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Naya [18.7K]
3 years ago
11

For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hi

lls bank. Each of the four systems detects theft with a probability of 0.99 independently of the others. What is the probability that when a theft occurs, all four systems will detect it?
A. (.99)4B. (.99) * 4C. (.01)4D. 4*(0.01)*(0.99)3E. 4*(0.99)*(0.01)3
Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

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I need help with this ASAP and can you explain so i can understand?!
lisov135 [29]

Answer: 225 adult tickets, 375 student tickets

Step-by-step explanation:

a = adult tickets

s = student tickets

a + s = 600 (the adult and student ticket added together should equal 600)

6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)

a = -s + 600 (get one of the variable by itself by subtracting it from one side)

6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)

-6s + 3600 + 4.5s = 3,037.5 (combine like terms)

-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)

-1.5s = - 562.5 (divide -1.5 from each side)

s = 375

600 = 375 + a (substitute s for 375)

a = 225

6 0
3 years ago
Read 2 more answers
A square patio has an area of 200 square feet. How long is each side of the patio to the nearest tenth?
Jlenok [28]
Area (square)=side²
therefore:
side²=200 feet²
side=√(200 feet²)=14.142 feet≈14.1 feet.

solution: side of square=14.1 feet.
7 0
4 years ago
What should be done to x^2-10x in order to create a perfect square?
Bad White [126]

Answer: B)subtract 5

(x-5)^2-25

Step-by-step explanation:

2a=-10

Divide both sides by 2

2a/2=-10/2

Simplify

a=-5

Add and subtract

x^2-10x+(-5)^2-(-5)^2

Complete the square

(x-5)^2-(-5)^2

Simplify;

(x-5)^2-25

Answered by one other than the <u><em>ONE </em></u>& <u><em>Only</em></u> <u><em>#QUEEN</em></u> herself aka <u><em>#DRIPPQUEENMO!!</em></u>

<u><em>HOPE THIS HELPED!!</em></u>

6 0
3 years ago
for every girl taking classes at the martial arts schools there are 3 boys who are taking classes at the school. if there are 23
Yuliya22 [10]

You have to be very careful how you set this up. For every girl (who counts as 1) there are 3 boys (who count as 3). The total number in the proportion is 3 + 1 =4. You are given a total, but that is both boys and girls. That's why you need the 4.

3/4 = x / 236 Cross multiply

4x = 3 * 236

4x = 708 Divide by 4

x = 708/4

x = 177

There are 177 boys at the school and 236 - 177 = 59 girls.

3 0
3 years ago
The length of each side of an equilateral triangle is 74mm, correct to the nearest millimeter. Calculate the smallest possible p
Olin [163]

Answer:

  221 mm

Step-by-step explanation:

The dimension 74 mm is presumed to mean that the actual length could be anywhere in the interval [73.5, 74.5). So, the minimum perimeter is ...

  3 × 73.5 = 220.5 ≈ 221 . . . millimeters

_____

The perimeter of an equilateral triangle is 3 times the side length, since all three sides of the triangle are the same length.

8 0
3 years ago
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