E SURE TO SHOW CALCULATOR WORK WHEN NEEDED Although, it is regularly reported that the mean IQ is 100, Ivy League college administrators believe their students are well above average. A simple random sample of 200 Ivy league 1st year students were given an IQ test. These 200 students had a mean IQ of 104.7 with a standard deviation of 14.2. Test the administrator claim at the 0.05 significance level. Your answer should start with the hypothesis and end with an interpretation of the test results (with some calculations and other stuff in between). Edit View Insert Format Tools Table 12pt 2 T² P 0 words > # B IU A Paragraph THE

The velocity function v(t) for the train traveling along a horizontal line is v(t) = 24t^2 - 6t + 2.

To get the velocity function v(t) for a train traveling along a horizontal line according to the position function s(t) = 8t^3 - 3t^2 + 2t + 4, you'll need to take the derivative of the position function with respect to time t.
Step 1: Differentiate the position function s(t) with respect to time t.
v(t) = ds(t)/dt = d(8t^3 - 3t^2 + 2t + 4)/dt
Step 2: Apply the power rule to each term.
v(t) = 3(8t^2) - 2(3t) + 2
Step 3: Simplify the expression.
v(t) = 24t^2 - 6t + 2
So, the velocity function v(t) for the train traveling along a horizontal line is v(t) = 24t^2 - 6t + 2.

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Option 4 - Survey 100 randomly selected parents in the theme park - produces an unbiased, representative sample of the population because it selects individuals randomly from the population.

This ensures that everyone in the population has an equal chance of being selected for the survey, which minimizes bias and produces a sample that is more representative of the entire population. The other options may introduce bias because they only survey specific groups of customers or use a non-random sampling method.

To obtain an unbiased, representative sample of the population in the theme park, the best sampling method would be option 2) Survey every 30th customer to enter the theme park. This approach, called systematic sampling, reduces potential bias and provides a more diverse sample compared to the other options.

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Answer:

a+b

Step-by-step explanation:

or any letter as long as it has the plus sign

The required expression for the given property is 8(9 + 3).

The distributive property for the product of a sum of numbers to other numbers states that it is equivalent to the sum of individual products. It can be written as a(b + c) = ab + ac.

The given expression is 72 + 24

In distributive form it can be written as,

GCF of 72 and 24 is 8.

Then, 72 = 8 × 9 and 24 = 8 × 3

Now, the given expression can be rewritten as below,

8 × 9 + 8 × 3

Take 8 as common to get,

8(9 + 3)

Hence, the expression that represents the distributive property is 8(9 + 3).

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We fail to reject the null hypothesis that the temperature level has no effect on the mean yield process.

Summary of Result:

Source | SS | df | MS | F | p-value

Treatment | 118.2 | 2 | 59.1 | 2.94 | 0.095

Error | 241.0 | 12 | 20.1 | |

Total | 359.2 | 14 | | |

To construct an analysis of variance (ANOVA) table and test whether the temperature level has an effect on the mean yield process, we need to perform the following steps:

Step 1: Calculate the total sum of squares (SST), the treatment sum of squares (SSTR), and the error sum of squares (SSE).

SST = ΣΣ(yij - ȳ)^2 = 359.2

where yij is the yield of the ith batch at the jth temperature level and ȳ is the overall mean yield.

SSTR = Σ(nj(ȳj - ȳ)^2) = 118.2

where nj is the number of batches produced at the jth temperature level, ȳj is the mean yield at the jth temperature level, and ȳ is the overall mean yield.

SSE = SST - SSTR = 241.0

Step 2: Calculate the degrees of freedom (df) for SST, SSTR, and SSE.

df(Total) = N - 1 = 14

where N is the total number of observations.

df(Treatment) = k - 1 = 2

where k is the number of treatment levels.

df(Error) = df(Total) - df(Treatment) = 12

Step 3: Calculate the mean square (MS) for SSTR and SSE.

MS(Treatment) = SSTR / df(Treatment) = 59.1

MS(Error) = SSE / df(Error) = 20.1

Step 4: Calculate the F-statistic.

F = MS(Treatment) / MS(Error) = 2.94

Step 5: Determine the critical value of F for a 0.05 level of significance with df(Treatment) = 2 and df(Error) = 12.

From a table of F-distributions, the critical value of F is 3.89.

Step 6: Compare the F-statistic to the critical value of F and make a decision.

Since 2.94 < 3.89, we fail to reject the null hypothesis that the temperature level has no effect on the mean yield process. In other words, we do not have sufficient evidence to conclude that there is a difference in mean yield among the three temperature levels.

Step 7: Summarize the results in an ANOVA table.

Source | SS | df | MS | F | p-value

Treatment | 118.2 | 2 | 59.1 | 2.94 | 0.095

Error | 241.0 | 12 | 20.1 | |

Total | 359.2 | 14 | | |

Note: The p-value is calculated as P(F > 2.94) = 0.095, which is greater than the significance level of 0.05. Therefore, we do not reject the null hypothesis.

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Answer:

,

Step-by-step explanation:

15% of $30 is $4.50 because​ of the​ concept of pe​rce​ntage​ which is a chapter from mathematics.

Give​n: 15% of $30

Find: You need to find the 15% rate of $30.

Solution: A percentage can be defined as a number or ratio expressed as a fraction of 100. It is often denoted by the percent sign (%), but the abbreviation percent, percent, and in some cases percent is also used. Percentages are dimensionless numbers (pure). There are no units of measurement.

Example: If 25% of the total number of students in a class are male, 25 out of 100 are male. He has 500 students, 125 of whom are male.

So 15% of $30 = (15/100) x $30 = 0.15 x $30 = $4.50.

So using the percentage gives the answer  as $4.50.

 Therefore, percentages are very  useful in our daily life.

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Answer:

Step-by-step explanation:

P (m) = a (m + 1) + b (m + 1) - c (m + 1)

P (m) = (a + b - c) (m + 1)

There are 2 prime factors

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

r=

\( \sqrt[3]{27 \div \pi} \)

r= 2.048in

round off to 2.05in

PROOF

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= 2.05 inches

Given:

The date set for the number of public libraries in each of 14 cities is:

4, 5, 4, 6, 5, 6, 5, 8, 5, 4, 6, 6, 7, 4

To find:

The modes of this data set.

Solution:

We know that, the mode of a data is the most frequent value of data set.

Arrange the given data in ascending order.

4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8

In the given data set,

Frequency of 4 = 4

Frequency of 5 = 4

Frequency of 6 = 4

Frequency of 7 = 1

Frequency of 8 = 1

Clearly, the data values 4, 5, 6 have the largest frequency, i.e., 4.

Therefore, the modes of the given data set are 4, 5, 6.

Answer:

The answer is B: \(4wxy^2z^3\)

Hope It Helps!

The estimated world population in 2017 was 7.5 billion. Using a doubling time of 36 years, we can calculate the population in 2030 by dividing the time difference (13 years) by the doubling time and applying it to the initial population.

To calculate the population in 2030, we divide 13 (the number of years) by 36 (the doubling time) to find the number of doubling periods that have occurred. In this case, we get approximately 0.36. We then raise 2 to the power of 0.36 to account for the doubling effect. Finally, we multiply this value by the initial population of 7.5 billion to estimate the population in 2030.

The population in 2030 is estimated to be around 9.5 billion, rounded to one decimal place.

The doubling time of 36 years means that the world population is expected to double every 36 years. This assumption assumes a constant growth rate over time. By dividing the time difference between 2017 and 2030 (13 years) by the doubling time of 36 years, we find that approximately 0.36 doubling periods have occurred.

To calculate the population in 2030, we raise 2 (representing the doubling factor) to the power of 0.36. This value accounts for the partial doubling that has occurred within the given time frame. By multiplying this factor by the initial population of 7.5 billion, we estimate the population in 2030.

It's important to note that population growth is a complex phenomenon affected by various factors such as birth rates, death rates, migration, and socioeconomic factors. The doubling time approach used here assumes a simplified model of constant exponential growth. In reality, population growth rates can vary over time due to changes in these factors. Therefore, this estimation serves as a rough approximation and should be interpreted with caution.

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Answer: B:2.5

Step-by-step explanation: divide the two numbers to find the answers

Answer:

B is the answer 125,50

Step-by-step explanation:

Please mark brainlyist

9514 1404 393

Answer:

  (c)  9, 24, 26

Step-by-step explanation:

If you're familiar with Pythagorean triples, you may recognize that 10-24-26 is a doubling of the common 5-12-13 triple seen in many problems. That means the triple 9-24-26 cannot be a right triangle.

__

The "form factor" of f = a^2 +b^2 -c^2, where c is the longest side length, can signal the kind of triangle it is. f=0 indicates a right triangle (values satisfy the Pythagorean theorem). When there are a lot of numbers to try, I like to let a calculator or spreadsheet do the math. (See attached).

As indicated above, the 9-24-26 triple cannot be a right triangle. For f < 0, it will be an obtuse triangle.

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

10 blocks

Step-by-step explanation:

Given

\(First = 6\ blocks\)

\(Second = 8\ blocks\) east

Required

Determine the shortest possible distance

To better explain my solution, I've added an attachment that illustrates her movement.

Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.

So, we have:

\(x^2 = 6^2 + 8^2\)

\(x^2 = 36 + 64\)

\(x^2 =100\)

Take positive square root of both sides

\(x = \sqrt{ 100\)

\(x = 10\)

Answer: y= -5/2 x -3

Answer:

M = 1

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

1. You need to know that the input value means the x-value, which means x = 3.

2. Input 3 in the function

3. Solve 3+4

4. 3+4 = 7

Answer:

put y=4 then four comes with- and 4-3=2

Model mural::

L*W = 0.3 sq. ft

--------------

Actual mural::

(5L)(5W) = 25*LW = 25*0.3 = 7.5 sq ft.

The equation of the line in this problem can be given as follows:

The point-slope equation of a line is given as follows:

y - y* = m(x - x*).

In which:

From the graph, we have that when x increases by 3, y decays by 6, hence the slope m is given as follows:

m = -6/3

m = -2.

Hence the point-slope equation is given as follows:

y - 4 = -2(x + 2).

The slope-intercept equation can be obtained as follows:

y = -2x - 4 + 4

y = -2x.

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Answer: 1/50

Step-by-step explanation:

0.020 = 20/1000 = 1/50

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Answer: The methods that are fair include __A, B and C__ because __D__ is flawed due to increased chances of winning based on one's skill, ___F___ is flawed due to poor randomization, and ___E___ is flawed due to unequal probabilities of winning and losing.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope.  In this case we are already given the slope as the coefficient to x: -1/8.  The negative reciprocal of that is 8/1, or just 8.

Answer:

figure is missing mate

Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.

Answer:

4.5 cubic feet

Step-by-step explanation:

Volume is calculated by length ⋅ width ⋅ height.

In this situation, we need to find the volume of the box and subtract the volume of the present from the volume of the box.

2 1/2 ⋅ 2 ⋅ 1 1/2 = 7 1/2 cubic feet

Now that we have the volume of the box, we can subtract the volume of the present from it.

7 1/2-3 = 4.5 cubic feet  

Answer:

38

Step-by-step explanation: