Joe is a college football kicker. At a point about halfway through the season he had made only 7 out of 26 field goal kicks for his team. This gives him a really lousy success rate. His coach wants his success rate to rise to 49% by Joe kicking a series of consecutive field goals successfully. How many consecutive field goals would Joe have to kick, and make, for his success rate to rise to the level his coach wants?

Step-by-step explanation:

The diagonal is the hypotenuse of a right triangle with legs 40 in and ? inches.    Use Pythagorean Theorem

54^2 = 40^2 + ? ^2

?^2 = 54^2 - 40^2

?^2 = 1316

? = 36.3 in

Answer: 36.3

Step-by-step explanation:

To find the area of a region under the standard normal curve, the following information would typically be provided in the question:

1. The specific boundaries or limits of the region: The question should provide the z-scores or values that determine the starting and ending points of the region of interest. For example, it could specify "Find the area under the standard normal curve between z = -1.5 and z = 2.0."

2. The type of region: The question might specify whether the desired area is for a specific tail (e.g., "Find the area to the left of z = 1.8") or for a specific interval (e.g., "Find the area between z = -0.5 and z = 1.2").

3. Clear instructions or context: The question should provide sufficient context or instructions to ensure a clear understanding of what area needs to be found. It could specify a particular percentage or probability associated with the region, or it could relate to a specific problem or scenario where finding the area under the standard normal curve is necessary.

By providing these details, the question enables you to determine the appropriate steps to calculate the area using methods such as z-tables, statistical software, or mathematical formulas.

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The tangent line is y=x-1 and differentiation of ln(x) is 1/x

What does differentiation in mathematics mean?

Differentiation is a technique for determining a function's derivative. In mathematics, the technique of differentiation is used to determine the instantaneous rate of change in a function dependent on one of its variables.

                            The most prevalent example is velocity, which is the rate at which a distance changes in relation to time.

The ratio of the vertical to the horizontal distance between any two points on it  is called slope of ray or line or line segment in analytical geometry.

y-y1 = m(x-x1)

If the function passes through (1,0)  and the slope equals to 1 is:

y-0 = 1(x-1)

y=x-1

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The complete question is -

Recall that in Problem 3 of the reading questions for Section 2.1, you found that if f(x) = ln(x), then f'(2) = 1/2. Use this to find a formula for the tangent line to f(x) = ln(x) at x = 2.

Answer:

X-4 that is the answer

Step-by-step explanation:

hope its not too late

Answer: 64.2 ft^2

Step-by-step explanation: to find the answer we know that the parallelogram area is A= bh we see that they are trying to trick us by separating the base we have to add the base together and we then get 10.7 that is the base we then see that the height is 6 and we multiply them together and get the answer.

Answer:

2.25 dollars per pound

Step-by-step explanation:

Take the cost and divide by the number of pounds

11.25 dollars / 5 pounds

2.25 dollars per pound

Answer:

The cat food costs 2.25 dollars per pound

Step-by-step explanation:

First let's write this like an equation. Let's add a variable instead of pounds and you can name that anything you like. I prefer to use X. And since we have 5 pounds of cat food, we put 5x.

X = 1 Pound of cat food

11.25$ = 5x

Now we want X alone, so we divide both sides by 5

11.25$/5 = 5x/5

Now if we divide we get

2.25$ = X

And if we turn x back into pounds of cat food, we get that, for 2 dollars and 25 cents we have 1 bag of cat food

2.25$ = 1 Pound of cat food

Answer:

the answer is D

hope this helps!

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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By 2030, there will be a population living in Indianapolis, but the exact number cannot be determined without additional information.

To determine the population of Indianapolis in 2030, we need to consider the population decrease of 7.5% each year from 1980 to 2030. However, we lack specific information about the annual population decrease rate beyond 1980.

If we assume a consistent annual decrease of 7.5%, we can calculate the population in 2030. However, it's important to note that this assumption may not reflect the actual population trend.

Using the given information, we can calculate the population as follows:

Year 1981: 247,000 - (7.5% of 247,000)

Year 1982: Previous year's population - (7.5% of previous year's population)

...

Year 2030: Population in the previous year - (7.5% of the population in the previous year)

By iterating this calculation, we can find the population in 2030. However, without knowing the exact population decrease rate for each year, we cannot determine the precise population in Indianapolis by 2030.

Therefore, while we can conclude that there will be a population living in Indianapolis in 2030, we are unable to provide an accurate estimate of the exact number without more information about the annual decrease rates.

