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3 years ago

Evaluate (x + y ) 0 for x = –3 and y = 5.

Mathematics

2 answers:

zubka84 [21]3 years ago

6 0

(x+y)0
(-3+5)0
(-15)0
THE ANSWER IS 0 BECAUSE YOU ARE MULTIPLYING BY 0

Zielflug [23.3K]3 years ago

6 0

Answer:

<h2>Anything raised to 0 is 1. So this is no different.</h2>

The Answer is <u>1</u>

Step-by-step explanation:

(x+y)∧0
(-3+5)∧0

<h2>2∧0=1</h2><h3>Hope this Helps ('U')</h3><h3>BTW I'm assuming you meant raised to the power of 0 instead of multiplied by 0.</h3>

if not i apologize. 0,0

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2. What is sampling variability?

IgorLugansk [536]

Answer:

Step-by-step explanation:

remove parentheses by multiplying factors

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combine the constants

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3 years ago

Read 2 more answers

Find area of blue shaded region

RUDIKE [14]

Answer:

$\approx \: 7.33 \: {cm}^{2}$

Step-by-step explanation:

Area of the blue shaded region

$= \frac{ \theta}{360 \degree} \times \pi r_1^2 - \frac{ \theta}{360 \degree} \times \pi r_2^2 \\ \\ = \frac{ \pi\theta}{360 \degree} ( r_1^2 - r_2^2) \\ \\ ( r_1 = 4 \: cm, \: \: r_2 = 3\: cm, \: \: \theta = 120 \degree) \\ \\ = \frac{ 3.14 \times 120 \degree}{360 \degree} ( 4^2 - 3^2) \\ \\ = \frac{ 3.14 }{3} \times 7 \\ \\ = \frac{21.98}{3} \\ \\ = 7.32666667 \\ \\ \approx \: 7.33 \: {cm}^{2}$

8 0

3 years ago

Solve for X: 2^3x + 1 = 2^10<br><br> please look at photo and give detailed steps!! thank you

mel-nik [20]

Step-by-step explanation:

since the bases are the same all you have to do is just get the powers of both bases which is 3x + 1 and 10

you're then going to equate 3 x + 1 to 10 and then you have to make +1 cross to the other side making it become -1

you then can subtract 1 from 10 leaving you with 9

and at the LHS we have 3x

we are gonna get rid of the three by dividing it into itself and the 9 at the RHS then <u>X = 3</u>

7 0

3 years ago

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.4 and a mean diameter of 212

zhannawk [14.2K]

Answer:

$P(211.9$

And using the normal standard table or excel we can find this probability with this difference:

$P(-0.639$

Step-by-step explanation:

For this case we define the random variable X="metal shafts" produced in a manufacturing company, and we have the following properties given:

$E(X)= 212, \sigma = 1.4$

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

They select a sample if size n=4, by the central limit theorem the distribution for the sample mean is given by:

$\bar X \sim N(\mu=212, \frac{1.4}{\sqrt{80}}= 0.1565)$

We are interested on this probability

$P(211.9$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we use this formula we got this:

$P(211.9$

And using the normal standard table or excel we can find this probability with this difference:

$P(-0.639$

6 0

3 years ago

Read 2 more answers

A company fills a warehouse will two types of goods A and B . they both come in tall boxes which cannot be stocked. one box of A

inessss [21]

Answer:

(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20

(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20

Step-by-step explanation:

There are two inequalities in mind, the first of the surface and the second of the price. Always bearing in mind that the minimum are 50 of A and 20 of B.

The first

A occupies 1/2 m and B occupies 1/2 m of surface, and the limit is 100 m of surface. Thus:

(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20

The second:

A costs 5,000 and B costs 30,000, and the limit is 1,500,000. Therefore:

(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20

5 0

3 years ago