Answer:
Yes it is, You can rearrange the expression to find that y is uniquely determined in terms of x, therefore a function.
Step-by-step explanation:
(5x7)-9 Thisis because product means multiply "Of" mean sa smaller equation. therefor you need the (...) then 9 less than is minus but it has to go after the product since it's subtraction
Answer:
<h3>lt = lo/cos²θ</h3>
Step-by-step explanation:
Given the intensity of the transmitted light It and θ are related by the equation Cosθ= √ Io/It, we are to write lt as a function of lo
Given the equation
Cosθ= √ Io/It
Let us make lt the subject of the formula;
square both sides of the equation
(Cosθ)²= (√ Io/It)²
cos²θ = lo/lt
cross multiply
ltcos²θ = lo
divide both sides by cos²θ
ltcos²θ/ cos²θ= lo/cos²θ
lt = lo/cos²θ
Hence the expression of lt as a function of lo is lt = lo/cos²θ
Answer: y=7x
Step-by-step explanation:
To find the line that is parallel to the given line, we know that the slope will stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST stay the same. All we have to do is plug in the given point to find the y-intercept.
y=7x+b
0=7(0)+b [multiply]
b=0
Now, we know the equation is y=7x+0 or y=7x.
Using the principle of binomial probability, the probability of having exactly two black cards is 0.3125
- <em>Probability</em><em> </em><em>of</em><em> </em><em>having</em><em> </em><em>a</em><em> </em><em>black</em><em> </em><em>card</em><em> </em><em>=</em><em> </em><em>26</em><em>/</em><em>52</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em>
<u>Using the binomial probability relation</u> :
- P(x = x) = nCx * p^x * q^(n-x)
- <em>p</em><em> </em><em>=</em><em> </em><em>probability</em><em> </em><em>of</em><em> </em><em>success</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em>
- <em>Number of</em><em> </em><em>picks</em><em>,</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>5</em>
- <em>q</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>-</em><em> </em><em>p</em><em> </em><em>=</em><em> </em><em>0.5</em><em> </em>
- <em>x</em><em> </em><em>=</em><em> </em><em>2</em><em> </em>
Hence,
P(x = 2) = 5C2 × 0.5² × 0.5³
P(x = 2) = 10 × 0.25 × 0.125
P(x = 2) = 0.3125
Hence. Probability of having exactly 2 black cards is 0.3125
Learn more : brainly.com/question/12474772