Answer:
Step-by-step explanation:
The mode is 24 so we know that at least 2 of the 5 numbers are 24.
The mean is 20 so we know that the 5 numbers add up to 100.
The median is 21 so the third number is 21.
100-(24+24+21)= 31
Now, I am pretty certain that the last 2 numbers can be anything as long as they add up to 31 AND they are not also 21 because 24 then would no longer be the mode.
E.g. 24, 24, 21, 11 & 20
Brian buys a computer for £3100. It depreciates at a rate of 5% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.
Answer: 2398.72
Step-by-step explanation:
Simply do 3100*0.95*0.95*0.95*0.95*0.95 ≈ 2398.72
Hope it helps <3
Answer:
$2398.72( I cannot use your dollar sign).
Step-by-step explanation:
If it decreases by 5% every year, then 3100*0.95=2945. Then 2945*0.95=2797.75. Then the 3rd year is 2797.75*0.95=2657.8625. Then 2,657.8625*0.95=2524.96938. Lastly, in the fifth year, it is 2524.96938*0.95=2398.72091. Then, I round off to the nearest penny(hundredths). The answer I get is $2398.72!
Select the polynomial that is a perfect square trinomial.
36x2 - 4x + 16
16x2 - 8x + 36
25x2 + 9x + 4
4x2 + 20x + 25
none of the above
Step-by-step explanation:
36x²-4x+16 = (6x)²- 2*2*x+ 4² this isn't a perfect square trinomial 16x²-8x+36 = (4x)² - 2*4*x+6² this isn't a perfect square trinomial 25x²+9x+4= (5x)²+2* 9/2 *x+ 2² this isn't a perfect trinomial 4x²+20x+25 = (2x)² + 5*4*x+5² this isn't a perfect trinomial squareAnswer:
option c
Step-by-step explanation:
I am really struggling with this question. please help.
Answer:
y = -2/3x + 1
Step-by-step explanation:
Step 1: Find slope
m = (-1 - 3)/(3 + 3)
m = -2/3
y = -2/3x + b
Step 2: Find b
-1 = -2/3(3) + b
-1 = -2 + b
b = 1
Step 3: Write equation
y = -2/3x + 1
Piravena must make a trip from A to B then from B to C, then from C to A. Each of these three parts of the trip is made entirely by bus or entirely by airplane. The cities form a right-angled triangle as shown, with C a distance of 3000 km from A and with B a distance of 3250 km from A. To take a bus, it costs Piravena $0.15 per kilometer. To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer. Determine the distance she travels for her complete trip. URGENT! I Will mark brainiest if it is correct
Answer:
a) Cost of flying from A to B = $425
b) Total distance travelled by Piravena during the complete trip = 7,500 km
c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.
Step-by-step explanation:
The complete question is presented in the attached image to this question.
Full Question
a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.
b) Determine the distance she travels for her complete trip.
c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.
Solution
a) The distance from A to B is given as 3250 km.
To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.
So, to fly 3250 km, she will pay
100 + (0.10×3250) = $425
b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.
Her complete distance travelled = AB + BC + CA
But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.
Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides
AB² = BC² + CA²
3250² = BC² + 3000²
BC² = 3250² - 3000² = 1,562,500
BC = √1,562,500 = 1,250 km
Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km
c) Her total cost of travel = $1012.50
But she definitely flew from A to B at a cost of $425
This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5
Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.
To confirm this, we calculate the two options (bus or airplane) for each route.
If she travels B to C by bus, cost = 0.15 × 1250 = $187.5
If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225
Hence, the bus obviously minimizes cost here.
If she travels from C to A by bus, cost = 0.15 × 3000 = $450
If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400
Here, travelling by airplane minimizes the cost.
So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5
which is the remaining part of her total cost is she minimized expenses!
Hope this Helps!!!
Answer:
The distance is 7500 kilometers
Step-by-step explanation:
I got the answer wrong myself and the website told me that it’s 7500 kilometers
what was Tomas's first error
Answer:
6 + 6y + 6 = 12 + 6
Step-by-step explanation:
2(3) + 6y = 12
Multiply 2(3).
6 + 6y = 12
Subtract 6 on both sides, so y variable is isolated.
6 + 6y - 6 = 12 - 6
6y = 6
Divide by 6 on both sides.
6y/6 = 6/6
y = 1
A birdbath contains 1\2 liters of water. A rainy day adds a 215 milliliters, more to the birdbath. How many total milliliters of water are in the birdbath after it rained?
