Answer:
Yes
Step-by-step explanation:
This is because the first point in the parenthesis is x and the second is y. If we know this, we can substitute -5 in for x and -6 in for y to get that -15 - (-12) > -4. When you subtract by a negative number, it is the same as adding by that number, so -15 - (-12) = -15 + 12, so we get that -3 > -4. This is true because when you have negative numbers, the lesser negative number is the greater one (Ex. -5 > -6).
Answer:
a=2
b=6
Step-by-step explanation:
Assuming a uniform distribution and that a ≤ x ≤ b, if f(x) = 1/4, then:

If P(X > 4) = 1/2, then:

The values for a and b are, respectively, 2 and 6.
Answer:
33.3%
Step-by-step explanation:
Let's say the percent change is x%. Then the equation is:
30 + x% * 30 = 40
Subtract 30 from both sides:
x% * 30 = 10
Divide by 30:
x% = 10/30 = 1/3
Remember that % simply means "out of 100", so:
x/100 = 1/3
Multiply both sides by 100:
x = (1/3) * 100 = 33.3%
Answer: 6 recipes
Step-by-step explanation: Just divide the 6 cups of buttermilk by 7/8 because each recipe need 7/8 cup of butter milk. You will get a number like this 6.857142857142857 (there are probably more decimals that come after it.) But, all the numbers after the 6 are useless because more recipes can't be made with those because you need at least 7/8 cups for one recipe. So, this will make 6 recipes. Hope this helps!
Answer: A B
Group 1 0.25 0.75
Group 2 0.44 0.56
Step-by-step explanation:
Since we have given that
Number of people of A in group 1 = 15
Number of people of B in group 1 = 45
Total number of people in group 1 is given by

Relative frequency of people of A in Group 1 is given by

Relative frequency of people of B in Group 1 is given by

Similarly, Number of people of A in group 2 = 20
Number of people of B in group 2 = 25
Total number of people in group 2 is given by

Relative frequency of people of A in Group 2 is given by

Relative frequency of people of B in Group 2 is given by

Hence, A B
Group 1 0.25 0.75
Group 2 0.44 0.56