In the Sahara desert, the highest temperature ever recorded was 136°. The lowest temperature recorded in the Gobi desert is -50°. What is the difference in their temperatures?

The correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct. The probability P(X > 18) is related to P(X < 18) in such a way that: P(X > 18) is the same as 1 − P(X < 18).

Explanation:

The mean length of a certain product X is μ = 18 inches.

As we know that the length of a certain product X is normally distributed.

So, we can conclude that: Z = (X - μ) / σ, where Z is the standard normal random variable.

Let's find the probability of X > 18 using the standard normal distribution table:

P(X > 18) = P(Z > (18 - μ) / σ)P(Z > (18 - 18) / σ) = P(Z > 0) = 0.5

Therefore, P(X > 18) = 0.5

Using the complement rule, the probability of X < 18 can be obtained:

P(X < 18) = 1 - P(X > 18)P(X < 18) = 1 - 0.5P(X < 18) = 0.5

Therefore, the probability P(X > 18) is the same as P(X < 18).

Hence, the correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct.

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The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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Answer:

Step-by-step explanation:

3, 7, and 4 are 35 degrees

subtract 35 from 180 to get 145.

1, 2, 5, and 6 are 145

Answer:

150.56

Step-by-step explanation:

I took the test

Answer:

150.56

Step-by-step explanation:

Step-by-step explanation:

√(3 * 7 * 2 * 7 * 3 * 2 = √(2² * 3² * 7²) = 2 * 3 * 7 = 42.

√(13² * 5²) = 13 * 5 = 65.

Approximately 64 students in the accounting class scored less than 65 or more than 75.

To solve this, we'll use the Empirical Rule, which states that for a normal distribution:

1. Approximately 68% of the data falls within one standard deviation of the mean.
2. Approximately 95% of the data falls within two standard deviations of the mean.
3. Approximately 99.7% of the data falls within three standard deviations of the mean.

In your accounting class, the mean score is 70, and the standard deviation is 5. We want to find the number of students who scored less than 65 (one standard deviation below the mean) or more than 75 (one standard deviation above the mean).

Using the Empirical Rule, we know that about 68% of students scored between 65 and 75 (within one standard deviation of the mean). Therefore, the remaining 32% of students scored either less than 65 or more than 75.

Since there are 200 students in the class, we can calculate the number of students who scored less than 65 or more than 75:

0.32 * 200 = 64 students

So, approximately 64 students in the accounting class scored less than 65 or more than 75.

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A. Both \(f(x)\) and \(g(x)\) have the same domain of \((9, +\infty)\).

In this question we must analyze the domain, range, x-intercepts and increase intervals:

\(Dom \{f(x)\} = \mathbb{R}\)

\(Dom \{g(x)\} = \mathbb{R}\)

Both functions are continuous.

\(Ran \left\{f(x)\right\} = (3.875, +\infty)\)

\(Ran \{g(x)\} = (-5, +\infty)\)

\(f(x):\) \((x,y) = \emptyset\)

\(g(x):\) \((x,y) = (2.322, 0)\)

\(f(x):\) According to the graph, \(f(x)\) increase over the interval of \((3.875, + \infty)\).

\(g(x) :\) According to the graph, \(g(x)\) increase over the interval of \(\mathbb{R}\)

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. \(\blacksquare\)

The statement presents mistakes and is poorly formatted. Correct form is:

Given a polynomial function \(f(x) = 2\cdot x^{2}-3\cdot x + 5\) and an exponential function \(g(x) = 2^{x}-5\). What key features do \(f(x)\) and \(g(x)\) have in common?

A. Both \(f(x)\) and \(g(x)\) have the same domain of \((9, +\infty)\).

B. Both \(f(x)\) and \(g(x)\) have the same range of \((-\infty, 0]\).

C. Both \(f(x)\) and \(g(x)\) have the same x-intercept of \((2,0)\).

D. Both \(f(x)\) and \(g(x)\) increase over the interval of \((-4, +\infty)\).

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Answer:

The graph is translated 5 units up

Step-by-step explanation:

Answer:

anything greater than 3/5

Step-by-step explanation:

equation: x is greater than 3/5

Answer:

4/5, 5/5, 1,2,3,4,5,6,7,8.

