f(x) represents the total number of pages Antonia has read; x represents the number of days
Answer:B: 36°
Step-by-step explanation:
We know that ∆ABC is isoceles, making (angle)<ABC and <BCA congruent because base angles of isoceles triangles are congruent.
Because we have parallel lines, we can look for alternate interior angle pairs. <BCA is congruent to <DAC because they're alternate interior angles.
If <BCA is x then so is <ABC.
Since triangles add up to 180° we can add all of the angles (3x+x+x) and set it equal to 180.
3x+x+x=180
5x=180
x=36
If we were looking for <BAC we would plug that back in and solve, but we're looking for <BCA which is equal to x, therefore m<BCA=36°
Answer:
5 movies because for 4 movies equals a coupon
Answer:
1) $8000
2) $1000
3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
Step-by-step explanation:
We have the equation y = -1000x + 8000 which follows the linear equation:
y = mx + b, where m is our slope and b is our y-intercept
1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start
2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account
3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.
0 = -1000x + 8000
-8000 = -1000x
8 = x
It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL
a) For x < 210:
From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001
b) For x > 205:
For x < 215:
P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009
c) For x < 200:
From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001
d) For x > 222:
From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999
