What is the probability of rolling a 2 or a 5 on a six-sided number cube?

In the C programming language, the standard library procedure for reading a 32-bit signed decimal integer from standard input is scanf(). In the Python programming language, the standard library is int(input()).

An example usage of scanf() to read a 32-bit signed decimal integer from standard input is:

#include <stdio.h>

int main() {

   int my_integer;

   scanf("%d", &my_integer);

   printf("The integer is %d\n", my_integer);

   return 0;

}

An example usage of int(input()) to read a 32-bit signed decimal integer from standard input is:

my_integer = int(input())

print("The integer is", my_integer)

Other programming languages may have different procedures for reading input.

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Answer: 4.3

Step-by-step explanation: To find the range you have to subtract the highest number by the lowest number. So you'd subtract 2.6 by -1.7. And since -1.7 is already a negative number, it would get turned into a positive.

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

If x denote the number of birds that alana may have in the next two years, the mean of X is 0.7 and the variance of X is 0.61.

To compute the mean and variance of X, we first need to calculate the expected value of X, denoted by E(X), using the marginal probability distribution of X:

E(X) = Σ(x * P(x)) for all values of x

= (0 * 0.5) + (1 * 0.3) + (2 * 0.2)

= 0 + 0.3 + 0.4

= 0.7

Next, we can compute the variance of X, denoted by Var(X), using the formula:

Var(X) = E(X^2) - [E(X)]^2

To calculate E(X^2), we use the formula:

E(X^2) = Σ(x^2 * P(x)) for all values of x

= (0^2 * 0.5) + (1^2 * 0.3) + (2^2 * 0.2)

= 0 + 0.3 + 0.8

= 1.1

Therefore, the variance of X is:

Var(X) = E(X^2) - [E(X)]^2

= 1.1 - (0.7)^2

= 1.1 - 0.49

= 0.61

In summary, the mean of X is the weighted average of its possible values with their corresponding probabilities, and the variance of X measures how spread out the distribution is from its mean.

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The average annual return on large-company stock from 1926 through 2016 in nominal terms was approximately 10.07%. This means that, on average, investors who held large-company stocks saw their investments grow by 10.07% each year before adjusting for inflation.

b. The average annual return on large-company stock from 1926 through 2016 in real terms, after adjusting for inflation, was approximately 6.88%. This takes into account the impact of inflation on the purchasing power of the returns. While the nominal return of 10.07% may seem higher, the real return of 6.88% reflects the actual increase in wealth that investors experienced during this period.

The difference between the nominal and real returns can be attributed to the effects of inflation. Inflation erodes the purchasing power of money over time, meaning that the same amount of money can buy fewer goods and services in the future. By adjusting for inflation, we get a more accurate measure of the true growth of investments in terms of real value. Therefore, while the nominal return may seem more impressive, it is important to consider the real return to understand the actual increase in wealth over the long term.

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The rule says that the sum of any two sides has to be smaller than the third side so, no it can't

To rewrite the equation by completing the square, we first rearrange it as follows:  \(x^{2}\) + 2x - 6 = 0. Thus, the correct answer is (Choice B) x = -1 ± √7.

Next, we add and subtract a constant term that will allow us to complete the square:
\(x^{2}\) + 2x + 1 - 1 - 6 = 0
\((x+1)^{2}\)  - 7 = 0

Now we have the equation in the form \((x+c)^{2}\)  = d, where c = -1 and d = 7. Thus, the solutions to the equation are given by: x + 1 = ± √7
x = -1 ± √7
Therefore, the answer is (Choice B): x = -1 ± √7.

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==========================================================

Explanation:

We can pick any two rows from the table to get the (x,y) points needed to find the slope.

Let's say we pick the second and third rows

Subtract the y values: 14-6 = 8

Subtract the x values in the same order: 1-3 = -2

Divide the differences: 8/(-2) = -4

The slope is -4

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

You can use the slope formula

Let's say the points are (x1,y1) = (1,14) and (3,6)

m = (y2-y1)/(x2-x1)

m = (6-14)/(3-1)

m = -8/2

m = -4

It's the same basic idea as the previous section. You subtract the y values together (y2-y1) and the x values together (x2-x1) and divide the differences to get m. The order of subtraction doesn't matter as long as you stay consistent. If you do something like y2-y1 and x1-x2, then you'll get the wrong slope value.

