Jessica's is making $300 less than four times what she was making when she started working. Let s represent her

Help! Please? The ratio (by volume) of milk in a certain solution is 3 to 8. If the total volume of the solution is 187 cubic fe

DIA [1.3K]

We know that the total volume of the solution is 187 cubic feet.
187=3x+8x
187=11x
17=x
Now we know that the ratio 3 to 8 is 51 to 136.
Double check, (3*17)+(8*17)=187.
I'm not sure which part of the ratio is water, but knowing this information, you should be able to solve it. I believe it may be this:
The total volume of milk is 51. If the rest of the solution is water, then 187-51=136.

6 0

4 years ago

3.) mr. smith’s class sold wrapping paper for $3.50 each and mr. davis’ class sold magazines for $2.75 each. together, the class

igor_vitrenko [27]

Answer:

The number of wrapping paper sold was 32 and the number of magazines sold was 40

Step-by-step explanation:

Let

x ----> the number of wrapping paper sold

y ----> the number of magazines sold

we know that

The classes sold 72 items

so

$x+y=72$ ----> equation A

The classes earned $222 for their school

so

$3.50x+2.75y=222$ ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is (32,40)

see the attached figure

therefore

The number of wrapping paper sold was 32 and the number of magazines sold was 40

7 0

3 years ago

The pucks used by the National Hockey League for ice hockey must weigh between and ounces. Suppose the weights of pucks produced

Dahasolnce [82]

Answer:

$P(5.5$

And we can find this probability using the normal standard distribution or excel and we got:

$P(-2.769$

Step-by-step explanation:

For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places. "

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 weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(5.86,0.13)$

Where $\mu=5.86$ and $\sigma=0.13$

We are interested on this probability

$P(5.5$

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

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

If we apply this formula to our probability we got this:

$P(5.5$

And we can find this probability using the normal standard distribution or excel and we got:

$P(-2.769$

4 0

3 years ago

The approximate cube of 9.8 is?

lianna [129]

Answer:

9.8 Cubed

9.8 cubed, (9.8)3, is the number you get when multiplying 9.8 times 9.8 times 9.8.

It can also be looked at as exponentiation involving base 9.8 and exponent 3.

The term is usually pronounced 3rd power of 9.8 or 9.8 to the third power.

The cube of 9.8 is an imperfect cube because 941.192 is the product of the three equal numbers 9.8 which contain decimals.

It can be written as 9.8 × 9.8 × 9.8 or in exponential form.

Read on to learn everything about the number (9.8)³.

Number: 9.8

Number Cubed: 941.192

Step-by-step explanation:

hope this helps...

have a nice weekend...

ヽ(ヅ)ノ

4 0

3 years ago

Express the ratio 25 to 5cm in its lowest terms

bagirrra123 [75]

Answer:

5:1 cm

Step-by-step explanation:

Let's look at the ratio in fraction form, since ratios are easier to think about in this mathematical way:

$25:5=\frac{25}{5}$

Now we have a fraction which is easier to work with. We can look for a common factor of 25 and 5 and then factor it out to find the lowest terms of our ratio and the simplified version of the fraction. One common factor of 25 and 5 that I can think of is 5 itself. So, let's divide both sides by 5.

$\frac{25}{5}$ ÷ $5\\$ = $\frac{5}{1}$

Does that make sense? 25 divided by 5 is 5, and 5 divided by 5 is 1. So the simplified version of the fraction is $\frac{5}{1}$ , and the lowest terms of the ratio 25:5 cm is 5:1 cm.

Hopefully that makes sense! If you need more help or any of that was confusing or difficult to understand, let me know. :)

7 0

2 years ago

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