A manufacturer tests a certain number of the headsets that are produced each day, with approximately 3% of the headsets found defective.

If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a % chance of finding a defective headset.

If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to .

Answer: 30

Step-by-step explanation:

the formula for the area of a triangle is base times height divided by 2

A=bh/2

the base in this triangle is 15 and the height is 4

(15)(4)/2

60/2

30

(i) Number of significant figures: (i) 12300: 3 (ii) 0.0301: 3 (iii) 3.5070: 5 (iv) 7.50×10⁻⁴: 3 (v) 7.50×10⁴: 3 (ii) Expressions with significant figures:

(i)\($11.0 + 1.10 = 12.1$\) (3 significant figures) (ii) \($11.0 - 1.10 = 9.90$\) (3 significant figures) (iii) \($11.0 \times 1.10 = 12.1$\) (3 significant figures) (iv) \($11.0 \div 1.10 = 10.0$\) (3 significant figures) (v) \($11 + 2 \times 10^{-21.8} \div 2 = 11$\) (3 significant figures)

(i) 12300: There are 3 significant figures in this number.

(ii) 0.0301: There are 3 significant figures in this number.

(iii) 3.5070: There are 5 significant figures in this number.

(iv) 7.50×10⁻⁴: There are 3 significant figures in this number.

(v) 7.50×10⁴: There are 3 significant figures in this number.

(i) 11.0 + 1.10 = 12.1

The answer, 12.1, has 3 significant figures.

(ii) 11.0 - 1.10 = 9.90

The answer, 9.90, has 3 significant figures.

(iii) 11.0 × 1.10 = 12.1

The answer, 12.1, has 3 significant figures.

(iv) 11.0 ÷ 1.10 = 10.0

The answer, 10.0, has 3 significant figures.

(v) \($11 + 2 \times 10^{-21.8} \div 2 = 11$\)

The answer retains the same number of significant figures as the largest value involved in the calculation. Therefore, the answer has 3 significant figures.

Learn more about number here: https://brainly.com/question/9315685

#SPJ11

Answer:

Up left, down right

Step-by-step explanation:

First, polynomials with odd degrees will have end behaviors in two different directions.

Since the leading coefficient is negative, the end behavior will be up left and down right.

So, the end behavior is up left, down right.

The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

We have to determine

The end behavior of a 9th-degree polynomial with a negative leading coefficient??

If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.

The equation of the 9th-degree polynomial is;

\(\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0\)

The degree of the polynomial is 9 which is odd.

Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

To know more about Polynomial click the link given below.

https://brainly.com/question/17822016

Answer:

y+4= 2(x+9)

Step-by-step explanation:

Slope-intercept form is y-y1=m(x-x1) (y1- y coordinate) (m- slope) (x1- x coordinate)

y-(-4)=2(x-(-9))

Negative times negative is positive

y+4=2(x+9)

Answer:

The specific surface area of soil and soil constituents can range from less than 0.1 m 2 g −1 (1 × 10 2 m 2 kg −1 ) for coarse sands to more than 800 m 2 g −1 (8 × 10 5 m 2 kg −1 ) for expandable clay minerals such as montmorillonite

The company should use a warranty period that is equal to 67,467.5 miles.

To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.

Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:

X = μ + zσ

Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).

Plugging in the values, we get:

X = 65,000 + 1.645(1500)

X = 67,467.5

This means that 95% of the tires will have a life of at least 67,467.5 miles.

To know more about distribution here

https://brainly.com/question/29509087

#SPJ4

Answer:

Lowest to highest

7/10 ,  11/15,   4/5

Step-by-step explanation:

Probably the easiest way to do this is to convert each of the fractions to decimals which will clearly indicate which is the highest and which the lowest etc.

