Answer:
The null hypothesis is that all the different teaching methods have the same average test scores.
H0: μ1 = μ2 = μ3 = μ4 = μ5
The alternative hypothesis is that at least one of the teaching methods have a different mean.
Ha: at least one mean is different. (μ1 ≠ μi)
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above, let μ represent the average test scores for the teaching methods:
The null hypothesis is that all the different teaching methods have the same average test scores.
H0: μ1 = μ2 = μ3 = μ4 = μ5
The alternative hypothesis is that at least one of the teaching methods have a different mean.
Ha: at least one mean is different. (μ1 ≠ μi)
Answer:
T = 1yrs and 8month
Step-by-step explanation:
S.I = $97.3O
S.I = PTR/100
$<u>97.30</u> = <u>$1200 × 4.5 × T</u>
1 100
Cross multiply
$5400T = $9730
divide both sides by$5400
T = 1.8yrs
Answer:
The mixture C is the correct option
Step-by-step explanation:
According to the given scenario, the calculation is as follows:
For Mixture A
Blue Paint - 5 cups
White Paint - 12 cups
The ratio between them is 5:12
For Mixture B
Blue Paint - 6 cups
White Paint - 6 cups
The ratio between them is 6:6 = 12:12
It came by multiply the numerator and denominator by 12
For Mixture C
Blue Paint - 4 cups
White Paint - 12 cups
The ratio between them is 4:12
For Mixture D
Blue Paint - 5 cups
White Paint - 6 cups
The ratio between them is 5:6 = 10:12
It came by multiply the numerator and denominator by 12
As it can be seen that in all four mixtures the denominator is the same so for calculating the lowest ratio we have to see the small value in the numerator
As it can be seen that there is a small value of 4
hence, the mixture C is the correct option
Answer:
18 and 20, 4
Step-by-step explanation:
Math reasoning 1:
Set the first number as x and the other one as x+2 because it is a consecutive even number.
x+x+2=38
2x=36
x=18
18+2=20
The 2 consecutive numbers are 18 and 20
Problem solving 1:
Write out equation first, set the unknown number as x
5+x=9
x=4
Answer:
12, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72.
Step-by-step explanation:
A stem and leaf plot works like a digit separator. The left is the first number, which is usually repeated, and the right is the number you add to it.
In this example, 3 is used three times for the numbers 34, 35, and 39.