Answer:
715
Step-by-step explanation:
The total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division,and multiplication by a conversion factor.
We have:
A birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
1/2 liters = 0.5 liters
We know,
1 lter = 1000 ml
0.5 liters = 0.5×1000 = 500 ml
Total water = 215 ml + 500 ml = 715 ml
Thus. the total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
Learn more about the unit conversion here:
brainly.com/question/14350438
#SPJ2
Non-
n
14. Two packages weigh 3.92 pounds and
2.8 pounds. How many times heavier
is the first package than the second?
07 times
Hey there!
Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!
So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).
3.92÷2.8=1.4
So, the first package is 1.4 times heavier than the first one!
Have a wonderful day!
for how many values of k will x² + kx + 12 factor?
Answer:
6
Step-by-step explanation:
We want to factor the trinomial into a product of binomials. In general, we have ...
(x +a)(x +b) = x² +(a+b)x +ab
So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:
12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)
The values of k are the sums of these factors of 12, so are
1+12 = 13
2+6 = 8
3+4 = 7
-1-12 = -13
-2-6 = -8
-3-4 = -7
There are 6 possible integer values of k that will make the trinomial factorable in integers:
k ∈ {-13, -8, -7, 7, 8, 13}
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume?
15π m3
60π m3
45π m3
30π m3
Answer: 15π m³
Step-by-step explanation:
Volume of a cone = 1/3πr²h
where,
r = radius = 3 meters
h = height = 5 meters
Volume = 1/3πr²h
Volume = 1/3 × π × 3² × 5
Volume = 1/3 × π × 9 × 5
Volume = 1/3 × π × 45
Volume = 45π/3
Volume = 15π m³
Plz help me out with these problems.
∠7 and ∠8 are linear angles and m∠7 is 4 times that of m∠8. Find m∠8 please show work! i already know the answer but I need the work so that i can understand it :) (the answer is 36 degrees)
Answer:
36°
Step-by-step explanation:
Let m∠8 = x°
Therefore, m∠7 = 4x°
Since, ∠7 and ∠8 are linear angles.
Therefore,
m∠7 + m∠8= 180°
4x° + x° = 180°
5x° = 180°
x° = 180°/5
x° = 36°
x = 36
Hence,
m∠8 = 36°
The radius of the circle shown below is 17 yards. What is the length
of the 300 degree arc?
Round your answer to the nearest whole number.
17 yd
300°
Answer:
The length of the arc is 89 yards
Step-by-step explanation:
Mathematically, to find the length of an arc, we use the formula below;
Length of an arc = Theta/360 * 2 * pi * r
In this case, Theta = 300 and r = 17 yards
Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard
can you pls help thank you
Answer:
not a function
Step-by-step explanation:
This is not a function. For the value x =2 there are two different y values
To be a function each value of x has only one value for y
This would also fail the vertical line test
If you invest $1,000 in an account paying 4% interest compounded quarterly,lhow much money will you have after 3 years? A.)$1,500 B.)$1,005 C.)$1,220 D.)$1,225
Answer:
C is closest to the actual result, $1126.03.
Step-by-step explanation:
Use the Compound Amount formula: A = P(1 + r/n)^(nt), where:
P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.
Then we have A = $1000(1 + 0.04/4)^(4*3), or
= $1000(1.01)^12 = $1126.03
Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20.
180
19.5
-4
90
Answer:
x= -4
Step-by-step explanation:
2x+4=6x+20
so 2x-6x=20-4
divide both sides by -4
-4x/-4 = 16/4
=-4
A circular traffic island "roundabout" in Road Town has a radius of 12.5 m. If you drove around it twice, what would be the distance you traveled?
Answer:
About 157 meters
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:
[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]
Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!
Answer:
157.14 mSolution,
1 round = circumference
[tex]2\pi \: r[/tex]
[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]
[tex] = \frac{44}{7} \times 12.5[/tex]
Required distance covered:
[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]
hope this helps..
Good luck on your assignment...
a traffic light can either be green, yellow or red. for every minute, the light stays green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. At any given moment of the day, what is the probability that the light will be yellow? a. 1/12 b. 1/9 c. 1/8 d. 1/6 e. 1/3
Answer:
a. 1/12 (hope it help)
Step-by-step explanation:
5sec/60sec=1/12
The number r is irrational. Which statement about r+7 is true? r+7 is rational r+7 is irrational r+7 can be rational or irrational depending on the value of r
Answer: r+7 is irrational
Step-by-step explanation:
1) If r is irrational, that means that it goes on and on forever.
