2. (x3 – 6x2) (x

The Venn diagram shows how many of the employees at a bookstore speak Spanish, Chinese, and Russian.

Lostsunrise [7]

Answer:

The correct answer is D: 28

8 0

2 years ago

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What is the quotient of 1/2÷1/6=

Sphinxa [80]

1/2 <span>÷ 1/6 =

Divide fractions:

a x d / b x c

Therefore:

1 x 6 / 2 x 1 =

6 / 2 = 3

hope this helps!

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3 0

3 years ago

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3x7 I need help with this i do not know the answer pls help.

kakasveta [241]

Answer:

21

Step-by-step explanation:

7+7+7=21

3 0

2 years ago

Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several

Alchen [17]

Answer:

a) The system that models the situation is:

p + 0.2m = 3

p + m = 5

b) The solution of the system is:

m = 2.5

p = 2.5

Step-by-step explanat:

It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.

It has a mixture of 20% peanuts and 80% almonds.

p: number of pounds of peanuts

m = amount of mixture

The equation that represents the amount of peanut and mixture that is needed is:

p + m = 5 pounds

m = 5-p (i)

The amount of peanut in total that the mixture should have is:

p + 0.2m = 0.6 (5)

p + 0.2m = 3 (ii)

a) The system that models the situation is:

p + 0.2m = 3

p + m = 5

Now we substitute (i) in (ii) and clear p.

p + 0.2 (5-p) = 3

p-0.2p = 2

p = 2.5 pounds

Now we find m

m = 5 - 2.5

m = 2.5 pounds

b) The solution of the system is:

m = 2.5

p = 2.5

7 0

2 years ago

The average number of minutes Americans commute to work is 27.7 minutes. The average commute time in minutes for 48 cities are a

dolphi86 [110]

Answer:

a) $\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = 27.2$

b) For this case we have n =48 observations and we can calculate the median with the average between the 24th and 25th values on the dataset ordered.

20.4 20.4 20.5 21.7 22.3 23.3 23.6 23.7 23.7 23.7 23.9 23.9 24.1 24.3 24.7 24.9 25.1 25.1 25.1 25.2 25.3 25.6 26.1 26.1 26.4 26.5 26.7 27.1 27.1 27.4 27.6 28.4 28.6 28.6 28.7 28.8 28.8 29.6 31.0 32.0 32.0 32.4 32.5 32.9 33.1 34.5 38.4 44.1

For this case the median would be:

$Median = \frac{26.1+26.4}{2}=26.25 \approx 26.3$

c) $Mode= 23.2, 25.1$

And both with a frequency of 3 so then we have a bimodal distribution for this case

Step-by-step explanation:

For this case we have the following dataset:

23.6, 26.5, 28.6, 28.6, 23.7, 25.3, 24.9, 28.7, 26.7, 32.4, 20.4, 23.9, 32.0, 32.5, 23.7, 26.1, 21.7, 26.1, 38.4, 24.1, 20.5, 25.2, 31, 26.4, 27.1 ,25.1, 25.1, 23.7, 23.9, 32.9, 28.8, 25.6, 28.8, 28.4, 32, 27.6, 29.6, 44.1, 27.1, 24.7, 22.3, 24.3, 23.3, 27.4, 20.4, 25.1, 34.5, 33.1

Part a

We can calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = 27.2$

Part b

For this case we have n =48 observations and we can calculate the median with the average between the 24th and 25th values on the dataset ordered.

20.4 20.4 20.5 21.7 22.3 23.3 23.6 23.7 23.7 23.7 23.9 23.9 24.1 24.3 24.7 24.9 25.1 25.1 25.1 25.2 25.3 25.6 26.1 26.1 26.4 26.5 26.7 27.1 27.1 27.4 27.6 28.4 28.6 28.6 28.7 28.8 28.8 29.6 31.0 32.0 32.0 32.4 32.5 32.9 33.1 34.5 38.4 44.1

For this case the median would be:

$Median = \frac{26.1+26.4}{2}=26.25 \approx 26.3$

Part c

For this case the mode would be:

$Mode= 23.2, 25.1$

And both with a frequency of 3 so then we have a bimodal distribution for this case

4 0

3 years ago

2. (x3 – 6x2) (x – 7)