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igomit [66]
3 years ago
12

Two parallel lines are cut by a transversa

Mathematics
1 answer:
Strike441 [17]3 years ago
8 0
What is the question?
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Which statement is true? the probability of randomly selecting a student who has a favorite genre of drama and is also female is
tankabanditka [31]

The correct statement is that the probability is B. Event F for female and event D for drama are independent events.

<h3>What are independent events?</h3>

It should be noted that two events are independent when the occurence of one doesn't affect the probability of another one occuring.

The probability of females will be:

= 3/5 = 0.6

The probability of drama will be:

= 40/240 = 0.167

In this case, they're both independent.

Learn more about probability on:

brainly.com/question/24756209

#SPJ4

7 0
2 years ago
A triangle with sides of lengths 9, 22, and 24 is a right triangle
Leona [35]

Answer:

The statement is false

Step-by-step explanation:

we know that

if the triangle is a right triangle

then

the triangle must satisfy the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

we have

c=24\ units

a=9\ units

b=22\ units

substitute

24^{2}=9^{2}+22^{2}

576=81+484

576 \neq 565

therefore

Is not a right triangle

The statement is false

4 0
3 years ago
Find the values of m for which the lines y=mx-2 are tangents to the curve with equation y=x^2-4x+2
deff fn [24]

Let y= mx-2 be the tangent line to y=x^2-4x+2 at x=a.

Then slope, m=\frac{dy}{dx} at x=a = 2a-4.

Hence the equation is y=(2a-4)x-2

Let's find y-coordinate at x=a using tangent line and curve.

Using tangent line y at x=a is (2a-4) a -2 =2a^{2}-4a-2

Using given curve y-coordinate at x=a is a^{2}-4a+2

Let's equate these 2 y-coordinates,

 2a^{2} -4a-2 = a^{2} -4a+2

2a^{2}-a^{2} = 2+2

a^{2}=4

a=2 or -2.

If a=2, m=2a-4 = 2*2-4=0

If a=-2,m= 2(-2)-4 = -8

Hence m values are 0 and -8.

8 0
4 years ago
If f(x) = -9x – 7, then f-'(x) =<br> Enter the correct answer.
Debora [2.8K]
The derivative would be f'(x)= -9
6 0
3 years ago
1. Edgar’s credit card had an interest rate of 9 3
Anna71 [15]

9514 1404 393

Answer:

  8 1/4%

Step-by-step explanation:

Add the change to the initial rate to find the new rate:

  9 3/4% -1 1/2% = 8 1/4%

3 0
3 years ago
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