URGENT! A company routinely ships earbuds
have 42 defective earbuds for every
1,200 earbuds shipped. Traci works at
the Earbud Pagoda in the mall. If
Traci sells 400 earbuds how many can
Traci expect to be defective?

Answer:

3.027, 3.27, 3.2742, 3.3

Step-by-step explanation:

Hi! When we have these types of problems we always look at the first number. Is it less than the others? Since they are all 3, we have to look at the decimal place. 0 is less than 2 and 3, so we put 3.027 first. Since the others have 3.27 as the first point, we look at the one with the most decimal placements after 3.27 (3.2742) as being greater than 3.27. 3.27 goes before 3.2742. 3.3 is greater than all of them, so it goes last.

Answer:

3.027, 3.27, 3.2742, 3.3

Step-by-step explanation:

First list the numbers:

3.027

3.2742

3.27

3.3

Add the zero to the numbers without 4 decimal places so that they are equal.

Now you have:

3.0270

3.2742

3.2700

3.3000

Look at the number with the lowest number on the first decimal place, which is 3.0270. This becomes the lowest number. Then move on to the next decimal place. 3.2700 and 3.2742 both have the same digits on the first two decimal places. Look at the third decimal place between the two and you can see that 0 (on 3.2700) is lower than 4 (on 3.2742).

So now we have:

3.0270, 3.2700.

Then looking at the last two you have 3.2742 and 3.3000. In this case it's clear that 3.2742 is smaller so we put it as the third.

The order is as follows:

3.0270 (3.027)

3.2700 (3.27)

3.2742 (3.2742)

3.3000 (3.3)

Answer:

Samuel can type 40 words per minute

Step-by-step explanation:.

Then how many hours will it take for him to type 2.6 words times 10 to the power of five words

=> 2.6 words time 10 to the power of 5

=> 2.6 x 10^5

=> 2.6 x 100 000

=> 260 000 words in all.

Now, we need to find the number of words Samuel can type in a hour

=> 40 words / minutes , in 1 hour there are 60 minutes

=> 40 x 60

=> 2 400 words /hour

Now, let’s divide the total of words he need to type to the number of words he can type in an hour

=> 260 000 / 2 400

=> 108.33 hours.

x^2 - 7x - 30 = (x - 10)(x + 3)

Saving for a down payment was worth it for Isabel. It reduces the total amount paid for the car by lowering the loan amount, resulting in less interest paid over time.

When evaluating whether saving for a down payment on a car was worth it for Isabel, we need to consider the difference in the total amount paid for the car in two scenarios: with a down payment and without a down payment. Let's analyze the two scenarios to make a judgment.

Scenario 1: With a down payment

In this scenario, Isabel saved up and made a down payment on the car. As a result, her monthly loan payment fits within her budget. By making a down payment, she reduces the principal amount borrowed and, subsequently, the interest charged on the loan.

The benefits of saving for a down payment include:

Lower loan amount: By making a down payment, Isabel reduces the total amount borrowed from the lender.

Reduced interest: With a lower loan amount, the interest charged on the loan is also reduced.

Shorter loan term: A down payment can help Isabel secure a shorter loan term, reducing the overall interest paid over time.

Scenario 2: Without a down payment

In this scenario, Isabel does not make a down payment and finances the entire purchase price of the car. As a result, her monthly loan payment may be higher, as she is borrowing a larger sum and potentially paying more interest over the loan term.

The drawbacks of not saving for a down payment include:

Higher loan amount: Without a down payment, the entire purchase price is financed, leading to a higher loan amount.

Increased interest: With a higher loan amount, more interest may accumulate over the loan term, resulting in a higher total cost of the car.

By comparing the two scenarios, we can assess the impact on the total amount paid for the car. Generally, having a down payment reduces the loan amount, decreases interest charges, and may result in a shorter loan term. This, in turn, can lead to substantial savings in the long run.

To determine the exact difference in the total amount paid for the car in each scenario, we would need specific details such as the purchase price of the car, the interest rate, and the loan term. With these figures, we could calculate the total cost of the car, including interest, in both scenarios and compare the results. Based on this analysis, we can then determine if saving for a down payment was worth it for Isabel.

