1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlad [161]
3 years ago
8

What is (1.7x10^4)x(8.5x10^-2) in standard form

Mathematics
2 answers:
Vladimir79 [104]3 years ago
8 0

Answer:

1.445 × 10³ hope it helped goodluck!

Temka [501]3 years ago
4 0

Answer:

1.445 × 10³

Step-by-step explanation:

Standard form is a way of writing a small number or a large number easily.

We should give the final answer in standard form.

1) (1.7 × 10⁴) × (8.5 × 10⁻²)

We enter this directly into the calculator to obtain a solution.

= 1445

We write this in standard form we have :

1.445 × 10³

You might be interested in
A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat
zmey [24]

Answer:

a) 0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b) 0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 200, \sigma = 50, n = 100, s = \frac{50}{\sqrt{100}} = 5

a. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?

This is the pvalue of Z when X = 200 + 5 = 205 subtracted by the pvalue of Z when X = 200 - 5 = 195.

Due to the Central Limit Theorem, Z is:

Z = \frac{X - \mu}{s}

X = 205

Z = \frac{X - \mu}{s}

Z = \frac{205 - 200}{5}

Z = 1

Z = 1 has a pvalue of 0.8413.

X = 195

Z = \frac{X - \mu}{s}

Z = \frac{195 - 200}{5}

Z = -1

Z = -1 has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6426

0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?

This is the pvalue of Z when X = 210 subtracted by the pvalue of Z when X = 190.

X = 210

Z = \frac{X - \mu}{s}

Z = \frac{210 - 200}{5}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 195

Z = \frac{X - \mu}{s}

Z = \frac{190 - 200}{5}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

7 0
3 years ago
-5=×÷-10<br><img src="https://tex.z-dn.net/?f=%20-%205%20%3D%20%20%5Cfrac%7B%20%5Ctimes%20%20%7D%7B%20-%2010%7D%20" id="TexFormu
Genrish500 [490]

Answer:

50

Step-by-step explanation:

-5(-10) = x/-10 (-10)

50 = x

4 0
4 years ago
A pipe s leaking at 1.5 cups per day how many gallons per week is the pipe leaking
kkurt [141]
1.77 so i wish u good lock
8 0
3 years ago
PLEASE HELP 35 POINTS MATH
ICE Princess25 [194]

Answer:

31

Step-by-step explanation:

-4+16+19=31

5 0
1 year ago
13x = 15x - 8 <br><br> What is the value of X?
maw [93]

Answer:x equals 4

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2
    7·1 answer
  • I need help with his math maze please
    11·1 answer
  • Find the rate of markup if a book cost the retailer 17.50 and sells for $24.95. Round the the nearest tenth if needed
    6·1 answer
  • YES PLS HELP WITH MY GEOMETRY
    7·1 answer
  • 32t^2-18u^2 what is it?
    8·1 answer
  • What is the square root of 529
    11·1 answer
  • For all values of x f(x)
    8·1 answer
  • .....................
    10·1 answer
  • Which is the best deal of these three offers?<br> 2/$3.33<br> 3/$4<br> 4/$5<br> Please explain...
    14·1 answer
  • If w = 7 feet, x = 6 feet, y = 13 feet, and z = 8 feet, what is the area of the object?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!