In an inductive generalization, in order to achieve an error margin of plus or minus 3 percentage points at a confidence level of about 95 percent, whats the smallest random sample we can get away with, regardless of the size of the target population

Answers

Answer 1

Let n = required random sample size.

Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.

Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²

This means that the sample size is about 128 times the population variance.

Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.

Related Questions

Amy is doing a science experiment on how a certain bacterium reacts to an antibiotic. She has 3 dishes of identical bacterium samples with 17 bacteria in each dish. She gives an antibiotic to all of the bacteria in one dish. All of the treated bacteria died, and the bacteria in the other two dishes survived. Is there a sampling bias in the situation above? A. There is not enough information. B. Yes. The antibiotic may not work on the other bacteria. C. Yes. The bacteria in the other 2 dishes are different than the treated bacteria. D. No. All 3 dishes are filled with the same number of identical bacteria.

Answers

I think C or A is the answer

I need help badly please help !!

Answers

Probability of green die being even: 3/6, which simplifies to 1/2 (2, 4, 6 are even and 1, 3, 5 are odd)

Probability of blue die being even: 3/6, which simplifies to 1/2.

Compound probability:
1/2* 1/2= 1/4

Final answer: 1/4

The points L(10,9) M(10,-5) N(-1,-5) and O(-1,9) form rectangle L M N O Which point is halfway between O and N.

A.) (-1,0)
B.) (-1,7)
C.) (-1,2)
D.) (2,-1)

Answers

Answer:

C.) (-1, 2)

Step-by-step explanation:

You can plot the points on a graph, or you can just find the midpoint:

midpoint = (O + N)/2 = ((-1, 9) +(-1, -5))/2 = (-1-1, 9-5)/2 = (-2, 4)/2

midpoint = (-1, 2)

Convert r =-72/12+6 sin theta to Cartesian form.

Answers

For converting polar to cartesian form we know
[tex]r = \sqrt{x^2 + y^2} [/tex]
[tex]x = rcos \theta , y = rsin \theta[/tex]

Given equation is

[tex]r = \frac{-72}{12} + 6sin \theta [/tex]

We can simplify it as
[tex]r = -6 + 6sin \theta[/tex]

Now we can write it as
[tex]r^2 = -6r + 6rsin \theta[/tex]

Now we can use
[tex]r^2 = x^ 2+ y^2 , rsin \theta = y , r = \sqrt{x^2 + y^2} [/tex]
So equation we can write it as
[tex]x^2 + y^2 = -6 \sqrt{x^2 + y^2} + 6y [/tex]
[tex]x^2 + y^2 - 6y = -6 \sqrt{x^2 + y^2} [/tex]
On squaring both sides
[tex](x^2 + y^2 - 6y)^2 = (-6 \sqrt{x^2 + y^2})^2 [/tex]
[tex]x^4 + y^4 + 36y^2 +2x^2y^2 -12y^3 -12x^2y = 36(x^2 + y^2)[/tex]
[tex]x^4 + y^4 +36y^2 + 2x^2y^2 -12y^3 -12x^2y = 36x^2 + 36y^2[/tex]
[tex]x^4 + y^4 + 36y^2 +2x^2y^2 -12y^3-12x^2y - 36x^2 - 36y^2 = 0[/tex]
[tex]x^4 + y^4 -12y^3 + 2x^2y^2 - 12x^2y - 36x^2 = 0[/tex]

Answer:

The answer is b. [tex]4x^2+3y^2-24y-144=0[/tex]

Step-by-step explanation:

The equation is:

[tex]r=\frac{-72}{12+6\sin(\theta)}[/tex]

Cross multiply;:

[tex]r(12+6\sin(\theta)=-72[/tex]

Expand;:

[tex]12r+6r\sin(\theta)=-72[/tex]

Divide through by 6;:

[tex]2r+r\sin(\theta)=-12[/tex]

[tex]2r=-12-r\sin(\theta)[/tex]

Substitute;:

[tex]y=r\sin(\theta), r=\sqrt{x^2+y^2}[/tex]

[tex]2\sqrt{x^2+y^2}=-12-y[/tex]

Square both sides;:

[tex](2\sqrt{x^2+y^2})^2=(-12-y)^2[/tex]

[tex]4(x^2+y^2)=144+24y+y^2[/tex]

[tex]4x^2+4y^2=144+24y+y^2[/tex]

Simplify;:

[tex]4x^2+3y^2-24y-144=0[/tex]

Quadrilateral STWR is inscribed inside a circle as shown below. Write a proof showing that angles T and R are supplementary. Circle Q is shown with an inscribed quadrilateral labeled RSTW.

Answers

Consider the figure attached.

Let m(R)=α degrees and m(T)=β degrees.

1.
Angle R, is an inscribed angle, intercepting the arc WTS.
This means that the measure of the arc WTS is double the measure of the angle R,

so m(arc WTS) = 2α degrees.

2.
Similarly,

Angle T, is an inscribed angle, intercepting the arc WRS. So

m(arc WRS) = 2β degrees.

3.
m(arc WTS)+m(arc WRS)=360° since these arcs cover the whole circle.

thus

2α+2β=360°

divide by 2:

α+β=180°

this means T and R are supplementary angles.

Answer:

Step-by-step explanation:

Arc STR measures twice the measure of angle R, and arc WRS measures twice the measure of angle T.

STR = 2 x ∠R and WRS = 2 x ∠T --- This is because of the Inscribed Angle Theorem

If the measure of arcs STR and WRS are added together, the total would be 360° since a full circle is made up of 360°.

So mSTR + mWRS = 360°

Substituting the angle measures of R and T in for the arcs, the equation becomes:

2 • ∠R + 2 • ∠T = 360°

Simplifying further:

2 • [∠R + ∠T] = 360°

∠R + ∠T = 360° / 2

∠R + ∠T = 180° - This proves that opposite angles of a quadrilateral inscribed in a circle are supplementary.

The difference between the squares of two numbers is 7. four times the square of the first number increased by the square of the second number is 73. find the numbers.

Answers

let a = x^2 and b=y^2
a-b=7
4a+b=73
4(7+b)+b=73 5b=45 b=9
a=7+b = 7+9 = 16
Then
x^2=16, x=+-4
y^2=9, y=+-3

The difference between the squares of two numbers is 7. Four times the square of the first number increased by the square of the second number is 73. By formulating this information into equations, the numbers, thus, obtained are 3 and 4 or -3 and -4.

An equation is a combination of numbers, variables, functions, mathematical operations, etc. in a meaningful way. The equation comprises two or more expressions separated by the equality sign(=), indicating the equivalency.

Let the numbers be x and y, then according to the question,

[tex]x^2 - y^2 = 7[/tex] ...(i)

[tex]4x^2 + y^2 = 73[/tex] ...(ii)

Add both equations,

[tex](x^2 - y^2) + (4x^2 + y^2) = 7 + 73\\(x^2 + 4x^2) + (-y^2 +y^2) = 80\\5x^2 = 80\\x^2 = 16\\x = \pm4[/tex]

Put x = 4 in equation (i),

[tex]4^2 - y^2 = 7\\16 - y^2 = 7\\y^2 = 16-7\\y^2 = 9\\y = \pm3[/tex]

So, the numbers are 3 and 4 or -3 and -4.

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a vendor has learned that, by pricing pretzels at $1.50 sales will reach 91 pretzels per day. raising the price to $2.25 will cause the sales to fall to 58 pretzels per day. Let y be the number of pretzels the vendor sells at x dollars each. Write a linear equation that models the number of pretzels sold per day when the price is x dollars each

Answers

The givens can be expressed as the abscissa and ordinate of two points. The first point is (1.5, 91). The second point would then have the coordinates of (2.25, 58)
We are given with two points so we can derive the equation using the two-point form.
That is,
y – y1 = ((y2 – y1)/(x2 – x1))(x – x1)

We may choose which among our derived coordinates will be 1 and 2. Substituting to the equation,
y – 91 = ((58 – 91)/(2.25 – 1.5))(x – 1.5)
y – 91 = -44(x – 1.5)
Simplifying further,
y – 91 = -44x + 66

y = -44x + 157

Thus, the equation above gives the number of pretzels that can be sold given the price.

To model the number of pretzels sold per day as a function of the price in dollars using a linear equation, calculate the slope of the line using two known points, and then use the slope and one point to find the y-intercept. The resulting linear equation is y = -44x + 157, where y represents the number of pretzels sold and x represents the price in dollars.

