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hichkok12 [17]
2 years ago
5

What is the definition of the p-value? Group of answer choices the probability that we would see a test statistic this extreme o

r more if the null hypothesis were true. the probability that we would see a test statistic this extreme or more if the alternative hypothesis were true. the probability that the alternative hypothesis is true. the probability that the null hypothesis is true.
Mathematics
1 answer:
pshichka [43]2 years ago
6 0

Answer:

Option a is right

the probability that we would see a test statistic this extreme or more if the null hypothesis were true.

Step-by-step explanation:

In hypothesis testing we fix null and alternate hypothesis.  The conclusion of the test depends on the p value of the test.

The p value also known as probability value is the estimated probability of rejecting the null hypothesis when it is actually true.

It can be said the extreme value i.e. if p value is atleast this much we accept null hypothesis.

Hence out of the options given correct choice is

the probability that we would see a test statistic this extreme or more if the null hypothesis were true.

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Belkis is pulling a toy by exerting a force of 1.5 newtons on a string attached to the toy.
LekaFEV [45]
From what I imagine in the problem description, the toy is located on the ground. Then, Belkis is pulling on the string to keep the toy moving just like how you put a leash on a dog. My illustration is shown in the picture. The F arrow is where Belkis pulls it. Its component vectors are Fx and Fy, as shown. 

From the figure, we can see that it forms a right triangle. So, it makes it easy because the pythagorean theorems are applicable and we can easily use trigonometric functions. First, let's determine Fy which is located opposite to the angle. Since we know the hypotenuse F to be 1.5 N, so we use the sine function:

sin 52° = Fy/F = Fy/1.5
Fy = 1.182 N

For the horizontal component, Fx is parallel to the adjacent side with respect to the angle. Thus, we use the cosine function.

cos 52° = Fx/F = Fx/1.5
Fx = 0.923 N

8 0
2 years ago
Read 2 more answers
The length of a pencil is measured with two rulers. Report the length of the pencil from each ruler with the proper number of di
Roman55 [17]

Answer

Length measured using Ruler A= 1.17 dm

Length measured using Ruler B=1.18 dm

Step by Step Explanation:

I have added the missing photograph which shows the length of pencil being measured with two rulers.

Ruler A has marking separated by 1 dm

Ruler B has marking separated by 0.1 dm

Length measured using Ruler A= 1.17 dm

(As we can see I have added the middle markers, we can see the tip of pencil is somewhere between 1 and 1.25, it is more than 1.125 but lesser than 1.25, it is somewhere around 1.2 and 1.125 dm, approximately equal to one half of 1.25 which is 1.125 with addition of one of the three halves of half of 1.125 which is 1.125+0.045 dm hence 1.17dm)

Length measured using Ruler B=1.18 dm

(we can see the tip of pencil is just before 1.2 dm, it is clear that the value is precisely 1.18 and not 1.19 dm)

<u><em>Tip:Always measure one more decimal than given by the ruler when unsure about the exact value</em></u>

6 0
2 years ago
Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge
dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

f(x)=ax^2+bx+c.

Then

1. f(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2;

2. f(1)=7.5=a\cdot 1^2+b\cdot 1+c\Rightarrow 7.5=a+b+2;

3. f(2)=12=a\cdot 2^2+b\cdot 2+c\Rightarrow 12=4a+2b+2.

Solve the system of two equations:

\left\{\begin{array}{l}a+b+2=7.5\\4a+2b+2=12\end{array}\right.\Rightarrow\left\{\begin{array}{l}a=5.5-b\\4(5.5-b)+2b=10\end{array}\right.

Then

22-4b+2b=10,\\ \\-2b=-12,\\ \\b=6,\\ \\a=5.5-6=-0.5.

Thus, the equation of the function is

f(x)=-\dfrac{1}{2}x^2+6x+2.

Note that

f(3)=-\dfrac{1}{2}\cdot 3^2+6\cdot 3+2=-4.5+20=15.5;

f(4)=-\dfrac{1}{2}\cdot 4^2+6\cdot 4+2=18.

8 0
2 years ago
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You are looking out your window in a skyscraper, and again your window is at a height of 450 feet above the ground. This time, h
jarptica [38.1K]

Answer:

The tomato fell from 1027.2ft

Step-by-step explanation:

Parameters given:

Height from window = 450ft

Time taken to get from window to ground = 2 secs

V0, initial speed of tomato from drop point = 0 ft/s

Acceleration due to gravity = 32.2 ft/s^2

When the tomato gets to the observer at the window, its initial speed is no longer 0ft/s but an unknown value, u.

We can apply one of the equations of linear motion to then find this initial velocity at the window using the other parameters given i.e.  

s = ut + 1/2 at2^2

s = 450ft

t = 2 secs

a = g = 32.2ft/sec2^2

=> 450 = (u*2) + (1/2 * 32.2 * 2^2)

450 = 2u + 64.4

2u = 450 – 64.4

2u = 385.6

=> u = 192.8ft/s

Now that we know this initial velocity, we can use another equation of linear motion to find the height distance between the drop point and the window ,

v^2 - u^2 = 2gs

where s = distance between drop point and window

v = 192.8ft/s

u = 0ft/s;

=> 192.8^2 - 0^2 = 2*32.2*s

37171.84 = 64.4s

=> s = 37171.84/64.4

s = 577.20ft

Hence, distance from drop point to the ground, H, will be the addition of s and the height from the window to the ground:

=>H = 577.20 + 450

H = 1027.2ft

8 0
2 years ago
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Draw a bar model that shows how the number of hours in March compares with the number of hours in February of this year.
gogolik [260]
Okay so first we need to find how many days are in March and February. March has 31 days and because this year was a leap year February has 29 days.

The next step is to convert days to hours.
March: 31x24=744
February: 29x24=696

Now its time to graph

8 0
2 years ago
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