Ned is driving at 72km/h, at this rate how long (in hours and minutes) will it take him to drive 210km

Answer:

Step-by-step explanation:

Therefore, the expression for Tom's age in 7 years is (x+7) and the main answer is Expression for Tom's age in 7 years is (x+7).

Given that in 7 years, Tom will be half as old as Patty. Let's represent their age of Patty by "p".We know that Tom's present age is "x" years. Therefore, the expression for Tom's age in 7 years will be (x+7). Now, we can write an equation based on the given information as x + 7 = (p + 7)/2. Multiplying both sides by 2, we get:2x + 14 = p + 7Rearranging the above equation, we get:2x = p - 7Therefore, the expression for Tom's age in 7 years is (x+7) and the r is: Expression for Tom's age in 7 years is (x+7).

Therefore, the expression for Tom's age in 7 years is (x+7) and the main answer is Expression for Tom's age in 7 years is (x+7).

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A is the answer because if we want the unit rate we do

2/3÷2/3 and 15 1/5, we can turn 15 1/5 into a improper fraction first so 76/5 and we do 76/5 ÷2/3 which is equal to

76/5×3/2=114/5

114/5 simplifies into 24 4/5.

so Naomi can travel 24 4/5 gal per mile.

Hope this helps!

Answer:x=16

Step-by-step explanation:

just divide both sides by negative 1

The answer is (a) There is not enough information to compare John's and Peter's exam scores.

A z score and a T score are both measures of how a particular score compares to the mean in a distribution, but they are calculated using different formulas. A z score measures the number of standard deviations a score is from the mean, while a T score is a linear transformation of the raw score that is adjusted to have a mean of 50 and a standard deviation of 10.

Without additional information about the specific distribution of scores, the mean, and the standard deviation, we cannot determine the raw scores of John and Peter or compare their relative performance on the exam. The z score of 0.5 for John indicates that his score is half a standard deviation above the mean, but we don't know the actual raw score. Similarly, the T score of 60 for Peter indicates that his score is above the mean, but we don't have enough information to determine the raw score or make a direct comparison between the two.

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1) (i)The number of cups of coffee sold in a cafeteria during lunch is discrete data.

ii) The blood pressure of a group of students the day before their final exam is continuous data.

2) The probability that exactly 8 of them favor the building of police substation 3 is 0.0639.

3) The mean and standard deviation of the number of left-handers in the class is  7.5 and 2.524.

What is the probability?

A probability is a number that reflects how likely an event is to occur. It is expressed as a number between 0 and 1, or as a percentage between 0% and 100% in percentage notation. The higher the likelihood, the more probable the event will occur.

Here, we have

Given: In a recent survey 76% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen at random, find the probability that exactly 8 of them favor the building of the police substation 3.

we have to find the mean and standard deviation of the number of left-handers in the class.

1)

i) The number of cups of coffee sold in a cafeteria during lunch is discrete data.

ii) The blood pressure of a group of students the day before their final exam is continuous data.

2) We have

n = 14  p = 0.76

using a binomial to find the following probability

P(X = 8) = ¹⁴C₈0.76⁸(1-p)⁶

P(X=8) = 0.0639

3)

Given n = 50  p = 0.15

we know the mean and standard deviation of binomial distribution

mean = n× p = 50×0.15 = 7.5

standard deviation = √(n×p×(1-p)) = √(50×0.15×0.85)

= 2.524

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When determining sample size for the first test, it is most important to Weigh the potential consequences of a test that does not lead to improvement against the belief in success.

When evaluating a patient, a patient assessment form is used to evaluate the patient's potential diagnosis and the appropriate course of therapy. To prevent misdiagnosis and ensure that the right therapy is given, it is crucial to gather relevant data. In order to register patients for operations provided by medical institutions, patient registration forms are utilised. Our free patient registration forms will efficiently capture patient information online, streamlining the registration and onboarding process whether you need to register new patients for your hospital, clinic, health centre, or private practise. Usability testing may find and support data-driven design decisions that have been drawn from practitioner usage of the system in a hectic office setting. Health care safety may be improved by using human factors understanding of HCI design and its effects on human performance.

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Considering the definition of an equation and the way to solve it, the total cost of the shoes is 0.20×(x-15).

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

Being "x" the price of the shoes, and knowing that:

the equation in this case is:

Total cost= 0.20×(x-15)

Finally, the total cost of the shoes is 0.20×(x-15).

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Answer:

perimeter = 22 inch

area= 24 inch

length= 8 inch

width= 3 inch

the area and perimeter of the rectangle.

