 2/5

Probability of hitting an odd number three times = (3/5)^3

Probability of hitting an odd number three times = (2/5)^3

Now divide (3/5)^3 by (2/5)^3 we get:

(3/5)^3 / (2/5)^3

(3)^3/(2)^3

27/8 = 3.375

The probability of hitting an odd number three times is 3.375 times more than the probability of hitting an even number three times..

8 0

2 years ago