In conclusion, saving for a down payment on a car can offer financial benefits such as lower loan amounts, reduced interest charges, and potentially shorter loan terms. Considering the potential cost savings and improved financial stability, it is generally advisable for Isabel to save for a down payment, making it worth the effort and consideration.

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Question

The down payment makes the monthly loan payment fit into Isabel's budget. Besides this benefit, do you think saving for a down payment on the car was worth it for Isabel? Use each monthly payment with and without a down payment) to find the difference of the total amount paid for the car in each scenario to justify your answer.

Answer:

Last Option

Step-by-step explanation:

Last one because the dot on top of the 4 is filled in and that means it can also equal 4. The rest of the line is going to the right of the 4 so x will be more than 4. The little line below the more than sign means it can also equal 4. Hope this helped :)

Answer:

Option D, x ≥ 4

Step-by-step explanation:

Rule 1: Closed circle: the inequality sign with a line at the bottom, its called greater than or equal to (≥), and less than or equal to (≤), that means that the number 4 is included in the data set.

Rule 2: Since the line is going to the right of 4, there are values greater than 4 in the data set which means x (any value) has to be greater than 4.

So bringing both rules together the equation would be: x ≥ 4

Hope this helps!

The height of the average fourth grader is 135 cm 21 mm

From the question, we have the following parameters that can be used in our computation:

Birth age = 45 cm 7 mm

Average fourth grader = three times as tall

using the above as a guide, we have the following:

Average fourth grader = 3 * Birth age

So, we have

Average fourth grader = 3 * 45 cm 7 mm

Evaluate

Average fourth grader = 135 cm 21 mm

Hence, the height of the average fourth grader is 135 cm 21 mm

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Answer:

100 I guess so........

Step-by-step explanation:

100

Mr. Samson received 56% votes.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here Mr. Samson receives 56 votes out of 100 thus we have in percentage terms as 56/100 × 100=56%

Hence, Mr. Samson received 56% votes.

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The solution to the inequality in this problem is given as follows:

b. x < -17 or x > 15.

The inequality for this problem is defined as follows:

0.25|x + 1| > 4.

Isolating the absolute value, we have that:

|x + 1| > 4/0.25

|x + 1| > 16.

The absolute value of a number represents it's distance from the origin, meaning that the inequality can be written as follows:

x + 1 < -16 or x + 1 > 16.

Then the first interval in the solution of the inequality is given as follows:

x + 1 < -16

x < -17.

The second interval in the solution of the inequality is given as follows:

x + 1 > 16

x > 15.

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Consider that for each game, each team has the same probability of winning the game, that is, a probability of 0.5 in each game.

For a sweep, the probability for both teams is given by the product of the probability in each game. Taking into account that a sweep if for the first four games, you have:

P = (0.5)(0.5)(0.5)(0.5) = 0.0625

Hence, the probability for a World Series sweep is 0.025, which is equivalent to the 6.25%.

The cost of the car is $59,711.4.

Since,  A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100.

Given here:

Price of the car = $46,890.00,

percent down: 26%,

finance cost: $792.00 per month for 60 months

Thus Total cost= $46,890.00×0.26+60×792

                        = $12191.4 + $47520

                        = $59,711.4

Hence, The cost of the car is $59,711.4

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

Step-by-step explanation:

You want a system of equations and a graphical solution for the scenario that the weight of peaches sold (y) is 3 times the weight of apples sold (x), and the revenue from sales of apples at $3/lb and peaches at $4/lb was a total of $240.

The revenue equation can be ...

  3x +4y = 240

The relation between pounds of each fruit sold can be ...

  y = 3x

The graph is attached. The solution is (x, y) = (16, 48).

16 pounds of apples and 48 pounds of peaches were sold.

__

Additional comment

We note that the 3x in the first equation can be substituted by y using the second equation. This gives 5y=240, or y = 48. Then 3x=48, so x=16. This agrees with the graphical solution, as it should.

There were 124 students in West County's sample.We can use the margin of error formula to determine the sample size:

Margin of error = z*(standard deviation / sqrt(sample size))

where z is the z-score for the desired level of confidence. For a 95% confidence interval, z = 1.96.We are given that the mean of West County's sample was 79 with a margin of error of plus or minus 1.9. Therefore, we can set up the equation:

1.9 = 1.96*(12 / sqrt(n))

where n is the sample size we want to find.

Solving for n, we get:

n = (1.96*12/1.9)^2 ≈ 124

Therefore, to the nearest whole number, there were 124 students in West County's sample.

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The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

Blank 1 = 53 + 90 = 143

Blank 2 = 143 - 229 = -86

Blank 3 = 0 - 86 = 86

Answer:

D. x ≥ -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

10 - 4x ≤ 50

Step 2: Solve for x

Here we see that any value x greater than or equal to -10 would be a solution to the inequality.

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer: 14 times

Step-by-step explanation:

45 - 10 = 35

35/2.5 = 14

Answer:

x= -1/95

Step-by-step explanation:

Step 1: Subtract 110x from both sides.

15x+8−110x=110x+9−110x

−95x+8=9

Step 2: Subtract 8 from both sides.

−95x+8−8=9−8

−95x=1

Step 3: Divide both sides by -95.

−95x

−95

=

-1/95

x=

−1/95

Using distributive property the solution of the equation is x= −1/95

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

Given that the equation; 15x + 8 = 110x + 9.

Step 1: Subtract 110x from both sides.

15x + 8 − 110x = 110x + 9 − 110x

−95x + 8 = 9

Step 2: Subtract 8 from both sides;

−95x + 8 − 8 = 9 − 8

−95x = 1

Step 3: Divide both sides by -95;

x= −1/95

Hence, Using distributive property the solution of the equation is x= −1/95

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Answer: The experiment is blinded because the volunteers in both groups are unaware of which dog food they received.

The statement which is correct about the experiment given to both volunteers is "The experiment is blinded because the volunteers in both groups are unaware of which dog food they received".

An experiment refers to a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis or determine the efficacy of something previously untried.

The experiment is blinded to the two volunteer groups because the supply of dog food given to both groups is unlabeled and they are both unaware of the food supply which contains the omega-3 oils.

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The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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Answer:

a) 1/24 do total

Step-by-step explanation:

We have that:

The total is 1.

The first friend gets 1/4 of the total.

The second friend gets 1/3 of the total

The third friend gets 3/8 of the total.

The remaining is x.

So

\(\frac{1}{4} + \frac{1}{3} + \frac{3}{8} + x = 1\)

The least common multiple between 4, 3 and 8 is 24. So

\(\frac{6 + 8 + 3*3 + 24x}{24} = 1\)

\(23 + 24x = 24\)

\(24x = 1\)

\(x = \frac{1}{24}\)

So the correct answer is:

a) 1/24 do total

Answer:

b-11

Step-by-step explanation:

is that what the question is asking for?

I) The angles are not equal then the two triangles are not Congruent.

ii) The point E is 1.5 from point B.

A line that divides the line into two distinct or equal segments is referred to as a "bisector." It is applied to angles and line segments.

A ray that divides an angle into two equal pieces is known as an angle bisector or the bisector of an angle.

Given:

As, <CAB = 19.4 and <DAB = 33.7

So,  CAD and DAB are not congruent.

ii) The point E should be located 1.5 away from point B.

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Answer:

1/2

Step-by-step explanation:

Divide both the numerator and denominator by 4.

4/8 = 1/2

Answer:

1/2

Step-by-step explanation:

you can divide the numbers by 4/4 and you'll get

1/2

The volume of the solid whose base is the semicircle y = √(16 - x²), where -4 < x < 4 and whose cross section perpendicular axis are squares is 256/3 unit³

To obtain the volume of a 3D shape, the cross-section area is discovered and then integrated across a predetermined limit. This technique is known as the cross-sectional method of volume fining. The area of the square base is determined in the given problem, and it is then integrated to determine the overall volume.

To find the volume we will first find the cross-sectional area and then integrate it with respect to x from -4 to 4.

Thus the volume is given as follows:

y = √(16 - x²)

V = ₋₄∫⁴ (√(16 - x²))² dx

V = ₋₄∫⁴ (16 - x²) dx

V = [16x - x³/3]₋₄⁴

V = (64 - 64/3 + 64 -64/3)

V = 256/3 unit³

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Answer: To answer this you'll want to find the average between 1995 and 1997

3010-2470=540

Then we'll divide by 2 since it is over the course of two years. 540/2=270

Step-by-step explanation: