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Zarrin [17]
4 years ago
13

A vaccine has 90% probability of being effective in preventing a certain disease. the probability of getting the disease if the

person is not vaccinated is 50%. in certain geographic region, 25% of the people get vaccinated. if a person is selected at random , find the probability that he or she will contract the disease
Mathematics
1 answer:
IgorLugansk [536]4 years ago
4 0
If 25% of the people <em>are</em> vaccinated, then 75% of the people are <em>not</em> vaccinated.  Of those not vaccinated, each has a 50% chance of contracting the disease.  The probability that someone is both not vaccinated and contracts the disease is (0.75)(0.5)=0.375.
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease.
Add these together for the total:  0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
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What is -4x - 10 ≤ 2?
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Answer:

x≥-3

Step-by-step explanation:

-4x-10≤2

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5 0
3 years ago
The length of the entire border of the Unites States is approximately 32,000 miles, 5 8 of which is coastline. How long is the c
Aleksandr [31]

Answer:the coastline is 20000 miles.

The land boundaries are 12000 miles.

Step-by-step explanation:

The length of the entire border of the Unites States is approximately 32,000 miles.

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5/8 × 32000 = 20000 miles.

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7 0
4 years ago
Will give Brainliest! Just correct answers with a full explanation. A Simple way to solve <img src="https://tex.z-dn.net/?f=4%5E
Amiraneli [1.4K]

4^x-2\cdot5^{2x}-10^x>0

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let $2^x=a$ and $5^x=b$

So, $a^2-2b^2-ab>0$

divide by $b^2$, ($b^2>0$)

$\implies \left(\frac ab\right)^2-\left(\frac ab\right) -2>0$

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8 0
4 years ago
Find the missing side of each triangle. Leave your answers in simplest radical form.
QveST [7]

Answer:

Missing side = 12.04mi /√145mi.

Step-by-step explanation:

<h3>Given :- </h3>

Perpendicular = 9 mi

Base = 8 mi

And Hypotenuse = missing side = x

<h3>Solution :- </h3>

Now substitute the values

➟ ( 9 mi ) ² + ( 8 mi ) ² = x²

Simplify the values

➟ 81 mi ² + 64 mi ² = x ²

Add the values

➟ 145 mi ² = x ²

Finding , the root of 145 mi ²

➟ √145 mi ² = x

➟ 12.04 mi = x

Therefore, The missing side of the triangle is 12.04 mi / √145 mi.

4 0
3 years ago
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