Answer: [tex]100.544\ in.^3[/tex]
Step-by-step explanation:
Given
Diameter of the cone [tex]d=8\ in.[/tex]
Height of the cone [tex]h=6\ in.[/tex]
Volume of the Cone is given by
[tex]\Rightarrow V=\dfrac{1}{12}\pi d^2h[/tex]
[tex]\Rightarrow V=\dfrac{1}{12}\times \pi\times 8^2\times 6\\\\\Rightarrow V=16\pi \\\Rightarrow V=100.544\ in.^3[/tex]
The volume of the cone is [tex]100.544\ in.^3[/tex]
write two inequalities to compare -2 and -18
Step-by-step explanation:
here's the answer to your question
kendra is 3 times her duahters age plus 7myears kendra is 49 years old. write an equation to find her duaters age
Answer:
Kendra's daughter is 14 years old.
Step-by-step explanation:
If I'm reading this correctly, it says "plus 7 more years." I'm writing my equation based off that phrase being true.
Set up equation:
Variable x = daughter's age
x × 3 + 7 = Kendra
x × 3 + 7 = 49
3x + 7 = 49
3x = 42
x = 14
Check your work:
14 × 3 + 7 = 49
42 + 7 = 49
49 = 49
Correct!
PLEASE HELP ASAP !! IF I DONT FINISH THIS HOMEWORK ILL GET GROUNDED .
A group of 11 students participated in a quiz competition. Their scores are shown below:
Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Answer:
A) Histogram
Step-by-step explanation:
A) The first step would be to look at the purpose and use for each type of plotting method;
Dot Plot: Used to represent the distribution of data (for ex; #of Strawberries, Blueberries, and Raspberries.
Histogram: A histogram is used to summarize discrete or continuous data. In other words, it provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values
Box Plot: Summerizes a set of data measured on an interval scale.
Best choice: Histogram- The reason why a histogram is the best representation of the student quartiles is because a histogram is used to summarize discrete or continuous data, and the given data is discrete
B)
To create your histogram you first have to create a frequency table like the one below;
On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown (Score, etc.)
Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.
That's how it's done!
Answer:
this is only for part a: a histogram
Step-by-step explanation: a histogram is like a bar graph and instead of putting dots or X's just graph it its much easier
Find the area of a regular
polygon with 7 sides that has a
perimeter of 63 inches and an
apothem of 8 inches.
Answer:
The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.
The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.
Then the area is
A = (1/2)(8)(42) = 336/2 = 168 in2
I hope this helped!
PLZZZZZZ HELPPPPPPPP!!!!
Answer:
[tex]3 \frac{3}{5} [/tex]Step-by-step explanation:
Given,
Vince used a cup of lemonade will be = 3/5
We know that,
Amount of lemonade used by Luva is 6 times of Vince
Therefore,
Lemonade used by Luca
[tex] = \frac{3}{5} \times 6[/tex]
[tex] = \frac{18}{5} [/tex]
[tex] = 3 \frac{3}{5} (ans)[/tex]
If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter
Answer:
If ABCD is If ABCD is dilated by a factor of }, the
coordinate of B' would be:2
3. How many right angles and parallelogram has
Answer:
parallelogram has 4 right angle.
Answer:
It has 4 angles
Step-by-step explanation:
Sara brought a car for 16,586 and paid 1,038 for tax, title, and registration.Which equation shows about how much Sara paid, to the nearest hundred?
Answer:
P+T+t+R=TA
Step-by-step explanation:
this should help
Answer:
17,600
Step-by-step explanation:
16,586 + 1,038 = 17,624 ≈ 17,600
(x^2-4x)^2+(x-2)^2+10
Answer:
x^4-8x^3+17x^2-4x+14
Step-by-step explanation:
Answer:
nan
Step-by-step explanation:
see the above picture
hello, help needed. show work please. 55 points!! due today.
