Answer:
6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.
Mean of Frequency Tables
1. At a party, thirty people have an age of 30, forty have an age of 40 and fifty an age of fifty. What is their average age?
2. In a hardware shop, there are 30 spanners costing £6, 55 hacksaws costings £9 and 10 soldering irons costings £20. What is the average cost per item?
3. Using this frequency table, find the average height of a turnip.
Height (to nearest cm)
6cm 7cm 8cm 9cm 10cm
Frequency:
3 8 12 4 1
Answer: 1. 41.67years
2. £9.21
3. 7.75cm
Step-by-step explanation:
1. At a party, thirty people have an age of 30, forty have an age of 40 and fifty an age of fifty. What is their average age?
Total ages = (30 × 30) + (40 × 40) + (50 × 50) = 900 + 1600 + 2500 = 5000
Total number of people = 30 + 40 + 50 = 120
Average age = Total ages / Total number of people
= 5000/120
= 41.67 years
2. In a hardware shop, there are 30 spanners costing £6, 55 hacksaws costings £9 and 10 soldering irons costings £20. What is the average cost per item?
Total cost of items = (30 × £6) + (55 × £9) + (10 × £20) = £180 + £495 + £200 = £875
Total number of items = 30 + 55 + 10 = 95
Average cost per item = £875/95 = £9.21
3. Using this frequency table, find the average height of a turnip.
Height (to nearest cm)
6cm 7cm 8cm 9cm 10cm
Frequency: 3 8 12 4 1
Total height = (3 × 6cm) + (8 × 7cm) + (12 × 8cm) + (4 × 9cm) + (1 × 10cm) = 18cm + 57cm + 96cm + 36cm + 10cm = 217cm
Total number of turnips = 3 + 8 + 12 + 4 + 1 = 28
Average height = 217cm/28 = 7.75cm
what is the value of x
Answer:
-10
Step-by-step explanation:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.
the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x. please I need the answer fast I WILL GIVE THE BRAINLIEST ANSWER.
Answer:
x ≥ 54
Step-by-step explanation:
x+x-4 ≥ 104
2x ≥ 104 + 4
2x ≥ 108
x ≥ 54
Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. The trip requires 35 seconds. What is his velocity?
Using Pythagorean triplet
[tex]\\ \sf\longmapsto AB^2=AC^2-BC^2[/tex]
[tex]\\ \sf\longmapsto AB^2=4^2-3^2[/tex]
[tex]\\ \sf\longmapsto AB^2=16-9[/tex]
[tex]\\ \sf\longmapsto AB^2=7[/tex]
[tex]\\ \sf\longmapsto AB=\sqrt{7}[/tex]
Now time=35[tex]\\ \sf\longmapsto Velocity=\dfrac{Displacement}{Time}[/tex]
[tex]\\ \sf\longmapsto Velocity=\dfrac{\sqrt{7}}{35}[/tex]
[tex]\\ \sf\longmapsto Velocity=\dfrac{2.6}{35}[/tex]
[tex]\\ \sf\longmapsto Velocity=0.07m/s[/tex]
I am so confused..please help 0-0
Which expression is equivalent to
X^4
Jdnzusjdnekdjdnkdkelef
Write the equation of the sinusoidal function shown.
Answer: A
It looks at though the graph moved down a unit, so definitely a (-1) at the end of the function. If you move the graph up a unit, you will notice that the y = cos x format, therefore, it's not C or D.The amplitude of the function is 1. So B and D are out because their amplitudes are 2.Therefore, the answer is A.
If A teacher works 8 hours a day and earns 15 Dollars How Much money would she have is 4 Days?
the population of a small city grows by 600 every year. If there were 900 people initially, find the population of the city 60 years after the city was first established
Answer:
36900
Step-by-step explanation:
It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900
Answer:
36,900
Step-by-step explanation:
First do 600 times 60=36,000
Next add 900
36,000+900=36,900
theres your answer :)
Which expression is equivalent to 10k + 17 - 7j - 18 - 11k? A. -8jk - 1 B. -7j - k - 1 C. -7j+k+1 D. -8j - k
Answer:
B
Step-by-step explanation:
10k + 17 - 7j - 18 - 11k
-k - 7j - 1
Teresa earns $8.23 per hour. Calculate her wage for a week where she
works 14h 30min.
Answer:
$119.335
Step-by-step explanation:
8.23 per hour
14h 30 mins = 14.5 hrs
8.23*14.5 = 119.335
Answer:
238.67
Step-by-step explanation:
An isosceles triangle has one angle of 30 degrees. Calculate the possible sizes of the other 2 angles
Answer:
75 and 75
Step-by-step explanation:
Answer:
Hello,
Step-by-step explanation:
2 solutions:
30° is angle of the base: other angle of the base is 30° and the main angle is 180°-30°-30°=120°30° is the main angle, angles of the base are (180°-30°)/2=75° and 75°.cp =Rs 720 and SP= Rs 810
Answer:
Profit=Rs90
Step-by-step explanation:We know that,Profit=Sp-Cp =Rs 810-Rs720 =Rs 90
Answer:
solution:
Cp=rs 720
SP=rs 810
now,
profit=sp-cp
= rs (810-720)
profit is rs 90
Through (-1,2) parallel to the line x=5. Find an equation of a line that satisfies the given conditions.
Answer:
x= -1
Step-by-step explanation:
Since x= 5 is a vertical line, the unknown line would also be a vertical line with an equation of x=___ as they are parallel to each other.
