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3 years ago

If z is a standard normal variable, find the probability. the probability that z lies between -2.41 and 0

1 answer:

5 0

To solve this problem, what we can do first is to find for the value of probability (p value) using the standard distribution tables for z. Looking at the table, we can see that the p values are:

when z = - 2.41:

p value = P (z = - 2.41) = 0.0080

when z = 0:

p value = P (z = 0) = 0.5000

The probability that z lies between – 2.41 and 0 is the difference of the two probabilities, with the bigger probability subtracted by the smaller probability. That is:

P (0 ≥ z ≥ -2.41) = 0.5000 - 0.0080

P (0 ≥ z ≥ -2.41) = 0.4920

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I’m not good in algebra so help me out please ☹️

Monica [59]

Answer:

I believe it's B.

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3 years ago

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

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7 0

1 year ago

Emma took a taxi from the airport to her house.

Natali5045456 [20]

Hi there! The answer is 10 miles.

Let the distance be represented by b.
The cost if the ride will therefore be
$5 + ( $3.70 × d )

We end up with the following equation
$5 + 3.7d = 42$

Subtract 5 from both sides.
$3.7d = 37$

Divide both sides by 10.
$d = \frac{37}{3.7} = 10$

Therefore, Emma had a taxi ride of 10 miles.

8 0

3 years ago

Read 2 more answers

Solve the absolute value equation:<br><br> |3x+3|=10

yarga [219]

Answer:

x = 2.33

Step-by-step explanation:

We know that when there is an absolute value sign, the value inside the bars is always positive.

=> I3x + 3I = 10
=> 3x + 3 = 10
=> 3x = 10 - 3
=> 3x = 7
=> x = 7/3
=> x = 2.33 (Rounded to nearest hundredth)

Hence, the value of x is 2.33.

8 0

2 years ago

Read 2 more answers

Elliott buys a TV. The receipt says that the total of the TV is $252.99, including sales tax. The original price (without tax) o

postnew [5]

Answer:

Step-by-step explanation:

234.25$ : 100 = 252.99$ : x

234.25x = 252.99 x 100

234.25x = 25299

25299 divided by 234.25 is 108

so answer 8%

6 0

3 years ago