URGENT PLEASE HELP, respond to c, d, e, and f please !!

The radius of the circle = r = 4 cm.The length of the segment = a = 3.2 cm.The length of the chord = s = 4.7 cm.We need to find the probability that a randomly selected point within the circle falls in the red shaded area.The red shaded area is a segment of the circle.

Let O be the centre of the circle. Join OA and OB.Let the chord AB cut the circle at C. Join OC. Now, ΔOCA and ΔOCB are congruent (RHS congruence) becauseOA = OB (radii of the same circle)AC = BC (length of the chord)OC = OC (common side)Therefore, ∠OCA = ∠OCB = θ (say)Also, ∠OAC = ∠OBC (vertically opposite angles)Now, ∠OCA + ∠OAC = 90° (angle sum property of the triangle) ⇒ θ + ∠OAC = 90°and ∠OCB + ∠OBC = 90° (angle sum property of the triangle) ⇒ θ + ∠OBC = 90°Adding the above two equations, we get,2θ + ∠OAC + ∠OBC = 180°2θ + ∠AOB = 180° (angles in a straight line)θ = (180° - ∠AOB) / 2

Therefore, θ = (180° - ∠AOB) / 2= (180° - 60°) / 2= 60° / 2= 30°Using the formula for the area of the segment of the circle, we have,Area of the segment = (1/2)rsinθArea of the segment = (1/2)×4×7.56×(sin30°)Area of the segment = 6.28 cm2Now, the area of the circle is πr2 = π×42 = 16π cm2.So, the probability that a randomly selected point within the circle falls in the red shaded area is given by the ratio of the area of the segment to the area of the circle.P(red shaded area) = Area of the segment/Area of the circleP(red shaded area) = 6.28/(16π)P(red shaded area) = 0.125 or 12.5%Therefore, the required probability is 12.5%.Hence, the answer is 12.5%.

To know more about radius visit:

https://brainly.com/question/13449316

#SPJ11

Data about a population is collected, recorded, and counted in a census.  The numerical summary measures obtained from the analysis of this population data are referred to as parameters.

Censuses of agriculture, traditional culture, businesses, supplies, and even transportation are also prevalent, while the phrase is most often associated with national population and housing counts.

The UN defines the essential characteristics of population and housing censuses as "individual enumeration, universality within a defined territory, simultaneity, and defined periodicity," and suggests that population censuses be conducted at least once every ten years.

The United Nations has made recommendations for what information should be collected in a census, including official definitions, classifications, and other data that might help international organizations coordinate their efforts.

The complete question is attached as an image.

Want to know more about census visit the link which is given below;

https://brainly.com/question/28839458

#SPJ4

Basically in this question we will apply product rule of diffrentiation .

f(t) = 3t (t-6)

f'(t) = (3t)'.(t-6) +(t-6)'.(3t)

f'(t) = 3(1). (t-6) + (1).3t

f'(t) = 3t-18 +3t

Final Answer - f'(t) = 6t -18

Differentiating the given function. f(t) = 3 t (t − 6) gives f'(t) = 6t - 18 using the product rule of differentiation.

Given that, f(t) = 3t.(t-6)

To differentiate the given function we use product rule in order to simplify the differentiation.

Divide the function into two different products and then differentiate :

f(t) = 3t (t-6)

f'(t) = (3t)'.(t-6) +(t-6)'.(3t)

f'(t) = 3(1). (t-6) + (1).3t

f'(t) = 3t-18 +3t               (or)

expand the given f(t) =  3t.(t-6)

                                   = 3t^2 - 18 t

we have , f'(x) = n.x^(n-1)   if    f(x) = x^n

differentiating f(t) = f'(t) = 2(3t) - 18

                                     = 6t - 18

Learn more about the differentiation here :

https://brainly.com/question/24898810

#SPJ4

The values of x and y using the concept of similar figures are:

y = 166 and x = 3.33 units

Two triangles are said to be similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.  

We are told that Polygon ABCD is similar to Polygon EFGH and as such applying the similar figure definition above, we can say that:

∠B = ∠F

Thus:

∠B = 360 - (61 + 116 + 90)

∠B = 360 - 267

∠B = 93°

Thus:

y - 73 = 93

y = 166

Using the concept of similar figures, then:

6/4 = 5/x

x = 20/6

x = 3.33 units

Read more about similar quadrilaterals at: https://brainly.com/question/16261621

#SPJ1

The trigonometric ratio for the tangent of an angle indicates that the tangent of the angle ∠B expressed as an improper fraction is expressed in the form;

tan(∠B) = \(2\frac{2}{39}\)

The tangent of an angle in a triangle is the ratio of the facing side to the adjacent side of the triangle.

The type of triangle in the figure with an interior angle of 90 degrees is a right triangle, therefore, according to the Pythagorean Theorem, we get;

(AC)² + (AB)² = (BC)²

Therefore, we get;

(AC)² + 39² = 89²

(AC)² = 89² - 39² = 6400

AC = √(6400) = 80

The tangent of an angle is the ratio of the opposite side to the adjacent side, therefore;

tan(m∠B) = AC/AB

tan(m∠B) = 80/39 = \(2\frac{2}{39}\)

Learn more on the tangent of an angle here: https://brainly.com/question/13952108

#SPJ1

Answer:

30 I think

Step-by-step explanation:

Area of a triangle is (base×height) ÷2

So that means that to solve this you'd need to do 20 (the base) ×3 (the height). This gives you 60; then you divide it by 2. This gives you 30.

Answer: srry i think it is y = mx + b, where m is the slope and b is the y-intercept. Slope-intercept is the form used most often as the simplified equation of a line.

Step-by-step explanation: where m is the slope and b is the y-intercept. Slope-intercept is the form used most often as the simplified equation of a line.

The value of the double integral is \($-\frac{\pi}{12}$\).

We are given that;

∫∫D^y^dA where d is the set of points (x, y)

0 ≤ 2x/ π ≤ y, y ≤ sin x

Now,

We can see that x varies from 0 to \(\pi\), and for each fixed x, y varies from \(\frac{2x}{\pi} to \sin x\). Therefore, we can write the double integral as:

\($$\iint_D y \, dA = \int_0^\pi \int_{\frac{2x}{\pi}}^{\sin x} y \, dy \, dx$$\)

Now we can evaluate the inner integral with respect to y:

\($$\int_{\frac{2x}{\pi}}^{\sin x} y \, dy = \frac{y^2}{2} \bigg|_{\frac{2x}{\pi}}^{\sin x} = \frac{\sin^2 x}{2} - \frac{2x^2}{\pi^2}$$\)

Plugging this result into the outer integral, we get:

\($$\iint_D y \, dA = \int_0^\pi \left( \frac{\sin^2 x}{2} - \frac{2x^2}{\pi^2} \right) dx = \frac{1}{4} \int_0^\pi (1 - \cos 2x) dx - \frac{2}{\pi^2} \int_0^\pi x^2 dx$$\)

Using the antiderivatives of \(\cos 2x\) and x^2, we get:

\($$\iint_D y \, dA = \frac{1}{4} (x - \frac{1}{2} \sin 2x) \bigg|_0^\pi - \frac{2}{\pi^2} (\frac{x^3}{3}) \bigg|_0^\pi =\frac{\pi}{4} - 0 - 0 + 0 - \frac{2}{\pi^2} (\frac{\pi^3}{3}) + 0 =\frac{\pi}{4} - \frac{2\pi}{3} =-\frac{\pi}{12}$$\)

Therefore, by integral the answer will be \($-\frac{\pi}{12}$\).

Learn more about integral here:

https://brainly.com/question/17206296

#SPJ12

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

To know more about derivative click here

brainly.com/question/29096174

#SPJ11

Answer:

The solution is 13

Step-by-step explanation:

f(x) = 5x-2

f(3) = ......?

x = 3

f(3) = 5(3)-2

f(3) = 15-2

f(3) = 13

a) To show that fy is linear, we need to show that it satisfies the two properties of linearity.

b) The matrix representation of fv with respect to the standard basis of RM is [v1 v2 ... vn].

(a) To show that fy is linear, we need to show that it satisfies the two properties of linearity which is

(i) fy(u + v) = fy(u) + fy(v) for any vectors u, v in RM, and

(ii) fy(cu) = c fy(u) for any scalar c and any vector u in RM.

For (i), we have:

fy(u + v) = v.(u + v) = v.u + v.v (distributivity of dot product over vector addition)

fy(u) + fy(v) = v.u + v.v (applying fy to u and v separately and adding the results)

Therefore, fy(u + v) = fy(u) + fy(v), and fy is additive.

For (ii), we have:

fy(cu) = v.(cu) = c(v.u) (linearity of dot product with respect to scalar multiplication)

c fy(u) = c(v.u) (applying fy to u and then multiplying by c)

Therefore, fy(cu) = c fy(u), and fy is homogeneous.

Since fy satisfies both properties of linearity, it is a linear transformation.

(b) To find the 1 x n matrix representation of fv, we need to find the image of the standard basis vectors of RM under fy. Let e1, e2, ..., en be the standard basis vectors of RM (i.e., the vectors with a 1 in the i-th position and 0's elsewhere). Then:

fy(ei) = v.ei (definition of fy)

= vi (since v = (v1, v2, ..., vn))

Therefore, the matrix representation of fv with respect to the standard basis of RM is [v1 v2 ... vn].

Note that this is a 1 x n matrix, since fy is a function from RM to R, so its matrix representation has one row and n columns.

Correct Question :

Let v = : ER" be a vector. This may be used to define a function fy: RM +R Un given by fv(x) =v.X

(a) Show that fy is linear by checking that it interacts well with vector addition and scalar multipli- cation. (This is an application of Theorem 14.2.1.)

(b) Find the 1 x n matrix representation of fv (the matrix entries will be in terms of the vi’s).

To learn more about matrix representation here:

https://brainly.com/question/31265589

#SPJ4

Answer:

=2g+9

Step-by-step explanation:

5g+14−3g−5

=5g+14+−3g+−5  

=5g+14+−3g+−5

=(5g+−3g)+(14+−5)

=2g+9

Answer:

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

Step-by-step explanation:

We are given the quadratic equation x²-x=20

And we want to factor it, meaning that we want to split it apart, usually to make it easier to solve.

First, let's subtract 20 from both sides, as when all 3 terms of a quadratic equation are on the same side, it makes it a lot easier to solve.

x² - x = 20

    -20  -20

_______________

x² - x - 20 = 0

Now, we can get on to factoring.

In a quadratic equation, written as ax² + bx + c = 0 (like in here), b (the coefficient in front of just x, not x²) is equal to the sum of two numbers, while c is the product of the same two numbers.

The coefficient in front of x (b) is -1, and c is equal to -20.

Now think: which two numbers add up to -1, and multiply to equal -20?

Those numbers are -5 and 4.

Now, to factor a quadratic, we split it up into 2 binomials multiplied by each other, and each binomial is x + one of the numbers we found above. It looks like this: (x+1)(x+2). Remember that this only affects the left side; the right side stays the same.

In this case, we have -5 and 4, which will take the place of 1 and 2 in the example above.

Therefore, the factored form of x² - x - 20 = 0 is (x-5)(x+4) = 0.

Answer:

you will need to save 80 each month to get the tires

As per the standard deviation the proportion of observations is in the interval between each pair of values is 190 and 310

The term in math known as standard deviation is defined as a measure of how dispersed the data is in relation to the mean.

Here we have know that the mean of a population is 250 and its standard deviation is 20.

Then the proportion of observations is in the interval between each pair of values is calculated as,

We have interval (190,310) and we can express this interval as:

=> (190,310) = (250−3⋅20, 250+3⋅20)

According to this interval , we have that k=3.

Based on the value of the constant the required percent of observations in interval(190,310) is at least 88.9%

To know more about standard deviation here.

https://brainly.com/question/16555520

#SPJ4

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

To determine the appropriate significance level for performing a significance test based on the confidence level used to construct the confidence interval,

we need to consider the relationship between confidence level and significance level.

The confidence level represents the probability that the confidence interval will contain the true population parameter. In this case, the confidence level was not provided, so we cannot directly determine the significance level based on the given information.

Typically, a 95% confidence level is commonly used, which corresponds to an alpha (significance level) of 0.05. This means that there is a 5% chance of rejecting the null hypothesis when it is true.

However, it is important to note that the specific significance level to be used in a significance test should be determined in advance based on the requirements of the study, the consequences of Type I and Type II errors, and any relevant guidelines or standards in the field of study. The coach or researcher conducting the study should define the significance level based on these considerations.

Learn more about Probability here -: brainly.com/question/13604758

#SPJ11

Answer:

x=-7

Step-by-step explanation:

BRAINLIEST PLS

The compound interval for the given interval is (-∞, ∞).

A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".

The given intervals are (-∞, -2] or [-3, ∞).

Now, the compound interval is (-∞, ∞)

Thus, the interval notation is -∞<x<∞

Therefore, the compound interval for the given interval is (-∞, ∞).

Learn more about the compound inequality here:

https://brainly.com/question/29004091.

#SPJ1

In the posttest control group design shown above, selection bias is eliminated by randomization.

Randomization is the best way to eliminate the effects of selection bias. The posttest control group design is an experimental design that entails the random selection of study participants into two groups: a control group that is not subjected to the intervention and a treatment group that receives the intervention. Following that, measurements are taken from the two groups. One of the benefits of the posttest control group design is that it eliminates the possibility of selection bias and assures the internal validity of the study.The aim of randomization is to ensure that study participants are chosen entirely at random and that the researcher does not have any impact on the selection process. As a result, this technique is used to guarantee that the two groups are equivalent at the beginning of the study in terms of variables that could affect the outcome. This technique eliminates the effect of selection bias on the study results.Therefore, in the posttest control group design shown above, selection bias is eliminated by randomization.

Learn more about  randomization here:

https://brainly.com/question/30789758

#SPJ11

Answer:

77.8

Step-by-step explanation:

76.0+1.8=77.8

Answer:

=3.8x108+1.6x107

Step-by-step explanation:

Answer:  5.816 × 10²

581.6 in scientific notation is 5.816 × 10²

The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.

The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.

Here's the explanation:

From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.

The distribution is not symmetric, as the data points are not evenly spread around a central value.

The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.

Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.

However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.

The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.

It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.

For similar question on data.

https://brainly.com/question/31089407  

#SPJ8

Conditional: "If ants are insects."

Converse: "If insects are ants."

Inverse: "If ants are not insects."

Contrapositive: "If insects are not ants."

Let's break down each of these:

Conditional: This is the original statement, "If ants are insects."

Converse: The converse switches the order of the conditional statement. It becomes, "If insects are ants." However, this statement is not necessarily true because not all insects are ants.

Inverse: The inverse negates both the subject and the predicate of the conditional statement. It becomes, "If ants are not insects." This statement is also not necessarily true because ants are indeed a type of insect.

Contrapositive: The contrapositive switches the order and negates both the subject and the predicate of the conditional statement. It becomes, "If insects are not ants." This statement is generally true because not all insects are ants.

Learn more about contrapositive here:

https://brainly.com/question/12151500

#SPJ11

The share of sons and daughter of Mr Latif is 280,000 each and 140,000 repectively.

Given,

Total value of Property :- Rs. 750,000

Amount of debt to be paid :- RS. 50,000

No. of children :- 3

Each son received twice the amount received by the daughter.

Now as there was a debt of RS. 50,000 so the amount left from the property

= 750,000 - 50,000

= Rs. 700,000

Now as there are 3 children

Let the share of daughter be x , then each of the sons received 2x .

→ x + 2x + 2x = 700,000

→ 5x = 700,000

→ x = 700,000 ÷ 5

→ x = 140,000

So Share of

Daughter = 140,000

Son = 280,000 each

Hence we get the required share of each.

Learn more about Division here:

brainly.com/question/24662212

#SPJ9

Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x.

x-intercept(s): (2.30581496,0)

y-intercept(s): None