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Lubov Fominskaja [6]
3 years ago
15

Suppose that a vaccine is 85% effective against the flu. You vaccinated 6 people. How many of the 6 vaccinated people do you exp

ect will be protected from the virus?
Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0
<h3>5 of the 6 vaccinated people will be protected from the virus</h3>

<em><u>Solution:</u></em>

Given that,

Suppose that a vaccine is 85% effective against the flu

You vaccinated 6 people

To find: Number of people you expect will be protected from the virus

From given,

85 % of 6 people are effective against the flu

Which means,

\rightarrow 85 \% \text{ of } 6\\\\\rightarrow \frac{85}{100} \times 6\\\\\rightarrow 0.85 \times 6\\\\\rightarrow 5.1 \approx 5

Thus, 5 of the 6 vaccinated people will be protected from the virus

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Suppose f and g are continuous functions such that g(6) = 6 and lim x → 6 [3f(x) + f(x)g(x)] = 45. Find f(6).
aleksandr82 [10.1K]
Since g(6)=6, and both functions are continuous, we have:

\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5


if a function is continuous at a point c, then lim_{x \to c} f(x)=f(c), 

that is, in a    c ∈  a continuous interval, f(c) and the limit of f as x approaches c are the same.


Thus, since lim_{x \to 6} f(x)=5, f(6) = 5


Answer: 5


7 0
3 years ago
John took a 5 ½ mile walk to his friend’s house. He left at 11 a.m. and arrived at his friend’s house at 1 p.m. What was John’s
olganol [36]

Answer:

5.5 miles over 2 hours--> 5.5/2= 2.75 miles per hour was his average walking speed. 5.5 miles over 2.5 hours --> 5.5/2.5= 2.2 miles per hour on the return trip meaning that his average speed was (2.75-2.2= 0.55) 0.55 miles per hour lower on the return trip

Step-by-step explanation:

I hope this helps you :)

<em><u>-KeairaDickson</u></em>

7 0
3 years ago
Find the following using a calculator. Round to four decimal places. (2 points)
EleoNora [17]

The value of log(0.47) after rounding to 4 decimal place is -0.3279

Option D

Given :

Find the value of log(0.47) using calculator

To find the log value we use the calculator

here we are asked to find out log (0.47) that is the log (decimal)

we cannot find the log value without calculator because we have decimal argument inside log.

Use scientific calculator

Press log first then enter the number 0.47 inside a parenthesis

Press enter , it will show you the log(0.47)

log(0.47) =-0.327902142

Now round the answer to 4 decimal places

We have 0 in the 5th decimal place . so we keep 9 as it is

log(0.47) =-0.3279

Learn more :  brainly.com/question/10101390

7 0
2 years ago
I am not sure on how to do this ​
sweet [91]

Answer:

CP = 8 cm

Step-by-step explanation:

Given two chords that intersect inside a circle, then then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

DP × CP = AP × PB ← substitute values

6 × CP = 12 × 4

6CP = 48 ( divide both sides by 6 )

CP = 8

8 0
3 years ago
Read 2 more answers
A sector with a central angle measure of 200 degrees has a radius of 9cm
Helen [10]

Answer:

B) 45\pi cm^{2}

Step-by-step explanation:

A=\frac{\pi r^{2}(central. Angle) }{360} =\frac{\pi (9)^{2}(200) }{360} =\frac{\pi (81)(200)}{360}=45\pi cm^{2}

Hope this helps

3 0
2 years ago
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