Answer:
For probabilities with replacement
[tex]P(2\ Red) = \frac{25}{64}[/tex]
[tex]P(2\ Black) = \frac{9}{64}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{32}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}[/tex]
For probabilities without replacement
[tex]P(2\ Red) = \frac{5}{14}[/tex]
[tex]P(2\ Black) = \frac{3}{28}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{28}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}[/tex]
Step-by-step explanation:
Given
[tex]Marbles = 8[/tex]
[tex]Red = 5[/tex]
[tex]Black = 3[/tex]
For probabilities with replacement
(a) P(2 Red)
This is calculated as:
[tex]P(2\ Red) = P(Red)\ and\ P(Red)[/tex]
[tex]P(2\ Red) = P(Red)\ *\ P(Red)[/tex]
So, we have:
[tex]P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)}{Total}\\[/tex]
[tex]P(2\ Red) = \frac{5}{8} * \frac{5}{8}[/tex]
[tex]P(2\ Red) = \frac{25}{64}[/tex]
(b) P(2 Black)
This is calculated as:
[tex]P(2\ Black) = P(Black)\ and\ P(Black)[/tex]
[tex]P(2\ Black) = P(Black)\ *\ P(Black)[/tex]
So, we have:
[tex]P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)}{Total}[/tex]
[tex]P(2\ Black) = \frac{3}{8}\ *\ \frac{3}{8}[/tex]
[tex]P(2\ Black) = \frac{9}{64}[/tex]
(c) P(1 Red and 1 Black)
This is calculated as:
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = 2[P(Red)\ *\ P(Black)][/tex]
So, we have:
[tex]P(1\ Red\ and\ 1\ Black) = 2*[\frac{5}{8} *\frac{3}{8}][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = 2*\frac{15}{64}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{32}[/tex]
(d) P(1st Red and 2nd Black)
This is calculated as:
[tex]P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)][/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total}[/tex]
So, we have:
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{8}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}[/tex]
For probabilities without replacement
(a) P(2 Red)
This is calculated as:
[tex]P(2\ Red) = P(Red)\ and\ P(Red)[/tex]
[tex]P(2\ Red) = P(Red)\ *\ P(Red)[/tex]
So, we have:
[tex]P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)-1}{Total-1}[/tex]
We subtracted 1 because the number of red balls (and the total) decreased by 1 after the first red ball is picked.
[tex]P(2\ Red) = \frac{5}{8} * \frac{4}{7}[/tex]
[tex]P(2\ Red) = \frac{5}{2} * \frac{1}{7}[/tex]
[tex]P(2\ Red) = \frac{5}{14}[/tex]
(b) P(2 Black)
This is calculated as:
[tex]P(2\ Black) = P(Black)\ and\ P(Black)[/tex]
[tex]P(2\ Black) = P(Black)\ *\ P(Black)[/tex]
So, we have:
[tex]P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)-1}{Total-1}[/tex]
We subtracted 1 because the number of black balls (and the total) decreased by 1 after the first black ball is picked.
[tex]P(2\ Black) = \frac{3}{8}\ *\ \frac{2}{7}[/tex]
[tex]P(2\ Black) = \frac{3}{4}\ *\ \frac{1}{7}[/tex]
[tex]P(2\ Black) = \frac{3}{28}[/tex]
(c) P(1 Red and 1 Black)
This is calculated as:
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [\frac{n(Red)}{Total}\ *\ \frac{n(Black)}{Total-1}]\ +\ [\frac{n(Black)}{Total}\ *\ \frac{n(Red)}{Total-1}][/tex]
So, we have:
[tex]P(1\ Red\ and\ 1\ Black) = [\frac{5}{8} *\frac{3}{7}] + [\frac{3}{8} *\frac{5}{7}][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = [\frac{15}{56} ] + [\frac{15}{56}][/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{30}{56}[/tex]
[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{28}[/tex]
(d) P(1st Red and 2nd Black)
This is calculated as:
[tex]P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)][/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total-1}[/tex]
So, we have:
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{7}[/tex]
[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}[/tex]
Can someone help me please
9514 1404 393
Answer:
{Segments, Geometric mean}
{PS and QS, RS}
{PS and PQ, PR}
{PQ and QS, QR}
Step-by-step explanation:
The three geometric mean relationships are derived from the similarity of the triangles the similarity proportions can be written 3 ways, each giving rise to one of the geometric mean relations.
short leg : long leg = SP/RS = RS/SQ ⇒ RS² = SP·SQ
short leg : hypotenuse = RP/PQ = PS/RP ⇒ RP² = PS·PQ
long leg : hypotenuse = RQ/QP = QS/RQ ⇒ RQ² = QS·QP
I find it easier to remember when I think of it as the segment from R is equal to the geometric mean of the two segments the other end is connected to.
