Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and ten inches tall. Sam fills the aquarium with water so that one inch of space remains at the top. How many cubic inches of water are in Sam's aquarium?
Answer: [tex]1728\ in.^3[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular base aquarium is [tex]24\ in.\times 8\ in.\times 10\ in.[/tex]
The gap between top and water level is [tex]1\ in.[/tex] i.e. water is filled up to a height of [tex]10-1=9\ in.[/tex]
Now, the dimensions of the water in the aquarium is [tex]24\ in.\times 8\ in.\times 9\ in.[/tex]
The volume of a rectangular base prism is [tex]l\times b\times h[/tex]
The volume of water in the aquarium is
[tex]\Rightarrow V=24\times 8\times 9=1728\ in.^3[/tex]
What are the mean, variance, and standard deviation of these values? Round to the nearest tenth. 12, 13, 15, 4, 11, 12
Plz help
Answer:
i. Mean = 11.2
ii. Variance = 14.17
iii. Standard deviation = 3.76
Step-by-step explanation:
i. Mean, m = [tex]\frac{sum of the values}{number of the values}[/tex]
= [tex]\frac{4+11+12+12+13+15}{6}[/tex]
= [tex]\frac{67}{6}[/tex]
= 11.2
The mean of the given data is 11.2
ii. Variance = [tex]\frac{sum(x_{i} - m)^{2}}{n-1}[/tex]
where: [tex]x_{i}[/tex] is the value of the one observation, m is the sample mean and n is the number of data given.
= [tex]\frac{[(4-11.2)^{2}+(11-11.2)^{2} + (12-11.2)^{2} + (12-11.2)^{2} + (13-11.2)^{2} + (15-11.2)^{2}] }{6-1}[/tex]
= [tex]\frac{[51.84+0.04+0.64+0.64+3.24+14.44]}{5}[/tex]
= [tex]\frac{70.84}{5}[/tex]
= 14.168
Variance = 14.17
iii. Standard deviation = [tex]\sqrt{Variance}[/tex]
= [tex]\sqrt{14.17}[/tex]
= 3.76
A taxi driver charges you $1.50 for the first mile and $.90 for each additional mile. How far could you go for $20.00 if you give the driver a $2.00 tip?
Answer:
You can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.
Step-by-step explanation:
From the information provided, you can say that the total cost of the taxi is equal to the cost of the first mile plus the price for each additional mile for the number of additional miles, which can be expressed as:
c=1.50+0.90(x-1), where
c is the total cost
x is the number of miles
Now, if you want to determine how far you can go for $20 if you give the driver a $2.00 tip, first you have to subtract the tip from the amount you have:
20-2=18
Then, you know that you have $18 for the cost of the taxi and you can replace c with this value and solve for x to find the number of miles:
18=1.50+0.90(x-1)
18-1.50=0.90x-0.90
16.5+0.90=0.90x
17.4=0.90x
x=17.4/0.9
x=19.33
According to this, the answer is that you can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.
Answer:
You can go 19.33 mile
A truck travels 90 miles on 6 gallons of gas.
What is the rate the truck travels in miles per gallon?
Answer:
15 miles per gallon
Step-by-step explanation:
Divide miles travelled by gallons used, that is
90 ÷ 6 = 15 miles per gallon
The rate of the truck is 15 miles per gallon.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a truck travels 90 miles on 6 gallons of gas. The rate of truck will be calculated as:-
Divide miles travelled by gallons used, that is
Rate = 90 ÷ 6
Rate = 15 miles per gallon
Hence, the rateis 15 miles per gallon.
To know more about an expression follow
https://brainly.com/question/11924940
#SPJ2
Simply the expression
The simplified expression is: -243v^5
hope this helps ;')
Question 4 (1 point)
Two paths in a park intersect so that one of the angles at the intersection is 75°
What are the three other angle measurements formed by the intersection?
Answer:
105 degrees (x2) & 75 degrees
Step-by-step explanation:
Consecutive Angle Formulas
A TV has an original price of
$499. Find the new price given a 10% increase
George Washington throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69 degrees with the horizontal. Find the initial vertical and horizontal velocity of the ball.
A. Horizontal 9.6 and vertical 15.2
B. Horizontal 7.2 and vertical 18.9
C. Horizontal 18.9 and vertical 7.2
D. Horizontal 15.2 and vertical 9.6
The initial vertical and horizontal velocity of the ball will be 18.9 feet per second and 7.2 feet per second, respectively. Then the correct option is C.
What is a vector?The quantity which has magnitude, and direction and follows the law of vector addition is called a vector.
George Washington tosses a baseball with an underlying speed of 20.2 feet each second at a point of 69° degrees with the even.
The initial vertical velocity of the ball is given as,
⇒ 20.2 x sin 69°
⇒ 20.2 x 0.9335
⇒ 18.9 feet per second
The initial horizontal velocity of the ball is given as,
⇒ 20.2 x cos 69°
⇒ 20.2 x 0.3583
⇒ 7.2 feet per second
The initial vertical and horizontal velocity of the ball will be 18.9 feet per second and 7.2 feet per second, respectively. Then the correct option is C.
More about the vector link is given below.
https://brainly.com/question/13188123
#SPJ2
Please help find the error
Answer:
the error is they put out the answer
Step-by-step explanation:
Write the interval (1,8] as an inequality
Helppp please fast
Answer:
1 < n < 8
Step-by-step explanation:
2. FIND THE AREA OF THE SHADED
REGION. help me plzz !.!.!.
please help asap......
