Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that 
Randomly select 10 cars
This means that 
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that 
Calculate the test statistic.
The test statistic is t = 3.24.
Answer.
1) False
2) False
3) False
Explanation
1) When a number is written as a+bi, a and b are real number. b is never considered as imaginary number.
The statement given is false.
2) The value of i is √(-1), when squared we get;
(√(-1))² = -1.
The answer given is false.
3) It is not possible to graph a complex number is XY coordinates. Complex number are graphed on an imaginary axis and real axis only.
The statement given is false.
Answer:
<h2><em><u>
a) is correct</u></em></h2>
3n + 5
1. Substitute the numbers
3(5) + 5 = 15 + 5 = <em><u>20</u></em>
2. Substitute the second number
3(6) + 5 = 18 + 5 = <em><u>23</u></em>
<h2><u><em>
b) Numbers are 8 and 16.</em></u></h2>
This is because I realized I got the number of 4 last because I did 1*2 = 2.
Then I did 2*2 = 4.
So you have to multiply by two to get the next number. Or you can put it to the 4th or 5th exponent of 2.
1. 1
2. 1*2 = 2
3. 2*2 = 4
<h2><em><u>
4. 4*2 = 8</u></em></h2><h2><em><u>
5. 8*2 = 16</u></em></h2>
Answer:
the following 3 equations are equivalent :
• x + 1 = 4
• 2 + x = 5
• -5 + x = -2
Step-by-step explanation:
2 + x = 5
x + 1 = 4
9 + x = 6
x + (- 4) = 7
-5 + x = - 2
Let’s take this equation :
x + 1 = 4
=======
By Adding 1 to both sides of the equation we get :
x + 1 + 1 = 4 + 1
⇔ x + 2 = 5
⇔ 2 + x = 5
Then the equations x + 1 = 4 and 2 + x = 5 are equivalent.
…………………………………………………………………
On the other hand ,if we subtract 6 from both sides
of the equation x + 1 = 4 we get :
x + 1 - 6 = 4 - 6
⇔ x - 5 = -2
⇔ -5 + x = -2
Then the equations x + 1 = 4 and -5 + x = -2 are equivalent.
Answer:
the graph
Step-by-step explanation:
