A company makes light meters and the probability that a randomly chosen meter is faulty is 0.04. In a quality control process, each meter is checked and either accepted or rejected. For a faulty meter, the probability that it will be rejected is 0.84. For a meter with no faults, the probability that it will be rejected is 0.01. Find the probability that
(a) a randomly chosen meter will be faulty and will be accepted;
(b) a randomly chosen meter with no faults and will be rejected;
(c) a randomly chosen meter will be accepted;
(d) a randomly chosen meter will be faulty, given that the quality control
process rejects it.

Hey there!

2/3 * n = 12

2/3n = 12

MULTIPLY 3/2 to BOTH SIDES

3/2n * 2/3 = 12 * 3/2

CANCEL out: 3/2 * 2/3 because it gives you 1

KEEP: 12 * 3/2 because it give the n-value

NEW EQUATION: n = 12 * 3/2

SIMPLIFY IT!

n = 18

Therefore, your answer is: n = 18

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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Answer:

answer =-1.

Step-by-step explanation:

(i)write the question nicely again.

(ii) substitute the ltter with the value that is given.

(iii)u gonna use BEDMAS RULE TO SOLVE.

Answer:

8.

Step-by-step explanation:

The median of any set of numbers is the middle-most number of the set when ordered from least to greatest. Ordering this set from least to greatest, we get "5, 5, 5, 8, 8, 9, 11." There are 7 numbers here, so the middle-most number is the 4th number, or 8. In the case that you have an even amount of numbers to choose, you take the average of the two middle-most numbers to find your median.

The median of the sample is the middle value of the data set which is number 8.

Median of the data set is the middle value of the data when data is arranged in the increasing order or decreasing order.

The data of the sample given in the problem is,

\(5, 5, 11, 9, 8, 5, 8\)

Arrange this data in the increasing order.

\(5, 5, 5, 8, 8, 9, 11\)

There is total 7 observation in the above data. The middle value will be the fourth number observation, which is 8.

Hence, the median of the sample is the middle value of the data set which is number 8.

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Check the picture below.

so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)

so now let's get the areas of those triangles and those rectangles.

\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)

Answer:

A, C, and E

Step-by-step explanation:

-2, 0, and 5

Answer:

-2, 0, 5

Step-by-step explanation:

Answer: 1/2x

Step-by-step explanation:

Answer:

B. False

step by step explanation

The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.

In this question we must determine the location of the center and the measure of the radius of a circle. According to Euclidean geometry, diameters are the longest possible chords of a circle. First, we determine the location of the center by definition of midpoint:

(h, k) = (1/2) · (4, 5.5) + (1/2) · (4, 10.5)

(h, k) = (4, 8)

And the radius is found by Pythagorean theorem:

\(d = \sqrt{(4 - 4)^{2}+(10.5-5.5)^{2}}\)

d = 5

r = 0.5 · 5

r = 2.5

The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.

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Answer:

8

Step-by-step explanation:

The option that isn't a requirement when an individual is conducting the goodness-of-fit test is C. For each category, the observed frequency is at least 5.

The goodness-of-fit test simply means a statistical hypothesis test that's used to see how a sample data will be able to fit a distribution from a population with a normal distribution.

To conduct the test, the sample data must consist of frequency counts for each of the different categories, the data must have been randomly selected, and the expected frequency is at least 5.

In conclusion, for each category, the observed frequency is at least 5 is the right option.

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Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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Answer:

(1, -1/2)

Step-by-step explanation:

Find the midpoint by finding the averages of the x coordinates and y coordinates:

(-5 + 7) / 2

2 / 2 = 1 (x coordinate)

(4 - 5) / 2

-1 / 2 = -1/2 (y coordinate)

So, the midpoint is (1, -1/2)

SOLUTION

Since the line are perpendicular, then

And

Substituting the values, we have

We Now collect like terms

Hence, The value is x is 8

Then the measure of angle ABE is obtained by substituting the value of x

Therefore, the measure of angle ABE is 50°

The solution to the system of equations 9x - 16y =54 and 5x + 17y =30 is x = 6 and y = 0.

Given the system of equations in the question:

9x - 16y = 54 -------equ1

5x + 17y = 30 -------equ2

Using the elimination method:
First, multiply equation (1) by 17 and equation (2) by 16 to make the coefficients of y in both equations equal:

17 × (9x - 16y) = 17 × 54

16 × (5x + 17y) = 16 × 30

We have:

153x - 272y = 918 ....... equ3

80x + 272y = 480 .......equ4

Add Equation 3 and Equation 4:

(153x - 272y) + (80x + 272y) = 918 + 480

153x - 272y + 80x + 272y = 918 + 480

233x = 1398

x = 1398/233

x = 6

Now, pug x = 6 into equation 2 and solve for y:
5x + 17y = 30

5(6) + 17y = 30

30 + 17y = 30

17y = 30 - 30

17y = 0

y = 0

Therefore, the value of x is 6 and y is 0.