\(perimeter = l + l + w + w\)

\(p = 8 + 8 + 3 + 3\)

\(p = 22 \: inch\)

\(area = l \times w\)

\(a = 8 \times 3\)

\(a = 24 {in}^{2} \)

Therefore, there are 15,504 different samples possible when choosing 5 chips from a batch of 20 semiconductor chips.

To determine the number of different samples possible when choosing 5 chips from a batch of 20 semiconductor chips, we can use the combination formula. The number of different samples (denoted as C(n, k)) can be calculated using the formula:

C(n, k) = n! / (k!(n - k)!)

where n represents the total number of chips and k represents the number of chips in the sample.

In this case, we have:

n = 20 (total number of chips)

k = 5 (number of chips in the sample)

Using the formula, we can calculate the number of different samples:

C(20, 5) = 20! / (5!(20 - 5)!)

Calculating this value, we find that:

C(20, 5) = 15,504

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The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

The number of boys are 18 and the number of girls are 30.

Step-by-step explanation:

The ratio of number of girls to the boys = 3 : 5

Let the number of girls is g and boys is b initially.

b : g = 3 : 5

5 b = 3 g ..... (1)

Now, girls are 6 + g and boys are b - 9

So, the ratio is

(b - 9) : (6 + g) = 1 : 4

4 b - 36 = 6 + g

4 b - g = 42 .... (2)

From ( 1 ) and ( 2 )

\(4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18\)

And , g = 5 x 18/3 = 30

So, the number of boys are 18 and the number of girls are 30.  

9514 1404 393

Answer:

  5 1/2 inches

Step-by-step explanation:

The page is 16 -5 = 11 inches wider than the photo, so the margin on either side needs to be 11/2 = 5 1/2 inches.

The formula for the volume of cylinder with base area B and height H is V = B × H.

A cylinder is a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Area of a circle which is the base of a cylinder = πr²

Given that;

Plug the given values into the above formula.

V = π × r² × h

V = πr² × h

V = Base area × Height

V = B × H

Therefore, formula for the volume is V = B × H.

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When selecting a single score from a population with a mean of 100 and a standard deviation of 20, we can expect, on average, the selected score to be approximately 20 units away from the population mean.

The population mean (μ) is a measure of the average or central tendency of the population, while the population standard deviation (σ) is a measure of the variability or spread of the scores in the population. In this case, the population mean is 100 and the population standard deviation is 20.

When we select a single score from the population, we can expect it to be, on average, close to the population mean. This is because the population mean represents the center or average value of the population.

The standard deviation provides us with a measure of the dispersion or spread of scores around the mean. A standard deviation of 20 indicates that the scores in the population tend to deviate from the mean by an average of 20 units.

Considering that the standard deviation represents the average distance between individual scores and the mean, we can conclude that, on average, a single score selected from the population would be approximately 20 units away from the population mean.

However, it is important to note that this is a probabilistic statement. While the average distance between individual scores and the mean is expected to be 20 units, there will be some scores that are closer to the mean and others that are further away.

The distribution of scores in the population follows a bell-shaped curve (assuming a normal distribution), and the majority of scores will fall within a few standard deviations from the mean.

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Note the full question is A population has μ = 100 and σ = 20. If you select a single score from this population, on the average, how close would it be to the population mean? Explain your answer.

An equation of the line that passes through the point (-3, -7) and is parallel to the line 2x-3y=24 can be found by taking the slope of the line 2x-3y=24 and using it to write the equation of the line in point-slope form. The slope of the line 2x-3y=24 is 3/2, so an equation of the line that passes through (-3, -7) and is parallel to the line 2x-3y=24 can be written in the form y-y₁ = m(x-x₁), where m is the slope of the line, which is 3/2 in this case. Plugging in the coordinates of the point (-3, -7) and the slope 3/2, we get the equation y-(-7) = (3/2)(x-(-3)), which simplifies to y+7 = 3/2(x+3). Multiplying both sides of the equation by 2/3 to get rid of the fraction on the right-hand side, we get the final equation: 2/3y + 14/3 = x + 3. This is the equation of the line that passes through the point (-3, -7) and is parallel to the line 2x-3y=24.

Answer:

f (g(x) = f (2x) = 2x + 1 (∵ f (x) = x + 1)

Answer:

2x+1=0 is the answer

(g(x) = f (2x) = 2x + 1 (∵ f (x) = x + 1)-

Answer:

y = 45

I hope this is the answer you are looking for

Step-by-step explanation:

Answer: There is no solution for this equation

Step-by-step explanation:

According to the situational theory of leadership, a leader with a "Delegating style" provides little direction or support because complete responsibility for decisions and their implementation is turned over to followers.