Answer:
see below
Step-by-step explanation:
x+5
y = ----------------------
x^2 - 2x+1
Since the degree of numerator < degree of denominator ( 1 < 2) there is a horizontal asymptote: y = 0
Hernando's salary was $54,500 last year. This year his salary was cut to $52,355. Find the percent decrease. Round to the nearest tenth of a percent.
Answer:
Decrease by 3.9%
Step-by-step explanation:
54,500(1-x) = 52355
x=0.03935... = 3.935% or 3.9%
Answer:
first we subtract his new salary from the old salary to get the decrease.
Then percentage decrease ,we get the decrease over the new salary and multuply by 100. to get the percentage decrease
Given: The equation of a parabola is x2 = 8y.
Step 3: Where does the directrix for the given parabola lie? Enter the equation for the directrix line. Use your keyboard and the keypad to enter your answer. Then click Done.
Answer:
x=-2
Step-by-step explanation:
Answer:
Since a = 2, the equation for the directrix line will be y = −2.
Step-by-step explanation:
Can you help please please helps
Answer:
2nd option
Step-by-step explanation:
Given
- np - 6 ≤ 3(c - 5) ← distribute
- np - 6 ≤ 3c - 15 ( add 6 to both sides )
- np ≤ 3c - 9
Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.
n ≥ [tex]\frac{3c-9}{-p}[/tex]
An aircraft carrier can travel 450 km in the same time a container ship travels 300 km. If the aircraft carrier was travelling 5 km/h faster what was the speed of the container ship?
Answer:
10 Km/h
Step-by-step explanation:
Let the speed of the container ship be y
The speed of the aircraft = y + 5
Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:
Speed of aircraft (Sₐ) = y + 5
Distance travelled (dₐ) = 450 Km
Time for aircraft (tₐ) =?
Speed = distance / time
Sₐ = dₐ / tₐ
y + 5 = 450 / tₐ
Cross multiply
(y + 5) × tₐ = 450
Divide both side by (y + 5)
tₐ = 450 / (y + 5)
Finally, we shall determine the speed of the carrier. This can be obtained as follow:
Speed of container ship (S꜀) = y
Distance travelled (d꜀) = 300 Km
Time for container ship (t꜀) = Time for aircraft (tₐ)
Time for aircraft (tₐ) = 450 / (y + 5)
t꜀ = tₐ
t꜀ = 450 / (y + 5)
Speed = distance / time
S꜀ = d꜀ / t꜀
y = 300 ÷ 450 / (y + 5)
y = 300 × (y + 5) / 450
y = (300y + 1500) / 450
Cross multiply
450y = 300y + 1500
Collect like terms
450y – 300y = 1500
150y = 1500
Divide both side by 150
y = 1500 / 150
y = 10 Km/h
Thus, the speed of the container ship is 10 Km/h.
fifty-five percent of the pupils in a class are girls. What is the ratio of the number of boys in the class?
Answer:
45 boys
Step-by-step explanation:
55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys
Answer:
45 boys
Step-by-step explanation:
55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys
What is the quotient?
(-3)
(-3)²
O-9
1
o
1
9
100
O 9
Answer:
(-3)
Step-by-step explanation:
follow me if you want
Question Two please help
Answer:
The similarity statement is RTS and ACB. Other options are correct
HELP PLEASE IM GONNA FAIL
21. Identify as a function or not a Function
Answer:
First one: function
Second one: not a function
Step-by-step explanation:
A function is a relationship where each input has it's own unique output. If an input has more than one output then the relationship is not a function
For the first one no x value repeats meaning each input has it's own output therefore it is a function
For the second one the x value 8 has more than 1 output therefore the second one is not a function
What table represents a linear function
Answer:
OPTION 1
Step-by-step explanation:
A function has exactly 1 output for every input option 1 is the only one where every x value corresponds to exactly 1 y-value.
Please help me fast
Answer:
864
Step-by-step explanation:
A=6a^2=6·12^2=864
Answer:
864 in^2
Step-by-step explanation:
2(144+144+144) = 2(432) = 864 in^2.
Hope this helped!
