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Vitek1552 [10]
3 years ago
12

Determine the type of boundary line and shading for the graph of the inequality 5x+y grader than or equal to -10

Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0
5x + y > = -10
y > = -5x - 10

It will be a solid line because ur problem contains an equal sign.
It will be shaded on the side that includes the origin...because when u sub in (0,0), which is the origin, ur inequality is true
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Which one of these relationships is different than the other three? <br> A <br> B <br> C<br> D
wlad13 [49]

Answer:

B differs from the others

Step-by-step explanation:

The other lines all have slopes of 5.  Graph b has a slope of 5.5

7 0
2 years ago
Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st
emmasim [6.3K]

Answer:

the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

Step-by-step explanation:

Given the data in the question;

x        f(x)         xp(x)               x²p(x)

1         1/3        0.33333        0.33333

2        1/3        0.66667        1.33333

3        1/3        1.00000        3.0000

∑                    2.0000          4.6667

∑(xp(x)) = 2

∑(x²p(x)) = 4.6667

Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667

standard deviation σ = √variance = √0.6667 = 0.8165

Now since, n = 33 which is greater than 30, we can use normal approximation

for normal distribution z score ( x-μ)/σ

mean μ = 2

standard deviation = 0.817

sample size n = 33

standard of error σₓ = σ/√n = 0.817/√33 = 0.1422

so probability will be;

p( 2.1  < X < 2.4 ) = p(( 2.1-2)/0.1422) <  x"-μ/σₓ  <  p(( 2.4-2)/0.1422)

= 0.70 < Z < 2.81    

=  1 - ( 0.703 < Z < 2.812 )

FROM Z-SC0RE TABLE

=  1 - ( 0.25804 + 0.49752 )

= 1 - 0.75556

p( 2.1  < X < 2.4 ) = 0.2444

Therefore,  the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

7 0
3 years ago
You pay a processing fee and a daily fee to rent a beach house. The table shows the total cost of renting the beach house for di
Marat540 [252]

Answer:

3

Step-by-step explanation:

3

4 0
3 years ago
If $580 is invested in an account which earns 9% interest compounded annually, what will be the balance of the account at the en
joja [24]
The formula for compounded interest is A = P (1+r/n)^nt.
P=580 
r = .09
n = 1
t = 9
<span>
To find how much the balance is at the end of nine years, plug in all of the knows into the formula.</span>
A = 1259.698 is how much the balance will be. (Rounded to 1259.70 if you round to the nearest cent).



8 0
4 years ago
Please help me out with this problem!!!
Ronch [10]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation is linear and expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Given (0, - 2 ) then c = - 2

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with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table

m = \frac{1+2}{1-0} = 3, hence

y = 3x - 2 ← equation relating x and y

6 0
3 years ago
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