Answer:
Step-by-step explanation:
nth term = a +(n-1)d
a3 = 116 ; a + 2d = 116 ---------(i)
a7 = 180; a + 6d = 180 -------(ii)
multiply (ii) by -1. so a will be eliminated
a + 2d = 116 ---------(i)
(ii)*-1 <u>-a - 6d = -180</u> -------(ii) { Now add the two equations}
- 4d = -64
d = -64/-4
d = 16
Plug in the value of d in equation (i),
a + 2*16 = 116
a + 32 = 116
a = 116 - 32
a = 84
12th term = 84 + 11* 16 = 84 + 176 = 260
Answer: Speed in miles per hour is 45 mph.
Step-by-step explanation:
Since we have given that
Distance covered = 15 miles
Time taken to cover the above mentioned distance = 20 minutes
We need to calculate the speed in miles per hour ,
As we know the formula for " Speed " i.e.

Now, we will put the value of distance and time in the above formula:

Hence, Speed in miles per hour is 45 mph.
Answer:
x=30
Step-by-step explanation:
that's a 90º angle so 90÷3=30
If you add 6% your answer would be $<span>51.41 hope it helps <3</span>
Answer:
a
The null hypothesis is 
The alternative hypothesis 
b
The 95% confidence interval is 
Step-by-step explanation:
From the question the we are told that
The population mean is 
The sample size is n = 30
The sample mean is 
The standard deviation is 
Given that the confidence level is
then the level of significance is mathematically represented as


=> 
Next we obtain the critical value of
from the normal distribution table
The value is 
Generally the margin of error is mathematically represented as

substituting values


The 95% confidence interval confidence interval is mathematically represented as

substituting values

