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Scorpion4ik [409]

3 years ago

11

Help me in this x^2 - x = 12

1 answer:

aleksley [76]3 years ago

8 0

x^2 - x = 12

Move 12 over.

x^2-x-12=0

Factor trinomial.

(x-4)(x+3)=0

x=4,-3

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Please solve thank you

Y_Kistochka [10]

9514 1404 393

Answer:

2

Step-by-step explanation:

The second step of the solution shows division by 2 on the left. Consequently, it must also show division by 2 on the right.

2 goes in the green box

_____

$\dfrac{2p}{2}=\dfrac{18}{2}\\\\p=9$

7 0

3 years ago

Find volume of the foam

Roman55 [17]

Answer:

35 cubic feet

Step-by-step explanation:

127 137

If you divide the foam into 2 rectangular prisms, you will get a rectangular prism with dimensions of 1 * 2 * 7, and another prism with dimensions of 1 * 3 * 7. You find the separate volumes of each, and get 14 ft^3, and 21 ft^3. You add these together to get 35 ft^3

8 0

2 years ago

9(k+12)+4k2 when k= 3 the 2 is small

Advocard [28]

Answer:

the answer is 4k^2+9k+108

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the product of the complex number and it's conjugate. <br><br> 9-5i

Dennis_Churaev [7]

Conjugate of 9-5i is 9+5i
product of those two: (9-5i)*(9+5i) = $9^{2} - (5i)^{2} =81-25* i^{2} =81-25*(-1)=81+25=106$

3 0

3 years ago

a test consists of 10 true false questions to pass a test a student must answer at least six questions correctly if a student gu

Delicious77 [7]

Answer:

$P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)$

And using the probability mass function we got:

$P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205$

$P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117$

$P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439$

$P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098$

$P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977$

And adding the values we got:

$P(X\geq 6) = 0.377$

The best answer would be:

D. 0.377

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

$P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)$

And using the probability mass function we got:

$P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205$

$P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117$

$P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439$

$P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098$

$P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977$

And adding the values we got:

$P(X\geq 6) = 0.377$

The best answer would be:

D. 0.377

8 0

3 years ago