Given:
Total number of jewels = 1000
Emeralds = 600
Sapphires = 300
Rubies = 100 rubies
100 jewels she took randomly.
To find:
The probability that all 100 jewels she took were sapphires.
Solution:
Number of selected jewels = 100
Total number of jewels = 1000
We have to select 100 out of 1000.
So, the total number of outcomes [tex]=^{1000}C_{100}[/tex]
Number of sapphires = 300
We have to select 100 out of 300 sapphires .
So, the favorable outcomes [tex]=^{300}C_{100}[/tex]
Now,
[tex]\text{Required probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Required probability}=\dfrac{^{300}C_{100}}{^{1000}C_{100}}[/tex]
Therefore, the required probability is [tex]\dfrac{^{300}C_{100}}{^{1000}C_{100}}[/tex].
A company currently has an advertisement that covers a bill board that is 30 ft wide by 70 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25ft wide by 40 ft high. What are the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement
Given :
A company currently has an advertisement that covers a bill board that is 30 ft wide by 70 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25 ft wide by 40 ft high.
To Find :
The dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement.
Solution :
Area of original bill board :
[tex]A_i=30\times 70 = 2100\ ft^2[/tex]
Area of new bill board :
[tex]A_f=25\times 40 = 1000\ ft^2[/tex]
Since, new bill board can be completely fitted in original bill board as its length and breadth both are smaller than that.
So, the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement is equal to 1000 ft².
Hence, this is the required solution.
Jennifer received a coupon for 40% off her purchase of a regularly priced item from her favorite
store. If Jennifer wants to order a shirt from the store that is originally $30, how much would
she have to pay for the shirt after the coupon?
Answer:
18$
Step-by-step explanation:
Whatever3443 pls help me someone is murdering me ✌
Answer:
i-
Step-by-step explanation:
Answer:
Oh no! I'm sorry!
Step-by-step explanation:
Items are inspected for flaws by two quality inspectors. Both inspectors inspect every item and the probability that an item has a flaw is 0.1. If a flaw is present,it will be detected by the first inspector with probability 0.92, and by the second inspector with probability 0.7. If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 and by the second inspector with probability 0.8. Assume the inspectors function independently.
(a) If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?
(b) If an item is passed by the first inspector, what is the probability that it actually has a flaw?
(c) What is the probability that the two inspectors draw different conclusions on the same item?
(d) If an item is passed by both inspectors, what is the probability that it actually has a flaw?
Answer:
a)0.976
b)0.00926
c)0.2402
d)0.35
Step-by-step explanation:
Let [tex]X_i[/tex] be an item passed by inspector i
Let Y be the event that there is a fault in an item
The probability that an item has a flaw is 0.1 i.e. P(Y)=0.1
If a flaw is present ,it will be detected by the first inspector with probability 0.92 i.e.[tex]P(\bar{X_1}|Y)=0.92[/tex]
So, [tex]P(X_1|Y)=1-0.92=0.08[/tex]
If a flaw is present ,it will be detected by the second inspector with probability 0.7 i.e.[tex]P(\bar{X_2}|Y)=0.7[/tex]
So,[tex]P(X_2|Y)=1-0.7=0.3[/tex]
If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 i.e. [tex]P(X_1|\bar{Y}) = 0.95[/tex]
So, [tex]P(\bar{X_1}|\bar{Y}) = 1-0.95=0.05[/tex]
If an item does not have a flaw, it will be passed by the second inspector with probability 0.8 i.e. [tex]P(X_2|\bar{Y}) = 0.8[/tex]
So, [tex]P(\bar{X_2}|\bar{Y}) = 1-0.8=0.2[/tex]
a)P(found by atleast one inspector | It has flaw )=1-P(found by none inspector | It has flow )
P(found by atleast one inspector | It has flaw )=[tex]1-P(X_1|Y) P(X_2|Y)[/tex]
P(found by atleast one inspector | It has flaw )=[tex]1-0.08 \times 0.3[/tex]
P(found by atleast one inspector | It has flaw )=0.976
Hence the probability that it will be found by at least one of the two inspectors if it has flaw is 0.976
b)[tex]P(Y|X_1)=\frac{P(X_1|Y) P(Y)}{P(X_1|Y) P(Y)+P(X_1|\bar{Y}) P(\bar{Y})}[/tex]
[tex]P(Y|X_1)=\frac{0.08 \times 0.1}{0.08 \times 0.1+0.95 \times 0.9}=0.00926[/tex]
C)P( two inspectors draw different conclusions on the same item)=[tex]P(X_1 \cap \bar{X_2} \cap Y)+P(\bar{X_1} \cap X_2 \cap Y)+P(X_1 \cap \bar{X_2} \cap \bar{Y})+P(\bar{X_1} \cap X_2 \cap \bar{Y})[/tex]
P( two inspectors draw different conclusions on the same item)=0.2402
D)
[tex]P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2)}\\P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2 \cap Y)+P(X_1 \cap X_2 \cap \bar{Y})}\\P(Y|(X_1 \cap X_2))=0.35[/tex]
Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water than contains 36 bottles and sells three times as many bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?
