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3 years ago

Apply the distributive property to factor out the greatest common factor. 32 + 44 = 32+44=32, plus, 44, equals

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

4 0

Answer:

4 is the largest number that is common to both 32 and 44. Factoring it out looks like this: 4(8 + 11) = 4(8 + 11). That's weird to me but all textbooks begin that process just that same way.

Step-by-step explanation:

sertanlavr [38]3 years ago

4 0

Greatest common factor of 32 and 44 is 4:

32/4 = 8

44/4 = 11

Factor 4 out of the equation 32 + 44 =

The factored form would be 4(8 + 11)

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MARKING BRAINLIST! PLEASE HELP!

Leviafan [203]

Answer:

$\boxed {\boxed {\sf C. \ 4 \ inches}}$

Step-by-step explanation:

Circumference is the perimeter of a circle. It can be found using the formula:

$c= \pi d$

However, we are given the radius.

The radius measures from the center to the edge of the circle.
The diameter measures from edge to edge through the center.
So, the diameter is twice the radius, or d=2r

The formula can be rewritten as:

$c= \pi 2 r$

We know the circumference is 25.12 inches.

$25.12 \ in = \pi 2r$

Let's round pi to 3.14

$25.12 \ in = (3.14) 2r$

We want to solve for the radius, so we must isolate it.

Divide both sides by 3.14 because the inverse of multiplication is division.

$25.12 \ in / 3.14= (3.14 ) 2r / 3.14$

$8 \ in = 2r$

Divide both sides by 2.

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6 0

3 years ago

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.

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3 years ago