Answer: 1 1/2
Step-by-step explanation:
Here is the correct answer
The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.
Answer:
A.) combination
B.) 167,960 ways
C.) 58,344 ways
Step-by-step explanation:
A.)
Choosing 11 players out of 20 available is a cbinationtuon problem simply because the order of choice of the 11 players does not matter on this scenario.
B.)
Here, the coach wants to select her 11 from all available 20:
We apply the combination formula :
nCr ; where ; n = 20 ; selection, r = 11
nCr = n! / (n-r)!r!
20C11 = 20! / 9!11!
20C11 = 167,960
C.)
1 goalie 10 players
1 goalie is selected from the 3 available goalies AND 10 players from the 17 available players :
This gives :
3C1 * 17C10
3C1 = 3
17C10 = 19,448
3C1 * 17C10 = 3 * 19448
= 58,344 ways
OMG last one please help
Answer:
m<D = 14
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(3) - 4
18 - 4
14
A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train travels 30 mph faster then the first. If the second train overtakes the first at 6:00 pm, what is the the speed of each of the two trains?
Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
Find the value of x and y.
Answer:
x=34[tex]\sqrt{2}[/tex]
y=34[tex]\sqrt{3}[/tex]
Step-by-step explanation:
HELPPPP ME PLSSS DUE IN 10 MINS FOR 20 POINTS
There are 4 blue tiles and 6 red tiles with the letter A written on them in a bag. In the same bag, there are 2 red tiles and 8 blue tiles with the letter B written on them. What is the probability that a randomly selected tile has the letter B or is blue? Give your final answer as the nearest whole percent.
Answer:
70%
Step-by-step explanation:
4 blue tiles A
6 red tiles A
2 red tiles B
8 blue tiles B
total: 20
total B: 2 + 8 = 10
total blue, not B: 4
p(B or blue) = (10 + 4)/20 = 0.7 = 70%
-8 * 2/3 answer as a fraction
Answer:
-8 x 2/3
=–16/3.
or -5⅓
Have a great day!
i need the answer to this question
Answer:
SR=1/2*PO
5x-38=1/2*7x-49
2(5x-38)=7x-49
10x-76=7x-49
10x-7x=-49+76
3x=27
x=27/3
x=9
substitute the value of x in RS
5x-38
5*9-38
45-38
7
Step-by-step explanation:
Answer:
RS = 7
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is
5x - 38 = [tex]\frac{1}{2}[/tex] (7x - 49) ( multiply both sides by 2 to clear the fraction )
10x - 76 = 7x - 49 ( subtract 7x from both sides )
3x - 76 = - 49 ( add 76 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 5x - 38 = 5(9) - 38 = 45 - 38 = 7
A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible
Answer:
I would say about a billion because numbers can be put in any combination
Step-by-step explanation:
EXAMPLES:
012345678
023456781
034567812
045678912
123456780
234567801
345678012
456780123
567801234
678012345
780123456
801234567
123456789
234567891
345678912
456789123
567891234
678912345
789123456
891234567
912345678
There are 3,628,800 possible ways to create passwords .
What is permutation?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set.
The symbol [tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]
is used to denote the number of permutations of n distinct objects, taken r at a time.
According to the question
Website requires users to create a password consisting of digits only.
i.e Digits are:
0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 7 , 8 , 9 = total 10 digits
no digit may be repeated and each password must be at least 9 digits.
i.e Digits taken at a time is 9 with no repetitions
Now ,
Applying permutation
[tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]
substituting the value
n = 10
r = 9
[tex]P_{9} ^{10}[/tex] = [tex]\frac{10!}{(10-9)!}[/tex]
[tex]P_{9} ^{10}[/tex] = 10!
= 3,628,800
Hence, There are 3,628,800 possible ways to create passwords .
To know more about permutations here:
https://brainly.com/question/1216161
#SPJ2
[tex] \sqrt{91 + 9} [/tex]
need help please
What is the slope of the line ?
Answer:
B. ½
Step-by-step explanation:
____________________
I need help looking for the answer,but is my answer correct.
