The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Round intermediatez value calculations to two decimal places and the final answers to four decimal places. Source: New York Times Almanac. Part 1 What is the probability that a randomly selected teacher makes less than $46,800 per year? P(X < 46,800)= 0.0808 Part 2 out of 2 If we sample 85 teachers' salaries, what is the probability that the sample mean is less than $56,200? Assume that the sample is taken from a large population and the correction factor can be ignored. P(X <56,200)

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

The null hypothesis for the chi-Squared test of independence is that the variables are independent.

In statistical analysis, the chi-squared test of independence is used to determine if there is a relationship between two categorical variables. The null hypothesis assumes that the variables are independent of each other, meaning that there is no association or relationship between them.

To conduct the test, we gather data and organize it into a contingency table, which displays the frequencies or counts of each combination of values for the two variables. The chi-squared test then calculates the expected frequencies under the assumption of independence, based on the observed frequencies.

The test statistic, known as the chi-squared statistic, measures the discrepancy between the observed and expected frequencies. If the observed frequencies deviate significantly from the expected frequencies, we reject the null hypothesis and conclude that there is evidence of a relationship between the variables.

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Answer:

D. 26

Step-by-step explanation:

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Brainliest?

The estimated population of this group for the year 2010 is approximately 0.0003925 million people.

a. The population of this group for the year 2010 can be estimated by substituting t = 10 into the population function. Using the given approximation formula:

P(t) = 39.25(10^(-13t))

P(10) = 39.25(10^(-13 * 10))

P(10) = 39.25(10^(-130))

P(10) ≈ 39.25 * 0.00000000000000000000000000000000000000000000000001

P(10) ≈ 0.0000000000000000000000000000000000000000000000003925

Therefore, the estimated population of this group for the year 2010 is approximately 0.0003925 million people.

The given population approximation formula is in the form of a power function, where the population (P) is a function of time (t). The formula is given as:

P(t) = 39.25(10^(-13t))

Here, t represents the number of years since 2000, and P(t) represents the estimated population in millions. The exponent in the formula, -13t, indicates that the population decreases exponentially over time.

To estimate the population for a specific year, we substitute the corresponding value of t into the formula. In this case, we want to estimate the population for the year 2010, which is 10 years after 2000.

By substituting t = 10 into the formula, we can calculate P(10), which represents the estimated population in 2010. The resulting value is a very small number, indicating a very low population estimate.

Hence, the estimated population of this group for the year 2010 is approximately 0.0003925 million people.

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Answer:

2nd one - independent

3rd one - Dependent

4th one - independent

Step-by-step explanation:

4x +3y =5 -------> eq (1)

2x -5y =9 -------> eq(2)

eq(2) * -2 --------> -4x +10y =-18 ------->eq(3)

eq(1) + eq(3) -----> 13y =13 ----> y=1 <>

then When you substitute y=1 into any equation

x=7

To determine the minimum sample size that will guarantee a 0.95-confidence interval for the population mean u with a maximum width of 1, we can use the formula for the confidence interval:

Confidence Interval Width = 2 * (Z * Standard Deviation / √n)

Where:

- Confidence Interval Width is the maximum width of the interval (1 in this case)

- Z is the critical value corresponding to the desired confidence level (0.95, which corresponds to a Z-value of approximately 1.96 for a large sample size)

- Standard Deviation is the standard deviation of the population (2, as given in the question)

- n is the sample size

Rearranging the formula, we can solve for the minimum sample size:

n = (2 * (Z * Standard Deviation / Confidence Interval Width))^2

Plugging in the values:

n = (2 * (1.96 * 2 / 1))^2

n = (3.92)^2

n ≈ 15.3664

Since the sample size must be a whole number, we need to round up to the nearest whole number:

Minimum Sample Size = 16

Therefore, a minimum sample size of 16 will guarantee a 0.95-confidence interval for the population mean u with a maximum width of 1.

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Answer:

Parametrization of the line:

Step-by-step explanation:

Given the points

We already know some of the equation lines:

But, in parametric mode, we separate the x and y coordinates and describe each of them change as a function of time.

Plotting the two points A(-3,6) and B(2,9) on a coordinate plane, we have to separate x and y coordinates and given each of them a separate equation.

We observe that when we get from A(-3, 6) to B(2,9), its x-coordinate changes or moves 5 points.

i.e. if we add 5 to -3, it becomes -3+5 = 2

In other words, x-coordinate starts at -3, and moving 5 units in time t, it becomes x = -3+5t

Thus, the x-coordinate becomes:

x = -3 + 5t

We also observe that when we get from A(-3, 6) to B(2,9), its y-coordinate changes or moves 3 points.

i.e. if we add 3 to 6, it becomes 3+6 = 9

In other words, y-coordinate starts at 6, and moving 3 units up in time t, it becomes y = 6 + 3t

Thus, the x-coordinate becomes:

y = 6 + 3t

Thus, parametrization of the line:

To find the mean with standard deviation and sample size, mean = (sum of data values) / sample size and standard deviation = √ [ Σ ( xi - μ )²/ ( n - 1 ) ]

To find the formula for the mean, follow these steps:

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Answer:

-25

Step-by-step explanation:

= (20-25)(16+4)/-8+(3×4)

= (-5×20)/(-8+12)

= -100/4

= -25

Answer:

Step-by-step explanation:

m = 11

m - 18 = 11 - 18

= -7

Answer:

equation can be used to represent the possible ways that Jeremiah and Samantha can split the 38 apples? y=×+38

Basically to find solutions of the equation. Find the x intercept points.

Equation: x² - 4x + 2

when solved using quadratic formula:

\(\dashrightarrow \sf x_{1,2}= \dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \:2}}{2\cdot \:1}\)

\(\dashrightarrow \sf x_1 \dfrac{-\left(-4\right)+2\sqrt{2}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{2}}{2\cdot \:1}\)

\(\dashrightarrow \sf x=2+\sqrt{2}, \ 2-\sqrt{2}\)

\(\dashrightarrow \sf x=3.414, \ 0.586\)

These are the solutions to the quadratic equation.

Answer:

x ≈ 0.6 , x ≈ 3.4

Step-by-step explanation:

the solutions to the quadratic equation from the graph are where the graph crosses the x- axis.

these are at approximately x = 0.6 and x = 3.4

Answer:

the slope is 1

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (4, 9)

m = \(\frac{9-4}{4-(-1)}\) = \(\frac{5}{4+1}\) = \(\frac{5}{5}\) = 1

Answer:

B

Step-by-step explanation:

2 parts of milk is mixed with 3 parts of syrup

This implies 2/3 parts of milk is mixed with 1 part of syrup.

Hence, 15 people out of 3 people can be chosen in 35 ways.

It is given that:

The total number of people in a race, n = 15

The number of finalists, r = 3.

Hence, the number of ways in which 3 people out of the 15 people can be finishers are:

\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.

Hence, 15 people out of 3 people can be chosen in 35 ways.

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Answer:

The answer is 85.184. Option B :)

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Hope this helps! Have a great day!

Answer

a = 0

Explanation

a + 5 = -5a + 5

We will bring the terms with a togther and the terms without together

a + 5 = -5a + 5

a + 5a = 5 - 5

6a = 0

Divide both sides by a

(6a/6) = (0/6)

a = 0

Hope this Helps!!!

Answer:

A. Translation, Translation

Step-by-step explanation:

The pre-image was translated 1 unit up then it was translated 4 unit to the right.

Answer:

the other person is right hope this cockledodledoes your day

We can conclude after answering the provided question that Therefore, diameter m GFH = 21° and m GZH = 116°.

In geometry, the diameter of a circle is any straight line segment that has an endpoint on the circle and travels through its centre. Another way to put it is the longest chord of a circle. Either concept can be used to define the diameter of a sphere. The diameter is the length of the line that runs tangent to the two points at either end of the circle. If you consider length to be the distance between two points, diameter equals length. The diameter of a circle is the distance between its two furthest points.

We know that angle EGF is a right angle (90°) because EG is a diameter.

Given that m FG = 116°, we can calculate m FGE by subtracting it from 180° (the sum of triangle angles):

m FGE = 180 degrees - m FG = 180 degrees - 116 degrees = 64 degrees

m GFH = 180° - m ZGF - m ZGFH = 180° - 90° - 69° = 21°

Finally, we can calculate m GZH by subtracting m FGE from 180° (the sum of triangle angles):

180° m GZH - 180° m FGE - 64° = 116°

Therefore, m GFH = 21° and m GZH = 116°.

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Answer:

27 min i think

Step-by-step explanation:

Answer: 9:35

Step-by-step explanation:

i think that's the right answer

For every 1 kilometer added for sponsor C on the graph, an additional pledge of $2.5 is being added.

Graphs can be used to represent many types of data, such as trends, patterns, relationships, and comparisons, and they provide a powerful tool for conveying complex information in a clear and concise way.

To interpret the given graph, we need to understand the axes, the units of measurement, the scale of the x-axis vs the y-axis, etc.

Here, the graph represents the walkathon pledge plan for three sponsors and to describe the sponsor pledge plan for C, we need to determine the scale used.

For every increase of a unit in the x-axis, 1 additional kilometer is added, and for every increase in a unit in the y-axis, 1 additional dollar is added.

For sponsor C, If 2 kilometers = $5, then 1 kilometer will be determined by formulating an equation:

2 km  = $5

1 km = $(x)

x = (5*1)/2

x = $2.5

Thus, we can conclude that for every 1 kilometer added for sponsor C, an additional pledge of $2.5 is being added.

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The values of f ◦ g is equal to (x + 2)^2 + 1 and g ◦ f is equal to x^2 + 3.

f ◦ g is the composition of functions f and g, which means that for any x in the domain of g, we substitute g(x) into f(x) to get f(g(x)) = (x + 2)^2 + 1.

g ◦ f is the composition of functions g and f, which means that for any x in the domain of f, we substitute f(x) into g(x) to get g(f(x)) = x^2 + 1 + 2

So f ◦ g = (x + 2)^2 + 1 and g ◦ f = x^2 + 3

It's important to notice that the order of the functions matters when composing them, f ◦ g is not the same as g ◦ f. The composition of functions is a fundamental concept in mathematics and it's used to chain multiple functions together to create a new function.

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Answer: 4.8lbs, This claim is false

Step-by-step explanation:

Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.

The ratio of heart to weight is given as,

Ratio = 0.00875 / 0.3524

Ratio = 0.024829

The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,

⇒ 0.024829 x 192 x 16

⇒ 76.28 ounces

Their heart weight of Leo is less than the weight of the dog. So, its claim is false.

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