Answer:
[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]
[tex]P(Same) = \frac{67}{210}[/tex]
Step-by-step explanation:
Given (Omitted from the question)
[tex]Red = 7[/tex]
[tex]White = 9[/tex]
[tex]Blue = 5[/tex]
Solving (a): [tex]P(First\ White\ and\ Second\ Blue)[/tex]
This is calculated using:
[tex]P(First\ White\ and\ Second\ Blue) = P(White) * P(Blue)[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{n(White)}{Total} * \frac{n(Blue)}{Total - 1}[/tex]
We used Total - 1 because it is a probability without replacement
So, we have:
[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{21 - 1}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{20}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{9*5}{21*20}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{45}{420}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]
Solving (b) [tex]P(Same)[/tex]
This is calculated as:
[tex]P(Same) = P(First\ Blue\ and Second\ Blue)\[/tex][tex]or\ P(First\ Red\ and Second\ Red)\ or\ P(First\ White\ and Second\ White)[/tex]
[tex]P(Same) = (\frac{n(Blue)}{Total} * \frac{n(Blue)-1}{Total-1})+(\frac{n(Red)}{Total} * \frac{n(Red)-1}{Total-1})+(\frac{n(White)}{Total} * \frac{n(White)-1}{Total-1})[/tex]
[tex]P(Same) = (\frac{5}{21} * \frac{4}{20})+(\frac{7}{21} * \frac{6}{20})+(\frac{9}{21} * \frac{8}{20})[/tex]
[tex]P(Same) = \frac{20}{420}+\frac{42}{420} +\frac{72}{420}[/tex]
[tex]P(Same) = \frac{20+42+72}{420}[/tex]
[tex]P(Same) = \frac{134}{420}[/tex]
[tex]P(Same) = \frac{67}{210}[/tex]
y is inversely proportional to X.
When y
20, x = 2
Work out y when x = 5
Answer:
When x = 5, y = 8.
Step-by-step explanation:
y is inversely proportional to X.
This means that we solve this using the rule of three for inversely proportional variables, that is, we apply line multiplication instead of cross multiplication.
y = 20, x = 2
Work out y when x = 5
20 - 2
x - 5
Applying line multiplication
[tex]5y = 40[/tex]
[tex]y = \frac{40}{5}[/tex]
[tex]y = 8[/tex]
When x = 5, y = 8.
Hello guysssssss asap
Answer:
-9, -8, -4 , 6 then 9..
Step-by-step explanation:
Your welcome
what is the fraction for ⅜
Answer:
3/8 % = 37.5 %
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
Please help me answer this
whats the question? what does it want. ill edit this when you give me the question.
Step-by-step explanation:
Last season Sarah was up to bat 48 times,and got 16 hits.what is the simplified ratio of Sara's hits to Sara's hits to Sara's at-bats
Answer:
48:16 ---> 3:1
Step-by-step explanation:
48 and 16 can both be divided by 4 which makes it 12:4 but that can still be reduced which would make it 3:1
Which polygon(s) below are similar (not congruent) to polygon A? Mark the similar polygon(s) with true
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she went up 22.1 feet. How many feet had she been below sea level, if she was 2.5 feet below sea level after she went up?
Answer:
24.6
Step-by-step explanation:
it's 24.6 because if you add 2.5 plus 22.1 equals 24.6
4/5 ÷ 1/5 = ?????????
Answer:
4
Step-by-step explanation:keep change flip 4/5 x 5/1 = 20/5= 4
In which function table do all of the points (x, y) lie on the line that has a slope of 3 and a y-intercept of 2? A.-1, -1 . 2,8 . 5, 17 . 8, 26.
B. -1 , -1 . 2,7 . 5,17 . 8 , 26
C. -1 , -1 . 2-8 . 5,18 . 8,26
D . -1 , -1 . 2,8 . 5,17 . 8, 25
Answer:
D. -1, -1. 2,8. 5,17. 8, 25
Step-by-step explanation:
esa es
Need help with this question thanks :)
Answer:
Omar could invite 19 friends.
Step-by-step explanation:
the equation for this word problem would be
5x+30=125
subract 30 from both sides
5x=95
divide both sides by 5
x=19
Answer:
(125-30) divided by 5. Your answer is 19.
Step-by-step explanation:
subtract 30 from 125 and your left with 95. Divide 95 by 5 and you get 19.
9-2(9r + 3) - 7r > -10r - (12r +9)
Answer:
The answer is r < 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
hoped this helped!
brainly, please?
Laura invests $2,000 in a bank account which pays a compound interest rate of 6.4%. To the nearest cent, what amount is in the account after 5 years and what amount of interest earned over 10 years?
Answer:
9,000
Step-by-step explanation:
it you count with time by ×it would be 9,000 because just add that up with money
Help plz:)))I’ll mark u Brainliest
Answer:
x = 6
Step-by-step explanation:
Since the given triangles ΔLMN and ΔCBQ are similar,
Their corresponding sides will be proportional.
[tex]\frac{LM}{CB}= \frac{MN}{BQ}=\frac{NL}{QC}[/tex]
Since, [tex]\frac{LM}{CB}= \frac{MN}{BQ}[/tex]
[tex]\frac{(5x-6)}{6}=\frac{52}{13}[/tex]
5x - 6 = 24
5x = 30
x = 6
Therefore, x = 6 will be the answer.
40 employees in an office wear eyeglasses. 22 have single-vision correction, and 18 wear bifocals. If two employees are selected at random from this group, what is the probability that both wear bifocals? What is the probability that both have single-vision correction?
Round your answers to four decimal places
Step-by-step explanation:
The number of way to select 2 employees from 40 is 40C2.
The number of way to select 2 employees from 22 is 22C2.
So the probability of the two employees having single-vision correction is just the number of ways to select the 22 employees (22C2) divided by the total number of ways to select 2 employees (40C2).
22C2 / 40C2 = 77/260
We can use the same technique for the bifocal employees.
18C2 / 40C2 = 51/260
Learning Task 3: In your answer sheet, write the letter of the correct answe
1. Which is a polynomial function?
Plx) = 2x3 + 32 - 4x + 4
c. c. G(x) = 2x-3 +5
B. H2) = 4x1/2 - 3x 4
D. F lrl = 2x3-5x + 3
3x2
Answer:
a.) May or may not a polynomial function ( depends on c)
b.) Not a polynomial function.
c.) Not a polynomial function.
d.) It is a polynomial function.
Step-by-step explanation:
A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]
where n is positive integer and n[tex]\neq[/tex] 0
a.)
P(x) = 2x³ + 32 - 4x + 4c
It may or may not a polynomial function because we did not know about the constant c.
b.)
H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴
It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.
c.)
G(x) = 2[tex]x^{-3}[/tex] + 5
It is not a polynomial function because -5 is not a positive integer.
d.)
F(x) = 2x³ - 5x + 33x²
It is a polynomial function.
The standard form of a polynomial is expressed as;
[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]
The leading power of a polynomial must be greater than 2 and must be a positive integer.
a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]
This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.
b) For the function [tex]G(x)=2x^{-3}+5[/tex]
This is not a polynomial because the leading degree of the polynomial is a negative integer
c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]
This is not a polynomial because the leading degree of the polynomial is a fraction.
d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]
This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.
Learn more here: https://brainly.com/question/16467846
Jayne has 860 grams of caster sugar.
How much more caster sugar will she need to make 4 jars of jam?
Jim invested $750 in a 3-year CD that earns 4.2% annual interest that is compounded monthly. How much will the CD be
worth at the end of the 3-year term? Include the dollar sign in your answer, and round to the nearest cent.
Provide your answer below:
Answer:
4.2% of 750 = 31.5
31.5 * 3 = 94.5
~Hope this helps~
The worth of CD after 3 years will be $853.07 at the given rate of interest.
What is compound interest?Compound interest is applicable when there will be a change in the principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that,
Principle amount P = $750
Rate of interest R = 4.3%
Time period T = 3 years
Number of times interest compounded annually (n) = 12
The compound interest formula is given by;
A = P[1 + R/n]^nT
A = 750[ 1 + 4.3/1200]¹²⁽³⁾
A = $853.07
Hence "The worth of CD after 3 years will be $853.07 at the given rate of interest".
For more information about compound interest,
brainly.com/question/26457073
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An antique store increases all of its prices by $40\%$, and then announces a $25\%$-off-everything sale. What percent of the original prices (before the increase) are the new prices? show work plz! It's not 5% by the way
Answer:
105%
Step-by-step explanation:
We'll analyse the question one step at a time
Let the original price be x.
Let y be the 40% increase
[tex]y =x + 40\% *x[/tex]
Express as decimal
[tex]y =x + 0.40 x[/tex]
[tex]y =1.40x[/tex]
Let z be the 25% off sale
[tex]z = (1 - 25\%) * y[/tex]
Express as decimal
[tex]z = (1 - 0.25) * y[/tex]
[tex]z = (0.75) * y[/tex]
[tex]z = 0.75y[/tex]
Substitute 1.40s for y
[tex]z = 0.75*1.40x[/tex]
[tex]z = 1.05x[/tex]
Express 1.05 as a fraction
[tex]z = 105\% * x[/tex]
The percentage is 105%
Sarah is training for a bike race. she rides her bike 5 3/4 miles in 1/3 hour. what is Sarah's rate in miles per hour? Express your answer in a mixed number. show your work.
Answer:
17 1/4 miles per hour
Step-by-step explanation:
First let's convert the mixed number to a fraction so it is easier to work with:
5 3/4 = (5*4 + 3)/4 = 23/4 miles.
Because she travelled it in a third of an hour, she could do it 3 times in 1 hour.
Because of this to get speed we divide the distance by the time taken.
23/4 divided by 1/3 is the same as saying 23/4 times 3:
(3*23)/4 = 69/4 = 17 1/4 miles per hour
Answer:
17 1/4
Step-by-step explanation:
A model of a lighthouse has diameter 8 inches and height 18 inches. If the
actual diameter of the lighthouse is 20 feet, find its actual height.
Answer:
45 feet.
Step-by-step explanation:
Given that a model of a lighthouse has diameter 8 inches and height 18 inches, and the actual diameter of the lighthouse is 20 feet, in order to find its actual height, the following calculation has to be made:
20 feet = 240 inches
240 / 8 = 30
Scale ratio: 1:30
18 x 30 = 540
540 inches = 45 feet
Therefore, the actual height of the lighthouse is 45 feet.
Answer:
45 ft
Step-by-step explanation:
Write the coordinates of the vertices after a rotation of 180 degrees counterclockwise around the origin.
Rotating a point 180 degrees in the coordinate system just reverses the signs of the original coordinates. L=(8,-6), M=(8.-1), N=(5,-3) become L=(-8,6), M=(-8,1), N=(-5,3)
The elevation of a bird was 23 m. The bird flew over to a branch to rest. It's elevation changed by -14.5 m. What is it's new elevation? Label
Answer:
8.5m
Step-by-step explanation:
Graph the line 3y+x=3
a=6
b=9
c=
the measure of c is?
When students are admitted to a particular university, they are given a six-digit identification number (NNNNNN). If the first digit must be either a 0 or 1, how many identification numbers are possible?
Answer:
200,000 identification numbers are possible
Step-by-step explanation:
For the first digit, there are only two possible outcomes, 0 or 1.
For the next five digits, there are 10 possible outcomes(0,1,2,3,4,5,6,7,8,9).
How many identification numbers are possible?
[tex]2 \times 10^5 = 200000[/tex]
200,000 identification numbers are possible
round 256,733 to ten thousands
Answer:
260,000
Step-by-step explanation:
Answer:256.73 hope this helps!
Step-by-step explanation:
Subtract. −5−(−9)−3
−17
−7
1
I don't know.
Answer:
-87
Step-by-step explanation:
Answer:
-87
Step-by-step explanation:
Find the area of the circle. Use 3.14 for pi.
Question 1 options:
113.04 in2
56.52 in2
256.34 in2
1017.36 in2
Answer:
The answer is 254.34 in².
Step-by-step explanation:
Given that the diameter is 2 times the radius. So the radius will be 9 in. Next, you have to find the area of circle, A = π × r² :
A = π × r²
Let π = 3.14, r = 9,
A = 3.14 × 9²
A = 254.34 in²
Please help
look at picture
supplementary angles
Answer:
x=56
Step-by-step explanation:
(2x-3)degrees+71 degrees=180 degrees because they are supplementary angles
This simplifies to 2x+68=180 because -3+71 is 68.
2x+68=180
2x=180-68
2x=112
x=112/2
x=56
It takes 26 pounds of seed to completely plant a 4-acre field.
How many acres can be planted per pound of seed?
Answer:
0.153846154
Step-by-step explanation:
26 pounds for 4 acres
1 pound will need less acres