Answer:
a)i)1/16
ii)5/36
b)i)5/96
ii)20/69
Step-by-step explanation:
a) i) 6/24 =1/4
1/4*1/4=1/16
a)ii)8/24=1/3 10/24=5/12
1/3*5/12=5/36
b)i) 5/24*1/4=5/96
ii) 1/3*10/23=10/69
5/12*8/23=40/276=20/138=10/69
10/69+10/69=20/69
The probabilities are; 1/16, 5/36, 5/96 and 20/69
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.
a) With replacement:
i) The probability that both will be red =
6/24 =1/4
1/4x1/4=1/16
ii) The probability of getting one black and a yellow =
8/24=1/3 10/24=5/12
1/3x5/12=5/36
b) Without replacement;
i) The probability of getting both red =
5/24x1/4 = 5/96
ii) The probability of getting one black and a yellow =
1/3x10/23 = 10/69
5/12x8/23 = 40/276 = 20/138 = 10/69
10/69+10/69 = 20/69
Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69
For more references on probability, click;
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Help please ASAP please I’ll mark you as brainlister
Answer:
a = 4
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
hypotenuse = a
opposite = 2√3
adjacent = b
theta = 60°
the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a
[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]
[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]
[tex]4 = a[/tex]
[tex]a = 4[/tex]
Which value for s will make this equation true?
s(11 - s) = 24
which number line shows the best solution for n>3
Answer:
Open circle on 3 and an arrow going to the right of 3
Step-by-step explanation:
7 times 6=30+? Anyone help please do
Answer:
12
Step-by-step explanation:
7(6)=30+x
42=30+x
12=x
What is -3 + 4 is it 1, -1, 7 or -7?
Answer:
The Answer Is 1
Step-by-step explanation:
Because if you take -3+4 you get 1
Use the diagram to prove that ∆CAS≅TAS.
The two-column proof that shows that ΔCAS ≅ ΔTAS by HL Congruence Theorem is shown in the table attached below.
What is the HL Congruence Theorem?The HL Congruence Theorem is used to prove two right triangles congruent if both triangles have a pair of congruent hypotenuse and a pair of congruent legs.Thus, ΔCAS and ΔTAS both have a pair of congruent legs and a pair of congruent hypotenuse. Therefore, the two-column proof that shows that ΔCAS ≅ ΔTAS by HL Congruence Theorem is shown in the table attached below.
Learn more about the HL Congruence Theorem on:
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Super Grocery Store paid its cashiers $6.75 an hour. Since the store has come under new management, the cashiers make 25% more an hour. How much do the cashiers currently make an hour? Round answer to the nearest hundredth
Answer:
The current hourly pay is $8.44 approx
Step-by-step explanation:
Step one:
given data
Super Grocery Store paid its cashiers $6.75 an hour
We are told that the cashiers make 25% more an hour
Required
The cashier's current hourly pay
Step two:
the current hourly pay will be
former pay + 25% of former pay
=6.75+0.25*6.75
=6.75+1.6875
$8.437
=$8.44 approx
I do draws a blueprint of a house using the scale 1 in equals 6 ft in the kitchen has a length of 24 ft what is the length of the kitchen on the blueprint
Answer:
Length of kitchen on blueprint = 4 in.
Step-by-step explanation:
Scale used to draw a blueprint of a house :
6 feet = 1 in.
Therefore, 1 feet = [tex]\frac{1}{6}[/tex] in.
If the length of kitchen = 24 feet
Then the length of kitchen on the blueprint will be
= [tex]\frac{1}{6}\times 24[/tex]
= 4 in.
Therefore, length of kitchen on blueprint is 4 in.
Find the x- and y-intercepts of
3x – 4y = 24
Gracelyn has 3 more children than Ella has. Gracelyn has 9 children.
How any children does Ella have?
Pick an equation and then solve
a3-x=9
b9x=3
c3/x=9 (fraction)
dx+9=3
ex-3=9
f3x=9
gx+3=9
h.x/3=9 (fraction)
Find x =
-47
-27
-73
-33
5
True or False:
a = 6 is a solution to the inequality a > 6
----
A) True
B
False
Answer:
False.
Step-by-step explanation:
If we substitute a for 6, the inequality would become 6 > 6. That is not true because 6 cannot be greater than itself.
6) Find the quotient
1. Use the points in the diagram to name the figure
1)JS↔️
2JS➡️
3)JS—
4)JS
Answer:
The correct option is;
[tex]\ \underset{JS}{\rightarrow} \right |[/tex]
Step-by-step explanation:
The given diagram consists of a a starting point, J having a direction passing through the point S and the line has one arrowhead on the right pointing to infinity, which is the symbol for a ray, JS
The denotation of a ray is made by the name of the ray having an overhead arrow as follows;
ray [tex]\ \underset{JS}{\rightarrow} \right |[/tex]
Option B is correct that is [tex]\overrightarrow{JS}[/tex].
VectorIt has magnitude, direction, and follows the law of vector addition.
How to find the direction of vectro?As the direction is given from J to S. our JS vector becomes [tex]\overrightarrow{JS}[/tex].
Thus, option B is correct that is [tex]\overrightarrow{JS}[/tex].
