The insurance period must be chosen so that the probability of a microchip failure within that period is 4%. Reference to a standard normal distribution table shows that the z-score for a cumulative probability of 4% is -1.75.
Let the insurance period be X months:
-1.75 = (X - 93)/3.8
-6.65 = X - 93
X = 83.35 months.
The answer is 83.35 months.
Answer:
d. parabola, 0°
Step-by-step explanation:
y² + 8x - 0
y² = -8x
Where x = cos t , y = sin t
Sin² t = -8 Cos t
1 - Cos² t = -8 Cos t
- Cos² t + 8 Cos t + 1 = 0
t = 2лπ ± (3 + √10) , л∈Z
Angle of rotation
Answer: 0.5
Step-by-step explanation:
Given : Adult male heights have a normal probability distribution .
Population mean : 
Standard deviation: 
Let x be the random variable that represent the heights of adult male.
z-score : 
For x=70, we have
Now, by using the standard normal distribution table, we have
The probability that a randomly selected male is more than 70 inches tall :-
Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5
Answer:
(-2,-2)
Step-by-step explanation:
for question number 15...cordinated grid shows each equation...first equation is represented by straight line going upwards through +4 in y axis...(y=3x+4)...
point is....every point in this two lines represent a possible x and y value for each equation...and there is a point where these lines meet each other....in that point...x and y values are possible values for both equations.so answer is (-2,-2)...this cordination satisfy each pairs of equation...you can try using -2 for x in both equations and get -2 as the answer for y...that proves the point..try it for 16 quiz.good luck
Answer:
The constant of proportionality is 6
Step-by-step explanation:
Recall the equation for direct variation is 
where 
varies directly with 
and 
is the constant of proportionality. If we take any listed coordinate point, we can determine the value of . I will use (20,120) as an example:
Therefore, the constant of proportionality is 6
