Answer: 1.7
Step-by-step explanation:
The rate of gallons per hour is the same as the unit rate. You want to find out how many gallons are filled in one hour, so divide 3 down to one, 3 divided by 3 is one. Then, also divide 5 by 3. 5 divided by 3 is 1.6666... and as an hour is out of 60, round it to 1.7.
I hope this helps!
The table gives the average age of airplanes per airline at Camila’s local airport. By what percent is the number of airlines with an average airplane age of 14 less than the number of airlines with an average airplane age of 11 ?
The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:
B. 20%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
The percentage of airlines with an average age of 14 years is:
[tex]P = \frac{2}{15} \times 100\% = 13.33\%[/tex]
The percentage of airlines with an average age of 11 years is:
[tex]P = \frac{5}{15} \times 100\% = 33.33\%[/tex]
The difference is:
33.33% - 13.33% = 20%.
Hence option B is correct.
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Solve:
3⁄2 c + 23 = 38
c = ___
Answer:
(C)=22.5
Step-by-step explanation:
Hi! ❄
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
First, let's subtract by 23 both sides.
[tex]\sf{\dfrac{3}{2}c=15}[/tex]
Now we multiply the equation by 2.
[tex]\sf{3c=30}[/tex]. See how on the left hand side, the 3/2c*2 turned into 3c? That's because multiplication and division are operations that undo each other.
And Now we just divide by 3 both sides.
[tex]\sf{c=10}[/tex]
Hope this made sense !!
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[tex]\star\tiny\pmb{calligraphy}\star[/tex]
A random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important. The interval that is 95% certain to contain the proportion of all 18-24 year olds who believe that their health is extremely important is
Between 48% and 54% believe that their health is extremely important.
According to the statement
Given that a random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important.
Here
Sample size n =1001
sample proportion p = 0.51
By these values we calculate the Standard error of proportion.
So, Standard error of proportion = 0.0158.
Since sample size is sufficiently large we can take Z critical value for confidence interval
Z critical value for 95% = 1.96
Margin of error = ±1.96*std error
= ±0.0310
confidence interval = 0.51 ±0.0310
= (0.48, 0.54)
So, Between 48% and 54% believe that their health is extremely important.
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Find the volume of this square
based pyramid.
12 cm
10 cm
10 cm
V = [?] cm³
Answer:
[tex]400m^3[/tex]
Step-by-step explanation:
Use the formula [tex]V=\frac{1}{3}Ah[/tex]
Where h=the height of the pyramid (12cm)
A=the base area of the pyramid, also known as the area of the square (10cm*10cm=100cm)
So, inserting this into the equation:
[tex]V=\frac{1}{3} (100)(12)[/tex]
[tex]V=\frac{1}{3} (1200)[/tex]
[tex]V=400m^3[/tex]
Simplify the expression. 3^–9 • 3^6 • 3^6
Answer:
27
Step-by-step explanation:
(3^−9)(3^6)(3^6)
=1/19683(3^6)(3^6)
=1/19683(3^6)(3^6)
=(1/19683(729))(3^6)
=1/27(3^6)
=1/27(729)
=27
Answer:
27^3
Step-by-step explanation:
Helllllllppppppppppp what Is 20 divided by 8
Answer:
2.5
Step-by-step explanation:
IVE BEEN WATCHING YOUR ACCOUNT STOP STEALING POINTS OR YOUR ACCOUNT WILL BE TERMINATED.
A square metal sheet has the side length of 1 cm. À circular hole of radius 2/5 cm is drilled in the middle of the sheet.
How far the hole is from the edge of the sheet?
Step-by-step explanation:
Five guys walk into a bar, how many ways can they sit so as to be arranged from oldest to youngest?
There are 24 ways in which 5 guys can sit if arranged from oldest to youngest.
We have,
Five guys.
Now,
We know that,
Total number of ways to arranged around a table (n) = (n-1)!
So,
For n = 5,
I.e.
(n - 1)! = (5 - 1)! = 4!
So,
Total number of ways to arranged Five guys rom oldest to youngest (n) = (n-1)!
i.e.
= (5 - 1)! = 4!
We get,
= 4 × 3 × 2 × 1
i.e.
Total number of ways to arranged Five guys rom oldest to youngest (n) = 24.
Hence we can say that there are 24 ways in which 5 guys can sit if arranged from oldest to youngest.
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ASAP GUYS PLEASE I NEED UR HELP THIS IS SO HARD
Solve: 5 − 7 ( z + 1 ) = 7 ( − 9 − 3 z )
Answer:
[tex]-\frac{61}{14}[/tex]
Step-by-step explanation:
Question: 5 - 7(z+1) = 7(-9-3z)
We multiply the number in front of the bracket first, since that is multiplication.
--> 5 -7z -7 = -63 - 21z
--> -7z -2 = -63 - 21z
Now, we move all the z and all the numbers to each side.
--> -7z +21z = -63 +2
--> 14z = -61
--> z = -61/14
This cannot be simplified further, so z is -61/14.
please answer asap with a clear answer
The permutations is computed below.
How to illustrate the permutations?1. Evaluate 9P4
9P4 = 9!/(9 - 4)
= 9!/5!
= (9 × 8 × 7 × 6)
= 3024
2. How many ways can 5 students sit on a row of 15 chairs for a photograph?
= 15!(15 - 5)
= 15!/10!
= (15 × 14 × 13 × 12 × 11)
= 360360
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If the average (arithmetic
mean) of 2, 7, and x is 12,
what is the value of x?
Answer: 27
Step-by-step explanation:
Mean = Sum of data/Number of data = (2 + 7 + x)/3 = 12
(x+9)/3 = 12
x+9 = 36
x = 27
You roll two number cubes one red and one blue. the table shows the probability
Answer:
where is the table?
Step-by-step explanation:
Determine whether (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
Yes, (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
In mathematics, the theory of linear systems is the foundation and core part of linear algebra, a subject that is used in most parts of modern mathematics. When the number of equations is the same as the number of variables, there is likely to be a solution. Not guaranteed, but likely.
If there is no solution, the equations are called "inconsistent".
One or infinitely many solutions are called "consistent"
In mathematics, a system of linear equations is a set of one or more linear equations involving the same variables
We need to find whether (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2 or not
Let y = 2x - 8.......(1)
From equation (1) we get, y - 2x = -8.....(2)
2x + 4y = -2.........(3)
Put (3,-2) in equation (2) , we get
-2 - 2(3) = -2 -6 = -8
LHS = RHS
Put (3,-2) in equation (3) , we get
2(3) + 4(-2) = 6 - 8 = -2
LHS = RHS
Hence,(3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
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4(2a+3b)+5(2a=4b) need help
Answer:
18a-8b
Step-by-step explanation:
i think this right but i think u messed up putting an equal sign instead of a subtraction.
Find the volume of the sphere.
Answer:
268.08 (268)
Step-by-step explanation:
The volume of a sphere is 4/3*pie*r^3
The cost in collars, CCC, from an airplane flight given that the average cost of a first class seat is fff dollars and the average cost of an economy seat is eee dollars is given by the equation above if all seats are sold. What is the best interpretation of 88e88e88, e as shown in the above equation
88e interprets the total cost for all the economy class seats, as all seats are sold, where 88 is the number of economy class seats and e dollars is the cost of each economy class seat.
In the question, we are given an equation, C = 24f + 88e, and are informed that the cost, C, in dollars from an airplane flight given that the average cost of a first class seat is f dollars and the average cost of an economy seat is e dollars is given by the equation above if all seats are sold.
We are asked for the interpretation about the 88e as shown in the equation.
The equation given to us is a cost equation.
A cost equation comprises of two parts:
Per unit priceNumber of units.In the given equation, we have two types of quantities:
First class seatsEconomy seatsThus, both these quantities must be having a per unit price, multiplied by the number of units sold.
Now, we are informed that e dollars is the per unit price for an economy class seat.
Thus, 88e interprets the total cost for all the economy class seats, as all seats are sold, where 88 is the number of economy class seats and e dollars is the cost of each economy class seat.
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For complete question, refer to the attachment.
HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I well give 100 point and a crown but need to be answer in less then 20 mins
If I have 419 assignments to do and i have pleated completed 79 how much work will I need to do every day to finish in one week
Answer:
Step-by-step explanation:
419-79= 340 assignments left to do
340/7days=48.57..... or about 46 assignments a day to finish them all in a week
(1 week= 7 days)
I don't know if you were serious but good luck with all the work if you are
Answer:
47 on 6 days and 48 on 1 day.
