Answer:
a) Grade = 93, Standard score = 1.5
Grade = 62, Standard score = -1.6
b) Standard scores = 0.6, Grade = 84
Standard scores = 1.2, Grade = 90
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 78
Standard Deviation, σ = 10
Formula:
a) Grade = 93
Grade = 62
b) We have to find grades of student
Standard scores = 0.6
Grade = 84
Standard scores = 1.2
Grade = 90
Answer: 45
Step-by-step explanation:
Answer:
<em>Number of story books bought = 100
</em>
<em>
C.P. of each book = Rs. 135
</em>
<em>
C.P. of all 100 books = Rs. (135×100)= Rs. 13500
</em>
<em>
C.P. of 90 books = Rs. (135×90)= Rs. 12150
</em>
<em>
Number of books donated = 10
</em>
<em>
Number of books sold = 100-10=90
</em>
<em>
Loss% in the transaction = 2%
</em>
<em>
S.P. of all books = (C.P./100)(100-loss%)
</em>
<em> =Rs. (12150/100×98)
</em>
<em>
Thus, S.P. of each book
</em>
<em>
= Rs. {(12150/100×98)÷90}
</em>
<em>
= Rs. (12150/100×98/90)
</em>
<em>
= Rs. 132.3</em>
Answer:
POQ = 86 degrees
Step-by-step explanation:
NOQ = 123
NOP = 37
123 - 37 = 86
POQ = 86 degrees
Answer:
The boat is approximately 338.74 feet from the base of the cliff. If the problem suggests rounding to the nearest whole number, you should use 339 ft.
Step-by-step explanation:
Let's draw the right angle triangle associated with the problem (see attached image). Notice that the 305 ft height corresponds to the "opposite side" to the given acute angle of 
, and that the distance we need to find is the "adjacent" side to the given acute angle. Therefore, the appropriate trigonometric function to use is the "tangent", given that from it we can solve for the unknown adjacent side "x":
