3. Use the spinner to determine the probability of the event.

Answer:

[tex]\frac{x2}{a} - \frac{y2}{b2} = 1[/tex]

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

[tex]\frac{X2}{16} - \frac{b}{4} = 1[/tex]

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that  a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

I don't feel like explaining so...

a. = 4

The foci c is at +/-2√5, using c² = a² + b²:

B = 2

Substituting the value of a and b to get the equation of the hyperbola:

[tex]\frac{x2}{a2} - \frac{y2}{b2} = 1[/tex]  

[tex]\frac{x2}{16} - \frac{b2}{4} = 1[/tex]

Answer:

3/2

Step-by-step explanation:We know that,

Slope of the straight line passing through the points (x1,y1) and (x2,y2) is

m=y2-y1/x2-x1

Here,

Given, x1= 3,x2= 1

    and y1= 2,y2= -4

so, the slope of the straight line is,

m= -4-2/-1-3

   =3/2

Answer:

On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.

Step-by-step explanation:

We need to find the quotient and the remainder for the following (x²-10x+24)÷(x+6).

The numerator is (x²-10x+24) and the denominator is (x+6). It can be written as :

[tex]\dfrac{x^2-10x+24}{x+6}=\dfrac{(x-4)(x-6)}{(x+6)}\\\\=(x-4)[/tex]

On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.

Answer:

d = 6

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 23 and a₁₁ = 65 , then

a₁ + 3d = 23 → (1)

a₁ + 10d = 65 → (2)

Subtract (1) from (2) term by term to eliminate a₁

10d - 3d = 65 - 23

7d = 42 ( divide both sides by 7 )

d = 6

Answer:

x=-1

Step-by-step explanation:

Answer:

The dimension of the lot is 201.28 ft by 148.28 ft

Step-by-step explanation:

Given;

diagonal of the parking lot, d = 250 ft

let the length of the parking lot = L

the width, W = L - 53

The diagonal of the lot, length of the lot, and width of the lot form a right triangle.

Apply Pythagoras theorem to determine the length, L

L²  +  W² = 250²

L²  + (L - 53)² = 250²

L²  +  L²  - 106L  +  2809 = 62,500

2L²  -  106L  + 2809  -  62,500 = 0

2L²  -  106L  - 59,691 = 0

this forms quadratic equation; a = 2, b = -106 and c = -59,691

[tex]L = \frac{- b \ \ +/- \ \ \sqrt{b^2 - 4ac} }{2a} \\\\L = \frac{- (-106) \ \ +/- \ \ \sqrt{(-106)^2 - 4(-59691 \times 2)} }{2(2)}\\\\L = \frac{106 \ \ +/- \ \ \sqrt{488764} }{4} \\\\L = \frac{106 + 699.12}{4} \\\\L = 201.28 \ ft[/tex]

The width, W = 201.28  -  53

                  W = 148.28 ft

Hi there!  

»»————-　★　————-««

I believe your answer is:  

C) x = 16

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\\frac{x}{2}=8\\-------\\\rightarrow{\frac{x}{2}=8}\\\\\rightarrow(\frac{x}{2}})*2=8*2\\\\\rightarrow\boxed{x=16}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 16

Step-by-step explanation:

х/2 = 8

Multiply each side by 2

x/2*2 = 8*2

x = 16

I = $ 1,200,000.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1000000 × 0.03 × 40 = 1200000

I = $ 1,200,000.00

The simple interest accumulated

on a principal of $ 1,000,000.00

at a rate of 3% per year

for 40 years is $ 1,200,000.00.

Answer:

Matched samples

Step-by-step explanation:

A matched sample is obtained when pairing of treatment values for each subject or observation is performed. This sample obtained from a matched pair is usually called dependent sample and is usually done when each subject in an experiment is subjected to two different treatments usually at different time or stage. Hence, matched samples are used in matching observations to tie different groups.

The answer is 48 notepads.

If s=side, then each side is 12m.

It got cut off but

12mx12m=144m^2 because mxm=m^2.

heart if helpful

Answer:

10.5 is the answer

Step-by-step explanation:

i hope it helps u

Answer:

is the answer y=7? if correct its ok but if the answer didn't match then plesse let me know

Answer:

4.6

Step-by-step explanation:

For this question, we need the opposite side and have the opposite

with that said, out of SOH, CAH, TOA it's fastest to use TOA

tan(75)=17/x

17/(tan(75))=x

x= 4.555136271

which rounds to

4.6

Answer:

[tex]x\approx4.6[/tex]

Step-by-step explanation:

[tex]tan\theta=\frac{opposite}{adjacent}[/tex]

[tex]tan75^\circ=\frac{17}{x}[/tex]

[tex]xtan75^\circ=17[/tex]

[tex]x=\frac{17}{tan75^\circ}[/tex]

[tex]x=4.555136271[/tex]

[tex]x\approx4.6[/tex]

Answer:

23 blocks

Step-by-step explanation:

Count the blocks

The back wall has 3 blocks by 5 blocks which is 15 blocks

The front cubs has 4 blocks by 2 blocks = 8 blocks

Add them together = 15+8 = 23 blocks

9514 1404 393

Answer:

  B. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5

Step-by-step explanation:

Replacing x by x/5 in a function causes its graph to be stretched horizontally by a factor of 5. This is because x must be 5 times as large in order for the function argument to be the same.

Answer:

11.4pounds

Step-by-step explanation:

(5.58+4.68)÷0.90

＝11.4(pounds)

Answer:

500 -100 = 400

la respuesta es 400

Answer:

A sample of 752 should be taken.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

No preliminary sample is taken

This means that [tex]\pi = 0.5[/tex]

How large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?

This is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645*0.5[/tex]

[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]

[tex]n = 751.7[/tex]

Rounding up:

A sample of 752 should be taken.

Answer:

35

All angles of a triangle = 180 degrees subtract 40 from 180 and you get 140

180-40=140 because the other angles are equal with the same equation to get them divide 140 by 2 140/2=70  then you have to get h alone so you divide by the other 2 in the equation 70/2=35  h=35

Answer:

55

Step-by-step explanation:

In triangle ABC (LET'S SAY TRIANGLE IS ABC)

Angle A=40

Angle B = Angle C = x (since 2h is beside B and C both)

40+x+x=180 (Angle sum property)

40+2x=180

2x=140

x=70

2h+70=180 (Angle in a straight line=180)

2h=110

h=55

Answer:

56л

Step-by-step explanation:

area of a pizza of 18 in=  лr²

                                         r=18/2=9

                                          area= л×9²

                                          =81л

area of a pizza of 10in=

                                      r=10/2=5

                                       area=л×5²

                                       =25л

difference=81л-25л

                =56л

Given:

A figure of right triangle with terminal angle [tex]\theta[/tex], base u, perpendicular v and hypotenuse r.

To find:

The value of [tex]\sin \theta[/tex].

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

Substituting Perpendicular = v and hypotenuse = r in the above formula, we get

[tex]\sin \theta=\dfrac{v}{r}[/tex]

The value of [tex]\sin \theta[/tex] is [tex]\dfrac{v}{r}[/tex].

Therefore, the correct option is B.

Answer:

y>7

put the line under the greater than sign

hope this helps

have a good day :)

Step-by-step explanation:

divided  8 on both sides so you get

y>7

Answer:

y ≥ 7

Step-by-step explanation:

[tex]8y \geq 56\\\\\frac{8y\geq 56}{8}\\\\\boxed{y\geq7}[/tex]

Hope this helps.

9514 1404 393

Answer:

  84 adult tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (135-a) is the number of child tickets sold, and total revenue is ...

  5.70(135 -a) +9.40(a) = 1080.30

  3.70a = 310.80 . . . . . . . . subtract 769.50 and simplify

  a = 310.80/3.70 = 84

84 adult tickets were sold on Sunday.

Step-by-step explanation:

hear is your answer in attachment

Answer:

x = 2

Step-by-step explanation:

The denominator of the rational function cannot be zero as this would make it undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

5x - 10 = 0 ⇒ 5x = 10 ⇒ x = 2 ← excluded value

Thus x = 2 is the vertical asymptote

Answer:

This triangle is a right triangle