Use the diagram to identify 4 collinear points

Answer:

The positive predictive value ≈ 30.012%

Step-by-step explanation:

(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06

The percentage people correctly identified as having the disease by the standard diagnostic test = 91%

The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%

Therefore, the sensitivity of the test, P(T + |D) = 0.91

The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92

Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94

Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease

The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives

Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8

Therefore, we have;

[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]

The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased  +ve)

[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]

Therefore;

The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%

Answer:

Step-by-step explanation:

That'd be 617,501.  This is greater than 617,500.

Answer:

Answer is A.  -296x+960/ -636x+3,024

Step-by-step explanation:

Answer:

HEREEE besties

Answer:

i believe your answer is.

4,789,658,950

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Using the rules of logarithms

logx - logy = log ([tex]\frac{x}{y}[/tex] )

logx = logy , then x = y

Given

log(x) - log(x + 6)

= log([tex]\frac{x}{x+6}[/tex] )

Then

log )[tex]\frac{x}{x+6}[/tex] ) = log([tex]\frac{1}{2}[/tex] ) , thus

[tex]\frac{x}{x+6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = x + 6 ( subtract x from both sides )

x = 6

Answer:

1 is comutative 2 is distributive 3 is addition and 4 is multiplication

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: 32 \: }}}}}}[/tex]

Answer:

[tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] will change

[tex]\angle ABC[/tex] equal [tex]\angle ADC[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

What happens when AC changes

(a) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are formed from points A and C. So, a change in AC will result to a change in the measures of [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex].

(b) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are in the same segment, meaning that they will always have the same measure

Answer:

axis of symm:  x = -1

vertex:  (-1, -4)

domain:  all real numbers

range:  y ≥ -4

x-intercepts:  1, 3

y-intercept:  -3

minimum at (-1, -4)

Step-by-step explanation:

A triangle with a 90° angle is called a right triangle.

Option B is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Acute triangle:

The angle is less than 90 degrees.

Right triangle:

The angle is 90 degrees.

Equilateral triangle:

All sides of the triangle are equal.

Isosceles triangle:

Two sides of the triangle are equal.

Thus,

A triangle with a 90° angle is called a right triangle.

Learn more about triangles here:

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Answer:

5

Step-by-step explanation:

2-5=5. Subscribe Single-3 FF on yt

The sample space of all possible pairs of marbles that can be drawn is:

{BB, BR, RB, RR, RR, RR}

It is the total number of possible outcomes from a given set.

We have,

The sample space is the set of all possible outcomes of the experiment.

In this case, we are drawing two marbles from a bag containing 2 blue and 5 red marbles, without replacement (meaning that we do not put the first marble back into the bag before drawing the second one).

The sample space consists of all possible pairs of marbles that can be drawn:

{BB, BR, RB, RR, RR, RR}

where BB means both marbles are blue, BR means the first marble is blue and the second is red, RB means the first marble is red and the second is blue, and RR means both marbles are red.

Note that there are two outcomes corresponding to drawing two red marbles because there are 5 red marbles in the bag.

Thus,

The sample space of all possible pairs of marbles that can be drawn is:

{BB, BR, RB, RR, RR, RR}

Learn more about sample space here:

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The  complete question:

In an experiment, a bag contains 2 blue marbles and 5 red marbles. Two marbles are drawn from the bag.

List the sample space.

Answer:

(7.5, 3)

Step-by-step explanation:

(5,5) and (10, 1)

Midpoint:

[tex](\frac{x1 + x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{5 + 10}{2} ,\frac{5+1}{2} )\\\\(\frac{15}{2} ,\frac{6}{2} )\\\\(7.5,3)[/tex]

Answer:

it should be (7.5,11.25)

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf b= \sqrt{192}}}[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use Pythagorean Theorem to find the sides.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

In this triangle, 8 and x are the legs because they form the right angle. 16 is the hypotenuse because it is opposite the right angle.

[tex]a=8 \\c=16[/tex]

Substitute the values into the formula.  

[tex]8^2+b^2=16^2[/tex]

Solve the exponents.

[tex]64+b^2=256[/tex]

Subtract 64 from both sides to isolate the variable.

[tex]64-64+b^2= 256-64 \\b^2=192[/tex]

Take the square root of both sides.

[tex]\sqrt {b^2}=\sqrt{192}\\ b=\sqrt{192}[/tex]

The missing side is equal to √192

Answer:

z = 1.5

Step-by-step explanation:

                               x - mean

standard score = -----------------

                                     6

Substituting 74 for x, 65 for mean, we get:

                               74 - 65

standard score = ----------------- = 9/6 = 1.5

                                     6

The pertinent z-score (standard score) is 1.5.

Answer:

Score = 74 - 65/6

Score = 9/6

Hence

Score is 9/6 or 1.5

[tex] \\ [/tex]

Answer:

neither

Step-by-step explanation:

he has read 3/6 of his book

Answer:

4x+3x+2x=180

9x=180

x=20

Answer:

slope = 9  

Step-by-step explanation:

To find the slope of a line that passes through a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (-7,-2) and (-6,7) into the formula and simplify:

[tex]m = \frac{(7)-(-2)}{(-6)-(-7)} \\m = \frac{7+2}{-6+7} \\m = \frac{9}{1} \\m = 9[/tex]

So, the slope is 9.

Answer:

[tex]5 \frac{5}{6} [/tex]

Step-by-step explanation:

[tex]3 \frac{1}{2} \times 1 \frac{2}{3} \\ = 5 \ \frac{5}{6} [/tex]

Convert the fractions to improper fractions.

3 1/2 = 7/2

1 2/3 = 5/3

7x5=35

2x3=6

35/6 or 5 5/6

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hope it helps

I think it is 8.6.. but I am not 100% sure

Step-by-step explanation:

Answer:

s = 3

Step-by-step explanation:

The volume formula for a cube is V = s^3, where “s” is the edge length. Since we know the volume and need to find “s,” we just do the inverse operation for an exponent, which is a radical. The cubed root of 27 is 3, so there’s your answer! Hope this is helpful & accurate. Best wishes.

Answer:

I cannot see the picture

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

9514 1404 393

Answer:

  15/28

Step-by-step explanation:

We can rearrange the problem a bit and make it a little simpler.

  1 2/7 - 3/4 = (1 -3/4) + 2/7 = 1/4 + 2/7

  = (7+4·2)/(4·7) = 15/28

_____

The sum of fractions can always be found by ...

  [tex]\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\\\\\dfrac{1}{4}+\dfrac{2}{7}=\dfrac{1\cdot7+4\cdot2}{4\cdot7}=\dfrac{7+8}{28}=\dfrac{15}{28}[/tex]

Answer:

-1(3x^2) +4x-7

Step-by-step explanation:

grouping

Answer:

-7x - 5

Step-by-step explanation:

Combine like terms.