Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
The changes in Z would be = 6.1× 10^-4.
<h3>Calculation of the unknown value</h3>
Z = Sin (x³ +y³)
Where X = 0.3
y = 0.2
Z= Sin ( 0.3³ + 0.2³)
Z= Sin ( 0.027 + 0.008)
Z= Sin ( 0.035)
Z= 6.1× 10^-4
Therefore, the changes in Z would be = 6.1× 10^-4.
Learn more about multiplication here:
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H ( x ) = - 6 + x
m = 1 ( the slope )
b = - 6 ( y - intercept )
x - intercept:
0 = - 6 + x
x = 6
The graph is going through Quadrants: I, II and IV.
Answer:
B ) Quadrant II, because the slope is positive and y-intercept is negative.
Answer: yes, it is a smaller temperature, which means that is "colder"
Step-by-step explanation:
I guess that the question is:
Is -10°F colder than - 4°C?
Ok, when we have a temperature T in Celcius, the equation to transform this quantity to the Fahrenheit scale is:
T' = (T*9/5) + 32°
Replacing T by the temperature in celcius, we get:
T' = (-4°*9/5) + 32° = 24.8°F
This means that -4°C is equivalent to 24.8°F
And -10°F is a smaller value than 24.8°F (which mean that is colder)
This implies that -10°F is colder than -4°C
Then the statement is true.
Part A: it is linear because it is not curving and it consists of straight lines.
Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.
Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.
Hope this helps!!!
