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xeze [42]
4 years ago
5

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.

Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?
A.
0.09

B.
0.11

C.
0.36

D.
0.44
Mathematics
2 answers:
sveticcg [70]4 years ago
6 0

Answer:

0.36

Step-by-step explanation:

0.45 x 0.80

= 0.36

Anna [14]4 years ago
5 0
In this case you the probabilities can be multiplied similarly to if you flipped a coin twice. .45 * .80 = .36
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The equation of line L is y=5x+1
Nookie1986 [14]

Consider the complete question is "The equation of the line L_1 is y=5x+1 and the equation of line L_2 is 2y-10x+3=0. How can you show that these two lines are parallel?"

Given:

Equation of L_1 is y=5x+1.

Equation of L_2 is 2y-10x+3=0.

To show:

The these line as parallel.

Solution:

We have,

y=5x+1        ...(i)

2y-10x+3=0      ...(ii)

Equation (ii) can be written as

2y=10x-3

y=\dfrac{10x-3}{2}

y=\dfrac{10x}{2}-\dfrac{3}{2}

y=5x-\dfrac{3}{2}           ...(iii)

Slope intercept form of a line is

y=mx+b          ...(iv)

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

On comparing (i) with (iv), we get slope of line L_1.

m_1=5

On comparing (iii) with (iv), we get slope of line L_2.

m_2=5

Since, m_1=m_2, therefore, lines L_1 and L_2 and parallel because slope of two parallel lines are always equal.

Hence proved.

8 0
3 years ago
What is the slope of the line passing through the points (-5, 7) and (-3, 5)? -1/4 -1 1
Gnesinka [82]
Slope form is y/x
to find this subtract -5, 7 by -3, 5 to get
-2, 2 and putting it in slope format....2/-2 which would be -1 or just -x (means -1x)
so far we've found out.....y = -x (+b)
b is what we need to find now so... plug in one of the coordinates
7=5+b (5 because --5 is positive 5)
b=2
so FINALLY the equation would be y = -x + 2

3 0
3 years ago
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prohojiy [21]

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DochEvi [55]

Answer:

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Nadya [2.5K]

Answer:

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Step-by-step explanation:

Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.

ie: x(x) and x(6)

ie: x^2 + 6x

Then do the 5 times the things in the second parenthesis.

ie: 5(x) and 5(6)

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Then add what you got from multiplying the first value to what you got from multiplying the second.

ie: x^2 + 11x + 30

This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.

ie: -x^2 - 11x -30

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