To write a linear equation that models the number of pretzels sold per day when the price is x dollars each, we can start with two given points that represent the sales and price data: (1.50, 91) and (2.25, 58).

Using these points, we can first find the slope of the demand line.

The formula for slope (m) is:

m = (y2 - y1) / (x2 - x1)

Plugging in our values, we get:

m = (58 - 91) / (2.25 - 1.50) = (-33) / (0.75) = -44

The slope of the demand function is -44. This means that for each dollar increase in price, 44 fewer pretzels are sold.

Next, we use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. To find the y-intercept, we can use one of the given points. Let's use (1.50, 91).

91 = (-44)(1.50) + b
b = 91 + 66
b = 157

The y-intercept, b, is 157. Knowing both m and b, we can now write the equation of the line:

y = -44x + 157

This equation models the number of pretzels sold, y, at a price of x dollars each.

is okay you lease a car at $415 per month for 4 years estimate the total cost of the least

Answers

There are 12 mo per year. So 4 years =48 mo. So at $415/mo x 48=$19,920.

The total cost of the least is $19,920.

Here,

lease a car at $415 per month for 4 years.

We have to find the total cost of the least.

What is Multiplication?

Multiplication is the process of calculating the total of one number multiplied by another.

Now,

lease a car at $415 per month for 4 years.

1 years = 12 month

4 years = 4 x 12 = 48 months.

Hence, total cost of the least = $415 x 48

= $19,920

So, The total cost of the least is $19,920.

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This only has one solution and I needz some halp with this. f - 6 = f + 8

Answers

Subtracting f from both sides, we get -6=8, which isn't possible - there is no solution

SOLUTION:

f - 6 = f + 8

f - f = 8 + 6

0f = 14

Therefore, since this equation is incorrect, there is no solution to thos equation.

Hope this helps! :)

martha and mary had 375 jelly beans in all. after mary ate 24 jelly beans and martha ate 1/7 of her jelly beans, they each had the same number of jelly beans left. how many jelly beans did each girl have at first?

Answers

Start by setting up two equations

Let x = number of beans with Martha
Let y = number of beans with Mary

Since total beans is 375,
x + y = 375

Mary ate 24 beans, after this she must be having x - 24 beans
Similarly after eating 1/7y beans, mary must be having y - y/7 beans
Setting them equal to each other
x - 24 = y - y/7

Solving both equations gives x = 186, y = 189

A bag contains 6 poker chips, one is red and the other 5 are blue. you and a friend take turns selecting a chip at random from the bag. the first person to get the red chip is the winner. find the probability that you win if you go first and

Answers

the probability of pulling the red chip if you go first is 1/6

first it's 1/6
second = 1/5
Third= 1/4
fourth= 1/3
Fifth = 1/2
And sixth is guaranteed

Final answer:

The probability that you win if you go first is calculated as a sum of an infinite geometric series considering the odds of drawing the red chip in the first or subsequent rounds and is found to be 1/2.

Explanation:

The probability that you win the game if you go first can be found by considering the possibilities of either drawing the red chip on your first turn or on subsequent turns after both you and your friend did not draw the red chip in the previous rounds. In the first round, you have a 1/6 chance of picking the red chip and winning immediately. If you don't draw the red chip, then your friend has a 1/5 chance of drawing it on their first turn, assuming you drew a blue chip.

If both of you fail to draw the red chip on the first turn, the situation repeats with you having another chance to win with the same odds as your first turn. Since this can go on indefinitely, the probability of you winning can be expressed as a geometric series:

P(you win) = 1/6 + (5/6)(4/5)(1/6) + (5/6)^2(4/5)^2(1/6) + ...

This series can be summed up using the formula for the sum of an infinite geometric series a/(1-r), where a is the first term of the series (1/6 in this case), and r is the common ratio ((5/6)(4/5)). The common ratio can be simplified to (4/6) or (2/3), and the sum of the series gives us the final probability. Therefore, the probability that you win the game if you go first is:

P(you win) = 1/6 / (1 - (2/3)) = 1/6 / (1/3) = 1/2.

Which graph represents the solutions to the inequality |2x − 4| less than or equal to 14?
A)number line with an open circle on negative 5, shading to the right and an open circle on 9, shading to the left
B) number line with a closed circle on negative 5, shading to the right and a closed circle on 9, shading to the left
C) number line with an open circle on negative 5, shading to the left and an open circle on 9, shading to the right
D) number line with a closed circle on negative 5, shading to the left and a closed circle on 9, shading to the right

Answers

The graph that represents the solutions to the inequality |2x − 4| less than or equal to 14 or |2x - 4| ≤ 14 is a number line with a closed circle on negative 5, shading to the right and a closed circle on 9, shading to the left. The answer is letter B. The less than or equal to symbol or '≤' represents that all integers less than or equal to 9 are all solutions to the given inequality.

Find the volume of this figure to the nearest whole number. Use 3.14 for pi. Please help me!!

Answers

volume of square middle = 12 x 12 x 7 = 1008

if you put the 2 ends together it would be a cylinder so volume for that is:

3.14 x 6^2 x 7 = 791.28

1008 + 791.28 = 1799.28 round it off to 1800 mm^3

So D is the correct answer

Answer:

4th option is correct.

Step-by-step explanation:

Here in the given image, we can see that there can be 2 figures if separated. A cuboid with dimensions 12*12*7 and a cylinder with radius as 6 mm and height as 7 mm.

We will first find the volume of cuboid.

V = [tex]12\times12\times7[/tex] = 1008 cubic mm

Now, volume of cylinder is given as : [tex]\pi r^{2} h[/tex]

[tex]3.14\times6^{2}\times7[/tex] = 791.28 cubic mm

Now adding both the volumes to get the volume of complete figure:

V = [tex]1008+791.28=1799.28[/tex] cubic mm

Now this value is closest to option 4th : 1800 cubic mm.

Therefore, last option is true.

Which one of the following pairs of terms is composed of like terms? A. 2a, 2b B. –3x, +3y C. abc, cab D. 4mn, 3my

Answers

C. abc, cab...keep in mind the commutative property...u can move things around and it will not change the end result....abc = cab = bca = bac = cba...

Answer:

Option C

Step-by-step explanation:

We have to find the pair of terms composed of like terms.

(A) 2a, 2b Unlike terms

(B) -3x, +3y Unlike terms

As we know cumulative property of multiplication shows a×(b×c) = (a×b)c

Therefore, both the terms abc and cab are similar.

(D) 4mn, 3my Unlike terms

Option C is the answer.

What is the slope of a trend line that passes through the points (–3, 3) and (18, 26)?

Answers

Use can you slope formula:

[tex] \frac{Y_2 - Y_1 }{X_2 - X_1} [/tex]

Then, substitute values into the formula.

[tex] \frac{26 - 3}{18 - (-3)} [/tex]

Then solve. You get the fraction, [tex] \frac{23}{21} [/tex]. That is your slope.

Answer:

C.) 23/21

Step-by-step explanation:

just took the test on edge

A company that packages cold cuts needs to transport the packaged meat to the supermarket.it will cost $1,200 to rent a truck,and it will cost an additional $100 for every 50 pounds transported.which equation represents the transport cost for every 50 pounds if cold cuts transported? The options are
A) y=1,200-100x
B) y= 1,200+100x
C) y=1,200x +100
D) y=100x-1,200

Answers

it to calculate the cost of $100 for every 50lbs, you would use 100x

then you need to add that to the 1200

so the equation would be y = 1200+100x

B is the correct answer

Melissa is making clothes for her dolls. She has 78 yard of fabric. Each style shirt requires 2/7 of a yard of fabric. How many shirts can she make for her dolls?

Answers

[tex]\bf 78 \div \cfrac{2}{7}\implies \cfrac{78}{1}\div \cfrac{2}{7}\implies \cfrac{78}{1}\cdot \cfrac{7}{2}\implies \cfrac{78\cdot 7}{1\cdot 2}\implies \cfrac{273}{1}\implies 273[/tex]

A ship traveled at an average rate of 22 miles per hour going west. It then traveled at an average rate of 12 miles per hour heading north. If the ship traveled a total of 158 miles in 9 hours, how many miles were traveled heading north?

