a relative frequency distribution shows: multiple choice question. the number of observations in each class interval the number of observations of a particular value in a set of data the fraction or percentage of observations in each class interval

In the given question, if y, p and q vary jointly and p is 14 when y and q are equal to 2 and  p and y are equal to 7, we get q is equal to 14 using the  joint variation formula.

To solve this problem, we need to use the formula for joint variation, which states that y, p, and q vary jointly if there exists a constant k such that ypk = kq.

In this case, we know that when y=2 and q=2, p=14. So we can set up the equation: 2*14*k = 2kq

Simplifying this, we get: 28k = 2kq
Dividing both sides by 2k, we get: 14 = q
So when p=7 and y=7, we can use the same equation: 7*14*k = 7kq

Simplifying this, we get: 98k = 7kq
Dividing both sides by 7k, we get: q = 14

Therefore, when p and y are equal to 7, q is equal to 14.

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Multiply the time spent on the bus the the total length of the bus trip:

57 x 2/3 = 114/3 = 38 minutes

Now add the amount of time they walk:

38 + 10 + 10 = 58 minutes total.

Answer: C. 58 minutes

The correct answer is option 2: 0.089.  the margin of error for the survey results described. In a survey of 125 adults, 30% said that they had tried acupuncture at some point in their lives.

To find the margin of error for the survey results, we can use the formula:

Margin of Error = Critical Value * Standard Error

The critical value is determined based on the desired confidence level, and the standard error is a measure of the variability in the sample data.

Assuming a 95% confidence level (which corresponds to a critical value of approximately 1.96 for a large sample), we can calculate the margin of error:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the proportion of adults who said they had tried acupuncture (30% or 0.30 in decimal form), and n is the sample size (125).

Standard Error = sqrt((0.30 * (1 - 0.30)) / 125)

Standard Error = sqrt(0.21 / 125)

Standard Error ≈ 0.045

Margin of Error = 1.96 * 0.045 ≈ 0.0882

Rounding the margin of error to three decimal places, we get 0.088.

Therefore, the correct answer is option 2. 0.089.

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CM is the perpendicular bisector of AB at M, it means that CM is perpendicular to AB, and AM=BM. Therefore, we have two right triangles, triangle AMC and triangle BMC, with a shared side CM, and AM=BM.

By the Pythagorean theorem, we know that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Applying this to triangles AMC and BMC, we have:

AC² = AM² + CM²

BC² = BM² + CM²

Since AM=BM, we can substitute AM for BM in the second equation, giving:

BC² = AM² + CM²

Since the left-hand sides of these two equations are equal (by the given that CM is the perpendicular bisector of AB), we can set their right-hand sides equal to each other and simplify:

AC² = BC²

Taking the square root of both sides gives us:

AC = BC

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Answer: .209

Step-by-step explanation:

took the test

Answer:

15 strips of border will be needed

Step-by-step explanation:

First, convert each dimension for a mixed number into an improper fraction, We can now divide the length of the border into the length of the kitchen wall to find the number of strips needed, We can now use this rule for dividing fractions to evaluate the expression, and you get your answer.

Answer:

Therefore, 15 strips of border will be needed.

Step-by-step explanation:

Given:

a.) The width of the rectangle is 0.7 meters less than the length.

b.) The perimeter of a rectangle is 44.6 meters.

First, let's draw the rectangle to better understand the problem.

Recall: The formula in getting the perimeter of the rectangle.

But it stated that the width of the rectangle is 0.7 meters less than the length.

Thus,

Width = Length - 0.7

Let's now find its Length,

Therefore, the length of the rectangle is 11.5 meters.

Let's now determine the width,

Width = Length - 0.7

= 11.5 - 0.7

Width = 10.8 meters

Therefore, the width of the rectangle is 10.8 meters.

The standard deviation of the sample proportion in this situation is approximately 0.0414.

To find the standard deviation of the sample proportion, we need to use the formula:

Standard deviation of sample proportion (σp) = √[(p × (1 - p)) / n]

Where:

p = population proportion (percentage of customers with state minimums for insurance) = 78% = 0.78

n = sample size = 100

Substituting the values into the formula, we have:

σp = √[(0.78 × (1 - 0.78)) / 100]

Calculating the expression within the square root:

σp = √[(0.78 × 0.22) / 100]

= √[0.1716 / 100]

= √0.001716

≈ 0.0414

Therefore, the standard deviation of the sample proportion in this situation is approximately 0.0414.

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The angle BAD of the rhombus lettered ABCD have the measure of 100°.

If the diagonals bisect each other at the point p, then ∠APB = 90° and;

∠BAP = 180° - (90 + 40)° {sum of interior angles of a triangle}

∠BAP = 180° - 130°

∠BAP = 50°

∠BAP is half of ∠BAD since the diagonals bisect its opposite interior agles, so;

∠BAD = 2 × 50°

∠BAD = 100°.

Therefore, the angle of the rhombus ∠BAD has a measure of 100°.

