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2 years ago

Work out the value of T using the formula T=3x^{2]p-2p when p= -1?

Mathematics

1 answer:

postnew [5]2 years ago

8 0

The solution of the equation when p = -1 is $T=3x^{-2}$

<h3>How to determine the value of the equation?</h3>

The equation is given as:

$T=3x^{2p}$

The value of p is -1.

So, we have:

$T=3x^{2*-1}$

Evaluate the product

$T=3x^{-2}$

Hence, the solution of the equation when p = -1 is $T=3x^{-2}$

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Find the measurement of angle 6

serg [7]

Answer:

58 degrees

Step-by-step explanation:

first find x

5x + 137 = -4x +110

add 4x to both sides

9x + 137 = 110

subtract 137 from both sides

9x = -27

divide both sides by 9

x = -3

that angle is 122

since angle 6 is supplementary to that angle they add up to 180

180 - 122 = 58

angle 6 is 58 degrees

hope this helps :)

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3 years ago

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4 years ago

5/8 ÷ 3/10 ?????????????

balu736 [363]

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4 years ago

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Make a number line and show all values of x such that x<1/3 and x>0

FromTheMoon [43]

Answer:

<-|---------------|----------------|--------------|->

0 1/3 2/3 1

Step-by-step explanation:

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3 years ago

(t-distribution) A manufacturing firm claims that the batteries used in laptop computers will last an average of 50 months. To m

statuscvo [17]

Answer:

There is an 38.21% probability that we find this lifespan for our sample average, or something even shorter.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

A manufacturing firm claims that the batteries used in laptop computers will last an average of 50 months. This means that $\mu = 50$ .

We found that the sample had a average lifespan of 47.3 months, and a standard deviation of s = 9 months. What is the probability that we find this lifespan for our sample average, or something even shorter?

We have to find the pvalue of Z when $X = 47.3$ .

We are working with a sample mean, so we use the standard deviation of the sample in the place of $\sigma$ . That is $s = 9$

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

$Z = \frac{47.3-50}{9}$

$Z = -0.3$

$Z = -0.3$ has a pvalue of 0.3821.

There is an 38.21% probability that we find this lifespan for our sample average, or something even shorter.

7 0

3 years ago