Find the value of X. Round to the nearest degree

To solve this problem, we can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:
- P(X=k) is the probability of getting k nonconforming washing machines in the sample
- n is the sample size, which is 10 in this case
- p is the probability of getting a nonconforming washing machine, which is 0.08
- (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n without replacement, and is calculated as n! / (k! * (n-k)!)

So, to find the probability of getting 1 nonconforming washing machine in the sample, we plug in k=1:

P(X=1) = (10 choose 1) * 0.08^1 * (1-0.08)^(10-1)
P(X=1) = 10 * 0.08 * 0.9227
P(X=1) = 0.0738

Therefore, the probability of getting 1 nonconforming washing machine in the sample is approximately 0.0738, or 7.38%.

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A: Liam is correct. The graph shows a positive correlation between ice cream sales and temperature. As the temperature increases, ice cream sales also increase.

B: Armonte is not correct. There are a few reasons why the graph represents a correlation and not causation:

Correlation does not imply causation. Just because two variables are correlated, it does not mean that one variable causes the other.

There could be other variables that are affecting both ice cream sales and temperature. For example, if the graph was plotted over a long period of time, there may be seasonal factors that affect both variables, such as summer months having higher temperatures and more ice cream sales.

The graph only shows a relationship between ice cream sales and temperature, but it does not prove causation. To establish causation, a controlled experiment would need to be conducted to show that changes in temperature cause changes in ice cream sales.

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If your height is 5 feet 3 inches and your weight is 120 pounds, then the BMI is 21.23

To calculate your Body Mass Index (BMI), use the following formula:

BMI = weight in kilograms / (height in meters)²

First, convert your height to meters :

5 feet 3 inches = 63 inches

63 inches = 160.02 cm

160.02 cm = 1.6002 meters

Next, convert your weight to kilograms :

120 pounds = 54.43 kg

Now, plug in these values to calculate your BMI:

BMI = 54.43 kg / (1.6002 meters)²

Divide the terms

BMI = 21.23

Therefore, your BMI is approximately 21.23

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Answer:

14

Step-by-step explanation:

Answer:

The length of segment DC is 33 units.

Step-by-step explanation:

A perpendicular bisector of line segment divides the line into two equal parts at 90°.

This implies that the perpendicular bisector of line segment AC at B divides the line Ac into two equal parts AB and BC.

It is given that:

BC = 23 units

AB = 2x + 7 units

AD = 4x + 1 units

The measure of AB is 23 units, according to the perpendicular bisector definition.

Compute the value of x as follows:

AB = 2x + 7

23 = 2x + 7

2x = 23 - 7

2x = 16

x = 8 units

Then the measure of side AD is:

AD = 4x + 1

     = 4 × 8 + 1

     = 32 + 1

     = 33 units

Consider the diagram below.

Consider the right-angled triangle ABD.

Use Pythagoras theorem to compute the length of DB² as follows:

\(AD^{2}=DB^{2}+AB^{2}\\\\33^{2}=DB^{2}+23^{2}\\\\DB^{2}=560\)

Consider the right angles triangle DBC.

Use Pythagoras theorem to compute the length of DC² as follows:

\(DC^{2}=DB^{2}+BC^{2}\\\\=560+23^{2}\\\\=560+529\\\\=1089\\\\DC=\sqrt{1089}\\\\=33\)

Thus, the length of segment DC is 33 units.

Answer:

C. 33

Step-by-step explanation:

EDG 2020

Answer:

Ans. C. Square feet is the explanatory variable and rent price is the response variable. Square feet should be placed on the horizontal axis of the scatterplot and rent price on the vertical axis.

Step-by-step explanation:

did the test

Answer: D

Step-by-step explanation: I think

The solution to the equation √(2 + 2x) - 6 = 2 when evaluated is x = 31

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

√(2 + 2x) - 6 = 2

So, we have

√(2 + 2x) = 8

Take the square of both sides

so, we have the following representation

2 + 2x = 64

Evalyate the like terms

2x = 62

Divide by 2

This means that

x = 31

Hence, the solution is x = 31

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Complete question

What is √(2 + 2x) - 6 = 2

Answer:

They are different because they have different signs

Step-by-step explanation:

In 4,9 both values are positive whereas in 4,-9 the 9 is negative and the 4 is positive.

a. The account balance is $1000 when opened.

b. $1,060 is the balance after 1 year.

c. 42.98 years as per compound interest.

Compound interest is a type of interest that is calculated not only on the principal amount of a loan or investment but also on the accumulated interest from previous periods. This means that interest is added to the principal amount, and the new total becomes the basis for calculating interest in the next period.

In the given question,

a. When the account is opened, t = 0. Therefore, the balance is:

1 × e(0.06 × 0) = 1 × e⁰ = 1

The account balance is $1,000 when it is opened.

b. After 1 year, t = 1. Therefore, the balance is:

1 × e(0.06 × 1) ≈ 1.06

The account balance is approximately $1,060 after 1 year.

c. After 2 years, t = 2. Therefore, the balance is:

1 × e(0.06 × 2) ≈ 1.123

The account balance is approximately $1,123 after 2 years.

Diego's statement is not accurate. The expression In 5 represents the natural logarithm of 5, which is approximately 1.609. It does not represent the time, in years, when the account will have 5 thousand dollars.

To find the time when the account will have a balance of $5,000, we need to solve the equation:

1 × e(0.06t) = 5

Dividing both sides by 1:

e(0.06t) = 5

Taking the natural logarithm of both sides:

ln(e(0.06t)) = ln(5)

0.06t = ln(5)

t = ln(5) / 0.06 ≈ 11.55

Therefore, the account will have a balance of $5,000 after approximately 11.55 years.

