Answer: x=−5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−4−7x=31
−4+−7x=31
−7x−4=31
Step 2: Add 4 to both sides.
−7x−4+4=31+4
−7x=35
Step 3: Divide both sides by -7.
−7x
−7
=
35
−7
x=−5
Answer:
LCL = 59.26 to two decimal places
Step-by-step explanation:
Here, we want to estimate the LCL of the population mean with 90% confidence
We proceed as follows;
Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15
Mathematically;
LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81
LCL = 62- (24.675)/9 = 59.2583
LCL = 59.26 to two decimal places
Answer:
Ruler: £0.90
Pencil: £0.60
Step-by-step explanation:
Ruler = x
Pencil = y
2x + y = 2.4
5x + y = 5.1
3x = 2.7
x = 0.9
y = 0.6
Answer:
The answer to your question is: y = -8/3 x - 11
Step-by-step explanation:
A (-6, 5)
B (-3, -3)
Process
1.- Find the slope of the line
Formula
Substitution
Simplifying
2.- Find the equation of the line
Formula
( y - y1) = m(x - x1)
Substitution
( y + 3) = -8/3 (x + 3)
Simplifying
y + 3 = -8/3 x - 8
y = -8/3 x - 8 - 3
y = -8/3 x - 11
Answer:
1/2 (1 half)
Step-by-step explanation:
The number of different sandwiches is calculated multiplying all of the possibilities for each material used:
rye or white bread: 2 options
ham or turkey: 2 options
cheese or no cheese: 2 options
So the number of different sandwiches that can be made is 2*2*2 = 8.
From these 8 different sandwiches, 4 have cheese and 4 have no cheese, as the staff made a equal number of each type of sandwich.
So, if from 8 different type of sandwiches, 4 have cheese, the chances of Mary getting a sandwich with cheese is 4/8 = 1/2 (1 half).
