Answer:
0.0369
Step-by-step explanation:
normalcdf (1220,1320,900,200) is 0.0369
Answer:
no
Step-by-step explanation:
y = –5x + 4
Substitute the point into the equation
0 = -5(4) +4
0 = -20+4
0 = -16
This is not true so it is not a solution to the equation
Answer:
b. about 63.9 units and 41.0 units
Step-by-step explanation:
In question ∠a= 29° and Side of a= 15 and b= 20
Using sine rule of congruence of triangle.
⇒ 
⇒ 
Using value of sin 29°
⇒ 
Cross multiplying both side.
⇒ Sin B= 
∴ B= 41°
Now, we have the degree for ∠B= 41°.
Next, lets find the ∠C
∵ we know the sum total of angle of triangle is 180°
∴∠A+∠B+∠C= 180°
⇒ 
subtracting both side by 70°
∴∠C= 110°
Now, again using the sine rule to find the side of c.

⇒
Using the value of sine and cross multiplying both side.
⇒ C= 
∴ Side C= 28.92.
Now, finding perimeter of angle of triangle
Perimeter of triangle= a+b+c
Perimeter of triangle= 
∴ Perimeter of triangle= 63.9 units
Answer:
Choice C is correct.
Step-by-step explanation:
put point A in (x+1,y-3)
now (-6,4) becomes (-5,1).
put point C in (x+1,y-3)
now (2,1) becomes (3,-2)
put point B in (x+1,y-3)
now (-3,-2) becomes (-2,-5).
Answer:
Each knight will guard <u>288 minutes</u> in one day.
Step-by-step explanation:
Given:
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally.
Now, to find the minutes will each night spend on guard duty in one day.
As, in 1 hour there are 60 minutes.
Thus, in 24 hour there are 60 × 24 = 1440 minutes.
Total minutes for guarding = 1440 minutes.
So, there are knights ordered for guarding are = 5.
And each day's guard duty equally.
Now, to get the minutes will each night spend on guard duty in one day we divide the total minutes for guarding by number of knights that is 5:


Therefore, each knight will guard 288 minutes in one day.