Consider a medical study that is being performed to test the effect of smoking on lung cancer. Two groups of subjects are identified; one group has lung cancer and the other one doesn't. Both are asked to fill out a questionnaire containing questions about their age, gender and occupation. What is the response variable

Answer:

5.5 hours, or 5 and 1/2 hours, or 5 hours and 30 minutes

Step-by-step explanation:

40/320=x/44

cross multiply

40(44)=320x

1760=320x

1760/320=x

5.5

Answer:

exact form: 98/15  decimal form: 6.53  mixed number form: 6 8/15

Step-by-step explanation:

hope this helped

Answer:

Its C

Step-by-step explanation:

Answer:

its number c

Step-by-step explanation:

Answer:

[tex] x = 30 [/tex]

Step-by-step explanation:

Given [tex] 2x, 3x, x [/tex], as the interior angles of the ∆, since sum of interior angles of ∆ = 180°, equation to solve for the value of x is given as:

[tex] 2x + 3x + x = 180 [/tex]

Combine like terms

[tex] 6x = 180 [/tex]

Apply the inverse operation of multiplication to solve for x. Since 6 is multiplying x = 6x, to get the value of x, the inverse operation of multiplication is division. Therefore, we would divide each side of the equation by 6.

[tex] \frac{6x}{6} = \frac{180}{6} [/tex]

[tex] x = 30 [/tex]

Answer:

$114.54

Step-by-step explanation:

In order to answer this question, we are going to have to do some multiplication :)

First, we will find out how much Maria got paid on Monday. In order to find this, we must multiply 5.1 hours by $9.20, so

5.1 * 9.20 = 46.92

We will be using this number a little later. Next, we have to find out how much Maria got paid on Tuesday, so we have to multiply 7.35 hours by $9.20, so

7.35 * 9.20 = 67.62

Now, we will combine the numbers:

67.62 + 46.92 = 114.54

Therefore, Maria earned $114.54 this week

Hope this helps :)

105.34 and you would first add the hours together so 5.1 + 7.35= 11.45 then you would multiple $9.20 X 11.45= 105.34

Answer:

27

Step-by-step explanation:

Given expression :  

    1 + 24 + ( + 3) = 1

Bring the number 1 to the left side of the equal sign. The positive 1 becomes negative 1 when brought towards the left side of the equal sign.

1 + 24 + ( + 3) - 1 = 0

Now, opening the bracket, we get

1 + 24  + 3 - 1 = 0

Negative 1 and positive 1 will get cancel

24  + 3  = 0

or 27

Therefore, the value of the numerical expression  1 + 24 + ( + 3) = 1 is 27.

Answer:

FV= $12,450

Step-by-step explanation:

Giving the following information:

David invests $10,000 in a savings account that pays 3.5% simple interest.

To calculate the future value, we need to use the following formula.

FV= PV*(1+i*n)

n= 7

i= 0.035

PV= 10,000

FV= 10,000*(1+0.035*7)

FV= $12,450

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

[tex] f(0) = 0 [/tex] (when x = 0, y = 0)

[tex] f(4) = 3 [/tex] (when x = 4, y = 3)

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = 0, f(a) = 0 [/tex]

[tex] b = 4, f(b) = 3 [/tex]

Plug in the values into the formula for average rate of change.

[tex] = \frac{3 - 0}{4 - 0} [/tex]

[tex] = \frac{3}{4} [/tex]

Average rate of change [tex] = \frac{3}{4} [/tex]

Answer:

9466.8

Step-by-step explanation:

stop deleting my answer ima roast you fuggin

Answer:

Step-by-step explanation:

To find the original price given the new price and percentage discount we use the formula

[tex]original \: \: price = \frac{100}{(100 - x)} \times new \: \: price \\ [/tex]

where

x is the percentage discount

From the question

new price = $ 84

% discount = 30%

Substitute the values into the above formula and solve

That's

[tex]original \: \: price = \frac{100}{100 - 30} \times 84 \\ = \frac{100}{70} \times 84 \\ = \frac{10}{7} \times 84 \\ = 12 \times 10[/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

84*0.30= $25.2

84+ 25.2 = $109.2

Answer:

Equation is [tex]8M + 7P = 131[/tex]

[tex]M = \$12[/tex]

Step-by-step explanation:

Given

Jason: 6 Movies and 4 popcorn

Michael: 2 Movies and 3 Popcorn

1 Popcorn = $5

Total = $131

Required

- Write an equation to solve

Represent Movie with M and Popcorn with P

For Jason, we have:

6M + 4P

For Michael, we have:

2M + 3P

Add these parameters together

Jason + Michael = $131

[tex]6M + 4P + 2M + 3P = 131[/tex]

Collect Like Terms

[tex]6M + 2M+ 4P + 3P = 131[/tex]

[tex]8M + 7P = 131[/tex]

Hence the equation is [tex]8M + 7P = 131[/tex]

From the question, we have that

[tex]P = \$5[/tex]

Substitute 5 for P

[tex]8M + 7 * 5 = 131[/tex]

[tex]8M + 35 = 131[/tex]

Solve for M

[tex]8M = 131 -35[/tex]

[tex]8M = 96[/tex]

[tex]M = \frac{96}{8}[/tex]

[tex]M = \$12[/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Raina has a fabric of area 7912 centimetre square find the largest square that can be cut from it how much piece will be left

Area of fabric = 7912 cm²

Largest square that can be cut from it :

Taking the square root of 7912

Sqrt(7912) = 88.94 cm

Hence, it can be deduced that the largest square tht can be cut from it will be 88cm

From area of a square = a²

Where area is the length of the side (since all sides are equal)

a² = 88² = 7744cm²

Hence, area left = (7912 - 7744) cm² = 168 cm²

Answer:

A

Step-by-step explanation:

22:32

when you get it into the decimal form the value is greater than the value of 11/16

hope this helps please mark me as brainliest !!

Answer:

Step-by-step explanation:

4,05 × 10⁻⁷ =  405/10²  ˣ  1/10⁷ = 405/10⁹

Answer:

5

Step-by-step explanation:

1. subtract 45 from both sides 55 = 11s

2. Divide by 11 on both sides  [tex]\frac{55}{11} =\frac{11s}{11}[/tex]

3. And now you have 5 = s

Ur welcome plz sub to lolyavko on yt. :)

Answer:

[tex] \boxed{ \bold{ \huge{ \tt{ \sqrt{173 \:}} \: units}}} [/tex]

Step-by-step explanation:

[tex] \star{ \tt{ \: \: Let \: the \: points \: be \: A \: and \: B}}[/tex]

[tex] \star{ \tt{ \: Let \: A ( 5 , 1 ) \: be \: ( x1 ,\: y1

) \: and \: B ( -8 , 3 ) \: be \: ( x2 , y2 )}}

[/tex]

[tex] \sf{ \underline{ finding \: the \: distance \: between \: these \: points}}[/tex]

[tex] \boxed{ \underline{ \underline{ \tt{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}[/tex]

[tex] \hookrightarrow{ \tt{ \sqrt{ {( - 8 - 5)}^{2} + {(3 - 1)}^{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ \sqrt{ {( - 13)}^{2} + {(2)}^{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ \sqrt{169 + 4}}} [/tex]

[tex] \hookrightarrow{ \boxed{ \tt{ \sqrt{173} \: \: units}}}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

Step-by-step explanation:

(x₁ , y₁) = (5 , 1)    & (x₂ , y₂) = (-8 , 3)

[tex]Distance = \sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2}}\\\\ =\sqrt{(-8-5)^{2}+(3-1)^{2}}\\\\=\sqrt{-13)^{2}+2^{2}}\\\\=\sqrt{169+4}\\\\=\sqrt{173}units[/tex]

Answer:

17, no remainders.

Step-by-step explanation:

Answer:

its (2,4)

Step-by-step explanation:

Answer:

A is spanned by vector.

Step-by-step explanation:

The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.

The solutions of the quadratic equation are 3  ± √ -49.

A quadratic equation is what can be written in the form of ax²+bx+c=0.

The quadratic equation is,

x² - 6x = -58

The equation can be written as,

x² - 6x +58 = 0

Now it is in the form of the standard equation.

To determine the solutions of the quadratic equations, the formula used is

x = ( -b ± √ (b² -4ac)) / 2a

The value of a = 1

The value of b = -6

The value of c = 58

Putting the values in the formula.

x = ( 6 ± √ ((-6)² -4 * 1 * (58))) / 2 * 1

x = ( 6 ± √ (36 -232) / 2

x = ( 6 ± √ (-196) / 2

x = 3  ± √ -49

This can be written as complex numbers

i = √-1

x = 3  ± 7i

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Answer

True!

Step-by-step explanation:

If the number is negative it's further away from 0.

Answer:

AC=48

Step-by-step explanation:

Since B marks the middle of A and C and AB is 24, you would need to multiply that length by two to find AC.

Answer: or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.

Step-by-step explanation:

Answer:

f(5×)-7=2

Step-by-step explanation:

5×-7=2

7f(×)=2

Answer:

[tex]x=120^o[/tex]

in order: 60, 60, 120, 120  (all of them in degrees)

Step-by-step explanation:

We need to add all four angles given (I'll use 0.5 instead of 1/2 to make the addition easier to type):

0.5 x + 0.5 x + x + x = 360

3 x = 360

x = 360/3 = 120

Therefore,  [tex]x=120^o[/tex]

now the angles are:

two of them are 1/2 of x, that is: 120/2 = 60

Then smallest angles are: [tex]60^o \,\,\,and \,\,\,60^o[/tex]

the largest are directly equal to "x", that is: [tex]120^o\,\,\,and \,\,\,120^o[/tex]

Answer:

x=4

Step-by-step explanation:

the sum of 18 and a number x

that's just 18+x

is equal to 22

that means that something=22

=22

put all together

[tex]18+x=22\\\\18-18+x=22-18\\\\x=4[/tex]

The required value of x is 4.

Assume that the number we're looking for is represented by 'x'. According to the problem,

The sum of 18 and x is equal to 22.

We can write this as an equation: 18 + x = 22.

To solve for x,

Isolate it on one side of the equation.

We can do this by subtracting 18 from both sides:

18 + x - 18 = 22 - 18.

This simplifies to,

x = 4.

Therefore, the value of x that satisfies the equation is 4.

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Answer:

x=1.4

Step-by-step explanation:

Write the equation

[tex]\frac{5.6}{x} =4[/tex]

Multiply both sides by x

[tex]5.6=4x[/tex]

Divide both sides by 4

[tex]1.4=x[/tex]

Hope this helps! Plz award Brainliest : )

The value of x is 1.4 when z = 4.0 and y = 5.6.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given the equation as:

z = y/x

z = 4.0 and y = 5.6

To determine the value of x

⇒ z = y/x

Multiply by x on both sides

⇒ xz = y

Substitute the values z = 4.0 and y = 5.6

⇒ x(4) =(5.6)

Divide both sides by 4

⇒ x = (5.6)/(4)

⇒ x = 1.4

Hence, the value of x is 1.4 when z = 4.0 and y = 5.6.

Learn more about Arithmetic operations here:

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Answer:

52:49

Step-by-step explanation:

pink:green

The ratio of pink to green marbles is

3k:4k

He removes 5 green marbles and adds 8 pink marbles.

Now the ratio of pink to green marbles is

(3k + 8):(4k - 5)

This rario is equal to 29:23.

(3k + 8)/(4k - 5) = 29/23

29(4k - 5) = 23(3k + 8)

116k - 145 = 69k + 184

47k = 329

k = 7

Original amounts:

3 * k = 3 * 7 = 21 pink

4 * k = 4 * 7 = 28 green

Original total = 21 + 28 = 49

Amounts after replacement:

3k + 8 = 3(7) + 8 = 29 pink

4k - 5 = 4(7) - 5 = 23 green

Total after replacement = 23 + 29 = 52

Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.

Answer:

29.5 cm^2

Step-by-step explanation:

The diameter is 10 so the radius is 10/2 = 5

The area of the square is

A = s^2 = 7^2 = 49

The area of the circle is

A = pi r^2 = 3.14 * 5^2 =78.5

Subtract the area of the square from the area of the circle

78.5-49 =29.5

Answer:29.5

Step-by-step explanation:

The diameter is 10 so the radius is 10/2 = 5

The area of the square is

A = s^2 = 7^2 = 49

The area of the circle is

A = pi r^2 = 3.14 * 5^2 =78.5

Subtract the area of the square from the area of the circle

l78.5-49 =29.5 thats all

Hey!

-36 divided -6 is 6.........