Tell whether the angles are adjacent or vertical. Then find the value of x.

Answer:

a) 65%

b) 28.57%

Step-by-step explanation:

Suppose that 35% of all patients admitted to a hospital's

intensive care unit have high blood pressure, 42% have some sort of infection, and 12% have both problems. Probabilities estimated from the data in ICU Admissions. (10POINTS)

 (a)  Find the probability that a randomly chosen patient in this ICU has either high blood pressure or an infection.

 (b)  Find the probability that a patient admitted to the ICU has high blood pressure given that an infection is present.

Solution:

Let H represent the people with high blood pressure and I represent the people with infection.

P(H) = 35% = 0.35, P(I) = 42% = 0.42, P(H ∩ I) = 12% = 0.12

Those with only high blood pressure = P(H ∩ I') = P(H) - P(H ∩ I) = 0.35 - 0.12 =0.23

Those with only infection = P(H' ∩ I) = P(I) - P(H ∩ I) = 0.42 - 0.12 =0.30

a) probability that a  patient has either high blood pressure or an infection = P(H ∪ I)

P(H ∪ I) = P(H ∩ I') + P(H' ∩ I) + P(H ∩ I) = 0.23 + 0.3 + 0.12 = 0.65 = 65%

b) probability that a patient has high blood pressure given that an infection is present = P(H / I)

P(H / I) = P(H ∩ I) / P(I) = 0.12 / 0.42 = 0.2857 = 28.57%

Answer:

He got 5 questions wrong so he scored a 75%

Step-by-step explanation:

I hope this helps :)

Answer:

15 questions correct

Step-by-step explanation:

So you know that Diego took a 20 question quiz and got 75% on it so you have to find 75% of 20. 75% is also 3/4, so 3/4x20=60/4=15.  Therefore, he got 15 questions correct.

Hope this helps

54 13/36 hope this helps

Answer:

14.424778

Step-by-step explanation:

3)(3.141593)+5

=9.424778+5

=14.424778

Answer:

Where are the statments

Step-by-step explanation:

Answer:

10^22

Step-by-step explanation:

Answer:

sure is = 9023000000

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

12×5=60 60÷1/2=30

srry if I was wrong

12×5=60 60÷1/2=30 i hope it's right!! :)

41=x/11

x=41×11

= 451

so the answer is 451

hope it hekps

Answer:

x=451

Step-by-step explanation:

41= x /11

(41)*(11)=( x /11 )*(11)

451=x

Answer: DM, M, CM

Step-by-step explanation:

Answer:

Meters

Step-by-step explanation:

Meters are 100 times bigger than centimeters and 1000 times larger than a millimeter.

Answer:

y = -1/2x + 5

Step-by-step explanation:

Find slope:

change in y/change in x

(2-3)/(6-4)

-1/2 = m

Use point-slope form:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, let's use (4,3)

y - 3 = -1/2(x - 4)

Point-intercept form:

Expand y - 3 = -1/2(x - 4) to get point-slope form:

y = -1/2x + 5

Hope this helps!! :)

Answer:

im pretty sure its b

Step-by-step explanation:

bc 5 would be equal to or less than x bc the dot is on 5

Answer: It's either B or D

Step-by-step explanation: You might be forgetting to show something but  based on where the dot is placed its either b or d.

Answer:

[tex]y = x + 3[/tex]

Step-by-step explanation:

Y in math is usually referred as the output.

X is usually the input.

In other words,

y is 3 more greater than x.

In other words,

[tex]y = x + 3[/tex]

Answer:

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

x= 2t and y= -|2t| / x= t + 4 and y= -|t + 4|. I got in right on edg

Answer:

3,5

Step-by-step explanation:

did the assignment

Answer:

this triangle would either be acute triangle or not a triangle. I'm not sure which one of those two. sorry.

Answer:

Step-by-step explanation:

Since a^2+b^2>c^2 this is an obtuse triangle.

64+144>196

Answer:

47*

Step-by-step explanation:

Using the vertical angle rule, I can get CBD as 47*

Answer:

660 people

Step-by-step explanation:

48% people prefer thick pizza

1 375 people x 48% = 660

Mandy's Maid service charges are more for cleaning one office.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Miranda's Maid Service charges $280 to clean 8 offices.

∴ The cost of cleaning one office is $(280/8) = $35.

Also given Mandy's Maid service charges $248.50 to clean 7 offices.

∴ The cost of cleaning one office is $(248.50/7) = $35.5

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Answer:

la variable que se debe ingresar en el programa corresponde a: c. edad

Step-by-step explanation:

Las variables cuantitativas son aquellas que toman valores numéricos y se clasifican en variables cuantitativas discretas que son las que sólo pueden asumir un número limitado de valores en un determinado rango, como por ejemplo, el número de carros que posee una persona y variables cuantitativas continuas que pueden tomar cualquier valor en un rango específico, como por ejemplo, el peso de un objeto. De acuerdo a estas definiciones, la respuesta es que la variable que se debe ingresar en el programa corresponde a: edad porque es una variable discreta dado que se registra en números enteros y no acepta cualquier valor en un intervalo específico.

