1.

New packaging for fruit snacks contains 10% less weight than the original packaging. If the new package costs 15% more than the

xz_007 [3.2K]

Answer:

5/18

Step-by-step explanation:

Let's say the original packaging was 1 lb of packaging for $1.

The cost was $1/lb.

Then the weight went down by 10% and the price went up by 15%.

Now 0.9 lb of packaging cost $1.15.

The new unit cost is $1.15/(0.9 lb)

The difference is

$1.15/(0.9 lb) - $1/lb =

= $1.15/(0.9 lb) - $0.9/(0.9 lb)

= $0.25/(0.9 lb)

=$25/(90 lb) = $5/(18 lb)

The price went up by 5/18.

8 0

3 years ago

Find the product of 5x2y4 and -3x4y8

sesenic [268]

-15x^6y^12
the ^ are for exponents
x^6 equals x to the sixth power
am I making sense?

6 0

3 years ago

An cylindrical oatmeal container has a diameter of 5 inches and a volume of 239.425 in³. What measurement is closest to the late

mash [69]

Answer:

The answer is 15.24in.2

Step-by-step explanation:

I did the math and multiplied random numbers between 15 and 15.50 and eventually I got 239.425 by multiplying 15.24 with 3.14 and 2. The correct answer is actually 15.25 but on the test I guess they rounded it. Plz give brainliest.

8 0

3 years ago

All 423 Wisconsin public schools were all given a rating by the Wisconsin Department ofPublic Instruction based on several varia

Blizzard [7]

Answer:

$z = \frac{\bar X -\mu}{\sigma_{\bar X}}= \frac{70.9-71.5}{0.77}=-0.779$

From this result we can conclude that the value of 70.9 is 0.78 deviation below the true mean of 71.5 and that can be considered as unusual. If we conduct a hypothesis test or a confidence interval we will see that we have enough evidence to conclude that the true mean is not significantly different from 71.5.

Step-by-step explanation:

For this case from all the population we know that the population mean and deviation are:

$\mu = 71.5,\sigma = 4.87$

And we take a random sample of size n =40 and we got a sample mean calculated with the following formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}= \frac{\sum_{i=1}^{40} X_i}{40}=70.9$

And we want to test if this value is unusually low.

Since the sample size is large n>30 we can use the central limit theorem who says that the distribution for the sample mean is given by:

$\bar X \sim N (\mu , \frac{\sigma}{\sqrt{n}})$

And on this case if we replace the values that we have we got:

$\bar X \sim N (\mu_{\bar X}=71.5,\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{4.87}{\sqrt{40}}=0.77)$

For this case we can calculate how many deviations above or below is our calculated value from the sample of size 40, using the z score given by:

$z = \frac{\bar X -\mu}{\sigma_{\bar X}}= \frac{70.9-71.5}{0.77}=-0.779$

From this result we can conclude that the value of 70.9 is 0.78 deviation below the true mean of 71.5 and that can be considered as unusual. If we conduct a hypothesis test or a confidence interval we will see that we have enough evidence to conclude that the true mean is not significantly different from 71.5.

3 0

3 years ago

Michaela has h hair ties. Michaela's sister has triple the number of hair ties that

murzikaleks [220]

9514 1404 393

Answer:

C. 3h

Step-by-step explanation:

In algebra, multiplication by a number is indicated by placing the number next to the variable, with or without a multiplication symbol.

3×h = 3·h = 3h

In plain text, the asterisk (*) is sometimes used as a multiplication symbol. Some folks will use a period (decimal point) as a multiplication symbol, but that tends to be confusing.

"Triple" means "three times", so the number of hair ties Michaela's sister has is ...

3 times h = 3h

_____

<em>Additional comment</em>

The caret (^), as in h^3, is used to signify repeated multiplication. The term h^3 means h×h×h. This is not the same as h+h+h = 3h.

The slash is used to signify division.

3/h means 3÷h.

h/3 means h÷3.

If Michaela's sister had h/3 hair ties, she would have one-third the number Michaela has. That is not the same as 3 times the number Michaela has.

4 0

3 years ago