Record your answer in the grid below.
Be sure to use the correct place value.
8 points total Show work in order to receive full credit.
7 points correct answer
1 point correct bubbling on grid
Answer:
6
Step-by-step explanation:
Number of water bottles bought by Sylvia = 24
Number of water bottles sold by Sylvia = [tex]x[/tex]
Number of water bottles left with Sylvia = [tex]24-x[/tex]
Number of water bottles bought by Sam = 36
Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = [tex]3x[/tex]
Number of water bottles left with Sam = [tex]36-3x[/tex]
It is given that the number of water bottles left with Sylvia and Sam are equal.
i.e.
[tex]24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}[/tex]
So, number of water bottles sold by Sylvia = 6
At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of regular chips. What is the probability that you will buy a regular drink and a regular bag of chips?
Answer:
I guess that the purchase is at random, then let's see the possible options:
5 diet drinks.
10 regular drinks.
Total drinks = 15
6 bags of fat-free chips
10 bags of regular chips.
Total chips = 16.
Probability of buying at random, a regular drink is equal to the number of regular drinks divided the total number of drinks:
p1 = 5/15 = 1/3
Probability of buying at random a regular bag of chips, we use the same reasoning as before.
p2 = 6/16 = 3/8
The joint probability will be equal to the product of the individual probabilities:
P = p1*p2 = (1/3)*(3/8) = 1/8.
Answer:
the answer is 5/12
Step-by-step explanation:
what is the range of a function h(w) = 19- 3w if the domain is {-4, -1,2,5}
The tukmmk;ga#p[kpgrakkgkpkgweODKG\LMA
Water weighs 8 pounds per gallon. How many ounces per gallons does water weight
Answer: 128
Step-by-step explanation:
A car travels a distance of 1280 metres at an average speed of 64 kilometres per hour.
Ра:
Calculate the time it takes for the car travel this distance,
Give your answer in seconds
Answer:
The answer is 20 hours
Step-by-step explanation:
This is becuase 1280 divided by 64 equals 20. There are no unit coversions.
In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.
Given that,
A car travels a distance of 1280 meters at an average speed of 64 kilometers per hour.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
Time = distance/speed
Time. t = 1.280 / 64
t = 0.02 hours
Thus, In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.
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Does this graph represent a proportional relationship between days and inches?
Explain your reasoning
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
Answer:
The scale factor is 1/4
Step-by-step explanation:
Here, we are interested in finding the scale factor that helped convert the first point to the second.
Hence, what turned (8,12) to (2,3)
What we shall do here is to simply divide term 2 by term i.e
That would be 2/8 or 3/12 = 1/4
The scale factor was 1/4.
Given that,
The point (8, 12) was dilated to become point (2, 3).
We have to determine,
What was the scale factor?
According to the question,
Scale factors are closely related to the concepts of ratio and proportions.
In ratio and proportions, we multiply or divide a given amount to form a new quantity.
The point (8, 12) was dilated to become point (2, 3).
