Answer:
SA = 664 square inches
Step-by-step explanation:
Surface area is the area of all the sides added together. A prism has six sides.
Take the dimensions and change them so each of the numbers are multiplied with the others.
14 * 10 * 8
14 * 10 = 140
14 * 8 = 112
10 * 8 = 80
Multiply each answer by 2 because there are two sides that have the same dimensions.
14 * 10 = 140 * 2 = 280
14 * 8 = 112 * 2 = 224
10 * 8 = 80 * 2 = 160
Add the areas together.
280 + 224 + 160 = 664
SA = 664 square inches
4 weeks = 28 days,
ratio = 6:28,
simplified ratio = 3:14
Set this up like a right triangle with the height of the triangle as 30, the angle across from that side, the reference angle, as 55, and the base is your unknown, x. This means that we have the angle, the side across from it, and the side adjacent to it. That sounds like the tangent ratio to me! Tangent of the angle is the side opposite over the side adjacent:
. Solving for x:
. Do that on your calculator in degree mode to get that the distance between the base of the ladder and the wall is 21 feet
Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2
function y = x
slope of 1
y intercept at 0
x intercept at 0
Answer:0.29
Step-by-step explanation:
An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6
For poisson distribution,
P(x=r) = (e^-u×u^r)/r!
probability that four cell phones will be reported stolen tomorrow=
P(x=4)= (e^-6×6^4)/4!
= (0.00248×1296)/4×3×2×1
= 3.21408/24=
0.13392
P(x=5)= (e^-6×6^5)/5!
= (0.00248×7776)/5×4×3×2×1
= 19.28448/120
= 0.1607
probability that four or five cell phones will be reported stolen tomorrow
= P(x=4) + P(x=5)
= 0.13392 + 0.1607
= 0.294624
Approximately 0.29