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3 years ago

A = 4, n = 8, y = 2, x = 10 Evaluate the algebraic expression x + 3y - n. 6 8 12 D 24

Mathematics

1 answer:

jolli1 [7]3 years ago

4 0

Answer:

B. 8

Step-by-step explanation:

By evaluate, they mean substitute in the values and solve.

x + 3y - n

= 10 + 3(2) - n

= 10 + 6 - 8

= 8

Please lmk if you have questions.

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8×52 in distributive property

natali 33 [55]

The is the answer: 8(50+2)

6 0

3 years ago

The daily production cost, C, for x units is

disa [49]

I think the correct equation is

c(x) = 200 - 7x + 0.345x^2.

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x y

0 200

1 200 -7 +0.345 = 193.345

2 200 - 14 + .345 (4) = 187.38

3 200 - 21 + .345(9) = 182.105

4 200 - 28 + .345(16) = 177.52

5 200 - 35 + 0.345(25) = 173.625

6 200 - 42 + 0.345(36) = 170.42

10 200 - 70 + 0.345(100) =164.5

11 200 - 77 + 0.345(121) = 164.745

The functions does not have real roots, then the costs never decrease to 0.

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.

4 0

3 years ago

In a sample of 115 115 curtains, the average length was found to be 32.2in. 32.2 ⁢ in. With a standard deviation of 0.8 0.8 . Gi

pentagon [3]

Answer:

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

Step-by-step explanation:

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 problem, we have that:

$s = 0.8, n = 115$

The point estimate for the population standard deviation of the length of the curtains is $\sigma$ . So

$s = \frac{\sigma}{\sqrt{n}}$

$\sigma = s\sqrt{n}$

$\sigma = 0.8\sqrt{115}$

$\sigma = 8.58$

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

3 0

3 years ago

A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

a) $\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

3 0

4 years ago

Which logarithmic equation is equivalent to the exponential equation below?

jek_recluse [69]

The answer is B.
ln both sides to clear the 'e' and bring 'a' out of the power.

7 0

3 years ago

Read 2 more answers

A = 4, n = 8, y = 2, x = 10 Evaluate the algebraic expression x + 3y - n. 6 8 12 D 24​

A = 4, n = 8, y = 2, x = 10 Evaluate the algebraic expression x + 3y - n. 6 8 12 D 24