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For the first question, we need to use the formula for average velocity, which is: average velocity = (change in distance)/(change in time)In this case, the distance is given by the function h(t), and the interval we are interested in is from t = 2 seconds to t = 5 seconds. So we need to calculate:

average velocity = (h(5) - h(2))/(5 - 2)

To find h(5) and h(2), we need to use the function that represents the height of the object. Let's call this function h(t). We don't have the actual function, but we know that it represents the height of the object (in feet) for time t seconds. So we can use any function that satisfies this condition. Let's use:

h(t) = 10t - 5t^2

Now we can find h(5) and h(2):

h(5) = 10(5) - 5(5^2) = -65

h(2) = 10(2) - 5(2^2) = 10

Substituting these values into the formula for average velocity, we get:

average velocity = (-65 - 10)/(5 - 2) = -25 ft/sec

So the average velocity over the interval (2,5) is -25 ft/sec (rounded to four decimal places).

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Answer:

21% or C

Step-by-step explanation:

If 60 students either didn't pass, got Cs or Bs, then 16 out of the 76 got As which is 21 percent.

Answer:

4, they are not related

Step-by-step explanation:

x - y = 2 and y = x + 1

x - y = 2

subtract x

-y = 2 - x

divide by the negative

y = -2 + x or y = x - 2

they are not related

Answer:

The Answer Is A) they are parallel

Step-by-step explanation: i took the test and it was right i hope i helped!

Answer:

p=12.3

Step-by-step explanation:

-1.5-9p= -6p+35.4

36.9=3p

p=12.3

Multiplication is the process of multiplying. The length of the 10 fence panels is 18 meters.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given the length of three fence panels is 5.4 meters.

The lenght of each length panel = 5.4m/3 = 1.8 meter

The length of 10 fence panel = 1.8 meter×10 = 18 meter

Hence, the length of the 10 fence panels is 18 meters.

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Answer:

Step-by-step explanation:

6:1 i think

Answer:

27mph

Step-by-step explanation:

Let's assume the speed of the first car is x mph. Since the second car is traveling 6 mph slower, its speed would be (x - 6) mph.

To find out how far each car has traveled, we can use the formula: distance = speed × time.

For the first car:

Distance traveled by the first car = speed of the first car × time

d₁ = x mph × (4 hours + 20 minutes)

Since we need to work with a single unit of time, let's convert 20 minutes to hours:

20 minutes = 20/60 = 1/3 hours

Substituting the values:

d₁ = x mph × (4 + 1/3) hours

d₁ = x mph × (13/3) hours

d₁ = (13x/3) miles

For the second car:

Distance traveled by the second car = speed of the second car × time

d₂ = (x - 6) mph × (4 hours + 20 minutes)

d₂ = (x - 6) mph × (13/3) hours

d₂ = (13/3)(x - 6) miles

Since they are traveling in opposite directions, the sum of their distances is equal to the total distance between them:

d₁ + d₂ = 260 miles

Substituting the expressions for d₁ and d₂:

(13x/3) + (13/3)(x - 6) = 260

To simplify the equation, let's multiply both sides by 3 to get rid of the denominators:

13x + 13(x - 6) = 780

13x + 13x - 78 = 780

26x - 78 = 780

26x = 780 + 78

26x = 858

x = 858/26

x ≈ 33

The speed of the first car is approximately 33 mph. Substituting this value back into the equation for the speed of the second car:

Speed of the second car = x - 6 ≈ 33 - 6 ≈ 27 mph

Therefore, the first car is traveling at approximately 33 mph, and the second car is traveling at approximately 27 mph.

Answer: you probly need to find the root of the number 8

Step-by-step explanation:

Answer:

2 is the answear

Step-by-step explanation:

Answer:

1. No

2. Yes

3. No

4. Yes

Step-by-step explanation:

x is equal to the number of miles, so it can't be the amount in dollars.

25 is the fixed amount because it does not change in the equation.

0.35 is not the fixed amount because it changes based on x.

f(x) is the total amount because that's what the equation is equal to.

If 2 coins are tossed, the sample space S is {hh , tt , ht, th}.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of potential experiment results. Depending on the experiment, a sample area could contain a variety of results.

Let h represents the head and t represents the tail.

Given, two coins are tossed.

The possibilities are;

if two coins are tossed,

hh , tt , ht, th.

So, the sample space S is {hh , tt , ht, th}.

Therefore, sample space S= {hh , tt , ht, th}.

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The first thing we have to do is locate the points where the swings and the fountain are located on the graph.

To calculate the distance between the 2 points we use the following equation:

We replace the values of the points F and S:

The dependent variable in an experiment is the factor whose value is being measured or observed.

In an experiment, the dependent variable is the factor that is being observed or measured. It is the variable that responds to changes in the independent variable, which is the factor being manipulated or changed in the experiment. The dependent variable is often represented on the y-axis of a graph and is used to analyze and interpret the results of the experiment. For example, in an experiment testing the effect of fertilizer on plant growth, the dependent variable would be the plant growth, as it is being measured in response to the fertilizer treatment. The dependent variable is crucial in experimental design as it helps researchers determine the relationship between the independent variable and the observed outcome.

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Answer:

A and C

Step-by-step explanation:

Step-by-step explanation:

we must want to find C