Therefore,
The scale factor was,
[tex]\rm Scale\ factor = \dfrac{New \ point \ lies \ on \ axis}{Old \ point \ lies \ on \ axis}[/tex]
Substitute the points in the formula for the x-axis,
[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ x-axis}{Old \ point \ lies \ on \ x-axis}\\\\Scale\ factor = \dfrac{2}{8}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]
And substitute the points in the formula for the y-axis,
[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ y-axis}{Old \ point \ lies \ on \ y-axis}\\\\Scale\ factor = \dfrac{3}{12}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]
Hence, The scale factor was 1/4.
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What is the equation of this line?
Answer:
y=4/3x‒4
Step-by-step explanation:
first list the pairs as the following
{(3,0),(0,‒4)}
&prove your answer by substitute the pairs instead of x&y
when we substitute the pairs (3,0)
y=4/3x‒4
0=4/3(3)‒4
0=4‒4
0=0
when we substitute the pairs (0,‒4)
y=4/3x‒4
‒4=4/3(0)‒4
‒4=0-4
‒4=‒4
so i hope my answer helps you
All of the following are equivalent, except
(12 + 3)x
12x + 3x
(12 + 3x)x
15x
⚠PLEASE! THIS IS DUE TONIGHT! FREE BRAINLIEST!⚠
UX bisects ∠VUW. Complete the proof that △UWX≅△UVX.
the asnwer is either SAS or SSS
Answer:
SAS theorem
Step-by-step explanation:
Answer: SAS theorem :-D BREH
Step-by-step explanation:
2x+2=4+1x
and we are solving for X
Answer:
the answer is x = 2
Step-by-step explanation:
2x+2=4+1x
(2x-1x)+2= 4 +(1x-1x)
1x+2=4
1x(2-2)=(4-2
1x=2
2/1=x
x=2
Answer: X=2
I might be wrong
Explain! Reward! Thank you!!!!
Answer:
4/7
Step-by-step explanation:
because 40 of the campers are male so thats 4 out of 7.
Answer:
it's 3/7
Step-by-step explanation:
there is 70 campers total and 40 of them are boys.
40 + 30 = 70
So Make the 30 and 70 a 3 and 7 and you got 3/7
It's kinda hard for me to explain lol
Does anyone know how to solve 3 by 3 linear systems?
In the system below, use equation (1) with equation (2) to eliminate x. Then use equation (1) with equation (3) to eliminate x.
x-y-2z=4 (1)
-x+3y-z=8 (2)
-2x-y-4z=-1 (3)
Answer:
x = 3, y = 3, z = - 2
Step-by-step explanation:
Given the 3 equations
x - y - 2z = 4 → (1)
- x + 3y - z = 8 → (2)
- 2x - y - 4z = - 1 → (3)
Add (1) and (2) term by term to eliminate x
2y - 3z = 12 → (4)
Multiply (1) by 2 and add to (3) to eliminate x
2x - 2y - 4z = 8 → (5)
Add (3) and (5) term by term to eliminate x
- 3y - 8z = 7 → (6)
Multiply (4) by 3 and (6) by 2
6y - 9z = 36 → (7)
- 6y - 16z = 14 → (8)
Add (7) and (8) term by term to eliminate y
- 25z = 50 ( divide both sides by - 25 )
z = - 2
Substitute z = - 2 into (7)
6y + 18 = 36 ( subtract 18 from both sides )
6y = 18 ( divide both sides by 6 )
y = 3
Substitute y = 3 and z = - 2 into (1)
x - 3 + 4 = 4
x + 1 = 4 ( subtract 1 from both sides )
x = 3
Solution is x = 3, y = 3, z = - 2
2(3x + 3)=8x+2 solve for x
Answer:
13 should be x
Step-by-step explanation:
Evaluate. (-1/3) ^3
Answer:
[tex]-\frac{1}{27}[/tex]
Answer:
18-726;615+8876-9987ILL GIVE BRAINLIEST !
What can FOIL be used for?
Answer:
I can be used for thermal conductivity, Electrical conductivey, fake grills for teeth lol, ac conducters, and more
Step-by-step explanation:
Answer:
If you mean FOIL (as in first, outside, inner, last)
it is primarily used to distribute a factor properly.
Select all the equations where b=11b=11b, equals, 11 is a solution. Choose 2 answers: Choose 2 answers: (Choice A) A 2b=2112b=2112, b, equals, 211 (Choice B) B b+18=7b+18=7b, plus, 18, equals, 7 (Choice C) C 77=7b77=7b77, equals, 7, b (Choice D) D 9=b-29=b−29, equals, b, minus, 2 (Choice E) E 11=33\div{b}11=33÷b
Answer:
Step-by-step explanation:
We are to choose all the equation that evaluates b to be 11. The following equations are true;
77 = 7b
To get b, we will divide both sides by 7
77/7 = 7b/7
11 = b
b = 11
This shows that the equation is correct since b = 11
Also 9 = b-2
To get b, we will add 2 to both sides of the expression
9+2 = b-2+2
11 = b
b = 11
This shows that the equation is correct since b = 11
Hence option C and D are correct
Answer:
C and D
Step-by-step explanation:
You do the opposite of the question to get answer.
HELP NEEDED!!!!
Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus spells a word correctly and has the opposite score. Which is the correct way to represent "the opposite of Liliana's score is equal to Marcus's score"?
A)-18 = 18
B)-(-18) =-18
C)-(18)=-18
D)-(-18)=18
(the answer is not C)
Answer:
D
Step-by-step explanation:
Wkx2di2jd1nd1do jf2kd2ifj2dkdu2dj2d
Answer:
d
Step-by-step explanation:
Help please!!!!!!!!!!
Answer:
The answer is x=18, I believe.
Please help me thanks
Answer:
A. Pair 1
Step-by-step explanation:
B is just repositioned, C is a reflection, and D is also a reflection.
please help i will put as brainliest need done today asap
Answer:
c
Step-by-step explanation:
Answer:
B.) 2 2/5
Step-by-step explanation:
If you find the answer to the question, you get the same answer as B.
Find the equation of the line that
is parallel to y = 1/2x – 4 and
contains the point (4,5).
y = 1/2x + [?]
Answer:
Step-by-step explanation:
y - 5 = 1/2(x - 4)
y - 5 = 1/2x - 2
y = 1/2x + 3
A right triangle with angle measures of 45, 45, 90 degrees undergoes a reflection, rotation, and translation. Determine whether the angle measure of the image of the triangle are 45, 45 and 90 degrees after each transformation. Choose yes or no.
Answer:
Reflection - Yes
Rotation - Yes
Translation - Yes
Step-by-step explanation:
After all 3 different transformations, the angle measures of the triangle will stay the same, at 45, 45, and 90 degrees.
This is because these 3 transformations do not change the shape of the triangle. They only change the orientation and placement of the triangle.
So, the angle measures will still be 45, 45, and 90 degrees after each transformation.
Answer:
Yes, the correct answer to this question is Yes.
(11x-28)(7x-8) find x
After solving (11x-28)=(7x-8) the value of x is 5
Given:
(11x-28) = (7x-8)
11x - 28 - 7x + 8 = 0
(11x - 7x) - 28 + 8 = 0
4x - 28 + 8 = 0
4x - 20 = 0
4x = 20
Dividing by 4 on both sides we get,
4x/4 = 20/4
x = 20/4
x = 5
Therefore after solving (11x-28)=(7x-8) the value of x is 5.
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There are 12 kittens. If they all average 4.7 pounds, what is the total weight of all 12 kittens
Answer:
56.4 pounds
Step-by-step explanation:
Multiply 12 (kittens) by 4.7(pounds) and you get 56.4 pounds, the total weight of the kittens combined.
Which set represents the same relation as the graph below?Which set represents the same relation as the graph below?
A coordinate plane has 7 points. The points are (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4).
StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSet
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet
Answer:
B; SECOND GRAPH
Step-by-step explanation:
Took the test
The set of ordered pairs that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).
What is a Relation?A relation is a relationship between the input (x-values) and output (y-values), which can be displayed on a graph on a coordinate plane on the vertical axis and the horizontal axis.
From the graph given as shown in the image attached below, the set that has same coordinate points as indicated on the graph is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).
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