If x = -2, y = 6.
To solve this quesiton, we need to find the value of y if x is equal to -2. We can do this by substiuting the value of x and then solving.
y = 2 (-2) + 10
y = -4 + 10
y = 6
Answer:
8 nickels and 9 dimes
Step-by-step explanation:
If all were dimes, the value would be $1.70. It is $0.40 less than that. Changing a dime for a nickel reduces the value by $0.05, so there must have been $0.40/$0.05 = 8 such changes.
There are 8 nickels and 9 dimes.
_____
<em>Check</em>
8 · 0.05 + 9 · 0.10 = 0.40 + 0.90 = 1.30 . . . the answer checks OK
Answer:
The distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. So Joe is not closer to the park or his house, he is in the middle.
Step-by-step explanation:
We consider that the ice cream shop is the zero value in the number line. We assume that going north is positive (right side of the number line) and going south is negative (left side of the number line).
The house position is 10 block north of the ice cream shop, so it is represented by the integer 10.
The park is 10 blocks south of the ice cream shop, so it is represented by the integer -10.
The lower absolute value of the integer, the closer position from the ice cream shop.
If we calculate the absollute value of the House position:
|10|=10
Then, we calculate the the absollute value of the Parkposition
|-10|=10
In conclusion, the distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. Joe is in the middle.
I think it’s 0.5, sorry if it’s wrong
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:
