All categories

3 years ago

At a wedding dance couples have new partners nine times during a five minute song how long does one couple dance together

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

6 0

33.33333333333333333 seconds for every dance with couple

You might be interested in

Consider random samples of size 58 drawn from population A with proportion 0.77 and random samples of size 70 drawn from populat

fredd [130]

Answer:

Step-by-step explanation:

a) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as

Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}

where

p1 = sample proportion of population 1

p2 = sample proportion of population 2

n1 = number of samples in population 1,

n2 = number of samples in population 2,

From the information given

p1 = 0.77

1 - p1 = 1 - 0.77 = 0.23

n1 = 58

p2 = 0.67

1 - p2 = 1 - 0.67 = 0.33

n2 = 70

Standard error = √{(0.77 - 0.67)/[(0.77)(0.23)/58) + (0.67)(0.33)/70}

= √0.1/(0.0031 + 0.0032)

= √1/0.0063

= 12.6

the standard error of the distribution of differences in sample proportions is 12.6

b) the sample sizes are large enough for the Central Limit Theorem to apply because it is greater than 30

8 0

2 years ago

A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is

jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

$A=LW$

where

L is the length

W is the width

we have

$A=8,364\ ft^2$

$8,364=LW$ ----> equation A

The screen is 20 feet longer than it is wide.

$L=W+20$ ---> equation B

substitute equation B in equation A

$8,364=(W+20)W$

solve for W

$8,364=W^2+20W\\W^2+20W-8,364=0$

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

$L=82+20=102\ ft$

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0

3 years ago

Can u help answer this

Sergio [31]

Since x = 2
6(2) = 12/4

12/4 = 3

4 0

3 years ago

Read 2 more answers

What is 62500000 in standard form

8090 [49]

<span>Not included first digit (6), there are 7 digits so

62 500 000 = 6.25×10^7</span>

5 0

3 years ago

What is matrix X if 0.5X=A? Matrix A=[6 -12 4 6].

vladimir1956 [14]

Answer:

See attachment

Step-by-step explanation:

The given matrix equation is:

$0.5X = A.$

To find Matrix X, we need to multiply both sides of the equation by 2 to obtain:

$2 \times 0.5X =2 \times A$

This simplifies to;

$X = 2A$

By scalar multiplication, we multiply each entry in the matrix A by to 2 to obtain matrix X.

6 0

3 years ago