Hey there!!
Let us take the first number as ' x '
According to the question
The second number exceeds the first number by 15
hence, the second number = x+15
The sum of both the numbers = 69
which means
x + x + 15 = 69
2x+15 = 69
Subtracting by 15 on both sides
2x + 15 - 15 = 69 - 15
2x = 54
dividing by 2 on both sides
x = 27
first number = 27
second number = 27 + 15
= 42
Hope my answer helps!
The answer for this problem is z=18
The next number in the sequence will be 12.
<em><u>Explanation</u></em>
The given sequence is: 8, 15, 14, 9, 1, 6, 3
If we express these numbers in words, then we can see that the words are in alphabetical order, like....
Eight, Fifteen, Fourteen, Nine, One, Six, Three
There are two numbers 10 and 12 in the options which starts with letter 'T' , but alphabetically '<u>Tw</u>elve' will be the next number after '<u>Th</u>ree'
So, the next number in the sequence will be 12.
Answer:
The p-value is 0.175
Step-by-step explanation:
We have the null hypothesis
and the alternative hypothesis
(two-tailed alternative). Because the sample size is n = 17 and the test statistic is t=-1.421, we know that this last value comes from a t distribution with n-1=17-1=16 degrees of freedom. Therefore, the p-value is given by 2P(T < -1.421) because the p-value is the probability of getting a value as extreme as the observed value and because of the simmetry of the t distribution. Here, T has a t distribution with 16 df and we are using the t distribution because the sample size is small. So, 2P(T < -1.421) = 0.1745