Answer:
6:22
Step-by-step explanation:
4:55 + 1:27 = 6:22
Answer:
(c) 3360
Step-by-step explanation:
Given
The above arithmetic series where:
--- first term
--- the common difference (18 - 12 = 6)
--- The last term
Required
The value of the series
First, we calculate n using:
![T_n = T_1 + (n - 1)d](https://tex.z-dn.net/?f=T_n%20%3D%20T_1%20%2B%20%28n%20-%201%29d)
This gives:
![198 = 12 + (n - 1)*6](https://tex.z-dn.net/?f=198%20%3D%2012%20%2B%20%28n%20-%201%29%2A6)
Collect like terms
![198 - 12 = (n - 1)*6](https://tex.z-dn.net/?f=198%20-%2012%20%3D%20%28n%20-%201%29%2A6)
![186 = (n - 1)*6](https://tex.z-dn.net/?f=186%20%3D%20%28n%20-%201%29%2A6)
Divide both sides by 6
![31 = (n - 1)](https://tex.z-dn.net/?f=31%20%3D%20%28n%20-%201%29)
Make n the subject
![n = 31 + 1](https://tex.z-dn.net/?f=n%20%3D%2031%20%2B%201)
![n=32](https://tex.z-dn.net/?f=n%3D32)
The sum of the series is:
![S_n= \frac{n}{2}(T_1 + T_n)](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7Bn%7D%7B2%7D%28T_1%20%2B%20T_n%29)
So, we have:
![S_n= \frac{32}{2}(12 + 198)](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7B32%7D%7B2%7D%2812%20%2B%20198%29)
![S_n= \frac{32}{2}*210](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7B32%7D%7B2%7D%2A210)
![S_n= 16*210](https://tex.z-dn.net/?f=S_n%3D%2016%2A210)
![S_n= 3360](https://tex.z-dn.net/?f=S_n%3D%203360)
Her total amount of pencils is b+y
Answer:
Step-by-step explanation:
Given that a USA Today/Gallup poll conducted between 2010 and 2011 asked a group of unemployed and underemployed Americans if they have had major problems in their relationships with their spouse or another close family member as a result of not having a job (if unemployed) or not having a full-time job (if underemployed).
Let p1 be the proportion of I group and p2 for II group.
a) the hypotheses for evaluating if the proportions of unemployed and underemployed people who had relationship problems were different
![H_0: p_1 = p_2\\H_a: p_1 \neq p_2](https://tex.z-dn.net/?f=H_0%3A%20p_1%20%3D%20p_2%5C%5CH_a%3A%20p_1%20%5Cneq%20p_2)
(two tailed test)
b) p value = 0.35
A small p value indicates strong evidence against null hypothesis.
Normally significance level would be 5% or 1% or 10% . If p value is above this value, this proves that null hypothesis can be accepted.
Here p = 0.35 implies that there is no significant different between the two proportions.
Answer:
0.105 or 21/200
Step-by-step explanation:
2/8= 0.375 cups
0.375x0.72= 0.27 cups or 27/100
0.375-0.27= 0.105