The radius of a circle is 13 m. Find its circumference in terms of π.

The value of the probability of rolling a number less than 4 is 1/2

The probability of rolling a number less than 4 on a fair 6-sided die can be calculated by counting the number of favorable outcomes and dividing it by the total number of possible outcomes.

Therefore, the probability of rolling a number less than 4 is:

P(less than 4) = favorable outcomes / total outcomes = 3/6 = 1/2

So the probability of rolling a number less than 4 is 1/2, or 50%.

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In golf, lower scores are better, so a score of 70 is considered to be a good score for a round of golf, especially on a challenging course.

An integer is a whole number that can be either positive, negative or zero, and does not have a fractional or decimal part. Integers can be represented on a number line, with positive integers located to the right of zero and negative integers located to the left of zero.

an integer is a whole number that does not have a fractional or decimal part. In golf, a player's score for a round is determined by counting the number of strokes they took to complete the course.

So, if a golfer took 70 shots to finish his or her round on a golf course, the integer that represents this score is simply 70. This is because 70 is a whole number and there are no fractional or decimal parts involved in the score.

In golf, lower scores are better, so a score of 70 is considered to be a good score for a round of golf, especially on a challenging course.

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The probability of being a male and derive from a group of employees were asked whether they drive or walk to work is equal to 0.27.

From the table representing the probabilities of a group of employees.

Employees divided into two groups,

One is male .

Second is female.

While going for work there are two ways .

Derive to walk.

Walk to work.

Different probabilities are as follow,

Male and derive 0.27

Male and walk = 0.27

Female and derive = 0.23

Female and walk = 0.23

The required probability of being a male and derive

= 0.27.

Therefore, the probability of derive and male is equal to 0.27.

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Dear Editor,


I am writing to express my concern about the issue of leakages in Zambia. The constant leakages of natural resources such as oil, gas and minerals have been a major setback to the country's economic growth and development.


It is disheartening to note that despite the country being rich in natural resources, the benefits of these resources have not been fully realized due to leakages. This has led to a loss of revenue that could have been used to improve the lives of citizens through investments in education, healthcare, and infrastructure.


Furthermore, leakages also have negative environmental impacts, which can affect the health and wellbeing of communities living in the vicinity of these resources.


As a concerned citizen, I urge the government to take decisive action to curb leakages and ensure that the country's natural resources are utilized for the benefit of all Zambians.


Sincerely, [Your Name]

The possible values for the perimeter of Rebecca’s garage door are 48 feet or 48 inches

What is meant by perimeter?

Perimeter is the total length of the boundary of a two-dimensional shape. It is the sum of the lengths of all sides of the shape. The perimeter is commonly used to measure the distance around an object or figure and is often used in geometry to calculate the area of a shape.

According to the given information

The perimeter of a rectangle is calculated by adding the four sides of the rectangle. The formula for the perimeter of a rectangle is given as P = 2 (Length + Width) 12.

Therefore, the possible values for the perimeter of Rebecca’s garage door are 48 feet or 48 inches

Complete question is

Rebecca found the length and width of the 6. garage door. She used the measurements to find the perimeter of the garage door. Which of the following could be the perimeter of Rebecca's garage door? F 48 square feet /G 48 square inches/ H 48 feet/ J 48 cubic feet​

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the correct answer is B, between 6.5 and 9.5.The solution of given standard deviations Problem isit is unlikely that most of the data points would be located there.

Standard deviation is a statistical measure of the amount of variation or dispersion in a set of data values. It represents the average distance of each data point from the mean of the data set.

The answer to this question can be found using the empirical rule, which states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean.

Given that the mean is 8 and the standard deviation is 1.5, one standard deviation above the mean would be 8 + 1.5 = 9.5, and one standard deviation below the mean would be 8 - 1.5 = 6.5. Therefore, approximately 68% of the data would be expected to fall between 6.5 and 9.5.

Based on this information, we can eliminate answer choices A and D. Answer choice C is more than two standard deviations above the mean, so it is unlikely that most of the data points would be located there. Therefore, the correct answer is B, between 6.5 and 9.5.

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The probability that the bus will arrive early is 0.1, or 10%.

It is possible to calculate the likelihood that the bus will arrive early using the rule that the sum of all possible outcomes must equal 1.

P(on time) + P(late) + P(early) = 1 if P(E) is the likelihood that the bus will arrive early.

Using the probabilities as a replacement, we get:

0.6 + 0.3 + P(E) = 1.

For P(E), use the formula:

P(E) = 1 - 0.6 - 0.3 = 0.1.

Therefore, the probability that the bus will arrive early is 0.1.

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Answer:

4x + 2 > 10 and -3x-1 > 5 : No solution

| 3x | + 4< 10:  -2 < 2 x < 2

| x+2 | + 4< 3: No solution

|2x+4 | +2 > 4: x > -1 or x < -3

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

t = r + cm

Step-by-step explanation:

t = total amount of money spent on rental car

r equals the original payment amount (like how much it cost to even attain tthe car)

c = the number of dollars for every mile

m = amount of miles

You would multiply c and m since every mile the dollars goes up by itself

You need to add the original payment, r, to find the correct total

If there is no original payment then the formula could also just be :

t = cm

total = miles x money per 1 mile

I could provide better explanation if I had the chart you mentioned but hope this helps!

The reasonable constraint so the function is at least 600 would be A. 0 ≤ x ≤ 20.

Given the function y = -2x² + 40x + 600, we want to find the constraint for x so that the function's value is at least 600.

Since the parabola opens downward (as a is negative), the function will be at least 600 for all values of x within the interval where the parabola is above y = 600. The vertex of the parabola is at its maximum value, so we should look for the interval around the vertex (10, 800).

Looking at the given constraints, the option "0 ≤ x ≤ 20" is a reasonable constraint that ensures the function is at least 600. The parabola starts at a value of 600 at x = 0, reaches its maximum value at the vertex, and then returns to a value of 600 at x = 20.

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Answer: $21.25

Step-by-step explanation:
This can be solved using the following formula:

discount = (discount rate) x (regular price) sale price = regular price - discountPlugging in the values you provided:discount = (0.75) x (85) discount = 63.75sale price = 85 - 63.75 sale price = 21.25

Therefore, the sale price of the item is $21.25.

According to the information, the probability of missing the first penalty but scoring the second penalty is 3/16.

The probability of missing the first penalty is 1/4, and the probability of scoring the second penalty given that she missed the first one is 3/4. Therefore, the probability of missing the first penalty but scoring the second penalty is:

(1/4) * (3/4) = 3/16

So the probability is 3/16, or 0.1875 as a decimal, or 18.75% as a percentage, in its simplest form.

According to the above, the three diagrams would be like this:

      ------- Score (3/4)

     |

------|

     |------- Score (3/4)

     |

     ------- Miss (1/4)

             |

             ------- Score (3/4)

             |

             ------- Miss (1/4)

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Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

(c)  [tex]q \le \pi[/tex]

(d)  [tex]2 \ge d \ge 1[/tex]

Explanation:

The "less than or equal to" sign is ≤ which has a "less than sign" placed on top of a single horizontal bar. It can be thought of something like this [tex]\stackrel{ < }{=}[/tex] except there isn't a second horizontal bar.

The "d is between 2 and 1" seems to have a strange order to it. I have a feeling your teacher is wanting 2 ≥ d ≥ 1 because of that order. Normally we would list things from smallest to largest. We involve "or equal to" if we want to include the endpoints.

Part a: q is less than or equal to π: q ≤ π.

Part b: d is between 2 and 1: 1 < d < 2.

Less than (<), more than (>), less than or equal (≤), greater than or equal (≥), and not equal (≠) are the inequality symbols.

Numbers are compared using inequalities to identify the range (or ranges) of values which satisfy the requirements of a certain variable.

Part a: q is less than or  equal to π.

In this case:

q < π and q = π

Combining both:

q ≤ π

Part b: d is between 2 and 1

Here values 1 and 2 will not be taken for d.

d < 2 and d > 1

Thus,

1 < d < 2

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The equation of the third linear function is:

y = (-1/3)x + (8/3)

To find a linear function with a rate of change between Function A and Function B, we need to calculate the rates of change for each function.

For Function A, the rate of change is:

(2 - (-4)) / (6 - (-1)) = 6/7

For Function B, we find the rate of change by selecting any two points on the graph, such as (2, 6) and (-4, 7):

(6 - 7) / (2 - (-4)) = -1/6

So the rate of change for Function A is 6/7, and the rate of change for Function B is -1/6.

To find a linear function with a rate of change between these two values, we can select any value between 6/7 and -1/6. Let's choose a rate of change of -1/3.

We can use the point-slope form of a linear equation to write the equation of the line with a rate of change of -1/3 and passing through the point (2, 6):

y - 6 = (-1/3) * (x - 2)

y = (-1/3)x + (8/3)

In conclusion, the equation of the third linear function is:

y = (-1/3)x + (8/3)

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Therefore , the solution of the given problem of test statistic comes out to be 4.0085 is the test statistic for this two-sample t-test.

The Z-statistic, which confirms the precision of the conventional null hypothesis, is the only strategy that's even remotely close to a Z-test. Consider extrapolating a 2.5 E score in a 2 X y examination with a 0.05 threshold of significance. The p-value connected to this Z-value is 0.0124.

Here,

A two-sample t-test's test statistic is calculated as follows:

The formula for

=> t is (mean1 - mean2) / √((s1 / n1) + (s2 / n2)).

where mean1, mean2 represent the sample means for Group 1 (private institutions) and Group 2 (public institutions), respectively; s12, s22 represent the sample variances for

Groups 1 and 2, and n1, n2 represent the sample sizes for Groups 1 and 2, respectively.

Let's compute the test statistic based on the provided information:

The sample mean (mean1) for private institutions (Group 1) is $43,120.

$1,671,699,489.05 is the sample variance (s12).

Sample (n1) size is 37.

Public Institutions: Sample mean (mean2) = $25,469 (Group 2).

$1,682,553,858.66 is the sample variance (s22).

Number of samples

=>  (n2): 39

=> t = (43,120 - 25,469) / √((1,671,699,489.05 / 37) + (1,682,553,858.66 / 39))

=> t = 4.0085

Therefore, 4.0085 is the test statistic for this two-sample t-test.

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The characteristics of the above quadratic unction y=-0.8x^2 - 4x are given as follows.

The vertex is (5, -22).

The axis of symmetry is x = 5.

The function is increasing when x < 5 and decreasing when x > 5.

The x-intercepts are (-5, 0) and (0, 0).

The domain is all real numbers and positive when x < 0.

The range is (-∞, -22].

The function is negative when x > -5.

The  y-intercept is (0,0).

The function is negative when x is less than -5/2 and positive when x is greater than -5/2.

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the answer is option C: The difference in overall gain is $293.90.

How to solve the question?

To calculate the difference in overall loss or gain, we need to calculate the current value of the investor's portfolio for both high and low prices and then compare the two values.

First, let's calculate the current value of the investor's holdings for stock A:

High price: 120 shares x $105.19 per share = $12,623.80

Low price: 120 shares x $103.25 per share = $12,390.00

Next, let's calculate the current value of the investor's holdings for stock B:

High price: 35 shares x $145.18 per share = $5,080.30

Low price: 35 shares x $43.28 per share = $1,514.80

Now we can calculate the total current value of the investor's portfolio:

High price: $12,623.80 + $5,080.30 = $17,704.10

Low price: $12,390.00 + $1,514.80 = $13,904.80

The difference between the two values is:

High price: $17,704.10 - ($120 x $90) - ($35 x $145) = $299.30

Low price: $13,904.80 - ($120 x $90) - ($35 x $145) = $293.90

Therefore, the answer is option C: The difference in overall gain is $293.90.

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The value of x when the secant intersect is 5.

When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other.

Therefore,

(4 + 5)4 = (x - 2 + x + 4)(x - 2)

9(4) = (2x + 2)(x - 2)

36 = 2x² - 4x + 2x - 4

2x² - 2x - 4 - 36 = 0

2x² - 2x - 40 = 0

x² - x - 20 = 0

x² - 5x + 4x  - 20 = 0

x(x - 5) + 4(x - 5) = 0

(x + 4)(x - 5) = 0

(x - 5)(x + 4) = 0

x = 5 or x = -4

Therefore,

x = 5

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There are 2 sides.

First side is 12 by 2 so you would multiply them together which is 24 and since there is another side the same length multiply by 2 which is 48.

Second side small side is 2 by 4 so multiply them together which is 8 and since there is another side the same demension multiply 8 by 2 which is 16.

The last side is 12 by 4 so again multiply them together which is 48. Multiply it by two since there is another side with same dimension which is 96.

Now do 48 + 16 + 96 (the answer gotten after finding the areas for each sides and their identicals) which is 160 ft²

The label for rectangular prism that has a surface area of 96 square meters is in the attached image.

The synthetic division of (x³ - 12x² + 15x + 7) / (x +4) gives Quotient

x² + 8x -17.

We have to divide.

(x³ - 12x² + 15x + 7) / (x +4)

Now, performing the division we get

              (x + 4) | x³ - 12x² + 15x + 7 | x² + 8x -17

                           x³ - 4x²

                         ________

                                  8x² + 15x

                                   8x² + 32x

                               ___________

                                             -17x + 7

                                               -17x -68

                                             __________

                                                          61

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Answer: the answer is

Step-by-step explanation:

eggs

Answer: c=60

Step-by-step explanation: Based on the given conditions, formulate::

15/c= 6/24

By setting up and solving a proportion that represents the ratio of blue counters to total counters in two different scenarios, we find that an estimate for the total number of counters in the bag is 60.

We can set up a proportion to solve this problem. In this case, the counters represent the total numbers in different situations. Initially, there are 15 blue counters out of an unknown total 'x'. Meanwhile, Hussain picked 6 blue counters out of 24. As these are similar situations (picking blue counters out of a total), we can express this as a proportion as follows: 15/x = 6/24 .

To solve this proportion, simply cross multiply and solve for x: 15*24 = 6*x. Simplify this to 360 = 6x. Diving both sides by 6 gives the value of x as 60.

So an estimate for the total number of counters in the bag, or 'x', is 60.

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If Mrs. Lang has x students in each of her 5 classes, then she has a total of 5x students.

Ms. Easter has 4 less students in each of her classes, so she has x - 4 students in each of her 5 classes.

To find out how many students are in all of Ms. Easter's classes, we can use the expression:

5(x - 4)

This simplifies to:

5x - 20

Therefore, there are 5x - 20 students in all of Ms. Easter's classes.

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Looking at the table, If Bridget has 10 animals in total with 30 legs, it only means she has 5 chicken.

Based on the information on the table,

For the number of chicken legs, we say

9 x 2 = 18       3 x 2 = 6          7 x 2= 14       14 x 2 = 28

If we sum these number to the total number of legs in each row, it would be;  4 + 18 = 22   8+6 = 14   12 + 14 = 26     16+28 = 44

This means that all the values provided so far does not give us the accurate number of legs of the animals.

If 5p = 20L the number of hen should be 30- 20 = 10/2 = 5

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