Question 4 of 10
What is the distance between the points (3, 7) and (15, 16) on a coordinate
plane?

If an independent random sample is selected from an approximately normal population with an unknown standard deviation Ha: μ≠ μo , n = 11, T = 1.91, the p-value is 0.084

To find the p-value for a two-tailed t-test, we need to find the area in the tails beyond the t-statistic. The t-distribution with 10 degrees of freedom (n-1) is used because the sample size is 11.

Using a t-table or calculator, we can find that the probability of getting a t-value of 1.91 or greater is 0.042. Since this is a two-tailed test, we need to double this probability to find the total area in both tails beyond the t-statistic.

Therefore, the p-value is 0.084 (0.042 x 2). This means that if the null hypothesis is true (i.e., μ = μo), there is an 8.4% chance of obtaining a sample mean as extreme as the one observed or more extreme. Since the p-value is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis at the 5% level of significance.

To learn more about p-value click on,

https://brainly.com/question/17237919

#SPJ4

Complete question is:

An independent random sample is selected from an approximately normal population with an unknown standard deviation. find the p-value for the given set of hypotheses and t test statistic. (round your answers to three decimal places.)

Ha: μ≠ μo , n = 11, T = 1.91

Given:

\(-3x+2b>8\)

To find:

The value of x.

Solution:

We have,

\(-3x+2b>8\)

To find the value of x, we need to isolate x on one side.

Subtract 2b from both sides.

\(-3x>8-2b\)

Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.

\(\dfrac{-3x}{-3}<\dfrac{8-2b}{-3}\)

\(x<\dfrac{-2b+8}{-3}\)

The required inequality for x is \(x<\dfrac{-2b+8}{-3}\).

Therefore, the correct option is A.

1. Total person-years of observation = 48 + 20 + 30 + 730 = 828 person-years.

2. The incidence rate of breast cancer in this population is approximately 1,449.28 cases per 100,000 person-years of observation.

1- To calculate the number of person-years of observation, we need to consider the duration of follow-up for each individual and sum them up.

For the women who developed breast cancer:

12 women were followed for 4 years each, totaling 12 * 4 = 48 person-years.

For the women who remained healthy but were lost to follow-up:

10 women were followed for 2 years each, totaling 10 * 2 = 20 person-years.

For the women who died of heart disease:

5 women were followed for 6 years each, totaling 5 * 6 = 30 person-years.

For the remaining women who remained healthy and were followed for 10 years:

100 - 12 - 10 - 5 = 73 women were followed for 10 years each, totaling 73 * 10 = 730 person-years.

Total person-years of observation = 48 + 20 + 30 + 730 = 828 person-years.

2- The incidence rate can be calculated by dividing the number of new cases (12 women who developed breast cancer) by the total person-years of observation (828 person-years) and multiplying by a constant (e.g., 100,000) to express it per 100,000 person-years.

Incidence rate = (Number of new cases / Total person-years) * 100,000

Incidence rate = (12 / 828) * 100,000

Incidence rate ≈ 1,449.28 per 100,000 person-years.

Interpretation: The incidence rate of breast cancer in this population is approximately 1,449.28 cases per 100,000 person-years of observation.

Learn more about  population  from

https://brainly.com/question/25896797

#SPJ11

Answer:

12 percent is the vat percentage.

4080 is the amount of VAT

Step-by-step explanation:

It's a pretty simple question don't stress it.

To find the amount of the vat, it's simply subtracting the price including VAT by the initial price, 34000.

38080 - 34000 = 4080

To find the percentage of vat, simply do

\(\frac{Price Including Vat}{Original Price} \)   This equation will give you the percentage of VAT.

38080/34000 = 1.12

Answer:

6k 2k-6

Step-by-step explanation:

Answer:

12 and 48

Step-by-step explanation:

let n be the larger number , then \(\frac{1}{4}\) n is the smaller number and their sum is

x + \(\frac{1}{4}\) x = 60 ( multiply through by 4 to clear the fraction )

4x + x = 240 , that is

5x = 240 ( divide both sides by 5 )

x = 48

smaller number = \(\frac{1}{4}\) × 48 = 12

The 2 numbers are 12 and 48

Anaiah currently spending  $150 on these goods

*He is not spending his entire income  

*His marginal utility per dollar spent is not the same for both goods

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

consumption of eggplant

= 20 price of eggplant

= 3

consumption of kiwi is

= 30 price of eggplant

= 3

Formula:

Spending

= price of eggplant*consumption of eggplant + price of kiwi*consumption of kiwi

= 3*20+3*30

= 150

Utility per one dollar spent on the 20th eggplant

=  160

Marginal utility per dollar spent on the 30th kiwi

= 190 utils.

Note that y 160<190

Currently spending= 150

& budget = 180

150<180

According theory of choice consumer need the maximize the utility so answer is

Answer -:

*He is not spending his entire income

*His marginal utility per dollar spent is not the same for both goods

To learn more about the unit rate from the given link

https://brainly.com/question/4895463

#SPJ1

This is the probability that the equipment is not rented for y-1 consecutive days (i.e., (\((4/5)^{(y-1)}\))), followed by a rental on the yth day (i.e., (1/5)).

The normal, also known as the mean, is a measure of central tendency that's calculated by adding up a set of figures and also dividing the sum by the total number of values. In other words, the normal is the sum of all values divided by the number of values. It's a useful statistic for recapitulating a dataset and giving an idea of what a typical value might be

Given by the question.

Since the equipment is leased on average only one day in five, the probability of renting the equipment on any given day is 1/5. We can model the number of days between rentals as a geometric distribution with parameter p = 1/5. Specifically, let Y be the number of days between two consecutive rentals. Then,

P (Y = y) = \((4/5) ^{(y-1)}\)* (1/5)

for y = 1, 2, 3, ...

Note that this assumes that the rentals are independent and identically distributed, so the probability of rental on any given day is the same, regardless of when the last rental occurred.

To learn more about equipment visit:

https://brainly.com/question/30230359

#SPJ1

As per the statements given in the question, the equations are N(t) = 930 + (t/4)32, N(t) = 930 - (t/2)64, N(t)= 930 + (2t)36.

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the given information in the question,

Total number of students enrolled in new charter = 930

1.

Increases by 32 students every 4 years, the equation will be,

N(t) = 930 + (t/4)32

Here, t is the number of years.

2.

Decreases by 64 students every 2 years, the equation will be,

N(t) = 930 - (t/2)64

One more

3.

Increases by 36 students every semester (twice each year), the equation will be,

N(t)= 930 + (2t)36

To know more about Fraction:

https://brainly.com/question/10354322

#SPJ1

the answer is -43.89

Answer:

-19.57

Step-by-step explanation:

you can also write this equation like this (3.3 x -1.9) (7 x -1.9)

(3.3 x -1.9)= -6.27

(7 x -1.9)= -13.3

now u subtract them

-6.27-13.3 = -19.57

Answer:

They have completed 50% of the race

Step-by-step explanation:

13 is half of 26. So when putting it in fraction form 13/26 can be equal to 50/100/

Now we can see that our fraction is 50/100, which means that 13/26 as a percentage is 50%.

The quality which a taylor polynomial have that the tangent line does not necessarily have is that Taylor polynomial has a far better approximation of f(x) near x = a than is the tangent line

Taylor polynomial function simply refers to an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

So therefore, the quality which a taylor polynomial have that the tangent line does not necessarily have is that Taylor polynomial has a far better approximation of f(x) near x = a than is the tangent line

Learn more about Taylor polynomial function:

https://brainly.com/question/2533683

#SPJ4

Increase in taxes is one of the reasons why the change in Mr. Henderson's net income

It is possible that Mr. Henderson's net income has decreased this month despite having received the same gross income as last month. Let us examine some of the plausible rationales behind it:

An increase in taxes: If Mr. Henderson worked more hours or obtained a raise, his gross income would be higher. However, if he now belongs to a higher tax bracket, he will owe more money in taxes and therefore have lower net income.

A change in deductions: It is likely that Mr. Henderson's employer may have modified his paycheck deductions which can lead to more taxes being held back from his earnings - an eventuality that could cause his net income to decrease.

Alterations in benefits: Changes in Mr. Henderson's approved employee benefits plan- insurance premiums increasing or retirement savings contributions stalling, for instance- could also explain why his net income reduced this month.

Read more on net income here:https://brainly.com/question/15530787

#SPJ1

Answer:

4/3

Step-by-step explanation:

Answer:

input and output and it's a cubric function

The following parts can be answered by the concept of equilibrium constant.

a. Kp = P_NH₄Cl

b. P_CO × P_H₂ / P_H₂O


a. For the reaction NH₃(g) + HCl(g) <=> NH₄Cl(s), the equilibrium constant Kc is given by:

Kc = [NH₄Cl(s)]

Since NH₄Cl is a solid, it's generally omitted from the expression, so Kc is not applicable for this reaction. However, Kp (the equilibrium constant in terms of pressure) can be calculated as:

Kp = P_NH₄Cl

b. For the reaction C(s) + H₂O(g) <=> CO(g) + H₂(g), the equilibrium constant Kc is given by:

Kc = [CO(g)][H₂(g)] / [H₂O(g)]

And the equilibrium constant Kp is given by:

Kp = P_CO × P_H₂ / P_H₂O

Therefore,

a. Kp = P_NH₄Cl

b. P_CO × P_H₂ / P_H₂O


To learn more about equilibrium constant here:

brainly.com/question/31321186#

#SPJ11

Answer:

h=9cm

P=(x+5)cm

b=(x-3)cm

by the Pythagoras theorem,

h^2=p^2+b^2

9^2=(x+5)^2+(x-3)^2

81=x^2+10x+25+x^2-6x+9

81=2x^2+4x+34

Answer:

∆DEF and ∆LMN are congruent meaning the same. also meaning all three angles are the same so you draw two triangles after drawing your triangles start with the first triangle you drew an on the bottom left angle put your D then your bottom right angle put your F now on the second triangle you will do the same thing but it will be with you ∆LMN. YOU will start left bottom angle an put you L an on the right bottom angle put your N

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

Learn more about Probability:

https://brainly.com/question/26203207

#SPJ4

The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

Learn more about z test at https://brainly.com/question/32334731

#SPJ11

Answer:

B ≥ 209

Step-by-step explanation:

This is the equation - 25b + 525 ≥ 5750  .      

Comment if I solved it incorrectly ;-;  

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

More on Linnaean class system: https://brainly.com/question/2548027

#SPJ11

Answer:

lol

Step-by-step explanation:knjnhbgvfcdxefcvgbhnjhbgvtcrftgbhnj

Answer:

The temperature at the top of the mountain is lower than at the bottom

Answer: Colder

Step-by-step explanation: Because the air is thinner, causing the air molecules to move around less, making the air colder.

i cant understand your question define briefly

Answer:

8.4 cm^3 to the nearest tenth.

Step-by-step explanation:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

So:

5^3 / 2^3 = 131 / v

v = 2^3 * 131 / 5^3

= 8 * 131 / 125

= 8.384.

The volume of smaller cone is 8.4 cm³

The volume of a cone formula is given as one-third the product of the area of the circular base and the height of the cone. According to the geometric and mathematical concepts, a cone can be termed as a pyramid with a circular cross-section. By measuring the height and radius of a cone, you can easily find out the volume of a cone. If the radius of the base of the cone is "r" and the height of the cone is "h", the volume of cone is given as V = (1/3)πr²h.

By applying Pythagoras theorem on the cone, we can find the relation between volume and slant height of the cone.

We know, h² + r² = L²

⇒ h = √(L² - r²)

where,

h is the height of the cone,

r is the radius of the base, and,

L is the slant height of the cone.

The volume of the cone in terms of slant height can be given as V = (1/3)πr²h = (1/3)πr²√(L² - r²).

Given:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

Then,

5³ / 2³ = 131 / v

v = 2³ * 131 / 5³

v = 8 * 131 / 125

v = 8.384 cm³

Learn more about volume here:

https://brainly.com/question/1984638

#SPJ2

Answer:

41 apples

Step-by-step explanation:

13 apples + 9 apples + 19 apples

41 apples