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valentinak56 [21]

3 years ago

9

A point is located in a polar coordinate system by the coordinates r = 2.8 m and θ = 18°. find the x- and y-coordinates of this

point, assuming that the two coordinate systems have the same origin.

1 answer:

arlik [135]3 years ago

4 0

Wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages wages

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A wire bonding process is said to be "in control" if the mean pull strength is 10 pounds. It is known that pull-strength measure

Degger [83]

Answer:

B. 0.0099

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.

In this roblem, we have that:

$\mu = 10, \sigma = 1.5, n = 4, s = \frac{1.5}{\sqrt{4}} = 0.75$

Probability of being out of control.

Less than 8.25 pounds, which is the pvalue of Z when X = 8.25. So

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

By the Central Limit Theorem

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

$Z = \frac{8.25 - 10}{0.75}$

$Z = -2.33$

$Z = -2.33$ has a pvalue of 0.0099.

So the correct answer is:

B. 0.0099

4 0

4 years ago

HELP PLZ PICK ONE OF THE ONES SHOWN:

defon

I am doing with Question Number 2

Let the two numbers be 'x' and 'y'.

According to the question, the product of two numbers is 14.

$x \times y=14$

So, xy=14 (Equation 1)

Now, one of the numbers is 3 ½ times the other.

So, $x = 3\frac{1}{2}\times y$

$x=\frac{7}{2}y$ (Equation 2)

Substituting the value of 'x' from equation 2 in equation 1, we get

$\frac{7}{2}y \times y = 14$

$\frac{7}{2}y^{2} = 14$

$y^{2} = 4$

So, y= 2 and -2

So, $x=\frac{14}{2}$ and $x=\frac{14}{-2}$

x=7 and -7

Numbers are 2,7 and -2,-7.

Sum of numbers 2 and 7 = 9

Sum of numbers -2 and -7 = -9.

6 0

3 years ago

Why would I rewrite this

Ratling [72]

You are finding 3 1/6 - 1 5/6.

To solve, you should first change it so that the numerator of the first fraction is greater than the numerator of the second. Note that both have the same denominator (6). Subtract as usual:

3 1/6 = 2 7/6

2 7/6 - 1 5/6 = 1 2/6

1 2/6 is your answer.

~

7 0

4 years ago

A pentomino is made up of five squares where two squares are joined along an entire side. Two pen- tominos are the same if they

Studentka2010 [4]

There are 12 such shapes. One can start with two squares, adding squares around the edge and rejecting shapes that have been previously seen. Repeating until you have 5 squares results in 12 distinct shapes.

_____

2 shapes are possible with 3 squares: L, I

5 shapes are possible with 4 squares: L, I, N, T, O

5 0

3 years ago

Solove. draw and lable a tape diagram to subtract tens. write the new number sentence.

garri49 [273]

23-9=14
24-10=14 BOTH EQUASTIONS ARE EQUAL

4 0

3 years ago

Read 2 more answers