W = 1/2QV if w=.47 and v=13.5

boyakko [2]

Answer:

See explanation

Step-by-step explanation:

Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

$\text{Diagonal}^2=\text{Side}^2+\text{Side}^2\\ \\\text{Diagonal}^2=5^2+5^2\\ \\\text{Diagonal}^2=25+25\\ \\\text{Diagonal}^2=50\\ \\\text{Diagonal}=\sqrt{50}=5\sqrt{2}\approx 7.07\ cm$

If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so

$\text{Diameter}=2\times 5=10\ cm$

Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.

6 0

4 years ago

A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following

GenaCL600 [577]

Answer: a. The correlation coefficient of the data is positive.

Step-by-step explanation:

Estimated slope of sample regression line = $\dfrac{Upper \ limit + lower\ limit}{2}$

Here , confidence interval : (-0.181, 1.529)

Estimated slope of sample regression line = $\dfrac{-0.181+1.529}{2}$

$=\dfrac{1.348}{2}\\\\=0.674\ \ \ \ [\text{ positive}]$

⇒Correlation coefficient(r) must be positive, So a. is true.

But, d. and e. are wrong(0.674 ≠ 0 or 1.348).

We cannot check residuals or its sum from confidence interval of slope of a regression line, so b is wrong.

We cannot say that scatterplot is linear as we cannot determine it from interval, so c. is wrong

So, the correct option : a. The correlation coefficient of the data is positive.

7 0

3 years ago

Jason rolls a fair number cube labeled 1 through 6, and then he flips a coin. What is the probability that he rolls a 3 and flip

qwelly [4]

The answer is 1/12

The chance of getting a 3 on a six-sided dice is 1/6

The possibility of getting heads on a two-sided coin is 1/2

6 multiplied by 2 is 12

1 multiplied by 1 is 1

Hope it helps!

3 0

3 years ago

Read 2 more answers

Graph the equation y=x+7

Otrada [13]

HERE IT IS!!!

I HOPE THIS IS GOOD ENOUGH

8 0

3 years ago

An architect designed this scale model of a warehouse for a building contractor.

Annette [7]

tl;dr Answer is C

Here we will have to calculate 3 different areas separately.

When calculating the area of the triangle we will use the formula

A = (h*b)/2

A = Area

h = height

b = base

To find the height we do X - Z

23 - 15 = 8 ft

To find the base we do Y - W

19 - 13 = 6 ft

Using the formula above we can now solve for A

A = (8*6)/2

A = (48)/2

A = 24 sq ft

Now we solve the two rectangles using the formula

A = wl

w = width

l = length

We will calculate the area of the left most rectangle first.

We know the length of the rectangle because it's Y - W and we are given the width of the triangle.

w = 15 ft

l = 6 ft

A = 15*6

A = 90 sq ft

Second Rectangle has the width of X and length of W

w = 23 ft

l = 13 ft

A = 23 * 13

A = 299 sq ft

Now we add all the areas to give us the total area of the warehouse.

24 + 90 + 299 = 413 sq ft

Therefore, the answer is C

5 0

3 years ago