Answer:
12 days
Step-by-step explanation:
'd' = number of days
1/20d ≤ 3/5
multiply each side by 20 to get:
d ≤ 60/5 or d ≤ 12
There are 6 yellow, 9 blue, and 4 orange balls inside an urn. 8 balls are chosen from the urn without replacement. Let X, Y , and W denote the number of yellow, blue, and orange balls selected, respectively.
(a) Find P{X + W = 1}.
(b) Find P{X = 2, Y = W}
Using the probability concept, it is found that:
a) P{X + W = 1} = 0
b) P{X = 2, Y = W} = 0.0667
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the balls are chosen is not important, hence, the combination formula is used to find the number of outcomes.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In total, 8 balls are chosen from a set of 19, hence:
[tex]T = C_{19,8} = \frac{19!}{8!11!} = 75582[/tex]
Item a:
1 from a set of 15.7 from a set of 4.Not possible, hence:
P{X + W = 1} = 0
Item b:
2 from a set of 6.3 from a set of 9.3 from a set of 4.Hence:
[tex]D = C_{6,2}C_{9,3}C_{4,3} = \frac{6!}{2!4!} \times \frac{9!}{3!6!} \times \frac{4!}{3!1!} = 5040[/tex]
Then, the probability is:
[tex]p = \frac{D}{T} = \frac{5040}{75582} = 0.0667[/tex]
P{X = 2, Y = W} = 0.0667
A similar problem is given at https://brainly.com/question/15536019
Graph the solution of the inequality 3x+7>13
[tex]3x+7 > 13\implies 3x>6\implies x > \cfrac{6}{3}\implies x > 2[/tex]
Check the picture below, notice the line at x = 2 is dashed, or namely it doesn't include that value, because "x greater than 2" means 2.1, 2.2, 2.0001, 2.0000001 anything above but never 2.
I'm DJ music is my hobbies what about you:)
Answer:
Playing video games or sumthin
Two bike messengers, Jerry and Susan, ride in opposite directions. If Jerry rides at the rate of 20 km/h, at what rate must Susan ride if they are 150 kilometres apart in 5 hours? With chart
Answer:
10km/h
Step-by-step explanation:
speed = distance/time
s = 150/5
s = 30km/h
the total must be 30km/hr
less the 20km/hr that Jerry is going
is the speed Susan must go in the opposite direction
30 - 20 = 10
10km/h
i really need some help with these!
100 Points
Emily wants to buy turquoise stones on her trip to New Mexico to give to at least 4 of her friends. The gift shop sells small stones for $4 and large stones for $6, and Emily has no more than $30 to spend.
Write and graph a system of Linear Equations and write two possible solutions.
Answer:
Step-by-step explanation:
what is she going to buy? Small stones or big stones? if its small stones then she can buy 7 small stones. If its big stones then she can buy 5 big stones.
dear and kind community I have a question that urges me which is the following, let's imagine that there are 73 million coins that can be fractioned to a hexadecimal value of a minimum unit of 0.00000001 and would need 0.99999998 to reach a full unit of the coin 1, my question is what would happen if instead of this minimum hexadecimal number of coin 0.00000001 was a hundred 100=1? how many coins would exist if before it was 73 million with hexadecimals (0,00000001) now with a hundred it would be equivalent to one unit (1=100) how many coin units would there be? if now each unit would only be divided in hundreds and not in hexadecimals? thanks in advance to the one who responds.
Answer:
that have no answer so sorry
6^3 multiplied by (1/2)^3
Step-by-step explanation:
6³×(½)³
=> 216÷8 = 27.
hope this helps you.
Select the Ordered Pair which is a solution to the linear graph.
(8, 6)
(−8,−6)
(−8, 6)
Review the linear graph.
Answer:
point B (8, 6)
Step-by-step explanation:
Given the linear graph of a vertical line, x = 8:
The solution to the given linear equation is any ordered pair that is found along the line of the graph.
Out of the given options, point B, (8, 6) is located on the line. Therefore, it is one of the solutions to the linear equation, x = 8.
What is the equation of this line?
Answer:
y = x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-0}{1-0}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then
y = x ← equation of line
The graph of linear function fpasses through the point (1, -8) and has a slope of 2.
What is the zero of f?
-5
2
5
-2
Answer:
5
Step-by-step explanation:
set up point slope form
y + 8 = 2(x-1)
set y to zero
0+8=2(x-1)
8=2x-2
10= 2x
x = 5
Fast indeed help on this !! ( ty )
Answer:
32
Step-by-step explanation:
First, draw some line for about 4 lines in the double number line.
Now in the bottom, it counts by 15 according to the word problem.
And in the top, count by 8.
Now finally, if you reach 60, write your final number. 32.
woohoo you did it lol
-7(8) What is it please help me I need help help help help
which option is correct?
Answer:
Option D
Step-by-step explanation:
It is a right triangle because AB ⊥ BC
Complete the table for the value of each digit in 123.
Answer:
1,2,3,4,5,6,7,8,9,10
2,4,6,8,10,12,14,16,18,20
3,6,9,12,15,18,21,24,27,30
Step-by-step explanation:
Question 2 of 33
Which of the following is equivalent to the expression below when x20?
VP+ √25x² – 5xfx
O A. 11x/
В. xx
C. 1268- 5x
D. 67-5xxx
SUBMIT
The graph of a linear function has a negative slope. Describe the end behavior of this function.
As the value of x increases, the value of y [ A. decreases , B. increases ].
As the value of x decreases, the value of y [ A. decreases , B. increases ].
Answer:
1. A
2. B
Step-by-step explanation:
It would look like y = -m(x) + b.
For example, m is 1 and b is 0. (You can try any random numbers, but I tried to find the simplest one so it's easy for us to see.) The equation will be y= -x. (you can substitute random numbers in here, too)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
As you can see from the example,
If the value of x increases, the value of y will decrease and vice versa
For the negative slope equation y = -x as the value of x increases y decreases.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
Given that the graph of a linear function has a negative slope. Suppose the equation with a negative slope is y = -x.
It would look like y = -m(x) + b.
As an illustration, m is 1 and b is 0. (You can try any random number; however, I looked for the most straightforward one so that we could easily observe it.) It will be written as y=-x. (You can also omit this and use random numbers)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
Therefore, for the negative slope equation y = -x as the value of x increases y decreases.
To know more about slopes follow
https://brainly.com/question/3493733
#SPJ2
find the integral.......
Answer:
1/5(2ln|x|+3*5^1/3)+c
Step-by-step explanation:
I NEED HELP ASAP PLEASE HELP! AT BATTING PRACTICE TJ HAD 20 BASEBALLS PITCHED TO HIM HIT HIT THE BALL 7 TIMES! WHAT PERCENT OF THE BALLS DID TJ HIT?
In type 1 diabetes, the immune system attacks certain cells in the pancreas.
Question 2 options:
True
False
Answer:
True
Step-by-step explanation:
The person's immune system specifically targets beta cells disrupting the production of insulin.
HELP!!!! What are the domain and range of the exponential growth function
a . Domain x>-3; Range: All real numbers.
b . Domain: All real numbers; Range: All real numbers.
c . Domain: x>-3; Range: y> -3
d . Domain: All real numbers; Range: y>-3
Step-by-step explanation:
D is the right answer.
remember, the domain is the interval or set of all valid values of x (the input variable). that means the values from left to right. there is no limitation visible. especially not around x = -3.
the range is the interval or set of valid values of y (the result variable). that means the values from bottom to top. and here we see, that the function never goes below y=-3.
these 2 facts make D the right answer.
Simplify the linear expression.
−5/3a+1/8−1/6a−1/2
Enter your answer as simplified fractions in the boxes.
PLEASE HELP
What is 100% of 63?
PLEASE ANSWER QUICKLY
Answer:
100 percent of 63 is 63
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
100 x 63 /100 = 63
Y=4x+8 y=-x-7 solve by substitution
Step-by-step explanation:
Alrighty! here you go image.
Answer:x=15
Step-by-step explanation:
how to do surface area
Answer:
Step-by-step explanation:
Multiply the length and width, or c and b to find their area. Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
Would anyone be able to help with this? on my review and not sure how to do it
90 degrees - 78 degrees = 12 degrees
cofunction of sin is cos
answer : cos12
2.
Fit a quadratic function to these three points:
(−2, 8), (0, −4), and (4, 68)
A. y = −2x2 − 2x − 4
B. y = 4x2 + 2x − 4
C. y = −4x2 − 2x − 4
D. y = −2x2 + 2x − 4
Answer:
It's C.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just put the x and y values into the equations and see which equation stays true.
for example, point (4, 68) rules out A and C even without detailed calculation, because these 2 expressions can produce for positive x only negative y (and 68 is clearly a positive y).
so, when using this point in B :
68 = 4×4² + 2×4 - 4 = 4×16 + 8 - 4 = 64 + 8 - 4 = 68
correct.
and it is correct also for the other points.
so, B is the right answer.
Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round two places past the decimal
Answer:
$199.89
Step-by-step explanation:
The bike costs 266.52
The parents are contributing one fourth of this (1/4)
We need to find 1/4th of 266.52
Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike
The answer is 66.63
Now subtract 66.63 from 266.52
Justin has to pay a total of 199.89
The equilateral triangle with side 12 has altitude
so, she was making $9/hr, then she's da bomb so she got a raise of 150%.
making 150% over that amount means more than that amount, so her raise was 150%, congrats to Maria.
if we take 9 to be the 100%, then adding 150% to that will be 100% + 150% = 250%.