Answers
Answer:
a) The basic rate of pay is 6 sterling pounds per hour.
b) The higher rate of pay is 10 sterling pounds per hour.
Step-by-step explanation:
Both segments of the curve are first order polynomials, which means that each have constant slopes.
a) The basic rate of pay is the value of the slope ([tex]r[/tex]), in sterling pounds per hour, of the line for the first 20 hours worked, that is:
[tex]r = \frac{\Delta y}{\Delta x}[/tex] (1)
Where:
[tex]\Delta x[/tex] - Change in hours worked, in hours.
[tex]\Delta y[/tex] - Change in pay, in sterling pounds.
If we know that [tex]\Delta x = 20\,h[/tex] and [tex]\Delta y = \pounds\, 120[/tex], then the basic rate is:
[tex]r = \frac{\Delta y}{\Delta x}[/tex]
[tex]r = \frac{\pounds\,120}{20\,h}[/tex]
[tex]r = 6\,\frac{\pounds}{h}[/tex]
The basic rate of pay is 6 sterling pounds per hour.
b) By using (1), we calculate the higher rate of pay below. If we know that [tex]\Delta x = 10\,h[/tex] and [tex]\Delta y = \pounds \,100[/tex], then the higher rate is:
[tex]r = \frac{\Delta y}{\Delta x}[/tex]
[tex]r = \frac{\pounds\,100}{10\,h}[/tex]
[tex]r = 10\,\frac{\pounds}{h}[/tex]
The higher rate of pay is 10 sterling pounds per hour.
Related Questions
Find P (R|Q). A. 3/11 B. 4/11 C. 7/3 D.
Answers
Ratio of the ages of three children is 2:5:1. The sum of their ages is 32 years. Find the ages of the youngest and the eldest
child.
Answers
Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively
Step-by-step explanation:
Ratio of the ages of three children is 2:5:1.
Total ratio =2+5+1=8
So that
the 1st Child's age =2/8 x 32=8 years
2nd Child's age =5/8 x 32= 20 years
3rd Child's age =1/8 x 32= 4 years
Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.
(MATH) (6) ((PHOTO))
label is ft
Answers
Answer:
6 feet
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
15 feet × 8 feet × H = 720 feet ³
120H = 720
H = 720 ÷ 120
H = 6 feet
When Linda makes potato salad, she uses 6 potatoes and 4 hard-boiled eggs.
How many eggs will she need if she uses 12 potatoes?
Answers
Answer:
8
Step-by-step explanation:
So she uses 6 potatoes and 4 hard-boiled eggs then it says "how many eggs will she need if she uses 12 potatoes" So I know that 6 doubled and turned into 12 so 4 will double and turn into 8.
Someone help me in this one now please
Answers
Answer:
I think 300 plz don't crit me if I got it wrong
Step-by-step explanation:
I’ll give points + brainalist for the correct answer
Answers
Answer:
B: $14.50
Step-by-step explanation:
8% of $6.72 is $3.74 add that to the pay, and it will be $50.46 then 15% of that is $7.57. Add that to the previous number and you get $58.03, then divide by 4 people and you get $14.50.
What is the 5280th digit in the decimal expansion of 7/17?
Answers
Answer:
im pretty sure its either 1 or 7
Step-by-step explanation:
• 1 1 Write equivalent fractions for 3 and 1. using 12 as the common denominator. 3 -1- 12 12
Answers
Answer:
6 and 8
Step-by-step explanation:
HELP!!!? PLS ASP!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
12x12 = 144 per side
144x6 sides = 864
Answer:864
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Option D.
Step-by-step explanation:
Have a fantastic Day !
have a great rest of your day
what are the lengths of sides a and b?
Answers
Answer:
[tex]a =\frac{\sqrt 3}{2}[/tex] mi
[tex]b =\frac{1}{2}[/tex] mi
Step-by-step explanation:
Given
The attached triangle
Required
Find a and b
To do this, we make use of the following trigonometry ratio
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(60) = \frac{a}{c}[/tex]
[tex]\sin(30) = \frac{b}{c}[/tex]
Where
[tex]c = 1[/tex]
So, we have:
[tex]\sin(60) = \frac{a}{c} =\frac{a}{1}[/tex]
[tex]\sin(60) = a[/tex]
[tex]a = \sin(60)[/tex]
In radical form:
[tex]\sin(60) = \frac{\sqrt 3}{2}[/tex]
Hence:
[tex]a =\frac{\sqrt 3}{2}[/tex]
[tex]\sin(30) = \frac{b}{c}[/tex]
[tex]\sin(30) = \frac{b}{1}[/tex]
[tex]\sin(30) = b[/tex]
Rewrite as:
[tex]b =\sin(30)[/tex]
In radical form:
[tex]\sin(30) = \frac{1}{2}[/tex]
Hence:
[tex]b =\frac{1}{2}[/tex]
The expression for the nth term in a sequence is 6n-3. Write the first 4 terms.