4/5 = 0.80

11/15 = 0.73

7/10 = 0.7

0.7 is less than 0.73 is less than 0.80
So 7/10, 11/15, 4/5

However, I am assuming they want you to work with fractions

To compare fractions you have to get all the denominators equal and then compare the numerator

To get a common denominator find the Least Common Multiple of the denominators. This is the lowest number that can be divided by all three denominators

Looking at 5, 15 and 10 we can see that 30 is divisible by each denominator. So that becomes our common denominator

Now multiply each fraction denominator by a factor to make the denominator equal to the common denominator. At the same time multiply the numerator by the same factor

4/5 = (4 x 6) / (5 x 6) = 24/30    Highest

11/15 = (11 x 2) / (15 x 2) = 22/30

7/10 = (7 x 3) / (10 x 3) = 21/30      Lowest

Looking at the numerator alone we can see that 7/10 is the lowest, 11/15 is next lowest and 4/5 the highest

Answer:

121° and 59°

Step-by-step explanation:

We'll assign the two angles 'a' and 'b'. Since they are supplementary, this means they add to 180°. We can model this peoblem with the expressions:

a + b = 180° and a - b = 62°

Let's use the second equation to find a substitution for a:

a - b = 62°

a = 62° + b

Now substitute this in the first equation and solve:

(62° + b) + b = 180°

62° + 2b = 180°

2b = 118°

b = 59°

59° + 62° = 121° this is angle a

An

Step-by-step explanation:

In the case of F = 5, the resulting value of C = -15 indicates that it is a very cold temperature in Celsius.

To convert degrees Fahrenheit (F) to degrees Celsius (C), you can use the formula C = (5/9) * (F - 32). Let's apply this formula to find C for F = 5.

Substituting the given values into the formula, we have:

C = (5/9) * (5 - 32)

  = (5/9) * (-27)  [subtracting 32 from 5]

  = -135/9

  = -15

Therefore, when F = 5, the equivalent temperature in degrees Celsius is -15.

The formula for converting Fahrenheit to Celsius is derived from the relationship between the two temperature scales. In this formula, 32 represents the freezing point of water in Fahrenheit, and 5/9 is the conversion factor to adjust for the different scale intervals between Fahrenheit and Celsius.

By subtracting 32 from the Fahrenheit temperature and then multiplying it by 5/9, we account for the temperature offset and convert it to the Celsius scale.

The resulting value represents the temperature in degrees Celsius.

For more such questions on temperature,click on

https://brainly.com/question/25677592

#SPJ8

The standard deviation of the given sample data is 55.7, the standard deviation is a measure of how spread out the values in a data set are.

It is calculated by taking the square root of the variance. The variance is calculated by taking the average of the squared differences between each value in the data set and the mean.

In this case, the mean of the data set is 177.67. The variance is 3123.53. The standard deviation is the square root of 3123.53, which is 55.7.

Here is a step-by-step calculation of the standard deviation:

Calculate the mean:

mean = (184 + 169 + 120 + 271 + 230 + 114 + 163 + 241 + 110) / 9 = 177.67

Calculate the squared differences between each value in the data set and the mean:

(184 - 177.67)^2 = 32.49

(169 - 177.67)^2 = 4.84

(120 - 177.67)^2 = 240.96

(271 - 177.67)^2 = 554.89

(230 - 177.67)^2 = 190.49

(114 - 177.67)^2 = 343.69

(163 - 177.67)^2 = 23.04

(241 - 177.67)^2 = 242.25

(110 - 177.67)^2 = 359.29

Calculate the variance:

variance = (32.49 + 4.84 + 240.96 + 554.89 + 190.49 + 343.69 + 23.04 + 242.25 + 359.29) / 9 = 3123.53

Calculate the standard deviation:

standard deviation = sqrt(3123.53) = 55.7

To know more about root click here

brainly.com/question/16880173

#SPJ11

Answer:

x+y=72

2x=10y

Solve one equation, then plug the answer into the other.

x=5y

5y+y=72

6y=72

y=12

Now that we have one answer, we can use that to solve the final answer.

x+y=72

x+12=72

x=60

Step-by-step explanation:

The numbers would be 60 and 12.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the numbers would be x and y

Given that the sum of the two numbers is 72

So x + y = 72

And two times the first number equals 10 times the second number.

So 2x = 10y

Divided by 2 into both sides of the equation,

⇒ x = 5y

⇒ 5y + y=72

⇒ 6y = 72

⇒ y = 12

Substitute the value of y = 12 in the equation x + y = 72,

⇒ x + y = 72

⇒ x + 12 = 72

⇒ x = 72 - 12

⇒ x = 60

So x = 60 and y = 12

Hence, the numbers would be 60 and 12.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

In order to do well on BYU Calculus BC Explorations, you should have a solid understanding of the basic principles of calculus.

