Answer:
yedhxncj
Step-by-step explanation:
tgrfhhffbvxvxxnndhndhfdhduduriI'm playing with my pu**y find me here - www.nowdate.fun
Answer:
A 2
Step-by-step explanation:
When we divide x by 9 there is some whole number we will call y plus a remainder of 4
x/9 = y remainder 4
Writing this in fraction form
x/9 = y + 4/9
Multiplying each side by 9
9*x/9 = 9* y + 4/9 *9
x = 9y +4
Multiply each side by 2
2x = 2*(9y+4)
2x = 18y +8
Add 3 to each side
2x+3 = 18y +8+3
2x+3 = 18y +11
Divide each side by 9
(2x+3)/9 = 18y/9 +11/9
= 2y + 9/9 +2/9
=(2y+1 + 2/9)
We know y is a whole number and 1 is a whole number so we can ignore 2y +1 when looking for a remainder)
2/9 is a fraction
Taking this back from fraction form to remainder from
(2y+1) remainder 2
Complete Question
It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?
Answer:
At both
and
the conclusion is that the thread has become inferior
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 9.72 \ oz](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%209.72%20%5C%20oz)
The standard deviation is ![\sigma = 1.40\ oz](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%201.40%5C%20%20oz)
The sample size is n = 36
The sample mean is ![\= x = 8.93 \ oz](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%208.93%20%5C%20oz)
The null hypothesis is ![H_o : \mu = 9.72 \ oz](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20%5Cmu%20%3D%20%209.72%20%5C%20%20oz)
The alternative hypothesis is ![H_a : \mu < 9.72 \ oz](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%3C%20%209.72%20%5C%20oz)
Generally the test statistics is mathematically represented as
![t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%20%5C%3D%20x%20-%20%5Cmu%20%7D%7B%20%5Cfrac%7B%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%7D)
=> ![t = \frac{ 8.93 -9.72}{ \frac{ 1.4 }{ \sqrt{36} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%208.93%20-9.72%7D%7B%20%5Cfrac%7B%201.4%20%7D%7B%20%5Csqrt%7B36%7D%20%7D%20%7D)
=> ![t = -3.33](https://tex.z-dn.net/?f=t%20%3D%20-3.33)
So
The p-value obtained from the z- table is
![p-value = P( Z < -3.39) = 0.00034946](https://tex.z-dn.net/?f=p-value%20%20%3D%20%20P%28%20Z%20%20%3C%20%20-3.39%29%20%3D%200.00034946)
So at ![\alpha = 0.0 5](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%200.0%205)
![p-value < \alpha](https://tex.z-dn.net/?f=p-value%20%20%3C%20%20%5Calpha)
So we reject the null hypothesis,hence we conclude that the thread has become inferior
So at ![\alpha = 0.0 1](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%200.0%201)
![p-value < \alpha](https://tex.z-dn.net/?f=p-value%20%20%3C%20%20%5Calpha)
So we reject the null hypothesis,hence we conclude that the thread has become inferior
Answer:
864
Step-by-step explanation:
Because the tank is a cube, all 6 faces have dimensions of 12 by 12. Therefore, the surface area is 6 * (12 * 12) = 864 (in²)
Answer:
The correct answer is 17 kilometers.
Step-by-step explanation:
Let A denote the point where the airport is located.
Newberg is located 8 kilometers due north of airport say at point B.
Summer field is located 15 kilometers due east of the airport say at point C.
Thus ABC is the required right angled triangle with sides AB = 8; AC = 15; and ∠A = 90°.
Thus we use Pythagoras theorem to find the value of the side BC which indeed would give us the distance between Newberg and Summer field.
∴
=
=
= 17 kilometers.
Thus the distance between Newberg and Summer field is 17 Kilometers.