Answer:
3a. yes
3b. y= 75x
3c. 600 mi
3d. 10 inches
Step-by-step explanation:
3a: if you divide the y by the x, you'd get 75 everytime, meaning it's proportional.
3b: y would equal the amount of inches multiplied by 75, so y=75x
3c: you can use the equation and substitute the x for 8, so y=75(8), giving you 600 miles
3d: you can also use the equation in reverse, if the actual miles is 750, then this is your y, so it would look like 750=75x and to solve you'd divide, 750/75, giving you 10 inches
Answer:
(x+5)²(x²+5)
Step-by-step explanation:
Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25
On factorising we have:
x²+5x+5x+25
= x(x+5) +5(x+5
= (x+5)(x+5)
= (x+5)²
The LCM can be calculated as thus
| x²+5, (x+5)²
x+5| x²+5, (x+5)
x+5| x²+5, 1
x²+5| 1, 1
The factors of both equation are x+5 × x+5 × x²+5
The LCM will be the product of the three functions i.e
(x+5)²(x²+5)
This hives the required expression.
Answer:
Assuming that this data is used to conduct a hypothesis test to test the manufacturers' claim, the test statistic we an use is:
the paired sample t-test.
Step-by-step explanation:
a) Data and Analysis:
Subject Before After
1 225 215
2 245 240
3 188 188
4 210 212
5 282 175
6 275 260
7 230 225
8 195 200
9 190 185
b) The paired sample t-test is used to compare the means from the same dataset but at different times (say, one month apart). It supports the comparison of sample data before and after the data subjects have taken the dietary supplement. When the t-value is high, it is an evidence that the null hypothesis should be rejected. The higher value of the t-test, therefore, indicates that there is a large difference between the two sample sets. On the other hand, a small t-value shows similarity between the two sample sets.
There could be two unit rates for this problem. We find the unit rate by dividing how much something gets for however much it is. For example:
If we wanted to find out how many pounds of dog food each dog gets, we divide the pounds of dog food all of them get by how many dogs there are:
128/16 = 8
So each dog receives 8 pounds of dog food. This is one unit rate.
Another unit rate would be how many dogs does one pound of dog food feed. We calculate this by dividing the amount of dogs by the pounds of dog food they received:
16/128 = 1/8
So one pound of dog food feeds 1/8 of a dog, this is the other unit rate.
Answer:
** +2x
Step-by-step explanation:
All the other ones can be it any thing will have difference but how can you do it?
* -sign mutipulcation
2x+* can be different.
O c, OA is N X+2 and more is not a equation. * - can be times really any number.