This includes understanding derivatives and integrals, as well as the fundamental theorem of calculus. Additionally, it is important to have a strong background in basic algebra and trigonometry, as these skills will be necessary for working with functions and equations. When solving problems, it is important to read the problem carefully and identify what type of calculus concept is being asked for. Once the concept is identified, you can use formulas and calculations to solve the problem. By working through problems in a systematic and logical way, you can make sure that you arrive at the correct answer.

Learn more about fundamental theorem of calculus here:

https://brainly.com/question/2293034

#SPJ4

Complete question:What is the best way to do well on BYU Calculus BC Explorations?

Mean absolute percentage error is used in situations where you need to compare forecasting methods for different time periods.

The most used metric for gauging forecast accuracy is mean absolute percent error. It belongs to the category of scale-independent percentage errors, which may be used to compare series on various scales.

MAPE = mean (| eᵢ |/yᵢ )*100

where eᵢ is the error term and yᵢ is the actual data at the time i.

The drawback of MAPE is that it loses definition if the actual figure for any observation in the data has a value of 0.

To know more about Mean absolute percentage error visit: brainly.com/question/14897415

#SPJ4

- Mean: 6,500
- Standard deviation: 450
- Sample size: 35


In order to determine the number of seats to include in the new baseball field, the owners of the baseball team can use statistical analysis based on a random sample of 35 games. The average attendance of these games is 6,500 people. This value, also known as the mean, can be used as an estimate for the average attendance of future games. The standard deviation of 450 people represents the variability or dispersion of attendance around the mean.

A smaller standard deviation suggests that attendance is more consistent, while a larger standard deviation indicates more variability. With a sample size of 35, the owners have a sufficient amount of data to make a more accurate estimation of the number of seats needed in the new baseball field. By rounding the mean to the nearest whole number, the owners can use 6,500 as a starting point for their calculations.

To know more about standard deviation visit:

https://brainly.com/question/13498201

#SPJ11

Answer:

2a^2b^3−a^2b^4

Answer:

Step-by-step explanation:

(-4+4)/2 = 0/2 = 0

(4+8)/2 =12/2= 6

(0, 6)

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

To know more about workforce, visit;
https://brainly.com/question/28843491
#SPJ11

Answer:

1/22

Step-by-step explanation:

Answer:

b. \(\frac{1}{24}\)

Step-by-step explanation:

2 cranberry so 2/12

and three banana so 3/12

\(\frac{2}{12} + \frac{3}{12} = \frac{5}{12}\)

\(\frac{5}{12} = \frac{1}{24}\)

idk how to explain it good but if it helps, I used a calculator to makes sure its correct:)

The equation y = 2/3x + 1  has a solution of (6, 5) and not (9, 8)

From the question, the equation is given as

y = 2/3x + 1

Also, we have the ordered pairs to be

(6, 5) and (9, 8)

For (6, 5), we have

x = 6 and y = 5

So, the equation becomes

5 = 2/3 x 6 + 1

Evaluate

5 = 5 --- true

For (9, 8), we have

x = 9 and y = 8

So, the equation becomes

8 = 2/3 x 9 + 1

Evaluate

8 = 7 --- false

Hence, (6, 5) is part of the solution and (9, 8) is not

Read more about equations at

https://brainly.com/question/18800361

#SPJ1

Answer: f(x)=10+2x

Step-by-step explanation: x = the number of years. 10 represents the starting length . please tell me if i was right

Answer: f(n)=2n+10

Step-by-step explanation:

Let:

C = Total cost

b = price for the shoe rentals = $15

g = Number of games

a = Price of each game = $4

a)

b) Since:

The slope represents an increase in cost.

c) The y-intercept represents the $15 cost up front

-----

Answer:

Blank 1:

Blank 2:

The slope represents an increase in cost.

Blank 3:

The y-intercept represents the $15 cost up front

A “full house” (3 cards of one kind and 2 cards of another kind)

Since there are 13 sets of each type, we have to select any 2 kinds of it.

The probability becomes : 2× ¹³C2 × ⁴C3 × ⁴C2 : ^52C5

On simplification,

= 3744 / 2598960

= 0.00144

So the probability of a “full house” is 0.00144.

