Answer:
Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance
Step-by-step explanation:
Data given
sample mean for group 1
sample mean for group 2
sample size for group 1
sample size for group 2
sample deviation for group 1
sample deviation for group 2
Solution
We want to check if the two means are equal so then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis: 
And the statistic is given by:
And replacing we got:
The degrees of freedom are given by:
And the p value would be:
Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance
Answer:
700
Step-by-step explanation:
1 meter = 100 cm
7x100=700cm
Answer:
In 50 years the amount will be $ 2000.
Step-by-step explanation:
Tiana deposited $500 into a account at 6 % simple interest per Year .
Therefore, Principal (P) is $500
Amount (Principal + Interest) = $2000
Interest (I) = $2000 - $500 = $1500
Rate percentage (R) = 6% per Year
Let, The time be T years
Now, I = 
Or, T = 
Or, T = (100×1500 ) ÷ ( 500× 6 )
<em> </em><em>∴ T = 50 Years</em>
<h2>
Hello!</h2>
The answer is:
The correct option is the first option:
<h2>
Why?</h2>
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at: 
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!
A ) cos² x · 1 / sin x - 1 / sin x = - sin x
cos² x - 1 / sin x = - sin x
- sin² x / sin x = - sin x
- sin x = - sin x ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x ( correct )
C ) cos² x - sin² x = 1 - 2 sin² x
1 - sin² x - sin² x = 1 - 2 sin² x
1 - 2 sin² x = 1 - 2 sin² x ( correct )
D ) 1/sin²x + 1/ cos²x = 1
cos²x + sin² x / sin² x cos² x = 1
1 / cos² x sin² x = 1
cos²x sin² x ≠ 1
Answer: D ) is not an identity.
