Answer:
Step-by-step explanation:
While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated that the distribution of the student test scores are normally distributed with a mean of 79.13 and a standard deviation of 6.34. What is the probability that the student scores less than 60.11
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
z = 60.11 - 79.13/6.34
Answer: Commission rate = $30.72
Step-by-step explanation: For this problem we want to find the commission rate for sales that are a total of $768. The commission rate is 4%.
Convert 4% to a decimal. 4/100 = 0.04.
Now, multiply the sales by the decimal 0.04 to find the commission rate.
768 x 0.04 = 30.72, or $30.72 for the commission rate.
Answer:
<h2>4</h2>
Step-by-step explanation:
A complex number in its rectangular form is expressed as x+iy where x is the real part of the complex number and y is the imaginary because it is attached to the imaginary number i.
Given the complex number 4-5i, comparing the complex number with x+iy
4 = x and iy = -5i
Hence x = 4 and y = -5.
Since x is the real part of the complex number x+iy,<em> hence 4 will be the real part of the complex number 4-5i based on comparison. </em>
Answer:
1,539
Step-by-step explanation:
Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to
where
<em>Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9)
</em>
<em>p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35
</em>
<em>q = 1-p = 0.65
</em>
<em>e = the error proportion = 2% = 0.02
</em>
Making the calculations
So, the sample size should be 1,539 young urban people (ages 21 to 35 years)
-6 ≥ 10 - 8x Subtract 10 from both sides
-16 ≥ -8x Divide by -8 to both sides
x ≥ 2 your answer is c
