If g(x) = 6x - 36, which statement is true?

10 POINTS Which expressions are equal to 6^3 x 2^6/2^3?

Kaylis [27]

When dividing, exponential powers are subtracted. When multiplying, power are added the base remains the same if the two bases are the same number. If they are different, the bases are multiplied and the same power is simply kept. With this in mind, let us solve this question!

6^3 × 2^6 / 2^3 ----- Multiplication or division can be done first. I do division because it's easier that way. 6-3 = 3

6^3 * 2^3 ------ Multiply bases and keep the power.

B.) 12^3

Hope this helps!

3 0

3 years ago

two high school students took equivalent language tests, one in German and one in French. The student taking the German test, fo

dedylja [7]

Answer:

The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.

Step-by-step explanation:

Z-score

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

German test

Mean was 66 and the standard deviation was 8, scored an 82.

So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{82 - 66}{8}$

$Z = 2$

French test:

Mean was 27 and the standard deviation was 5, scored a 35.

So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{35 - 27}{5}$

$Z = 1.6$

The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.

5 0

3 years ago

A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to s

galina1969 [7]

70 dollars

Step-by-step explanation:

The average of the other months is 57.5, giving us 2.5 until 60. 2.5 times 4 is equal to 10. 60 plus 10 is equal to 70

7 0

3 years ago

5÷6 is 5/6. what is 1/6 of 5

mel-nik [20]

$\dfrac{1}{6} \text{ of } 5$

"of" is written as "x" in number statement:
$= \dfrac{1}{6} \times 5$

Write 5 as fraction:
$= \dfrac{1}{6} \times \dfrac{5}{1}$

Multiply:
$= \dfrac{5}{6}$

8 0

3 years ago

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Anna [14]

Answer:

56

Step-by-step explanation:

We know that radius of a circle is perpendicular to the tangent of the circle at the point of contact.

$\therefore x\degree +90\degree +90\degree+124\degree =360\degree\\\therefore x\degree +304\degree =360\degree\\\therefore x\degree =360\degree-304\degree\\\huge\purple{\boxed{\therefore x\degree =56\degree}}$

4 0

3 years ago