We can use the same equation as in part 2 to find out if the account balance will reach $1,000,000. We need to solve the equation:

1 × e(0.06t) = 1000

Dividing both sides by 1:

e(0.06t) = 1000

Taking the natural logarithm of both sides:

ln(e(0.06t)) = ln(1000)

0.06t = ln(1000)

t = ln(1000) / 0.06 ≈ 42.98

Therefore, the account balance will reach $1,000,000 after approximately 42.98 years.

Whether or not this will make you a millionaire by the time you reach retirement depends on when you plan to retire and how much money you need for retirement. If you plan to retire in less than 43 years or you need more than $1,000,000 for retirement, then this account alone will not make you a millionaire.

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The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333

The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:

The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.

(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.

(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:

P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

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If Jack weighs 156 pounds on Earth then his weight on the moon would be 26.52 pounds.

We can determine Jack's weight on the moon by multiplying his weight on Earth by the difference between the two gravities if the surface gravity on the moon is 0.17 of the surface gravity on Earth.

The first way to get Jack's weight on the moon is to multiply his weight on Earth (156 pounds) by the gravitational ratio between the two bodies. (0.17).

Our total weight is 156 × 0.17 = 26.52 pounds.

Jack would therefore weigh around 26.52 pounds on the moon. This is due to the fact that the gravitational force between two objects is inversely proportional to the square of their separation and directly proportional to the product of their masses.

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Answer:

6.68

Step-by-step explanation:

To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.

6.675 rounded to the nearest hundredth = 6.68

Pete relies on personal observations and experiences as empirical evidence to support his belief about the automatic carwash damaging cars.

In this scenario, Pete is relying on empirical evidence as his source of knowledge. Empirical evidence is based on direct observation or experience. Pete's belief that the automatic carwash damages cars stems from the repeated occurrences of finding new dings in his car after each visit. He has personally observed this cause-and-effect relationship, leading him to conclude that the automatic carwash is responsible for the damages.

Pete's reliance on empirical evidence is grounded in his own experiences and perceptions. It is important to note that while empirical evidence can be valuable in forming beliefs and drawing conclusions, it is also limited. Pete's individual experiences may not necessarily reflect the broader truth. Other factors such as the specific carwash he visits, the condition of his car prior to the wash, or even coincidental events could contribute to the dings on his car.

To validate his conclusion, Pete could consider gathering additional evidence from other car owners who use the same automatic carwash or seek expert opinions from professionals in the automotive industry. This would provide a more comprehensive and reliable understanding of the situation.  

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Answer:

1) 102

2) 62

Step-by-step explanation:

12 + 5 + 3²  × 10 - 5

12 + 5 + 9 × 10 - 5

12 + 5 + 90 - 5

17 + 90 - 5

107 - 5

102

(12+5) + 3² × (10 - 5)

(17) + 9 × (5)

17 + 45

62

Answer:25/4

x2 - 5x + _____ = 7. Summary: The constant term that should be used to complete the square? x2 - 5x + _____ = 7 is 25/4.

Step-by-step explanation: hope this helps you

Answer: 38 divided by 8 which would equal 4.75 or 4 3/4 feet each day.

Step-by-step explanation: You divide the amount of total feet by the amount of days it took.

The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:

3.3 + 4x = -6.9x + 6.6

Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:

4x + 6.9x = 6.6 - 3.3

Combine the x terms on the left side:

10.9x = 3.3

Now, divide both sides of the equation by 10.9 to solve for x:

x = 3.3 / 10.9

Using a calculator, we can find the decimal approximation of x:

x ≈ 0.3028

Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.

In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

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Answer:

Hi it can't be solved because a equation can't have 2 variables

Answer:

the answer is D!

Step-by-step explanation:

I took that quiz :)

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer: Step 4

Step-by-step explanation:

1. Define variable x as student signatures still needed  (Correct)

\(2)\ \dfrac{x+82}{426}\)              (Correct)

3. 25% = 0.25      (Correct)

\(4)\ \dfrac{x+82}{426}\leq 0.25\)      (Error)!

The inequality symbol should be GREATER THAN or equal to (≥) because Jose needs 25% or more (not less).

Answer:

In Step 4, the inequality should be StartFraction x + 82 over 426 EndFraction greater-than-or-equal-to 0.25.

                                         ¯\_     _/¯

      ( ﾉ ﾟｰﾟ)ﾉ                                                                                     ＼(ﾟｰﾟ＼)

Answer:

3,2

No explantation needed,

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Answer:

Let's denote the total cost as C and the number of hours as h. The equation to model this relationship can be written as:

C = 5 + 0.25(h - 2)

The first part, 5, represents the flat rate for 2 hours or less. The second part, 0.25(h - 2), represents the additional hours beyond 2 hours, where each hour costs $0.25.

To calculate the cost of parking for 10 hours, we can substitute h = 10 into the equation:

C = 5 + 0.25(10 - 2)

C = 5 + 0.25(8)

C = 5 + 2

C = $7.00

Therefore, you would have to pay $7.00 to park for 10 hours.

To find out how many hours $10 will buy, we can set the equation equal to $10 and solve for h:

10 = 5 + 0.25(h - 2)

0.25(h - 2) = 10 - 5

0.25(h - 2) = 5

h - 2 = 5 / 0.25

h - 2 = 20

h = 20 + 2

h = 22

Therefore, $10 will buy you 22 hours of parking