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Svet_ta [14]
3 years ago
15

Help me please and explain if possible?

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0
Let x = months

so we know that price of software package is $20
Now we need to find x the price of one month

we know that Angie and Kenny spent 115 total

Angie: 20 + 3x ( one software pack + 3(price of one month)
Kenny: 20+ 2x ( one software pack + 2( price of one month)

So Angie + Kenny = $ 115

20 + 3y + 20 + 2y = 115

combine like terms and solve for x. That will give you the cost of one month

40 + 5x = 115
-40 -40

5x= 75
5x/5 = 75/5

x=15
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Use the dot plot to answer the question.
Tcecarenko [31]

Answer:

Mean of the data set in the dot plot would be: 3.6

Step-by-step explanation:

As we know that Mean from the dot plot can be obtained by:

  • adding the numbers and then
  • divide the resulting sum by the number of addends.

Please check the attached figure where the dot plot is also plotted.

From the dot plot, it is clear that

There are 3 dots at 1.

There are 4 dots at 2.

There are 3 dots at 3.

There are 4 dots at 4.

There are 5 dots at 5.

There are 3 dots at 6.

All we have to do is to add the dots and divide the sum by the number of addend dots.

In other words:

There are 3 dots at 1    ⇒  1+1+1

There are 4 dots at 2   ⇒  2+2+2+2

There are 3 dots at 3   ⇒   3+3+3

There are 4 dots at 4   ⇒   4+4+4+4

There are 5 dots at 5   ⇒   5+5+5+5+5

There are 3 dots at 6   ⇒   6+6+6

As there are total 22 dots.

And the sum of all the dots with respect to their plot number = 79

i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79

Thus

Mean of the data set in the dot plot = 79/22

                                                            = 3.6

Therefore, Mean of the data set in the dot plot would be: 3.6

4 0
3 years ago
11 to the 3rd power + 3 to the 2nd power?
Sergio039 [100]
The would be something about 1779556

(hope this helps)
8 0
3 years ago
Read 2 more answers
According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the
Elanso [62]

Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the  probability that more than 20% of this sample is comprised of female employees is given by :-

P(p>0.20)=P(z>\dfrac{0.20-0.16}{\sqrt{\dfrac{0.16(1-0.16)}{154}}})

[∵ z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}]

=P(z>1.35)\approx1-P(z\leq1.35)=1-0.9115=0.0885  [Using the standard z-value table]

Hence, the required probability = 0.0885

6 0
3 years ago
Which of the following is true of the values of x and y in the diagram below? A unit circle is shown. A radius with length 1 for
lesantik [10]

Answer:

y/x = 1 got it right on edg

Step-by-step explanation:

6 0
3 years ago
What is the surface area of the figure? Use 3.14 for π.
fredd [130]

Answer:

Option 3

Step-by-step explanation:

We want to work out the surface-area

This is a cylinder and the formula for the surface area of a cylinder is :

2πrh+2πr^2

^ means to the power of

The radius is 15

The length is 18

2(3.14)(15)(18) + 2(3.14){15}^2

Part 1:

(6.28)(15)(18)

(6.28)(270)

1695.6

Part 2:

First, we do the exponents,

15^2 = 225

(6.28)(225)

1413

Part 3:

1695.6 + 1413 = 3108.6

Answer: 3108.6

Hope this helps :)

6 0
3 years ago
Read 2 more answers
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