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3 years ago

Suppose X is normally distributed with mean 20 and standard deviation 4, find the value x0 such that P(X ≥ x0) = 0.975.

Mathematics

1 answer:

abruzzese [7]3 years ago

7 0

Answer:

12.16

Step-by-step explanation:

From your question, we have the following information

Mean = u = 20

Standard deviation sd = 4

P(X>Xo) = 0.975

1-0.975 = 0.025

P(z<Xo-20/4) = 0.025

Xo-20/4 = -1.96

We cross multiply

Xo - 20 = -1.96 x 4

Xo - 20 = -7.84

Xo = -7.84+30

Xo = 12.16

12.16 is the value of Xo and therefore the answer to this question.

Thank you!

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Simplify (4x^2+2)÷(2x^2-9x-5)

frosja888 [35]

Answer:

4.1 Pull out like factors :

4x2 + 2 = 2 • (2x2 + 1)

Polynomial Roots Calculator :

4.2 Find roots (zeroes) of : F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 2 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,2

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor -1 1 -1.00 3.00 -1 2 -0.50 1.50 1 1 1.00 3.00 1 2 0.50 1.50

Polynomial Roots Calculator found no rational roots

Trying to factor by splitting the middle term

4.3 Factoring 2x2 - 9x - 5

The first term is, 2x2 its coefficient is 2 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 2 • -5 = -10

Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -9 .

-10 + 1 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 1

2x2 - 10x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-5)

Add up the last 2 terms, pulling out common factors :

1 • (x-5)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-5)

Which is the desired factorization

Final result :

2 • (2x2 + 1) —————————————————— (x - 5) • (2x + 1)

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2 years ago

Question 10 Multiple Choice Worth 1 points)

Elis [28]

Answer:

Length = 8 feet

Step-by-step explanation:

Perimeter = 2 x ( length + width )

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10 = Length + 2

10 - 2 = Length

Therefore, Length = 8 feet

3 0

3 years ago

SOLVE ATTACHMENT 30 POINTS!!!!!!

Masteriza [31]

Answer:

Step-by-step explanation:

$- 3 {f}^{3} + \frac{1}{6} MB = D$

Multiply through by 6 to eliminate the fraction

That's

$- 18 {f}^{3} + MB = 6D$

Move - 18f³ to the right side of the equation

That's

$MB = 6D + 18 {f}^{3}$

Divide both sides by M to make B stand alone

That's

$\frac{MB}{M} = \frac{6D + 18 {f}^{3} }{M}$

We have the final answer as

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3 years ago

Read 2 more answers

Part A<br> Rewrite 0.5 as an exponential expression with a base of 2.

koban [17]

Answer:

$2^{-1}$

Explanation:

05/10

Simplifying

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3 years ago

A certain amount of money is shared between

ICE Princess25 [194]

<h3>Hello There !! </h3>

<h3><u>Explanation :- </u></h3>

• Amount received by Rui = 5x = 5 x 11 = $55..

• Amount received by Vishal = 9x = 9 x 11 = $99..

Let the amount received by Rui be 5x..

Then the amount received by Vishal is 9x ..

And by this data = 5x + 44 = 9x ..

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x = 44/4 = 11

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• Amount received by Vishal = 9x = 9 x 11 = $99..

<h3>Hope this helps you..! </h3>

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2 years ago