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Mathematics

2 answers:

melamori03 [73]3 years ago

5 0

Answer:

The best answer is option C.

Step-by-step explanation:

Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...

frutty [35]3 years ago

3 0

Answer:

Step-by-step explanation:

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If 2/3p+6=7/6p what is the value of p?

ehidna [41]

The first thing to do is to clear the equation of fractions by multiplying by its LCM, which is 6 in this case. When you do that, you will get the equation
4p + 36 = 7p. Much easier to deal with, right? Now move the 4p over by subrtracting it: 36 = 3p, and p = 12

3 0

3 years ago

If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is

V125BC [204]

Answer:

The probability is $P(\= X < 40.4) = 0.84134$

Step-by-step explanation:

From the question we are told that

The mean is $\mu =40 \ \Omega$

The standard deviation is $\sigma = 2 \ \Omega$

The sample size is n = 25

The combined resistance is $\sum x_i = 1010 \ \Omega$

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i }{n}$

=> $\= x = \frac{1010 }{25}$

=> $\= x = 40.4 \ \Omega$

Generally the standard error of the mean is mathematically represented as

$\sigma_{x} = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_{x} = \frac{ 2 }{\sqrt{25} }$

=> $\sigma_{x} = 0.4$

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

$P(\= X < 40.4) = P( \frac{\= X - \mu }{\sigma_{x }} < \frac{ 40.4 - 40 }{0.4} )$