Please help, I can’t do this

Mathematics

2 answers:

Cloud [144]3 years ago

6 0

Answer: C

Step-by-step explanation:

$-x-3 < 13+3x\\\\\Longleftrightarrow\ -x-3x-3 < 13\\\\this \ step \ is \ missing\ -4x-3 < 13\\\\\Longleftrightarrow\ -4x < 13 + 3\\\\\Longleftrightarrow\ -4x < 16\\\\\Longleftrightarrow\ 4x > -16\\\\\Longleftrightarrow\ x > -4\\\\Answer\ C$

Vladimir79 [104]3 years ago

5 0

Answer:

Choice 3. -4x-3<13

Step-by-step explanation:

First, you will use process of elimination and cross out any obvious wrong answers. You can see that the symbol would not be flipped yet so the "<" would be pointing to less than. That eliminates choice 1 and 4. Now, You can observe the 3rd step and see that -4x<16, to get that, you would need a "-4x" in the equation. Number 2 is 2x so that can't be right. Therefore, the answer is choice 3. This simple process of elimination and looking for clues will help you greatly in multiple choice problems instead of solving it the hard way.

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Question Help Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a

koban [17]

Answer:

a)3.438% of the light bulbs will last more than 6262 hours.

b)11.31% of the light bulbs will last 5252 hours or less.

c) 23.655% of the light bulbs are going to last between 5858 and 6262 hours.

d) 0.12% of the light bulbs will last 4646 hours or less.

Step-by-step explanation:

Normally distributed problems can be solved by the z-score formula:

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

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

After we find the value of Z, we look into the z-score table and find the equivalent p-value of this score. This is the probability that a score will be LOWER than the value of X.

In this problem, we have that:

The lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a standard deviation of 333.3 hours.

So $\mu = 5656, \sigma = 333.3$

(a) What proportion of light bulbs will last more than 6262 hours?

The pvalue of the z-score of $X = 6262$ is the proportion of light bulbs that will last less than 6262. Subtracting 100% by this value, we find the proportion of light bulbs that will last more than 6262 hours.