A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 25 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,500, while the mean attendance on Wednesday evening is calculated as 5,850. The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445. Which of the following is the value of the appropriate test statistic?A. z = -2.4736B. z = 2.4736C. tdf=−2.4736D. td f=2.4736

Answer:

If the length is 50 yd, the width is  60 yd.

If the length is 40 yd, the width is  75 yd.

If the length is 48 yd, the width is  62.5 yd.

If the length is 36 yd, the width is 83.33 yd.

The length and the width vary inversely because when the length decreased the width increased

Step-by-step explanation:

The area of any rectangle A = L × W, where

The relation is direct proportion if the quotient of two quantity equals constant  (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)  

∵ The area of the rectangular plot of land = 3000 yards²

∴ A = 3000

∵ Its length = 50 yards

∴ L = 50

→ Substitute them in the rule above to find W

∵ 3000 = 50 × W

→ Divide both sides by 50 to find W

∴ 60 = W

∴ The width of the plot is 60 yards

∵ Its length = 40 yards

∴ L = 40

→ Substitute them in the rule above to find W

∵ 3000 = 40 × W

→ Divide both sides by 40 to find W

∴ 75 = W

∴ The width of the plot is 75 yards

∵ Its length = 48 yards

∴ L = 48

→ Substitute them in the rule above to find W

∵ 3000 = 48 × W

→ Divide both sides by 48 to find W

∴ 62.5 = W

∴ The width of the plot is 62.5 yards

∵ Its length = 36 yards

∴ L = 36

→ Substitute them in the rule above to find W

∵ 3000 = 36 × W

→ Divide both sides by 36 to find W

∴ 83. 33 = W

∴ The width of the plot is  83.33 yards

∵ The area is a constant value

∵ A = LW

→ The product of L and W equals the constant value, can you discover

   that from the values of L and W

∴  The length and the width of the rectangular plot vary inversely

The length and the width of the rectangular plot vary  inversely when the same area is needed.

Area of rectangular plot [tex]=length *width[/tex]

Given that, Area of plot is 3000 square yards.

             [tex]width=\frac{3000}{50} =60yd[/tex]

            [tex]width=\frac{3000}{40}=75yd[/tex]

            [tex]width=\frac{3000}{48}=62.5yd[/tex]

           [tex]width=\frac{3000}{36}=83.34yd[/tex]

Learn more about the area of rectangle here:

https://brainly.com/question/25292087          

Answer:

Step-by-step explanation:

x  

2

−2x−8=0

x  

2

−4x+2x−8=0

x(x−4)+2(x−4)=0

(x+2)(x−4)=0

⟹x=−2,4

Answer:

e

Step-by-step explanation:

e

Answer:

ion know if imma be right or wrong but im guessing that #1 is C & #4 is either 6 or 7

Step-by-step explanation:

Bc both of the top part of the trapezoids look equal to each other but i could be wrong hopefully this helps

-77 + (-46 )

- 77 - 46 (+ × - = - )

-123

Answer:

-123

Step-by-step explanation:

This is the answer because:

1) First, multiply the negative sign with the positive sign.

Negative x Positive = Negative

Equation: -77 - 46

2) Now, multiply the negative sign with the negative sign.

Negative x Negative =  Positive

Equation: 77 + 46 = 123

3) Finally, add the greater number's sign (-77) in front of the number.

-123

Hope this helps! :D

Answer:

8,403,339

Step-by-step explanation:

Answer:

Each number is one-tenth the number to its left.

Step-by-step explanation: -1,000 is one tenth of -10,000 for example

Answer:

95

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

8455 divided by 89

9514 1404 393

Answer:

  cos(-π/8) = (√(2+√2))/2

Step-by-step explanation:

The half-angle formula is ...

  [tex]\cos{\dfrac{\theta}{2}}=\pm\sqrt{\dfrac{1+\cos{\theta}}{2}}[/tex]

Since cosine is an even function, cos(-π/8) = cos(π/8).

For θ/2 = π/8, θ = π/4 and cos(θ) = (√2)/2. Filling in the formula, we have ...

