The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent. In a large study of prostate cancer screening, it was found that about 6.2% of the population has prostate cancer. Draw a tree diagram for selecting a person from this population (outcomes: cancer present or absent) and testing his blood (outcomes: test positive or negative).

By answering the above question, we may state that  angle with the smallest measure, the smallest-measured angle

An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.

angle with the smallest measure

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Answer:

x will equal to 4

Answer: 0.2877

Step-by-step explanation:

Given : The proportion of eggs will be damaged in route to the stores = 15% = 0.15

Sample size = 100

Let p be the probability of her eggs will be damaged.

The probability that less than 13% will be damaged is given by :-

[tex]P(p<0.13)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.13-0.15}{\sqrt{\dfrac{0.15\times(1-0.15)}{100}}})[/tex]

[tex]=P(z<-0.56)[/tex]

[tex]=1-P(z<0.56)\\\\= 1-0.7123\\\\= 0.2877[/tex]

Hence, the required probability = 0.2877

Answer:

so the answer is 1 whole and 3/7 hope this helps :)

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5+k−5k=−4k+60

5+k+−5k=−4k+60

(k+−5k)+(5)=−4k+60(Combine Like Terms)

−4k+5=−4k+60

−4k+5=−4k+60

Step 2: Add 4k to both sides.

−4k+5+4k=−4k+60+4k

Answer:

Yes.

Step-by-step explanation:

83/100=0.83 : )

Answer:

Yes

Step-by-step explanation:

0.83 means that it's out of 100, if it was 1.0 that means that it would be 100, a full number.

83/100 means that it's out of 100 as well. If it were to be a whole number it would be 100/100

Answer:

Step-by-step explanation:

8-2x>12

will be nice if you give me brainlies.Good luck!

Answer: 30 minute

Step-by-step explanation:60 diviser par 2

Answer:24 hours

Step-by-step explanation: because 1/2 times 20 will give you 24

Answer:

-2

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

126 divided by 14 = 9

You can check your answer by 9 times 14 which would give you 126.

Answer:

X = -24

Step-by-step explanation:

Using the inverse:

26 + 6 = 32

x = 32 / (-4/3) = -24

Answer:

90000

Step-by-step explanation:

Answer:

[tex]x = 1 \: or \: x = - 13[/tex]

Step-by-step explanation:

[tex]x^2+12x=13 \\ x^2+12x - 13=0 \\ x^2+13x - x - 13=0 \\ x(x + 13) - 1(x + 13) = 0 \\ (x - 1)(x + 13) = 0 \\ x = 1 \: or \: x = - 13[/tex]

We want to see how long it will take for Lin and Noah to run 1 mile. We will see that:

So we know that:

The time in which they run a single mile is given by the quotient between the time and the distance.

For Lin we have:

[tex]T = \frac{2/5 }{2 + 3/4} h/mi = \frac{2/5}{11/4} h/mi = \frac{2*4}{5*11} h/mi = \frac{8}{55} h/mi[/tex]

So Lin runs a mile in (8/55) hours

For Noah we have:

[tex]T = \frac{4/3}{8 + 2/3} h/mi = \frac{4/3}{26/3} h/mi = \frac{4}{26} mi/h = \frac{2}{13} h/mi[/tex]

Noah runs 1 mile in (2/13) hours.

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Answer:

[tex] \frac{a}{b} = 1.5 [/tex]

Step-by-step explanation:

Given that both ∆s are similar, therefore the ratio of their corresponding sides will be the same.

This means: [tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex].

Since this equation is true, rewrite so that you have [tex] \frac{a}{b} [/tex]

[tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex]

Cross multiply

[tex] a*1.4 = b*2.1 [/tex]

Divide both sides by 1.4

[tex] a = \frac{b*2.1}{1.4} [/tex]

Divide both sides by b

[tex] \frac{a}{b} = \frac{2.1}{1.4} [/tex]

[tex] \frac{a}{b} = 1.5 [/tex]

The value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].

Given:

Two triangles in the given figure are similar.

To find:

The value of [tex]\dfrac{a}{b}[/tex].

Explanation:

The corresponding sides of two similar triangles are proportional.

[tex]\dfrac{a}{2.1}=\dfrac{b}{1.4}[/tex]

It can be rewritten as:

[tex]\dfrac{a}{b}=\dfrac{2.1}{1.4}[/tex]

[tex]\dfrac{a}{b}=1.5[/tex]

Therefore, the value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].

