Answer:
y= 1/3x - 5/2 or D
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x - 6y = 15
-6y = -2x + 15
6y = 2x - 15
y = 2/6x - 15/6
y = 1/3x - 5/2
answer is C
How do you find the left, right, mean, and standard deviation for the normalcdf?
To find the left, right, mean, and standard deviation for the normalcdf, you can follow these two steps:
Find the mean and standard deviation of the normal distribution. Use the mean and standard deviation to determine the left and right bounds for the normalcdf.How do you find the left, right, mean, and standard deviation for the normalcdf?Finding the mean and standard deviation of the normal distribution.The mean of the normal distribution is denoted by μ (mu), and the standard deviation is denoted by σ (sigma). If you have been given the mean and standard deviation, you can skip this step. If not, you need to calculate these values.
For example, let's say you are given the following normal distribution:
X ~ N(50, 10)
Here, the mean is 50, and the standard deviation is 10.
Using the mean and standard deviation to determine the left and right bounds for the normalcdf.Once you have the mean and standard deviation, you can use them to determine the left and right bounds for the normalcdf.
The left bound is the smallest value in the range of values that you are interested in. The right bound is the largest value in the range of values that you are interested in.
For example, let's say you want to find the area under the normal distribution between x = 40 and x = 60. To do this, you need to find the left and right bounds.
Using the mean and standard deviation from Step 1:
μ = 50
σ = 10
To find the left bound, you subtract the mean from the left endpoint
left bound = 40 - μ = 40 - 50 = -10
To find the right bound, you subtract the mean from the right endpoint:
right bound = 60 - μ = 60 - 50 = 10
So the left and right bounds for the normalcdf are -10 and 10, respectively. You can then use these values to find the area under the normal distribution using a calculator or statistical software.
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if a normal distribution has mean 0 and standard deviation 1, what is the 97.5th percentile?
Therefore, the 97.5th percentile of a normal distribution with mean 0 and standard deviation 1 is 1.96.
The 97.5th percentile represents the value below which 97.5% of the data falls. In a normal distribution with mean 0 and standard deviation 1, the 97.5th percentile corresponds to a z-score of 1.96.
A z-score represents the number of standard deviations a data point is from the mean. In this case, a z-score of 1.96 means that the value corresponding to the 97.5th percentile is 1.96 standard deviations above the mean.
Using a standard normal distribution table or calculator, we can find that the area under the curve to the left of a z-score of 1.96 is 0.975. This means that 97.5% of the data falls below a z-score of 1.96.
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what is the slope for get fit gym?
−14x −45=613 what is x?
Answer:x= -47
Step-by-step explanation:
-14x-45=613
-14x = 658
x = -47
Answer:
x= -47 i'm sure i did it right but tripple check it for me
Step-by-step explanation:
add 45 to both sides
divide both sides by -14
x= -47
Answer the question in the picture attached
Answer:
The larger of the two numbers would be 9, and the smaller would be 8!
Step-by-step explanation:
9-8=1
9+8=17
a mixture of purple paint contains 4 teaspoons of red paint and 12 teaspoons of blue paint. to make the same shade of purple paint using 60 teaspoons of blue paint, how many teaspoons of red paint would you need?
Answer: you need 20 teaspoons of red paint
Compare your average K, at room temperature to the K, you measured at ele- vated temperature. If there is a difference, do you think it is significant, and if so, in which direction has the reaction shifted at the higher temperature?
The difference between the K values at room temperature and elevated temperature is significant, with the K increasing at higher temperatures. This indicates that the reaction has shifted to the right at higher temperatures, making it more likely to occur due to increased kinetic energy.
At room temperature, the average K for a reaction is around 10-25. At elevated temperatures, the average K may be higher or lower depending on the reaction. For example, if the reaction is endothermic, the K will decrease at elevated temperatures, while if the reaction is exothermic, the K will increase at elevated temperatures.Using the K value for a reaction at room temperature and the K value for the same reaction at elevated temperature, we can calculate the difference. For example, let's say the K at room temperature is 10, and the K at elevated temperature is 30. The difference between the two values is 20 (30-10). This difference is significant because it is greater than 10, the average value for K at room temperature.This difference of 20 indicates that the reaction has shifted to the right at higher temperatures. This means that the reaction is more likely to occur at higher temperatures as the K has increased. This is due to the increased kinetic energy of the molecules at higher temperatures, which allows them to react more efficiently.
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Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?
Answer:
Step-by-step explanation:
1/2
if the cycle time is 2 minutes/customer then how many customers are served per hour? multiple choice question. 15 20 30 60
If the cycle time is 2 minutes per customer, 30 customers can be served per hour.
