Out of 1,100 discs tested, 13 are defective. Estimate the number of defective discs in a batch of 41,000.

Answers

Answer 1

Answer: This is a simple proportion

1100 : 13 = 41000 : x

For every 1100 discs, 13 are defective, meaning that there will be an X number for each 41000

13 * 41000 = 1100 * x

13 * 410 = 11 * x
5330 = 11 * x
x = 5330/11
x = 484.5

That means that for every 41000, approximately 485 discs will break down.

Answer 2

Answer:

Answer:

x = 484.5

That means that for every 41000, approximately 485 discs will break down

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5x+12=5x+12 if somebody can help me with that please
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HW 2: Angles of TrianglesFind the missing angle:
1
Measure of Angle 1 =
67
62

Answers

Hi there, to answer this problem we will first need to identify the third missing angle inside the triangle. Triangles add to 180 degrees, therefore we can add the two provided sides: 62+67= 129. To find the third angle, we can subtract 129 from 180 and end with 51. This is the measurement of the third angle inside the triangle. Now we can take this number and subtract it from 180, because the value you are looking for is located on a straight 180 degree line which forms one side of the triangle. The answer to your questions is: the measure of angle 1 is 51 degrees. Hope this helps!!

Carly tried to solve an equation step by step. \qquad\begin{aligned} -4(7j+2)&=10\\\\ \\ 7j+2&=-40&\green{\text{Step } 1}\\\\ \\ 7j&=-42&\blue{\text{Step } 2}\\\\ \\ j&=-6&\purple{\text{Step } 3}\\\\ \end{aligned} −4(7j+2) 7j+2 7j j =10 =−40 =−42 =−6 Step 1 Step 2 Step 3 Find Carly's mistake.

Answers

Answer:

x+6=±5

Step-by-step explanation:

Final answer:

Carly's mistake occurred in Step 2. She incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides.

Explanation:

Carly's mistake occurred in Step 2. In this step, she incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides. Let's correct her mistake:

-4(7j+2) = 10
7j+2 = -40
7j = -42
j = -6

Instead of dividing both sides by 7, Carly should have subtracted 2 from both sides:

7j + 2 - 2 = -40 - 2
7j = -42
j = -6

Therefore, Carly should have subtracted 2 from both sides in Step 2 instead of dividing by 7.

WHATS THE SLOPE OF THE RED LINE AND THE BLUE LINE?? and is the line parallel?? PLEASE I NEED THIS DONE

Answers

The line is Nor Parnell since it is side waysblkejsdjsjnw

Answer:

The slopes of both lines are 2/3, and since they have different y-intercepts they are parallel.

Step-by-step explanation:

In order to find slope, you need to find the rise and run of the line, since slope is rise/run. Lets use the red line as an example: There are two points , (0,1) and (-2,-1) where there are solid points. Once you locate solid points, you can then count how many units up or down (rise) and how many left or right (run). If you do this on paper the lines should form a right triangle with the line as the hypotenus. Since we went up 2, right 3, the slope would be 2/3.

Hope this helps :)

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 16 ft, express the area A of the window as a function of the width x of the window.

Answers

This answer uses NMF for which, if needed, the syntax can be found in my profile. Please ignore the LaTeX (the image), I cannot remove it/change it, and it is incorrect. The answer is: f(x)={π{{x}^{2}}/{4}+x(16-{πx}/{2}-x)}/{2}

Final answer:

The area A of a Norman window in terms of its width x can be expressed as the function A(x) = 8x - x²/2 - πx²/8, deriving this equation involves isolating variables from the given perimeter equation.

Explanation:

A Norman window has the shape of a rectangle topped with a semicircle. If we take x as the width of the window and y as the height of the rectangle, then the perimeter of the window is given by P = 2y + x + πx/2 = 16 (since the perimeter is the sum of the rectangle's two sides, the width, and half the circumference of a circle with diameter x).

From this equation, we can express y as a function of x: y = 8 - x/2 - πx/4.

Then, the area A of the window is the sum of the area of the rectangle and the area of the semicircle, which equals A = xy + πx²/8 = x(8 - x/2 - πx/4) + πx²/8 = 8x - x²/2 - πx²/4 + πx²/8.

Therefore, the area A of the window as a function of the width x of the window is A(x) = 8x - x²/2 - πx²/8.

Learn more about Function of Window Area here:

brainly.com/question/32386293

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If a 4 member comittee is formed from 3 girls and 6 boys in a club how many commitees can be formed ?

Iifthe members if the commitee are chosen at random, find the probability that the comittee consist of .. 2 girls & 2 boys ?1girl&3boys

Answers

1. 9! / ( 5! * 4! ) = (6*7*8*9)/(1*2*3*4) = 2*7*9 = 126;

2. a) [(3!/(1!*2!)]*[(6!/(4!*2!)]/126 = 5/14 = 0.35;

b) [(3!/(2!*1!)]*[(6!/(3!*3!)]/126 = 10/21 = 0.47;

Answer:

1. 9! / ( 5! * 4! ) = (6*7*8*9)/(1*2*3*4) = 2*7*9 = 126;

2. a) [(3!/(1!*2!)]*[(6!/(4!*2!)]/126 = 5/14 = 0.35;

b) [(3!/(2!*1!)]*[(6!/(3!*3!)]/126 = 10/21 = 0.47;

Step-by-step explanation:

Need help pleaseeeee:)