Answers
Answer:
3, 9, 15, 21
Step-by-step explanation:
6n-3
n = 1: 6(1) - 3 = 3
n = 2: 6(2) - 3 = 9
n = 3: 6(3) - 3 = 15
n = 4: 6(4) - 3 = 21
A
B
Which of the following is least accurately represented by the Venn diagram above?
A. Members of A are real numbers less than 16, and members of B are real numbers divisible
by 2.
B. Members of A are even numbers, and members of Bare odd numbers.
C. Member of A are even numbers, and members of B are multiples of 7.
D. Member of A are real numbers less than 16, ad members of Bare positive numbers.
Mark this and return
Save and Exit
Next
Answers
Answer:
my opinion is A hope it helps
Answer: B- Members of A are even numbers, and members of B are odd numbers.
Step-by-step explanation:
A rectangle has a length of 4x + 5 and a width of 8x - 4. Which expression shows the perimeter of the rectangle?
A) 4x - 1
B) 12x -2
C) 12x + 1
D) 24x + 2
Answers
Answer:
D
Step-by-step explanation:
perimeter=2(l+b)
2[(4x+5)+(8x-4)]
2(4x+8x+5-4)
2(12x+1)
24x+2
?
What is cos 0if sec 0 = 2?
V2
o 1
2
12
2
Answers
Answer:
If the secant = 2, this would be where the cosine = 1/2 = a 60° degree angle in the first quadrant and the 4th quadrant.
And the cot (60°) = 1/√3 = √3 /3
And the cot of a 60° angle in the 4th quadrant (i.e., 330°) is (- √3 /3)
Find the mean,median ,and mode of the following set of data Weight of the 7 fish that were caught (lbs) are: 12,3,7,8,9,12,10
Answers
Given:
The data values are:
12, 3, 7, 8, 9, 12, 10
To find:
The mean,median ,and mode for the given set of date.
Solution:
We have,
12, 3, 7, 8, 9, 12, 10
Arrange the values in ascending order.
3, 7, 8, 9, 10, 12, 12
Mean of the data set is:
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]\text{Mean}=\dfrac{3+7+8+9+10+12+12}{7}[/tex]
[tex]\text{Mean}=\dfrac{61}{7}[/tex]
[tex]\text{Mean}\approx 8.7143[/tex]
Number of observations is 7 which is an odd number. So, the median is:
[tex]Median=\dfrac{n+1}{2}\text{th term}[/tex]
[tex]Median=\dfrac{7+1}{2}\text{th term}[/tex]
[tex]Median=\dfrac{8}{2}\text{th term}[/tex]
[tex]Median=4\text{th term}[/tex]
The 4th term from the arranged data set is 9.
[tex]Median=9[/tex]
Here, the most frequent number is 12 because it occurs 2 times. So, the mode of the data set is 12.
Therefore, the mean of the data set is 8.7143, median is 9 and mode is 12.
PLEASE WILL NAME BRAINLIST
The table shows the length y (in inches) of a person’s hair after x months.
months x: 0 3 6
hair Length y:11.0 12.5 14.0
a. Write and graph a linear function that relates y to x .
y=
b. Interpret the slope and the y-intercept
The slope indicates that the hair length increases by what
inch per month. The y-intercept indicates that the initial hair length is what
inches.
Answers
A class has five students. What is the probability that exactly two of the students were born on a weekend?
Answers
Answer:
This is binomial.
Here n = 5
p = 2/7
mean = np = 5*2/7 = 10/7 = 1.42857
standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015
Step-by-step explanation:
Work Shown.
The probability that exactly two of the five students of the class were born on weekend is 0.2975
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
n = 5
The probability that any student was born on weekend, P(W) = (2 / 7)
and, the probability that any student was not born on weekend
P(W') = {1 - P(W)}
= {1 - (2 / 7)}
= (5 / 7).
