Probablity of selecting a red marble= 35%
Probablity of not selecting a red marble= 100%-35%
=65%
Hope it helps you. Please mark brainliest.
<span>For a rotation of 90o: (x, y) ⇒ (–y, x)
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)
see the attached figure
</span>
Hey there!
Let's call this "number" x. We want four times the sum of this number and 15 to equal at least 120.
Therefore, we want this number times four plus fifteen to be greater than or equal to 120. We have:

Distribute:

Subtract:

Divide:

Your answer is C.
Hope this helps!
I) 156 degrees
The exterior angle is 180-156
=24
The number of sides=

The number of sides= 15 sides
ii) 162 degrees
The exterior angle= 180-162
=18
The number of sides=

= 20 sides
Answer:
a) 
b) 
c) 
d) 
And we can find this probability with this formula from the Bayes theorem:
Step-by-step explanation:
For this case we assume that the random variable X follows this distribution:

Part a
The probability density function is given by the following expression:


Part b
We want this probability:

And we can use the cumulative distribution function given by:

And replacing we got:

Part c
We want this probability:

And we can use the CDF again and we have:

Part d
We want this conditional probabilty:

And we can find this probability with this formula from the Bayes theorem:
