824.377 the 7 in the thousandth place is the value of the 7 in the hundredth place.

The rectangular form of the complex number z = 2.5(cos(3.6) + isin(3.6)) is given as follows:

B. z = -2.25 - 1.1i.

A complex number is a number that is composed by a real part and an imaginary part, as follows:

z = a + bi.

In which:

The number for this problem is given as follows:

z = 2.5(cos(3.6) + isin(3.6))

Hence the real and the imaginary part are given as follows:

Hence the rectangular form of the number is:

B. z = -2.25 - 1.1i.

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From the four options the positively skewed distribution is fourth one.

Hence the correct option is given by (D).

Positively skewed distribution is a distribution with its tail is more pronounced on the right side than it is on the left. Since the distribution is positively skewed, then the value is positive.

The median, mode and other statistical observation data are on left side of the arithmetic mean.

The graph for positively skewed distribution is given by,

Clearly from the given four graphs, fourth graph that is option (D) is looking like positively skewed distribution.

Hence the correct option will be (D).

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Answer:

average rate of change = (16 - 1)/(4 - 1)

= 15/3 = 5

The image of the given point P = (-4, 6) as required to be determined in the task content is; (-6, -4).

It follows from the task content that the image point of P = (-4, 6) after a 90° counterclockwise rotation is to be determined.

Recall, for a point (x, y) , the image point after a 90° counterclockwise rotation is; (-y, x).

Ultimately, since the point P is; P = (-4, 6).

The image point is; (-6, -4).

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The distance from the floor when t = 6.5 seconds is about 13.7 cm.

We are given that;

H(t)=A cos (Bt) +D

Now,

b. To write an equation of the form H(t) = A cos (Bt) + D for the graph, we need to find the values of A, B, and D.

A is the amplitude of the cosine function, which is half the difference between the maximum and minimum values of H(t). In this case, the maximum value is 36 and the minimum value is 12, so:

A = (36 - 12) / 2 A = 12

D is the vertical shift of the cosine function, which is the average of the maximum and minimum values of H(t). In this case:

D = (36 + 12) / 2 D = 24

B is related to the period of the cosine function, which is the time it takes for one complete cycle. In this case, the period is 8 seconds, because H(t) repeats its values every 8 seconds. The formula for B is:

B = 2π / period

So:

B = 2π / 8 B = π / 4

Therefore, the equation is:

H(t) = 12 cos (π/4 t) + 24

c. To find the distance from the floor when t = 6.5 seconds, we need to plug in t = 6.5 into the equation and evaluate H(t). Using a calculator, we get:

H(6.5) = 12 cos (π/4 × 6.5) + 24 H(6.5) ≈ 13.7

Therefore, by the equation answer will be 13.7 cm.

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The trigonometric ratios for angle a are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For this problem, the hypotenuse is of [tex]3\sqrt{13}[/tex], while the side lengths relative to angle A are given as follows:

Hence the trigonometric ratios are given as follows:

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Answer: All you have to do is add all of the numbers together, then divide them by how many there are. In this case, adding the numbers together equals 201; since there are 8 numbers, we divide 201 by 8. That gives us 25.125.

Hope this helps! :)

Answer:

The mean of the numbers 21, 22, 24, 20, 25, and 32 is 25.

To find the mean, we add all of the numbers together and then divide by the number of numbers. In this case, we have 6 numbers, so we add them together and then divide by 6.

```

(21 + 22 + 24 + 20 + 25 + 32) / 6 = 25

```

Therefore, the mean of the numbers 21, 22, 24, 20, 25, and 32 is 25.

Step-by-step explanation:

The graph of g(x) is on the image at the end, and the correct option for the transformation is B.

We define a horizontal dilation of scale factor k as:

g(x) = f(k*x)

if k > 1, we have a stretch.

if  0 < k < 1, we have a shink of scale factor 1/k

Here we have:

g(x) = f (5x) = 5x - 4

We can notice that k = 5, then we have a stretch, thus, the correct option is B.