Step-by-step explanation:
Firstly you need to subtract 79 from 419. You will have 330 assignments left and the divide 330 by 7 since there are 7 days in a week and you get 47.142 and so if you double check by multiplying 47 times 7 it gives 329 so then you get 47 on 6 days and 48 on 1 day. Hope this helps!
A plot of land has been surveyed for a new housing development with borders AB, BC, DC, and DA. The plot of land is a right trapezoid with a height of 60 feet and an opposite leg length of 65 feet.
Right trapezoid A B C D is shown. Angles A and D are right angles. Sides A B and D C are parallel. The length of A D is 60 feet and the length of B C is 65 feet.
If the measure of angle BCD is 67.4°, the measure of angle ABC is
°.
If the length of base AB is 80 feet, the length of DC is
feet.
Answer:
90 approximately because if AB is 80 then DC should be 90 because AB come before DC in letters
Answer:
112.6 degrees and 105 feet.
Step-by-step explanation:
took the assignment
Determine the unknown length or angle measurement. Round each answer to the nearest whole number
(a) The value of the unknown length, a, is 18 cm
(b) The value of the unknown angle measurement, θ, is 39°
From the question, we are to determine the unknown length and angle measurement
(a)
A + B + C = 180° (Sum of angles in a triangle)
A = 180° - (B + C)
A = 180° -(68° + 59°)
A = 53°
Using the law of sines
[tex]\frac{a}{sin A}=\frac{c}{sin C}[/tex]
[tex]\frac{a}{sin 53^\circ}=\frac{19.5}{sin 59^\circ}[/tex]
[tex]a=\frac{19.5 \times sin 53^\circ}{sin 59^\circ}[/tex]
[tex]a= 18.168[/tex]
[tex]a \approx 18 cm[/tex]
(b)
[tex]\frac{sin A}{a}=\frac{sin B}{b}[/tex]
[tex]\frac{sin \theta}{15}=\frac{sin 57^\circ}{20}[/tex]
[tex]sin \theta=\frac{15 \times sin 57^\circ}{20}[/tex]
[tex]sin \theta=0.6290[/tex]
[tex]\theta=sin ^{-1} (0.6290)[/tex]
[tex]\theta=38.976 ^\circ[/tex]
[tex]\theta \approx 39^\circ[/tex]
Hence, the value of the unknown length, a, is 18 cm
The value of the unknown angle measurement, θ, is 39°
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What is the slope of the line represented by the values in the table?
X
10
2
3
7
20
O-2
7-7
12
02
y
14
-2
0
8
34
Answer: 2
Step-by-step explanation:
[tex]\frac{-2-14}{2-10}=\frac{-16}{-8}=\boxed{2}[/tex]
Linda is filling the mold above with water and freezing it for an ice project. If a = 8 cm and b = 7 cm, what will be the volume of the frozen figure?
The volume of the frozen figure is 736 cm³
Volume of a prismFrom the question, we are to determine the volume of the frozen figure
In the given diagram,
The volume of the frozen figure = a³ + 1/2(a²b)
From the given information,
a = 8 cm
b = 7 cm
∴ Volume of the frozen figure = 8³ + 1/2(8² ×7)
Volume of the frozen figure = 512 + 1/2(448)
Volume of the frozen figure = 512 + 224
Volume of the frozen figure = 736 cm³
Hence, the volume of the frozen figure is 736 cm³
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Sheree’s brother gave samuel his collection of stamps when she left for college. at that time, the value of the collection was $420. eight years later, the stamp collection was worth $980. what is the rate of change?
The rate of change of stamp collection was $57.5 per year.
Rate is comparison of two related quantities.
Often the second quantity is time (per second, per hour, etc) but it can be anything.
Can be in the style "this per that" or as a single number calculated using division.
Example: Sam makes 3 pancakes every 6 minutes, that is a rate of:
• 3 pancakes per 6 minutes
• 0.5 pancakes per minute
• 30 pancakes per hour
• an hourly rate of 30
By formula the rate of change = Change in cost/ Time taken
=( $980 - $420)/ 8years
= $460/ 8 years
= $57.5 per year
Thus the rate of change of stamp collection was $57.5 per year.