Thus, the probability that exactly two of the five students of the class were born on weekend
= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³
= 10 x {(2 / 7)²} * {(5 / 7)³}
= 10 x (4 / 49) x (125 / 343)
= (5000 / 16807)
≈ 0.2975
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ3
19 pounds = how many
ounces
Answers
Answer:
304oz
Step-by-step explanation:
PLEASE HELP MEEE I GAVE 50 POINTSSS
Answers
Answer:
1. y = x + 9
a. yes, b. no, c. yes2. y = 4x
a. yes, b. no, c. no3. y = -1/3x
a. no, b. yes, c. no4. x = y + 4
a. no, b. no, c. yes5. x + 2y = 10
a. no, b. yes, c. noI need help ASAP!!
The Wilson family purchased a triangular corner lot in Harnett count. What is the area of the lot?
A. 1,400
B. 2,800
C. 3,200
D. 5,600
Answers
Answer:
1/2 x base x height our base being 140 and our height being 80 and the answer is 5600
Answer: d is your answer hope this helped
plz make brainly
Step-by-step explanation:
A paper company will manufacture 167 tons of paper this year. Each year, the company produces 18 more tons of paper
than in the previous year. How many total tons of paper will the company produce in the next 4 years (including this year
n = 4)?
Answers
Answer:776
Step-by-step explanation:
Helppppp plz
Times New Roman, 14px
1.5pt B I U Ꭶ A Ꭺ
Part 1: Use a sequence to represent the air loss in a bike tire.
A manufacturer of bicycle tires performs an experiment to determine the daily loss of air when the cap on
a bicycle inner tube is loose. At the end of the experiment, the company concluded that customers can
expect to lose an average of 2.8 psi (pounds per square inch) per day when the bike is not in use.
1. One bike owner fills his tires to 98 psi on the first day of August, but does not realize that the caps are
loose.
I
a) Make a table showing the expected daily psi for the tires if no air is added for a week. (3 points)
b) What type of sequence can be used to represent the expected psi of the tires? Explain. (2 points)
c) Write the formula for the nth term in the sequence. (2 points)
Answers
Answer:
Have you gotten the answers yet?
Step-by-step explanation:
Answer:
here you go
Step-by-step explanation:
the second picture is to part D if you can't see it
Can somebody please help me with question number 1
Answers
Answer:
1a: 6.283
b: 51.313
c: 285.1
Step-by-step explanation:
Area of a sector = (angle/360)πr²
1a
Area=(45/360)π(4²)=6.283
b
Area=(120/360)π(7²)=51.313
c
Area=(270/360)π(11²)=285.1
How do I solve this?
Answers
14.87
Step-by-step explanation:
use the Pythagorean theorem
a^2+b^2=c^2
C being the longest side of the triangle
14^2+5^2=C^2
196+25=C^2
221=C^
find the square root of 221
C=14.866
rounded to nearest tenth
C=14.87
Answer:
15
Step-by-step explanation:
5^2 +14^2=C^2
25+196=C^2
221=C^2
√221=√C^2
14.86=C
appr 15 =C
Find the value of (1/9)3
PLZ HELP!!
Answers
Answer:
1/3
Step-by-step explanation:
Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answers
Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The discount on new camera bought by Amelia = 30%.
To find the number that Amelia should multiply to pay,
Let The required number be x,
and total price of the camera is 100%
So after discount the price of camera = 100 - 30 = 70%
Implies that,
100 × x = 70
x = 70 / 100
x = 7 / 10
So the required number is 7/10 that Amelia should multiply the price she would have to pay.
To know more about Percentage on:
https://brainly.com/question/24120406
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Ben has a number cube with sides numbered 1 through 6. He rolls the number cube once.
What is the probability of rolling an odd number?
Answers
Answer:
1/5
Step-by-step explanation:
This figure is made up of unit cubes, each with a volume of 1 cubic unit. What is the volume of the figure?
Answers
Answer:
100
Step-by-step explanation:
80+20=100
Answer:
100 cubic units
Step-by-step explanation:
I'm just different like that man
help meh pwase explain how ur answer is plz
Answers
Answer: for question 2
B
Step-by-step explanation:
23.15
+12.67
------------
35.82
40.00
- 35.82
---------
4.18