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3 years ago

A positive B negative C none D multiple

Mathematics

2 answers:

egoroff_w [7]3 years ago

8 0

The answer is positive because its is going in the positive column

tigry1 [53]3 years ago

3 0

Answer:

postive

Step-by-step explanation:

positive collums so it's positive

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X+2y + z = 4 1. 4y - 3z = 1 y + 5z = 6

Feliz [49]

Answer:

The values of x = y = z = 1

Step-by-step explanation:

Given three linear equation as ,

x + 2y + z = 4 .......a

4y - 3z = 1 .......b

y + 5z = 6 ........c

Now solve eq a and b first

4y - 3z = 1 × 5

y + 5z = 6 × 3

Or, 20y - 15z = 5

3 y + 15z = 18

so ,(20y - 15) + (3y +15 ) = 5 +18

or, 23 y = 23

∴ y = 1

Now put this y value in eq c

so , 1 + 5z = 6 ,

Or, 5z = 6-1 =5

∴ z = 1

Again put this y and z value in eq a

so, x + 2(1) + (1) = 4

Or, x = 4 -3

∴ x = 1

Hence from the above solutions , the value of x = y =z = 1 Answer

4 0

3 years ago

A basic bead pattern ( b b b g g ) can be repeated four times to make a bracelet. Complete the blanks to represent the length of

spin [16.1K]

4(3b+2g)=12b+8g=total beads

7 0

4 years ago

Data from the Centers for Disease Control and Prevention indicate that weights of American adults in 2005 had a mean of 167 poun

sesenic [268]

Answer:

92.65% probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

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 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.

For sums the theorem can also be used, with mean $n*\mu$ and standard deviation $s = \sqrt{n}*\sigma$

In this problem, we have that:

$n = 47, \mu = 47*167 = 7849, s = \sqrt{47}*35 = 240$

Use this information to estimate the probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

This is 1 subtracted by the pvalue of Z when X = 7500. So

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

By the Central Limit Theorem

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

$Z = \frac{7500 - 7849}{240}$

$Z = -1.45$

$Z = -1.45$ has a pvalue of 0.0735

1 - 0.0735 = 0.9265

92.65% probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

5 0

3 years ago

How many 1/6 cup servings are in 3/4 cups of pop corn

faust18 [17]

Answer:

4 1/2 cup servings

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The number of peanuts in a 16-ounce can of Nut Munchies is normally distributed with a mean of 96.3 and a standard deviation of

andriy [413]

To calculate for the z-score we use the formula:
z=(x-μ)/σ
thus the answers to questions will be as follows:

a]Carmen purchased a 16-ounce can of Nut Munchies and counted 100 peanuts. What is the z-score for this can of peanuts?
x=100
μ=96.3
σ=2.4
z=(100-96.3)/2.4
z=1.542

b]Angelo purchased a 20-ounce can of Gone Nuts and counted 116 peanuts. What is the z-score for this can of peanuts?
x=116
μ=112.6
σ=2.8
thus
z=(116-112.6)/2.8
z=1.214

c]Carmen declares that purchasing her can of Nut Munchies with 100 peanuts is less likely than Angelo purchasing a can of Gone Nuts with 116 peanuts. Is Carmen’s statement correct? Use the definition of a z-score to support or refute Carmen’s claim.
This is very correct because because by definition of z-score, Munchies with 100 peanuts is 1.542 away from the mean as compared to Munchies with 116 peanuts which is 1.214 standard deviations from the mean hence the higher likelihood.

6 0

3 years ago