Write an equation of a line in slope-intercept form for the table

Answer:

5/6

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

1. The probability is approximately 0.0003.

2. The probability is approximately 0.2743.

3. The probability is approximately 0.0668.

4. The probability is approximately 0.0501.

5. The probability is approximately 0.6811.

The given information is about the National Assessment of Educational Progress (NAEP) scores for male students in geography in 2001. The mean score for male students was 264, with a standard deviation of 34. The scores are assumed to be normally distributed.

1. To find the probability that a z-score is greater than 3.6, we can use the unit normal tables. Looking up the z-score of 3.6 in the table, we find that the area to the left of this z-score is approximately 0.9997. Since we want the probability of the z-score being greater than 3.6, we subtract this value from 1. So, the probability is approximately 1 - 0.9997 = 0.0003.

2. To find the probability that a z-score is less than -0.6, we can again use the unit normal tables. Looking up the z-score of -0.6 in the table, we find that the area to the left of this z-score is approximately 0.2743. So, the probability is approximately 0.2743.

3. To find the probability that a z-score is greater than 1.5, we can use the unit normal tables. Looking up the z-score of 1.5 in the table, we find that the area to the left of this z-score is approximately 0.9332. Since we want the probability of the z-score being greater than 1.5, we subtract this value from 1. So, the probability is approximately 1 - 0.9332 = 0.0668.

4. To find the probability that a z-score is between 1.6 and 2.6, we can use the unit normal tables. Looking up the z-scores of 1.6 and 2.6 in the table, we find that the area to the left of 1.6 is approximately 0.9452 and the area to the left of 2.6 is approximately 0.9953. To find the probability between these two z-scores, we subtract the smaller area from the larger area. So, the probability is approximately 0.9953 - 0.9452 = 0.0501.

5. To find the probability that a z-score is between -1.7 and 0.6, we can use the unit normal tables. Looking up the z-scores of -1.7 and 0.6 in the table, we find that the area to the left of -1.7 is approximately 0.0446 and the area to the left of 0.6 is approximately 0.7257. To find the probability between these two z-scores, we subtract the smaller area from the larger area. So, the probability is approximately 0.7257 - 0.0446 = 0.6811.

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The clinic should hire at least 7 doctors in order to serve 122 patients per day.

To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.

Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.

Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.

Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.

To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.

Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.

In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.

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Answer:

sry, i am doing this for points

The functions y = 2 (1/5)^x - 5 and y = 4^x are compared as follows

                                  y = 2 (1/5)^x - 5             y = 4^x

Initial value:               2                                    1

base function:        1/5 = decay function       4 = growth function

Translation:             5 units down                    no transformation

A decay function is a mathematical function used in various fields such as physics, engineering, economics, and machine learning, to model the reduction or decline of a value over time.

It is a type of function that decreases at a rate proportional to its current value, so that it approaches zero as time progresses.

Decay function are exponential functions with the base function as

This is the opposite of growth function which has values greater than 1

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Answer:

1/9

Step-by-step explanation:

Where my coins at bruh and yo number jhit

The value of the expression {(-3)⁰}/{(-3)²} is 1/9.

Exponentiation is one of the mathematics operations.

Let mᵃ, where m and a are the real numbers.

And m is multiplied by a times to itself.

So, a is the exponent of m.

Given:

Start Fraction (negative 3) Superscript 0 Over (negative 3) squared End Fraction

In numerator form:

{(-3)⁰}/{(-3)²}

= 1/9

Therefore, 1/9 is the value.

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The area of rectangular deck with length 8 feet and width 2 feet is 16 ft².

Area can be defined as the amount of space covered by a plane of a particular shape. It is measured in "number" of square units (cm², inch², ft² etc.). In other words, the space occupied around this shape is called the area of the rectangle.

We have, a rectangular deck with

length is 4 times its width and perimeter is 20ft.

Let us assume that "l" and "w" be length and width of a rectangular deck.

so, l = 4 w --(1)

Now, perimeter of rectangular deck = 2 ( l+w)

=> 2(l+w) = 20 --(2)

we have to calculate the area of rectangular deck and for this we have to calculate measure of length and width.

plug the value of "l" in equation (2) from (1)

2(l+w) = 20

=> 2(4w + w) = 20

=> 2× 5w = 20

=> w = 20/10 = 2 feet

from equation (1) , l = 4 × 2 = 8 feet

Area of rectangular deck, A = l× w

=> A = 8× 2 = 16 square feet

So, the required area is 16 square feet.

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Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.

To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:

Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.

Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:

100 USD x 31.50 THB/USD = 3,150 THB

Therefore, 100 USD is equal to 3,150 THB.

Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.

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If Carmen paid a total of $49.50 for 3 CD's, then the price of each CD before the tax is $15.80.

The "Sales-Tax" is $0.70 per CD, which is added to the original price of each CD to arrive at the total cost of the CDs including sales tax

Let the price of each CD before tax be = "x",

Carmen bought 3 CDs, so the total cost of the CDs without tax would be 3x.

The "Sales-Tax" on each CD is $0.70, and Carmen bought 3 CDs,

The "total-sales" tax will be = 3 × $0.70 = $2.10,

So, the "total-cost" of the CDs including sales tax is "3x + $2.10", and

We know this total cost is = $49.50,

The equation to represent the cost is written as :

⇒ 3x + $2.10 = $49.50

Now, Solving for "x", the price of each CD before tax.

⇒ 3x = $49.50 - $2.10

⇒ 3x = $47.40

⇒ x = ($47.40)/3,

⇒ x ≈ $15.80

Therefore, the price of each CD is $15.80.

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Answer:

84

Step-by-step explanation:

37 + 47 = 84

Answer:

10

Step-by-step explanation:

47-37=10

The speed of the car is 55 miles per hour.

To find the speed of the car, we need to divide the distance it covers by the time it takes:

speed of car = distance covered by car ÷ time taken by car

From the given information, we know that the car covers a distance of 440 miles in 8 hours, so we can substitute these values into the formula:

speed of car = 440 miles ÷ 8 hours

Simplifying the right-hand side, we get:

speed of car = 55 miles per hour

Therefore, the speed of the car is 55 miles per hour.

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The angles are which alternate exterior angles include the following: A. ∠XWY and ∠STR.

Parallel lines can be defined as two (2) lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.

In conclusion, we can logically deduce that both ∠XWY and ∠STR are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.

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Answer: she could buy 10 cookies.

Step-by-step explanation:

In order to figure out how many cookies she can buy just do 20÷2.

Answer:

algebra?x9b4

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

-6x + 10 = -104

-6x = -114

x = 19

Answer:

\(\boxed {x = 19}\)

Step-by-step explanation:

Solve for the value of \(x\):

-\(6x + 10 = -104\)

-Subtract \(10\) to both sides:

-\(6x + 10 - 10 = -104 -10\)

-\(6x = -114\)

-Divide both sides by \(6\):

\(\frac{-6x}{-6} = \frac{-114}{-6}\)

\(\boxed {x = 19}\)

Therefore, the value of \(x\) is \(19\).

Answer:

(1,12), (2,24), (3,36)...

Answer: 7.5 i believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

118 - [121 - ( 11 x 11 ) - ( - 4 ) - 3 - 9 - 2]

118 - [121 - 121 + 4 - 3 - 9 - 2]

118 - [4 - 3 - 9 - 2]

118 - [1 - 9 - 2]

118 - [-8 - 2]

118 - (-10)   or   118 - 1(-10)

Negative times negative equals to positive.

118 + 10= 128

The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Apple crisp has 10 grams of sugar per serving.

Greek frozen yogurt has 5 grams of sugar per serving.​

In Mathematics, the unit rate is sometimes referred to as unit price or unit ratio and it can be defined as the price that is being charged by a seller for the sale of a single unit of product or quantity.

In order to complete the statements with the unit rate,  we would have to divide the amount of grams of sugar by the number of servings for each product or recipe as follows;

Apple crisp = 80 grams/8 servings = 10 grams of sugar per serving.

Greek frozen yogurt = 60 grams/12 servings = 5 grams of sugar per serving.

In conclusion, we can reasonably infer and logically deduce that the recipe that has the least amount of sugar per serving is the Greek frozen yogurt because 5 grams is less than 10 grams.

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Complete Question:

Mr. Rivera is making a healthy dessert for his nephew who has diabetes. He wants to choose the recipe with the least amount of sugar per serving. Apple crisp has 8 servings and contains 80 grams of sugar. Greek frozen yogurt has 12 servings and contains 60 grams of sugar.

How much sugar per serving does each dessert have? Complete the statements with the unit rate.

Apple crisp has _____ grams of sugar per serving. Greek frozen yogurt has _____ grams of sugar per serving.​

Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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In the context of analyzing the relationship between the number of text messages and talk time (in minutes), the independent variable is the number of text messages.

The reason the number of text messages is the independent variable is because it is the variable that is being manipulated or changed, while the talk time is the dependent variable that is expected to be affected by the number of text messages.

For example, in a study where the researcher wants to investigate whether the number of text messages affects talk time, they would vary the number of text messages sent and then measure the corresponding talk time. In this case, the number of text messages would be the independent variable, and the talk time would be the dependent variable.

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A repeating zero multiplicity factor (x a)k, k > 1, results in x = an of k. The multiplicity of a polynomial is the number of times a certain factor appears in the equation when it has been factored.

A single zero is present where the graph crosses the x-axis and appears practically linear at the intercept. It is a zero with even multiplicity if the graph hits the x-axis and then deflects off of it. It is an odd multiplicity zero if the graph crosses the x-axis at zero. Degree n is equal to the multiplicities added together.

Set your initial factor to zero and solve in step one. Step 2: Keep solving by setting all of your factors in your factored form polynomial equal to zero and repeating this step for each factor. There are no practical solutions for this issue. Step 3: Make a list of your polynomial's zeros.

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Answer:

Pythagoras law

h²=p²+b²

h²=30²+30²

h=√1800=42.426 ft far does the catcher throw the ball from home plate

far does the catcher throw the ball from home plateto second base?

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

75 mph

Step-by-step explanation:

1/5 x 5 =  hour

15 mph x 5 = 75 mph

The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

Correlation is the mutual connection between two or more variables. These variables can be dependent or independent but there should be random variables.

Autocorrelation is the degree of correlation between the values of the same variables across different data.

Instead of correlation between two different variables, the correlation is between two values of the same variable at times i and i + k.

It is used for the following two purposes:

- To detect non-randomness in data.

- To identify an appropriate time series model if the data are not random.

Therefore, The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

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Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

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