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3 years ago

Skylar needs to buy a pair of dress pants for $40 a shirt for $30 dollars and a tie for $20

Mathematics

2 answers:

Pepsi [2]3 years ago

8 0

Altogether that's $120 dollars so that's how much u need

Alexeev081 [22]3 years ago

6 0

That will be 90 dollars because if you do 4+2=7 and then add the 0 so you will get 70 then plus 20 you do 7+2=9 so then you will get 9 so add the 0 and you get 90 dollars. So you will have to earn 90 dollars

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Find the Correlation of the following two variables X: 2, 3, 5, 6 Y: 1, 2, 4, 5

Karolina [17]

Answer:

The correlation of X and Y is 1.006

Step-by-step explanation:

Given

X: 2, 3, 5, 6

Y: 1, 2, 4, 5

n = 4

Required

Determine the correlation of x and y

Start by calculating the mean of x and y

For x

$M_x = \frac{\sum x}{n}$

$M_x = \frac{2 + 3+5+6}{4}$

$M_x = \frac{16}{4}$

$M_x = 4$

For y

$M_y = \frac{\sum y}{n}$

$M_y = \frac{1+2+4+5}{4}$

$M_y = \frac{12}{4}$

$M_y = 3$

Next, we determine the standard deviation of both

$S = \sqrt{\frac{\sum (x - Mean)^2}{n - 1}}$

For x

$S_x = \sqrt{\frac{\sum (x_i - Mx)^2}{n -1}}$

$S_x = \sqrt{\frac{(2-4)^2 + (3-4)^2 + (5-4)^2 + (6-4)^2}{4 - 1}}$

$S_x = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}$

$S_x = \sqrt{\frac{4 + 1 + 1 + 4}{3}}$

$S_x = \sqrt{\frac{10}{3}}$

$S_x = \sqrt{3.33}$

$S_x = 1.82$

For y

$S_y = \sqrt{\frac{\sum (y_i - My)^2}{n - 1}}$

$S_y = \sqrt{\frac{(1-3)^2 + (2-3)^2 + (4-3)^2 + (5-3)^2}{4 - 1}}$

$S_y = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}$

$S_y = \sqrt{\frac{4 + 1 + 1 + 4}{3}}$

$S_y = \sqrt{\frac{10}{3}}$

$S_y = \sqrt{3.33}$

$S_y = 1.82$

Find the N pairs as $(x-M_x)*(y-M_y)$

$(2 - 4)(1 - 3) = (-2)(-2) = 4$

$(3 - 4)(2 - 3) = (-1)(-1) = 1$

$(5 - 4)(4 - 3) = (1)(1) = 1$

$(6-4)(5-3) = (2)(2) = 4$

Add up these results;

$N = 4 + 1 + 1 + 4$

$N = 10$

Next; Evaluate the following

$\frac{N}{S_x * S_y} * \frac{1}{n-1}$

$\frac{10}{1.82* 1.82} * \frac{1}{4-1}$

$\frac{10}{3.3124} * \frac{1}{3}$

$\frac{10}{9.9372}$

$1.006$

Hence, The correlation of X and Y is 1.006

4 0

4 years ago

Which of the following is true about the base b of a logarithmic function?

Svetach [21]

The base b of a logarithmic function should be greater than zero and not equal to 1. Therefore, the first and second choice is the only ones left possible:

b> 0 and b = 1
b > 0 and b=/ 1

but it was stated earlier that the value of b should not be equal to 1, therefore, the answer is

b > 0 and b =/ 1

5 0

3 years ago

Read 2 more answers

A set of data is normally distributed with a mean of 327 and a standard deviation of 27.

d1i1m1o1n [39]

Answer:

86.7%

Step-by-step explanation:

For questions regarding values related to a normal distribution, a suitable calculator is required. Numerous calculators, apps, web sites, and spreadsheets are capable of answering this question.

One standard deviation above the mean is 327 +27 = 354, so the value is expected to be slightly more than 50% +34% = 84%. It is no surprise, then, that a calculator tells you 86.7% of the data is below 857.

_____

Additional comment

The "empirical rule" tells you 68% of the area is within 1 standard deviation of the mean. The distribution is symmetrical, so half that, 34%, is between the mean and 1 standard deviation above the mean. Of course, 50% of the data is below the mean.

5 0

2 years ago

The population of a city is 1,880,000 what is the value of each of the two 8s in this number how are the two values related

Debora [2.8K]

Answer:

The value of the 8 in the front is 800,000 and the value of the second is 80,000. The front value is ten times as big as the second value.

Step-by-step explanation:

6 0

3 years ago

What are the factors of 21

sweet-ann [11.9K]

Answer:

21: 3and 7 factors

54: 6and 9 factors

3 0

3 years ago