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Answer:

a-2 is the answer for the problem

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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The required value of  b is 24 cm.

Given that, in a right-angled triangle, hypotenuse = 26 cm, perpendicular = 10 cm and base = b cm

Pythagoras theorem states that \(hypotenuse^{2} = base^2+perpendicular^{2}\).

That implies, \(26^2 = b^2+10^2\).

By substituting the square values gives,

676 = \(b^2\) + 100.

By subtracting 100 from both sides gives,

576 = \(b^2\).

The above equation can be expressed as

\(24^2 = b^2\)

By taking square root on both sides gives,

24 = b

Therefore, the required value of  b is 24 cm.

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- 13/12 is the value of trigonometric functions sec θ  .

What do trigonometric functions mean?

r = √( -12 - 0 )² + ( 0 - 5 )²

r = √144 + 25

r = √169

r = 13

Now we can calculate the trigonometric functions

 sinθ = y/r = 5/13

 cosθ = x/r = -12/13

 tan θ = y/x = - 5/12

  cot θ = x/y = -12/5

   sec θ = r/x = - 13/12

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Answer:

61 students play an instrument

Step-by-step explanation:

You could set up the problem as a ratio.

20                x

---        =    ------

100            305

100x =  6100

     x = 61

Answer:

61 students play an instrument.

Step-by-step explanation:

So, take 305, multiply it by 20. Which is 6100, now multiply that by .01

6100x.01=61

Answer:

Step-by-step explanation:

(3x + 2) - (x + 5)

1(3x + 2) - 1(x + 5)

3x + 2 - x - 5 <== combine like terms

3x - x + 2 - 5

2x - 3 <== final answer, linear binomial

(2x + 8) + (3x² - 2)

1(2x + 8) + 1(3x² - 2)

2x + 8 + 3x² - 2

3x² + 2x + 6 <== final answer, quadratic trinomial

(3x + 8) + (4x² - x)

1(3x + 8) + 1(4x² - x)

3x + 8 + 4x² - x

4x² + 2x + 8 <== final answer, quadratic trinomial

(x² + 5x minus (-) 2) + (8 minus (-) 5x)

(x² + 5x - 2)  + (8 - 5x)

1(x² + 5x - 2)  + 1(8 - 5x)

x² + 5x - 2 + 8 - 5x

x² + 6 <== final answer, quadratic binomial

(x² + 7x) - (x² + 5)

1(x² + 7x) - 1(x² + 5)

x² + 7x - x² - 5

7x - 5 <== final answer, linear binomial

Hope this helps!

The value of x in the perpendicular line is 30 degrees.

In the diagram m is parallel to n and m is perpendicular to line P. Therefore, perpendicular lines forms a right angle.

Therefore, let's find the angle x in the perpendicular line.

Hence,

3x = 90

divide both sides by 3

3x / 3 = 90 / 3

x = 30

Therefore, the value of x is 30 degrees.

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Answer:

Jerry's data points have to sum to be 77.

Step-by-step explanation:

We are given that

Ben and Jerry both have total numbers in their data set=7

Average of Ben's data set=9

Average of Jerry's data set=9+2=11

We have to find the Sum of Jerry's data points.

We know that

Average of data=Sum of numbers/Total number of data points

Using the formula

Average of Jerry' data =Sum of numbers in data/7

11=Sum of numbers in data/7

Sum of numbers=\(11\times 7\)

Sum of numbers=77

Hence, sum of Jerry' data points=77

Answer:

8

Step-by-step explanation:

Find 1/3 of 24, which is 8.

Answer:

Sam gave 8 balls to Rita.

Step-by-step explanation:

24 / 3 = 8

1/3 of 24 is 8, therefore Sam gave 8 balls to Rita.

The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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The volume of the tip that was sliced off is approximately 60 in^3.

By calculating the volumes of the original cone and the truncated cone, we find that the volume of the tip is the difference between these two volumes. Substituting the given measurements into the volume formulas, we determine that the volume of the tip is approximately 60 in^3.

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Answer:

x =5

Step-by-step explanation:

transfer -2 to the other side it turns to +2

|2x-1|=7 +2

2x-1 =9

transfer -1 to the other side it turns to +1

2x=10

Divide both sides by 2

2x /2 = 10/2

x= 5

The equation are given as

1. The equation is given as

The answer is

2. The equation is given as

The answer is

At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

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The total thickness of Jada's pile of books was 12 inches.

A graph form used to display numerical data is a line plot, commonly referred to as a dot plot. Each data point in a line plot is represented by a dot that is positioned above a number line. Dots that indicate the same value are piled vertically and put above the appropriate value on the number line.

Little to intermediate sized data sets may be displayed using line plots, which enable us to rapidly observe the data's distribution, including its range, frequency, and any outliers.

Two data points on the line plot indicate a set of books that were each one and a half inches thick, indicating that there were two of such types of books.

Four data points on the line plot indicate a set of books that were each 2 1/4 inches thick, indicating that there were four of such types of books.

Total thickness = (2 x 1 1/2) + (4 x 2 1/4)

= 3 + 9

= 12 inches

Hence, the total thickness of Jada's pile of books was 12 inches.

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i) Michaelangelo's sells small, medium, large, and jumbo pizzas. - Not nominal data.

Nominal data refers to a type of categorical data where values are assigned to distinct categories or labels without any inherent order or numerical significance. In the given options, both i) and ii) involve categorical information, but only option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") describes nominal data.

In option i), the sizes of pizzas (small, medium, large, and jumbo) can be considered ordinal data as they have a specific order and imply a relative size difference. Ordinal data possesses a sequential arrangement where the categories have a meaningful relationship or hierarchy.

On the other hand, option ii) presents toppings (pepperoni, black olives, and mushrooms) as distinct categories without any inherent order or hierarchy.

Each topping represents a separate label or category, making it an example of nominal data.Therefore, option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") accurately describes nominal data.

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Answer: See explanation

Step-by-step explanation:

Let the cost for insuring the applicant = a.

Let the cost for insuring the spouse = b

Let the cost for insuring the first child= c

Let the cost for insuring the second child = d

A 35-year-old health insurance plan and that of his or her spouse costs ​$301 per month. This means that:

a + b = $301.

That rate increased to ​$430 per month if a child were included. This means the cost of a child will be:

= $430 - $301

= $129

The rate increased to $538 per month if two children were included. This means the cost for the second child will be:

= $538 - $430

= $108

The rate dropped to ​$269 per month for just the applicant and one child. His will be the cost of the applicant and a single child. This can be written as:

a + $129 = $269

a = $269 - $129

a = $140

Since a + b = $301

$140 + b = $301

b = $301 - $140

b = $161

Applicant = $140

The spouse = $161

The first​ child = $129

The second child = $108

Here books can be arranged in: a) 39,916,800 ways b) 17,280 ways c) 86,400 ways d) 86,400 ways e) 30,240 ways

a) When the books can be arranged in any order, the total number of ways is given by 11!, which is the factorial of the number of books that is 39,916,800 ways. b) We have 2! ways to arrange the group and within the group, the math books can be arranged in 6! ways and the biology books can be arranged in 5! ways which is 17,280 ways.

c) The math books can be arranged in 6! ways, and the remaining books can be arranged in 5! ways that is 86,400 ways. d) If the math and biology books must alternate, we consider them as one group. Within this group, the math and biology books can be arranged in 6! ways that is 86,400 ways.

e) When none of the biology books can be next to each other, we consider the arrangements of the math books and the spaces between them. There are 7 spaces available for the biology books to be placed, and we use the permutation formula 7P5 to calculate the number of arrangements which can be 30,240 ways.

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1) S∪W: A. (-∞,-1]

2) S∪T: B. [-8,2]

3) S∩W: C. ∅

4) T∩W: C. ∅

1) S∪W: Since W includes all real numbers less than -5 and S includes all real numbers less than -1, their union would include all real numbers less than -1, including -8. Therefore, S∪W = (-∞,-1].

The correct notation is A. (-∞,-1].

2) S∪T: The union of S and T would include all numbers between -8 and 2, including -1. Therefore, S∪T = [-8,2].

The correct notation is B. [-8,2].

3) S∩W: Since S includes only negative numbers and W includes only numbers less than -5, there is no overlap between them. Therefore, S∩W = ∅ (the empty set).

The correct notation is C. ∅.

4) T∩W: T includes only numbers between -2 and 2, while W includes only numbers less than -5, so there is no overlap between them. Therefore, T∩W = ∅ (the empty set).

The correct notation is C. ∅.

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The given question is incomplete, the complete question is:

Let S=[−8,−1), T=[−2,2], and W=(−[infinity],−5). For each intersection or union, find  the correct notation for the resulting interval.

1. S∪W

2. S∪T

3. S∩W

4. T∩W

Answer:

12 answer

Step-by-step explanation:

(8x-34)=(5x+2) (correspounding angle)

8x-5x=34+2

3x=36

x=36/3

x=13