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lys-0071 [83]
3 years ago
13

Given a bag of 5 blue, 3 green, and 8 red marbles.. What is the probability of picking a blue

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

b = 5, \: g = 3, \: r = 8

total = 5 + 3 + 8 = 16

p(b) =  \frac{5}{16}

p(g |without \: replacement|) =  \frac{3}{16 - 1}  =  \frac{3}{15}  =  \frac{1}{5}  \\

p(b \: and \: g) =  \frac{5}{16}  \times  \frac{1}{5}  =  \frac{1}{16}

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If a+b=10 and a×b =3 determine the value of a^4+b^4​
forsale [732]
A+b=10
Then : a=10-b

a*b=3 sub a
(10-b)*b=3
-b^2 + 10b= 3

-b^2 + 10b-3=0
b=
3 0
2 years ago
What is the equation of the quadratic function represented by this table?
Schach [20]

Step-by-step explanation:

y = a {(x - h)}^{2}  + k

vertex = (h \:  \:  \: k)

from the table

vertex = ( - 2 \:  \:  \: 4)

therefore

h =  - 2  \:  \: and \:  \: k = 4

y = a {(x  + 2)}^{2}  + 4

when x= 0, y = 3

3 = a {(2)}^{2}  + 4

3 = 4a + 4

a =  \frac{ - 1}{4}

therefore equation of the function

y =  -  \frac{1}{4}  {(x + 2)}^{2}  + 4

3 0
3 years ago
Determine the payback period (in years) for a project that costs $120,000 and would yield after-tax cash flows of $20,000 the fi
saveliy_v [14]

Answer: luis is 28

Step-by-step explanation:

first you need to set up an equation. if luis age is equal to four years added to colleens age we can substitute colleens age with a variable (i’m gonna use the letter c) and luis’s age for a different variable (i’ll use L). your equation would be C + 4 = L. our second equation would be both of their ages is equal to 52, giving us C + L = 52 as our equation. since our other equation tells us that what L equals (it would equal C plus 4), we can substitute out the L in the second equation for C + 4. the equations would change from C+L= 52, to C + C + 4 = 52. then we would solve like any regular equation for our variable. first we can simplify the 2 c’s together to get

2c + 4 = 52. next you would take your + four and do the opposite sign to both sides of the equation. so you do + 4 minus 4 and then 52 minus four. this leaves you with the equation 2c = 48. lastly you do the opposite function to both sides with your coefficient. you would do 2c divides by 2 (to cancel out your two because it’s being multiplied by c). and then 48 divided by 2 leaving you with C = 24. that tells us that colleens age is 24, and then you plug this into your first equation to get 24 + 4 = L telling you that luis’s age is 28. to fact check you would just add the two ages together to see if you got your total

number. these are called like two step equations with substitution i believe

7 0
3 years ago
What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2 (3, 1) (1, 3) (3, −1) (−1, 3)
ohaa [14]
Y - 4x = 7...y = 4x + 7
now sub 4x + 7 in for y in the other equation
2y + 4x = 2
2(4x + 7) + 4x = 2
8x + 14 + 4x = 2
12x = 2 - 14
12x = - 12
x = -1

y - 4x = 7
y - 4(-1) = 7
y + 4 = 7
y = 7 - 4
y = 3

solution is : (-1,3)
7 0
3 years ago
Read 2 more answers
Please try to answer quickly my brainly app is crashing
Ne4ueva [31]

The formula to calculate the lateral area of a cone is given by

LA=pi*r*l

where

LA=10.5pi in2

r=2.1 in

l=? slant height

substitute given values

\begin{gathered} 10.5pi=pi*2.1*l \\ solve\text{ for l} \\ l=\frac{10.5pi}{pi*2.1} \\  \\ l=5\text{ in} \end{gathered}<h2>The answer is 5 inches</h2>
3 0
1 year ago
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