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Hitman42 [59]
3 years ago
10

Simplify

lass="latex-formula">
Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

Answer:

5<em>i</em>

Step-by-step explanation:

  1. = \sqrt{-1 * 25}
  2. = \sqrt{-1}\sqrt{25}
  3. = \sqrt{-1} * 5

Rule: \sqrt{-1} = <em>i</em>

So you get <em>i  </em>* 5<em> </em>=<em> </em>5<em>i</em>

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Alexxandr [17]
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3 years ago
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solmaris [256]
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Explanation:
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3 years ago
Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?
Ivan

Answer:

7/80

Step-by-step explanation:

Given that: P(B) = 7 / 20, P(A|B)= 1 / 4

Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:

P(A|B)=\frac{P(A \cap B)}{P(B)}

Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.

P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80

6 0
3 years ago
At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be 5 feet greater th
Salsk061 [2.6K]

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border


we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

P <=180 ft

(2x+2y) <= 180-------> equation 2


substitute the equation 1 in equation 2

2*[5+y]+2y <= 180

10+2y+2y <= 180

4y <= 180-10

4y <=170

y <=42.5 ft

so

the maximum value of the width is 42.5 ft

for y=42.5 ft

x=42.5+5------> x=47.5 ft


the answer is

the width of the border is less than or equal to 42.5 ft


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3 years ago
What is the probability of spinning a 3 on the spinner below?
Mashutka [201]

Answer:

probability of spinning a 3 is 1/8 or 1/8=1/8+1/8=1/4

5 0
3 years ago
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