Answer:
-83
Step-by-step explanation:
x+(x+1)=number
x+(x+1)=-165
2x+1=-165
-1 -1
2x=-166
/2 /2
x=-83
We can check our work by adding -83+-82=-165 because -83 would be the smaller number.
-83.
Answer:
Since she read half of the book, it's 50%+ the 40% she read yesterday, that make 90%.So she is left with 10%
Answer:
See below.
Step-by-step explanation:
For each day number, Y means working, and N means off
Day
1 Y
2 Y
3 Y
4 N
5 N
6 N
7 N
8 Y
9 Y
10 Y
11 Y
12 N
13 N
14 N
15 Y
16 Y
17 Y
18 N
19 N
20 N
21 N
22 Y
23 Y
24 Y
25 Y
26 N
27 N
28 N
29 Y
30 Y
31 Y
32 N
33 N
34 N
35 N
36 Y
37 Y
38 Y
39 Y
40 N
41 N
42 N
43 Y
44 Y
45 Y
46 N
a. Today is day 1. 30 days from today is day 31.
She works on day 31, so she does work 30 days from today.
b. 45 days from today is day 46. She is off on day 46, so she will be off 45 days from today.
Okay, so a general rule for finding perpendicular lines in the form of y = mx + b is y = (-1/m) + b.
First, let's ignore b (-7) because we're going to find that later.
A perpendicular line to y = 4x + b is y = -1/4x + b.
Alright, so now let's plug in the values. They are in the form of (x,y), so let's plug them in accordingly.
3 = -1/4(4) + b
3 = -1 + b
b = 4
y = -1/4x + 4
So a line perpendicular to y = 4x - 7 is y = -1/4x + 4.
Answer:
0.0035289
Step-by-step explanation:
From the question;
mean annual salary = $63,500
n = sample size = 31
Standard deviation = $6,200
Firstly, we calculate the z-score of $60,500
Mathematically;
z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941
So we want to find the probability that P(z < -2.6941)
We can get this from the standard normal table
P( z < -2.6941) = 0.0035289
