Round 2,159 to the nearest hundred

If  a package contains 12 resistors, 3 of which are defective. If 4 are selected, the probability of getting

a) 0 defective resistors: 0.3164

b) 1 defective resistor: 0.4219

c) 3 defective resistor: 0.0469

First step is to calculate the probability for a defective resistor and non-defective resistor:

Probability=3/12

Probability =0.25

Non-defective resistor:

Probability=(1-0.25)

Probability=0.75

Now  let find the probabilities for defective resistors from 0 to 3

P(0)=1(0.75)^4 ×(0.25)^0

P(0)=0.3164

P(1)=4(0.75)^3× (0.25)^1

P(1)=0.4219

P(2)=6(0.75)^2× (0.25)^2

P(2)=0.2109

P(3)=4(0.75)^0×(0.25)^3

P(3)=0.0469

P(4)=1(0.75)^0 × (0.25)^4

P(4)=0.0039

Hence,

a. P(0)=0.3164

b. P(1)=0.4219

c. P(3)=0.0469

Therefore If  a package contains 12 resistors, 3 of which are defective. If 4 are selected, the probability of getting 0 defective resistors: 0.3164, 1 defective resistor: 0.4219, 3 defective resistor: 0.0469.

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Answer:

6

Step-by-step explanation:

The ratio of omelets and egg is calculated as:

omelets: egg = 3:9

omelets: egg = 1:3

The number of the omelets made by 18 eggs will be calculated as below:

omelets: egg = 1:3

omelets: 18 = 1:3

omelets = 18 x (1/3)

omelets = 6

Therefore, the number of omelets made by 18 eggs will be 6.

The answers are :

1. The equation of line parallel to y =  [tex]\frac{2}{5}[/tex] x - 3 will be y =  [tex]\frac{2}{5}[/tex] x - [tex]\frac{7}{5}[/tex] .

2. The equation of line perpendicular to y = - [tex]\frac{2}{5}[/tex] x - 4 will be y =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{13}{2}[/tex] .

What is the slope intercept form of a line ?

The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

1.

It is given that equation is : y = 2/5x - 3.

So , the slope here is 2/5 and a parallel line will have the same slope.

We know that the slope intercept form of a line is :

y = mx + c

Put , slope(m) = 2/5 in above equation.

Given , (1,-1) i.e., x = 1 and y = -1

Now we substitute these values to find value of c.

-1 = 2/5(1) + c

-1 = 2/5 + c

-1 - 2/5 = c

(-5 - 2)/5 = c

-7/5 = c

Putting m = 2/5 and c = -7/5 , we get :

So, the equation of parallel line is :

y =  [tex]\frac{2}{5}[/tex] x - [tex]\frac{7}{5}[/tex]

2.

We know that the product of the slope of two perpendicular lines is -1.

Given that equation is : y = -2/5x - 4 i.e., slope = -2/5

So , slope of a line perpendicular to this line is -1/(-2/5) = 5/2

And this line passes through the point (-3,1).

Equation of a line that passes through a point (x1 , y1) and slope (m) is :

(y-y1) = m (x-x1)

Here ;

x1 = -3 , y1 = 1 and m = 5/2

So , the equation of perpendicular line will be :

(y - 1) = [tex]\frac{5}{2}[/tex] (x - (-3))

(y - 1) =  [tex]\frac{5}{2}[/tex] (x + 3)

y - 1 =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{15}{2}[/tex]

y =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{15}{2}[/tex] + 1

y =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{13}{2}[/tex]

Therefore , the answers are :

1. The equation of line parallel to y =  [tex]\frac{2}{5}[/tex] x - 3 will be y =  [tex]\frac{2}{5}[/tex] x - [tex]\frac{7}{5}[/tex] .

2. The equation of line perpendicular to y = - [tex]\frac{2}{5}[/tex] x - 4 will be y =  [tex]\frac{5}{2}[/tex] x + [tex]\frac{13}{2}[/tex] .

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Step-by-step explanation:

try this option (see the attachment).

The temperature in degree Celsius when the temperature is 50°F is;  C = 10°C

We are given the formula for converting temperature from degree Celsius to degree Fahrenheit as;

F = ⁹/₅C + 32

Making C the subject;

⁹/₅C = F - 32

Multiply through by 5/9 to get;

C = ⁵/₉F - 32(5/9)

We are told that the temperature is 50°F. Thus;

C = ⁵/₉(50) - 32(5/9)

C = ⁵/₉ * 18

C = 10°C

Thus, the temperature in degree Celsius when the temperature is 50°F is;  C = 10°C

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The grocery store sells each orange at $0.56.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A grocery store sells a bag of 8 oranges for $4.48.