(e): Approximately normal with mean 5.5 days and standard deviation 0.26 days.

What is standard deviation?

Standard deviation is a measure of the spread or dispersion of a set of data from its mean or average. It measures how far the values in a dataset are from the mean of the dataset.

The sample size needed for this approximation to hold depends on the shape of the population distribution, but a commonly used rule of thumb is that a sample size of at least 30 is sufficient for most cases.

In this case, the sample size is 100, which is larger than 30, so we can use the central limit theorem to approximate the sampling distribution of the sample mean.

The mean of the population distribution is 5.5 days, and the standard deviation is 2.6 days. The standard deviation of the sampling distribution of the sample mean can be approximated using the formula:

standard deviation of the sample mean = standard deviation of the population / square root of sample size

= 2.6 / sqrt(100)

= 0.26

Therefore, the best description of the sampling distribution of x is option (e): approximately normal with mean 5.5 days and standard deviation 0.26 days.

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\(P = l + l + b + b\)

\(P = 2(2a + 3) + 2(8a - 12)\)

\(\boxed{\sf{P=20a-18}}\)

\(P = 20(3) - 18\)

\(P = 60 - 18\)

\(\boxed{\sf{P = 42 cm}}\)

\(P = (3b + 7) + (7b - 2) + (7b - 2)\)\(\boxed{\sf{P = 17b+3}}\)

\(P = 17(6) + 3\)

\(P = 102 + 3\)

\(\boxed{\sf{P = 105 \: m}}\)

Answer:

175 Euros

Step-by-step explanation:

25(7) = 175

25(5) = 125

175 + 125 = 300

Answer:

  It is the 3rd one

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

x-6-6/x+4

Mia delivers newspapers at a rate of 140 papers per hour.

The correct answer is C.

To determine Mia's delivery rate, we need to calculate the number of newspapers she delivers per hour.

Mia takes \(\frac{5}{7}\) hours to deliver \(\frac{100}{1}\) newspapers.

We can convert the given fraction of time to hours by multiplying the numerator by 1 hour:

\(\frac{5}{7}\) hours = \((\frac{5}{7} )\times1\) hour

= \(\frac{5}{7}\) hour

Now, we can calculate Mia's delivery rate per hour by dividing the number of newspapers she delivers (100/1) by the time it takes her to deliver them (\(\frac{5}{7}\) hour):

Delivery rate = \(\frac{(\frac{100}{1} )}{\frac{5}{7}}\)

= \((\frac{100}{1} )\times(\frac{7}{5} )\)

= \(\frac{700}{5}\)

= \(140\)

Therefore, Mia delivers newspapers at a rate of 140 papers per hour.

The correct answer is C.

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The probability that a voter who favors stronger gun control laws is a Republican is 0.09 or 9%.

The probability that a voter who favors stronger gun control laws is a Republican can be found by using Bayes' theorem.

Let A be the event that a voter is a Republican and B be the event that a voter favors stronger gun control laws. Then, we want to find P(A|B), the probability that a voter is a Republican given that they favor stronger gun control laws.

Using Bayes' theorem:

P(A|B) = P(B|A) × P(A) / P(B)

P(B|A) is the probability that a voter favors stronger gun control laws given that they are a Republican, which is 0.09.

P(A) is the probability that a voter is a Republican, which is 0.09 + 0.22 + 0.11 = 0.42 (sum of Republican, Democrat, and Other probabilities).

P(B) is the overall probability that a voter favors stronger gun control laws, which is 0.09 + 0.22 + 0.11 = 0.42 (sum of Favor and Oppose probabilities for all political affiliations).

Therefore,

P(A|B) = 0.09 × 0.42 / 0.42 = 0.09

So the probability that a voter who favors stronger gun control laws is a Republican is 0.09 or 9%.

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The difference quotient of the function f(x) = 4x² - 5x is 8x + 4h - 5.

The formula for difference quotient is expressed as:

\(\frac{f(x+h)-f(x)}{h}\)

Given the function in the question:

f(x) = 4x² - 5x

To solve for the difference quotient, we evaluate the function at x = x+h:

First;

f(x + h) = 4(x + h)² - 5(x + h)

Simplifying, we gt:

f(x + h) = 4x² + 8hx + 4h² - 5x - 5h

f(x + h) = 4h² + 8hx + 4x² - 5h - 5x

Next, plug in the components into the difference quotient formula:

\(\frac{f(x+h)-f(x)}{h}\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - (4x^2 - 5x)}{h}\\\\Simplify\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - 4x^2 + 5x)}{h}\\\\\frac{(4h^2 + 8hx - 5h)}{h}\\\\\frac{h(4h + 8x - 5)}{h}\\\\8x + 4h -5\)

Therefore, the difference quotient is 8x + 4h - 5.

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Answer:

He has 1 50c coin, 2 10c coins and 1 5c coin.

Step-by-step explanation:

50c + 10c + 10c + 5c

He has 1 50c coin, 2 10c coins and 1 5c coin.

There are two cases of collisions : Key “23” and “27NLY” collide at slot “1”.

Key “27NLY” and “a” collide at slot “(9+L+Y) mod 11”.

Given a sequence of 5 element keys < 23, I 38, 27 >, for searching task: H(k) = 3, 26, 16, 38, 27 mod 11. The steps and calculations are shown in the table below:

Here are the steps to insert the keys into a hash table of 11 slots using the hash function H(k) = 3, 26, 16, 38, 27NLY mod 11:

Key                                  Hash Value                                             Slot

23                                    23 mod 11 = 1                                             1

38                                    38 mod 11 = 5                                     5

27NLY                    (3 + 26 + 16 + 38 + (27 * N)

                               + L + Y) mod 11 = (86 + N

                                     + L + Y) mod 11                       (86 + N + L + Y) mod 11

N = 13

-> (86 +

N + L +

Y) mod

11= (86

+ 13+ L

+ Y) mod

11 = (99+L

+Y) mod

11 = (9+

L+Y) mod

11 -> Slot:

(9+L+Y)

mod 11  

a                                              a mod 11 = a                                        a

The cases of collision are:

Key “23” and “27NLY” collide at slot “1”.

Key “27NLY” and “a” collide at slot “(9+L+Y) mod 11”.

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Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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The scale used but Brenda is 1 inch = 5 feet

A scale is used to give context to the user about the size of the area that map covers. It is made by converting real-life measurements into physical measurements for quick calculations.

Brenda measured the middle school and made a scale drawing.

The actual length of the gym = 90 ft.

The length she used in her drawing = 18 inches.

So we will now find the scale used for this drawing,

18 inches = 90 ft.

therefore, 1 inch = 90/18 ft.

             i.e. 1 inch = 5 ft.

Hence, The scale used but Brenda is 1 inch = 5 feet.

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Answer: B

Step-by-step explanation:

(x,y) (-3,0) look for the point located at -3 on the x-axis and 0 on the y-axis

Answer:

1 and 0

Step-by-step explanation:

i had that

Answer:

x would equal 1/4

x = 1/4

Step by step:

1. Distribute the equation on the left 4(2x+2). That would equal 8x+8 when you multiply 4 · 2x and 4 · 2

2. Rearrange the terms for the equation on the left side 8(2-3x). It should be 8(-3x+2)

3. Now distribute the left side. 8(-3x+2) = -24x+16

4. Now subtract 8 from both sides of the equation ( 8x+8-8 ) = (-24x+16-8)

You should get 8x= -24x+8

5. Now add 24x to both sides ( 8x+24x = -24x+8+24x )

6. Combine the like terms (8x+24x = 32x = 8)

7. Divide both sides by 32. 32/32 and 8/32

And that should get you 1/4

Hope the explanation helped

Answer:

x = 0.25

Step-by-step explanation:

The first step for this problem is  to multiply (2x+2) by 4 and (2-3x) by 8:

4(2x+2) = 8x+8

8(2-3x) = 16-24x

The equation becomes: 8x+8 = 16-24x

The second step for this problem is to move the terms with x to one side of the equals sign, and to move the terms without x to the other side.

8x+8 = 16-24x

8x+24x = 16-8

The third step is to combine like terms.

8x+24x = 32x

16-8 = 8

The equation becomes 32x = 8

The final step is to divide 8 by 32 to isolate the x:

32x = 8

x = 8/32 = 1/4 = 0.25

Answer:

  27

Step-by-step explanation:

You want to know the ACT composite test score for the 87.49th percentile, given the ACT scores have a mean of 21.0 and a standard deviation of 5.2.

The Z-table in the first attachment shows you the Z-value of the 87.49th percentile is 1.10+0.05 = 1.15.

The corresponding score is ...

  X = μ +σZ

  X = 21.0 +5.2·1.15 ≈ 27

A learner must earn a score of 27 to be at the 87.49th percentile on the ACT composite test.

<95141404393>

The sides are 20 and 21 in   right triangle.

What defines a right triangle?

The term "right triangle" refers to a triangle with an interior angle of 90 degrees.

                 The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

29² = x²  + (x+1)²

x²+ x² +2x +1 = 841

2x² +2x -840 =0

x² + x -420 =0

(x+21)(x-20)=0

x=20

the sides are 20 and 21

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Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

We have,

To determine if the die is balanced, we can perform a chi-square test of goodness of fit.

The null hypothesis is that the die is balanced, and the alternative hypothesis is that the die is not balanced.

First, let's calculate the expected frequencies for each outcome assuming the die is balanced. Since there are 180 tosses in total, each outcome is expected to have an equal probability of 1/6.

Expected frequency for each outcome

= (Total tosses) x (Probability of each outcome)

Expected frequency for each outcome = (180) x (1/6)

Expected frequency for each outcome = 30

Now, we can calculate the chi-square test statistic using the formula:

χ² = Σ [(Observed frequency - Expected frequency)² / Expected frequency]

Let's calculate the chi-square test statistic:

χ² = [(28 - 30)² / 30] + [(36 - 30)² / 30] + [(36 - 30)² / 30] + [(30 - 30)² / 30] + [(27 - 30)² / 30] + [(23 - 30)² / 30]

χ² = [(-2)² / 30] + [(6)² / 30] + [(6)² / 30] + [(0)² / 30] + [(-3)² / 30] + [(7)² / 30]

χ² = 4/30 + 36/30 + 36/30 + 0/30 + 9/30 + 49/30

χ² = 134/30

χ² ≈ 4.467

Next, we need to compare the calculated chi-square value to the critical chi-square value at a significance level of 0.01 and degrees of freedom equal to the number of outcomes minus 1 (6 - 1 = 5).

Looking up the critical chi-square value in a chi-square distribution table with 5 degrees of freedom and a significance level of 0.01, we find it to be approximately 15.086.

Since the calculated chi-square value (4.467) is less than the critical chi-square value (15.086), we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that the die is not balanced at a 0.01 level of significance.

Thus,

Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

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Answer:

The Answer is 1 and 4

Step-by-step explanation:

Because there is only 4 numbers.

Answer:

$35.75

Step-by-step explanation:

100-35=65

.65 x 55 = 35.75

Answer:

$35.75

Step-by-step explanation:

35% converted to decimal is .35

55x.35= 19.25 the sale amount

$55 original price - $19.25sale = $35.75 sales price of pants.

Answer: (m-3)(5m-2)

Step-by-step explanation:

5m^2-17m+6 factored is (m-3)(5m-2).

Answer:

width=9 cm

length =36cm

Step-by-step explanation:

let us suppose width of rectangle be x

then,length of rectangle =4x

given, perimeter of rectangle =90cm

we know that,

perimeter of rectangle=2(length + width)

90cm=2(4x+x)

or,90/2cm=5x

or,45cm=5x

or,(45/5)cm=x

or,x=9cm..

therefore ,width(x)=9 cm

and length (4x)=4*9=36cm