A total of 525 records of a hospital were reviewed and 175 of the patients had a heart problem, 150 a respiratory problem, 125 some type of trauma and 75 had other issues. Find the following.



a. P(some type of trauma)



b. P(a heart or respiratory problem)



c. P(did not have a heart problem)

Answer:

1 bagel $3.5

1muffin $1.25

1ticket$9

1snack$2

Step-by-step explanation:

miffin(y)

bagel(x)

x+3y=7.25

x+2y=6

since x is similar in both equations you cancel it out

subtract this

3y=7.25

2y=6

question 8:ticket(x)

snack(y)

2x+3y=24×3

3x+4y=35×2

×3 and ×2 so we can eliminate the x

6x+9y=72

6x+8y=70

eliminate x

y=2

so snack is $2

2x+(3×2)=24

24-6=18

18÷2x=9

so a ticket is $9

Answer:

base = 3 units

height = 5 units

area = 1/2 x 3 x 5 = 7.5 square units

Answer:

[tex]b[/tex] = 3 units

[tex]h[/tex] = 5 units

[tex]a[/tex] = 7.5 units

Step-by-step explanation:

We can find the base of the figure by counting the number of units from the left to the right of the triangle. So, we can find that the base is 3 units.

The height of the figure can be found by counting how many units the figure measures from the tip to the bottom. The height, then, is 5 units.

The easiest way to find the area of a right triangle is to imagine it as a rectangle, with the same [tex]l[/tex] (length) and [tex]w[/tex] (width) dimensions, and then divide the area of the rectangle by two.

So, to find the area of this rectangle, multiply the length and width, 3 and 5, together.

3 · 5 = 15

Then, we can divide this product by two.

[tex]\frac{15}{2}[/tex] = 7.5

The area is 7.5 units².

Hope this helped :] Good luck!

Step-by-step explanation:

Hi,

y - 1 = 2 - x has a negative slope.

x + y = 0 has a negative slope.

y = 4x - 3 has a positive slope.

y = 1 has a 0 slope.

x = 10 has an undefined slope.

I hope this helps :)

Answer:

10

Step-by-step explanation:

2(6+1) - |-10| + 3*2

= 2 (7) - (+10) + 6

= 14 - 10 + 6

= 20 - 10

= 10

Answer: 10

Step-by-step explanation:

Given

2 ( 6 + 1 ) - | -10 | + 3 × 2

Expand parenthesis

= 12 + 2 - | -10| + 3 × 2

Simplify absolute value

= 12 + 2 - 10 + 3 × 2

Do multiplication

= 12 + 2 - 10 + 6

Simplify

= 14 - 4

= 10

Hope this helps!! :)

Please me know if you have any questions

Answer:

First left

Step-by-step explanation:

17/20 =  0.85   = 85/100 = 85%

Answer:

More than for the first box and less than for the second.

Answer:

lol

Step-by-step explanation:

Answer:

The answer is 16 for the blue dot

I'm think it's 16

Step-by-step explanation:

This is because it seems that it jumps from 0 to 4. So you add four to the number 4...

The secant of the angle A is 13/4

The given parameter is:

[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]

Using the trigonometry identity, we have:

[tex]\sec^2(A) = \tan^2(A) + 1[/tex]

This gives

[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]

Evaluate the exponent

[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]

Evaluate the sum

[tex]\sec^2(A) = \frac{169}{16}[/tex]

Take the square root of both sides

[tex]\sec(A) = \pm \frac{13}{4}[/tex]

Secant in quadrant IV is positive.

So, we have:

[tex]\sec(A) = \frac{13}{4}[/tex]

Hence, the secant of angle A is 13/4

Read more about trigonometry ratios at:

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835.71$

Step-by-step explanation:

is the answer just done it

Answer:

The answer is "3.51".

