Answer:
Odds are 3 to 7
Step-by-step explanation:
The odds are defined as the probability that the event will occur divided by the probability that the event will not occur.
Let's find:
Probability of blue marble = 3/10 [ 3 blue and 10 in total]
Probabilty of NOT blue marble = 7/10 [7 marbles are red and green (not blue) and 10 in total]
Hence,
Odds of drawing a blue marble = 
The odds are 3 to 7
Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
Answer:Benny and Joan grew 7 watermelons Total
Answer:
The length of KL is 409.2 foot
Step-by-step explanation:
Firstly, please check attachment for diagrammatic representation.
From the diagram, we can see that we are asked to calculate the value of the hypotenuse KL. Kindly note that the hypotenuse is the longest side of the right-angled triangle and it faces the angle 90 at all times.
Looking at what we have, we can see that we have adjacent and we are asked to calculate hypotenuse.
The trigonometric identity to use here is the Cosine
Cosine = length of adjacent/length of hypotenuse
cos 76 = 99/hypotenuse
hypotenuse = 99/cos76
hypotenuse = 99/0.24192
hypotenuse = 409.22 which is 409.2 to the nearest tenth of a foot
To solve this problem, we first have to find the slope of the two given points. To find the slope, we have to use slope intercept form, which is y₂ - y₁ divided by x₂ - x₁. We substitute each variable for its corresponding value, and we'll get -2 - (-3) divided by 4-1. If we simplify the expression, we'll get 1/3. Next, we plug in the slope and one ordered pair into the equation and we get -3 = 1/3 * 1 + b. We should solve for b and we end up with -3 1/3 = b. Therefore, the equation is y = 1/3x - 3 1/3.