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2 years ago

What is the Greatest Common Factor of 20, 45x

Mathematics

2 answers:

Xelga [282]2 years ago

7 0

It should be 5 because there is no number greater than that that fits with both numbers

MArishka [77]2 years ago

6 0

The question asks us to find the GCF (Greatest Common Factor) of 20 and 45x. We can do this by listing the prime factorizations of each number.
20: 2 × 2 × 5
45: 3 × 3 × 5
We can see that the only common factor of the two prime factorizations is 5. Therefore, the GCF of 20 and 45x is 5. Hope this helped!

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Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of

Travka [436]

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that $P(B) = 0.1$

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that $P(A|B) = 0.995$

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

$P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067$

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325$

93.25% probability that they have taken this steroid

4 0

2 years ago

A kite has a perimeter of 70 centimeters. One of the shorter sides measures 16 centimeters. What are the lengths of the other th

kari74 [83]

Answer:

a kite has 2 short sides and 2 long sides. The 2 short sides are equal. The 2 long sides are also equal. This means that the other short side is 16cm. And the remaining longer sides can be found like this:

let's pretend *y* is the long side

2*y = 70 - 16 - 16. (two of the long sides = 70 - short side - another short side)

so use algebra to find y.

2*y = 38

y = 19 so the long sides are both 19cm each

Your final answer: 16cm, 19cm, 19cm

5 0

2 years ago

Read 2 more answers

Please help me with this math question

earnstyle [38]

80.64
because 16 times 12 is 192
if every tile is 2 feet divide 192 by 2
you should get 96 meaning there are 96 tiles
then take 96 and multiply by it by .84 because every tile is 84 cents
you then get 80.64

6 0

2 years ago

The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the nu

bogdanovich [222]

Answer:

Option A 50-page photo album holds 400 photographs.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

step 1

Find the value of k

For the point (3,24)

x=3,y=24

k=y/x

k=24/3=8

The equation is equal to

y=8x

step 2

Verify each statement

case A) 50-page photo album holds 400 photographs.

For x=50

substitute in the equation

y=8(50)=400 -----> is correct

case B) 80-page photo album holds 560 photographs.

For x=80

substitute in the equation

y=8(80)=640 -----> is not correct

case C) 100-page photo album holds 8,000 photographs.

For x=100

substitute in the equation

y=8(100)=800 -----> is not correct

case D) 900-page photo album holds 8,400 photographs.

For x=900

substitute in the equation

y=8(900)=7,200 -----> is not correct

9 0

2 years ago

Read 2 more answers

Researchers are assessing a new screening tool (blood-based assay) for early identification of prostate cancer. The test is run

natima [27]

Answer: B. Accurate but not reliable

Step-by-step explanation:

An experiment is said to be "reliable" when it consistently gives the same answers when done repeatedly, when the experiment is carried out several times it gives the same result each times.

An experiment is said to be " accurate "

when it produce a correct result using the right procedure and method .

In this case the research assessing a new screening tools for early identification of prostate cancer, test result is "accurate but not reliable ", since the consistent test result was not accurate.

7 0

2 years ago