(HELP ME I CANT) Find the length of sides of ∆OTP if O is the centre of the circle ,PT is the length of
the tangent at the point of contact P and OP = (x + 2) , OT= (x − 6),PT= (x + 1)

In enumerative induction, the observed members of the target group are called the sample.

The sample is used to make inferences or draw conclusions about the entire target population or group. This type of reasoning involves collecting and analyzing data from a sample to make generalizations about a larger group or population. The goal is to identify patterns or relationships among the observed members of the sample and apply those patterns to the target population. The strength of the conclusion drawn from the sample depends on the size and representativeness of the sample, as well as the rigor of the data analysis.

In statistics, a sample is a subset of a larger population that is selected for research or data analysis purposes. The process of selecting a sample is called sampling. Sampling is used in statistics because it is often impractical or impossible to measure every individual in a population, so a representative sample is selected instead.

There are different types of sampling methods that can be used to select a sample, such as random sampling, stratified sampling, cluster sampling, and convenience sampling. Each method has its own advantages and disadvantages, and the choice of method depends on the research question and the characteristics of the population being studied.

To learn more about sample

https://brainly.com/question/31101410

#SPJ11

The correct answer is option A. The assumption that is made so that the pooled variance estimate can be substituted for the population variances within the standard error of the differences formula is that the population variances are homogeneous.

This implies that the variances of the two populations under comparison should be comparable.

For many statistical tests, including the t-test and ANOVA, homogeneity of variance is a crucial presumption. The pooled variance estimate is not a reliable substitute for population variances if the variances of the two populations are not equal.

Consequently, in order to apply the pooled variance estimate in the standard error of the differences formula, the homogeneity of variance assumption is required.

Complete Question:

What  assumption is made so that the pooled variance estimate can be substituted for the population variances within the standard error of the differences formula?

A. The population variances are homogeneous

B. The population variances are heterogeneous

C. The sample sizes are equal

D. The sample sizes are large

To learn more about variances visit:

https://brainly.com/question/28426562

#SPJ4

Answer:

option b the median would decrease

The equation that represents the relationship between temperature and time at the North Pole is T = -5t + 30, where T is the temperature in degrees Fahrenheit and t is the time in hours.

Since the temperature is expected to drop 5 degrees Fahrenheit per hour, we can use a linear equation in slope-intercept form, y = mx + b, where m is the slope (the rate of change) and b is the y-intercept (the initial temperature).

In this case, the slope is -5 (since the temperature drops 5 degrees Fahrenheit per hour) and the initial temperature (at t=0) is 30 degrees Fahrenheit.

Therefore, the equation that represents the relationship between temperature and time at the North Pole is T = -5t + 30. As time increases, the temperature will decrease by 5 degrees Fahrenheit per hour.

Learn more about temperature here

https://brainly.com/question/26866637

#SPJ11

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.

Learn more about statistic here

https://brainly.com/question/15525560

#SPJ11

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.

https://brainly.com/question/32386318

#SPJ11

Answer:

The formula for calculating the probability of two independent events is the product of the probabilities of each event occurring. In other words, if event A and event B are independent, then the probability of both events occurring is calculated as P(A and B) = P(A) * P(B).

x^2 + 9x = -20

Rearrange:

x^2 + 9x - (-20) = 0

x^2 + 9x + 20 = 0

the Equation has the form:

ax^2 + bx +c = 0

Where:

a=1

b= 9

c= 20

Find the sum of 2 numbers that equal b, and multiplied equal c.

4+5= 9 (b)

4x5 =20 (c)

Factor:

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

Equal each equation to zero and solve for x

x+4= 0

x= -4

x+5=0

x=-5

Solution:

x=-4 , x =-5

Answer: 53,130 possible combinations

Step-by-step explanation:

First, we want to find how much is the 20% of 25.

This is:

N = (20%/100%)*25 = 5.

So 5 students out of 25 are selected.

When we want to calculate the number of combinations of N elements it a group of K elements, we have:

\(C = \frac{N!}{(N - K)!*K!}\)

Here N = 25, and K = 5

\(C = \frac{25!}{20!*5!} = \frac{25*24*23*22*21}{5*4*3*2*1} = 53,130\)

so we have 53,130 combinations.

Answer:

I got 105°

Step-by-step explanation:

Triangle ABC is an isosceles triangle so base angles are equal. <A = 30° (given)

180 - 30 = 150°

150/2 = 75°

the little triangle is also isosceles. the original base angles have been bisected so the base angles are 37.5.

37.5 X 2 = 75°

180-75 = 105°

D = 105°

Answer:

a)cross-sectional correlation

Step-by-step explanation:

a test to see whether two variables, measured at the same point in time, are correlated is known as a cross-sectional correlation test

A longitudinal study is a research design that involves repeated observations of the same variables over long periods of time

and so on

Answer:

Multiply the bottom one by -4

Step-by-step explanation:

to cancel in a system of equations, there must be a negative and a positive of both variables. - times - equals +, so multiply -x by -4 to get 4x, thus cancelling -4x with 4x.

To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

To learn more about standard deviation: https://brainly.com/question/475676

#SPJ4

The volume of the box is 3,189,068 cubic centimeters. The length, width, and height of a large, custom-made shipping crate are 1.22 m, 3.22 m, and 0.83 m, respectively. What is the volume of the box (in cm)? The volume of a box is calculated by multiplying the length, width, and height of a box.

However, the dimensions are given in meters, not centimeters, so they must first be converted. The given dimensions are as follows: Length = 1.22 m, Width = 3.22 m, Height = 0.83 m.

To convert meters to centimeters, multiply each dimension by 100. As a result, the dimensions will be as follows:Length = 122 cmWidth = 322 cmHeight = 83 cm.

Now, using the formula, Volume = Length x Width x Height= 122 x 322 x 83= 3,189,068 cubic centimeters. Therefore, the volume of the box is 3,189,068 cubic centimeters.

To know more about volume of the box here

https://brainly.com/question/32714484

#SPJ11

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

( if given triangle is equilateral triangle)

Hope this will help you.

Answer:

1) \(16\frac{2}{3}\)% or 20%

Step-by-step explanation:

Given that:

An experiment which is carried out by flipping a coin and rolling six sided die.

The outcomes can be:

{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}

As per question statement:

Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)

Total number of outcomes here is 10.

Therefore, to find the percentage, we use the following formula:

\(\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100\)

\(\Rightarrow \dfrac{2}{10}\times 100 = 20\%\)

As per question statement, the answer is 20%.

If we consider all the outcomes, i.e.

{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

Total number of outcomes = 12

The percentage will come out be :

\(\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%\)

Answer:

25

Step-by-step explanation:

2x-8=x+17

2x-x=17+8

x=25

Answer:

500*2%=10

500+10=510

Step-by-step explanation:

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

To learn more about Binomial probability - brainly.com/question/12474772

#SPJ11

Answer:

4 weeks

Step-by-step explanation:

if she starts with $33, and she gets $5 per week, and she need $53, then you would add $5 starting at $33 until you reach the book price of $53. Or you could subtract $33 from $53 and then divide that answer by $5.

First time answering a question so i hope i helped :)

Answer: 46ft

Step-by-step explanation:

Alright so for this you must reference the pythagorean theorem which is:

a^2+b^2=c^2. c^2 is always the diagonal side and a^2 and b^2 the other two sides.

You can therefore set this up like this:

a^2+20^2=50^2 (where a is the side you are looking for- listed as x)

Solve:

a^2=50^2-20^2

a^2=2500-400

a^2=2100

sqrt(a^2)=sqrt(2100)

a= 45.8257569496

Round: a (or x)=46

Answer:pretty sure B and E

Step-by-step explanation:

Step-by-step explanation:

20 X _15 = 5X +90

15 X =105

X= 7

< A = 35

<B = 55

a) the function y=x^2 + c/x^2 is a solution of the differential equation xy' + 2y = 4x^2, (x > 0).

b) The value of c for which the solution satisfies the initial condition y(8) = 6 is c = -3712.

a) To verify that the function y = x^2 + c/x^2 is a solution of the differential equation xy' + 2y = 4x^2, we first need to find the derivative y' using algebra:
y = x^2 + c/x^2
y' = 2x - 2c/x^3

Now, plugging y and y' into the given differential equation:

x(2x - 2c/x^3) + 2(x^2 + c/x^2) = 4x^2

Next, simplify the equation:
2x^2 - 2cx^(-2) + 2x^2 + 2c/x^2 = 4x^2

Combine the like terms:
4x^2 = 4x^2

The equation holds true, so the function y = x^2 + c/x^2 is a solution of the differential equation xy' + 2y = 4x^2.

b) To find the value of c for which the solution satisfies the initial condition y(8) = 6, plug in x = 8 and y = 6 into the function y = x^2 + c/x^2:

6 = (8^2) + c/(8^2)

Solve for c:
6 - 64 = c/64
-58 = c/64
c = -58 * 64
So, the value of c is -3712.

Learn more about the Algebra of derivatives: https://brainly.com/question/28376218

#SPJ11

Answer:

a: 1/6

Step-by-step explanation:

Answer:

x= -1

y= 2

Step-by-step explanation:

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2

 y-intercept = 2/1  =  2

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x= -1

 x-intercept = 2/-2 = 1/-1  = -1

Answer:

BCE= 115    ECD=65

Step-by-step explanation:

(5x+10)+(3x+2)=180

8x+12=180

8x=168

x=21

5(21)+10=115

3(21)+2=65

Answer:

<BCE=115°

<ECD=65°

And their sum is 180°

Step-by-step explanation:

< BCE + <ECD =180° ( Being sum of supplementary angle which is formed in the given diagram is 180°)

(5x + 10)° + (3x + 2)°= 180°

5x + 10 + 3x + 2 = 180°

5x + 3x + 10 +2 = 180°

8x + 12= 180°

8x = 180°-12°

8x = 168

x= 168/8

x=21°

Now,

<BCE = 5x+10

= 5*21+10

=105+10

=115

<ECD

= 3x+2

= 3*21+2

=65