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Nady [450]
2 years ago
5

A paintER painted about half a room in half a day. Coley estimated the painter would paint 7 Rooms in 7 days. Is coley estimate

resonable.
Mathematics
1 answer:
a_sh-v [17]2 years ago
6 0
Yeah. cause if he painted half a room in half a day that means in a whole day he painted a whole room. so in 7 whole days he should paint 7 whole rooms :)
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A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste
Oxana [17]
Given that X <span>be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02


Part A:

</span><span>The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

</span>P(X)={ ^nC_xp^x(1-p)^{n-x}} \\  \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\  \\ =1(1)(0.98)^{30}=0.5455
<span>

Part B:

The mean of a binomial distribution is given by

</span>\mu=np \\  \\ =30(0.02) \\  \\ =0.6
<span>
The standard deviation is given by:

</span>\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\  \\ =0.7668
<span>

Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.</span>
5 0
3 years ago
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
2 years ago
Read 2 more answers
What is the value of the following(Please show work)
Art [367]

Answer:

1) 3( 2) - 1 = 6 - 1 = 5

2) 2(-1) - 3+4(-1) = -2 -7 = -9

3) 4^2-6(4)=9 = 16-24=9, = -8=9

3 0
3 years ago
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT
Rama09 [41]

Answer:

I think it's the 3rd one but tell me if I'm wrong

7 0
3 years ago
Read 2 more answers
*click image*
nirvana33 [79]

Answer:

142

Step-by-step explanation:

\frac{x+18}{5}=32

Multiplying both sides by 5, you get:

x+18=160

Now, you can subtract 18 from both sides to get:

x=142

Hope this helps! Comment if this wasn't clear enough, or you need more explanation.

3 0
3 years ago
Read 2 more answers
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