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3 years ago

What’s the midpoint of (1,-6) and (8,5)

Mathematics

1 answer:

gulaghasi [49]3 years ago

8 0

Answer:

The midpoint is (4.5,-.5)

Step-by-step explanation:

The x coordinate of the midpoint is the sum of the x coordinate divided by 2

(1+8)/2 = 9/2 = 4.5

The y coordinate of the midpoint is the sum of the y coordinate divided by 2

(-6+5)/2 = -1/2 = -.5

The midpoint is (4.5,-.5)

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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 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

The film starts at 6.45 pm The film last 102 minutes what time dose the film finish

Brrunno [24]

Answer:

102 minutes=1 hour and 42 minutes

6:45+1 hour and 42 minutes=8:27 p.m.

hence, the answer is 8:27 pm

hope this helped.

8 0

2 years ago

a country radio asks every 5th caller what is their favorite type of music, is this biased or unbiased?

Natasha_Volkova [10]

Answer:

unbiased, I think

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

QUICK!!!

Tpy6a [65]

Answer:

she end

Step-by-step explanation:

bansnd

6 0

3 years ago

Simplify ( 8∙4∙2 8∙7 )^2 × ( 8 0 7−3 )^3 × 7 −9 .

stich3 [128]

$\bf ~\hspace{7em}\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
~\hspace{4.5em}
a^n\implies \cfrac{1}{a^{-n}}
~\hspace{4.5em}
\cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\left( \cfrac{8\cdot 4\cdot 2}{8\cdot 7} \right)^2\times \left( \cfrac{8^0}{7^{-3}} \right)^3\times 7^{-9}\implies \left( \cfrac{8\cdot 8}{8\cdot 7} \right)^2\times \left( \cfrac{1\cdot 7^3}{1} \right)^3\times \cfrac{1}{7^9}$

$\bf \left( \cfrac{8}{8}\cdot \cfrac{8}{7} \right)^2\times (7^3)^3\times \cfrac{1}{7^9}\implies \left( \cfrac{8}{7} \right)^2\times 7^{3\cdot 3}\times \cfrac{1}{7^9}\implies \cfrac{8^2}{7^2}\times \cfrac{7^9}{7^9}
\\\\\\
\cfrac{8^2}{7^2}\implies \cfrac{64}{49}$

4 0

3 years ago