Step-by-step explanation:

3/5 in decimal form is .60

Therefore any number higher than .60 is greater than 3/5.

3/5 is .60 because if it were 5/5 it would equal 1.00

so 1 divided by 5 is .20 so 3(.20) is equal to .60.

Statistical process control technique that permits only 3.4 defects per million opportunities is Six Sigma.

Six Sigma is a statistical technique that emphasizes the necessity of a standardized approach to enhancing and optimizing the efficiency of the production and management processes by reducing the variation and waste within them. It concentrates on controlling a process to ensure that the results of a process are consistent and reliable by using statistical methods. The objective of the Six Sigma process is to produce 3.4 errors or defects per million opportunities. If the process is better than Six Sigma, it is considered more consistent and predictable.
Six Sigma's statistical approach to process control encompasses a range of tools and methods. Six Sigma's primary objective is to increase revenue and profits by developing and delivering high-quality products and services while eliminating defects and reducing waste.
Six Sigma aims to improve quality by detecting and reducing the reasons for variations in production processes. It accomplishes this by developing quality management practices that enable it to assess quality, establish goals, and implement best practices to achieve those goals.
In conclusion, Six Sigma is a process control approach that emphasizes statistical methods for process control and improvement. Six Sigma is used to reduce variability and eliminate waste, and its goal is to achieve 3.4 defects per million opportunities.

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Answer:

k=10

Step-by-step explanation:

The reason is that we should solve the following equation:

4k+5 + 6k+10 + (180-115) = 180

by doing some basic algebra we get:

10k = 100

thus: k=10

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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The expression represents the total number of points the player scored in the game:  2x+ 3x + 9

The correct option is A.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-dependent principles.

When something is expressed, the methods of expression change it in the process of communication. extracted from the Cambridge English Corpus. There were two conceivable orthographic expressions for this awareness.

Let x=number of 2-point attempts.

Free throws made equal 9 points.

A point is scored when x 2-point attempts are made.

After the break,

Number of 3-pointers divided by first-half 2-point attempts equals x

Point scored in x 3-point attempts equals 3 times.

Consequently, the player's overall point total during the contest is provided by : 2x+ 3x + 9

Consequently, the formula that denotes the total amount of points each player scored during the game is as follows: 2x+ 3x + 9

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I understand that the question you are looking for is:

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

A. 2x + 3x + 9

B. 2x + 3 + 9

C. 2x + 3x + 9x

D. 2 + 3x + 9

Answer:

12

Step-by-step explanation:

This is a rather simple one is it not? We know that there are 40 students in the class and 30% wear spectacles. Your current answer (30/40) is wrong unfortunatly because it assumes that it is 30% of 100 as a percent is percentage of 100 (eg. 30% is 30/100).

Expression: 30%*40.

Converting the percent to a decimal (30/100), we get 0.3.

Then simple multiplication, 0.3*40 which is 12.

ANSWER

C. 12

EXPLANATION

1/3 of the pizzas is:

Therefore, 6 pizzas were cheese and the rest were pepperoni:

There were 12 pepperoni pizzas.

Answer: 1259 meters

Step-by-step explanation:

Highest elevation = 1232 meters

Lowest elevation = -27 meters

The difference in elevation between the highest and lowest points will be:

= 1232 - (-27)

= 1232 + 27

= 1259 meters

Note that (-) × (-) = +

Answer:

x = 70

Step-by-step explanation:

Both angles must add up to 180°, by the definition of a line.

Step 1: Set up equation

x - 31 + 2x + 1 = 180

Step 2: Solve for x

3x - 30 = 180

3x = 210

x = 70

Answer:

translation

Step-by-step explanation:

Answer:

(a^4+b^4)/(a^2b^2)

Step-by-step explanation:

It will take both machines approximately 1.71 hours or 1 hour and 42 minutes to produce widgets together.

To solve this problem, we can use the formula:

1 / time taken by machine 1 + 1 / time taken by machine 2 = 1 / time taken by both machines

Let's denote the time taken by the old machine as x hours and the time taken by the new machine as y hours.

