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3 years ago

Simplify 24+4x-6(2x-5)

Mathematics

2 answers:

Alexxx [7]3 years ago

5 0

2 (-4x + 27) Hope this helps. :)

Ksju [112]3 years ago

5 0

-8x+54 is the answer

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Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below

mafiozo [28]

Answer:

a) $\bar X = 369.62$

b) $Median=175$

c) $Mode =450$

With a frequency of 4

d) $MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

<u>e)</u> $s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

Step-by-step explanation:

We have the following data set given:

49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000

Part a

The mean can be calculated with this formula:

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

Replacing we got:

$\bar X = 369.62$

Part b

Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

$Median=175$

Part c

The mode is the most repeated value in the sample and for this case is:

$Mode =450$

With a frequency of 4

Part d

The midrange for this case is defined as:

$MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

Part e

For this case we can calculate the deviation given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

5 0

3 years ago

Alice owns a monthly salary of $315 plus a commission on her total sales last month or total sales were $9640 and she earned a t

miskamm [114]

It's $1082.60•9640 which equals 1'"0=*000.

6 0

3 years ago

Find the measure of the given angle.

FrozenT [24]

Answer:

angle UWT=150 degrees

Step-by-step explanation:

angle UWT=360-80-130

angle UWT=150 degrees

5 0

3 years ago

There are 4,200 adults in Lakeview. Three-eighths of the adults in Lakeview do not have children. How many adults in Lakeview ha

Inessa [10]

To answer this, you first have to find 3/8 of 4200 by multiplying those two numbers.

$\frac{4200}{1} *\frac{3}{8}$

First, multiply the numerators.

4200x3=12600

Next, multiply the denominators.

1x8=8

You end up with $\frac{12600}{8}$ .

This fraction can be simplified to 1575.

All that's left is to subtract that number from 4200.

4200-1575=2625

The final answer is 2625 adults in Lakeview have children.

8 0

3 years ago

The ratio of the lengths of corresponding parts in two similar solids is 4:1.

Rina8888 [55]

Answer:

the ratio is 16:1

Step-by-step explanation:

surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.

$4^{2} : 1^{2} -->16:1$

7 0

3 years ago