__
segments PS and QS, gm RS
segments PS and PQ, gm PR
segments PQ and QS, gm QR
Help please, i'll give brainliest for the correct answer!
Answer:
I'm pretty sure it's A.
Step-by-step explanation:
.
How should the decimal point in 52.48 be moved to determine the product 52.48×105 ?
Answer:
2 to the right i belive
Write the fraction product of a whole number and a unit fraction.
5/12
Answer:
5*1/12
Step-by-step explanation:
I don't know if this is right but hopefully it is ^^"
Jessica's school bus stop is 60 yards from her house. For a normal school week, how many feet will Jessica walk to and from the bus stop.
Answer:
1,800 feet
Step-by-step explanation:
Assuming that the normal school week is 5 days, she will walk for 5 days to and from. Each day she will walk 120 yards to and from the stop. Multiply that number by 5 and you get your answer of 600 yards. The answer is wanted in feet, so you have to consider yards to feet conversions. 1 yard is three feet. Therefore, you multiply 600 by 3 and you get your answer in feet.
Select the correct answer. The graph of the rational function f is shown. Which graph is the graph of g(x)=-f(x)?
Answer:
see picture
Step-by-step explanation:
pls and this question
Answer:
-4
Step-by-step explanation:
that number cannot be simplified
What is the equation of an exponential function?
1)y=mx+b
2)a=b+c
3)y=a (b)^x
4)y=ax^2+bx+c
PLEASE HELP. I NEED TO GET THIS RIGHT
Ciro is right
Gerard is wrong
Gunther is also wrong
Equal expression:
1 - 2(40x - 12)
True or false? The graph represents a function
5
-5
A True
B. False
Answer:
True
Step-by-step explanation:
It passes the vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point
this means that for every input (x value) there is only one output (y value)
Yes, The graph represents a function.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to show a graph.
Now, We know that;
The vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point, then it represent a function.
Here, The graph satisfy vertical line test, this means that for every input (x value) there is only one output (y value).
Thus, The graph represents a function.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
10 POINTS PLS ANSWER
Answer:
Step-by-step explanation:
FGE is a straight line, and striaght lines measure 180 by definition. Therefore, x, angle BGA, and 55 all add together to equal 180. But notice that x and 55 are both marked with a single swish, meaning they are the same measure. So:
180 - 55 - 55 = x, so
x = 70
Determine the area of the composite figure to the nearest whole number.
26 cm2
B)
38 cm?
46 cm2
85 cm2
Step-by-step explanation:
Area of rectangle= l×b
= 4cm×6cm
= 24cm²
Area of circle. = πr²
radius of circle = diameter÷2=6÷2=3cm
Area of circle. = 3.14×3²=3.14×9
Area of circle. = 28.26cm²
[tex]area \: of \: composite \: figure = area \: of \: circle \: + area \: of \: rectangle[/tex]
Area of........... = 28.26cm²+24cm²
= 52.26cm²
PLEASE MARK BRAINLIEST.
The area of the composite shape is: B. 38 cm²
What is the Area of a Composite Shape?Area of a composite shape = sum of the area of each shape that makes up the composite shape.
Thus:
Area of composite shape = area of semicircle + area of rectangle
= 1/2πr² + length × width
Radius (r) = 1/2(6) = 3 cm
Length = 6 cm
Width = 4 cm
Substitute
Area of composite shape = 1/2(3.14)(3²) + 6 × 4
Area of composite shape = 38 cm²
Learn more about area of composite shape on:
https://brainly.com/question/8408690
What is the next number in the following geometric sequence? *
{1, 3, 9,...}
A 3
B 27
C 2
D 1
Answer:
B. 27 Is the answer
Step-by-step explanation:
hope it helped u
A furniture salesman makes 3.5% commission. Her monthly sales are $18,545. Her annual salary is $18,995.80. What’s her monthly pay? Write just the value that represents your answer.
Using proportions, it is found that her monthly salary is of $1,528.9.
What is a proportion?A proportion is a fraction of total amount.
In this problem, her monthly sales are $18,545, with a commission of 3.5%, hence, in commission, the amount she makes is:
0.035 x 18545 = 649.075
Her annual salary is $18,995.80, of which 18995.80 - 649 = $18,346.8 she receives in 12 payments, hence:
18,346.8/12 = $1,528.9.
Her monthly salary is of $1,528.9.