The average weight of 50 teachers is 46kg. If the average weight of gents teachers is 50kg and the average weight of ladies teachers is 40 kg, what is the number of ladies and gents teachers,
Answer:
20 ladies
30 gents
Step-by-step explanation:
Let :
x = number of ladies
50 - x = number of gents
total weight of the ladies = 40x
total weight of the gents = 50(50 - x) = 2500 - 50x
Average weight : (40x +2500 - 50x) / 50 = 46
cross multiply
2500 - 10x = 2300
combine like terms
2500 - 2300 = 10x
200 = 10x
x = 20 = number of ladies
Number of men = 50 - 20 = 30
The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.
Answer:
Cost of a play station game = $11.3
Cost of each water ride = $22.6
Step-by-step explanation:
Entrance tickets = $89.97
Royal meal = $10.85
Cost of a play station game = x
Cost of each water ride = 2x
Find the cost of a water ride
Entrance tickets = Royal meal + 1 play station game + 3 water rides
89.97 = 10.85 + 1(x) + 3(2x)
89.97 = 10.85 + x + 6x
89.97 = 10.85 + 7x
89.97 - 10.85 = 7x
79.12 = 7x
x = 79.12/7
x = 11.302857142857
Approximately to the nearest tenth
x = $11.3
Cost of a play station game = x = $11.3
Cost of each water ride = 2x
= 2(11.3)
= $22.6
Decide whether the graphs of the two equations are parallel. y=3x+8 and y/3-3=x
Answer:
Equation #1:
[tex]y = 3x + 8[/tex]
Equation #2:
[tex]\frac{y}{3} -3=x\\\\\frac{y}{3}=x+3\\\\y=3(x+3)\\\\y=3x+9[/tex]
Parallel equations have the same slope. Since both share the same slope of 3, they're parallel.
Below are the ratings for a sample of 12 hotels in small Ontario towns:
1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2
The critical values of this data set are given:
Q1=4.8 Q2=6.6 Q3=7.2
a) Determine the following and show all work: [3 marks]
i) interquartile range (IQR)
ii) upper boundary and lower boundary
iii) any outlier(s)
b) Create a modified box plot for the data, showing any outlier(s). [1 mark]
c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]
Answer:
a)
i) Interquartile range is 2.4
ii) Upper boundary is 10.8
The Lower boundary is 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
b) The modified boxplot with one outlier is given in the diagram.
c) The 80th percentile is
The minimum rating the hotel can get is 7.3
Step-by-step explanation:
a)
i) Interquartile range is
IQR = Q3-Q1 = 7.2-4.8 = 2.4
ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8
Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
c) The 80th percentile is given by
n= 12
k = 0.80
Index is given by k*n =0.80*12 = 9.6
Round to nearest whole number, that is 10th
80th percentile is the 10th number (arranged in ascending order)
80th percentile = 7.3
The minimum rating the hotel can get is 7.3.
b) The modified boxplot with one outlier is given as follows,
What is the volume of the pyramid below?
Answer:
96m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 12 m
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 24 × 12
= 288/3
= 96 m³
Answered by GAUTHMATH
Find the value of x for which ABCD must be a parallelogram
a. 1
b. 94
c. 3
d. 47
Answer:
c. 3
Step-by-step explanation:
BC||AD so <CBD=<BDA
15x+2=9x+20
15x-9x=20-2
6x=18
x=3
A translation is shown on the grid below. Which are true statements about the translation?
The sides of the image and pre-image are congruent
Each point has moved the same number of units
Which function is increasing?
Answer:
A, it's the only one with a number greater then 1
Fill in the blanks to write a verbal description
Answer:
Step-by-step explanation:
17.
The expression 4(x-7) is the product of 4 and the difference of x and 7.
18.
The expression 2+8/c is the sum of 2 and the quotient of 8 and c.
how did they get 3/4 ?
someone please help me explain
Answer: 0.6/0.8
= (0.6*100)/(0.8*100) {multiplying by 100 in both numerator and denominator}
= 60/80 (cut the zero)
= 6/8 (cut by 2)
= 3/4
