Answer:
m = - 7.5
Step-by-step explanation:
Given
9 + m = 1.5 ( subtract 9 from both sides )
m = - 7.5
Answer:
2x-5=y
I'm not sure how your graphing tool works so I'll give you five or so coordinates
(-1,-7)
(1,-3)
(0,-5)
(2,-1)
(-2,-9)
Step-by-step explanation:
You first need to write an equation that you can graph
Knowing that the slope is two we can write the following equation
2x+b=y
We also know that when x=1 y=-3
This gives us 2*1+b=-3
which means that 2+b=-3
subtract 2 from both sides to figure out the b=-3
This means that the line you have to graph is 2x-5=y
Answer:
So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.
Step-by-step explanation:
In this data we have
Mean= u = 18
X= 38
Standard deviation = s= 6
1) We formulate the null and alternate hypothesis as
H0: u = 18 against Ha : u > 18 One tailed test .
2) The significance level alpha = ∝= 0.05 and Z alpha has a value ± 1.645 for one tailed test.
3)The test statistics used is
Z= X- u / s
z= 38-18/6= 3.333
4) The calculated value of z = 3.33 is greater than the z∝ = 1.645
5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.
First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.
Then we find the value of z for the given significance value given and the test about to be checked.
Then the test statistic is determined and calculated.
Then both value of z and z alpha re compared. If the test statistics falls in the rejection region reject the null hypothesis and conclude alternate hypothesis is true.
The figure shows that the calulated z value lies outside the given z values
A counter-example could be
There are more than 3 marbles in the bag, and the other ones are red.
Hope this helps!
Answer:
20x - 8
Step-by-step explanation:
Since we have the length and height of the rectangle we just multiply each by 2. This is because the length is the same on both sides and the height is too. The equation would look like this:
(5x-4 + 5x -4) + (5x +5x) = 10x -8 + 10 x = 20x -8