The given cycle time is 2 minutes per customer. To calculate how many customers can be served per hour, we need to calculate the number of minutes in an hour as follows: 60 minutes = 1 hour.
The time taken for each customer is 2 minutes. Therefore, the number of customers that can be served per hour can be calculated as follows:
Number of customers per hour = (60 minutes/hour) ÷ (2 minutes/customer)
Number of customers per hour = 30 customers.
Therefore, the number of customers that can be served per hour is 30, according to the given cycle time of 2 minutes per customer.
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You roll two (standard, six-sided) dice. What is the probability that you do not roll "double sixes"?
10. A garden is to be surrounded by a paved
border of uniform width.
16 m
|-X-
L=16+X+x
L= 2x+16
W=14+x+x
W= 2x+14
14 m
a) Write a simplified expression for the
area of the border.
b) The border is to have an area of
216 m². Find the width of the border.
please someone help me with this problem
Answer:
x = 56
Step-by-step explanation:
The sum of a triangle add up to 180, so add all of the angles in the triangle and equate to 180
x + x + 7 + x + 5 = 180
collect like terms to simplify
3x + 12 = 180
subtract 12 on both sides
3x = 180 - 12
3x = 168
divide 3 on both sides
x = 168 ÷ 3
x = 56
A single card is drawn at random from a standard 52 card deck.
Work out the following probabilities in their simplest form:
P(9)=
Answer:
1/13
Step-by-step explanation:
There are four 9s in a standard deck of 52. So the probability is 4/52 = 1/13.
can the pythagorean theorem be used for any triangle
Answer:
No, only for right angle Δ
Step-by-step explanation:
It is only used for right angle triangles
will the sampling distribution of x overbarx always be approximately normally distributed? explain.
If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.
The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:
1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.
The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.
If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.
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assume that a grade of a, b, c, d, f, i, or nc is assigned to each of 10 students. in how many different ways can grades be assigned?
There are numerous ways to grade a class of ten students. There are seven possible grades that could be given (A, B, C, D, F, I, or NC), depending on the grading scheme employed.
This indicates that there are mathematically 7 to the power of 10 (710) distinct methods to give the kids grades. There are approximately 8.3 billion ways to grade the ten pupils, or 8,300,000,000 ways in total.
Because there are seven different grades for each student, this number is extremely high. The number of possible options increases exponentially because there are 10 pupils. As a result, there are countless alternatives for how to assess the 10 kids.
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If the volume of the cone is 120 cm", what is the volume of the cylinder?
Today is Derek's 25th birthday. Derek has been advised that he needs to have $2,176,097.00 in his retirement account the day he turns 65 . He estimates his retirement account will pay 8.00% interest. Assume he chooses not to deposit anything today. Rather he chooses to make annual deposits into the retirement account starting on his 27.00 th birthday and ending on his 65th birthday. How much must those deposits be? Answer format: Currency: Round to: 2 decimal places.
To accumulate $2,176,097.00 in his retirement account by age 65, Derek needs to make annual deposits of $5,000.00 starting on his 27th birthday and ending on his 65th birthday, assuming an 8.00% interest rate.
To determine the annual deposits Derek needs to make, we can use the future value of an ordinary annuity formula. First, we calculate the number of years between Derek's 25th and 65th birthdays, which is 65 - 25 = 40 years. Next, we calculate the future value of the retirement account using the given interest rate of 8.00%. Using the formula:
Future Value = Present Value * (1 + interest rate)^number of periods
In this case, the future value is $2,176,097.00, the interest rate is 8.00%, and the number of periods is 40. We can rearrange the formula to solve for the present value:Present Value = Future Value / (1 + interest rate)^number of periods
Substituting the values:Present Value = $2,176,097.00 / (1 + 0.08)^40 = $123,529.31 (rounded to 2 decimal places)
Now, we need to find the annual deposit amount. Since Derek starts making deposits on his 27th birthday and ends on his 65th birthday, he makes deposits for 65 - 27 = 38 years.Annual Deposit = Present Value / ((1 + interest rate)^number of periods - 1)Substituting the values:
Annual Deposit = $123,529.31 / ((1 + 0.08)^38 - 1) = $5,000.00 (rounded to 2 decimal places)Therefore, Derek must make annual deposits of $5,000.00 into his retirement account starting on his 27th birthday and ending on his 65th birthday to accumulate $2,176,097.00 by the time he turns 65.
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use+the+ti-84+plus+calculator+to+find+the+-scores+that+bound+the+middle+66%+of+the+area+under+the+standard+normal+curve.+enter+the+answers+in+ascending+order+and+round+to+two+decimal+places.
The z-scores that bound the middle 66% of the area under the standard normal curve are -0.43 and 0.43.
To find the z-scores that bound the middle 66% of the area under the standard normal curve using the TI-84 Plus calculator, you can follow these steps:
1. Turn on the calculator and press the "2nd" button, followed by "Vars" to access the DISTR menu.
2. Scroll down to "2: normalcdf(" and press enter.
3. Enter the lower bound of the middle 66% (left tail) as 0.17 (since 50% - 33% = 17%) and press comma ",".
4. Enter the upper bound of the middle 66% (right tail) as 0.83 (since 50% + 33% = 83%) and press comma ",".
5. Enter 0 for the mean and 1 for the standard deviation (since we are working with the standard normal distribution) and press enter.
The calculator will calculate the area under the standard normal curve between the given z-scores.
The z-scores that bound the middle 66% of the area under the standard normal curve are approximately -0.43 and 0.43 (rounded to two decimal places).
Therefore,To find the z-scores that bound the middle 66% of the area under the standard normal curve using the TI-84 Plus calculator, you can follow these steps:
1. Turn on the calculator and press the "2nd" button, followed by "Vars" to access the DISTR menu.
2. Scroll down to "2: normalcdf(" and press enter.
3. Enter the lower bound of the middle 66% (left tail) as 0.17 (since 50% - 33% = 17%) and press comma ",".
4. Enter the upper bound of the middle 66% (right tail) as 0.83 (since 50% + 33% = 83%) and press comma ",".
5. Enter 0 for the mean and 1 for the standard deviation (since we are working with the standard normal distribution) and press enter.
The calculator will calculate the area under the standard normal curve between the given z-scores.
The z-scores that bound the middle 66% of the area under the standard normal curve are approximately -0.43 and 0.43 (rounded to two decimal places).
Therefore, the z-scores that bound the middle 66% of the area under the standard normal curve are -0.43 and 0.43.
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If d = −5 and c = 15, evaluate |5−|.
We will have the following:
\(|5(15)-(-5)|=80\)***Explanation***
We have that absolute value is used in order to obtain magnitudes, and since magnitudes are positive those are the values we are going to obtain.
Now, for example:
|5| = 5
|-5| = 5
|420| = 420
|-69| = 69
|342| = 342
|-23| = 23
This is the nature of the absolute value, it gives us the positive value and thus the magnitude (In other words it removes the "direction" the value had.)
For the function f(x)=excos(x), let x0=0,x1=1, and x2=π/2. Use the Lagrange interpolating polynomial to approximate f(1.2) a. 1.0999 b. 1.0900 c. 1.1977 d. 1.1971 e. 1.0977
The approximation of f(1.2) using the Lagrange interpolating polynomial is approximately -2.2914. So, None of the provided options (a. 1.0999 b. 1.0900 c. 1.1977 d. 1.1971 e. 1.0977) are correct.
To approximate f(1.2) using the Lagrange interpolating polynomial, we need to determine the values of f(x_0), f(x_1), and f(x_2).
First, let's calculate f(x_0) = e^0 * cos(0) = 1 * 1 = 1.
Next, let's calculate f(x_1) = e^1 * cos(1) ≈ 2.7183 * 0.5403 ≈ 1.4715.
Finally, let's calculate f(x_2) = e^(π/2) * cos(π/2) ≈ 4.8105 * 0 ≈ 0.
Now, we can use the Lagrange interpolating polynomial formula:
P(x) = [(x - x_1)(x - x_2) / (x_0 - x_1)(x_0 - x_2)] * f(x_0) +
[(x - x_0)(x - x_2) / (x_1 - x_0)(x_1 - x_2)] * f(x_1) +
[(x - x_0)(x - x_1) / (x_2 - x_0)(x_2 - x_1)] * f(x_2)
Plugging in the values, we have:
P(x) = [(x - 1)(x - π/2) / (0 - 1)(0 - π/2)] * 1 +
[(x - 0)(x - π/2) / (1 - 0)(1 - π/2)] * 1.4715 +
[(x - 0)(x - 1) / (π/2 - 0)(π/2 - 1)] * 0
Simplifying further, we get:
P(x) = -2x(x - π/2) + 1.4715x(x - 1)
Now, substitute x = 1.2 into P(x):
P(1.2) = -2(1.2)(1.2 - π/2) + 1.4715(1.2)(1.2 - 1)
≈ -2.88 + 0.5886
≈ -2.2914
Therefore, the approximation of f(1.2) using the Lagrange interpolating polynomial is approximately -2.2914.
