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3 years ago

13

What is the distance along the Ferris wheel between two consecutive seats if the radius of the Ferris wheel is 45 ft and there a

re 30 seats which are equally spaced apart?

1 answer:

Rudiy273 years ago

6 0

230.4 is the answer

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The altitude of a helicopter increases 1000 feet every 4 minutes .what is the unit rate change (feet per minute) of the altitude

Serggg [28]

Answer:

250

Step-by-step explanation:

divide 1000 by 4 and you will get the unit rate

7 0

3 years ago

An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.

Greeley [361]

Answer: 1) 0.6561 2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = $P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}$

$=(1)(0.90)^4=0.6561$

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= $P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037$

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0

3 years ago

A scale drawing of a square has a side length of 9 inches. The drawing has a scale of 1 in. : 5 mi. Find the actual perimeter an

Dennis_Churaev [7]

Answer:

Area = 2025 miles²

Perimeter = 180 miles

Step-by-step explanation:

Given the following :

Scale of drawing = 1 inch : 5 miles

Length of side of the scale drawing = 9 inches

To find The actual perimeter and area of the square, we need ;

Actual length of the drawing :

1 inch = 5 miles

9 inches = (5 × 9) miles = 45 miles

Hence,

Area of a square = a²

Where a = side length

Actual side length = 45 miles

Actual area of square = 45² = 2025 miles²

Actual Perimeter of square :

Perimeter of a square = 4a

a = side length

Actual perimeter = 4(45) = 180 miles

6 0

3 years ago

What number would complete the pattern? 107 98 90 83 77_68 65

Leviafan [203]

Going from 107 to 98 is (minus 9)
going from 98 to 90 is (minus 8)
going from 90 to 83 is (minus 7)
going from 83 to 77 is (minus 6)

following this pattern, the number after 77
is 77 minus 5 = 72

therefore your answer is 72

7 0

2 years ago

What is this expression represent 12f+24

nadezda [96]

Hello, here's our explanation: you had to use distributive property: → $a(b+c)=ab+ac$ . First, rewrite the problem down like 24=12*2. And then, factor out by the common term of 12. Which is gives us the answer is → $12(f+2)$ .

Hope this helps!

Thank you!

Have a great day!

4 0

3 years ago

Read 2 more answers