The graph of function g(x) can be seen in the image at the end.,

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Answer:

completed I/8 of a panting in a week

Step-by-step explanation:

The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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Answer:

Step-by-step explanation:

You want functions for the velocity v(t) and height h(t) of a ball thrown upward at 38 m/s from a height of 1.8 m. The acceleration is -9.8 m/s².

This sort of problem is usually discussed in a physics course. The relation between acceleration, velocity, and position is ...

  velocity is the rate of change of position

  acceleration is the rate of change of velocity

Then the inverse relations are ...

  h(t) = ∫v(t)dt +h(0)

  v(t) = ∫a(t)dt +v(0)

When position is measured in one dimension (up = positive), these have the standard formulas:

  v(t) = g·t + v(0)

  h(t) = 1/2g·t² +v(0)·t +h(0)

Filling in the given values (g = -9.8, v(0) = 38, h(0) = 1.8), we have ...

  v(t) = -9.8t +38 . . . . . . . . . . . . meters per second

  h(t) = -4.9t² +38t +1.8 . . . . . . meters

The probability is given as 7 / 60 for the favorite sport of the person being bicycling

The frequency of bicycling in the table is goven as 7

We have tp add the total of all of the values in order to get the given probability

Hence we would have

2 + 11 + 6 +20 + 7 + 14

= 60

The probability is given as 7 / 60

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The total number of students in Ms. Morales's class is either 20 or 30, depending on the value of x.

Let the ratio of boys to girls in Ms. Morales's class be 3x:7x, where 3x represents the number of boys and 7x represents the number of girls.

The total number of students in the class is equal to the sum of the number of boys and the number of girls, which is 3x + 7x = 10x.

We don't know the value of x, but we do know that the class size is between 22 and 34 students.

Therefore, we can set up an inequality based on the total number of students:

22 ≤ 10x ≤ 34

Dividing all parts of the inequality by 10, we get:

2.2 ≤ x ≤ 3.4

Since x represents a whole number of students, the possible values for x are 3 (if there are 30 students in the class) or 2 (if there are 20 students in the class).

If x = 3, then the total number of students is:

10x = 10(3) = 30

If x = 2, then the total number of students is:

10x = 10(2) = 20

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The value of y on the diagram of the image is given as follows:

23 + 5y.

The value of y on the context of the given problem is obtained applying the proportions of the problem.

The bars represent an addition operation, with 23 added to 5 times y being equals to 38, hence the expression is given as follows:

23 + 5y = 38.

The value of y is then obtained isolating the variable y as follows:

5y = 15

y = 3.

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Answer:

To find out how much money per cheerleader still needs to be raised for the trip, we need to divide the remaining amount by the number of cheerleaders:

Total amount needed = $9,500

Amount raised so far = $8,340

Amount still needed = $9,500 - $8,340 = $1,160

Number of cheerleaders = 16

Amount per cheerleader still needed = $1,160 ÷ 16 = $72.50

Therefore, $72.50 per cheerleader still needs to be raised for the trip.

A hypothesis is a put forth explanation of a phenomenon (plural: hypotheses). Therefore, p-value given is 0.0062.

A hypothesis is a put forth explanation of a phenomenon (plural: hypotheses). A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.

H:p<=0.8

Ha: p>0.8

alpha=0.01 P{reject H:H is true}

critical value z>2.326

z=(0.9-0.8)/sqrt (0.8*0.2/100); sqrt of 0.0016=.04

z=(0.1/.04)=2.5

probability z> 2.5 is 0.0062

check with one sample proportion test on calculator, z=2.5

Reject H

p-value given is 0.0062

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The sum of the given two polynomials (x²-7x+14) + (x²+10x-4) is 2x² + 3x + 10

To find the sum of the polynomial expression, we need to add the like terms of the two polynomials.

The first polynomial is x²-7x+14 and the second polynomial is x²+10x-4. We can combine the terms with x² to get 2x².

Then, we can combine the x terms to get 3x.

Finally, we can combine the constant terms to get 10.

Therefore, the sum of the two polynomials is:

2x² + 3x + 10

In summary, we can find the sum of two polynomials by adding the like terms of the polynomials. We group the terms with the same degree of x, add them up and simplify the expression by combining the like terms.

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An equation of the line in slope-intercept form include the following: y = 4x + 3.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

At data point (0, 3) and a slope of 4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3 = 4(x - 0)  

y - 3 = 4x

y = 4x + 3

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76 meters is the perimeter of the rectangle given.

The length of the rectangle is 3 meters and the width is 35 meters.

To find the perimeter, we can use the formula:

Perimeter = 2(Length + Width)

Substituting the values we obtained:

Perimeter = 2(3 + 35) = 2(38) = 76 meters

Therefore, the perimeter of the rectangle is 76 meters.

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Complete question:

The rectangle has an area of 35x3 square meters. Find its perimeter.

The probability of events A or B occurring is 0.80 or 80%.

Probability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain.

Probability can be calculated by dividing the number of favourable outcomes by the total number of possible outcomes.

To find P(A or B), we need to use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

Substituting the given values, we get:

P(A or B) = 0.60 + 0.30 - 0.10

= 0.80

Therefore, the probability of events A or B occurring is 0.80 or 80%.

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The proof that Daniel and Edward receive money in the ratio of their ages is shown below.

A ratio expresses the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, while the orange-to-total fruit ratio is 8:14.

Given that Daniel and Edward receive money in the ratio of their ages. And the age of Daniel and Edward is 8 years and 12 years, respectively. Therefore, it can be written as,

Ratio of Ages

=Age of Daniel: Age of Edward

= 8 years : 12 years =

= 2 : 3

Ratio of the amount received by them

= Amount received by Daniel: Amount received by Edward

= $30 : $45

= 2 : 3

Since, Ratio of Ages = Ratio of the amount received by them.
Therefore, it can be concluded that Daniel and Edward receive money in the ratio of their ages.

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The complete question is:
Daniel is 8 years old and Edward is 12 years old. Their parents give them money in the ratio of their ages. If Daniella receives $30, then Show that Edward receives $45.

The two different statements are π times radius and π times diameter.

The circumference of a circle is the distance round the circle.

Mathematically, the formula for the circumference of a circle is given as;

C = 2πr, or

C = πD

where;

For this circle, the circumference is calculated as follows;

C = 2π x 6 in

C = 12π in

Thus, the distance round the circle and the circumference are the same.

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The inequality that represents p, the number of people the theater can seat is p ≤ 25

From the question, we have the following parameters that can be used in our computation:

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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The average rate of change between the points x=2 and x=6 is 1

From the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we have

f(2) = 6 and f(6) = 10

So, we have

Rate = Change in function values/change in x values

This gives

Rate = (10 - 6)/(6 - 2)

Evaluate

Rate = 1

Hence, the average rate of change between the points x=2 and x=6 is 1

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You would have an open circle. A way to remember it is that < and > is open and ≥ and ≤ mean closed circle. A way to also remember which way to go is remembering this cool strategy.

<ess than

>greater than

Less means left. Greater means right. So your graph would look like something along the lines of:

Answer:

π(5^2 - 2^2) = 21π square inches, or about 65.97 square inches

Answer:

it is 3/3 3/6 I hope this helped

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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The given information shows the number of bullseyes hit by five different teams in a variety of events.

To display & analyze these results, the organizer would want a clear and concise visualization that highlights the performance of each team in which bar graph or a horizontal bar chart would be the most appropriate display to use in this scenario.

On the chart, x-axis would represent the team names and the y-axis would represent the number of bullseyes hit, so, the display would allow for easy comparison of the performance of each team, as well as highlighting any significant differences in performance.

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