She reads one sixth each day because if she already read 5/6, divide that by five to get 1/6
Answer:
Percentage of students who scored greater than 700 = 97.72%
Step-by-step explanation:
We are given that the College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100.
Let X = percentage of students who scored greater than 700.
Since, X ~ N(
)
The z probability is given by;
Z = 
~ N(0,1) where, 
= 500 and 
= 100
So, P(percentage of students who scored greater than 700) = P(X > 700)
P(X > 700) = P( < 
) = P(Z < 2) = 0.97725 or 97.72% Therefore, percentage of students who scored greater than 700 is 97.72%.
Answer:
$3800
Step-by-step explanation:
When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points
y = 1200(x -2) +6200 . . . . . . . . . simplify some
y = 1200x -2400 +6200 . . . . . . simplify more
y = 1200x +3800 . . . . . . . . . . . . . completely simplify
When the number of years (x) is zero, the amount is 3800. The principal is $3800.
_____
The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.
_____
<em>Alternate solution</em>
You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...
$7400 -3600 = $3800 . . . . . principal amount
The choices you provided do not match the question!!!
Tickets ($25): x
T-shirts ($12): y
25x + 12y + 4 ≤ 130
Since she bought 3 tickets: 25(3) + 12y + 4 ≤ 130
75 + 12y + 4 ≤ 130
79 + 12y ≤ 130
12y ≤ 51
y ≤ 
y ≤ 4
Since you cant buy of a T-shirt, the maximum number of T-shirts she can purchase is 4.
Answer:
The third one
Step-by-step explanation:
The graphs in the reversed shape of a cup are the graphs of quadratic equations whose coefficient of
x^2 is negative.
So, the answer must be either the first or the third.
It can be seen that when x= -4, y becomes 5.
Substituting the value of x, the third equation gives the value 5.
So, the answer is the third one.
