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3 years ago

Multiply and divide in scientific notation

Mathematics

1 answer:

sashaice [31]3 years ago

4 0

Answer:

To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents. In either case, the answer must be converted to scientific notation.

Step-by-step explanation:

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Fwam answered 149 questions correctly on his multiple choice science final that had

aniked [119]

Answer:

he answered 74.5% of questions correctly

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2 years ago

a survey amony freshman at a certain university revealed that the number of hours spent studying the week before final exams was

Marat540 [252]

Answer:

Probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

Step-by-step explanation:

We are given that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15.

A sample of 36 students was selected.

Let $\bar X$ = sample average time spent studying

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = population mean hours spent studying = 25 hours

$\sigma$ = standard deviation = 15 hours

n = sample of students = 36

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the average time spent studying for the sample was between 29 and 30 hours studying is given by = P(29 hours < $\bar X$ < 30 hours)

P(29 hours < $\bar X$ < 30 hours) = P( $\bar X$ < 30 hours) - P( $\bar X$ $\leq$ 29 hours)

P( $\bar X$ < 30 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ < $\frac{ 30-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z < 2) = 0.97725

P( $\bar X$ $\leq$ 29 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ $\leq$ $\frac{ 29-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z $\leq$ 1.60) = 0.94520

So, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2 and x = 1.60 in the z table which has an area of 0.97725 and 0.94520 respectively.

Therefore, P(29 hours < $\bar X$ < 30 hours) = 0.97725 - 0.94520 = 0.0321

Hence, the probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

7 0

3 years ago

Why don't negative values of h and t make sense?

Anni [7]

It really depends what you're understanding or how the problem is set up.

5 0

3 years ago

Pls simplify this for me

strojnjashka [21]

Answer:

I think the answer is c but I didn’t simplify bc I don’t know what you mean

Step-by-step explanation:

4 0

3 years ago

Suzi starts her hike at 200 feet below sea level. When she reaches the end of the hike, she is still below sea level at −163 fee

Phantasy [73]

Answer:

Suzi's elevation in the hike is 37 feet.

Step-by-step explanation:

We are given the following in the question:

Position of Suzi in the starting of hike = 200 feet below sea level

= -200 feet

The negative sign shows below sea level.

Position of Suzi in the end of hike = -163 feet

Change in elevation from the beginning of Suzi's hike to the end of the hike

= Position of Suzi in the end of hike - Position of Suzi in the starting of hike

$=-163 - (-200)\\=-163 + 200\\=37\text{ feet}$

Thus, Suzi's elevation in the hike is 37 feet.

6 0

3 years ago

Read 2 more answers

Multiply and divide in scientific notation​

Multiply and divide in scientific notation