M∠S = 45°; m∠T = 90°; m∠Q = 45°
Explanation
Since ST⊥TQ, this means that m∠T = 90°.
This means that m∠S+m∠Q = 180-90 = 90°.
Since ST = TQ, this means that the other two angles, formed by the legs and the hypotenuse, must be congruent. 90/2 = 45° for each angle.
Answer:

And using the probability mass function we got:
Step-by-step explanation:
Let X the random variable of interest "number of times that 6 appears", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And using the probability mass function we got:
Answer:
- 35 grams of 11.43% solution
Step-by-step explanation:
The end solution has same volume as initial volumes of mixture.
The concentration of solution is calculated as below
- 10*0.15 + 25*0.1 = 4 g
- 4 / 35*100% = 11.43% (rounded)
Answer:
-44y+30
Step-by-step explanation:
24 - 12y - 32y + 6
Add similar elements: -12y - 32y= -44y
= 24 - 44y + 6
Group like terms.
= -44y +24 + 6
Add the numbers: 24 + 6 = 30
= -44y + 30