Answer:
a) Option C) The score was 2.49 standard deviations higher than the mean score in the class.
b) 2.3%
Step-by-step explanation:
a) We are given that the distribution of test grades is a bell shaped distribution that is a normal distribution.
Formula:
Option C) The score was 2.49 standard deviations higher than the mean score in the class.
b) The z-score for a particular score is -2.
We have to evaluate
P(z < -2)
Calculating the value from normal z-table.
Thus, 2.3% of of the class scored lower than my friend.
Part (a)
The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.
A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.
====================================================
Part (b)
While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).
So we multiply each side length in the diagram by 3
- DE = 3*JK = 3*4.5 = 13.5
- EF = 3*KL = 3*3 = 9
- FG = 3*LM = 3*2 = 6
- GD = 3*MJ = 3*2.5 = 7.5
Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG
Let the price of flowers in September be x, then (100 + 20)/100 * x = $1.50
120/100 * x = $1.50
1.2x = $1.50
x = $1.50/1.2 = $1.25
The price of flowers in September is $1.25
Total money realised in September = $1.25 x 900 = $1,125
40% earned = 0.4 x $1,125 = $450
Total money realised in October = $1.50 x 700 = $1,050
40% earned = 0.4 x $1,050 = $420
The class earned more money in September and they earned $30 more than in October.
Answer:
169 quarters
Step-by-step explanation:
Recall that 1 quarter = 25 pennies, and so the conversion factor is
1 quarter
-------------------
25 pennies
Use this conversion factor to convert 4246 pennies into quarters:
1 quarter
------------------- * 4246 pennies = 169.84
25 pennies
Obviously we cannot get our hands on 0.84 quarters, so round the above result down:
4246 pennies = 169 quarters plus 21 leftover pennies.
Simple..
you have y which is the cost of the tickets..and you have x which is the number of tickets..
So, you have those points on the graph....find an equation!
Take any of those coordinates..and find the equation of the line...in the form of y=mx+b
(2,10) and (5,25)
Using:
Thus, you know your slope. m=5
But, remember it's in the form of y=mx+b
So, use any of the coordinates...let's use (2,10)
10=5(2)+b
10=10+b
0=b
Thus, your equation is... y=5x
Thus, your answer.
