What is the image point of ( 4 , − 6 ) (4,−6) after a translation right 5 units and up 4 units?
1 answer:
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Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:
And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed
Answer:
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
Step-by-step explanation:
At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.
Uniform probability distribution:
Has two bounds, a and b. The probability of finding a value higher than x is given by:
Red for 60 seconds
So when Jamal arrives it can change in any number of seconds between 0 and 60, that is,
Probability that he will have to wait at a red light for more than 15 seconds?
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
Richard is 14 years old and Teo is 6 years old.
Step-by-step explanation:
Let,
Richard's age = x
Teo's age = y
Combined age = 20 years
According to given statement;
x+y=20 Eqn 1
x = 2y+2 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 3
Putting y=6 in Eqn 2
Richard is 14 years old and Teo is 6 years old.
Keywords: linear equation, substitution method
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