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jolli1 [7]
4 years ago
15

How many ways can five​ people, A,​ B, C,​ D, and​ E, sit in a row at a movie theater if D and E will not sit next to each​ othe

r?
Mathematics
1 answer:
julsineya [31]4 years ago
8 0

Answer:

The total number of ways in which the 5 people can sit is: 5!=120: 5!=120

Let us assume that person d and e are sitting together and are taken as a single entity, the number of ways in which 4 people can sit is: 4!=24: 4!=24

The number of ways in which d and e are not sitting together: 1120−24=96.

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A survey found that women's heights are normally distributed with mean 62.8 inches and standard deviation of 2.5 inches. This su
Jet001 [13]
<span>a) 

Z*_Upper = (76 - 62.7)/2.5 = 5.32

Z*_Lower = (57 - 62.7)/2.5 = -2.28 

The requirement is to get p(-2.28 < Z < 5.32) = p(Z<5.32) - p(Z<-2.28). 

Use normal distribution table to get the answer for p and multiply with 100 to get the percentage. 

The other questions are now easy for you to answer on your own. Hope it helps.

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4 0
3 years ago
Read 2 more answers
Encontrar las coordenadas en el círculo trigonométrico para los segmentos de recta cuyo ángulo tienen un valor de α = 45°
ICE Princess25 [194]
The answer is A good look
5 0
3 years ago
The width of a golden rectangle is 15 feet. Find the perimeter of the rectangle to the nearest foot
Anika [276]

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.

<h3>What is a golden rectangle?</h3>

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,

Length of the rectangle = 1.618 × 15 feet = 24.27 feet

Now, the perimeter of the rectangle can be written as,

\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} =  2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet

Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.

Learn more about Golden Rectangle:

brainly.com/question/3811402

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7 0
3 years ago
Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each b
andriy [413]
Here is the equation: x+(x+3)=11 ⇒x+x+3=11


You need to get "x" by itself so minus 3 from each side

x+x+3-3=11-3 ⇒ x+x=8 ⇒ 2x=8

Divide 8 by 2

8 ÷ 2=4

x=4

So each 4 is equivalent to 4 

Lets check:

4+(4+3)=11 ⇒ 4+4+3=11 ⇒ 11=11

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7 
4 0
4 years ago
Pleaseee help me with THISS please
marta [7]

Answer:

65.1

Step-by-step explanation:

FG corresponds to IJ, and EF corresponds to HI. So, 13/47 = 18/x. 13x = 846, x= 65.08, which rounds to 65.1.

6 0
3 years ago
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