Answer:
c. 6.2i - 4.2j
Step-by-step explanation:
The vector projection when the angle θ not known can be calculated using the following property of the dot product:
Where the dot product of two vectors is given by:
And the magnitude of a vector is given by:
Using the previous definition, let's calculate the projection of w onto u:
First let's calculate the dot product between w and u:
Now let's find the magnitude of u:
So:
Therefore:
Answer:
a) 293 units
b) £57.95
Step-by-step explanation:
a)
New reading: 6538 units
Old reading
: 6245 units
The amount use is the difference between the two readings.
6538 - 6245 = 293
Answer: 293 units
b)
293 is the same as 200 units plus another 93 units.
The first 200 units are charged at 22p per unit
Cost of the first 200 units: 200 units * 22p/unit = 4400p
Remaining units are charged at 15p per unit
Cost of the additional 93 units: 93 units * 15p/unit = 1395p
Total charge: 4400p + 1395p = 5795p = £57.95
Answer: £57.95
Answer:
x = 13, y = 18
Step-by-step explanation:
Since it has a 90 degree angle and a 45 degree angle, it is an isosceles triangle, so x = 13.
Use Pyth Theorem to find y:
13^2 + 13^2 = c^2
169 + 169 = c^2
338 = c^2
18.384 = c
Answer:
6, 26
Step-by-step explanation:
because x is 6 so itll be -3(6)=-8
-3 times 8 is -26
y=-26
Answer:
a) 0.5233 = 52.33% probability of picking someone who has the disease.
b) 0.9091 = 90.91% probability of picking someone who tests negative, given that he/she did not have the disease
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
a) What is the probability of picking someone who has the disease.
132 + 25 = 157 people have the disease
132 + 25 + 13 + 130 = 300 people total
157/300 = 0.5233
0.5233 = 52.33% probability of picking someone who has the disease.
b) What is the probability of picking someone who tests negative, given that he/she did not have the disease?
143 people did not have the disease.
130 tested negative. So
130/143 = 0.9091
0.9091 = 90.91% probability of picking someone who tests negative, given that he/she did not have the disease