Step-by-step explanation:

[tex]\to t=\frac{\bar{x}-\bar{y}}{\sqrt{\frac{\sigma_x^2}{n_x}+\frac{\sigma_y^2}{n_y}}}\\\\[/tex]

      [tex]=\frac{960-945}{\sqrt{\frac{14^2}{20}+\frac{13^2}{20}}}\\\\=\frac{15}{\sqrt{\frac{196}{20}+\frac{169}{20}}}\\\\=\frac{15}{\sqrt{\frac{196+169}{20}}}\\=\frac{15}{\sqrt{\frac{365}{20}}}\\\\=\frac{15}{\sqrt{18.25}}\\\\=\frac{15}{4.27}\\\\=3.51[/tex]

Answer:

ΔABC ≅ ΔPQR

Step-by-step explanation:

therefore, AB has the same length as PQ

therefore, BC has the same length as QR

therefore, AC has the same length as PR

∡A = ∡P

∡B = ∡Q

∡C = ∡R

Answer:

Hi! The answer to your question is [tex]29[/tex]

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

can I see the third one, like can I see the full page because I can't see the rest

Answer: 72

Step-by-step explanation:

Set it up as a ratio

[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]

Answer:

Answer: b = 2A - B

Step-by-step explanation:

2. A = 2 . 1/2 . h (B + b)

2A = h (B+b)

2A/= h/h . (B+b)

2A/h = B+b

2A - B = B - +b

b = 2A - B

Answer:

its actually 65

Step-by-step explanation:

Answer: The volume is 1/12 cubic foot.

Step-by-step explanation:

V= l*w*h

V= 1 1/2* 1/6*1/3

V= 1/12

Answer:

Step-by-step explanation:

the concepts are confusing of what a function is.   f(x)  seems mysterious , huh

it's just a way to give a label to some set of terms.  Just think of it as a name of a person, but in a generic sense, like   hey "guy"   or hey "gal"  you can address many people that way.  f(x) is doing that same thing addressing by a name,  a set of math terms.  

a)  

in a)  we are addressing the g(x) function and we are also sending that function the number -2 as an input. so find the g(x) function and put in (-2) everywhere that there is an "x" , so

g(x)=[tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11

g(-2) = [tex](-2)^{3}[/tex]-3[tex](-2)^{2}[/tex]+2(-2)+11

g(-2) = -8 -3(4) - 4 +11

g(-2) = -8 -12 -4 + 11

g(-2) = -24 + 11

g(-2) = -13

b)  

h(-1)  find the h(x) function and input a negative 1 where ever there is an x

h(x) =

h(-1) = [tex](-1)^{2}[/tex] - 3

h(-1) = 1 - 3

h(-1) = -2

c)

for c)  just combine like terms of the two given functions

g(x) - h(x)  =  [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - ([tex]x^{2}[/tex] - 3)

g(x) - h(x)  = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - [tex]x^{2}[/tex] + 3

g(x) - h(x)  = [tex]x^{3}[/tex]-4[tex]x^{2}[/tex]+2x + 14

d)

-2f(x) - h(x) = -2(3x + 2) - ([tex]x^{2}[/tex] - 3)

-2f(x) - h(x) = -6x - 4 - [tex]x^{2}[/tex] + 3

-2f(x) - h(x) = -6x - 1 - [tex]x^{2}[/tex]

-2f(x) - h(x) = - [tex]x^{2}[/tex] - 6x - 1

e)

f(h(x))  this gets a bit more confusing b/c it's  a composition of functions,  that's just a fancy way of saying the functions are nested. one inside the other.

f(x) = 3x + 2

h(x) = [tex]x^{2}[/tex] - 3

plug h(x) in to f(x) where ever there is an x in f(x)   , luckily there is only one x in f(x)  :)

f(h(x)) = 3([tex]x^{2}[/tex] - 3) + 2

f(h(x)) = 3[tex]x^{2}[/tex] - 9 + 2

f(h(x)) = 3[tex]x^{2}[/tex] - 7

f(h(x)) = 3[tex]x^{2}[/tex] + 0x + (-7)  

f)

f(x) = 3x + 2

g(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11

f(g(x)) = 3([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11) + 2

f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 33 + 2

f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 35

Hope that helps :)

9514 1404 393

Answer:

Step-by-step explanation:

The original side length is 14 m, so the area is (14 m)² = 196 m².

