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butalik [34]
3 years ago
8

For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X > 40) = 0.16. Calculate the following probabilities. (Leave

no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
Mathematics
1 answer:
yan [13]3 years ago
5 0

Answer:

For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X > 40) = 0.16.

Step-by-step explanation:

Here, P(x > 40) = 0.16

a). P(x < 40) = 1 - P(x > 40)

                   =  1 - 0.16

                    = 0.84

b). P(x < 20) = 1 - P(x\geq 20)

                    = 1 - {P(20 ≤ X ≤ 40) + P(X > 40)}

                    = 1 - (0.15 + 0.16 )  

                    = 1 - 0.31

                    = 0. 69

c). P(x = 40) = 0; The probability that a continuous variable assume a particular value is zero.

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You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed?
Serggg [28]

Answer:

B

Step-by-step explanation:

The <u>Elimination Method</u> is the method for solving a pair of linear equations which reduces one equation to one that has only a single variable.

  • If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.
  • If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.

When multoplying the equation by a coefficient, we multiply both sides of the equation (multiplying both sides of the equation by some nonzero number does not change the solution).

So, option B is not allowed (it is not allowed to multiply only one part of equation)

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3 years ago
Which system has no solution y=-3x+8 6x+2y=-4.5
Galina-37 [17]
I think it’s y=3x+8 I’m not sure if that’s what you’re asking me
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3 years ago
if A and B together can do a piece of work in 10 days and B along can do it in 15 days, how many part of the work does A complet
anzhelika [568]

Answer:

1/5

Step-by-step explanation:

Well work can be defined as: work = rate \ *\ time

where rate=amount of work that can be done in one unit of time

let a = rate of work A does in a day

let b = rate of work B does in a day

this means that: 10a + 10b=1 where work=1 and it just means the entire job has been completed.

Since b can do it alone in 15 days, this means that: 15b=1

If we divide by 15 here, we get the equation: b=\frac{1}{15}

We can now use this definition to substitute it into the first equation we made.

10a + 10(\frac{1}{15}) = 1

Multiply the 10 and 1/15

10a+\frac{2}{3}=1

subtract 2/3 from both sides

10a=\frac{1}{3}

Now divide both sides by 10

a=\frac{1}{30}

Now multiply this by 6, since we a represents the amount of work that can be done in a day, we want to find how many parts of the work can be done by a in 6 days

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Now divide both the numerator and denominator by 6

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2 years ago
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sesenic [268]

Answer:

$195.00

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area is 152  ft^{2}

54' * $1.50 = $81.00

152/8 = 19 bags of mulch needed

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8 0
3 years ago
A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the t
notka56 [123]

Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

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I hope this helps you!

5 0
3 years ago
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