Answer: 1⁵/₈ pints
Step-by-step explanation:
First can contained 3¹/₄ pints and second can contained 6¹/₂.
To make them equal, first find the different;
= 6¹/₂ - 3¹/₄
= 6.5 - 3.25
= 3.25
Divide this difference by 2;
= 3.25/2
= 1.625
= 1⁶²⁵/₁₀₀₀
= 1⁵/₈ pints
If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.
Answer: the tuition in 2020 is $502300
Step-by-step explanation:
The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500
The fee in 2018 is the 19th term of the sequence. Therefore,
T19 = $45,4120
n = 19
Therefore,
454120 = 20500 + (19 - 1) d
454120 - 20500 = 19d
18d = 433620
d = 24090
Therefore, an
equation that can be used to find the tuition y for x years after 2000 is
y = 20500 + 24090(x - 1)
Therefore, at 2020,
n = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
Answer:
-12x^5 + 14x^3 -2x^2 + 10x
Step-by-step explanation:
-2x(6x^4 -7x^2 +x-5) =
-12x^5 + 14x^3 -2x^2 + 10x
Answer:
Yes, the background color appear to have an effect on the variation of word recall scores
Step-by-step explanation:
Given that results from scores on a test of word recall are given are as follows:
Two test scores have independent means and having normal distribution.
(Two tailed test at 5% significance level)
Group Group One Group Two
Mean 15.1400 12.4200
SD 5.9100 5.4200
SEM 0.9990 0.8910
N 35 37
The mean of Group One minus Group Two equals 2.7200
standard error of difference = 1.335
Hence t statistic = 2.0369
p value = 0.0454
Since p <0.05 we reject null hypothesis
Yes, the background color appear to have an effect on the variation of word recall scores
