Micron Electronics makes both desktop and laptop personal computers that they sell directly to customers by phone or over the internet. In addition to making the computers, Micron provides customer support via a 1-800 number. Recently, the manager of the service department conducted a study of the time customers spent on hold waiting for a Micron representative to become available. The data showed that the distribution of time spent on hold is approximately normally distributed, with a mean of 18 minutes and a standard deviation of 4 minutes. (a) Based on this information, what is the probability that a customer will have to wait more than 11.3 minutes

Answer:

one 5 and 2 ones hope this will help u

Answer:

One and five should be the answer.

To determine whether the relation is a function, we need to check if each x-value is associated with only one y-value in the mapping diagram.

A mapping diagram is a picture of two circles that shows the connection between input and output values. Illustration of a mapping diagram. The x-values (inputs) in the image are converted to the associated y-values by drawing an arrow from one x-value to its corresponding y-value (outputs).

From the given mapping diagram, we can see that the x-value -8 is associated with the y-value -4, the x-value -5 is associated with the y-value -2, the x-value -1 is associated with the y-value -2, the x-value 1 is associated with the y-value -2, the x-value 12 is associated with both the y-value -4 and -2.

Since the x-value 12 is associated with two different y-values, the given relation is not a function. To be a function, each x-value must be associated with only one y-value in the mapping diagram.

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Answer: I think its C lmk if I'm wrong

Explanation:

To determine which data set will follow the simple linear regression (SLR) model, we need to look for a relationship between the independent variable (xi) and the response variable (yi).

The SLR model assumes that there is a linear relationship between the two variables, meaning that as the value of xi increases or decreases, the value of yi also increases or decreases in a straight line.
Therefore, the data set that shows a clear linear relationship between xi and yi is most likely to follow the SLR model. We can use a scatter plot to visualize the relationship between the two variables and determine if it is linear.
If the scatter plot shows a roughly straight line relationship between xi and yi, then the data set is likely to follow the SLR model. On the other hand, if the scatter plot shows a curved or non-linear relationship between xi and yi, then the data set is not likely to follow the SLR model.
So, in summary, the data set that shows a clear linear relationship between xi and yi is the one that is most likely to follow the simple linear regression (SLR) model.

Simple linear regression (SLR), it is important to note that SLR is a method used to model the relationship between a response variable (yi) and an independent variable (observation xi). In this model, the response variable yi is a linear function of the independent variable xi.
Since you have not provided specific data sets to choose from, I am unable to directly indicate which data set will follow this model. However, to identify a data set that would likely follow the simple linear regression model, look for one that exhibits a linear relationship between the independent variable (xi) and the response variable (yi). In such a data set, you would observe a pattern where, as xi increases or decreases, yi would also consistently increase or decrease in a relatively straight line.
To summarize, to determine if a data set follows the simple linear regression model, check if it exhibits a linear relationship between the independent variable (observation xi) and the response variable (yi).

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The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.

To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.

Using the given information, we can plug in the values and solve for FV:

PV = $150,000

Pmt = $4,000

r = 10%

n = 4 (since interest is compounded quarterly)

t = 15 years

First, we need to calculate the future value of the current investment of $150,000:

FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24

Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:

FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23

Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:

Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47

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The domain of the function f(x) = x² is all real numbers, including negative numbers, zero, and positive numbers.

The domain of a function is the set of all values for which the function is defined. For the function f(x) = x², the domain is all real numbers. This includes negative numbers, zero, and positive numbers. This means that the function is defined for any real number, no matter how large or small. In other words, the domain of f(x) = x² is the set of all real numbers, {x ∈ R}. This is because the square of any real number is still a real number, and so the function is defined for all real numbers. Thus, the domain of f(x) = x² is all real numbers.

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We know that the sum of the angles of a triangle is 180 degrees. So, we can find the value of angle LNM as follows:

m/L + m/M + m/N = 180 degrees

Substituting the given values, we get:

40 + 41 + m/N = 180

m/N = 99

Now, we can see that angle LNM is greater than both angles L and M. So, we can conclude that:

OMN > NL > LM

The number of llamas in the petting zoo has 13, and the number of kangaroos is 34.

Let the number of llamas in the petting zoo be x, and the number of kangaroos in the petting zoo be y.

Thus, we can write two equations from the given conditions:

Equation 1: x + y = 47

Equation 2: 4x + 2y = 120

(since each llama has 4 legs and each kangaroo has 2 legs)

Simplifying equation 2:2x + y = 60

Now we have two equations with two unknowns.

To solve them, we can either use substitution or elimination.

Using substitution, we can solve equation 1 for y in terms of x:y = 47 - x

Now we substitute this expression for y in equation 2:2x + (47 - x) = 60

Simplifying: x + 47 = 60x = 13

Now we can use either equation 1 or 2 to find y:x + y = 47y = 47 - xy = 47 - 13y = 34

Therefore, the petting zoo has 13 llamas and 34 kangaroos.

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∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information

Two angles are given.

∠g = (2x-90)°

∠h = (180-2x)°

We have to find the statement which is true about the angles g and h.

If both angles are greater than zero.

Complementary angles add up to 90 degrees

i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.

Substituting the given values:

∠g + ∠h

= (2x-90)° + (180-2x)° = 90°

Thus, ∠g and ∠h are complementary angles.

and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h  are acute.

So the statement ∠g and ∠h are acute angles is also true

Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements

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The value of the expression [3 + 1/10] (-6 x 7 / 12) will be negative 10 and 17 over 20. Then the correct option is D.

The equivalent is the expression that is in different forms but is equal to the same value.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ [3 + 1/10] (-6 x 7 / 12)

Simplify the expression, then we have

⇒ - (31 / 10) x (7 / 2)

⇒ - 217 / 20

⇒ - 10 ¹⁷/₂₀

The value of the expression [3 + 1/10] (-6 x 7 / 12) will be negative 10 and 17 over 20. Then the correct option is D.

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According to the lectures, should we use the first angle projection in all the drawings used in our class
b. False

Explanation:
The first angle projection is one of two standard methods used in technical drawing. The choice between first angle projection and third angle projection depends on the country or region. In some parts of the world, the first angle projection is used, while in others, the third angle projection is preferred. Therefore, it is not necessary to use the first angle projection in all the drawings used in our class.

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Answer:

\(\frac{\sqrt{3} }{6}\)

Step-by-step explanation:

using the 30- 60- 90 triangle for exact values , then

tan60° = \(\sqrt{3}\) , and

cot60° = \(\frac{1}{tan60}\) = \(\frac{1}{\sqrt{3} }\)

cos60° = \(\frac{1}{2}\)

cot60° cos60°

= \(\frac{1}{\sqrt{3} }\) × \(\frac{1}{2}\)

= \(\frac{1}{2\sqrt{3} }\) ← rationalise the denominator by multiplying by \(\frac{\sqrt{3} }{\sqrt{3} }\)

= \(\frac{1}{2\sqrt{3} }\) × \(\frac{\sqrt{3} }{\sqrt{3} }\)

= \(\frac{\sqrt{3} }{6}\)

The answer is \(\boxed {\frac{1}{2\sqrt{3}}}\)

The needed trigonometric values :

Hence, the value of the expression is :

Answer:

12,000

Step-by-step explanation:

Since 1/3 of 30,000 is 10,000, we are left with 20,000. 3/5th of 20,000 is 12,000.

Answer:

Step-by-step explanation:

Correct option is A)

The probability that no two passengers gets off at the same floor will be 0.15.

As per the question statement, an elevator in a building starts with five passengers and stops at 7 floors where each passenger is equally likely to get off at any floor and all the passengers leave independently of each other.

We are required to calculate the probability that no two passengers gets off at the same floor.

Here, since repetition is not allowed,

That is, the total number of ways for 5 passengers are to be assigned to seven floors but no two passengers on the same floor

= 7P5 = [(7!)/(7 - 2)!] = [(7!)/(2!)] = (7 * 6 * 5 * 4 * 3) = 2520

And, the total number of ways to assign 5 passengers to 7 floors, with repetition being allowed will be

= (7)⁵ = 16807.

Therefore, the probability that no two passengers gets off at the same floor will be = (2520/16807) = 0.14993 ≈ 0.15

Probability: It is that branch of Mathematics which deals with the numerical descriptions concerning the extent to which an event is likely to occur, or how likely it is for a proposition to be true, and is measured by the ratio of the favorable cases to the whole number of cases possible.

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Answer:

B, D, H, I, J

Step-by-step explanation:

Median: A line segment that joins the vertex of a triangle to the midpoint of the opposite side.

The missing number in the pair of equivalent expressions is 9.

To solve this problem, you can use the model provided to represent the expressions 15 + 9 and 5 + 3.

For the expression 15 + 9, you can place 15 in the first row of five squares and 9 in the second row of five squares, like this:

[15] [9]

For the expression 5 + 3, you can place 5 in the first row of three squares and 3 in the second row of three squares, like this:

[5] [3]

Then, you can use the model to find the missing number in the pair of equivalent expressions. Since the two expressions are equivalent, the missing number should be in the same position as the number 3 in the second row of the model.

If you look at the first expression, you can see that the missing number is in the same position as the number 9. Therefore, the missing number in the pair of equivalent expressions is 9.

