Permutations acellus How many ways can 4 books be arranged on a shelf if there are 8 books to chose from? Note: nPr = n! —— (n-r)!
Answer:
1680 ways
Step-by-step explanation:
From the question,
nPr = n!/(n-r)!.................. Equation 1
Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.
Given: n = 8 books, r = 4 books.
Substitute into equation 1
8P4 = 8!/(8-4)!
8P4 = 8!/4!
8P4 = (8×7×6×5×4!)/4!
8P4 = 1680 ways.
Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways
What is the area of
28
105
38.5
49
Answer:
105
Step-by-step explanation:
11×14= 154
7×7= 49
154-49= 105
Answer:
105 is ur answer!
you're welcome lol
Mary is applying for a credit card. Which of the following will not determine if she has a high credit limit or not.
A. Credit score
B. Payment history
C. Salary
D. Age
1) Matthew can run of a mile in of an hour. What is the unit rate?
Why is the median better to represent the data of a stem and leaf plot? I NEED THE ANSWER NOW PLSSSS
Answer:
The median value is better because it is not affected by the skewness of the data
Step-by-step explanation:
The median is better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example: for a downward skewed stem and leaf plot the value of the median is greater than the mean value
Hence the median value is a better representation of the central tendency
One airplane is approaching an airport from the north at 164 km/hr. A second airplane approaches from the east at 271 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 17 km from the airport.
Answer:
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Step-by-step explanation:
The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:
[tex]r^{2} = x^{2}+y^{2}[/tex] (1)
Where:
[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.
[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.
By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:
[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
Where:
[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.
[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.
If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\dot r \approx -316.760\,km[/tex]
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Kelly buys 4 7··8 pounds of apples and 2 3··8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work
Answer:
7 1/4 pounds
[tex]4\frac{7}{8} + 2\frac{3}{8}[/tex]
[tex]6\frac{7 + 3}{8}[/tex]
= [tex]6\frac{10}{8}[/tex]
convert the improper fraction to a mixed fraction
10/8 = 1 2/8 = 1 1/4
Add the 1 1/4 to 6 = 7 1/4
Step-by-step explanation:
Kelly buys 4 7/8 pounds of apples and 2 3/8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work
please answer this question for me
Answer:
200
Step-by-step explanation:
2*5=10
4*5=20
20*10=200
A student number system for a county requires that the student number be 5
characters. The first character is a consonant, the second through the fourth characters can be any digit but no digit can repeat and the last character must be a
letter. How many unique student numbers are possible?
546,000 student numbers
393,120 student numbers
302,400 student numbers
468,000 student numbers
Answer:
B
Step-by-step explanation:
First Character: 21 consonant
2nd 3rd and 4th: 10* 9* 8 = 720
Last Character: 26
Total Ways 21 * 720 * 26 = 393120
Find X.
Someone please help me lol !
Answer:
x = 9
Step-by-step explanation:
Formula
The secant and tangent lines bear the following relationship
(tangent line )^2 = the outside secant line * length of the whole line
Givens
tangent line = 15
outside secant line = x
length of whole secant line = x + 16
Solution
15^2 = x ( x + 16)
15^2 = x^2 + 16x
225 = x^2 + 16x
x^2 + 16x - 225 = 0
Answer and Discussion
The equation has two factors.
(x - 9)(x + 25) =0
x + 25 has no meaning. There cannot be a negative length in this level of geometry.
The answer is x - 9 = 0
x = 9
There is a bag filled with 5 blue, 6 red and 2 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 greens?
Answer:
the probability of getting 2 greens is 2/13
Step-by-step explanation:
If all the angles are equivalent (the same), the angles must each be 60 degrees because 60 times 3 angles equals 180.
A. True
B. False
Answer: A
Step-by-step explanation: true true true
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given:
In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G is 110 degrees.
To find:
The measure of angle FEG.
Solution:
Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.
Using extrior angle theorem in triangle EFG, we get
[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]
[tex]5x+6x=110^\circ[/tex]
[tex]11x=110^\circ[/tex]
[tex]x=\dfrac{110^\circ}{11}[/tex]
[tex]x=10^\circ[/tex]
Now,
[tex]m\angle FEG=5x[/tex]
[tex]m\angle EFG=5(10^\circ)[/tex]
[tex]m\angle EFG=50^\circ[/tex]
Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.
A gallon of milk costs $3 nowIf the price is increasing 10% per year, how long before a gallon of milk costs $10 a gallon? Round your answer to the nearest thousandth, and you do not need to include units
Answer:
The answer is 33 years.
Step-by-step explanation:
10% of 3 is .3
Just move the decimal to the left.
.3 times 33=9.9
9.9~10
Cuál es la fuerza total que ejerce 3 personas empujando una carreta? F1 = 30 N, F2 = 45 N, F3 = 38 N?
Respuesta:
113 N
Explicación paso a paso:
Las fuerzas ejercidas se dan como:
F1 = 30 N
F2 = 45 N
F3 = 38 N
A partir de los valores de las fuerzas ejercidas, podemos observar que todas las fuerzas están en la misma dirección; Dado que la fuerza total ejercida es un sol de las 3 fuerzas:
F1 + F2 + F3
(30N + 45N + 38N) = 113 N
What is Common denominator of 1/6 and 3/4? 30, 48, 20, or 64?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
What is the 4th equivalent fraction to 1/2?
Step-by-step explanation:
For example, 2/4 and 3/6 both are equal to ½.
...
Equivalent Fractions Chart.
Unit Fraction Equivalent Fractions
1/2 2/4, 3/6, 4/8..
1/3 2/6, 3/9, 4/12..
1/4 2/8, 3/12, 4/16..
1/5 2/10, 3/15, 4/20,
Answer:
500/1000
Step-by-step explanation:
if you happen to simplify you will get 1/2. hope it helps.good day
Vinay bought a pizza and cut it into three pieces. When
he weighed the first piece he found that it was 7g lighter
than the second piece and 4g.heavier than the third piece.
If the whole pizza weighed 300g. How much did each of
the three pieces weigh?
(Hint: weight of first piece be 'x' then weight of second
piece is 'x + 7', weight of the third piece is 'x - 4')
Answer:
x + x + 7 + x -4 = 300
3x = 297
x = 99 First Piece
x2 = 106 Second Piece
x3 = 95 Third piece
Step-by-step explanation:
Find the value of v (velocity) and V (volume) from the following equations.
a) v = u + at
Where u = 40, a = - 6, t = 4
( PLEASE HELP FAST)
Answer:
16m/s
Step-by-step explanation:
Given data
u = 40,
a = - 6,
t = 4
Let us substitute into the given expresssion to find v
v = u + at
v = 40+ -6*4
v= 40+ (-24)
v= 40-24
v= 16m/s
A store purchased model railroad sets for 400 and sold them for 444 what percentage is the mark-up
Answer:
9.91%
Step-by-step explanation:
cost price= 400
selling price=444
profit made= 444-400
= 44
profit percentage= 44/444 ×100
=9.91%
please help 20 points
Ruby uses 3/8 of a cup of blueberries for her smoothie. If she has 4
cups of blueberries, how many smoothies can she make?
plz help quick
Answer:
10 smoothies
Step-by-step explanation:
because each 3/8th yields 2 smoothies and the leftovers from each cup made 2 more.
Make “a” the subject of the following formula
y + az = z
Mary typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if she took the shortcut shown below PLSSSS HELPPPP
help em out pls and ill give brainliest
Answer:
- 10/5 = -2
- 1.25 = Box next to -2
0.75 = 2nd box facing the right
-0.5 = Box next to -1.25
3/2 = Last box facing the right
Answer:
-2 = -10/5, next is -1.25, next is -0.5, then 0.75, and finally 3/2, from left to right.
Step-by-step explanation:
A.5,8 and 4,5
B.5,8 and 4,3
C. 4,5 and 4,3
Answer: I think it's D.
did u need to add water or take water away to get from the 4 cup mark to the 1 liter mark
Answer:
You have to add water.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
The decision to add water to meet the 4 cup mark of water would be:
Yes, the water must be added.
What is volume?"Volume" is described as the measure of a space that consists of length along with height and width.
Given that,
1 liter of water contains 1000 ml.
The capacity of a standard cup is 236.59 ml
If we take 4 cups, the total volume equals:
= 4 × 236.59
= 946.36 ml
Therefore, .23 cups or 53.64 ml of water would be required to be added.
Learn more about "Volume" here:
brainly.com/question/1578538
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple
interest will she have to pay on the loan?
A.$2,750.00
B.$19,250.00
C.$24,750.00
D.$275,000.00
Please help, I've been stuck on this question for an hour!
Answer:
18 inches
Step-by-step explanation:
Mike forgot to have someone water his plants while he was on vacation. The
plant was originally 30 inches tall. When he came back, part of the plant was
dead, so he had to cut off the top. Now it is only 24 inches tall. By what
percent did the plant's height decrease?
Answer:
6 percent?
Step-by-step explanation:
.