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fenix001 [56]
4 years ago
12

Write each compound inequality as an absolute value inequality 1.3

Mathematics
1 answer:
kakasveta [241]4 years ago
7 0
Consider an absolute value inequality.

For example, 3≤|x-7|

this means that x-7 can be

i) 3,    3.4,    5,    7.5       etc
                                 
or   ii) -3,    -3.2,     -4.7    etc since these values in abs value all are ≥3
 

thus  the set of all values in i) is represented by x-7≥3, which means x≥10

and the set of all values in ii) is  x-7≤-3, which means x≤4.



Thus, the compound inequality is : x≥10  OR x≤4

an absolute inequality corresponding to this compound inequality is 3≤|x-7|

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Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
Suppose that you are a city planner who obtains and sample of 20 randomly selected members of a mid-sized town in order to deter
Dmitry_Shevchenko [17]

Answer:

The critical value for the 95% confidence interval is z = 1.96.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96.

The critical value for the 95% confidence interval is z = 1.96.

5 0
3 years ago
Math geometry help please help
lubasha [3.4K]
Just divide the population by the area:

2,695,694 / 227.6 = ~11,844 people per mi^2. Or population density per square mile.
You're in k12 to?
8 0
3 years ago
Using technology, determine the present value given that you make monthly payments of $250.00 at 2.3% compounded monthly over a
Marta_Voda [28]
Here is the answer. Since the given amount $250 is compounded monthly over a 5 year period with an interest of 2.3%, here is the answer. First, we get 2.3% of $250 and the answer is $5.75. In a year, there is 12 months. 12 months times 5 years is 60 months. Now we multiply 60 by 5.75 and the answer is $345. Therefore, the present value of $250 is $595. Hope this helps.
3 0
3 years ago
Which graph shows a linear function?
12345 [234]

Answer:

The first graph, upper left corner

Step-by-step explanation:

Linear means line so choose the graph with a straight line

6 0
3 years ago
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