Which student used the correct steps to construct rhombus PQRS?

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 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:

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:

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


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

 $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$


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.

5 0

3 years ago

Help i dont know the formula for the triangle to find the answer its surface area n volume

777dan777 [17]

Answer:

#4=10.5

#5=48

Step-by-step explanation:

The formula for the triangle for area is 1/2 time base times hight

The forumale fot the triangle for volume is 1/2 time base times hight

So for number #4 it will be 1/2 x 3 x 7

and number #5, it will be 1/2 x 8 x 12

5 0

3 years ago

Graph from liner standard form 3x+2y=12?

insens350 [35]

Answer:

See picture below.

6 0

3 years ago

Read 2 more answers

A 10 ft. tent pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 deg

GrogVix [38]

So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.
$\frac{opposite}{hypotenuse}=sin\theta,\theta=30,opposite=10,hypotenuse=?$
plug in those values and solve for your hypotenuse.
The easiest way to do this is if you knew the identities for special right triangles like the 30 60 90 triangles or the 45 45 90 triangles, but I showed you how to solve for your sides even if they're not special

6 0

3 years ago

Read 2 more answers

How many edges and vertices does the figure shown have?

emmainna [20.7K]

Answer:

B.15 edges and 10 vertices

Step-by-step explanation:

took test on Time4Learning:)

4 0

3 years ago