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Let's say you are approved for a credit card with a $1500 limit and a 19.99% annual interest rate. Assume that your credit card was maxed out and that your minimum monthly payment is $50. The answer is (b) 41.92 months.

To calculate the time it takes to pay off a credit card with only the minimum payment, we can use the following formula:

\(\begin{equation}Number\ of\ months = \frac{Total\ balance}{Minimum\ payment} \div \frac{1 - (1 + Interest\ rate)^{-(Number\ of\ months)}}{1}\end{equation}\)

In this case, the total balance is $1500, the minimum payment is $50, and the interest rate is 19.99%. Plugging these values into the formula, we get:

\(\begin{equation}Number\ of\ months = \frac{1500}{50} \div \frac{1 - (1 + 0.1999)^{-(Number\ of\ months)}}{1}\end{equation}\)

Solving for the number of months, we get:

Number of months = 41.92 months

Therefore, it would take 41.92 months to pay off the credit card with only the minimum payment.

If you only make the minimum payment, you will pay a lot of interest over time. In this example, you will pay $1278.98 in interest. If you can afford to pay more than the minimum payment, you will save money on interest and pay off your debt faster.

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Answer:

yo i coy to ghost minder

Answer:

i think the answer is 72

Step-by-step explanation:

Answer:  There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.

Step-by-step explanation:

This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)

so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.

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It will take 36 days for 20 men to complete the building

Every student is unique and different from each other so its not possible to  to provide an accurate estimate of the number of study hours a student would need to have a 50% chance of obtaining an A in the class.

To determine the number of hours a student needs to study to have a 50% chance of getting an A in the class, we require more information about the context and the factors influencing the student's grade.

The number of hours needed to achieve a desired grade depends on various factors, including the student's current level of understanding, the difficulty of the course material, their study habits, and the grading criteria of the class.

In general, to estimate the number of hours needed, it would be helpful to consider historical data or consult with the instructor or academic resources to understand the average study time required to achieve an A in the class.

Without specific information regarding the aforementioned factors, it is not possible to provide an accurate estimate of the number of hours a student would need to study to have a 50% chance of obtaining an A in the class.

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Answer:

x= 80°

Step-by-step explanation:

An isosceles triangle has two equal sides and two equal angles; so 50° + 50° = 100

then you have to subtract 100° from 180° and you'll get 80°

Our decision in this case would be to fail to reject the null hypothesis.

Suppose we are testing the difference between two proportions at the 0.05 level of significance. If the computed z is -1.59, our decision would be to fail to reject the null hypothesis.

This is because the computed z value of -1.59 falls within the critical region for a 0.05 level of significance, which is typically between -1.96 and 1.96. Since our computed z value is not outside of this range, we cannot reject the null hypothesis and must instead fail to reject it.

This means that we do not have enough evidence to support the alternative hypothesis and must conclude that there is not a significant difference between the two proportions at the 0.05 level of significance.

In summary, our decision is to fail to reject the null hypothesis because the computed z value of -1.59 falls within the critical region for a 0.05 level of significance.

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Answer:

15 degrees

Step-by-step explanation:

So you know that the sum of the two angles is 90 degrees, so you can make an equation:

\(3x + 45 =90\)

Then, solve:

subtract 45 from both sides

\(3x = 45\)

divide both sides by 3

\(x = 15\)

This means that x = 15 degrees

Answer:

The answer is 15 degrees.

Step-by-step explanation:

1) Do you see the little square symbol at the bottom right corner? That represents that the angle is a right angle, or a 90 degree angle, in other words.

2) If you know that the first part of the angle is 45 degrees, as it is already labeled, then subtract 90 degrees - 45 degrees = 45 degrees, which is the angle that is left.

3) Set 3x equal to 45 degrees, and solve.

4) So, the equation is 3x = 45; divide by 3 on both sides to get x = 15 degrees.

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The required function is g(x) = (x -7)² which is the translation 7 units left of f(x) = x².

To determine g(x) where g(x) is a translation of f(x), 7 units to the left.

When a point is translated to the left, the resulting point is:

x → x - b

Where b is the number of units to the left.

In this case:

b = 7

So, we have:

f(x) = x²

Solving f(x-7)

Substitute x - 7 for x in f(x) = x²

f(x -7) = (x -7)²

So, we have:

g(x) = (x -7)²

Thus, the required function is g(x) = (x -7)².

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Answer:

-3

Step-by-step explanation:

use the equation y = mx + b where m is the slope and b is the y-intercept so just plug in what you know. y = 2/3x + 2 then solve the equation for x . To do that, just put y = 0 so then it would be -2 = 2/3x then -2/ 2/3 = x and -2 divided by 2/3 would be -3