Answers

Tw = Time traveled west
Tn = Time traveled north
Tw + Tn = 9 hours
22Tw + 12Tn = 158 miles
Solve the 2 equations and you get
Tw = 5 hours
Tn = 4 hours
12 x 4 = 48 miles traveled north

If the slope of a straight line Is 0 and the y-intercept is -2, what is the equation of the line

Answers

it is simply y=-2

hoped I helped :)

a study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 chevrolet cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 64 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.6 hours

Answers

Since we know the population standard deviation and the sample size is above 30, then we use the z statistic. The formula for z score is:

z = (x – u) / s

where,

x = the sample mean or sample value = 8.6 hours

u = the population mean = 8.4 hours

s = the standard deviation = 1.8 hours

Substituting into the given equation:

z = (8.6 – 8.4) / 1.8

z = 1.11

Using the standard probability distribution tables for z, a value of z = 1.11 has a probability of:

p = 0.8665

However this is still not the correct answer since this refers to the left of z. What we are trying to find is to the right of z since problem ask for exceeds 8.6 hours, therefore the correct answer is:

P (x>8.6 hours) = 1 – 0.8665

P (x>8.6 hours) = 0.1335

Therefore there is a 13.35% chance that the mean rebuild time is greater than 8.6 hours.

Scotty is planning to order 1 cubic yard of topsoil for his 15' by 24' garden expecting that if evenly spread, he would end up with 2 inches of topsoil. Is he correct? Explain.

Answers

2 inches = 0.1666 feet

15 x 24 x 0.1666 = 59.98 cubic feet

1 cubic yard = 27 cubic feet

59.98 is greater than 27 so 1 cubic yard of topsoil will not be enough

A single person earns a gross biweekly salary of $780 and claims 6 exemptions. What is the person's net pay?
a.
It is the same as the gross pay.
b.
It is $11 more than the gross pay.
c.
It is $11 less than the gross pay.
d.
It is $13 less than the gross pay

Answers

Answer:

A. It is the same as the gross pay.

Explanation:

To get the amount of income tax withheld, we use the table attached.

We are given that:

1- This biweekly gross salary is $780, therefore, we will go to the row having a minimum payment of $780 (red border)

2- The number of claimed allowances is 6, therefore, we will go to the column with 6 claimed allowances (blue border)

We now find the intersection between the row and the column. As we can see in the table, it is zero.

This means that the deducted taxes based on the givens is zero which means that the net pay is the same as the gross pay.

Hope this helps :)

Final answer:

To calculate the net pay, deduct the taxes and other deductions from the gross salary. Since the deductions will be greater than zero, the net pay will be $11 less than the gross pay.

Explanation:

To calculate the net pay, we need to deduct the taxes and other deductions from the gross salary. The main deductions to consider are Social Security, Medicare, and federal and state taxes. Let's break it down.

Calculate Social Security deduction: Gross biweekly salary x 6.2%.Calculate Medicare deduction: Gross biweekly salary x 1.45%.Calculate federal and state taxes: Gross biweekly salary x 15%.Add up all the deductions.

Subtract the total deductions from the gross salary to find the net pay.

Since the deductions will be greater than zero, the net pay will be $11 less than the gross pay. Therefore, the correct answer is option c. $11 less than the gross pay.

A Square has sides that are the same length as the radius of a circle. If the circle has an area of 36π square units how many units long is the perimeter of the square?

Answers

ok so...... the correct answer is ......113.04

πr²= 36π or, r=6 units
now side of a square (l)=radius (r)=6
perimeter of square=4l=6×4=24 units ans

Exactly 1/20 of the students in mr.perez's class has a bird. what percentage of his students has a bird.

Answers

1/20 is equal to 5/100, meaning 5% have a bird

the primary advantage of a stratified random sample is that it ____.

Answers

The answer is that it "ensures that segments of the population that are important for a statistical survey are reasonably represented".

Explanation:
It is sometimes practical to divide the population being surveyed into subpopulations before applying random sampling.on each subpopulation.
Doing so ensures that no subpopulations are under represented or over represented, thereby removing bias.

the point(-2,4) is on the line given by the equation below

A.y=x -4
B.y=x+4
C.y=2x
D.y=-2x

Answers

D since if you plug in x-value of -2 in the equation you come out with 4 which is the y-value you need

An electronic product contains 40 integrated circuits. the probability that any integrated circuit is defective is 0.01, and the integrated circuits are independent. the product operates only if there are no defective integrated circuits. what is the probability that the product operates?

Answers

Final answer:

The probability that the product operates is 0.6706 or 67.06%.

