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2 years ago

Select the correct answer.

Mathematics

2 answers:

Bogdan [553]2 years ago

7 0

Answer:

C. 044

Step-by-step explanation:

Probability of oil:

P(oil) = 45%

Probability of no oil:

P(no oil) = 100% - 45% = 55% = 0.55

Probability of testing for no oil:

P(test no oil) = 0.55*0.8 = 0.44

Correct choice is C

777dan777 [17]2 years ago

3 0

Answer:

the answer is A. 0.09

Step-by-step explanation:

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Solve y⁄5 + 8 = 13 for y. A. 16 B. 25 C. 105 D. 1

creativ13 [48]

Answer:

Step-by-step explanation:

given

$\frac{y}{5}$ + 8 = 13

Isolate $\frac{y}{5}$ by subtracting 8 from both sides

$\frac{y}{5}$ = 5 ( multiply both sides by 5 )

y = 25 → B

3 0

3 years ago

Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

If the discriminant is zero, the equation will have only one solution and it will be real
If the discriminant is greater than zero, then the equation will have two solutions and they both will be real.
If the discriminant is less than zero, then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know that our equation will have two solutions in the complex numbers.

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

2 years ago

Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)

kifflom [539]

If it is perpendicular to the line 14x-7y=4, then we know our line has the opposite and inverse slope of that line. Solving for y of the first line, we get y=2x-(4/7). All we care about is the coefficient of the x term, because that will give us our slope. The slope of the first line is 2, so the slope of out line is the opposite and inverse of that slope, which -(1/2).

Plugging into our slope- point formula, where y1=(-9), x1=2, and m=(-1/2), then:

y-(-9)=(-1/2)(x-2)

y+9=(-1/2)x+1

y=(-1/2)x-8

3 0

3 years ago

Triangle JKL is fromed by plotting three points. What is the leanth of sides JK?

Phoenix [80]

<h3>Solution:-</h3>