Answer:
She have <u>15 quarters</u>.
Step-by-step explanation:
Given:
Marla has $4.55 in dimes and quarters.
Now, to find the quarters she have, if she has 7 more quarters than dimes.
Let the number of dimes be 
.
And the number of quarters be 
.
As the value of dime = $0.10.
And the value of quarter = $0.25.
So, according to question:
⇒
⇒
⇒
<em>Subtracting both sides by 1.75 we get:</em>
⇒
<em>Dividing both sides by 0.35 we get:</em>
⇒
Thus, the number of dimes = 8.
And the number of quarters = = 7+8 = 15.
Therefore, she have 15 quarters.
The Bureau of Engraving and Printing (BEP) is a government agency within the United States Department of the Treasury that designs and produces a variety of security products for the United States government, most notable of which is Federal Reserve Notes (paper money) for the Federal Reserve, the nations central bank...
The unit price of each topping is $1.40. Divide $12.60 by the 3 toppings. That will give you the price of all 3 toppings together which is $4.20. Divide $4.20 by 3 and that will give you the unit price of each individual topping which is $1.40. To check your answer, multiply $1.40 by 3 which is $4.20. Then, multiply $4.20 by 3 which gives you the whole price which is $12.60
In these types of problems, the first step is to combine like terms. Like terms are terms with the same exponent (power), and the same variable (like all x's). In the above equation, we can combine -5x, 2x and -3y. Let's do it:
The next step would be to factor out the common ratio, which is not applicable here, so your answer would be
-6x + 7y. Hope this helps!
Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
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 number of gallons of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
