A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;
a). With replacement
i). Both are red
ii). One is black and the other yellow
b). Without replacement
i). Both are red
ii). One is black and the other yellow
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
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select the three objectives mosquitoes hovered around the small puddle of still murky water in the background
Answer:
Step-by-step explanation:
Select all equations that have graphs with the same y-intercept.
y = 3x - 8
y = 3x - 9
y = 3x + 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8
The equations that have graphs with the same y-intercept are:
y = 3x - 8y = 5x - 8y = 2x - 8y = (1/3)x - 8To determine which equations have graphs with the same y-intercept, we need to look for equations that have the same constant term when written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
The y-intercept is the value of y when x is equal to 0. In other words, it is the point where the graph intersects the y-axis.
Let's compare the equations and their constant terms:
y = 3x - 8 (Constant term: -8)
y = 3x - 9 (Constant term: -9)
y = 3x + 8 (Constant term: 8)
y = 5x - 8 (Constant term: -8)
y = 2x - 8 (Constant term: -8)
y = (1/3)x - 8 (Constant term: -8)
From the comparison, we can see that the equations y = 3x - 8, y = 5x - 8, y = 2x - 8, and y = (1/3)x - 8 all have the same constant term of -8. This means that their graphs will have the same y-intercept, which is -8.
Therefore, the equations that have graphs with the same y-intercept are:
y = 3x - 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8
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In the diagram if AE = AB, find the area shaded.
Answer:
Area shaded = 60 [tex]cm^{2}[/tex].
Step-by-step explanation:
From the given diagram,
Area shaded = Area of the trapezoid EBCD
Given that: AE = [tex]\frac{1}{3}[/tex]AB
= [tex]\frac{1}{3}[/tex] x 12 (∵ AB = CD = 12 cm)
= 4 cm
AE = 4 cm,
Thus,
EB = (12 - 4) cm
= 8 cm
EB = 8 cm
Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD
= [tex]\frac{1}{2}[/tex] (8 + 12) x 6
= (20) x 3
= 60
Area shaded = 60 [tex]cm^{2}[/tex]
A bicycle shop advertised all mountain bikes priced at a 1/3
discount. If the original price is $432, what is the sales
price?
Answer:
$288
Step-by-step explanation:
1/3 of a discount is = 2/3 of price
Multiply 432 by 2/3 and get 288.
Answer:
$288
Step-by-step explanation:
A 1/3 discount is .3333333... percent and so you simplify to .33 or 33% of a discount.
Multiply 432x.33 = 144
Subtract 432-144 to get 288 as you answer
Find the difference 0.2 - 0.05 =
Answer:
0.2-0.05=0.15
Step-by-step explanation:
0.2=0.20
0.20-0.05=0.15
The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.
To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:
0.2 - 0.05 = 0.15
The difference between 0.2 and 0.05 is 0.15.
When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.
Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.
Therefore, the difference in the tenth place is 0.
Since there are no other place values to subtract, the resulting difference is 0.15.
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Which inequality is true
Pls answer
Answer:
d
Step-by-step explanation:
Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the nearest tenth is 16.3. ? 16.32 rounded to the nearest hundredth is 16.33. ? Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. true or false 16.32 rounded to the nearest tenth is 16.3. true or false 16.32 rounded to the nearest hundredth is 16.33. true or false plz explain
Answer:
a)16.32 rounded to the nearest whole number is 16 feet per second? True
b) 16.32 rounded to the nearest tenth is 16.3.? True
c) 16.32 rounded to the nearest hundredth is 16.33. ? False
Step-by-step explanation:
Select True or False for each statement.
a) 16.32 rounded to the nearest whole number is 16 feet per second. ?
16.32 to nearest whole number = 16 feet per second. This statement above is true.
b) 16.32 rounded to the nearest tenth is 16.3. ?
The number in the tenth position is 3, the number after it is 2.
Hence, 16.32 to the nearest tenth = 16.3
Hence, the above statement is true.
c) 16.32 rounded to the nearest hundredth is 16.33. ?
The number in the hundredth position is 2. There is no number after 2.
Hence,
16.32 to the nearest hundredth is 16.32
Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.
how to solve a problem like 5x-1-9x=6x-4
Answer: -10x=-3
Step-by-step explanation:
Answer:
3/10
Step-by-step explanation:
First you have to start by combining like terms. On the left side of the equations we can combine the like terms 5x and -9x to get -4x
Now the equation is -4x-1=6x-4 Now solve for x
Add 4x to both sides -1=10x-4
Add 4 to both sides 3=10x
Divide both sides by 10 x=3/10
Find the x-intercept and y-intercept
from the following linear equation:
- 7x + 4y = 56
x-intercept ([?],[ ])
y-intercept ([?],[ ])
HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
b
help help help PLS TY
Find the value of x.
The triangle is equilateral, because all three angles will measure 60 degrees. This means that all three sides are equal, so:
7x + 19 = 11x - 89
4x = 108
x = 27
Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?
The older sibling will catch the younger sibling after ? second(s) and running ? feet.
Answer:
it would take approximately 8 seconds
Step-by-step explanation:
7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88
A pickup truck travels 45 Mi on 2 and 1/3 gallons and goes19 miles on one gallon of gas. At that rate how far will it travel on 4 1/4 gallons of gas?
plz someone help ASAP! thanks
Answer:
B
Step-by-step explanation:
Because at least means not less than 50 or equal to 50
Since he wrote 18 pages then you have to add.
solve: logx 64 = 3. Which is an equivalent equation?
By applying the definition of logarithm, you have
\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64
So, if you consider the cubic root of both sides, you have
x = \sqrt[3]{64} = 4x=364=4
Answer:
x
=
4
,
−
2
+
2
i
√
3
,
−
2
−
2
i
√
3
Step-by-step explanation:
1. The 1st number in an Ordered Pair is called the:
O x-coordinate
O y-coordinate
O origin
Answer:
x-coordinate my dude. the 2nd one is the y.
Step-by-step explanation:
Please mark brainliest!!!
The sets of ordered pairs below represent relations.
1. (0,0), (1,1), (2,2), (3,3), (4,4)
2. (1,2), (2,1), (1,3), (0,1), (3,1)
3. (0,2), (1,2), (2,4), (3,4), (3,6)
4. (1,6,), (2,6), (3,6), (4,6), (5,6)
Which of these sets are also functions?
1 only
1 and 4
2 and 3
2,3, and 4
Answer:
2,3, and 4
because it shows y ≠ x which is not the case for 1
The required sets that also function are 1 and 4. Option B is correct.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
1.
(0,0), (1,1), (2,2), (3,3), (4,4)
Above ordered pairs represent the following function,
f(x) = x
Similarly,
ordered pair given in 2 and 3 would not form the function,
While the ordered pair gave in 4 forms a function of f(x) = 0
Thus, the required sets that is also function are 1 and 4. Option B is correct.
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Y'all I kinda need help in this problem
Answer:
4
Step-by-step explanation:
15km in 1 hour
60 minutes in 1 hour
60 min/15km
4 min per km
A cell phone costs 120 dollars. The price reduced 30% for a sale. How much is the savings
Answer:
You save 36 dollars.
Step-by-step explanation:
30% of 120 is 36.
You spend $84
Two sets are shown in the Venn diagram. Set N represents the natural numbers, and Set W represents the whole
numbers. in which set does the values -45 belong?
Answer:
In my opinion this is the whole w
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
both
How to do these math problems, due tomorrow and I need them done asap, really stressed
What is the solution to this equation?
Answer:
x = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
4x - 6 = 10x - 3 ( subtract 10x from both sides )
- 6x - 6 = - 3 ( add 6 to both sides )
- 6x = 3 ( divide both sides by - 6 )
x = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex]
Please help me I give Branliest
Jessica is buying chicken wings and hamburger meat for a party. One bag of chicken wings costs $6. Hamburger meat costs $3 per pound. She must spend no more than $30. She also knows that she needs to buy at least 5 pounds of hamburger meat. Which system of inequalities can be used to determine the number of bags of chicken wings, x, and the number of pounds of hamburger meat, y, that Jessica should buy?(
Answer:
6x+3y≤30
6x+3y≤30=x
x≥5
Step-by-step explanation:
Aspen added 14 to the product of 224 and 16 . What is the sum
Answer:
3,588
Step-by-step explanation:
224 x 16 + 14
= 3,588
hope this helps and have a good day!
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
1-yes rhombus
2-no rhombus
3-yes rhombus
Janice wants to paint this figure on her wall in her bedroom. If paint cost $3.89 per square unit, how much will it cost to paint this figure on her wall?
Answer:we need to know the size of the wall
Step-by-step explanation:
Is the scale factor k=1.5 an enlargement, a reduction or an isometry?"
A. Enlargement
B. Reduction
C. Isometry
Answer:
Step-by-step explanation:
(2x10^5) divided by (4x10^2)
Answer:
[tex]\huge\boxed{0.5\times10^3=0.5\times1,000=500}[/tex]
Step-by-step explanation:
[tex](2\times10^5)\div(4\times10^2)=\dfrac{2}{4}\times\dfrac{10^5}{10^2}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m};\ a\neq0\\\\=0.5\times10^{5-2}=0.5\times10^3=0.5\times1,000=500[/tex]