  [tex]\cos{(-\dfrac{\pi}{8})}=\cos{\dfrac{\pi}{8}}=\sqrt{\dfrac{1+\cos{\dfrac{\pi}{4}}}{2}}=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2}}{2}}\\\\=\sqrt{\dfrac{2+\sqrt{2}}{4}}=\boxed{\dfrac{\sqrt{2+\sqrt{2}}}{2}}[/tex]

Answer:

When simplified they all are 1/5

So yes they are proportional

Answer:

3

Step-by-step explanation:

he pattern is continued by adding 3 to the last number each time, like this: 1, 8, 27, 64, 125, 216, 343, 512, 729

Answer:

Too many :(

Step-by-step explanation:

Its life u know

can i pls have brainliest

Answer:

that number is probably too high to count, don't ya think

Answer:

1/3

Step-by-step explanation:

3/1 backwards is 1/3

that's why its reciprocal is 1/3

hope this helps:)

Answer:

hee ya go (x-4)(-5x+1)=0. (x−4)(−5x+1)=0 ( x - 4 ) ( - 5 x + 1 ) = 0.

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0.

Answer:

x=4

Step-by-step explanation:

If you do 4-4 in the first one you get 0. Then the problem would look like this.

(0)(-5x+1)=0

It wouldn't matter what the next one looks like because you would multiply it by 0 which would give you 0.

(0)(-19)

0 x (-19) = 0

Answer:

B

Step-by-step explanation:

The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi. (x,y) has the meaning of a plane's vector from origin of coordinates.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Group 1:

μ1 = 59.7

s1 = 2.8

n1 = sample size = 12

Group 2:

μ2 = 64.7

s2 = 8.3

n2 = sample size = 15

α = 0.1

Assume normal distribution and equ sample variance

A.)

Null and alternative hypothesis

Null : μ1 = μ2

Alternative : μ1 < μ2

B.)

USing the t test

Test statistic :

t = (m1 - m2) / S(√1/n1 + 1/n2)

S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))

S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))

S = 6.4829005

t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)

t = - 5 / 2.5108165

tstat = −1.991384

Decision rule :

If tstat < - tα, (n1+n2-2) ; reject the Null

tstat < t0.1,25

From t table :

-t0.1, 25 = - 1.3163

tstat = - 1.9913

-1.9913 < - 1.3163 ; Hence reject the Null

Answer: 665

Step-by-step explanation: X + X + 1 + X + 2 = 1998

3X + 3 = 1998

3X + 3 - 3 = 1998 - 3

3X = 1995

3X/3 = 1995/3

X = 665

Answer:

A.2 B.4 C.3 D.4 E.6

Step-by-step explanation:

1/2 ÷ 3/4 = 1/2 x 4/3 (flip 3/4 and keep 1/2)

If you multiply 1/2 x 4/3 you will get 4/6.

Answer:

ok so say the number is 23 you would look at the 3 and ask yourself is the 3 greater or smaller than 5 if its 4 and under you keep the number the same and just add a zero which would make it 20 and if its 5 and over you would add 1 to the first number and put a 0 at the end making it 30. HOPE THIS HELPS!

Step-by-step explanation:

This expression will be;

m(m + 82).

Answer:

[tex]\huge\boxed{f=g(x)\ \text{for}\ x=-\dfrac{16}{3}=-5\dfrac{1}{3}}[/tex]

Step-by-step explanation:

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?

[tex]f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}[/tex]

Answer:

2. LeBron is relatively taller because he has a larger z-score.

Step-by-step explanation:

Given that ,

mean =[tex]\mu[/tex]  = 69.5

standard deviation [tex]=\sigma[/tex]  = 2.7

x = 81

Now use the formula of   z-score

[tex]z = x - \frac{\mu}{\sigma}[/tex]

z =[tex]81 - \frac{69.5}{2.7}[/tex]

z = 4.26  LeBron  

mean = [tex]\mu[/tex] = 64.2

standard deviation =[tex]\sigma[/tex]  = 3.2

x = 76

Now use the formula of   z-score

[tex]z = x - \frac{\mu}{\sigma}[/tex]

[tex]z = 76 - \frac{64.2}{3.2}[/tex]

z = 3.69 Candace  

As it can be seen that the lebron is taller as he has more z-score as compared to the Candace  

Answer:

Step-by-step explanation:

First, we want to take the information we have and turn it into an equation, where x is our unknown dimension. For this problem, it would be better if x was equal to the width.

Let's  write out the equation:

X is the width, 2x + 2 is the length, and we are multiplying both by two since there are two sides of the field. It will all equal to 322, because that is the perimeter.

2*x + 2(2x +2) = 322

Now, let's solve:

2*x + 2(2x + 2) = 322

2x + 4x + 4 = 322

6x + 4 = 322

6x = 318

x = 318 ÷ 6

x = 53

The width is 53 yards. To find the length, we multiply 53 by two and add two.

53 * 2 + 2 = 106 + 2 = 108 yards, as the length