<u>44%</u>
Sample space is 36C4
Now, we want to know all of the combinations that have 1 digit in it.
So, we can have one here:
1XXX
X1XX
XX1X
XXX1
But we have 10 different digits to choose from. So, we need to introduce the combination term, nCr, where n is a list of all digits and r is how many we want.
Since we only want one, we will need 10C1 for the number of digits. But we need to choose three lowercases, so it becomes 10C1 × 26C3
Since it's a probability question, we need to divide that by our sample space, 36C4, and our percentage becomes 44%
D, because two negative signs next to each other means to add so its pretty much 7/8+1/8 which equals 8/8 which also equals 1
Answer:
0 ≤ x ≤ 2
Step-by-step explanation:
A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.
In this question, the volume of the water is the dependent variable and the time taken is the independent variable. Let y represent the volume of the water and x represent the time taken. Therefore:
y = 0.75x
The domain of the function is the set of independent variable, it can be gotten by determining x when y is minimum and maximum. Hence:
For y = 0
0 = 0.75x
x = 0/ 0.75 = 0
For y = 1.5 gallon
1.5 = 0.75x
x = 1.5/0.75 = 2
Hence, the domain = 0 ≤ x ≤ 2
15x²+16x+4 =0 (ax² +bx +c=0)
Δ = b²-4ac =256 - 4×15×4 =16
x1 = (-b+√Δ) / 2a = (-16+√16) / 30 =( -16+4) / 30 = -12/30 = - 2/5
x2 = (-b -√Δ) / 2a = (-16 -√16) / 30 = (-16 -4) /30 = -20/30 = -2/3
Answer:
(-4, 5)
Step-by-step explanation:
Since the pint is reflected over the y-axis, its y-coordinate remains the same.
Point (4, 5) has 4 as its x-coordinate. That is 4 units right of the y-axis. The reflection has -4 as its x-coordinate which is 4 units left of the y-axis.
Answer: (-4, 5)