What is another name for 22?
You can rule out both EGF and GEF because they are representing another segment of the graph.
The answer should be DGE. If you use DGE to draw a triangle starting from the first letter (D) and then go to E and then G, then E will be in the middle.
I was taught that the middle letter of any sequence of letters is the angle of said sequence because line DG and line GE connect to form it.
Which of the following graphs corresponds to the following function?
Answer:
3
Step-by-step explanation:
solve:
[tex] \sqrt{x} + \sqrt{5 + x} = 15 \div \sqrt{5 + x} [/tex]
which number represents 4%
400
40
0.4
0.04
Answer:
0.04
Step-by-step explanation:
Pls help kendjehdjjekekebwvujfjej
Answer:
B. 4n²+11n-6
Step-by-step explanation:
________________
Which of the following angles in standard position has a measure between 90° and
180°?
Carl jumped 11512 feet in the long jump. Ben jumped 978 feet. How much farther did Carl jump than Ben? A. 1 5/12feet B. 1 13/24feet C. 2 11/24feet D. 2 1/2feet
Answer:
carl and ben aint human chief
Step-by-step explanation:
Answer:
1 11/12
because they ain't human chief ant answer
HELP PLZ I LOVE YOU GUY LET GOOOOO
Answer:
9 no answer 10
10 no answer 630
11 no answer 12.56 ft^3
12 no answer 268.1 km^3
Step-by-step explanation:
BRANLIEST PLZZZ Let us say you live in the United Sates and will be vacationing in Canada for 2 months. Discuss all the unit conversions you will need in order to make your stay safe and successful. (List all the units that are different in Canada – and what conversions you would need so that you can make sense of them.)
Answer:
take care everyone be safe
stay home , stay safe
take vaccination
a manufacturer made a profit of 60% when he sold each plate for $10. calculate the cost of manufacturing each plate
Answer:
160:10
100:x
160x=1000
x=1000/160
x= $6.25
HELPPPPPP PLEASEEEEEEE
A glass is 1/3 full.
Then 63cm3 of orange juice is poured in.
The glass is now 5/8 full.
What is the total volume of the glass?
Answer:
216 cm³
Step-by-step explanation:
1/3x + 63 = 5/8x
subtract 1/3x from each side; (1/3x = 8/24x and 5/8x = 15/24x)
63 = 7/24x
7x = 63(24)
7x = 1512
x = 216
Which of the following functions is graphed below?
What is the area in square centimeters of the triangle below?
Answer:
it's 10 times 7 divided by 2
solving equations
x-1=19
Answer:
x=20
Step-by-step explanation:
x-1 = 19
Add 1 to each side
x-1+1 = 19+1
x=20
Answer:
x = 20
Step-by-step explanation:
x - 1 = 19
Add 1 to both sides
x = 20
What is the total area of the shape?
A 35 cm?
B 100 cm?
C 70 cm?
D 50 cm?
Answer:
C. 70 cm
Step-by-step explanation:
Split all the shapes, so, the square would be:
4 × 10 = 40
---------------------------------------------------------------------------------------------------------------
Each triangle has an area of 7.5:
7.5 × 4 = 30
---------------------------------------------------------------------------------------------------------------
30 + 40 = 70
---------------------------------------------------------------------------------------------------------------
Have a good day :)
Answer:
70
Step-by-step explanation:
square= 40 (10x4)
two triangles= another square with smaller dimensions= 15
there are two more triangles on the other side so 15x2=30
30+40=70
¿Cómo se mide el grado de una ecuación algebraica?
Answer: El grado de una ecuación lo marca el monomio (o término) de mayor grado absoluto. 5x + 3 = 2x + 1 Ecuación de primer grado (cada término posee solo una incógnita y su exponente es uno) . 5x + 3 = 2x 2 + x Ecuación de segundo grado.
no work needed! pythagorean theorem.
2) x = 4
4) x = sqrt(106) = 10.3
I NEED HELP PLEASE !!!
Answer:
Step-by-step explanation:
1. PW
2.UT
3.CR
4.QW