Rewrite 9^4 * 10^4 as a single power

error uses 1/3 of wet dog food for his dog Muddy,each day. how many servings will he get from 5 cans of dog food.?

oksian1 [2.3K]

15 because 3 is one serving and multiplied by 5 servings is 25

6 0

3 years ago

Alexa and her children went into a movie theater where

slega [8]

1 Pretzel and 5 Bags of Popcorn
(WORK SHOWN BELOW)

7 0

2 years ago

25 PTSS EAY PLZZ ANYONE KNOW THIS I WILL GIVE 5 RATED STAR THANKS AND PROMISE BRAINLIEST ASAPExplain how to write a function rul

Furkat [3]

Answer:

y = -1/2x +2

Step-by-step explanation:

The linear and quadratic function rules we usually study in algebra come in several forms.

For linear function rules (equations of a line), there are more than half a dozen different forms, each with its own use. A few that often come in handy are the 2-point form, the slope-intercept form, the point-slope form, and the intercept form. Here, the 2-point form can be useful, since you have several points on the line to choose from.

The 2-point form of the equation of a line is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) + y1

point (x1, y1) and point (x2, y2) can be any pair of the given points, in any order. Let's use the first two for points 1 and 2.

y = (0 -1)/(4 -2)·(x -2) +1

y = -1/2(x -2) +1 . . . . . . . . this is a suitable function rule. In this simplified form, it is in point-slope form, where -1/2 is the slope and (2, 1) is the point.

If you want to simplify this a bit, you can put it into slope-intercept form by eliminating the parentheses and combining the constant terms:

y = -1/2x +2

5 0

3 years ago

Read 2 more answers

The legs of a right triangle are 6 units and 7 units. What is the length of the hypotenuse?

UNO [17]

This requires the pythagorean theorem :
a^2 + b^2 = c^2...where a and b are the legs and c is the hypotenuse..and by the way, this can only be used on right triangles

a^2 + b^2 = c^2
6^2 + 7^2 = c^2
36 + 49 = c^2
85 = c^2...take the sqrt of both sides, eliminating the ^2
sqrt 85 = c
9.22 = c....so the hypotenuse is approximately 9.22 units (thats rounded)

5 0

3 years ago

Read 2 more answers

For a normal distribution, is it likely that a data value selected at random is more than 2 standard deviations above the mean?

makkiz [27]

Answer:

$P(X>\mu + 2\sigma)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

Using the z score formula we want this probability:

$P(Z>2)$

And using the complement rule we got:

$P(Z>2) = 1-P(Z$

And that correspond to only 0.023*100= 2.3%, so is not frequently and the most appropiate answer for this case would be:

No. This event happens only 2.5% of the time

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".

Solution to the problem

Let X the random variable that represent the variable of interst of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

We are interested on this probability

$P(X>\mu + 2\sigma)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

Using the z score formula we want this probability:

$P(Z>2)$

And using the complement rule we got:

$P(Z>2) = 1-P(Z$

And that correspond to only 0.023*100= 2.3%, so is not frequently and the most appropiate answer for this case would be:

No. This event happens only 2.5% of the time

8 0

3 years ago