Probability is a measure of the probability that an event will occur in future. Probability is expressed between 0 to 1 or in percentage".

There are three important things in discussing probability, namely trials (experiment), result (outcome). and events.

For example, the activity of tossing coins will result in the appearance of images or numbers, the activity of buying and selling shares will result in buying or selling events.

So the outcome is all the possible events that will occur as a result of an experiment or activity.

Events show the results that occur from an event. In every experiment or activity there is only one possible outcome. In the activity of buying and selling shares, if you don't buy, it means selling. When prices change, inflation or deflation occurs.

Learn more about probability at https://brainly.com/question/29381779.

#SPJ4

Answer: 25

Step-by-step explanation: I just entered the equation into my calculator like so.

A negative number times a negative number equals a positive number.

I hope this helps, have a nice day.

The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

To know more about length,

https://brainly.com/question/32191269

#SPJ11

For this particular question, the method that is not used to test hypotheses is the survey method.

What are the methods used to test hypotheses?                                                                                                                                                                       In statistics, hypothesis testing is a method of statistical inference that compares two hypotheses about a population. The following are methods used to test hypotheses:

Traditional (computed value) method:This method compares the test statistic to a critical value based on a predetermined alpha level, which is a value set to determine if the null hypothesis should be rejected.

P-value method: The P-value approach compares the test statistic to the p-value to determine if the null hypothesis should be rejected or not.

Confidence interval method: The confidence interval approach compares the test statistic to the lower and upper bounds of the confidence interval to determine if the null hypothesis should be rejected or not.

Survey method: The survey method is not used to test hypotheses, but it is a way of collecting data from a group of individuals to understand their opinions or attitudes.

To know more about " HYPOTHESIS TESTING" refer here:

https://brainly.com/question/31199947#

#SPJ11

Answer:

D

Step-by-step explanation:

We have the two linear equations:

\(\text{ Line 1: }y=3x+3\)

\(\text{ Line 2: }y=-3x-5\)

And we want to determine the relationship between them.

Let's go through each of the answer choices.

Parallel?

Remember that parallel lines have the same slopes.

The slope of Line 1 is 3, while the slope is Line 2 is -3.

Since they have different slopes, they are not parallel.

Perpendicular?

Perpendicular lines have slopes who are negative reciprocals of each other.

For example, the negative reciprocal of 2 will be -1/2. And the negative reciprocal of -1/2 is 2.

The slope of Line 1 is 3. The negative reciprocal of 3 is -1/3. This is not the slope of Line 2.

We can do it for Line 2 just to confirm. The slope of Line 2 is -3. The negative reciprocal of -3 is 1/3.

So, because their slopes are not negative reciprocals of each other, the two lines are not congruent.

Both?

No two lines can be both parallel and perpendicular simultaneously, so this is out of the question.

[N]either?

Yes indeed. They lines are neither parallel nor perpendicular, so this is our only choice.

And we're done!

Answer:

5. Angles FGE and CGE are supplementary

6. Angles FGE and BGC are vertical

7. Angles FGE and GED are adjacent

Step-by-step explanation:

Problem 5

Explanation:

The straight line EGB can be decomposed into the angle pieces of angle EGF and angle FGB. Another way we can break this straight angle down is to break it into angle EGA and angle AGB. Whichever route you go for, the smaller angles add back to 180 degrees. There are other possible answers you could go for. Check out the diagram below for a visual of these angles (shown in red)

========================================================

Problem 6

Answer: Angle AGB and angle EGD

Explanation:

Focus on lines AD and EB. They intersect at point G. The two lines form the opposite angles AGD and EGD which are considered vertical angles. Whenever we have an X shape like this, we'll have vertical angles in the opposite positions like this. Vertical angles are always congruent. There are other pairs of vertical angles shown in this diagram. Check out the diagram below for a visual of these angles (shown in blue)

========================================================

Problem 7

Explanation:

The angles BGC and CGD are right next to each other, so we consider them adjacent. They share the common ray GC. Think of it like two neighbors sharing a common wall in an apartment building. There are other possible answers you could go with as long as the two angles share a common ray or line, and also share a common vertex as well. Check out the diagram below for a visual of these angles (shown in green)