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4 years ago

7

Zo Between which two numbers does 70/8 lie?

1 answer:

Kobotan [32]4 years ago

3 0

Answer:

Step-by-step explanation:

70/8 = 8.75

So, 70/8 lies between the numbers 8 and 9

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Triangle UVW has a perimeter of 11.5 units. Solve for y.

vodomira [7]

Answer:

y = 3.2 units

Step-by-step explanation:

Find the missing angle measure x. Use the fact that all interior angle measures in a triangle add up to 180 degrees.

55 + 50 + x = 180
105 + x = 180
x = 75

We can use the Law of Cosines to determine the missing side length y.

a² = b² + c² - 2bc · cos(A)

Let's set UW (y) as a, WV as b, and UV as c. Therefore, ∠V must be A, ∠U must be B, and ∠W must be C.

Use the Law of Cosines to solve for a (side length y).

a² = b² + c² - 2bc · cos(A)
a² = (4)² + (3.5)² - 2(4)(3.5) · cos(50)
a² = 28.25 - 28cos(50)
a² = 28.25 - 17.99805307
a² = 10.25194693
a = 3.20186616366

Side length y is equal to 3.2 units.

8 0

3 years ago

The isosceles triangle has two sides with the same length. The base is one-half the length of a side. The expression which repre

Anna71 [15]

Answer:

20

Step-by-step explanation:

s = 8

1/2s = 4

add the 3 sides

8 + 8 + 4 = 20

7 0

3 years ago

Read 2 more answers

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

<em>For x</em>

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

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

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

$M_x = 4$

<em>For y</em>

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

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

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

$M_y = 3$

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

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

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

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

$\frac{10}{9.9372}$

$1.006$

<em>Hence, The correlation of X and Y is 1.006</em>

4 0

4 years ago

Math Help Please:<br><br> Simplify: 4!<br>4<br>8<br>12<br>24

KengaRu [80]

<span> 4! = 4 x 3 x 2 x 1 = 24

answer
24</span>

3 0

3 years ago

What is the prime factors of the numbers 48

Anna35 [415]

Answer:

24,12,6

Step-by-step explanation:

48 is even, so you can factor out 2, your first prime factor

8 0

3 years ago