Answer:
Step-by-step explanation:
A=2i+3j+4k
B=i-2j+3k
Sum of the vectors:
A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k
Direction of the sum of the vectors:

<h3>
<u>Explanation</u></h3>
We have the given slope value and the coordinate point that the graph passes through.

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>

The value of b is 6. We substitute the value of b in the equation.

We can also use the Point-Slope form to solve the question.

Given the y1 and x1 = the coordinate point value.
Substitute the slope and coordinate point value in the point slope form.

<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>

<h3>
<u>Answer</u></h3>
<u>
</u>
Answer:
4.4% of the population with IQ between 120 and 125.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 15
We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.
a) Let X be a person's IQ score.
Then, density functions for IQ scores is given by:

b) P(population with IQ between 120 and 125.)
Formula:



Answer:
y=1/3, x=4/9
y=8, 32/3
x=9, y=27/4
y=20, x=80/3
Step-by-step explanation:
Answer: 3400
Step-by-step explanation:
We have, 5% × x = 170
or,
5
100
× x = 170
Multiplying both sides by 100 and dividing both sides by 5,
we have x = 170 ×
100
5
x = 3400
If you are using a calculator, simply enter 170×100÷5, which will give you the answer.