Name the coordinates of P if P(0, 4) is rotated 180°

(1) The explanation is given below.

(2) The value of the test statistic is 2.5.

(3) The rejection criterion based on the critical value approach 1.664$$.

(4) The explanation is given below.

1. Null Hypothesis:H0: µ = 150Alternative Hypothesis:H1: µ > 1502. Test statistic value:We know that, the sample size is greater than 30, which means the sample mean is approximately normally distributed. Now, we need to calculate the test statistic value. The formula for calculating the test statistic value is given by,$$t = \frac{{\left( {{\bar x} - \mu } \right)}}{{\left( {\frac{s}{{\sqrt n }}} \right)}}$$Substituting the given values, we get,$$t = \frac{{\left( {165 - 150} \right)}}{{\left( {\frac{{54}}{{\sqrt {81} }}} \right)}}$$Simplifying the above expression, we get,$$t = \frac{{15}}{{\frac{{54}}{{9}}}}$$$$t =

2.5$$Therefore, the value of the test statistic is 2.5.

3. Rejection criterion based on the critical value approach: The rejection criterion based on the critical value approach is given by$$t > t_{\alpha ,\,df}$$where$α = 0.05$and$df = n - 1 = 81 - 1 = 80$. Now, we need to find the critical value corresponding to 80 degrees of freedom at a 5% level of significance. Using the t-distribution table with 80 degrees of freedom, we get$$t_{0.05, 80} = 1.664$$Therefore, the rejection criterion is$$t > t_{\alpha, df}$$$$\Rightarrow t > 1.664$$

4. Statistical decision: As the calculated value of the test statistic (t = 2.5) is greater than the critical value (t = 1.664), we reject the null hypothesis i.e., we can conclude that the average internet usage in Philadelphia city is significantly greater than the U.S. average. Hence, we can say that the Statistical decision is to reject the null hypothesis.

To know more about Statistical visit:

https://brainly.com/question/15525560

#SPJ11

We reject the null hypothesis. Thus, the average usage in Philadelphia city is significantly greater than the U.S. average.

1. The null and alternative hypotheses are given below:

Null hypothesis, H0: µ ≤ 150 (Average daily internet use in Philadelphia city is less than or equal to 150 minutes).

Alternative hypothesis, H1: µ > 150 (Average daily internet use in Philadelphia city is greater than 150 minutes)

2. The value of the test statistic is calculated below: t=(x¯−μ)/(s/√n)

Here, x¯ = 165

µ = 150

s = 54

n = 81t

= (165 - 150)/(54/√81)

= 2.50.

Thus, the value of the test statistic is 2.50.

3. The rejection criterion based on the critical value approach is obtained below:

The critical value for α = 0.05 with 80 degrees of freedom is 1.664.

The rejection criterion is t > 1.664.

4. The statistical decision is made by comparing the calculated t-value with the critical value.

If the calculated t-value is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

Here, the calculated t-value is 2.50, which is greater than the critical value of 1.664.

Therefore, we reject the null hypothesis. Thus, the average usage in Philadelphia city is significantly greater than the U.S. average.

To know more about null hypothesis , visit ;

https://brainly.com/question/4436370

#SPJ11

Answer:

not sure search it up

Step-by-step explanation:

Answer:

33ft²

Step-by-step explanation:

b= base (3)

l= slant height (4)

Surface area = b²+2bl

=3²+2(3)(4)

=9+2(12)

=33

Answer:

b

Step-by-step explanation:

i need points

In 1945, the concern which the Allies had about invading the Japanese mainland with ground forces was:

This refers to a military tactic where the armed forces of a country or a place go into enemy territory with the aim of defeating the troops and claiming the territory.

With this in mind and from the events in history, we can see that after the bombing of Pearl Harbor by the Japanese Navy, there were concern by the Allies of invading the Japanese mainland with ground forces because they feared the great loss of life.

Read more about Pearl Harbor here:

https://brainly.com/question/860420

Answer:

0.625

Step-by-step explanation:

25 divided by 40= 0.625 percent

Answer:

B) 6 miles

Step-by-step explanation:

(24 - 6)/3 = 6 miles

To calculate the expected frequency of the sequence "AT" assuming a random order, we can multiply the individual frequencies of "A" and "T" in the genome. In this case, since the frequency of cytosine (A) is 0.2 and the frequency of guanine (T) is also 0.2, we multiply these values:

Expected frequency of "AT" = Frequency of "A" * Frequency of "T" = 0.2 * 0.2 = 0.04

Therefore, we would expect to find the sequence "AT" at a frequency of 0.04 in a genome with a random order.

To determine whether the observed N occurrences of "AT" are significantly underrepresented relative to expectation, we can employ statistical tests.

One commonly used test is the chi-square test. By comparing the observed frequencies with the expected frequencies based on a random distribution, we can assess whether the deviation is statistically significant.

The chi-square test measures the difference between observed and expected frequencies, taking into account the sample size (genome length, L) and degrees of freedom.

If the calculated chi-square value exceeds a critical threshold, it suggests that the observed frequency of "AT" is significantly different from the expected frequency under random distribution.

For more questions on genome, click on:

https://brainly.com/question/27492720

#SPJ8

Answer: D

Step-by-step explanation: =8x+14+9x+−5

=(8x+9x)+(14+−5)

=17x+9

Answer:

[9.99744 (10m)] for q#1 and [18688.006kg (18,688kg] for q#2

Step-by-step explanation:

Answer:

First blank is 10m

Second blank is 18688kg

Step-by-step explanation:

Use the conversion calculator

Answer:

114

Step-by-step explanation:

You would add 46 degree and 20 degrees (66) and subtract (180 - 66 = ?) to get your answer.

Answer:

114

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

By Performing the following test of hypothesis, H0 is rejected.

To perform the test of hypothesis, we compare the sample mean (x) to the hypothesized population mean (μ) and consider the sample size (n) and sample standard deviation (s).

Given:

H0: μ = 285 (null hypothesis)

H1: μ < 285 (alternative hypothesis)

n = 55 (sample size)

x = 266.89 (sample mean)

s = ?

To determine whether to reject or fail to reject the null hypothesis, we calculate the test statistic and compare it to the critical value or p-value.

Since the standard deviation (s) is not given, we cannot directly calculate the test statistic. Without the value of s, we cannot proceed with the hypothesis test. Please provide the value of s to continue with the calculation and draw a conclusion.

The test of hypothesis cannot be performed without the value of the sample standard deviation (s). Please provide the necessary information to proceed with the calculation and draw a conclusion.

To know more about test of hypothesis, visit

https://brainly.com/question/15980493

#SPJ11

Answer:

Step-by-step explanation:

O;B

Answer:

[tex]-22\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]a=\frac{1}{3} , b = -10, c = -3[/tex]

change  [tex]b^{2} - 9a^{2} + c[/tex]   to  

[tex]-10 -9\frac{1}{3} + (-3)[/tex]

=

[tex]-22\frac{1}{3}[/tex]

Answer:

16

Step-by-step explanation:

3x + 4 = x + 12  [The straight line on the segments AB and BC indicate that they are the same length]

2x = 8  [Subtract x and 8 from both sides]

x = 4  [Divide both sides by two]

Length AB is equal to (3x + 4) as indicated by the diagram. Substituting x = 4, (3 * 4) + 4 = 16

Answer:

$1.50

25% of 6 is 1.5

Answer: $1.50

Step-by-step explanation:

0.25x5.99= 1.4975 which would round to 1.5

Answer:

Step-by-step explanation:

g(x)=[x-4]                     h(x)= [x] -5

                                     h= -5

g=[x-4]

x     x

g=4                      

Answer:

25%

Since it's 2 in a row, it is divided by 4

technically it depends on the way you flip the coin, its mostly a 50-50

a more answer-y answer to this would be around (heads) 65-35 (tails) in my opinion.

Answer:

3/8

Step-by-step explanation:

125+75= 200

75:200= 3/8

3/8 is  the ratio of the number of geese to the total number of birds in the simplest form.

An equation of the cone z = √3x² + 3y² in spherical coordinates is: None of these. A cone is formed by rotating a straight line around an axis when one end of the straight line remains fixed.

For example, if the equation of a cone is known, we may use calculus to calculate the cone's volume and surface area. Cone: A cone is a three-dimensional geometric shape that has one circular base at one end and a single point at the other end. A cone's height is the distance from the tip to the base surface's center. The angle formed between the slant height and the base radius is called the cone's half-angle. The vertical plane that passes through the cone's apex and base centerline is called the cone's axis.

Spherical coordinates: In three-dimensional space, spherical coordinates are a coordinate system. Three parameters, the radial distance r, the polar angle θ, and the azimuthal angle φ, are used to specify the position of a point using spherical coordinates. In this case, the radial distance, which is the distance from the origin, is r, and the polar angle and azimuthal angles are represented by θ and φ, respectively. Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x² + y² ≤ 4.

The cylindrical coordinate system is a three-dimensional coordinate system that uses cylindrical polar coordinates to specify a point in space. Cylindrical coordinates are a generalization of two-dimensional polar coordinates, which are used to define a point in the plane. The integral that allows us to calculate the volume of the region is given by: ar dzdrde. Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. The integral that allows us to calculate the volume of the region is given by: p²sinodpdode.

