Answer:
he defenition of a rectangle is that it has 4 angles that measure 90 degrees
ther are infinite legnths and inifinite numbers
intinite side legnths so infinite number of unique rectanglesStep-by-step explanation:
Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let <em>X</em> represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that <em>X</em> follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (<em>X</em>) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (<em>X</em>) = n × P (<em>X</em>)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
We can answer this question using sine rule, as I'm sure you're aware of since you have drawn out the opposite angles and sides.
In case you need reminding, the sine rule is as follows:

Using the information you have provided, we can set A to be x, a to be 33 (as it's the opposite), B to be 102, and b to be 73 (again, as it's the opposite).
If we plug these values in to the sine rule, we get:

Now all we have to do is rearrange to find X.

to 1DP
Answer:
the answer is 11.314285714