Answer:
a. y=x+1
b. x=-3
Step-by-step explanation:
a. slope= (6-4)/(5-3)=1
substitute (5,6) to y=1x+b; b=1
therefore, y=x+1
b. x=-3
Answer:
There is difference in the scores of males and females
Step-by-step explanation:
Given that a professor teaches a certain section of material using a lot of examples with sports and cars to illustrate. He is concerned that this may have biased his instruction to favor male students
Since simple variances are unequal, we can do t test for comparison of two means with unequal variances
![H_0 : \bar x =\bar y\\H_a : \bar x \neq \bar y](https://tex.z-dn.net/?f=H_0%20%3A%20%5Cbar%20x%20%3D%5Cbar%20y%5C%5CH_a%20%3A%20%5Cbar%20x%20%5Cneq%20%5Cbar%20y)
Group Group One Group Two
Mean 84.00 78.00
SD 4.00 8.00
SEM 1.26 2.53
N 10 10
The mean of Group One minus Group Two equals 6.00
95% confidence interval of this difference: From 0.06 to 11.94
t = 2.1213
df = 18
standard error of difference = 2.828
The two-tailed P value equals 0.0480
Since p <0.05 we reject null hypothesis
There is difference in the scores of males and females
Answer:
12
Step-by-step explanation:
Rewriting input as fractions if necessary:
1/12, 3/4
For the denominators (12, 4) the least common multiple (LCM) is 12.
LCM(12, 4)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/12 = 1/12 × 1/1 = 1/12
3/4 = 3/4 × 3/3 = 9/12
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Answer:
Step-by-step explanation:
1)b ^3 ×b ^6 =b ^(3+6) =b ^9
2) 5 ^2 ×5 ^4 =5 ^(2+4) =5 ^6