Answer:
Notebook is $4
Thumb drive is $23
Step-by-step explanation:
Let notebooks be x and thumb drives be y
6x+7y=$185
14x+12y=$332
These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain
42x+49y=$1295
42x+36y=$996
Subtracting the third equation from the fourth
996-1295=-$299
(36-49)y=-23y
-23y=-$299
y=$299/13=$23
To get the value of x, we substitute the value of y into the first equation
6x+(7*23)=$185
6x=$185-$161
6x=$24
x=$4
Therefore, price of notebook is $4, price of thumb drive is $23
Answer:
$20
Step-by-step explanation:
Simple, if he sold 16 pretzels, and each one costs $1.25, then multiply the cost by how many:
16X1.25=20
So he got $20
I hope this helps!
Answer:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
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 scores 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 on this way:
We expect around 68.27% between the two scores provided.
Answer:
No
Step-by-step explanation:
Number of pieces of pepperoni available with Pamela = 112
Number of pieces of pepperoni used in one pizza = 29
Now, number of pepperoni left after using 29 in one pizza = 112 - 29 = 83
Now, Pamela makes second pizza, so again 29 pieces of pepperoni area used.
Now, number of pepperoni left after using 29 in one pizza = 83 - 29 = 54
Now, Pamela makes third pizza, so again 29 pieces of pepperoni area used.
Now, number of pepperoni left after using 29 in one pizza = 54 - 29 = 25
To make the third pizza, another 29 pepperoni are required but only 25 are available.
Therefore, there is not enough pepperoni for making 4 more pizza.