Las otras opciones no son correctas porque la nacionalidad y el nivel de escolaridad no son variables cuantitativas y la altura es una variable cuantitativa continua.

Answer:

X = 149

Step-by-step explanation:

A full circle is 360 degrees

Add 160+51=211

360-211=149

Answer:

x = 58

Step-by-step explanation:

The secant- tangent angle is half the difference of the intercepted arcs , then

[tex]\frac{1}{2}[/tex] (160 - x) = 51 ( multiply both sides by 2 )

160 - x = 102 ( subtract 160 from both sides )

- x = - 58 ( multiply both sides by - 1 )

x = 58

Answer:

29

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

-24 < x - 3 - 8x

-24 < -7x - 3

-24 + 3 = -21

-7x - 3 + 3 = -7x

-21 = -7x

-21 / -7 = 3

-7x / -7 = x

3 = x

Answer:

y = 2x - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 and c = - [tex]\frac{3}{4}[/tex] , then

y = 2x - [tex]\frac{3}{4}[/tex] ← equation of line

Answer: [tex]y=2x-\frac{3}{4}[/tex]

Step-by-step explanation:

We are going to have to put this into slope-intercept form

"y=mx+b"

m=slope

b=y-intercept

slope=2

y-intercept= [tex]-\frac{3}{4}[/tex]

Now we can put it all together, and remember the will always stay in the equation as it does not stand for anything.

[tex]y=2x-\frac{3}{4}[/tex]

Answer:

m = 8

k = 7

Step-by-step explanation:

Remark

Unless this really is a parallelogram, it is not (easily) solvable. I think you likely intend it to be a parallelogram, so it has an easy solution. The diagonals bisect each other.

So m = 8   because the intersect point of the diagonal and the second one makes the two parts equal.

k + 4 = 11        Subtract 4 from both sides.

   -4    -4

  k = 7

Answer:

the prime number is 2. very simple

Answer:

2

Step-by-step explanation:

any whole number x any whole number cant be 2

Answer:

3,240

Step-by-step explanation:

The computation of the population of rabbits in the year 2003 is shown below:

Given that

In the year 1995, the population of the rabbits was 1000

And, in 1999 the population of the rabbits grown to 1,800

So there is an increase of

= (1800 - 1000) ÷ 1000

= 80%

So for 2003, the population of the rabbits is

= 1800 + (1800 × 0.80)

= 3,240

Given:

The population of rabbits on an island is growing exponentially.

In the year 1995, the population of rabbits was 1000, and by 1999 the population had grown to 1800.

To find:

Expected population of rabbits in the year 2003, to the nearest whole number.

Solution:

The exponential growth model is:

[tex]y=ab^t[/tex]

Where, a is the initial value, b is the growth factor, t is the number of years.

Let y be the population of rabbits t years after 1995.

In the year 1995, the population of rabbits was 1000, it can be written as (0,1000) and by 1999 the population had grown to 1800, it can be written as (4,1800).

For (0,1000),

[tex]1000=ab^0[/tex]

[tex]1000=a(1)[/tex]

[tex]1000=a[/tex]

For (4,1800) and a=1000, we get

[tex]1800=1000b^4[/tex]

[tex]\dfrac{1800}{1000}=b^4[/tex]

[tex]1.8=b^4[/tex]

[tex](1.8)^{\frac{1}{4}}=b[/tex]

[tex]b\approx 1.1583[/tex]

The required exponential model is:

[tex]y=1000(1.1583)^t[/tex]         ...(i)

in year 2003, the number of years since 1995 is 8.

Putting t=8 in (i), we get

[tex]y=1000(1.1583)^8[/tex]

[tex]y=3240.1748[/tex]

[tex]y\approx 3240[/tex]

Therefore, the population of rabbits in the year 2003 is 3240.

Answer:

i hope you do too

Step-by-step explanation:

a fidget spinner? HJBDH

Answer:

2(2x-4)=3(x+4)

4x-8=3x+12

4x-3x=12+8

x=20

The coordinates of point B are located at -5 on the number line, and Point A is located at -8 on the number line. The reflection of point A on the number line is the coordinates of point E.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.

According to the given number line,

The coordinates of point B are located at -5 on the number line, and Point A is located at -8 on the number line. The reflection of point A on the number line is the coordinates of point E.

Thus, Point B is at -5 on the number line, whereas Point A is at -8 on the number line. Point E is the number line's reflection of point A.

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