Situational Leadership Theory (SLT) is a leadership theory that prioritizes the context and individuals involved in leadership over a universal leadership style. Leadership behavior and style, in this theory, should be driven by the context of the situation, and the leader must have a proper understanding of their own leadership style and its impact on followers.

The situational leadership theory suggests that the leadership style can be changed based on the situation and the abilities of the followers. The four leadership styles in situational leadership theory are: Directing, Coaching, Supporting, and Delegating.

The Delegating style of leadership is one where the leader allows the followers to make decisions. In this style, the leader turns over complete responsibility for decisions and their implementation to followers. This style is effective when followers are capable of making informed decisions.

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Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = x + 7 ← equation of line

Hope this helps.

Answer:

Yashoda got 1800

Step-by-step explanation:

Yashoda : Ingrid

3             :   2

Ingrid got 1200

Divide this by 2

1200/2 = 600

Multiply each side by 600

Yashoda : Ingrid

3*600      :   2*600

1800       : 1200

Yashoda got 1800

The probability that the archer takes at least 5 attempts to hit the bullseye is 0.4096.


To find this probability, we need to calculate the complementary probability, i.e., the probability of the archer hitting the bullseye within the first 4 attempts.

Suppose the probability of hitting the bullseye in a single attempt is p, then the probability of missing it is (1-p). We can now calculate the probability of hitting the bullseye within the first 4 attempts as:

1 - (Probability of missing the bullseye in all 4 attempts) = 1 - (1-p)⁴.

Now, to find the probability of the archer taking at least 5 attempts, we subtract the complementary probability from 1:

P(at least 5 attempts) = 1 - [1 - (1-p)⁴] = (1-p)⁴.

Assuming p is given or can be determined, you can calculate the probability using the formula provided.

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The area of the circle is 30.2 square feet. Then the correct option is B.

Given that:

Diameter, d = 6.2 feet

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The radius of the circle is given as,

r = d / 2

r = 6.2 / 2

r = 3.1 feet

The area of the circle is calculated as,

A = 3.14 x (3.1)²

A = 3.14 x 9.61

A = 30.1754

A ≈ 30.2 square feet

Thus, the correct option is B.

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The water capacity of the container, when completely full, is given by \(\(V_{\text{total}} = 5 \times 5 \times 12 + 6^3 = 985\)\) cubic inches.

To calculate the water capacity of the container, we need to find the total volume of the plastic rectangular prism and the plastic cube.

Let's denote the dimensions of the plastic rectangular prism as length \((\(L\)), width (\(W\)), and height (\(H\))\), and the side length of the plastic cube as \(S\).

The volume of the rectangular prism is given by \(\(V_1 = L \times W \times H\)\), and the volume of the cube is given by \(\(V_2 = S^3\).\)

Given the information provided, the dimensions are as follows: \(\(L = 5\) in, \(W = 5\) in, \(H = 12\) in, and \(S = 6\) in.\)

The total volume of the container is obtained by adding the volumes of the rectangular prism and the cube: \(\(V_{\text{total}} = V_1 + V_2\).\)

Substituting the values, we have: \(\(V_{\text{total}} = 5 \times 5 \times 12 + 6^3 = 985\)\) cubic in.

Therefore, the container will hold \(985\) cubic inches of water when completely full.

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Pieces of data such as $18,000 and $350,000 represent outliers in this chart in standard deviation .

How to interpret a standard deviation?

In this chart, there are outliers. The main outliers are $18,000 and $350,000. This is because we know the mean or average is $63,423, and therefore values that are too different from this average are considered outliers.

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Answer:

Step-by-step explanation:

The table that shows a positive correlation is the first one:

y | 5 1 2 3

H | 1 2 2 4

In this table, we can see that as the values of y increase, the values of H also increase. Therefore, there is a positive correlation between y and H.

In the second table, we can also see a positive trend in the values of y and X. However, the trend is not consistent, as there is a jump from y = 18 to y = 31, and from y = 31 to y = 37. This suggests that there may be other factors influencing the relationship between y and X.

In the third table, we can see a negative correlation between y and LO, as the values of y decrease from 24 to 6, the values of LO also decrease.

Therefore, the first table shows a clear and consistent positive correlation between y and H.

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Answer:

the answer is graph B

Step-by-step explanation:

person up top is wrong.