From the problem statement, we know that the old machine can produce widgets in 3 hours, so we have:

1 / x = 1 / 3

Solving for x, we get:

x = 3

Similarly, we know that the new machine can produce widgets in 4 hours, so we have:

1 / y = 1 / 4

Solving for y, we get:

y = 4

Now, we can plug in the values of x and y into the formula and solve for the time taken by both machines:

1 / 3 + 1 / 4 = 1 / t

Multiplying both sides by 12t, we get:

4t + 3t = 12

7t = 12

t = 12 / 7

Therefore, it will take both machines approximately 1.71 hours or 1 hour and 42 minutes to produce widgets together.

In conclusion, we used the formula for the combined work rate of two machines to calculate the time taken by both machines to produce widgets. We first found the individual work rates of the old and new machines and then substituted those values into the formula to solve for the time taken by both machines working together.

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The coordinates of the vertices of the image after a reflection

in the x-axis is K(4, 2) , L(6, 1) and M(5, 5).

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

A KLM has coordinates K(4, -2), L(6, -1), and M(5, 5).

According to given question we have

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

So,

K(4, -2) can changed to K(4, 2) .

L(6, -1) can changed to L(6, 1).

M(5, 5) can changed to M(5, 5).

Therefore, the coordinates of the vertices of the image after a reflection

in the x-axis is K(4, 2) , L(6, 1) and M(5, 5).

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Answer:

6/21

Step-by-step explanation:

bc thats the answer

Answer:

Simplified: 6/15 = 2/5

Step by-step explanation:

Answer:

Step-by-step explanation:

f(x) = 3x - 1

g(x) = 2x + 1

To find (f +g)(3) , first find (f + g)(x)

To find (f + g)(x) add g(x) to f(x)

That's

(f + g)(x) = 3x - 1 + 2x + 1

= 3x + 2x + 1 - 1

(f + g)(x) = 5x

Now to find (f + g)(3) substitute 3 into

(f + g)(x)

That's

(f +g)(3) = 5(3)

Hope this helps you

Answer:

1= 2,400 feet

2= 154 meters

3= 120 pints

4= 2. 056 centigrams

5= 16.1 C

6= 50F

7= -2.8C

1= multiply the length value by 3

2= divide the length value by 10

3= multiply the volume value by 8

4= divide the mass value by 10

5= Take the °F temperature and subtract 32. Multiply this number by 5. Divide this number by 9 to obtain your answer in °C.

6= multiply the temperature in degrees Celsius by 2, and then add 30 to get the (estimated) temperature in degrees Fahrenheit.

Answer:

1) 800 yards into feet.

Now

we have

1 yard=3ft

800yard=800*3=2400ft

2) 1,540 decimeters into meters

we have

10deci meter=1 meter

1decimeter =1/10meter

1540decimetre=1540/10=154meters

3) 15 gallons into pints

1 gallon =8 pints

15 gallons=8*15=120pints

4) 20.56 milligrams into centigrams

we have

10milligram=1 centigram

20.56milligram=1*20.56/10=2.056centigram

5) 61°F to C°

Formula

(61°F − 32) × 5/9 = 16.11°C

61°F=16.11°C

6) 10°C to °F

Formula

(10°C × 9/5) + 32 = 50°F

10°C =50°F

7) 27°F to °C

Formula

(27°F − 32) × 5/9 = -2.78°C

27°F=-2.78°C

The scenario for test statistic is estimated z-score to make inferences about the population mean which is unknown.

x is the sample mean = 11

μ is the population mean = unknown

σ is the population standard deviation = 5

And n is the sample size= 1,166

Assuming a normal distribution for the number of alcoholic beverages consumed per week,

Use a z-test to calculate the test statistic.

The formula for the z-score is,

z = (x - μ) / (σ / √(n))

Since the population mean is unknown,

Not possible to calculate the exact z-score,

Calculate an estimated z-score using the sample mean,

z = (x - μ) / (σ / sqrt(n))

z = (11 - μ) / (5 / sqrt(1166))

z ≈ (11 - μ) / 0.146

Therefore, need to know the population mean μ for the z-score in the calculated test statistic.

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In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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Answer:

I wish I could help  but i did not learn this  yet

Step-by-step explanation:

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Answer:

14

Step-by-step explanation:

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

x < 2

Step-by-step explanation:

The indicated part is left from point 2.

You see an open circle at point (2,0) which means you should exclude the point x = 2 in the inequation.

Now you have enough info to get the right inequality:

x < 2