Answer:
Kindly check explanation
Step-by-step explanation:
To test for Difference in mean times
Null hypothesis, H0 will be, there is no difference in mean times ; m1 = m2
Alternative hypothesis, there is difference in mean times ; m1 ≠ m2
Decision region :
When p value < α ; reject the Null
Here. ;
Pvalue = 2% = 0.02
α = 1% = 0.01
Pvalue > α
0.02 > 0.01
Since, Pvalue > α ; we do not reject the Null ;
Hence, conclusion should be, there is no difference in mean times of bus and car
Answer:
B. 10
Step-by-step explanation:
To find the answer we would plug each given number into x to see if it makes the equation true
<em>A. 2(5) = 20 </em>
<em> 10 </em>
<em> 20</em>
<em>B. 2(10) = 20</em>
<em> 20 = 20</em>
<em>C. 2(20) = 20</em>
<em> 40 </em>
<em>20</em>
As you can see, the only answer that makes the equation 2x=20 true, is answer B
Answer:
73°
Step-by-step explanation:
Given: BD=BE
∠DBE= 50°
∠EAC= 42°
DE//AC and AE=CD
Attach is the new drawn diagram with M point.
∵ we know BD=BE, ∴ ∠BDE=∠BED= x ( taking x as unknown angle)
Remember, sum of triangle= 180°
Now, ∠BDE+∠BDE+∠DBE= 180°
⇒ 
⇒ 
Subtracting both side by 50, then dividing both side by 2
∴
°
We know, ∠MAC= ∠MCA= 42° (∵AM=MC)
Next, ∠EDC=DCA= 42° ( ∵ Alternate interior angle as we know DE//AC )
Now, we have ∠EDC= 42°, ∠BDE= 65°
∴
° (∵sum of straight line= 180°)
⇒
°
⇒
°
Subtracting both side by 107
∴∠ADC=
°
∴∠ADC= 73°
The size of the fourth angel = 360 - ( 53 + 127 + 72 ) = 108
Answer:
smaller (t) = 2 and this in coordinates form (2,0)
larger (t) = 15 and this in coordinates form (15,0)
the vertex of the parabola =
or in decimals (8.5, 42.25)
Step-by-step explanation:
- For the zeros of the function take each bracket and make it equal to zero.
SMALLER (t):
(t-2)=0
(add 2 for both sides)
t=2
LARGER (t):
(t-15)=0
(add 15 for both sides)
t=15
- For the vertex of the parabola you do:
step1: expand the brackets:
f(t)=-(t-2)(t-15)
f(t)= 
step2: define a,b and c using the expression
:
a= -1 (the coefficient of
)
b= 17 (the coefficient of t)
c= -30 (the single number without a letter)
step3: sub the values in the formula
to find the x coordinate of the vertex :

= 
=
or in decimals 8.5
step4: sub the value of t (the x-coordinate) in equation f(t):
f(t)= 
f (
) = -
+ 17×
- 30
=
+
-30
=
or in decimals 42.25
(THIS IS A PICTURE OF THE GRAPH↓)