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4 years ago

Which is most likely the first step in solving a system of nonlinear equations by substitution?

2 answers:

8 0

<span><u><em>The correct answer is: </em></u>
C) isolating a variable in one of the equations.

<u><em>Explanation</em></u><span><u><em>: </em></u>
In order to solve a system of equations using substitution, we must have one of the variables isolated; this is the only way we have something to substitute. If one of the variables is not already isolated, that must be our first step.</span></span>

lyudmila [28]4 years ago

5 0

Isolating a value in one of the equations

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Let X be a normal random variable with mean 3 and variance 4. (a) Find the probability P(2 < X < 6). (b) Find the value c

Vanyuwa [196]

Answer:

a) the probability of (2 < X < 6) is 0.6247

b) the value of c is 3.878

c) the value of E[ x² ] is 13

Step-by-step explanation:

Given that;

mean μ = 3

variance = 4

standard deviation s = √variance = √4 = 2

(a) Find the probability P(2 < X < 6)

P(2 < X < 6) = p( (x - μ / s ) < z < (x - μ / s ) )

= p( (2 - 3 / 2 ) < z < (6 - 3 / 2 ) )

= p( -0.5 < z < 1.5)

from z-score table, 1.5; z = 0.9332 and -0.5; z = 0.3085

P(2 < X < 6) = 0.9332 - 0.3085 = 0.6247

Therefore, the probability of (2 < X < 6) is 0.6247

b) Find the value c such that P(X > c) = 0.33

with p-value = 0.33, the corresponding z -score to the right is 0.439

we know that;

z = x - μ / s

we substitute

0.439 = x - 3 / 2

x - 3 = 2 × 0.439

x - 3 = 0.878

x = 0.878 + 3

x = 3.878

Therefore, the value of c is 3.878

c) Find E[ x² ].

Variance = E[ x² ] - [ mean ]²

E[ x² ] = Variance + [ mean ]²

we substitute

E[ x² ] = 4 + [ 3 ]²

E[ x² ] = 4 + 9

E[ x² ] = 13

Therefore, the value of E[ x² ] is 13

4 0

3 years ago

Can someone help me with problem?

Dennis_Churaev [7]

He has 4 yellow bushes ! :D

7 0

3 years ago

the stairway to a cellar has a slope of -4/3, and the cellar is 2m below the ground. the equation y=-4/3x-2 models the stairway.

8_murik_8 [283]

Shown below

<h2>Explanation:</h2>

The stairway to a cellar has a slope of -4/3, that is:

$m=-\frac{4}{3}$

On the other hand, the cellar is 2m below the ground. In other words:

$y-intercept: \\ \\ b=-2$

So this can be modeled by the equation of the line:

$y=-\frac{4}{3}x-2$

The line has a y-intercept at point (0, -2) and as x increases 3 units y decreases 4 units. So:

$x=3 \\ \\ y=-\frac{4}{3}(3)-2=-6 \\ \\ (3,-6) \ is \ also \ a \ point \ on \ the \ line$

Finally, let's draw a line that passes through:

$(0,-2) \ and \ (3,-6)$

By using graphing tool, we get the line shown below.

<h2 /><h2>Learn more:</h2>

Rules of translation: brainly.com/question/14200511#

#LearnWithBrainly

3 0

4 years ago

What is the measurement of the unknown fourth interior angle of this quadrilateral? A) 80° B) 95° C) 100° D) 115°

barxatty [35]

Answer: The Answer is 100, sorry that you got it so late.

Step-by-step explanation:

What I did

1. Find the difference between the numbers

2. Look through answer choices

3. Because the difference of 80 and 75 was 5, 105 would be 100.

Sorry if this doesn't make sense.

7 0

4 years ago

Read 2 more answers

Toru takes his dog to be groomed. The fee to groom the dog is $75 plus 7% tax. Is $80 enough to pay for the service? Explain.

weqwewe [10]

80$ won't be enough to pay
He would like need 6 more cents
he needs 80.06$
because

7 0

3 years ago