All categories

3 years ago

Simplify the expression

Mathematics

2 answers:

yan [13]3 years ago

8 0

cube root of 8 is 2

factors of 24= 2*2*2*3

cube root of 24 = 2∛3

Under cube root we have x and x⁵

so multiplying , x*x⁵ we have x⁶

∛x⁶ = x²

so we have ∛8x * ∛24x⁵ equal to 2*2*x²∛3

so answer is 4x² ∛3

option C is the correct answer

kvv77 [185]3 years ago

6 0

option C is the correct answer

You might be interested in

The described situation requires inference about a mean or means. Identify the response variable and whether the setting involve

Liono4ka [1.6K]

Answer:

Step-by-step explanation:

Hello!

The experiment was designed to proof if the physiological blind spot can be reduced with eye training.

One sample of n people was taken and the physiological blind spot was measured. After that, the people selected underwent 3 weeks of eye training and their physiological blind spot was measured again. At the end of the experiment you have two sets of data for the sample, let's call X₁: physiological blind spot of one person before taking eye training", the measurements were taken before the training will correspond to this variable, and X₂: physiological blind spot of one person after three weeks of eye training" the second measurements correspond to this variable.

In this type of situation, where only one sample is taken and both variables are measured to the same observational unit (there is a pair of observations for each person), the observations are dependant and the corresponding test is the paired samples t-test.

To analyze the information you need to create a new variable, usually symbolized as Xd, that will be the difference between X₁ and X₂.

So your response variable would be

Xd: "Difference between a physiological blind spot of one person before taking eye training and physiological blind spot of after three weeks of eye training"

Xd= X₁ - X₂

The study parameter will be the mean of the variable "difference" μd.

I hope it helps!

3 0

3 years ago

Does anyone know this?

Veseljchak [2.6K]

Answer:

option number a -4 and -9

7 0

4 years ago

5) Two machines M1, M2 are used to manufacture resistors with a design

Basile [38]

Answer:

Since M1 has the higher probability of being in the desired range, we choose M1.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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.

Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.

So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.

For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.

M1:

Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that $\mu = 1050, \sigma = 100$