Explanation:

To find the probability that the product operates, we need to find the probability that all 40 integrated circuits are not defective. Since the probability of any integrated circuit being defective is 0.01, the probability that a circuit is not defective is 1 - 0.01 = 0.99. Since the integrated circuits are independent, we can multiply the probabilities together:

P(product operates) = (0.99)⁴⁰ = 0.6706

Therefore, the probability that the product operates is 0.6706 or 67.06%.

What is the distance between the two points?

Answers

[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ \frac{1}{8}}}\quad ,&{{-\frac{9}{5}}})\quad % (c,d) &({{ \frac{3}{8}}}\quad ,&{{ -\frac{4}{5}}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}[/tex]

[tex]\bf d=\sqrt{\left[ \frac{3}{8}-\frac{1}{8} \right]^2+\left[-\frac{4}{5}-\left( -\frac{9}{5} \right) \right]^2}\implies d=\sqrt{\left( \frac{3}{8}-\frac{1}{8} \right)^2+\left(-\frac{4}{5}+\frac{9}{5} \right)^2} \\\\\\ d=\sqrt{\left( \frac{2}{8}\right)^2+\left(\frac{5}{5} \right)^2}\implies d=\sqrt{\left( \frac{1}{4} \right)^2+\left( 1 \right)^2}\implies d=\sqrt{\frac{1^2}{4^2}+1}[/tex]

[tex]\bf d=\sqrt{\frac{1}{16}+1}\implies d=\sqrt{\cfrac{17}{16}}\implies d=\cfrac{\sqrt{17}}{\sqrt{16}}\implies d=\cfrac{\sqrt{17}}{4}[/tex]

If you have 2 pairs such that A(x₁ , y₁) and B(x₂ , y₂). , the distance is:

AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

A(1/8 , 9/5) and B(3/8 , - 4/5)

Plug in the related value:

AB = √[(3/8 - 1/8)² + ( - 4/5 - 9/5)²] = √(2729/400) (ALREADY SIMPLIFIED)
AB = distance = 2.61

A pilot can fly an airplane 2240 miles with the wind in the same time as she can fly 1920 miles against the wind. If the speed of the wind is 40 mph, find the speed of the plane in still air.

Answers

recall your d = rt, distance = rate * time

so... hmm if the plane has a still air speed of say "r", when it's going with the wind, is not really going "r" fast, is going "r + 40 ", because the wind is adding 40mph to its speed, is really moving.

and when the plane is going against the wind, is not really going "r" fast either, is going " r - 40 ", because the wind is eroding speed from it.

now, it went 2240 miles for say "t" hours, and it did 1920 miles for the same length of time, "t" hours.

[tex]\bf \begin{array}{lccclll} &distance&rate&time\\ &-----&-----&-----\\ \textit{with the wind}&2240&r+40&t\\ \textit{against the wind}&1920&r-40&t \end{array} \\\\\\ \begin{cases} 2240=(r+40)t\implies \frac{2240}{r+40}=\boxed{t}\\ 1920=(r-40)t\\ ----------\\ 1920=(r-40)\left( \boxed{\frac{2240}{r+40}} \right) \end{cases} \\\\\\ 1920=\cfrac{(r-40)2240}{r+40}\implies 1920(r+40)=(r-40)2240 \\\\\\ 1920r+76800=2240r-89600\implies 166400=320r \\\\\\ \cfrac{166400}{320}=r[/tex]

and surely you know how much that is.

Mix 20ml per 500 ml of water what is ratio of the amount of insecticide to the amount of water

Answers

Answer:

1 : 25

Step-by-step explanation:

Mix 20 ml per 500 ml. of water the ratio is = 20 : 500

Or [tex]\frac{20}{500}[/tex] = [tex]\frac{1}{25}[/tex] = 1 : 25

1 ml insecticide per 25 ml of water.

The ratio of the amount of insecticide to the amount of water is 1 : 25

Fractions are written as the ratio of two integers. The ratio of the amount of insecticide to the amount of water is 1:25

Ratio and proportions

Fractions are written as the ratio of two integers

From the given question, we have the following measurement:

20ml per 500 ml of water

Required

The ratio of the amount of insecticide to the amount of water

Ratio = 20ml/500ml
Ratio = 1/25 = 1:25

Hence the ratio of the amount of insecticide to the amount of water is 1:25

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