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the sum of two numbers is 15. one number is 4 times the other. letimage andimage represent the two numbers. which system of equations correctly represents this problem?
The two numbers are 3 and 12 when 15 is the result of sum two numbers. One to two are compared in a 4:1 ratio.
Given that,
15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.
We have to find which two numbers are they.
We know that,
Let take x and y to denote the two numbers
We get
x + y = 15 ----->equation(1)
x = 4y ----->equation(2)
Substitute the 4y in equation(1)
(4y) + y = 15
5y = 15
Divide both sides by 5
y = 3.
Substitute y=3 in equation(2)
x=4(3)
x = 12
Therefore, The two numbers are 3 and 12 when 15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.
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Pls help with explanations
Answer:
a. Obtuse
b. Acute
c. Acute
Step-by-step explanation:
Angles and their names
An angle greater than 90° is an obtuse angleAn angle less than 90° is an acute angleAn angle equal to 90° is a right angleAn angle equal to 180° is a straight angleAn angle equal to 360° is a complete or whole angle.In part a, we have an angle greater than 90°, so it's an obtuse angle
In part b, we have an angle less than 90°, so it's an acute angle
In part c, we have an angle less than 90°, so it's an acute angle
-Chetan K
What is this expression in simplified form?
3✓3 • 6✓6 (Square root)
Answer:
54√2
Step-by-step explanation:
3√3 . 6√6 = (3 . 6)√(3 . 6)
= 18√18
= 18√9 . √2
= 18 . 3√2 = 54√2.
Determine whether ΔA B C and Δ A'' B''C'' are congruent. Explain your reasoning.
Activity 1
In order to determine if triangles ΔABC and ΔA''B''C'' are congruent, we need additional information or conditions to compare the corresponding sides and angles of the two triangles. Without any specific information provided, it is not possible to definitively state whether the triangles are congruent or not.
Congruence of triangles requires the corresponding angles and sides of the two triangles to be equal. This can be proven using various methods such as the Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Side-Side-Side (SSS) congruence criteria. Without any information about the angles or side lengths of the triangles, it is impossible to apply these criteria and determine their congruence. Therefore, based on the given information alone (Activity 1), we cannot determine whether triangles ΔABC and ΔA''B''C'' are congruent or not.
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Select one of the options below as your answer:
A. Gary: The balance in his check register is $500 and the balance in his bank statement is $500.
B. Gail: The balance in her check register is $400 and the balance in her bank statement is $500.
C. Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.
The statement that shows a discrepancy between the check register and bank statement is: C. Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.
The check register shows a balance of $500, while the bank statement shows a balance of $510.
In the case of Gavin, where the balance in his check register is $500 and the balance in his bank statement is $510, there is a $10 discrepancy between the two.
A possible explanation for this discrepancy could be outstanding checks or deposits that have not yet cleared or been recorded in either the check register or the bank statement.
For example, Gavin might have written a check for $20 that has not been cashed or processed by the bank yet. Therefore, the check register still reflects the $20 in his balance, while the bank statement does not show the deduction. Similarly, Gavin may have made a deposit of $10 that has not yet been credited to his account in the bank statement.
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A point (–2, 6) is rotated 270o around the origin. What are the coordinates of the new point?
Answer:
CLOCKWISE- (2,-6)
COUNTERCLOCKWISE-(2,6)
Step-by-step explanation:
What is the surface area ,in square meters of the toy box
Answer:426m^2
Step-by-step explanation:
with respect to parenting style, coercive is to confrontative as _____ is to _____.
With respect to parenting style, coercive is to confrontative as authoritative is to assertive.
Both pairs involve a parent asserting their authority and expectations, but the former is done through negative reinforcement and the latter is done through positive reinforcement. Coercive parenting is characterized by the use of punishment and criticism to control behavior, while confrontative parenting involves verbal aggression and conflict to establish dominance.
These styles are often associated with negative outcomes such as increased aggression, lower self-esteem, and decreased academic achievement. On the other hand, authoritative parenting is based on clear rules and boundaries that are communicated in a supportive and nurturing environment. This style is associated with positive outcomes such as higher academic achievement, increased self-esteem, and improved social skills.
Similarly, assertive parenting involves clear communication of expectations and limits, but in a positive and respectful manner. Overall, while both coercive and confrontative parenting involves the assertion of authority, authoritative and assertive parenting involves setting limits and expectations in a positive and supportive manner, which leads to better outcomes for children.
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3/4x+2=9/10 Rewrite the equation below so that it does not have fractions.
Do not use decimals in your answer
Answer:
im not sure if this helps but you can write it with letter like this y = mx + b
Step-by-step explanation: