All categories

2 years ago

How would you solve x^2 -4x +2=0?!

Mathematics

2 answers:

Nataly_w [17]2 years ago

7 0

Answer:

i completed the square and found x

Step-by-step explanation:

x = ±√2+2

x= 2 + √2, 2 - √2

aleksandrvk [35]2 years ago

4 0

Answer:

non liner

Step-by-step explanation:

You might be interested in

Help me please in urgent

Stells [14]

Answer:

Step-by-step explanation:

20 times 10% is 2

7 0

2 years ago

Is 1.403 bigger than 1.4

NISA [10]

Yes. 1.403 is 0.003 more than 1.4 .

5 0

3 years ago

Read 2 more answers

Claire makes hot coco with 2 cups of milk with 5 tablespoons of coco. How many tablespoons of coco would he need for 1 cup of mi

postnew [5]

Answer:

2.5

Step-by-step explanation:

5/2=2.5

half of 2 is 1 so for 1 cup of coco has 2.5 tbs of coco.

6 0

3 years ago

Read 2 more answers

The amount of coffee that a filling machine puts into an 8 dash ounce 8-ounce jar is normally distributed with a mean of 8.2 oun

Inessa [10]

Answer:

73.3% probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

Step-by-step explanation:

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

Normal probability distribution

Problems of normally distributed samples are 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.

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.

In this question, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

That is, probability of the sample mean between 8.2-0.02 = 8.18 and 8.2 + 0.02 = 8.22, which is the pvalue of Z when X = 8.22 subtracted by the pvalue of Z when X = 8.18.

X = 8.22

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

By the Central Limit Theorem

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

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665.

X = 8.18

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

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335.

0.8665 - 0.1335 = 0.7330

73.3% probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

6 0

2 years ago

5. A rectangle ABCD has vertices A(-2, 3), B(3, 3), C(3, -5). Find the coordinates of D.

marta [7]

Answer: Area is 40, Cord is (-2,-5)

Step-by-step explanation:

3 0

1 year ago