More about the vector link is given below.
https://brainly.com/question/13188123
What property does
(3 + 19) – 12 = 3 + ( 19 – 12)
represent?
Answer:
associative property
Step-by-step explanation:
PLS HELP OMG ITS ALGEBRA 1 im gonna drop out at this point
Answer: h≈3.42in
Good luck!
i need help pleaseee
screen shot attatched
Answer:
1,200 cubic cm
Step-by-step explanation:
First, you separate it into two prisms, which gives you two different volume formulas.
14*20*2 = 560
20*4*8 = 640
You then add the two volumes together, which equals 1,200
Answer:
sorry wish i could help....
Step-by-step explanation:
A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20
Answer:
c. $10.56
Step-by-step explanation:
$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64
$13.20 - $2.64 = $10.56
I NEED HELP NOW ITS DUE TOMORROW!
A farmer owns a total of 14 acres in land. The land is separated into 5 5/6 equally sized sections. How many acres are in each section?
Write your answer as a mixed number in simplest form.
Answer:
2 2/5
Step-by-step explanation:
14 divided by 5/6 is 2 2/5
John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month. The variable ddd is the number of dollars in John's bank account at the end of the month
Answer:
tricky picky question pal,
Step-by-step explanation:
What are the awnswes
Answer:
d > -7.
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints (-4,4),(-2,2)
Answer:
(-3,3)
Step-by-step explanation:
use the midpoint formula
A video store charges $15 for a rental card plus $1.50 per rental. Write a linear equation in
slope-intercept form to model the situation.
Answer:
15 + 1.50x
Step-by-step explanation:
The area of a rectangle is 276.9 m². If the length is 15 m, what is the perimeter of the
rectangle?
Answer:
[tex]66.92\:\mathrm{m}[/tex]
Step-by-step explanation:
The area of a rectangle is given by [tex]l\cdot w[/tex] where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. Therefore, based on the information given, we can write the following equation to solve for the width:
[tex]15\cdot w=276.9,\\w=\frac{276.9}{15},\\w=18.46\:\mathrm{m}[/tex].
The perimeter of a rectangle is given by [tex]p=2w+2l[/tex]. Therefore, the perimeter of the rectangle is:
[tex]2(15)+2(18.46)=\fbox{$66.92\:\mathrm{m}$}[/tex].
Clear selection
If I double a number, subtract 3 and the answer is 7, what number did I start 1 point
with?
10
5
4
6
Answer:
5
Step-by-step explanation:
if you double 5 you get 10 and if you remove 3 you get 7
Answer:
5
Step-by-step explanation:
since 5 +5 = 10 then you'd subtract 3 u would end up with 7
I'm not good at mathematics and I need a bit of help.
Answer:
2/3
Step-by-step explanation:
5/6*4/5=20/30
20/30 divided by ten equals 2/3
the answer is 2/3
14+x = -9
X equals what?
Answer:
x=−23
Step-by-step explanation:
14+x=−9
Step 1: Simplify both sides of the equation.
x+14=−9
Step 2: Subtract 14 from both sides.
x+14−14=−9−14
x=−23
Answer:
-23
Step-by-step explanation:
14+x =-9
-14 -14
x = -23
[2.1 + (9.2 x 3.3)] x 0.8
Answer:
the answer is 25.96800
Simplify:
2 11/12 + 5 1/2 + 3 3/8
Write you answer as a mixed number.
Answer:
[tex]2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8}[/tex] (write them out and convert them all into mixed fractions)
[tex]\frac{35}{12} + \frac{11}{2} + \frac{27}{8}[/tex] (find the LCD aka least common denominator)
[tex]\frac{70}{24} + \frac{132}{24} + \frac{81}{24}[/tex] (add all numerators together)
[tex]\frac{283}{24}[/tex] (this is improper, so you need to convert back to mixed by dividing)
[tex]11\frac{19}{24}[/tex] (this is your answer)
need help plz, completely don’t understand :(
9514 1404 393
Answer:
see attached
Step-by-step explanation:
In each empty table square, fill in the value that is computed by replacing 'n' in the rule to the left with the value of 'n' above that square.
For example:
The upper left empty square will be filled with ...
n -5 . . . . with n replaced by 1
1 - 5 = -4 . . . . the value that goes in the upper left square.
__
Another example:
The lower right square will be filled with ...
4n -3 . . . . with n replaced by 100
4·100 -3 = 400 -3 = 397 . . . . the value that goes in the lower right square
_____
Additional comment
When there are numerous table values to fill, it can be convenient to let a spreadsheet do the calculations. Here, each formula was entered once, then filled to the right.
A fence post is 12 feet tall. A chain is attached to the top of the fence post and fastened to the ground 9 feet from the base of the fence post. What is the length of the chain?
Answer:
15 feet
Step-by-step explanation:
Use the Pythagorean theorem which is a^2 + b^2 = c^2
a and b represents the legs of the triangle
c represents the hypotenuse (which is the chain)
Answer: 15ft chain length
Step-by-step explanation: A right triangle is formed from the picture. Using pythagorean theoreom
12^2+9^2=c^2
225=c^2
15=c