Answer:
8 days.
Step-by-step explanation:
45/2=22.5 pages a day
180/22.5=8 days
Answer:
Suppose that every worker in a company received a $2300-per-year raise. How does this affect the mean salary
we will divide 2300 by 12months
which is 191.6
Answer:
The player's height is 3.02 standard deviations above the mean.
Step-by-step explanation:
Consider a random variable <em>X</em> following a Normal distribution with parameter <em>μ</em> and <em>σ</em>.
The procedure of standardization transforms individual scores to standard scores for which we know the percentiles (if the data are normally distributed).
Standardization does this by transforming individual scores from different normal distributions to a common normal distribution with a known mean, standard deviation, and percentiles.
A standardized score is the number of standard deviations an observation or data point is above or below the mean.
The standard score of the random variable <em>X</em> is:
These standard scores are also known as <em>z</em>-scores and they follow a Standard normal distribution, i.e. <em>N</em> (0, 1).
It is provided that the height of a successful basketball player is 196 cm.
The standard value of this height is, <em>z</em> = 3.02.
The <em>z</em>-score of 3.02 implies that the player's height is 3.02 standard deviations above the mean.
Answer:
y = 3/7x + 51
Step-by-step explanation:
y = 3/7x + 11 is parallel to the line so it means that both of their gradient are same so:
y = mx + c
m= gradient point = (-21 , 42)
= 3/7
now we sub the m and the point into the formula which is y= mx+c because we should find the c first then we can find the equation of the line:
42 = 3/7 (-21) + c
42 = -9 + c
42 + 9 = c
51 = c
c = 51
now you hv to rewrite again the equation become y= 3/7x + 51
So now your final answer is : y = 3/7x +51
The ticket price which will maximize the student's council is: C. $3.10.
<h3>What is price?</h3>
Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about Valley High School student council, we can logically deduce the following data:
- Total number of students = 420 students.
- Lowest ticket price = $2.00.
- Increase in ticket price = $0.20.
- Attendance = 20 fewer students
<h3>How to determine the ticket price?</h3>
Mathematically, the equation which model the profit is given by:
Profit = price × number of tickets sold
P(x) = (2 + 0.2x)(420 - 20x)
P(x) = 840 + 84x - 40x - 4x²
P(x) = -4x² + 44x + 840.
For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -44/2(-4)
Xmax = -44/-8.
Xmax = 5.5
Ticket price for maximum profit is given by:
Ticket price = 2 + 0.2x
Ticket price = 2 + 0.2(5.5)
Ticket price = $3.10.
Read more on maximized profit here: brainly.com/question/13800671
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