The longer side length is 14 m + 5m = 19 m, so the area is (19 m)² = 361 m².

The increase in area is ...

  361 m² -196 m² = 165 m²

The area increases from 196 m² to 361 m², which is an increase of 165 m².

Answer:

The areas from 196 m² to 361 m², which is an increase of

165 m²

Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

Thus, (2x - 19)° + (3x + 4)° + 90° = 180°

=> 5x + 75 = 180

=> 5x = 105

=> x = 21

m∠A=> 2(21) -19 = 23°

the measure of angle in the right=> 3(21) + 4 = 67°

Answer:

Yes, Yes, No, Yes.

Step-by-step explanation:

2/5 as a decimal = 0.4

4 ÷ 0.4 = 10

1 is correct.

2 x 10 = 20

2 is correct.

6 x 10 = 60

3 is incorrect.

10 ÷ 2 = 5

4 is correct.

Answer:

The 5 represents how much money is left

Answer:

The remainder of the money(how much money is left)

Step-by-step explanation:

the remainder is 5. This means that he has $5/12 left.

Answer:

f(x)=39.59 (1.09)

Use the model to predict the home’s value.

After 12 years, the home’s value will be about $

111 thousand.

After 35 years, the home’s value will be about $

808 thousand.

Step-by-step explanation:

Edge 2021 :)

A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.

A function assigns the value of each element of one set to the other specific element of another set.

A general exponential equation is given as,

y = A(1+b)ˣ

Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,

38.9 = A(1+b)ˣ

A = 38.9

Therefore, the equation can now be written as,

y = 38.9(1+b)ˣ

Substitute the second point in the equation,

y = 38.9(1+b)ˣ

62.4 = 38.9(1+b)⁵

1.604113 = (1+b)⁵

1+b = 1.09912

b= 0.09

Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.

B.) Now the value of the house after 12 years,

y=38.9(1.09)ˣ

y=38.9(1.09)¹²

y = 109.41

The home’s value will be about $ 109.41 thousand.

C.) After 35 years, the home’s value will be,

y=38.9(1.09)ˣ

y=38.9(1.09)¹⁰⁰

y = 215.079.68

After 35 years, the home’s value will be about $215.079.68 thousand.

Learn more about Function:

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Answer:

the area of the trapezoid is 32

Step-by-step explanation:

a (base)2

b (Base)6

h (height)8

Answer:

Option c (7.8) is the correct alternative.

Step-by-step explanation:

The given points are:

(x₁, y₁) = (2, -3)

(x₂, y₂) = (-4, 2)

As we know,

The distance between two points will be:

= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

On substituting the values, we get

= [tex]\sqrt{(-4-2)^2+(2-(-3))^2}[/tex]

= [tex]\sqrt{(-4-2)^2+(2+3)^2}[/tex]

= [tex]\sqrt{(6)^2+(5)^2}[/tex]

= [tex]\sqrt{36+25}[/tex]

= [tex]\sqrt{61}[/tex]

= [tex]7.8 \ units[/tex]

Answer:

$324

Step-by-step explanation:

if

=> 1hr = $8

then,

=> 40.5 x 8 = 324

=> 40.5 hr = $324

She earned $324 this week.

hope this helps and is right :)

Answer:

$324

Step-by-step explanation:

So, First we have to establish what we are solving for, in this equation we are solving for how much money Katie made this week after working 40.5 hours at a salary of $8 per hour.

To find how much Katie made we have to multiply 40.5 and 8!

Let's make it easier by splitting 40.5 into 40 and 0.5

40 × 8 = 320

0.5 × 8 = 4

320 + 4 = 324

Katie made $324 this week!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

top right is an acute angle the top left is an obtuse angle and the bottom right is a right angle and I'm not to sure what the bottom right is

Answer:

Bottom right is a right

Step-by-step explanation:

and since it has no matching sides it would be a Isosceles