Answer:
0.8224
Step-by-step explanation:
Data
- standard deviation, sd: $10
- first value of interest, x1: $63
- second value of interest, x2: $90
z-score for x1:
z1 = (x1 - mean)/sd = (63 - 76)/10 = -1.3
z-score for x2:
z2 = (x2 - mean)/sd = (90 - 76)/10 = 1.4
The proportion of wrist watch prices are between $63 and $90 is:
P(z1 < z < z2) = P(z < 1.4) - P(z < -1.3)
P(z < 1.4) = 0.9192 (see first picture attached)
P(z < -1.3) = 0.0968 (see second picture attached)
P(z1 < z < z2) = 0.9192 - 0.0968 = 0.8224
Answer:
y=18.2 x=5.6
Step-by-step explanation:
sin 73 = y/19
19 sin 73 = y
cos 73 = x/19
19 cos 73 = x
Answer:
-1
Step-by-step explanation:
so firstly we solve by integrating by parts.
lnX × X - the integral of x/x
so the integral is Xln(X) - X
so the value should converge at -1
Answer:
1. 6n - 15
2. x + 10
3. -4d + 15
4. true, associative property
5. distributive, commutative
Step-by-step explanation:
1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20
2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms
3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms
4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up
5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer
Answer:
y = mx + c
m = -4
at y intercept x = 0
(x,y) =(0,-3)
-3 = -4(0) + c
c = -3
therefore the answer is y = -4x + c
