All categories

3 years ago

Simplify the following fraction expressions. Show all of your work. a. 3/4+2/3 b. 7/8-1/4 c. 3/5.1/3 d. 4/7.2/3

Mathematics

1 answer:

mestny [16]3 years ago

6 0

Answer:

Step-by-step explanation:

a. 9/12 + 8/12 = 17/12= 1 5/12

b. 7/8 - 2/8 = 5/8

c. 3/5 x 1/3 = 3/15 = 1/5

d. 4/7 x 2/3 = 8/21

You might be interested in

(0,1) & (4, -9) slopes

Levart [38]

Answer: -5/2

Step-by-step explanation:

(-9-1)/(4-0) = -10/4 = -5/2

8 0

3 years ago

I can earn coins

Airida [17]

Answer:

28 because he loaned ant how loaning gos

6 0

3 years ago

Read 2 more answers

True or False. To select 3 items out of 4 distinct objects, use C(4,3).

kenny6666 [7]

Answer:

True.

Step-by-step explanation:

C(4, 3) means the number of combinations from 4 items taking 3 at a time. We are selecting 3 distinct items and it doesn't say anything about the order in which they are selected , so we use a combination formula not a permutation ( where order does matter).

C(4, 3) = 4! / 3! 1!

= 4*3*2*1 / 3*2*1*1

= 4.

There are 4 ways to select 3 items from 4.

6 0

3 years ago

Each of 16 students measured the circumference of a tennis ball by four different methods, which were:Method A: Estimate the cir

lys-0071 [83]

Answer:

a) $\bar X_A =22.744$

$\bar X_B =20.7$

$\bar X_C =21.013$

$\bar X_D =18.306$

b) $Median_A =\frac{23+24}{2}=23.5$

$Median_B =\frac{20.4+20.4}{2}=20.4$

$Median_C =\frac{21+21}{2}=21$

$Median_D =\frac{20.7+20.7}{2}=20.7$

c) $\bar X_A =23.25$

$\bar X_B =20.7$

$\bar X_C =21.04$

$\bar X_D =20.69$

Step-by-step explanation:

Data given

Assuming the following data:

Method A: 18.0, 18.0, 18.0, 20.0, 22.0, 22.0, 22.5, 23.0, 24.0,24.0,25.0,25.0, 25.0,25.0,26.0,26.4

Method B: 18.8, 18.9, 18.9, 19.6, 20.1, 20.4, 20.4, 20.4, 20.4,20.5, 21.2. 22.0,22.0, 22.0,22.0,23.6

Method C: 20.2, 20.5, 20.5, 20.7, 20.8, 20.9, 21.0, 21.0,21.0,21.0, 21.0, 21.5,21.5,21.5,21.5,21.6

Method D: 20.0, 20.0, 20.0,-20.0, 20.2, 20.5, 20.5, 20.7, 20.7,20.7, 21.0, 21.1, 21.5, 21.6, 22.1,22.3.

Part a

The sample mean is defined as:

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

If we apply this formula for the four methods we got:

$\bar X_A =22.744$

$\bar X_B =20.7$

$\bar X_C =21.013$

$\bar X_D =18.306$

Part b

Since the total number of points for each method is 16 and this is an even number we need to calculate the median as the average between the 8th and the 9th position of the data ordered from the smallest to the largest. If we do this we have that:

$Median_A =\frac{23+24}{2}=23.5$

$Median_B =\frac{20.4+20.4}{2}=20.4$

$Median_C =\frac{21+21}{2}=21$

$Median_D =\frac{20.7+20.7}{2}=20.7$

Part c

The trimmed mean by 20% means that we need to calculate removing the 20% from each of the tails, the 20% of 16 is 3.2, so we need to remove 3 observations from both ends of the data like this:

Method A: 20.0, 22.0, 22.0, 22.5, 23.0, 24.0,24.0,25.0,25.0, 25.0

Method B: 19.6, 20.1, 20.4, 20.4, 20.4, 20.4,20.5, 21.2. 22.0,22.0

Method C: 20.7, 20.8, 20.9, 21.0, 21.0,21.0,21.0, 21.0, 21.5,21.5

Method D: 20.0 20.2, 20.5, 20.5, 20.7, 20.7,20.7, 21.0, 21.1, 21.5.

If we calculate the mean for each method we got:

$\bar X_A =23.25$

$\bar X_B =20.7$

$\bar X_C =21.04$

$\bar X_D =20.69$

3 0

3 years ago

A large scale commercial bakery makes cream filling for snack cakes. The bakery puts a new machine into production. The machine

lana [24]

Answer:

The new machine makes 4002.8 pounds of cream filling during the first week of production.

Explanation:

Assuming the rate of cream filling production is 230e^0.23x pounds per day.

8 0

3 years ago