2) 7 is a rational number because it can be expressed as a quotient of 2 integers (7÷1=7)
3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.
please help me I really need help
Answer:
NS ≈ 79.3 m∠PNS ≈ 30.3°Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
__
We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°
Find the solutions to the equation below.
Check all that apply.
x2 - 25 = 0
O A. X=-3
OB. x = 3
O c. x= -1
O D. x= 1
E. x = -5
O F. X = 5
Answer:
[tex]\boxed{\sf \ \ \ x = 5 \ or \ x=-5 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]x^2-25=0\\<=> x^2-5^2=0\\<=> (x-5)(x+5)=0\\<=> x-5 = 0 \ or \ x+5=0\\<=> x = 5 \ or \ x=-5[/tex]
hope this helps
fgjxgfjvcskutfysfbisylvgkai. is this right that i did???????????????????????????????? dont look it up
Answer: NO. He had an increase of 25%
Step-by-step explanation:
To find the percentage increase, use the following formula where New (this week) = 25 and Original (last week) = 20.
[tex]\% Change=\dfrac{\text{New - Original}}{\text{Original}}\\\\\\.\qquad \qquad =\dfrac{25-20}{20}\\\\\\.\qquad \qquad =\dfrac{5}{20}\\\\\\.\qquad \qquad =\dfrac{1}{4}\qquad \rightarrow \qquad =0.25[/tex]
Convert the decimal into percentage by moving the decimal point two places to the right. 0.25 = 25%
Evan spent 25% more time this week than last week.
It can also be stated that this week Evan did 125% of homework compared to last week.
If Even spent 125% more than last week, he would have spent 100% (20 hours) + 25% (4 hours) = 24 hours.
If ε= {x: x is an integer such that 1
2 < x < 12,
4 < x < 21,
-1 < x < 9
0 < x < 8
x<6
From above: 4 < x < 6 --> x = 5.
Answer: B.
a) Write 0.35 as a fraction in its simplest form.
b) Write 3/8 as a decimal.
c) A rectangular carpet measures 12m by 5m. Part of the carpet is covered by square rug of length 2m. What fraction of the carpet is covered by the rug? Give your answer in the simplest form.
Answer:
a.) 7/20
b.) 0.375
c.) 1/15
Step-by-step explanation:
a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.
Simplify that down by dividing both top-bottom by 5 and you get 7/20
b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.
c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m
Find the fraction: 4/60
Simplify by dividing top-bottom by 4 and you get 1/15
which of the following graphs shows a negative linear relationship with a correlation coefficient, r, close to -0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.
As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
Apply the square root principle to solve (x - 2)2 + 20 = 0.
OA) x = 2 + 2115 , X = 2 - 2015
OB) x = 2 + 215 , X = 2 - 215
OC) x = -2 + 2i15, x = -2 - 2115
OD) x = -2 + 215,= -2 - 2 15
Please answer this fast in 2 minutes
Answer: angles EBA and HBI are congruent
Step-by-step explanation:
they are the congruent because they are verticle angles
In circle A, angle BAE is congruent to angle DAE.
What is the length of BE?
You need to give us answer choices.
However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.
The length of BE could possibly be 27 units.
- I hope this helps. Next time, please use the search feature :)))
Marcie can mow 9 lawns every 14 hours. How many lawns can she mow in 49 hours?
Answer:
Number of lawns mow in 49 hours = 31.5 lawns
Step-by-step explanation:
Given:
Number of lawns mow = 9
Time taken = 14 hours
Find:
Number of lawns mow in 49 hours
Computation:
Time taken for 1 lawn = 14 / 9
Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn
Number of lawns mow in 49 hours = 49 / (14/9)
Number of lawns mow in 49 hours = 31.5 lawns
Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.
A. 1/6
B. 5/6
C. 25/36
D. 10
Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form
with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus
[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]
Substitute this value into y
y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]
= [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]
Since a > 1 then the vertex is a minimum, thus
minimum value = [tex]\frac{1}{6}[/tex] → A
Subtracting Fractions
13 minus 12/40 equals
Answer:
12 7/10
Step-by-step explanation:
13 - 12/40
Simplify the fraction
13 - 3/10
Borrow 1 from 13 in the form of 10/10
12 + 10/10 - 3/10
12 7/10