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Answer:

B. 0.69

Step-by-step explanation:

Law of Cosines: cos A = (b² + c² - a²) / 2bc

cosθ = (7² + 11² - 8²) / 2*7*11 = 106/154 = 0.688 ≈ 0.69

Answer:

About 81 months

Step-by-step explanation:

We'll have to use this formula: A = P x i(1 + i)ˣ / (1 + i)ˣ - 1

A = Montly payment (372)

P = Loan amount (26,000)

i = interest rate/12 (0.043/12 = 0.035833)

x = months (?)

372 = 26,000 x 0.035833(1 + 0.035833)ˣ / (1 + 0.035833)ˣ - 1

First, substitute (1 + 0.035833)ˣ for y just to make things easier

372 = 26,000 x 0.035833y / y - 1

Multiply both sides by y - 1

(y-1)(372 = 26,000 x 0.035833y / y - 1)

372y - 372 = 26,000 x 0.035833y

Divide both sides by y

(372y - 372)/y = (26,000 x 0.035833y)/y

372 - 372/y = 26,000 x 0.035833

Add 372/y to both sides

372 - 372/y = 26,000 x 0.035833

- 372/y              - 372/y

372 = 93.1667 + 372/y

Subtract 93.1667 from both sides

372 = 93.1667 + 372/y

- 93.1667 - 93.1667

372 - 93.1667 = 372/y

Cross multiply

y = 372/(372 - 93.1667)

y = 1.33413

(1 + 0.035833)ˣ = 1.33413

log₁₋₀₀₃₅₈₃₃(1.035833ˣ) = log₁₋₀₀₃₅₈₃₃(1.33413ˣ)

x = 80.59418

Answer:

z+ 38 = 90

z = 90 - 38

z= 52 degree

Angles in a triangle add up to 180 degrees

The value of x is 85 degrees

A triangle is a polygon which has  three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.

here, we have,

How to determine the value of x

The total  sum of angles for a triangle is 180 degrees.

So, we have:

x + 35 + 60 = 180

Evaluate the sum

x + 95= 180

Subtract 95 from both sides

x = 85

Hence, the value of x is 85 degrees

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Full question: (SAT Prep) Find the value of x. 35° 60° X

x=?​

Answer: CAN SOMEONE PLZ ANSWER TFF QUSTION PLZ!!

SUBSCRIBE TO GBG_EJJ ON YT  AND YOU WILL HAVE THE ANSWER DUHH

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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Its used to find the area and circumference of a circle

Answer:

It is the 16th letter of the Greek alphabet

Used to represent the mathematical constant.

Pi is the ratio of the circumference/diameter.

Hope this helps you!

Answer:

= y + x - 4 = 0

Step-by-step explanation:

a slope or -1

The point = (0,4).

the equation =

\( \frac{y - y1}{x - x1} = m\)

y - 4 = -1

x - 0

note: Perform close multiplication

remember every whole number is over 1

y - 4 = - ( x - 0)

y - 4 = - x + 0

y + x - 4 = 0.

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

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\(( 7{c}^{3} {d}^{2} + 2b {c}^{2} d + ab) - ( - 4 {c}^{3} {d}^{2} + ab - 7b {c}^{2} d) \\ 7{c}^{3} {d}^{2} + 2b {c}^{2} d + ab+ 4 {c}^{3} {d}^{2} - ab + 7b {c}^{2} d) \\7{c}^{3} {d}^{2} + 4 {c}^{3} {d}^{2} + 2b {c}^{2}d + 7b {c}^{2} d + ab - ab \\ 11 {c}^{3} {d}^{2} + 9b {c}^{2} d\)

PLEASE GIVE BRAINLIEST

Answer:

x>_-1

Step-by-step explanation:

x is such that x is greater or equal to -1

Hey there! I'm happy to help!

Annual simple interest is basically taking the certain percent of an initial amount and adding that same number and over and over again each year.

So, we want to see how much she will have to pay at the end of nine months. However, 3% of her $600 is after 12 months. 9 is 3/4 of 12. So, we need to find what percent is 3/4 0f 3%. 3/4 is the same thing as 75%.

75% × 3%= 2.25%

Now, we need to find 2.25% of 600.

2.25% × 600=13.5

Now, we add this to our initial 600.

613.5

Therefore, Dora will have to pay Diego $613.50 at the end of nine months.

I hope that this helps! Have a wonderful day!

Answer:

Hey there! I'm happy to help!

Annual simple interest is basically taking the certain percent of an initial amount and adding that same number and over and over again each year.

So, we want to see how much she will have to pay at the end of nine months. However, 3% of her $600 is after 12 months. 9 is 3/4 of 12. So, we need to find what percent is 3/4 0f 3%. 3/4 is the same thing as 75%.

75% × 3%= 2.25%

Now, we need to find 2.25% of 600.

2.25% × 600=13.5

Now, we add this to our initial 600.

613.5

Therefore, Dora will have to pay Diego $613.50 at the end of nine months.

I hope that this helps! Have a wonderful day!

Step-by-step explanation:

Me saying I never copyed

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.