Evaluate p+23 for p=8

The decimal that Juanita can use to update her report is 1.6.

A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent numerical value for whole plus some fraction of a whole.

The decimal numeral system is the most widely used system for representing both integer and non-integer numbers. It is the Hindu-Arabic numeral system's extension to non-integer numbers. Decimal notation refers to the method of representing numbers in the decimal system.

In this case, the the pitcher threw a total of 384 pitches and used a fastball 240 times. The decimal will be:

= Number of throws / Fastball

= 384 / 240

= 1.6

The decimal is 1.6.

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Answer:

If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle. Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle. If you have the non-hypotenuse side adjacent to the angle, divide it by cos(θ) to get the length of the hypotenuse.

Step-by-step explanation:

The best description of the standard deviation is "Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries."

Standard deviation, denoted by σ, is defined as the measure which indicates the average distance of the observations from the mean of the data set. It tells how spread out numbers are. It is equal to the square root of the variance. Variance is the average of the squared differences from the mean.

For the given problem, the standard deviation can be describe as the average(mean) distance of the individual salaries of employees from the mean of all employees' salaries.

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The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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Answer:

I am not sure but I think it is 11

Step-by-step explanation:

I am so very sorry if im wrong :/

Answer:

x = 69 v = 103

Step-by-step explanation:

Angles in a triangle add up to 180 degrees:

34 + 77 + x = 180

x = 69

Angles on a straight line add up to 180:

77 + v = 180

v = 103

Answer:

Step-by-step explanation:

the sum of the interior angles in a triangles is 180°, take away from 180 the know angles (34° and 77°) and you will have your answer

180 - 34 - 77 = 69°

Now we find angle V

The angle V and the angle of 77 ° are on a straight line, so the sum is 180°, from 180° you subtract 77 ° and you have the value of V

180 - 77 = 103 °

Answer:

$1.35

Step-by-step explanation:

Set up a system of equations, where d represents the price of one drink and s represents the price of one sandwich:

3d + 5s = 25.05

4d + 2s = 13.80

We can solve this by elimination by multiplying the top equation by -2 and multiplying the bottom equation by 5.

-6d - 10s = -50.1

20d + 10s = 69

Add them together:

14d = 18.9

d = 1.35

The problem of finding the optimal value of a linear objective function on a feasible region is called a Linear Programming problem. It's abbreviated as LP. It can be defined as a mathematical technique that deals with finding the best outcome in a mathematical model whose conditions are represented by linear relationships.

Linear Programming is used to find the maximum or minimum value of a linear objective function, which is subject to specific constraints. Linear programming is useful in determining optimal solutions for resource allocation, such as material, machines, manpower, money, etc.Linear Programming (LP) problems have two major properties; the objective function and the constraints. The objective function of an LP problem is a linear function that measures the cost or profit of a particular solution. Constraints, on the other hand, are linear equations or inequalities that limit the values that decision variables can take on.

Linear Programming is a significant branch of optimization, and it has numerous applications in various fields such as engineering, finance, and economics.

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Answer:

A. 29.91

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(41) = 26 / x

0.869... = 26/x

26 / 0.869... = x

x = 29.91...

Given

Answer

Since it is given

KJ=KL

HK=HK (Common)

The only condition to show SSS congruency is HJ = HL

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

y= mx + b

y = 4x +3

Step-by-step explanation:

Answer:

r = 11.94

Step-by-step explanation:

Circumference Formula:

C = 2πr

75 = 2(3.14)r

75 = 6.28r

r = 75/6.28

r = 11.94

(a) To show that there can be at most 14 abundant circles, we can use the combination formula.

(b) There cannot be 14 abundant circles.

To see why, consider that each circle contains 4 points. If there were 14 abundant circles, then there would be a total of 14 * 4 = 56 points involved.

Since a circle abundant if it passes through at least 4 points of S, we can select any 4 points from the set S to form a circle. The number of ways to choose 4 points out of 8 is given by the combination formula:

C(8, 4) = 8! / (4!(8-4)!) = 70

Therefore, there can be at most 70 abundant circles.

However, this count includes some cases where multiple circles pass through the same 4 points. To eliminate these duplicates, we can consider the maximum number of unique sets of 4 points that can form abundant circles.

(b) There cannot be 14 abundant circles.

To see why, consider that each circle contains 4 points. If there were 14 abundant circles, then there would be a total of 14 * 4 = 56 points involved. However, we are given that the set S has only 8 points. Therefore, it is not possible to have 14 abundant circles.

The maximum number of abundant circles can be determined by considering the maximum number of unique sets of 4 points. Since there are C(8, 4) = 70 unique sets of 4 points, the maximum number of abundant circles is 70.

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The probability that the scores of the two randomly selected testers are within 10 points of each other is approximately 0.78 (rounded to two decimal places).

To find the probability that the scores of the two randomly selected testers are within 10 points of each other, we need to calculate the probability that the absolute difference between their scores (denoted as |d|) is less than or equal to 10.

Let X and Y be the scores of the two testers, with X ~ N(\(41, 41^2\)) and Y ~ N(\(41, 41^2\)) (since both have a mean of 41 and a standard deviation of 9).

We want to find P(|X - Y| ≤ 10).

Since X and Y are independent and normally distributed, the difference X - Y is also normally distributed with a mean of (41 - 41) = 0 and a variance of \((9^2 + 9^2) = 162.\)

Now, we can calculate the standard deviation of X - Y as √(162) ≈ 12.73.

Thus, P(|X - Y| ≤ 10) can be calculated using the standard normal distribution as follows:

Z = (10 - 0) / 12.73 ≈ 0.785

Using a standard normal table or calculator, we find that the probability corresponding to Z = 0.785 is approximately 0.7838.

Therefore, the probability that the scores of the two testers are within 10 points of each other is approximately 0.78 (rounded to two decimal places).

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In binary notation, the number "10000" represents the value of 16 in ordinary (decimal) numbers. Binary notation is a numbering system that uses only two digits, 0 and 1, to represent all numbers.

Each digit in a binary number represents a power of two, with the rightmost digit representing 2^0, the second-rightmost digit representing 2^1, and so on. In the number "10000", the leftmost digit represents 2^4, or 16, while all other digits are 0.

Therefore, the binary number "10000" is equal to the decimal number 16. It is important to note that binary notation is commonly used in computer programming and digital electronics, while ordinary (decimal) numbers are used in everyday life and most other fields of study.

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It will take John and Caroline approximately 1.54 hours, or 1 hour and 32.4 minutes, to wash the windows of the building if they work together.

Let's first calculate the individual rates of John and Caroline in terms of how much of the job they can complete per hour.

John's rate = 1/2.5 = 0.4 buildings per hour

Caroline's rate = 1/4 = 0.25 buildings per hour

When they work together, their rates will add up, so we can find the combined rate as follows:

Combined rate = John's rate + Caroline's rate

= 0.4 + 0.25

= 0.65 buildings per hour

This means that together, John and Caroline can wash 0.65 buildings per hour. To wash one complete building, they need to achieve a combined rate of 1 building per hour.

So the time it will take for them to wash one building together will be:

Time = 1 / Combined rate

= 1 / 0.65

= 1.54 hours (rounded to two decimal places)

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Answer:

9x - 54 = 18            x = 8

Step-by-step explanation:

54 less than 9 times x is 18

lets work backwards to solve this one.

We know that the entire eqation is equal to 18. We also know that 9 will be multiplied to x and that 54 will be taken from that.

 18   =   9x   -   54

+54               +  54

 72  =  9x

 72/9 = x

   8  =  x

Answer:

Value C is equivalent to value a and b

thank you next, ~  

Answer:

I think it B but I really don't know cause need like an example

The k in the equation represents Option B) The constant of variation

A constant is a value or number that never changes in expression; it's constantly the same. For example,  36 and 82 are constant because its face value is 36 and 82 respectively. Its value never changes.

Given here the equation y=kx where k is the slope and a scalar value thus it is independent of x and y and thus is a constant.

Hence, The k in the equation represents Option B) The constant of variation

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The graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points.

The answer is (C) Three.To determine the number of points where the graph of the equation y = x(x² - 2)(x² + x + 1) intersects the x-axis, we need to find the x-values that make the equation equal to zero.

Setting y = 0, we have:

0 = x(x² - 2)(x² + x + 1)

Since the product of three factors is zero, at least one of the factors must be zero.

1. Setting x = 0:

0 = 0(x² - 2)(x² + x + 1)

This gives us one solution: x = 0.

2. Setting x² - 2 = 0:

x² = 2

Taking the square root of both sides:

x = ±√2

This gives us two additional solutions: x = √2 and x = -√2.

3. Setting x² + x + 1 = 0:

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = 1, and c = 1. Substituting these values into the quadratic formula:

x = (-1 ± √(1² - 4(1)(1))) / (2(1))

Simplifying:

x = (-1 ± √(-3)) / 2

Since the discriminant is negative, there are no real solutions for this quadratic equation.

In summary, we have found three different x-values where the equation intersects the x-axis: x = 0, x = √2, and x = -√2.

Therefore, the graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points. The answer is (C) Three.

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In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.

To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.

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Answer:

DON'T LOOK AT THE PICTURE!!

Step-by-step explanation:

The largest integer 'n' for which 5^n is a factor of the sum of 98!, 99!, and 100! is 24.

We need to find the highest power of 5 that divides the product of the numbers 98!, 99!, and 100!.In order to determine the power of 5, we need to count the number of factors of 5 in the prime factorization of each number. We can use the formula n/5 + n/25 + n/125 + ... to calculate this.

For 98!, the power of 5 is 19 (98/5 + 98/25 + 98/125 + ...). For 99!, the power of 5 is 19 as well. For 100!, the power of 5 is 24 (100/5 + 100/25 + 100/125 + ...).

The power of 5 that divides the sum of these factorials, we take the minimum power among the three, which is 19. Therefore, the largest integer 'n' for which 5^n is a factor of the sum is 19.

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Answer:

Step-by-step explanation:

Given,

Area of the triangle

\( = {105m}^{2} \)

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

\( = > \frac{1}{2} \times base \times height = 105\)

\( = > \frac{1}{2} \times 15 \times h = 105\)

\( = > h = \frac{105 \times 2}{15} \)

=> h = 7 × 2

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = \(105^{2}\)

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

\(A = \frac{h_{b}b}{2}\)

Put the values in the formula

\(105 = \frac{h_{b}15 }{2}\)

Use MPE or Multiplication Property of Equality

210 = 15\(h_{b}\)

Now use DPE or Division Property of Equality

\(\frac{210}{15} = \frac{15_{hb} }{15}\)

14 = \(h_{b}\)

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 \(m^{2}\)

Answer: iI dunno but its 56778888b a

Step-by-step explanation:

Answer:

\(102\textdegree\)

Step-by-step explanation:

If we let the measure of the smallest angle be \(x\), then we know that the measure of the angle that is three times as large as it is \(3*x=3x\) and the measure of the angle that is \(10\textdegree\) larger than it is \(x+10\).

Because the sum of the measures of the interior angles in a triangle is \(180\textdegree\), we can write the following equation to solve for \(x\):

\(x+3x+x+10=180\)

Solving for \(x\), we get:

\(x+3x+x+10=180\)

\(5x+10=180\) (Combine like terms)

\(5x=170\) (Subtract \(10\) from both sides of the equation to isolate \(x\), Simplify)

\(x=34\textdegree\)

Therefore, the measures of the other angles are \(3x = 3 * 34=102\textdegree\) and \(34+10=44\textdegree\). Since \(102>44>34\), the measure of the largest angle will be \(\bf102\textdegree\). Hope this helps!

The probability that Mr. Espinoza will select the middle toll booth on Monday and Tuesday is 8%.

Probability refers to the odds of Mr. Espinoza selecting the middle toll booth on Monday and Tuesday when he could have selected toll booths 1, 2, 4, or 5.

The chances of selecting one out of five toll booths = 1/5 or 0.2

The likelihood of Monday and Tuesday out of the five working days = 2/5 or 0.4

The probability of selecting the middle toll booth on Monday and Tuesday = 1/5 x 2/5

= 0.2 x 0.4

= 0.08

= 8%

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The probability of rolling an odd number or rolling a 2 on a fair six-sided die is the fraction 2/3

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes

A fair six-sided die has faces numbered 1 to 6, and there are only three numbers that are odd numbers, which are 1, 2, and 3.

so;

probability of rolling an odd number = 3/6

probability of rolling a 2 = 1/6

probability of rolling an odd number or a 2 = 3/6 + 1/6

probability of rolling an odd number or a 2 =4/6

probability of rolling an odd number or a 2 = 2/3

In conclusion, 2/3 is the resulting fraction for the probability of rolling an odd number or rolling a 2 on a fair six-sided die.

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Answer:

$6

Step-by-step explanation:

If she got $10 more, then subtract that from 13.

13 minus 10 equals 3.

If she split half with her sister then add 3 more.

3 plus 3 equals 6.

She had $6 at the start