Alicia: 43 miles/hour
Trish: 46 miles/hour
so Alicia drives at a slower rate
Answer:
a<-3
bc -3(-2)=6
so if u go lower which the next number would be -4(-2)=8 which is greaterthan 6
Step-by-step explanation:
Answer:
(4,4)
y = 4
x = 4
Step-by-step explanation:
First we need to input y = 1/2x + 2 into 4x - 2y = 8.
4x - 2 (1/2x + 2) = 8 <-- Then solve
4x - 1x + -4 = 8
3x - 4 = 8
+4 +4
---------------------
3x = 12
3 3
x = 4
Now we need to use x and apply it to find y.
y = 1/2x + 2
y = 1/2(4) + 2
y = 2 + 2
y = 4
Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.
You need to graph the point (4,4).
I hope this helps!
Answer:
d. Approximate the standard normal distribution with the Student's t distribution
(0.2199 ; 0.2327)
Step-by-step explanation:
Given that :
Sample size, n = 31
Sample mean, xbar = 0.2258
Sample standard deviation, s = 0.0188
Confidence interval (C. I) :
xbar ± margin of error
Margin of Error : Tcritical * s/sqrt(n)
Degree of freedom, df = n - 1 = 31 - 1 = 30
Tcritical value :
T0.05/2, 30 = 2.042
Margin of Error = 2.042 * 0.0188/sqrt(31)
Margin of Error = 0.0068949
C. I = 0.2258 ± 0.0068949
Lower boundary : (0.2258 - 0.006895) = 0.2189
Upper boundary : (0.2258 - 0.006895) = 0.2327
(0.2199 ; 0.2327)
Answer:
x = 8, y = 4
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = 
, thus
sin60° = 
= 
= ( cross- multiply )
x × 
= 8 ( divide both sides by )
x = 8
--------------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° = , thus
tan60° = 
= 
= ( multiply both sides by y )
4 = y × ( divide both sides by )
y = 4
