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.
Answer:
17 512 dm3 27 28 dm3 37 43 dm3 47 52 92 cm3 57 42 m3
Step-by-step explanation:
17 volume= 8x8x8= 512 dm3
27 volume= 3.5x4x2= 28m3
37 volume= 4x2, 5x4.3= 43 dm3
47 volume= 18x14x21= 5292 cm3
57 volume= 4x3x3.5= 42 m3
the volume cuboid = length x width x height )
Hey there
So 330/11=30
<span>so the total cost is 30 $</span>
Answer:
24 Letters and 4 Postcards
Step-by-step explanation:
We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".
Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.
The second equation is the total sent: x + y =28.
Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.
We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.
If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.
Subtract 9.24 from both sides to get: 0.16y = 3.84
Divide both sides by 0.16 to get: y = 24.
Now we can plug this into x + y = 28 to see that x= 4.
You could make sure this is correct by solving for x instead of y and do the same process.
Hope this helps.
Answer:
Step-by-step explanation:
Two points are ( 8, 0 ) and (0 , - 4)
