write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. y=a(x-h)^2+k
vertex:(4,-1) point:(2,3)

Answer:

a) 83.099% of the club members had watched Naruto or Death Note.

b) 15.493% of the club members had watched only Naruto

c) 33.803% of the club members had watched only Death Note.

Step-by-step explanation:

First we find the number of students which each habit, treating the habits as Venn sets.

I am going to say that:

Set A: Watched an episode of Naruto.

Set B: Watched an episode of Death Note.

24 had watched both an episode of Naruto and an episode of Death Note:

This means that [tex](A \cap B) = 24[/tex]

48 had watched an episode of Death Note

This means that [tex]B = 48[/tex].

We have that:

[tex]B = (B-A) + (A \cap B)[/tex]

In which B - A are those who watched only Death Note. So

[tex]48 = (B-A) + 24[/tex]

[tex](B-A) = 24[/tex]

35 members had watched an episode of Naruto

This means that [tex]A = 35[/tex].

[tex]A = (A-B) + (A \cap B)[/tex]

[tex]35 = (A-B) + 24[/tex]

[tex](A-B) = 11[/tex]

At least one:

This is

[tex](A \cup B) = A + B - (A \cap B)[/tex]

So

[tex](A \cup B) = 35 + 48 - 24[/tex]

[tex](A \cup B) = 59[/tex]

Total number of students:

59 at least one, 12 none, so 71 total.

(a) What percent of the club members had watched Naruto or Death Note?

At least one, so 59 out of 71

59*100/71 = 83.099

83.099% of the club members had watched Naruto or Death Note.

(b) What percent of the club members had watched only Naruto?

11 out of 71. So

11*100/71 = 15.493

15.493% of the club members had watched only Naruto.

(c) What percent of the club members had watched only Death Note?

24 out of 71. So

24*100/71 = 33.803

33.803% of the club members had watched only Death Note.

Answer:

i think it is (b) What percent of the club members had watched only Naruto?

Step-by-step explanation:

Answer:2/7

Step-by-step explanation: A reciprocal is the "mirror image" of a fraction so the reciprocal is the fraction upside down.

Answer: 1672

explanation:              add 3% from each previous year to get to the 6th year            

Answer:

16717

Step-by-step explanation:

Answer:

10,844.78

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

Assuming 1875-15 means 1875/15

Answer:

63.5 is the correct answer

Answer:

A = 28 cm

Step-by-step explanation:

equation:

A = [tex]\frac{a + b}{2} h[/tex]

A = [tex]\frac{4 + 10}{2} 4[/tex]

solve:

A = [tex]\frac{14}{2}4[/tex]

A = 7 x 4

A = 28 cm

Answer:

144

Step-by-step explanation:

48cm divided by 4 sides equals to 12cm.

Area equals to 12cm times 12cm which is equal to 144 cm square

Answer:

Step-by-step explanation:

1+1=22 SO 10 FEET OF THAT WILL BE UP YOU A

SS

Answer:

Step-by-step explanation:

1+1=22 so 10 feet of that will be up you a

Answer:

I believe it is false

Answer:

I believe the constant rate is 13

Step-by-step explanation:

I believe this because for each time you divided y/x you will get 13. But in the last one (146/12) it will be 12.16...  So it will show a constant rate if you round the answer of (146/12) but if you aren't supposed to round then there wont be a constant.

Hope  this helps! :)

Answer:

United States federal law signed into law by President Bill Clinton on May 20, 1993, and which came into effect on January 1, 1995.

Step-by-step explanation:

Hope It Helps :)

Answer:

29 1/31 minutes

9 shirts, 5 pants, 4 pairs.

4 Combinations since the lowest of them is 4.Answer:

Step-by-step explanation:

9 shirts, 5 pants, 4 pairs.

4 Combinations since the lowest of them is 4.

Answer:

65 x 12 x 13= 10,140

Answer:

6 ft (not squared)

Step-by-step explanation:

SA = 6(6)(2) + 4(6)(x)

216 = 72 + 24x

144 = 24x

x = 6

Answer:

The answer is A, All of the animals are vertebrates, and all are adapted to hot climate.

Step-by-step explanation:

Because i know for sure the owl has a backbone, and so does a puma and all live in hope weather so it has to be a

Answer:

θ = 35.39°

Step-by-step explanation:

Given that,

Perpendicular, P = 27

Base, B = 38

We need to find the value of angle. Let the angle be θ. So,

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\\theta=\tan^{-1}(\dfrac{27}{38})\\\\\theta=35.39^{\circ}[/tex]

So, the required angle is 35.39°.

Answer:

the inside angle beside 101 is 180-101 = 79 degrees.

the angle beside x = 180-(79+38).

that is 63 degrees.

therefore the angle x = 180-63 that's

117 degrees

Answer:

1/10

Step-by-step explanation:

3/5 = 6x = ?/?

?/? = 1/10

6x/6 = (3/5)/ 6 = 1/10

Answer:

∆EDA~∆ECB (AAA)

3÷ (15+3) = AB ÷ (12+AB)

AB = 2.4

Answer:

the one with Heidy is the 3 one

the 6th one is E

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

60×1÷4=15(1/4)

60-15=45

45×2÷3=30(2/3)

45-30=15

Answer:

x=17

Step-by-step explanation:

Hello There!

The shown figure is a 6 sided figure and if you didn't know the interior angles of a 6 sided figure add up to equal 720

so

720=110+8x-1+5x+36+116+7x+19+6x-2

now we solve for x

step 1 combine like terms

110-1+36+116+19-2=278

8x+5x+7x+6x=26x

now we have

720=278+26x

step 2 subtract 278 from each side

720-278=442

we now have

442=26x

step 3 divide each side by 26

442/26=17

we're left with

x=17

Answer:

1) 180 - 17 = 163

2) 180 - 124 = 56

3) 180 - 86 = 94

Answer:I Dont know about this one soryy

Step-by-step explanation:

Answer:

7.5 cm

Step-by-step explanation:

40:1

× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm

sorry if its incorrect