∴ The cost per orange is $(4.48/8) = $0.56.

The cost of each orange is $0.56.

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The system of equations is given by :

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

We shall employ the linear combination method to resolve a system of three equations in three variables. This time, we will solve for the third variable while eliminating the second variable using the equations that follow from the elimination of the first.

Given the number of small drinks by the vendor is s , number of medium drinks is m and the number of large drinks is g.

The vendor sold all three drinks total of 1385, hence the equation:

∴ s + m + g = 1385.

Each small drink costs 1.15 , medium drinks cost 1.75 and large drinks cost 2.25, hence the equation:

∴ 1.15 s + 1.75 m + 2.25 g = 2238.75

He sold twice as many small drinks as medium drinks, hence the equation:

∴ s = 2m

The system of equations is given by:

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

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Draw a model and write to represent 4 times as many as 3 is 12.

The required equation is 4×3=12 and the required model is shown in figure.

The model for the provided question is shown in the figure, where there are 3 rows and 4 blocks in a row we get 12 blocks total.

Consider the provided information.

We need to draw a model and write an equation to represent 4 times as many as 3 is 12.

4 times as many as 3 can be written as:

4×3

This expression is equal to 12. Thus the combined equation is:

4×3=12

Therefore, the equation represents 4×3=12.

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Answer: P = 50x + 100

Step-by-step explanation: P is the total amount that you pay, 50x is the amount per hour plus the flat rate of 100 that you are guaranteed to pay.

Hope this helps.

The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

You had to take your car to the shop for a weird noise. The mechanic charges a flat rate of $100 for looking at your car and $50 an hour to fix the problem.

Let P represents the amount of pay and x be the number of hours. Then the linear equation is given as,

P = 50x + 100

The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.

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Answer:

9954

Step-by-step explanation:

ca1cu14t0r

Answer:

The answer for this question is 9,954.

Hope it's helpful :-)

If so, please mark me as brain-list :-)

Answer:

(1) 125

Step-by-step explanation:

I calculated it, I can guarantee that this is the correct answer.

Answer:

The correct answer is 17.92

Step-by-step explanation:

28×0.64 = 17.92

The numbers below are what you could round to for your answer depending on what you answer choices are:

Whole number: 18

Ten's place: 17.9

Hundred's place: 17.92

Step by step Explanation= if a=8

then a×9 =8×9=72

Answer =72

Answer:

y = 11°

Step-by-step explanation:

Since it is a right angle, subtract 28 from 90 which equals 62.

Then, use the equation to find that 11 × 6 = 66, subtract 4, and it equals 62 too.

The solution for the given inequality is -10 < y ≤ -2.

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

The question gives:

17 ≤ -10y -3 ≤ 97

For solving this exercide, you should write the previous compound inequality as:

17  ≤  -10y -3     (1)

-10y -3  ≤ 97   (2)

             17  ≤ - 10y -3

            10y ≤  -3 -17

            10y ≤  -20

            y ≤  -20/10

            y ≤  -2

             -10y -3  ≤ 97

             -10y   ≤ 97 +3

             -10y   ≤ 100 *(-1)

             10y   ≥  - 100

             y   ≥  - 100/10

             y   ≥  - 10

Combining the intervals, you have -10 < y ≤ -2.

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The probability that Romina randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie is 7/100.

Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.

The probability of picking an oatmeal cookie then a sugar cookie = (number of oatmeal cookies / total number of cookies) x (number of sugar cookies / total number of cookies -1)

Total number of cookies = 8 + 4 + 6 + 7 = 25

The probability of picking an oatmeal cookie then a sugar cookie = (7/25) x (6/24) = 7/100

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The domain and range of the given graph is [tex][-3,-2) \sqcup (-1,5][/tex] and [tex][-5,4)[/tex] respectively .

From the graph , we can see that the left most point is when x = -3 and this point is closed in endpoint, so we will include this value of x in the domain.

Whereas its another point is on x = -2 which is not filled up so , we will not consider this value of x in the domain. In the interval , domain can be represented by [tex]-3\leq x < -2[/tex]  .This interval can be written as [tex][-3,-2)[/tex]

Now , the right most point is when x = 5 which is filled up so we will include this value of x in the domain. Whereas it's another endpoint is at x = - 1 , we will not consider this value of x in the domain as it is not filled up. In the interval , domain can be represented by [tex]-1 < x\leq 5[/tex] .This interval can be written as [tex](-1,5][/tex] .

