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4 years ago

17+(-4)-4/5j-2/5j+6

Mathematics

1 answer:

Snowcat [4.5K]4 years ago

7 0

Answer:

19 - (6/5)j

Step-by-step explanation:

In this expression we have addition, subtraction and multiplication.

According to order of operations rules, mult. and div. must be carried out before add. or subt.

Therefore, we begin with 17+(-4), which becomes 17 - 4, or 13.

Next we see -4/5j, by which I assume you mean -4/5 * j.

Summarizing what we have so far:

13 - (4/5)j - 2/5j + 6

Combining the j terms, we get

13 - (6/5)j + 6, which collapses to 19 - (6/5)j.

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3 years ago

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

yawa3891 [41]

Answer:

The probability is 0.003

Step-by-step explanation:

We know that the average $\mu$ is:

$\mu=500$

The standard deviation $\sigma$ is:

$\sigma=100$

The Z-score is:

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

We seek to find

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For P(x>800) The Z-score is:

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

$Z=\frac{800-500}{100}$

$Z=3$

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>800)=0.15\%$

For P(x<200) The Z-score is:

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

$Z=\frac{200-500}{100}$

$Z=-3$

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

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$P(x800)=0.003$

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3 years ago

17+(-4)-4/5j-2/5j+6​

17+(-4)-4/5j-2/5j+6