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2 years ago

2.1x10 to the -3 power x 2x10 to the second power

Mathematics

1 answer:

ad-work [718]2 years ago

5 0

Answer:

$4.2*10^{-1}$

Step-by-step explanation:

We want to simplify:

$2.1*10^{-3}\times 2*10^2$

We rewrite to get:

$2.1*2*10^2*10^{-3}\times10^2$

We now apply the laws of indices

$4.2*10^{-3+2}$

We simplify to get $4.2*10^{-1}$

We leave our final answer is scientific form.

The final answer is therefore:

$4.2*10^{-1}$

You might be interested in

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

$P(x800)$

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%

$P(x$

Therefore

$P(x800)=P(x800)$

$P(x800)=0.0015 + 0.0015$

$P(x800)=0.003$

6 0

2 years ago

Please answer math question

slavikrds [6]

Answer:

y = -4x + 9

O.R. y = 9- 4x

(both answers are equivalent, the same)

Step-by-step explanation:

1. finding gradient of perpendicular line to the equation given.

2. use the point provided in the wuestion and substitute it into the linear form of your slope-intercept form, which in my country is called the linear form, meaning straight line graph.

3. get answers by finding the y-intercept of the equation wanted.

note:

y = mx + c is how and what i use in my school as the linear form, altho every school is different and I understand that, so do check again with your teacher if it is how you do such type of questions.