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A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 ​respondents, 14​% chose chocolate​ pie, and the margin of error was given as +3 percentage points. What values do ​, ​, ​n, E, and p​ represent? If the confidence level is ​%, what is the value of ​?
The completion of the tabs are:
The value of [tex]\bar p[/tex] is the sample proportion.The value of [tex]\bar q[/tex] is found by evaluating [tex]1-\=p[/tex]The value of n is the sample size.The value of E is the margin of error.The value of p is the population proportion. α = 0.05.What is the margin of error.?You may calculate how many percentage points your findings will deviate from the actual population figure by using something called a margin of error.
In conclusion
The worth of p^ is the fraction of the sample.The worth of p^ is discovered by assessingThe sample size is given by the number n.The margin of error is expressed as E's value.The population percentage is represented by the value of p. α = 0.05.In conclusion,
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I forgot how to do this, I need an explanation to find the answer
Answer:
23.53
Step-by-step explanation:
OK so we got sin 52°=0.8 and the cos 52°=0.6
but we need tan 52° because we don't want to spend our time on calculating hypothenuse so
[tex] \frac{ \sin(52) }{ \cos(52) } = 1.3 = \tan(52) [/tex]
so
[tex]1.3 = \frac{x}{18.1} = = = > x = 23.53[/tex]
Which of the following terms is defined as a set of all points in a plane that are a given distance from a point?
O Circle
O Line segment
O Parallel line
O Ray
Answer:
circle
Step-by-step explanation:
any point on the circumference of a circle is equidistant from the centre.
If x = false and y = false, is the statement: not x or not y
a) true
b) false
Answer:
false
Step-by-step explanation:
X is equal to Y
therefore,
X = Y
X= false
Y = false
so,
false = false
James sleeps for 8 hours in a day. what percentage of the day is james a. asleep b. awake
Step-by-step explanation:
asleep percentage :- ( 8h /24h ) 100 % = 33.33%
awake percentage :- ( 16h / 24h ) 100 % = 66.67%
HALP PLS
what is x?
x =x=x, equals
^\circ
∘
degrees
Answer:
x = 90°
Step-by-step explanation:
The line that contains angle x and the 90° angle is a straight line.
A straight line measures as 180°.
So, subtracting the given 90° from the 180° line that the two angles share, we would get the measure of x.
[tex]180-90 =x[/tex]
Which means, [tex]x=90[/tex].
So the value of x is 90°.
Find the common ratio for the geometric sequence defined by the formula: an=40(2‾√)n−1 a n = 40 ( 2 ) n − 1
The ratio of the geometric sequence 40[tex]2^{n-1}[/tex] is 2.
Given that geometric sequence is 40*[tex]2^{n-1}[/tex] and we have to find the common ratio of all the terms.
Geometric sequence is a sequence in which all the terms have a common ratio.
Nth termof a GP is a[tex]r^{n-1}[/tex] in which a is first term and r is common ratio.
Geometric sequence=40*[tex]2^{n-1}[/tex]
We have to first find the first term, second term and third term of a geometric progression.
First term=40*[tex]2^{1-1}[/tex]
=40*[tex]2^{0}[/tex]
=40*1
=40
Second term=40*[tex]2^{2-1}[/tex]
=40*[tex]2^{1}[/tex]
=40*2
=80
Third term=40*[tex]2^{3-1}[/tex]
=40*[tex]2^{2}[/tex]
=40*4
=160
Ratio of first two terms=80/40=2
Ratio of next two terms=160/80=2
Hence the common ratio of geometric sequence is 2.
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There are 52 people in a room. What is the largest value of n such that the statement ""at least n people in this room have birthdays falling in the same month"" is always true?
The largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5
How to determine the value
From the given information, we have 52 people in the room
Note that there are 12 months in a year
Let's divide the number by people by the months of the year
⇒ [tex]\frac{52}{12}[/tex]
⇒ 4 remaining 4
If 48 people are evenly distributed over twelve months, then there will be four people born in each month.
The remaining four people can be placed each in any of the twelve different months.
Hence, if 52 people are evenly distributed as possible, there will be eight months with four people and four months with five people.
Thus, the largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5
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