Answer:
Option c, 35
Step-by-step explanation:
<A and <B are supplementary,
so, <A+<B = 180
or, 3x-9+2x+14=180
or, 5x+5=180
or, 5x=175
or, x=35
Answered by GAUTHMATH
The directions of travel are at right angles to each other, so the Pythagorean theorem can be used to find the straight-line distance to the starting point. That distance (d) satisfies ...
d² = 65² +102²
d = √(4225 +10404) = √14629 ≈ 120.95
The appropriate choice is ...
... c. 121 miles
Let's solve for x --
Isn't it always a little easier to solve a math problem with starting by rewriting the equation?
3/8x + 15/2 = 8
Step 1) Subtract 15/2 from both sides
3/8x + 15/2 - 15/2 = 8 - 15/2
3/8x = 1/2
Step 2) Multiply both sides by 8/3
(8/3) × (3/8x) = (8/3) × (1/2)
x = 4/3
FINAL ANSWER -
x = 4/3
↑ ↑ ↑ Hope this helps! :D
Answer:
#1 is 2
#2 is -2/3
#3 is -2/5
#4 is -1/2
#5 is 4
#6 is 1
Step-by-step explanation:
I hope this helps
Answer:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
Step-by-step explanation:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always