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3 years ago

Write an inequality that represents the graph.

Mathematics

1 answer:

Anika [276]3 years ago

5 0

Answer:

$y - 2x - 1 = 0$

Step-by-step explanation:

the slope is :

$\tan( \alpha ) = 4 \div 2 = 2$

at a pt on graph , when

$x = 1 \\ y = 3 \\$

therefore, coordinates are (1,3)

The equation is :

$(y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0$

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he numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance

Naddik [55]

Answer:

Range = 13

Mean = 8.4

Variance= 21.24

Standard deviation= 4.61

Step-by-step explanation:

2, 10, 15, 3, 13, 9, 14, 7, 2, 9

For the range

Let the set of data be arranged inn ascending order

Range= higehest value- lowest value

Range = 15-2

Range= 13

For the mean

Mean = (2+2+3+7+9+9+10+13+14+15)/10

Mean = 84/10

Mean = 8.4

For variance

Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10

Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10

Variance= 212.4/10

Variance= 21.24

Standard deviation= √variance

Standard deviation= √21.24

Standard deviation= 4.609

Approximately = 4.61

6 0

3 years ago

Without solving an equation how can you determine if the equation has one solution?

amid [387]

Answer:

Yes. If it has one variable and not exponential the solution is 1.

If is one variable and to power of 2 it is quadratic and two solutions.

If it two variable with no power it is simultaneous and with 2 solutions. E.t.c

Step-by-step explanation:

7 0

4 years ago

A tree cutting business has an insurance policy to cover any damages caused during the tree cutting process. The business pays a

Yakvenalex [24]

Answer:

-$500

Step-by-step explanation:

The expected value of a payment from the policy is ...

$500,000 × 0.002 = $1000

Since the business pays $1500 for the policy, the expected value to the business is ...

$1000 - 1500 = -$500 . . . per year

_____

Of course, the expected value to the insurance company is $500 per year.

_____

We have computed on the basis of 1 claim per year. If we consider the possibility of multiple independent claims, then the expected payment from the insurance goes up by a factor of 1/(1 -0.002) ≈ 1.002004008016.... This has the effect of increasing the expected value by $2.00 per year to -$498.

3 0

4 years ago

Is the given value a solution to the equation? 4(n) - 3 = -2(n) + 9 n=2

nlexa [21]

Answer:

Yes!

The solution to the equation is n = 2

Step-by-step explanation:

Given the equation

$4\left(n\right)-3=-2\left(n\right)+9$