You can learn more about proportions at https://brainly.com/question/24372153
Find the value of x and the measure of the missing angle labeled A:
Answer:
below with explaination
Step-by-step explanation:
angle A + angle B + angle C = 180
x+x+37+x+67=180
3x+104=180
3x=180-104
3x=76
x=76÷3
x=25.3
angle A = 62.3
Answer:
104 and 90
Step-by-step explanation:
You are given data on number of radio ads and sales for a local department store. You had observations for 20 months. The correlation between ads and sales is 0.40. Does this indicate a positive and significant relationship between ads and sales at the 5% level of significance
Answer:
"No" would be the appropriate response. A further explanation is provided below.
Step-by-step explanation:
According to the question,
Number of observations,
n = 20
Significance level,
d = 5%
i.e.,
= 0.05
Calculated correlation,
= 0.40
Critical correlation value will be:
= 0.444
According to the question, we can see that the calculated correlation i.e., "0.40" is far less than the critical correlation value i.e., "0.444". The null hypothesis has always been not rejected. Thus it doesn't indicate the significant relationship.So the above it the right response.
choose yes or no to tell whether each of the following describes a convenience sampling method
In short, we have these answers in this exact order: No, No, Yes, Yes.
IS THIS CORRECT ???????
Answer:
yes
Step-by-step explanation:
Answer:Yep
Step-by-step explanation:
pls answer i beg who answers correct get 100 points
Answer:
y=7p+5e
Step-by-step explanation:
I guess, if that is what you are asking
Answer:
If there 3 slices and 4 slices I would say about near 460 calories or higher
Step-by-step explanation:
I need help with question 8
Answer:
the answer is B!
Step-by-step explanation:
because :
Jerry has = 150$
he "*DEPOSITED*" = 50$
(When the word deposit comes, it basically means we need to ADD)
therefore, 150 +50x = 500
(7 weeks) so,
150 + 50 * 7 = 500
see! my answer is correct !
mark me brainliest now pweasee! ;)) ♡♡♡
how many different ways can officers be appointed
Which of the following applications of undefined terms made use of the concept of point as a location in space?
A RADAR. C laser beam
b tip of needle. D mole o a face
Roger has to place cookies in plastic bags for a bake sale. He has 84 sugar cookies and 66 chocolate chip cookies. He wants to place the same number of cookies in each bag, wants to make sure that only one type of cookie goes into each bag, and wants to put the most cookies he can in each bag. How many cookies should be in each bag
Answer:
6 cookies
Step-by-step explanation:
Roger wants to place 84 sugar cookies and 66 chocolate chip cookies into plastic bags. Each bag must have the same number of cookies and only one type of cookie must be in each bag.
For the 84 sugar cookies:
number of cookies : 1 2 3 4 6 7 12 14 21 28 42 84
number of bags : 84 42 28 21 14 12 7 6 4 3 2 1
For the 66 chocolate cookies:
number of cookies : 1 2 3 6 11 22 33 66
number of bags : 66 33 22 11 6 3 2 1
The maximum common factor between 84 and 66 is 6.
Therefore 6 cookies should be placed in each bag. For sugar cookies, 6 cookies would be placed in each of the 14 bags while for the chocolate cookies, 6 cookies would be placed in each of the 11 bags.
What is the probability of rolling a 4, 5, or 6 on a die?
Answer:
1/6 chance
Step-by-step explanation:
Question on imagine
Will give 95 points if answer quickly
Answer:
B its 40cm^2
Step-by-step explanation:
break this odd shape up into two smaller ones like a 5x4 box and a 2x10 rectangle and add those two area together
Answer:
C).
Step-by-step explanation:
PLEASE HELP ME AND MY FRIEND WITH THIS PROBLEM!!
Answer:
36 possible outcomes
Step-by-step explanation:
If you receive 25\% off an item costing $22.00, how much money do you save?
Answer:
5.50
Step-by-step explanation:
They save 5.50
Answer:
$5.50
Step-by-step explanation:
Hello! This is an easy one. If we are trying to find how much she is saving all we would need to do is multiply.
$22.00 * 25% = $5.50
If we are trying to find out the total with the discount all we would need to do is subtract.
22 - 5.5 = $16.50
Hope this helps!!
HELP HELP HELP ME PLEASE-
the answer is C or E lol because it's asking I've you put > in between both of them which one would be wrong if you put > in between them I look over them it would be c or e
You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.
What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.
Options: $30 per pound $0.14 per pound $7 per pound $14 per pound
Help ASAP 45 points
Answer:
fd
Step-by-step explanation: