<h2><em><u>Solution</u></em> : </h2>
let the last number be x
we know,
![\boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }](https://tex.z-dn.net/?f=%20%5Cboxed%7Bmean%20%3D%20%20%5Cfrac%7Bsum%20%5C%3A%20%20%5C%3A%20of%20%5C%3A%20%20%5C%3A%20all%20%5C%3A%20%20%5C%3A%20observations%7D%7Bnumber%20%5C%3A%20%20%5C%3A%20of%20%5C%3A%20%20%5C%3A%20observations%7D%20%7D)
So,
![\hookrightarrow \: 8 = \dfrac{22 + x}{4}](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%208%20%3D%20%20%5Cdfrac%7B22%20%2B%20x%7D%7B4%7D%20)
![\hookrightarrow \: 8 \times 4 = 22 + x](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%208%20%5Ctimes%204%20%3D%2022%20%2B%20x)
![\hookrightarrow \: 32 = 22 + x](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%2032%20%3D%2022%20%2B%20x)
![\hookrightarrow \: x = 32 - 22](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%20x%20%3D%2032%20-%2022)
![\hookrightarrow \: x = 10](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%20x%20%3D%2010)
therefore, the last number is 10.
Y= mx+b (slope intercept form)
m= the slope (in this case 8)
b= the y-intercept (-3)
the answer: y=8x-3
Answer:
3/25
Step-by-step explanation:
Simplify the fraction by using common factors of numerator and denominator. Now, 12% can be written as 12/100.
Answer:
h = 3.75
Step-by-step explanation:
Step 1: Write equation
2.5/6 = h/9
Step 2: Solve for <em>h</em>
- Cross multiply: 22.5 = 6h
- Divide both sides by 6: 3.75 = h
- Rewrite: h = 3.75
Step 3: Check
<em>Plug in h to verify it's a solution.</em>
2.5/6 = 3.75/9
0.416667 = 0.416667
Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean,
= 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
![t_{stat} = \displaystyle\frac{4.8 - 4}{\frac{2.3}{\sqrt{15}} } = 1.3471](https://tex.z-dn.net/?f=t_%7Bstat%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B4.8%20-%204%7D%7B%5Cfrac%7B2.3%7D%7B%5Csqrt%7B15%7D%7D%20%7D%20%3D%201.3471)
Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.