Answer:
Answer will be 29.
Step-by-step explanation:
When you divide 145 by 5 that is:
145/5 = 29
29 can't be divided further.
Hence partial quotient will be 29 here.
Answer:
14 because 2×7 is 14 and 14 can go into 2 7times
Answer: Only the second sequence is arithmetic.
Work:
An arithmetic sequence is a sequence in which there is a common value added or subtracted between each term in the sequence.
The first option, -2, 4, -6, 8,... is not arithmetic because the terms switch back and forth between positive and negative signs meaning that there is no common value that can be added between each term.
The second option, -8, -6, -4, -2,... is arithmetic because there is a common difference between each term which is +2.
The third option, 2, 4, 8, 16,... is not arithmetic but is, in fact, geometric. There is no common value that is added or subtracted between each term.
Answer:
The condition are
The Null hypothesis is
The Alternative hypothesis is
The check revealed that
There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n = 20
The sample mean is
The standard deviation is
The Null hypothesis is
The Alternative hypothesis is
So i will be making use of level of significance to test this claim
The critical value of from the normal distribution table is
Generally the test statistics is mathematically evaluated as
substituting values
Looking at the value of t and we see that so we fail to reject the null hypothesis
This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
Answer:
25%
Step-by-step explanation:
To solve this, we can use the percent change formula shown in the picture attached below. is the new value, is the old value, and represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change:
×
×
×
Thus, the answer is 25%.