Prime factorization expresses an integer in terms of multiples of prime numbers. The prime factorization of 20 using exponents can be written as 2²×5¹.
Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
Prime factorization is when all those factors are prime numbers.
Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
The prime factorization of 20 using exponents can be written as,
20 = 1 × 2 × 2 × 5
= 2² × 5¹
Hence, the prime factorization of 20 using exponents can be written as 2²×5¹.
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Answer: 371 / y
Step-by-step explanation: 371 is the dividend and y is the divisor
Answer:
It may look simple to the owner because he is not the one losing a job. For the three machinists it represents a major event with major consequences
Answer:
Slope = 2
Step-by-step explanation:
Slope =
Slope =
Slope =
Slope = 2
In the given case, we can conclude that The slope of the line JK is 2.
To find the slope of the line that passes through the points J(-1,-9) and K(5,3), we can use the formula: slope =
The slope of a line is a measure of how steep the line is. It describes the rate at which the dependent variable (usually denoted as 'y') changes with respect to a change in the independent variable (usually denoted as 'x').
Plugging in the coordinates, we get:
slope = (3 - (-9)) / (5 - (-1)) = 12 / 6 = 2.
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-16
12
-8
-20 -16 -12
-
-4
48
12
16 2024
-8
-12
16
If the graph of the second equation in the system passes through (-12, 20) and (4,12), which statement is true?
(B) what is the estimated average difference in electro-olfactogram readings between the two groups? What is the 95% confidnece limit for the difference between population means?
Answer:
a)
"=T.INV(1-0.025,10)", and we got
Statistical decision
Since our calculated value is higher than our critical value,, we have enough evidence to reject the null hypothesis at 5% of significance.
b)
The degrees of freedom are given:
Step-by-step explanation:
Part a
Data given and notation
represent the mean for scent of pre ovulatory
represent the mean for post ovolatory
represent the sample standard deviation for preovulatory
represent the sample standard deviation for postovulatory
sample size for the group preovulatory
sample size for the group postovulatory
z would represent the statistic (variable of interest)
represent the p value
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the mean's are different, the system of hypothesis would be:
H0:
H1:
If we analyze the size for the samples both are lower than 30, so for this case is better apply a t test to compare means, and the statistic is given by:
(1)
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Calculate the statistic
We have all in order to replace in formula (1) like this:
Find the critical value
We find the degrees of freedom:
In order to find the critical value we need to take in count that we are conducting a two tailed test, so we are looking for thwo values on the t distribution with df =10 that accumulates 0.025 of the area on each tail. We can us excel or a table to find it, for example the code in Excel is:
"=T.INV(1-0.025,10)", and we got
Statistical decision
Since our calculated value is higher than our critical value,, we have enough evidence to reject the null hypothesis at 5% of significance.
Part b
For this case the confidence interval is given by:
The degrees of freedom are given: