Are the following polygons similar? If so what is the scale factor?

Which unit of measure is the most reasonable to measure the length from your house to the grocery store?

Anit [1.1K]

B. miles because its a longer distance with leads to a smaller number

4 0

3 years ago

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are rando

Allushta [10]

<u>Answer:</u>

The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744

<u>Solution:</u>

Total number of coils = number of good coils + defective coils = 88 + 12 = 100

p(getting two good coils for two selection) = p( getting 2 good coils for first selection ) $\times$ p(getting 2 good coils for second selection)

p(first selection) = p(second selection) = $\frac{\text { number of good coils }}{\text { total number of coils }}$

Hence, p(getting 2 good coil for two selection) = $\frac{88}{100} \times \frac{88}{100} =\bold{0.7744}$

5 0

3 years ago

Bath and 1 yard of ribbon. She is 1/2 yard for project. She wants to divide the rest of the ribbon into pieces 1/4 yards long. H

ikadub [295]

Answer:

2

Step-by-step explanation:

Given:

Total length of ribbon = 1 yard

Length of ribbon used for project = $\frac{1}{2}$ yard

Length of ribbon the rest of ribbon is to be divided = $\frac{1}{4}$ yard

To find:

The number of ribbons of length $\frac{1}{4}$ yard that can be made = ?

Solution:

Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.

i.e.

Length of ribbon left = $1-\frac{1}{2} =\frac{1}{2}$ yard

Now, number of ribbon of length $\frac{1}{4}$ yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.

i.e.

Number of ribbons:

$\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{1}{2}\times 4 = 2$

3 0

3 years ago

Item 9 Find the annual interest rate. I=$562.50, P=$1500, t=5 yearsI=$562.50, P=$1500, t=5 years The annual interest rate is %.

Anton [14]

Hi there :-)
The formula of the simple interest is
I=prt
your question ask to find r which is interest rate you do that by dividing each side by (pt) to get
R=I÷pt
Now solve to get the interest rate
R=562.5÷(1,500×5)
R=0.075×100 multiply by 100 to get it as percentage
R=7.5%

Hope it helps:-)

4 0

3 years ago

Accounting procedures allow a business to evaluate their inventory costs based on two methods: LIFO (Last In First Out) or FIFO

ivanzaharov [21]

Answer: The FIFO method result in lower cost of inventory than the LIFO method.

Step-by-step explanation:

In the FIFO method old inventories are used to determine cost of goods sold (COGS), which result to less income because COGS is lesser, while it is greater in LIFO.

However, in LIFO, old and outdated inventories are valued lower than the present price. It not a good indicator of ending inventory value.

B. To calculate the degree of freedom of the inventory sample given: 1. 225221, 2. 119100, 3. 100113, 4. 212200, 5. 248245.

STEP 1. Find the mean or average of the samples.

Let x be the sample average, and N the sample size which is 5

x = 225221 + 119100 + 100113 + 212200 + 248245/5 = 180975.8

STEP 2. Degree of freedom Df is given as Df = N - 1

Remember, N is the sample size given as 5.

Df = 5 - 1 = 4.

CONCLUSION:

This shows that four numbers from the samples given have the freedom to vary as long as the average remains 180975.8.

8 0

3 years ago