Given:
The sequence is:
-15,-10,-4, 3, 11, ______
To find:
The next number.
Solution:
We have,
-15,-10,-4, 3, 11, ______
Here, the difference between two consecutive terms are:
Similarly,
It is clear that the difference difference between two consecutive terms is increasing by 1. So, the next difference must be (8+1)=9.
Let the next number be x. Then,
Therefore, the next number of the sequence is 20.
Class 2 scored better on average
<h3>How to determine which class scored better on average?</h3>
The averages and the standard deviations are given as:
Class 1
Mean score = 7.8
Standard deviation = 1
Class 2
Mean score = 8.1
Standard deviation = 0.2
As a general rule, the smaller the standard deviation; the better the average
Class 2 has a smaller deviation
Hence, class 2 scored better on average
Read more about standard deviation at:
brainly.com/question/28061243
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Answer:
x = -6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
5x - 6 = 4x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
- Isolate <em>x</em> terms: x - 6 = -12
- Isolate <em>x</em>: x = -6
Answer:
There is not enough evidence to support the claim that the bags are under filled.
Step-by-step explanation:
Given :
Population mean, μ = 433
Sample size, n = 26
xbar = 427
Variance, s² = 324 ; Standard deviation, s = √324 = 18
The hypothesis :
H0 : μ = 433
H0 : μ < 433
The test statistic :
(xbar - μ) ÷ (s/√(n))
(427 - 433) / (18 / √26)
-6 / 3.5300904
T = -1.70
The Pvalue :
df = 26-1 = 25 ; α = 0.05
Pvalue = 0.0508
Since Pvalue > α ; WE fail to reject the Null and conclude that there is not enough evidence to support the claim that the bags are underfilled
Answer:
This is hard
Step-by-step explanation:
Well idk