More on spherical coordinates: https://brainly.com/question/31745830

#SPJ11

Answer: 12.5%

Step-by-step explanation:

i dunno for sure so probably use someone elses answer

a)Error:multiplied the numerator and denominator by 3 instead of 2.

b)The correct answer to the given expression is 8/15.

In the given image, Sadie made an error in the simplification of the expression.

The error is that she multiplied the numerator and denominator by 3 instead of 2.

She simplified the numerator and the denominator before carrying out multiplication by 2.

This resulted in the final answer being incorrect.

The correct answer would be 8/5.

The correct way to simplify the expression is as follows:

[tex]$$\frac{4}{3} \div \frac{5}{6} = \frac{4}{3} \times \frac{6}{5}$$[/tex]

Now, cross-cancelling can be performed because the numerator of the first fraction and the denominator of the second fraction have a common factor of 2.

[tex]$$=\frac{4 \times 2}{3 \times 5} = \frac{8}{15}$$[/tex]

Therefore, the correct answer to the given expression is 8/15.

To know more about expression, visit:

brainly.com/question/17621214

#SPJ11

Answer:

The polynomial expression for the profit from making and selling 'n' paper goods, is;

n × (n - 18)

Step-by-step explanation:

The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;

R = 2·n² - 15·n + 23

C = n² + 3·n + 23

The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;

The profit, P = R - C

By substituting the polynomials representing 'R', and 'C', we have;

P = 2·n² - 15·n + 23 - (n² + 3·n + 23)

∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23

P = n² - 18·n = n·(n - 18)

P = n·(n - 18)

The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).

Answer:

y = -5x + 1

Slope:

(-9 - -4)/(2 - 1) = -5 = m

Answer:

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

Step-by-step explanation:

Let

Cost of the small box = x

Cost of the medium box = y

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

x + 6y = 360 (1)

3x + 6y = 420 (2)

Eliminate y by subtracting (1) from (2)

3x - x + 6y - 6y = 420 - 360

2x = 60

x = 60/2

x = 30

Substitute x = 30 into (1) to find y

x + 6y = 360

30 + 6y = 360

6y = 360 - 30

6y = 330

y = 330/6

y = 55

Cost of the small box = x = 30 dirhams

Cost of the medium box = y = 55 dirhams

Answer:

Based on the calculations, the store with the better buy is The Eyewear Shoppe

Step-by-step explanation:

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.

For The Eyewear Shoppe:

The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.

Based on this promotion, you can get 2 sunglasses for $60

For Sunglass House

Sunglass House sells the sunglasses go 20% off the $40 retail price.

A Sunglass = $40 - ( 20%× $40)

= $40 - $8

= $32

Two sunglasses will cost = $32 × 2

= $64

Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe

If Jake buys 2 sunglasses from Sunglass House the total price would be $64. The Eyewear Shoppe would get you two sunglasses for $60. This means that the The Eyewear Shoppe is a better buy.

The given statement, "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is FALSE.

This statement is incorrect because the logistic regression model does not work well with perfectly separable data as logistic regression is not designed to handle perfectly separable data.

Explanation:Logistic regression is a statistical method used for modeling the relationship between a dependent variable and one or more independent variables.

It is widely used for classification problems that involve predicting a categorical outcome.For instance, logistic regression is used to predict the probability of a particular outcome (such as a person's gender, a customer's behavior, or a patient's diagnosis) based on one or more independent variables (such as age, income, education, etc.).However, logistic regression assumes that the data are not perfectly separable.

That is, it assumes that there is some overlap between the two classes in the feature space, and the logistic regression model tries to find a hyperplane that separates the two classes with maximum margin.

This means that logistic regression works best when the data is not perfectly separable. If the data is perfectly separable, then the logistic regression model will not work well because it will fail to find a decision boundary that separates the two classes.

To know more about classification problems, visit:

https://brainly.com/question/29740070

#SPJ11

The statement "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is false.

Logistic Regression is a statistical technique for examining a dataset in which there are one or more independent variables that determine an outcome.

The outcome is determined by a binary variable, which means that there are just two possible results.

In other words, it determines the likelihood of a dependent variable occurring for a given set of independent variables. It is widely used for prediction and classification purposes.

Logistic regression makes no assumptions about the distribution of the independent variables and, unlike linear regression, can use binary, categorical, and continuous independent variables. It also estimates the probabilities of an event occurring.

Linear regression is for continuous data and logistic regression is for categorical data.

So, the statement "Logistic regression works well for perfectly separable data, that is, a hyperplane in the feature space can separate the two classes in the training set" is false because logistic regression works best when data is inseparable.

To know more about Linear regression, visit:

https://brainly.com/question/13328200

#SPJ11