In order to get the full domain of the function we will use union symbol

 [tex][-3,-2) \sqcup (-1,5][/tex]

For the range , we will observe the values of y . The lowest point is when y = -5 which is filled up so we will include this value of y in the range.

Whereas the highest point is when y = 4 which is not filled up so , we will not consider this value of y in the range . In the interval , range can be represented by [tex]-5\leq y < 4[/tex] .Since there are no gaps in the range, we don't use any union symbols here and hence range is [tex][-5,4)[/tex]

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The dimensions of the rectangular  page will be 11.02 inches in width and 7.35 inches in height so that the least amount of paper is used.

Given that,

The area of the rectangular print = 81 square inches

The margins at the top of the page = 1inches, and

The margins at the bottom of the page  = 1inches,

And,

The margins on each side = 1(1/2) inches wide.

Now,

Let, the width of the print = x

And,

The height of the print = y

Now,

According to the question,

The width of the page = x + (1.5 + 1.5) = x + 3

And,

The height of the page = y + (1 + 1) = y + 2

Now,

i.e.

xy = 81

we get,

y = (81/x)

Now,

The area of the page (A) = (x + 3)(y + 2) = (x + 3) [(81/x) + 2],

Now,

For the least amount of paper to be used,

dA/dx = (x + 3) [(81/x) + 2]

We get,

dA/dx = [(81/x) + 2] + (x + 3) [-81/x²] = 0

[(81+2x)/x] = [(x + 3) * 81]/x²        

81 + 2x² = 81x + 243

2x² = 243

We get,

x = 11.02 inch

So,

y = 81/x = 81/11.02 = 7.35 inch

Hence we can say that the dimensions of the rectangular page will be 11.02 inches in width and 7.35 inches in height so that the least amount of paper is used.

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80 milligrams is the amount of vitamin C that is considered to be 100% of the daily recommended requirement for adults.

Parameter

Since the orange juice container that has a capacity of 16 ounces states that it has 200 milligrams of vitamin C, this means that it fulfills 250% of an adult's recommended daily requirement for vitamin C. Then, for one hundred percent of the daily allotment,

As a result, we are able to draw the conclusion that the amount of vitamin C that is considered to be 100% of the daily recommended requirement for people is 80 milligrams.

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Answer:

Step-by-step explanation:80 hoka nintch

Answer:

what???

Step-by-step explanation:

Answer:AYO?????

Step-by-step explanation:Nahhhh Jit Trippin

In a case whereby stephanie added 20 more apps to get tablet, making the total more than 61 the number of apps that were originally on the tablet is [tex]a +20 > 61[/tex].

Inequality can be described as the statement  that do follow some  orderly relationship, it should be noted that this usually consist of greater than as well as  greater than or equal to.

As regards the question,  we will have a>61-20 then a>41

Therefore, In a case whereby stephanie added 20 more apps to get tablet, making the total more than 61 the number of apps that were originally on the tablet is [tex]a +20 > 61[/tex].

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NOTE; This is a complete question , no given option , even on internet.

Answer:look at the variable and it will all fall together

Step-by-step explanation:

The downloads that would give you a profit of $30,000 the next month is 700 download.

From the information, the profit was given by P(x)=-0.5x²+400x-6,000.

The number of downloads that would give you a profit of $30,000 the next month will be:

P(x)= -0.5x² + 400x - 6,000.

3000 = -0.5x² + 400x - 6,000.

-0.5x² + 400x - 6,000 - 3000 = 0

0.5x² - 400x + 9000 = 0

Divide through by 5

0.1x² - 80x + 1800 = 0

Using almighty formula, the value of x is 700.

Therefore, the downloads that would give you a profit of $30,000 the next month is 700 download.

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The unit price of the pair of socks is $7.99

Unit price can be described as the price of one item. In this case scenario, we are looking for the unit price of a pair of socks.

The unit price can be calculated as follows

6 pair=47.94

1 pair = x

Cross multiply both sides

6x= 47.94

Divide both sides by the coefficient of x which is 6

6x/6= 47.94/6

x= 7.99

Hence the unit price is $7.99

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Answer:

7/12+1/3_1/2+2/8

lcm of 12 and 3 is 12-lcm of 2 and 8 is 8

8/12-3/8

=5/24

Answer:

C

Step-by-step explanation:

5 = sin(30) × x = 0.5 × x

x = 5 / 0.5 = 10

Answer:

answer is: AB

do you want explanation?