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4 years ago

One bottle contains 500 milliliters of juice.

2 answers:

8 0

There are 1000 milliliters in 1 liter. This makes the ratio 1000 mL to 1 L.

If there are 500 milliliters of juice in one bottle, you can figure out how many liters are in one bottle of juice.

500 milliliters is $\frac{1}{2}$ of a liter, since two times 500 is 1000 (equivalent to one liter).

If there are 24 bottles of juice and one half liter in each of them:

$\frac{24}{1}$ x $\frac{1}{2}$ = $\frac{24}{2}$ .

24 divided by 2 is twelve.

24 bottles of juice is 12 liters.

Wewaii [24]4 years ago

3 0

I found there is .5 liters in 500 milliliters so .5 times 24 is 12 liters

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1. The sum of two consecutive integers is at least 23. What is the smallest value that will make the statement true?

Volgvan

Answer:

1- 11+ 12 = 23

2- -7 + -6 = -13

7 0

3 years ago

Read 2 more answers

The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x

Semenov [28]

Answer:

Option C.The decrease in the value of the motorcycle, which is 9%

Step-by-step explanation:

we have a exponential function of the form

$f(x)= ab^x$

where

a is the initial value

b represents growth or decay factor

If b >1 then it is an exponential growth

if 0<b<1 then it is an exponential decay

In this problem

a=$19,000

b=0.91 -----> it is exponential decay factor

Find the rate of decrease r

b=(1-r)

substitute

0.91=1-r

r=1-0.91=0.09

Convert to percentage

0.09*100=9%

therefore

0.91 represent the decrease in the value of the motorcycle, which is 9%

7 0

3 years ago

Read 2 more answers

Is the function a polynomial function? f(x)=4x-5x^2?

scoundrel [369]

Www.mathcentre.ac.uk/resources/uploaded/mc-ty-polynomial-2009-1.pdf<span>f(x)=4x3. − 3x. 2 + 2 is a polynomial of degree 3, as 3 is the highest power of x in the formula. This is called a cubic polynomial, or just a cubic.

</span>

7 0

3 years ago

At one point the average price of regular unleaded gasoline was $3.41 per gallon. Assume that the standard deviation price per

Aleonysh [2.5K]

Answer:

a) $1-\frac{1}{k^2} =1- \frac{1}{2^2}= 1-0.25 = 0.75$

So we expected about 75% within two deviations from the mean

b) $1-\frac{1}{k^2} =1- \frac{1}{1.5^2}= 1-0.4444 = 0.556$

So we expected about 55.6% within 1.5 deviations from the mean

And the limits are:

$Lower = 3.41 -1.5*0.09 = 3.275$

$Upper = 3.41 +1.5*0.09 = 3.545$

c) We can calculate how many deviations we are within the mean with the limits with this formula:

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

And using the lower limit we got:

$z = \frac{3.05-3.41}{0.09}=-4$

And with the upper limit we got:

$z = \frac{3.77-3.41}{0.09}=4$

So then the value of k =4 and the percentage is given by:

$1-\frac{1}{k^2} =1- \frac{1}{4^2}= 1-0.0625 = 0.9375$

Step-by-step explanation:

Previous concepts and Data given

$\mu =3.41$ reprsent the population mean

$\sigma=0.09$ represent the population standard deviation

The Chebyshev's Theorem states that for any dataset

• We have at least 75% of all the data within two deviations from the mean.

• We have at least 88.9% of all the data within three deviations from the mean.

• We have at least 93.8% of all the data within four deviations from the mean.

Or in general words "For any set of data (either population or sample) and for any constant k greater than 1, the proportion of the data that must lie within k standard deviations on either side of the mean is at least: $1-\frac{1}{k^2}$

Part a

For this case we can find the percentage required replaincg k =2 and we got:

$1-\frac{1}{k^2} =1- \frac{1}{2^2}= 1-0.25 = 0.75$

So we expected about 75% within two deviations from the mean

Part b

For this case we can find the percentage required replaincg k =2 and we got:

$1-\frac{1}{k^2} =1- \frac{1}{1.5^2}= 1-0.4444 = 0.556$

So we expected about 55.6% within 1.5 deviations from the mean

And the limits are:

$Lower = 3.41 -1.5*0.09 = 3.275$

$Upper = 3.41 +1.5*0.09 = 3.545$

Part c

We can calculate how many deviations we are within the mean with the limits with this formula:

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

And using the lower limit we got:

$z = \frac{3.05-3.41}{0.09}=-4$

And with the upper limit we got:

$z = \frac{3.77-3.41}{0.09}=4$

So then the value of k =4 and the percentage is given by:

$1-\frac{1}{k^2} =1- \frac{1}{4^2}= 1-0.0625 = 0.9375$

3 0

3 years ago

Factor completely<br> n^4 +8n^2 + 15 =

nata0808 [166]

Answer:

The factor form is $n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)$

Step-by-step explanation:

When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.

Now the expression that is given here is:

$n^4 +8n^2 + 15$