Answer:
third one and fifth
Step-by-step explanation:
Which expression is equivalent to 5^10 · 5^5
A. 5^2
B. 5^5
C. 5^15
D. 5^50
Given the related graph for each equation, determine which quadratic equation has no real number solutions
Answer:
It is B i just took the instruction 0= -2(x - 2)^2 - 6
Step-by-step explanation:
Select the correct answer.
Consider the graph of the function f(x) = e^x.
Answer:
Option A
Step-by-step explanation:
Equation of the graph → f(x) = eˣ
Range of the given function is (0, ∞).
If the graph of the given function is translated by 3 units up.
New function will be,
g(x) = eˣ + 3
And the range of the new function will be (3, ∞).
Option A will be the correct option.
The range of the new function will be (3, ∞).
What is the range of a function ?
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain
Equation of the graph → f(x) = eˣ
Range of the given function is (0, ∞).
If the graph of the given function is translated by 3 units up.
New function will be,
g(x) = eˣ + 3
And the range of the new function will be (3, ∞).
Therefore , Option A will be the correct answer.
To know more about Range
https://brainly.com/question/17553524
#SPJ5
ABC is dilated by a scale factor of 1/2 to produce A’B’C’. What is A’B, the length AB after the dilation? What is the measure of
...It's A on Ap3x......
The table shows the production cost for various quantities of widgets made.
Answer:
Step-by-step explanation:
First find the rate of change or slope denoted as m
m=(y2-y1)(x2-x1) we can find the slope with any two points.
m=(35000-25000)/(600-200)
m=10000/400
m=25
Now that we know the slope we can find the y intercept or original cost
C(n)=25n+b, using any point we can solve for b, I’ll use (200, 25000)
25000=25(200)+b
25000=5000+b
b=20000 so now we know the complete equation.
C(n)=25n+20000
Answer C.
Describe how the distributive property can be used when doing this calculation
Answer:
Step-by-step explanation:
9 (10 - 3)
you use this to get rid of the number outside of the () in this case it'd be a 9
90 - 27
I'm sorry for asking so many math questions, I just need alot of help
Answer:
20 = √3/2hypo
20×2=√3 hypo
40=√3 hypo
hypo =23
23² = 20² + x²
529= 400+x²
x²= 529-400
x²=129
x= 12.8
Apples cost $2 per pound at the local price club, but
the club has a membership fee of $50. Write an
equation to determine how many pounds (p) of apples
you can buy for $58.
(What’s the answer????)
Answer:
x=4
Step-by-step explanation:
y=2x+50
58=2x+50
8=2x
x=4
find the slope given the following points: (8,-6) (-9,12)
Answer:
Slope (m) = 18 /-17 =-1.0588235294118
Step-by-step explanation:
WILL MARK BRAINLIEST! Find a Linear Function with the coordinate pairs ( 4 , 250) and ( 12 , 650 )
Answer: $75.07
Step-by-step explanation:
company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.
Answer:
$75.07
Step-by-step explanation:
company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.
Ayo who knows how to do this? plz help
Answer:
Step-by-step explanation:
m∠AOB = 72°
m∠A = 54°
Hey y’all! Can y’all please help me?
Solve: -14 - (-3) - 4(22 + 4)
the answer is 115
HOPE THIS HELPS
Answer:
-115
Step-by-step explanation:
Simplify 22+422+4 to 2626.
−14−(−3)−4×26
Simplify 4 times 264×26 to 104104.
−14−(−3)−104
Remove parentheses.
−14+3−104
Simplify -14+3−14+3 to -11−11.
−11−104
Simplify.
−115
someone thats good at geometry please help asap!
Answer:
x=125
Step-by-step explanation:
∠PAT=180° - ∠ATP - ∠APT
∠PAT=180 - 3x - 3 -4x -4= (173 - 7x)°
3x + 3 + 4x + 4 + 173-7x = 180
⇔x = 125
plss plss help mee :0
find the range of the function y=3-x when the domain is (-2,0,3)
Answer:
y=3−x
(−2,0,3)
How many solutions does the system of equations have?
What is the solution?
Answer:
1 solution: (1, 4)
Step-by-step explanation:
The two lines shown intersect ONCE, at (1, 4). This (1, 4) is the solution. There is only one solution.
HELP ME NOW PLEASE AND THANK YOUUU !! Asap on this questions
Answer:
y ≥ -1/2x + 1
Step-by-step explanation:
Not the 1st choice since it's going down
Not the 2nd choice since it's solid line
It's the 3rd choice
Answer:
y ≥ -1/2x + 1
Step-by-step explanation:
Hope this helps
Find the mean of the data in the pictograph below.
1
wands
= 2 wands
Wands each fairy owns
Wands
Glenda
Tink
Merry
Gracie
Fairy
Answer:
7
Step-by-step explanation:
each wand = 2 so you add the wands and multiply the wands by 2
then you divide the answer to the last calculation by 4
which is 28 divided by 4
which = 7
The mean of the data is 7.
What is Arithmetic Mean?The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
Given:
Glenda = 2 x 2= 4 wands
Tink = 3 x 2= 6 wands
Merry = 4 x 2= 8 wands
Gracie = 5 x 2= 10 wands'
So, Arithmetic Mean = (Sum of wands) / (Total number of wands)
= (4+ 6 +8 + 10)/4
= 28/4
= 7
Hence, the mean is 7.
Learn more about Arithmetic Mean here:
https://brainly.com/question/13000783
#SPJ2
Best answer = Brainliest
Answer:
D??? sorry if im wrong
Step-by-step explanation: