what is the probability of randomly selecting three americans from a group of 8 italians and 5 americans? enter your answer as a fraction.

The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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1. The variable is qualitative or quantitative is the variable is qualitative because it is an attribute characteristic (option d). 2. The quantitative variable is discrete or continuous is the variable is discrete because it is countable (option d).

The variable "Hair color" is qualitative because it represents an attribute characteristic rather than a numerical measure. It refers to the different categories or qualities of hair color, such as blonde, brown, black, or red. It is not based on a numerical scale or measurement. Therefore, the correct answer is D) The variable is qualitative because it is an attribute characteristic.

The variable "Number of members present at a meeting" is discrete because it is countable and takes on distinct, separate values. It cannot take on any value between the integers, and there are no fractions or decimals involved. The number of members present can only be whole numbers, such as 0, 1, 2, 3, and so on. Therefore, the correct answer is D) The variable is discrete because it is countable.

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Answer:

70 ft

step-by-step explanation:

perimeter of rectangle = 2 ( length + width )

2(20+15)

2(35)

70

Answer:

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

length = 20

width = 15

perimeter of rectangle is 2 (l+b)

2( 20 + 15 )

= 70 feet answer

Answer:

it is B

Step-by-step explanation:

hope this helps you.

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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Answer:

There is a non-removable discontinuity at x = 3

Step-by-step explanation:

We are  given that

\(f(x)=\frac{x^2+9}{x-3}\)

We have to find true statement about given function.

\(\lim_{x\rightarrow 3}f(x)=\lim_{x\rightarrow 3}\frac{x^2+9}{x-3}\)

=\(\infty\)

It is not removable discontinuity.

x-3=0

x=3

The function f(x) is not define at x=3. Therefore, the function f(x) is continuous for all real numbers except x=3.

Therefore, x=3 is non- removable discontinuity of function f(x).

Hence, option B is correct.

Answer:

C. Circle X, circle Z, circle Y

Step-by-step explanation:

Given

Circles X, Y and Z

Required

Order from greatest to highest

First, we need to simplify the given areas;

For Circle X

\(A = 9\pi\)

Take \(\pi\) as 3.14

\(A = 9 * 3.14\)

\(A = 28.26\)

For Circle Y

\(A = \frac{\sqrt3}{2}\)

This gives

\(A = \frac{1.732}{2}\)

\(A = 0.866\)

For Circle Z

\(A = 27.5\)

By comparing the above areas;

X has the largest area; followed by Z and then Y

Hence,

option C answers the question

Answer:

x,z,y

Step-by-step explanation:

These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.

To describe these people by having a preliminary look at the drawings using an expression with "tener," you can focus on their physical or emotional characteristics. For example, you can say:

1. "Tienen el pelo largo" (They have long hair)
2. "Tienen los ojos azules" (They have blue eyes)
3. "Tienen una sonrisa radiante" (They have a radiant smile)
4. "Tienen una mirada triste" (They have a sad look)
5. "Tienen mucha energía" (They have a lot of energy)

These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.

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Answer:

Water level before > 31

Step-by-step explanation:

The equation that represents this direct variation is  (7/4)x flowers planted in x minutes.

Given,

Caroline planted first 7 flowers in 4 minutes.

After 12 minutes, she had planted 21 different flowers.

We have to find the equation that represents this direct variation;

Here,

We can use Unitary method;

Unitary Method;

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

That is,

4 minute ⇒ 7 flowers

1 minute ⇒ 7/4 flowers

Therefore,

x minute ⇒ (7/4)x flowers

Therefore,

The equation that represents this direct variation is  (7/4)x flowers planted in x minutes.

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Answer:

11

Step-by-step explanation:

The method which is used to solve the provided equation using the distributive property is,

\(\rm x = 4 + 8.5 = 12.5\)

The distributive property is to make something easier to do or understand and to make something less complicated.

The given expression is \(\rm - 0.2(x-4) = -1.7\).

The expression can be written as

\(\rm 0.2(x-4) = 1.7\)

Divide both sides by 0.2

\(\rm x-4 = \dfrac{1.7}{0.2} = 8.5\)

Add 4 both sides, we have

\(\rm x = 4 + 8.5 = 12.5\)

Thus, the value of x is 12.5.

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Answer:

0.006

Step-by-step explanation:

The number is currently in scientific notation. To change scientific notation into standard notation move the decimal place equal to the number of the exponent. In this case, the exponent is -3. So, move the decimal place 3 digits. Since the 3 is negative, move the decimal to the left. Therefore, 6.0x10^-3 becomes 0.006 because the decimal was moved 3 places to the left. When moving the decimal fill in any empty spaces with zeros.

The probability that at least one bulb out of 12 will stop working during holiday season making all of lights go out on string is given by 0.2153.

Number of bulbs working throughout the holiday season = 12

Chance of each bulb working throughout the holiday season = 98%

Let A be the event that at least one bulb stops working during the holiday season, .

Making all of the lights go out, and let B be the event that all bulbs work throughout the holiday season.

Find P(A), the probability of event A.

Use the complement rule to find P(A),

P(A) = 1 - P(B)

To find P(B), we need to calculate the probability that each of the twelve bulbs works throughout the holiday season,

0.98¹² = 0.7847

So, the probability that all bulbs work throughout the holiday season is 0.7847.

This implies,

P(A) = 1 - P(B)

       = 1 - 0.7847

       = 0.2153

Therefore, probability that at least one bulb will stop working during  holiday season, making all of the lights go out on the string is 0.2153.

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Answer:

\(y=x*.4\)

Step-by-step explanation:

i think

anyways when ever anyone is done can someone please go to my recent question i need help and will make brainliest

The formula distance = speed x time must be used to calculate the duration of a marathon as a function of the runner's average speed.

 1: List the known data. For example, a marathon is 13.1 miles long, and an average runner moves at s miles per hour.

2 :Rearrange the equation to solve for time in Step 2: Time = Speed/Distance

3: Enter the known numbers for distance and speed into the equation: time = 13.1 miles per second.

4: If necessary, simplify the equation. The units of miles will cancel out because the time is measured in hours and the speed in miles per hour, therefore the ultimate unit of time will be hours.

  The final answer  is t = 13.1/s, which expresses the duration of a marathon (in hours) as a function of the runner's average speed (in miles per hour).

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The significance of the slope can be tested with a t-test, which is used to determine if there is a significant relationship between the independent variable and the dependent variable.

A bivariate hypothesis focused on a numeric independent variable and a numeric dependent variable could be tested with regression analysis, which is a statistical method used to model the relationship between variables.

The dependent variable is also known as the response variable, which is the variable that is being predicted or modeled, whereas the independent variable is the predictor variable, which is the variable that is used to make predictions about the dependent variable.

Regression analysis involves fitting a line or curve to the data points to find the relationship between the independent variable and the dependent variable.

The regression analysis provides a regression equation, which can be used to predict the value of the dependent variable for any given value of the independent variable.

The regression equation can also be used to test hypotheses about the relationship between the variables, such as whether the slope of the regression line is significantly different from zero.

The significance of the slope can be tested with a t-test, which is used to determine if there is a significant relationship between the independent variable and the dependent variable.

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Answer:

the slope is 3

Step-by-step explanation:

slope formula \(m=\frac{y2-y1}{x2-x1}\)

\(m\frac{5-(-1)}{0-(-2)}\) = 3

The number of bottles requires to pour the water into is gotten by dividing the total capacity of water by the capacity of the bottle

Answer = 10 bottles

Given Data

Let us find the number of bottle required

No of bottles = Total Capacity of the two bottle/Capacity of the small bottles

No of bottles =  51/5

No of bottles =10.2

10 approx.

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Answer:

1/9

Step-by-step explanation:

You find the area of the rectangle first (1/2 by 1/3)

then find the area excluding the parallelogram (the two triangles outside, which would be 1/6 by 1/3 since both are of the same side measurement)

(sorry if this is hard for you to understand by the way)

Then subtract the answer from step 2 from step 1 and voila, you get your answer

The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.

Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.

Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.

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The circumference of the given circle in which area of the circle is \(62cm^{2}\)

is \(27.8832cm\)

What about circumference of circle?

The circumference of a circle is the distance around the edge of the circle. It is calculated using the formula: C = 2πr where C represents the circumference of the circle, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Alternatively, the circumference of a circle can be calculated using the diameter of the circle, which is the distance across the circle passing through its center. The formula for the circumference of a circle using its diameter is: C = πd where C represents the circumference of the circle and d represents the diameter of the circle.

Define area of circle:

The area of a circle is the amount of space enclosed by the circle. It is calculated using the formula: A =\(\pi r^2\) where A represents the area of the circle, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Alternatively, we can use the diameter of the circle to calculate its area. The formula for the area of a circle using its diameter is: A = \((\pi /4)d^2\) where A represents the area of the circle, π (pi) is a mathematical constant approximately equal to 3.14, and d is the diameter of the circle.

According to the given information:

As, we know that Area of circle = \(\pi r^{2}\)

62 = \(\pi r^{2}\)

62 = \(3.14r^{2}\)

\(r^{2}\) = \(\frac{62}{3.14} = 19.74\)

\(r = \sqrt{19.74} = 4.45 cm\)

So, the circumference of the circle is = \(2\pi r\)

                                                             = 27.8832cm

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To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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9514 1404 393

Answer:

  y = -0.50x -2.50

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line:

  m = -1/2

The given point can be used with this slope in the point-slope equation for a line:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +5 = -1/2(x -5)

  y = -1/2x +5/2 -5

  y = -0.50x -2.50

Answer:

(a) 48/60 = 4/5

(b) 150/60 = 15/6 = 5/2 = 2 1/2

(c) 84/98 = 12/14 = 6/7

(d) 12/52 = 3/13

(e) 7/28 = 1/4

The fractions reduced to their simplest form:

(a) 48/60 simplifies to 4/5.

(b) 150/60 simplifies to 5/2.

(c) 84/98 simplifies to 6/7.

(d) 12/52 simplifies to 3/13.

(e) 7/28 simplifies to 1/4.

Let's discuss each question separately:

(a) To reduce the fraction 48/60 to simplest form, we need to find the greatest common divisor (GCD) of both numbers. The GCD of 48 and 60 is 12. Dividing both the numerator and denominator by 12 gives us the simplified fraction 4/5.

(b) For the fraction 150/60, we find that the GCD of 150 and 60 is 30. Dividing both the numerator and denominator by 30 results in the simplified fraction 5/2.

(c) The fraction 84/98 can be simplified by dividing both the numerator and denominator by their GCD, which is 14. This gives us the simplest form of 6/7.

(d) To simplify the fraction 12/52, we calculate the GCD of 12 and 52, which is 4. Dividing both numbers by 4 yields the simplest form of 3/13.

(e) The fraction 7/28 can be simplified by dividing both the numerator and denominator by their GCD, which is 7. This simplifies the fraction to 1/4.

In summary, the fractions in their simplest forms are:

(a) 4/5

(b) 5/2

(c) 6/7

(d) 3/13

(e) 1/4.

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a). Amount of trail mix in each pack = x / 25

b) Amount of trail mix in 8 packs = 8x / 25

c). Amount of trail mix in 15 packs = 3x / 5

What is the equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

a. To find how much of the entire bag is in each pack in decimal form, you need to divide the total amount in the bag by the number of packs. Let's say the bag contains x amount of trail mix. Then:

Amount of trail mix in each pack = x / 25

b. To find how much of the entire bag would 8 packs be in decimal form, you need to multiply the amount of trail mix in each pack by the number of packs. Using the formula from part (a), we have:

Amount of trail mix in 8 packs = (x / 25) * 8 = 8x / 25

c. Similarly, to find how much of the entire bag would 15 packs be in decimal form, you can use the same formula:

Amount of trail mix in 15 packs = (x / 25) * 15 = 3x / 5

Hence, a). Amount of trail mix in each pack = x / 25

b) Amount of trail mix in 8 packs = 8x / 25

c). Amount of trail mix in 15 packs = 3x / 5

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Alexis is incorrect, as the correct solution to the equation is given as follows:

x = -0.5.

The equations in this problem are given as follows:

The solution to these equations is when they are equal, that is:

On the graph, the solution is visualized by the intersection point of these two equations, which is of:

(-0.5,2).

This can also be verified algebraically, as:

4x + 4 = 5 + 6x

-2x = 1

x = -0.5.

(the numeric value of each of the functions at -0.5 is of 2).

Meaning that:

Hence Alexis is not correct.

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