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3 years ago

Factoring-16w²+50wz-21z² please help me solve

Mathematics

1 answer:

KIM [24]3 years ago

6 0

$-16w^2+50wz-21z^2=-(16w^2-50wz+21z^2)=\\\\=-(16w^2-8wz-42wz-21z^2)=\\\\-[8w(2w-z)-21z(2w-z)]=-(2w-z)(8w-21z)$

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viva [34]

I believe the answer is d

7 0

3 years ago

Final exam scores are normally distributed with a mean of 74 and a standard deviation of 6. Approximately, what percentage of fi

notka56 [123]

Answer:

81.86%

Step-by-step explanation:

We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.

First of all we will find z-score using z-score formula.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{68-74}{6}$

$z=\frac{-6}{6}=-1$

Now let us find z-score for 86.

$z=\frac{86-74}{6}$

$z=\frac{12}{6}=2$

Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.

Using normal distribution table we will get,

$P(-1$

$P(2>Z)=.97725$

We will use formula $P(a$ to find the probability to find that a normal variable lies between two values.

Upon substituting our given values in above formula we will get,

$P(-1$

Upon converting 0.81859 to percentage we will get

$0.81859*100=81.859\approx 81.86$

Therefore, 81.86% of final exam score will be between 68 and 86.

3 0

3 years ago

100x-200>50x-75 solve for x

Alecsey [184]

Move 50x to the opposite sude so 50x-200>-75
move 200 over so 50x> 125
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7 0

3 years ago

Which shows the correct solution of the equation 1/2a+2/3b=50, when b=30?

Pani-rosa [81]

Answer:

Step-by-step explanation:

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2 years ago

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julia-pushkina [17]

Answer: x=15

Step-by-step explanation:Step 1: Cross-multiply.

(5)*(12)=x*(4)

60=4x

Step 2: Flip the equation.

4x=60

Step 3: Divide both sides by 4.

x=15

Answer:

x=15

4 0

3 years ago