Given that the line passes through (-1, 2), the equation of the line is x= -1.
Parallel lines have the same slope and will never meet.
Translate the phrase into an algebraic expression.
The product of 9 and y
Answer:9*y or 9y
Step-by-step explanation:
Fergus has 314 cups of oats. She uses 223 cups of oats to make oatmeal bars, then borrows 1 cup of oats from her neighbor. She wants to make blueberry oat muffins. The recipe calls for 134 cups of oats. Does she have enough? How much will she have left over, or how much more will she need?
�� Yes, she has 34 cup left.
�� No, she needs 34 cup more.
�� Yes, she has 16 cup left.
�� No, she needs 16 cup more
Answer:
No, she needs 1/6 cup more
Step-by-step explanation:
She has 3 1/4 cups
She uses 2 2/3
Subtract
3 1/4 - 2 2/3
Get a common denominator of 12
3 1/4 *3/3 - 2 2/3 *4/4
3 3/12 - 2 8/12
Borrow 1
2 12/12 +3/12 - 2 8/12
2 15/12 - 2 8/12
7/12
She borrows 1 cup
1 7/12
She needs 1 3/4 *3/3 =1 9/12
She is short
1 9/12 - 1 7/12 = 2/12 or 1 /6
Answer:
Yes, she will has 34 cups left
Step-by-step explanation:
BRAINLEST IF CORRECT!!!
Answer:
16 pi
Step-by-step explanation:
This is 1/4 of a circle so the area is 1/4 of the area of a circle
Area of a circle is pi r^2
so the area is 1/4 pi r^2
1/4 pi (8)^2
16 pi
Can some help me with this question :)
Answer:
3/7
Step-by-step explanation:
I think its only 3/7
Cause 9/18=1/2
3/5=0.6
2/10=1/5
and 8/24=1/3
Answer:
[tex] \frac{8}{24} [/tex]
[tex] \frac{2}{10} [/tex]
[tex] \frac{9}{18} [/tex]
PLEASE HELP DUE TODAY
Answer:
is it your homework?
Step-by-step explanation:
A scoop of your favorite flavor of jelly bean costs $2.75. The candy bar your friend likes costs $1.25. Which expression represents the total money you spend? Group of answer choices
HELPPP pleasssse and thankssssss
Answer:
VW=4
Step-by-step explanation:
UW=VW+UV
5x-5=(x)+(3x-1)
5x-5=4x-1
5x-4x=-1+5
x=4
VW=x= 4
I hope I helped you^_^
SEE QUESTION IN IMAGE
Answer:
1.54
Step-by-step explanation:
First, we can take into account that mean = sum / number of students. Therefore, we can find the sum of each group of students, as
1.67 = sum / 20
1.50 = sum / 16
1.40 = sum / 14
Multiplying each equation by the number of students in the group to isolate the sum, we get
1.67 * 20 = 33.4
1.50 * 16 = 24
1.40 * 14 = 19.6
We can sum these up to get the total sum of all three groups of students, resulting in
33.4 + 24 + 19.6 = 77
As mean = sum / number of students, we can say that
total mean = total sum / total number of students
total mean = 77 / (20+16+14)
= 77/50
= 1.54
What is the image of (-5,-5) after a dilation by a scale factor of 3 centered at the origin
Answer:
(-15,-15)
Explanation:
The dilation of 3 to the image means that each coordinate point is multiplied by 3. So, multiplying -5*3 gets you -15.
Consider triangle GHJ in the figure below.
please help :)
Answer:
The picture isnt really showing for me
Step-by-step explanation:
It's either me or the picture.
Which statement about this system of equations is true?
5
A.
The system has no solution.
The system has a unique solution at (0,0).
B.
C. The system has a unique solution at (0,3).
D. The system has infinitely many solutions.
Answer:
A
Step-by-step explanation:
No solution because the line will never intersect each other (cuz the gradient is the same)
Find the surface area of the composite figure. 12 cm 11 cm 5 cm 7 cm 3 cm 4 cm 4 cm 12 cm SA = [?] cm? Enter
Answer:
116cm2
Step-by-step explanation:
ddyjjhffyyyttyu
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
Answer:
C = 6.28 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14(2)
C = 6.28 ft
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
To Find :The circumference of the circle Solution :Formula for getting the circumference
[tex] \: \: \: \: \: \: \: \: \: \star \: \orange{\underline{ \purple{ \boxed{ \red{\sf Circumference \: of \: the \: circle = 2πr}}}}}[/tex]
Given data :
Diameter = 2 ft
π = 3.14
Radius = diameter/2 = 2 ft/2 = 1 ft
So the circumference is
Circumference = 2πrCircumference = 2 × 3.14 × 1 Circumference = 6.28 ftTherefore, the perimeter is 6.28 ft
Simplify the following:
a. 9 sinA +33 cosec A + 10 sin A - 13 cosec A
Answer:
19 sin + 20 cosec
explanation
9 sin A + 10 sinA + 33 -13 cosecA
19 sin + 20 cosec
I need help asap!!Explain how to do the problem
Answer:
Step-by-step explanation:
the scale factor is 2. one length is 10, and the other is 5. pythagorean therom approved.
**25 POINTS**
Which of the following lists of ordered pairs is a function?
Answer: A
Step-by-step explanation: A function is when every domain (x value) corresponds to one range (y value) so that it passes the vertical line test
