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3 years ago

What is the value of q in the equation? A) -10/7 B) 10/7 C)6 D) 10

Mathematics

2 answers:

cricket20 [7]3 years ago

6 0

q=10

Remove the radical by raising each side to the index of the radical

Hope this helps!

Galina-37 [17]3 years ago

3 0

Answer:

D) 10

Step-by-step explanation:

In order to solve for X in this equation you first have to elevate to the square both sides of the equation:

$(\sqrt{4q-2})^{2} =(\sqrt{3q+8}) ^{2}$

Now you just have to solve the equation for X.

$\\4q-2=3q+8\\4q-3q=8+2\\q=10$

Now we know that the value of q=10.

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7 ten thousands equals how many thousands

algol [13]

7 10 thousands is equal to 70 thousand

6 0

3 years ago

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Scores on an exam follow an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. A

Crazy boy [7]

Answer:

b) 95%

Step-by-step explanation:

We have been given that scores on an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. We are asked to find the percentage of the data that is between 64.2 points and 88.6 points.

First of all, we will find z-scores of each data point as:

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

$z=\frac{64.2-76.4}{6.1}$

$z=\frac{-12.2}{6.1}$

$z=-2$

Let us find z-score corresponding to normal score 88.6.

$z=\frac{88.6-76.4}{6.1}$

$z=\frac{12.2}{6.1}$

$z=2$

To find the percentage of the data is between 64.2 points and 88.6 points, we need to find area under a normal distribution curve that lie within two standard deviation of mean.

The empirical rule of normal distribution states that approximately 95% of data points fall within two standard deviation of mean, therefore, option 'b' is the correct choice.

6 0

3 years ago

Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5

algol [13]

Remember
(x^m)(x^n)=x^(m+n)
and
if a^m=a^n, where a=a then n=m

(x^4)(x^n)=x^5
(x^4)(x^n)=x^(4+n)
x^(4+n)=x^5
therefor
4+n=5
minus 4
n=1

5 0

3 years ago

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True or false 6 + 4 + 5 = 5 + 4 + 6

vova2212 [387]

This is true. The numbers being arranged differently in this does not mean it'll not equal each other.

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