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slava [35]
3 years ago
5

Rehan wants to add a fence along his triangular garden whose sides are 14m,16m and 20m. What will be the length of fencing mater

ial? Give your answer in cm.
Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

5000cm

Step-by-step explanation:

14 + 16 + 20 = 50m

50m x 100cm/m = 5000cm

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Wee-Mobile is offering a cell phone family plan for its users. The breakdown of the cost of the plan per month is given below.
Stells [14]

The total cost for a 6-month plan for n lines is represented by the equation:

Cost = 660n + 100

This equation is in the slope intercept form. The coefficient of n represents the slope here.

In the given scenario the slope can be interpreted as the total variable cost for one line for a period of 6 months.

The variable costs are associated with a line are:

1) Unlimited data cost ($40 per month). So for 6 months this cost will be $240

2) Unlimited Call cost ($10 per month). So for 6 months this cost will be $60

3) Unlimited Text Message Cost ($10 per month). For 6 months this cost will be $60.

4) Cost of Phone ($300 per line)

Adding these costs up we get: 240 + 60 + 60 + 300 = $660

Thus, 660 represents the total cost per line for unlimited data, calls, text message and one phone for 6 months. Therefore, option A gives the correct answer.

8 0
3 years ago
A company has 2 machines that manufacture widgets. An older machine manufactures 25% defective widgets, while the new machine ma
Bingel [31]

Answer:

73.90%

Step-by-step explanation:

Let Event D=Defective,  D' = Non Defective

Let Event N=New Machine, N' = Old Machine

From the given information:

P(D|N')=0.25\\P(D|N)=0.09\\P(N)=0.7\\P(N')=0.3

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.  

i.e. P(N|D')

P(D'|N')=1-P(D|N')=1-0.25=0.75\\P(D'|N)=1-P(D|N)=1-0.09=0.91

Using Baye's Law of conditional Probability

P(N|D')=\dfrac{P(D'|N)P(N)}{P(D'|N)P(N)+P(D'|N')P(N')} \\=\dfrac{0.91*0.7}{0.91*0.7+0.75*0.3}\\ =0.73897\\\approx 0.7390

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.

5 0
3 years ago
Evaluate 5(6) -c ifc=7
ahrayia [7]
23.

Work:
5(6)-7
5(6)=30
30-7=23
5 0
3 years ago
Read 2 more answers
explain how you could use the greatest common factor of 8 and 20 in the distributive property to write 8 + 20 as a product​
GenaCL600 [577]

Answer: 4(5+2) or 4(2+5)

Step-by-step explanation:

8 = 2*2*2

20 = 2*2*5

4(5+2) = 20+8

6 0
3 years ago
Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that
svetoff [14.1K]
Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,       
 
        y = mx + b 

where m is slope and b is the y-intercept.

Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2

A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1

B. 2y = 1.5x - 1
Slope-intercept:  y = 3x/4 - 1/2

C. 3x + 4y = 2
Slope-intercept:  y = -3x/4 + 1/2

D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2

Hence, the answers to this item are A and D. 
6 0
4 years ago
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