12w^3÷3w^4 what is the awser

Zolol [24]

Answer:

-1/7

Step-by-step explanation:

First you need to understand negative exponents. Baisically it means 1/the number to the positive power. For this problem, it's

1/(-7)^1

-7^1=-7

(-7)^-1=-1/7

3 0

3 years ago

Read 2 more answers

Solve y =-2x y = 3x + 5 by using substitution method

PtichkaEL [24]

Answer:

y = -2x

y = 3x + 5

<=> 3x + 5 = -2x

y = -2x

<=> 5x = -5

y = -2x

<=> x = -1

y = -2x

<=> x = -1

y = (-2)(-1) = 2

so (x; y) = (-1; 2)

5 0

3 years ago

A distribution of scores for a test of life stressors has a mean of µ = 125 and standard deviation of σ = 15. The researcher cal

laila [671]

Answer:

The mean and standard deviation for the z-scores in this distribution are 0 and 1 respectively.

Step-by-step explanation:

Let the random variable X follow a Normal distribution with mean μ and standard deviation σ.

The z-scores are standardized form of the raw scores X. It is computed by subtracting the mean (μ) from the raw score x and dividing the result by the standard deviation (σ).

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

These z-scores also follow a normal distribution.

The mean is:

$E(z)=E[\frac{x-\mu}{\sigma} ]=\frac{1}{\sigma}\times [E(x)-\mu] =\frac{1}{\sigma}\times [\mu-\mu]=0$

The standard deviation is:

$Var(z)=Var[\frac{x-\mu}{\sigma} ]=\frac{1}{\sigma^{2}}\times [Var(x)-Var(\mu)] =\frac{\sigma^{2}-0}{\sigma^{2}}=1\\SD(z)=\sqrt{Var(z)}=1$

Thus, the mean and standard deviation for the z-scores in this distribution are 0 and 1 respectively.

8 0

3 years ago

five dvds are packaged in plastic wrap. five packages are packed in a box. five boxes are packed in a crate. how many dvds are p

Gnesinka [82]

The question is an illustration of proportion and exponents

The number of dvd is one crate is: $\mathbf{5^3\ dvds}$

From the question, the given parameters are:

$\mathbf{5\ dvd = 1\ wrap}$ ---- 5 dvds in 1 package

$\mathbf{5\ package = 1\ box}$ --- 5 packages in 1 box

$\mathbf{5\ boxes = 1\ crate}$ --- 5 boxes in 1 crate

The number of dvds in 1 crate is calculated as follows:

$\mathbf{5\ boxes = 1\ crate}$

Substitute 5 packages for 1 box in the above equation

$\mathbf{5 \times 5\ packages = 1\ crate}$

Substitute 5 dvds for 1 package in the above equation

$\mathbf{5 \times 5 \times 5\ dvd= 1\ crate}$

Apply law of indices

$\mathbf{5^{1 + 1 + 1}\ dvd= 1\ crate}$

Express properly as:

$\mathbf{5^3\ dvd= 1\ crate}$

Rewrite as:

$\mathbf{1\ crate = 5^3\ dvd}$

Hence, the number of dvd is one crate is: $\mathbf{5^3\ dvds}$

Read more about proportion and exponents

brainly.com/question/12787584

3 0

3 years ago

Mrs. Wilbur can grade a set of 32 tests in 1 hour. How many tests can she grade in 45 minutes?

galina1969 [7]

Answer:

24 tests

Step-by-step explanation:

Since 32 equals one hour and one hour is the total, we can see that 15 minutes equal 1/4, or 25%, 30 minutes equal 2/4, or 50%, and 45 minutes equal 3/4, or 75%. So, we can divide 32 by 4 to find out 1/4, or 25%, which equals 8. You can then multiply 8 by the number of fourths in 75% or 45 minutes, which is 3. 8 x 3 equals 24, so Mrs. Wilbur can grade 24 tests in 45 minutes.

7 0

3 years ago

12w^3÷3w^4 what is the awser ​

12w^3÷3w^4 what is the awser