All categories

3 years ago

Divide (8.6 x 108) by (3.2 x 103). Express your answer in scientific notation.

1 answer:

6 0

In doing this division, we will first divide the 8.6 by the 3.2 to get 2.6875. Thankfully, that number is already in scientific notation so we don't have to worry about changing it. Now for the rest of the problem. When the bases are the same, and they are both 10's, you subtract the exponents. $10^{8-3}$ gives us 10^5. The answer then in scientific notation is $2.6875*10^5$ .

You might be interested in

Solve for x. Your answer must be simplified. -7x > 10

andre [41]

The answer to this is x < -10/7

5 0

3 years ago

Given the following functions, find each of the values:

allsm [11]

The function is computed below based on the information. The answers will be:

1. -11

2. -1

<h3>How to compute the function?</h3>

f(x) = x²-11x+28

g(x) = x-4

(f+g)(-5) = (-5² - 11 × 5 + 28) + (-5 - 4)

= 25 - 55 + 28 - 9

= -11

(f-g)(5)

= = (5² - 11 × 5 + 28) + (5 - 4)

= 25 - 55 + 28 + 1

= -1

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

4 0

1 year ago

Sheldon picks tomatoes from his garden. He picked 5 3/10 kg, but 1.5 kg were rotten and had to be thrown away. How many kilogram

Julli [10]

I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye

4 0

3 years ago

A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

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

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

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

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

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

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

5 0

3 years ago

Samantha raises animals and trains them to appear in Hollywood movies. Currently, 23 of her penguins are appearing in a film abo

GenaCL600 [577]

Answer:

Step-by-step explanation:

23/x = 92/100

92/23=4

110/4=25

answer = 25

3 0

2 years ago