How many 1/8 inch pieces of ribbon can be cut from a piece of ribbon 3/4 inch long

Katyanochek1 [597]

Answer: 75 feet

Step-by-step explanation:

From the question, we are informed that two similar rectangles have a scale factor of 3:2 and that the perimeter of the small rectangle is 50 feet.

The perimeter of the large rectangle measured in feet will be calculated as:

= 3/2 × 50

= 150/2

= 75 feet

7 0

3 years ago

In a certain soccer tournament you are playing once with each of the other nine teams. In every match you get 3 points if you wi

bixtya [17]

Answer:

0.430625=0.431

Step-by-step explanation:

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

Read more on Brainly.com - brainly.com/question/14850440#readmore

4 0

3 years ago

The number of decimal places in the product will be sum of the factor"s decimal place.So the product will have 1,2,3 or 4 decima

vampirchik [111]

Answer:

$0.47 \to 2\ digits$

$3.2 \to 1\ digit$

$Product \to 3\ digits$

Step-by-step explanation:

Given

$0.47 * 3.2 =$

See comment for complete question

Required

The number of decimal places

To do this, we simply calculate the number of digits after the decimal points

$0.47 \to 2\ digits$

$3.2 \to 1\ digit$

The product is the sum of the digits above 2 + 1 = 3

Hence:

$Product \to 3\ digits$

6 0

3 years ago

A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data

Rasek [7]

Answer: a. 1.981 < μ < 2.18

b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

$\overline{x}=\frac{\Sigma x}{n}$

$\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}$

$\overline{x}=$ 2.08

Now, we estimate standard deviation:

$s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }$

$s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }$

s = 0.1564

For t-score, we need to determine degree of freedom and $\frac{\alpha}{2}$ :

df = 12 - 1

df = 11

$\alpha$ = 1 - 0.95

α = 0.05

$\frac{\alpha}{2}=$ 0.025

Then, t-score is

$t_{11,0.025}$ = 2.201

The interval will be

$\overline{x}$ ± $t.\frac{s}{\sqrt{n} }$

2.08 ± $2.201\frac{0.1564}{\sqrt{12} }$

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

8 0

3 years ago

Pls help with my homework I need help

shusha [124]

Answer:

tan G = 1.6071

Step-by-step explanation:

tan G = 45/28

tan G = 1.6071

6 0

3 years ago

How many 1/8 inch pieces of ribbon can be cut from a piece of ribbon 3/4 inch long​

How many 1/8 inch pieces of ribbon can be cut from a piece of ribbon 3/4 inch long