Answer:
x<52
Step-by-step explanation:
I added 21 to both sides
Ansley should invite a minimum of 15 guests.
$500 - $130 = $470 / 25 = 14.8 but she needs to be over the amount so
15 guests is the answer
I hope this helps :)
Using the Empirical Rule, it is found that the interval in which approximately 978 students scored was:
A. 72 < x < 88.5.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The percentage that 978 is of 1200 is:
978/1200 x 100% = 81.5%.
Considering the symmetry of the normal distribution, two outcomes are possible involving 81.5% of the measures:
- Between one standard deviation below the mean and two above, which in the context of this problem is between 77.5 and 94.
- Between two standard deviations below the mean and one above, which in the context of this problem is between 72 and 88.5, which is option A in this problem.
More can be learned about the Empirical Rule at brainly.com/question/24537145
#SPJ1
The graph of this sinasoid wave is B) f(x) = 3cos(x) + 3
We can tell this for two reasons. Firstly, the multiplier in the beginning is always equal to half of the height of the graph. Since the graph goes as high at 6 and as low as 0, we know the overall height is 6. Half of that is 3. This means that we have a 3 for the multiplier.
Next, we can decide between sin and cos by determining that it starts up and ends down. Sin starts moving up at the beginning and cos moves up at the beginning. Therefore, it must be the cos.
A central angle is an angle made by 2 radii. Seeing as they want the measure of the angle that represents industry pollution, that would be 40% of the total 360 degrees.
40% = 0.4
0.4 × 360 = 144
The measure is 144 degrees.
