Answer:
-38 (You Should be Correct)
Step-by-step explanation:
-22 + (-16) is the same thing as -22-16.
Subtract -16 from -22.

We get -38.
Answer:
18 dish soaps
Step-by-step explanation:
Answer:
I honestly think it is C.
Step-by-step explanation:
Since "4 bottles of shampoo for every 3 bottles of conditioner" is (4,3), I think the 16 is (16,12) on the graph. It might be worng, might be right. Just go for C.
Answer:
The expected number of keys she will try before she opens the door is 4.5.
Step-by-step explanation:
A woman has eight keys on a key ring, one of which fits the door she wants to unlock.
Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound
and upper bound
.
Find the expected number of keys she will try before she opens the door.
The expected value of the uniform distribution is given by:

Considering
, as is the case in this exercise:

The expected number of keys she will try before she opens the door is 4.5.
Answer:
i. daily charge = £13
ii. fixed charge = £6
Step-by-step explanation:
Number of days (x) | Cost in £ (y)
1 | 19
2 | 32
3 | 45
4 | 58
5 | 71
Using the given table, we can represent this situation with an equation in slope-intercept form, y = mx + b, where,
m = slope = daily charge
b = y-intercept = fixed charge
✔️Thus, using the coordinates of any two given pairs, say (1, 19) and (2, 32):
Slope (m) = ∆y/∆x = (32 - 19)/(2 - 1) = 13/1
Slope (m) = 13
Therefore daily charge = £13
✔️To find y-intercept (b), substitute (x, y) = (1, 19) and m = 13 into y = mx + b.
Thus:
19 = (13)(1) + b
19 = 13 + b
b = 19 - 13
b = 6
Therefore, fixed charge = £6
✔️Substitute m = 13 and b = 6 into y = mx + b to represent the function given for the situation:
y = 13x + 6