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Answer:

Exact Form:

x =1016 /3

Decimal Form:

x = 338. ¯ 6

Mixed Number Form:

x = 338  2/3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

c is my answer to your question

just look at the measurements

Answer:

16

Step-by-step explanation:

took test

Answer:

12 t-shirts

Step-by-step explanation:

12 x 75% = 9 = 9 t-shirts

Answer:

x/7

Step-by-step explanatio

This is all i can help you

<3

Red

Answer:

2 2/5

Step-by-step explanation:

i just googled this srry

Answer:

2 2/5

Step-by-step explanation:

Answer:

x=92 degrees

Step-by-step explanation:

53+45=98

180-98=92

92 is answer

Question:

A gardener planted flowers of different colors.

3/10 of the flowers are yellow.

3/4 of the remaining flowers are green.

The rest of the flowers are purple.

The gardener planted 119 purple flowers, how many flowers did the gardener plant?

Answer:

[tex]Total = 680[/tex]

Step-by-step explanation:

Represent Yellow with Y, Green with G and Purple with P

[tex]Y = \frac{3}{10}[/tex]

First, we need to determine the fraction of the rest.

[tex]Yellow + The\ Rest = 1[/tex] ---- In terms of fraction

[tex]The\ Rest = 1 - Yellow[/tex]

[tex]The\ Rest = 1 - \frac{3}{10}[/tex]

[tex]The\ Rest = \frac{10 - 3}{10}[/tex]

[tex]The\ Rest = \frac{7}{10}[/tex]

We have that:

[tex]G = \frac{3}{4} * The\ Rest[/tex]

[tex]G = \frac{3}{4} * \frac{7}{10}[/tex]

[tex]G = \frac{21}{40}[/tex]

To solve for the fraction of Purple, we make use of:

[tex]Y + G + P = 1[/tex]

[tex]P = 1 - Y - G[/tex]

Recall that: [tex]Y = \frac{3}{10}[/tex] and [tex]G = \frac{21}{40}[/tex]

So:

[tex]P = 1 - \frac{3}{10} - \frac{21}{40}[/tex]

[tex]P = \frac{40 - 12 - 21}{40}[/tex]

[tex]P = \frac{7}{40}[/tex]

At this point, we have the fraction of each flower as:

[tex]Y = \frac{3}{10}[/tex]

[tex]G = \frac{21}{40}[/tex]

[tex]P = \frac{7}{40}[/tex]

Also, we have that:

[tex]P = 119[/tex]

The relationship between both values of P is:

[tex]\frac{7}{40} * Total = 119[/tex]

[tex]Total = 119 * \frac{40}{7}[/tex]

[tex]Total = \frac{119 * 40}{7}[/tex]

[tex]Total = \frac{4760}{7}[/tex]

[tex]Total = 680[/tex]

Answer:

parallel: m= -1/5

parpendicular: m= 5

Step-by-step explanation:

parallel lines have the same slope

- 1      stays the same so      - 1  

 5                                            5

parpendicular lines have the opposite reciprocal slope

- 1      flipped is     - 5      turn the negative into a positive   5      or    5

 5                             1                                                                  1

Answer:

neither

Step-by-step explanation:

the slopes were [tex]\frac{1}{4}[/tex] and [tex]\frac{4}{1}[/tex]

the slopes have to be the same to be parallel and they have to be -1 to be perpendicular and if they arent that that means they are neither

Hope this helps

Answer:

which principle prevents a brach from abusing  its power

Step-by-step explanation:

Answer:

-25/42

Step-by-step explanation:

you need to make the denominators equal, so find a number that is divisible by both 6 and 7 (i chose 42 because it’s the first number that comes to mind) you then multiply the numerator by the same number.

so -1/6 is multiplied by 7 on top and bottom to become -7/42, and -3/7 is multiplied by 6 of top and bottom to become -18/42.

then you add them together and you get -25/42

if possible you would simplify but for this one it’s not :)

Answer:

Negative Twenty Five over Forty Two.

Step-by-step explanation:

Hey, It looks like you just have to add two fractions. i.e Negative One Sixth (-1/6) and Negative Three Seventh (-3/7).

First Step: Make the denomimators the same.

-1/6 will become -7/42

-3/7 will become -18/42

Second step: Add the two fractions.

-7/42 + -18/42 = -25/42

So there is your answer: -25/42