1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alekssr [168]
3 years ago
5

A team consisting of Persephone, Neptune, Ares, and Roger need to select one person to be team captain. In how many ways can thi

s group select a team captain? Moving to another will save this response SELL
Mathematics
1 answer:
Lorico [155]3 years ago
5 0

Answer: 4 ways

Step-by-step explanation:

Given : A team consisting of Persephone, Neptune, Ares, and Roger need to select one person to be team captain.

The number of people in the team = 4

The number of ways to select the team captain from 4 members is given by :-

^4P_1=\dfrac{4!}{(4-3)!}=\dfrac{4\times3!}{3!}=4

Hence, there are 4 ways to select team captain.

You might be interested in
A triangle has angles that measure 8xº,
romanna [79]

Answer:

8xº = 90º

6xº = 67.5º

2xº = 22.5º

x = 11.25°

Step-by-step explanation:

The sum of angles in a triangle is 180°

8xº + 6xº + 2xº = 180º

16xº = 180º

x = 11.25º

8xº = 11.25(8) = 90º

6xº = 67.5º

2xº = 22.5º

Hope this helps :)

3 0
4 years ago
A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the
Vaselesa [24]

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT  = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes =   2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) /  ( 7 / 8 ) = 2 / 7

4 0
3 years ago
Match the parabolas represented by the equations with their vertices. y = x2 + 6x + 8 y = 2x2 + 16x + 28 y = -x2 + 5x + 14 y = -
GaryK [48]

Consider all parabolas:

1.

y = x^2 + 6x + 8,\\y=x^2+6x+9-9+8,\\y=(x^2+6x+9)-1,\\y=(x+3)^2-1.

When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.

2.

y = 2x^2 + 16x + 28=2(x^2+8x+14),\\y=2(x^2+8x+16-16+14),\\y=2((x^2+8x+16)-16+14),\\y=2((x+4)^2-2)=2(x+4)^2-4.

When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.

3.

y =-x^2 + 5x + 14=-(x^2-5x-14),\\y=-(x^2-5x+\dfrac{25}{4}-\dfrac{25}{4}-14),\\y=-((x^2-5x+\dfrac{25}{4})-\dfrac{25}{4}-14),\\y=-((x-\dfrac{5}{2})^2-\dfrac{81}{4})=-(x-\dfrac{5}{2})^2+\dfrac{81}{4}.

When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.

4.

y =-x^2 + 7x + 7=-(x^2-7x-7),\\y=-(x^2-7x+\dfrac{49}{4}-\dfrac{49}{4}-7),\\y=-((x^2-7x+\dfrac{49}{4})-\dfrac{49}{4}-7),\\y=-((x-\dfrac{7}{2})^2-\dfrac{77}{4})=-(x-\dfrac{7}{2})^2+\dfrac{77}{4}.

When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.

5.

y =2x^2 + 7x +5=2(x^2+\dfrac{7}{2}x+\dfrac{5}{2}),\\y=2(x^2+\dfrac{7}{2}x+\dfrac{49}{16}-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x^2+\dfrac{7}{2}x+\dfrac{49}{16})-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x+\dfrac{7}{4})^2-\dfrac{9}{16})=2(x+\dfrac{7}{4})^2-\dfrac{9}{8}.

When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.

6.

y =-2x^2 + 8x +5=-2(x^2-4x-\dfrac{5}{2}),\\y=-2(x^2-4x+4-4-\dfrac{5}{2}),\\y=-2((x^2-4x+4)-4-\dfrac{5}{2}),\\y=-2((x-2)^2-\dfrac{13}{2})=-2(x-2)^2+13.

When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.

3 0
3 years ago
Which of the following shows the reflection?
AysviL [449]

iii shows the reflection

5 0
3 years ago
Read 2 more answers
I need much help plz
salantis [7]

Answer:

77

Step-by-step explanation:

Rate as BRAINLIEST

x + 9y

we plug in x and y

5+9(8)

=5+72

= 77

3 0
3 years ago
Read 2 more answers
Other questions:
  • A sweater is regularly $32. It is 25% off the original price this week.
    5·1 answer
  • HELP FAST
    15·1 answer
  • Wastewater is filling Barrels at the rate of 13 quarts per hour. The recycling facility picks up 96 full barrels on each trip an
    5·1 answer
  • Which of the following will be equal for a cuboid and a pyramid with a triangular base?
    6·2 answers
  • Dimitri is helping to plan the school talent show. Each performer for the talent show has 666 minutes for his or her performance
    10·1 answer
  • what are the values of the coefficient and constant term of 0 = 4 - 7 x^2 + x in standard form? a= b= c=
    11·1 answer
  • Melissa has been given a list of 3 bands and asked to place a vote. Her vote must have the names of her favorite and second favo
    15·1 answer
  • Tina rode her bike a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)
    7·1 answer
  • Pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?
    8·1 answer
  • Simplify the expression shown<br> 3sqr5+4sqr5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!