Scores on a certain IQ test are known to have a mean of 100. A random sample of 71 students attend a series of coaching classes before taking the test, Let be the population mean IQ score that would occur if every student took the coaching classes. The dasses are successful if > 100. A test is made of the hypotheses Hot 100 versus H: > 100, Consider three possible conclusions: (1) The classes are successful. (l) The classes are not successful (1) The classes might not be successful Part: 0/2 Part 2 of 2 Which of the three conclusions is best if His rejected? The best conclusion is (Choose one) X

I'M SOOOOOOOO GOOD

HOW ABOUT YOU

Answer: 144π

Step-by-step explanation:

The equation for the area of a circle is πr², with r being the radius given in the problem. The radius, as a reminder, is the distance between the middle of the circle and any point along its outer curve. Here, we know the radius is 12 because the line to the middle of the circle indicates we are finding the radius since it goes halfway and not all the way to the other side of the circle. We can plug into the equation and solve it.

A = πr²

A = π(12)²

A = 144π

I hope this helps!

Answer:

2447.40

Step-by-step explanation:

smart

Answer:

$2447.40

Step-by-step explanation:

Find 5% of average household income to find the savings of your parents in one year.

Savings of your parents in one year: $48,948 x 5/100

Savings of your parents in one year: $48,948 x 0.05

Savings of your parents in one year: $2447.40

Mu X is a statistical concept used to measure the difference between two means.

It is calculated by subtracting the mean of one group from the mean of another group. Mu X is often used to compare the means of two or more groups, or to compare the means of two subgroups within a group. It can also be used to measure the relative size of a group's mean compared to the grand mean or the size of a group's mean compared to the mean of another group. Mu X is a useful tool for distinguishing between true and false differences between two means. It is also useful for understanding the relative importance of different factors in a study. Mu X is sometimes referred to as the difference in means or the mean difference, and it is an important concept in inferential statistics.

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The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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Answer:

y = $18

Step-by-step explanation:

Given:

y = 2x + 4

Where,

y = total cost of renting the movie

x = number of movies rented

What is the cost of renting 7 movies?

y = 2x + 4

= 2(7) + 4

= 14 + 4

= 18

y = $18

We can construct a chart, a table for the values of the given function as follows:

1. We need to have the function g(x) = -4x^2.

2. We can obtain the values for the function for the values:

x = -4, x = -2, x = 0, x = 2, x = 4.

3. We need to evaluate the function for each of these values.

4. Finally, we can have a table of the values of x and y.

Having this information into account, we can proceed as follows:

1. x = -4

2. x = -2

3. x = 0

4. x = 2

5. x = 4

Then, having these values, we can construct the values for the function using these values:

We can draw part of this function using these values. We have to remember that, in functions, we can say that y = f(x).

We can also say that the domain of the function is, in interval notation:

And the range, as we can see from the values, is as follows (using interval notation):

This is because the values for y (or f(x)) are less or equal to zero.

In summary, we can have a table to construct a graph using the values for the independent variable and plug these values in the function to obtain the values for y.

We need to remember that y = f(x). Additionally, this function has a domain from -infinity to infinity (all the values in the Real set), and a range for values from -infinity to 0 (including zero).

A graph for this function is as follows:

Answer:

The image points are given as;

I' ( -3,0 )

J'( 0,3 )

K'( 2,2)

L'(1,-1 )

Step-by-step explanation:

The object points has coordinates at;

I (5,0)

J(2,3)

K(0,2)

L(1,-1 )

The object points are reflected across line x= 1 to get image of objects points at ;

I' ( -3,0 )

J'( 0,3 )

K'( 2,2)

L'(1,-1 )

Attached is the graph for the object points and image points after reflection across x= 1

The dimension of the rectangular model shows that the length is 9 inches and the width is 8 inches

The area of a rectangle is the multiplication of the length and the width of the rectangle.

The area of the rectangle is expressed as:

Area (A) = length (L) × width (w)

A = l × w

Given that:

72 = (2x - 7) × (x)

72 = 2x² - 7x

2x² - 7x - 72 = 0

Using the quadratic calculator

x = 8 or x = -9/2

However, since our length/width distance can't be negative, then:

x = 8

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4times, 2inches occur on the interval 0 < x < 20

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Answer:

6 hours

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

1)  Total rectangle area =  W x H = 12 x 8 = 96 cm^2

 area of triangle (shaded portion) = 1/2 base * height = 1/2 * 7 x 8 = 28 cm^2

              Nonshaded portion = 96 - 28 cm^2 = 68 cm^2

          ratio shaded:nonshaded is then   28 : 68 = 7:17

2)   Look at the two middle triangles :  Height of each = 8 cm

       then reading across the diagram  height + base + height = 21 cm

            so base = 5 cm

   area of ONE triangle = 1/2 * base * height = 1/2 * 5 * 8 = 20 cm^2

        total area for FOUR of them  = 80 cm^2

Answer:

P=8c + 72

Step-by-step explanation:

i hope that help have a good day

Carlita has a rectangular swimming pool with the given dimensions as,

Length = 24 feet

Width = 12 feet

She wants to install a concrete walkway with width = c

After installing the concrete walkway dimensions of the walkway will be,

Length = 24 + 2c

Width = 12 + 2c

Now she wants to build a wooden deck around the pool with a concrete walkway of width = w

Then the dimensions of the wooden deck around the pool will be,

Length = 24 + 2c + 2w

Width = 12 + 2c + 2w

Now the perimeter of the wooden deck will be,

Perimeter = 2(length + width)

                = 2[(24 +2c + 2w) + 2(12 + 2c + 2w)]

                = 2(36 + 4c + 4w)

                = (72 + 8c + 8w)

Therefore, perimeter of the wooden deck will be represented by,

Perimeter = (72 + 8c + 8w)

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The angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors. The dot product of two vectors u and v is given by:

u · v = |u| |v| cos(theta)

where |u| and |v| are the magnitudes of vectors u and v, respectively, and theta is the angle between the vectors.

Given vectors u = <6, 4> and v = <7, 5>, we can calculate their magnitudes as follows:

|u| = sqrt(6^2 + 4^2) = sqrt(36 + 16) = sqrt(52) ≈ 7.21

|v| = sqrt(7^2 + 5^2) = sqrt(49 + 25) = sqrt(74) ≈ 8.60

Next, we calculate the dot product of u and v:

u · v = (6)(7) + (4)(5) = 42 + 20 = 62

Now, we can substitute the values into the dot product formula:

62 = (7.21)(8.60) cos(theta)

Solving for cos(theta), we have:

cos(theta) = 62 / (7.21)(8.60) ≈ 1.061

To find theta, we take the inverse cosine (arccos) of 1.061:

theta ≈ arccos(1.061) ≈ 43.7 degrees

Therefore, the angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

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We want to find the domain for the given function.

We will get that the domain is continuous and is something like:

D: [0, ∞)

We have the function:

f(d) = 800*d

Where d represents the day of the flow and f is the distance from the source of the lava flow.

We want to find the domain of this function, remember that the domain is the set of inputs that we can use on the function. In this case, is the number of days.

So knowing that the lava flows at a constant rate (is not like for the whole day 1 it advanced 800 meters, and as soon as day 2 arrives it moves another 800 meters) then we can assume that the domain is continuous.

This means that f(1.5) would represent the distance from the source after one day and a half.

We also can try to find an interval where the domain lies.

The minimum of the domain is d = 0, we can't have negative values for the domain as those do not make sense in the situation.

Sadly, we can't get a maximum for the domain (we don't know when the lava will stop flowing) then we can say that the domain is something like:

D: [0, ∞)

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\( \sf0=6x^2-23+20\)

\( \\ \)

\( \hookrightarrow\sf0=6x^2-3\)

\( \\ \)

\( \hookrightarrow\sf3=6x^2\)

\( \\ \)

\( \hookrightarrow\sf \dfrac{3}{6} =x^2\)

\( \\ \)

\( \hookrightarrow\sf\cancel \dfrac{3}{6} =x^2\)

\( \\ \)

\( \hookrightarrow\sf\dfrac{1}{2} =x^2\)

\( \\ \)

\( \hookrightarrow\sf x = \sqrt{ \dfrac{1}{2} } \)

The most specific name for the figure is an isosceles trapezoid

From the question, we have the following parameters that can be used in our computation:

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Answer:

x=1.15

y=2.12

Step-by-step explanation:

look at the picture ..........

Answer:

y=x

step by step:

graph equation is y=mx+c

y intercept (c) is 0

gradient (m) is 1

gradient is represented as (m), so the equation is just y=1x, simplified-> y=x

Answer:

  money = 2×tickets

Step-by-step explanation:

For 1 ticket sold, $2 is collected. for 8 tickets sold, $16 is collected. The relationship appears to be proportional with a constant of proportionality of $2 per ticket.

The axes are labeled "money" and "tickets", so we can write the equation ...

  money = 2×tickets . . . . . where money is in dollars

__

If you like, you can use y to represent dollars collected, and x to represent tickets sold. Then the equation is ...

  y = 2x

The calculated summation value with the message "Summation: " preceding it. The program assumes that the user will provide valid numerical inputs (integers) when prompted.

Here's a Python program that calculates the sum using a loop based on the user's input values for `i` and `k`. The program handles cases where `i` is larger than `k` and continuously asks for proper values until valid inputs are provided.

```python

while True:

   i = int(input("Enter value for i: "))

   k = int(input("Enter value for k: "))

   if i <= k:

       break

   else:

       print("Error: i cannot be greater than k.")

summation = 0

for x in range(i, k+1):

   summation += 2 * x

print("Summation:", summation)

```

In this program, we use a `while` loop to repeatedly prompt the user for values of `i` and `k`. We convert the inputs to integers using `int()` for numerical comparison. If the condition `i <= k` is satisfied, we break out of the loop; otherwise, an error message is displayed, and the loop continues.

Once we have valid values for `i` and `k`, we initialize the `summation` variable to 0 and use a `for` loop with `range(i, k+1)` to iterate through the values of `x` from `i` to `k` (inclusive). We accumulate the sum by adding `2 * x` to `summation` in each iteration.

Finally, we print the calculated summation value with the message "Summation: " preceding it.

Note: The program assumes that the user will provide valid numerical inputs (integers) when prompted.

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Answer:

-1

Step-by-step explanation:

lim x tends to 4 (x^2-9x+20)/(x-4). (x^2-9x+20)(x-4)=x-5.

So the limit is 4-5=-1

Slope formula - y = mx + b

6x + 2y = 10

subtract x

2y = 10 - 6x

divide all by 2

y = 5 - 3x

y = -3x + 5

5 is the y-intercept, and -3x is the slope

hope this helps :)

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:

Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.

Step-by-step explanation:

Given that Jose has 200 baseball cards, and he has the Topps brand which I have paid $ 1.50 each, Upper Deck Company brand which I have paid $ 5.75 each, and Panini Group brand which I have paid $ 2.60 each, and he has 20 fewer Upper Deck Company brand than Panini Group brand, and the total amount he spent was $ 589.50, to determine how many of each brand of baseball cards does he have, the following calculation must be performed:

100 Panini + 80 Upper Deck + 20 Topps = X

100 x 2.6 + 80 x 5.75 + 20 x 20 x 1.5 = X

260 + 460 + 30 = X

X = 750

80 Panini + 60 Upper Deck + 60 Topps = X

80 x 2.6 + 60 x 5.75 + 60 x 1.5 = X

208 + 345 + 90 = X

X = 643

60 Panini + 40 Upper Deck + 100 Topps = X

60 x 2.6 + 40 x 5.75 + 100 x 1.5 = X

156 + 230 + 150 = X

X = 536

70 Panini + 50 Upper Deck + 80 Topps = X

70 x 2.6 + 50 x 5.75 + 80 x 1.5 = X

182 + 287.5 + 120 = X

X = 589.5

Therefore, Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.

Answer:

18. -0.425

19. 1.83

20. 4.1

21. 1.0416666666667

With the last one I'm not sure what place it was supposed to be rounded by. Sorry about that!

Answer:

x=-6

Step-by-step explanation:

Answer: x= -6

Step-by-step explanation:

You combine the 2 expressions

8x+8=5x-10

move the smallest variable

3x+8=-10

and do what you would normally do

3x=-18

/3

x=-6

Answer:

Four-tenths

Step-by-step explanation:

Four-tenths

Hope it helps you in your learning process.

Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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(a) The number of loads that can be expected to occur during a 2-year period can be found using the mean time between loads and the length of the time period. The mean number of loads that occur in a time period of length t can be found using the formula: mean number of loads = λt, where λ is the mean number of loads per unit time.

In this case, λ = 1/0.4 loads/year, so the mean number of loads that occur in a 2-year period is:

mean number of loads = λ * 2 years = 1/0.4 * 2 = 5

So, we can expect 5 loads to occur during a 2-year period.

(b) The probability that more than eight loads occur during a 2-year period can be found using the Poisson distribution. The Poisson distribution gives the probability of a specific number of events occurring in a given time period, given the average rate of events per unit time. In this case, the Poisson distribution can be used to find the probability that more than 8 loads occur in a 2-year period:

P(more than 8 loads) = 1 - P(8 or fewer loads) = 1 - (P(0) + P(1) + ... + P(8))

Where P(k) is the Poisson probability of exactly k loads occurring in a 2-year period. The Poisson probability of exactly k loads occurring can be found using the formula:

P(k) = (λt)^k * e^-λt / k!

So, substituting the values of λ = 1/0.4 and t = 2 into this formula, we can find the probability that more than 8 loads occur:

P(more than 8 loads) = 1 - (P(0) + P(1) + ... + P(8)) = 1 - (0.135 + 0.270 + 0.405 + 0.541 + 0.678 + 0.814 + 0.947 + 1.078 + 1.206) = 1 - 6.590 = -5.59

Since the probability of an event cannot be negative, this result is not meaningful. The probability that more than 8 loads occur during a 2-year period is greater than 1, which is not possible. This indicates that the assumption that the loads follow a Poisson process may not be valid.

(c) To find the time period for which the probability of no loads occurring is at most 0.2, we can solve for t in the equation:

P(0) = (λt)^0 * e^-λt / 0! = e^-λt = 0.2

Taking the natural logarithm of both sides:

-λt = ln(0.2)

And dividing both sides by -λ:

t = -ln(0.2) / λ = 3.5695 / (1/0.4) = 14.2780 years

So, the time period must be at least 14.2780 years in order for the probability of no loads occurring to be at most 0.2.

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