Answer:
The first one would be 9
The second one would be 4
Step-by-step explanation:
By adding the same numbers, you make the equations equal and therefore true.
From an inventory of 48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed. What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Answer:
0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Step-by-step explanation:
The cars are chosen without replacement, so the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed.
This means that [tex]N = 48, k = 12[/tex]
8 cars received.
This means that [tex]n = 8[/tex]
What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
This is
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,48,8,12) = \frac{C_{12,0}*C_{36,8}}{C_{48,8}} = 0.0802[/tex]
[tex]P(X = 1) = h(1,48,8,12) = \frac{C_{12,1}*C_{36,7}}{C_{48,8}} = 0.2655[/tex]
[tex]P(X = 2) = h(2,48,8,12) = \frac{C_{12,2}*C_{36,6}}{C_{48,8}} = 0.3407[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0802 + 0.2655 + 0.3407 = 0.6864[/tex]
0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
if you spin the spinner 12 times what is the best prediction possible for the number of times it lands on pink or yellow
Answer:2
Step-by-step explanation:
the distributive property of 8(a+4)
Answer and Step-by-step explanation:
With the distributive property, the 8 will distribute itself to the a and the 4, resulting in 8a + 32.
#teamtrees #PAW (Plant And Water)
common demominator of 1/3 and 3/4
Answer:12 is a common denominator!
Step-by-step explanation:
Find (-21)+(-13)+20.
Answer:
14
Step-by-step explanation:
-21+-13+20=14
This is true because when subtracting negatives by negatives you pretty much add them and then when you add a positive to a negative you are technically removing the negative by the amount you are adding.
In short its kind of like using inverse operation in a way.
Hope this helps and have a nice day
Also may I please have a brainliest!!!
Can you guys help me and answer this math question below please I really need help I'll mark brainliest to whoever answers
Answer:
answer is "U"
Step-by-step explanation:
Answer:
U
Step-by-step explanation:
x,y.
go to your left five then up five
Rachel paid for a -pound bag of shrimp at one store. The following week, she paid for a -pound bag at another store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
I need to know how much each bag costs. And how many pounds they are. If you can add that I can give you and answer.
Step-by-step explanation:
Tasha has foam blocks stored in a box that measures 314 ft long by 3 ft wide by 1 ft tall.
Each foam block is a cube with 14 -ft edge length.
How many blocks can fit into the box?
156 blocks
312 blocks
624 blocks
2496 blocks
Answer:
624
Step-by-step explanation:
I hope it helps i did the test btw <3
Answer:
624
Step-by-step explanation:
I also did that same exact test. K12 right? That is what I go to. Anyway that answer is correct. Your welcome!
help read the instructions first
Answer:
Step-by-step explanation:
Find attached the second one
Quadrilateral WXYZ is dilated by a scale factor of į to form quadrilateral W'X'Y'Z'. What is the measure of side ZW? Z 28 Y" 42 42 W 28
Answer:
See Explanation
Step-by-step explanation:
Given
The given side lengths are not clear enough:
So, I will give a general explanation.
From the question, we understand WXYZ is dilated to produce W'X'Y'Z
This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'
i.e.
[tex]ZW *k =Z'W'[/tex]
Divide both sides by k to get side length ZW
[tex]ZW = \frac{Z'W'}{k}[/tex]
Assume that:
[tex]k = 4[/tex] and
[tex]Z'W' = 28[/tex]
[tex]ZW = \frac{Z'W'}{k}[/tex]
[tex]ZW = \frac{28}{4}[/tex]
[tex]ZW = 7[/tex]
Apply these steps and you will get your answer
Write the fraction as a product of a whole number and a unit fraction.
7/8
The table shows the feeding times of some animals in a zoo. Each feeding session lasts for 20 minutes.
Answer: 12:35 hrs
Step-by-step explanation:
Marlon watches the lions feed in the morning which was at 11:30.
Each feeding session lasts 20 minutes:
= 11:30 + 20
= 11:50 am
Marlon then walks for three quarters of an hour - 45 minutes - before stopping.
= 11:50 + 45
= 12:35 hrs
what is the answer of 3x+235+237
Answer:
3x + 472
Step-by-step explanation:
Answer:
3x + 472
Step-by-step explanation:
We have the expression 3x + 235 + 237 and are asked to find the answer.
We are not solving for x, neither are we doing anything complicated, we need to focus on like terms, which are certain numbers having different symbols, in which they can only be added with the numbers with the same symbols as them.
In this equation, we have two terms, variables and constant. We can only add the constants because once again, you cannot add two terms that don't have the same symbol.
Therefore :
3x + 235 + 237
235 + 237
472.
The answer is 3x + 472
Use distributive property ⅓(6x-18)
Answer:
2x - 6
Step-by-step explanation:
It would become:
1/3 * 6x - 1/3 * 18
2x - 6
earn 10 points if you simply answer my question please help me asap! thank you
Answer:
n + 0.5 = p
Step-by-step explanation:
I'm not sure how you format it so the AI would understand.
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answer:
Sorry this is so late but for those that need it. The answer is 4.8
Step-by-step explanation:
In order to get this i set up my equation like so.
0.60*(0.5*16)=y
Why I did it like this is because for every 0.5 thats half a mile so 8 miles times 2 to get the half miles was 16.
After figuring out that i started my equation and got
0.60*8=y
Then to finish it and get $4.8 Donated.
Hope this helped
A brainliest is always appreciated.
What happens to the distance between each billiard ball during this rigid
transformation?
The question is incomplete. Here is the complete question.
To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?
A. The distance remains constant throughout the transformation.
B. The distance decreases at the start and increases after all motion stops.
C. The distance stays the same at the start but decreasesexactly when motion ends.
D. The distance increases at the start and then decreases as the rack gets further from the player.
Answer: A. The distance remains constant throughout the transformation.
Step-by-step explanation: In a rigid motion, all moving points in the plane are moving in way such tha:
1) relative distance between them stays the same and
2) relative position of the points stays the same
There are four types of rigid motions: translation, rotation, reflexion and glide reflection.
Translation: every point or object is moved by the same amount and in the same direction;
Rotation: the object rotates by the same amount around a fixed point;
Reflexion: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;
Glide Reflection: is a mirror reflection followed by a translation parallel to the mirror.
In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.
Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.
Statements:
A lullaby is a song.
No song is prose.
Some proses are epics.
Conclusions:
1. Some proses are songs.
II. Some epics are lullabies.
III. Some songs are lullabies.
A)Only Il follows
B)Only I follows
C)Only III follows
D) Neither of I, II or III follows
Answer:
Answer:
C)Only III follows
Step-by-step explanation:
Let's review the conclusions;
I. Some proses are songs.
This is false because of the statement; No song is prose.
II. Some epics are lullabies.
This is false because of the following statements; A lullaby is a song. and No song is prose.
III. Some songs are lullabies.
This follows because of the statement; A lullaby is a song.
The correct option is;
C)Only III follows
The correct conclusion based on the logical statements is C) Only III follows.
Logical Statements:1. A lullaby is a song.
2. No song is prose.
3. Some proses are epics.
Possible Conclusions:I. Some proses are songs.
II. Some epics are lullabies.
III. Some songs are lullabies.
The first conclusion that some proses are songs is not sound because the earlier claim is that "no song is prose." In the same light, the second conclusion is incorrect because a lullaby is usually a song as asserted in statement 1. While epics can be prose or poem, a lullaby is not prose but a poem or a song.
Thus, the correct conclusion based on the logical statements is C) Only III follows.
Learn more about logical statements and conclusions at https://brainly.com/question/18575348
Shown below is a prism.
The cross-sectional area is 21cm2.
The prism has a length of 6cm.
Find the volume of the prism.
Answer:
Volume = 126 cm^2
Step-by-step explanation:
You don't exactly know what the base looks like, but it doesn't matter. The volume of a Prism is Base * height.
Solution
V = Base (which is the Cross sectional Area) * Length
V = 21 cm^2 * 6 cm
V = 126 cm^2
What is y=- x +3 in standard form using integers?
Answer:
x+y = 3
Step-by-step explanation:
PLZ HELP
x-5(x-1) = x- (2x-3)
Answer:
Step-by-step explanation:
x-5(x-1) = x- (2x-3)
x + x *(-5) + (-1) * (-5) = x + 2x*(-1) + (-3)*(-1) {use distributive property}
x - 5x + 5 = x - 2x +3 {Combine like terms}
-4x + 5 = - x +3 {Add 'x' to both sides}
-4x + 5 + x = -x + x + 3
-3x + 5 = 3 {subtract 5 from both sides}
-3x = 3 - 5
-3x = -2 {Divide both sides by (-3)}
x = -2/-3
x = 2/3
in fractions we have to multiply 25 to get a hundred what do we do
Answer:
muliply 25 by 4
Step-by-step explanation:
25×4 =100
Answer:
*4
X 4
times it by 4
Step by step explanation:
25 + 25 + 25 + 25 = 100
therefore you added 25 four times so your answer is X by 4
Christian was 145 cm tall when he was 12 years old. And 3 years later, he became 168.2 cm tall. By what percent did Christian's height increase?
Answer: 16%
Step-by-step explanation:
168.2 - 145 = 23.2
23.2/145 = 0.16
0.16 as a percent is 16%
The percentage change of the height is A = 16 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Christian's height increased by
168.2 - 145 = 23.2 cm
To find the percentage increase, we need to divide the increase by the original height and then multiply by 100:
Percentage increase = (23.2 / 145) x 100%
Percentage increase = 0.16 x 100%
Percentage increase = 16%
Hence , Christian's height increased by 16%
To learn more about percentage click :
https://brainly.com/question/12861068
#SPJ3
2/7 divided by 6 can you answer my question
Answer:1/21
Step-by-step explanation:
Consider an exchange economy with two people, A and B, and two commodities, food (x) and water (y). A's and B's preferences are described, respectively, by the following utility functions:
ua(Xa,Ya)= X^2aYa, MRSa(Xa,Ya)=2Ya/Xa
ub(Xb,Yb)=XbY^2b, MRSb(Xb,Yb)=Yb/2Xb
Suppose there are 6 units of x and 6 units of y overall.
1. Draw an Edgeworth box for this economy.
2. Determine whether each of the following allocations is (i) feasible, (ii) Pareto efficient
a. ( (2,4), (4,2) )
b. ( (4,2), (2,4) )
c. ( ( 8 / 3 , 1 ), ( 10/3 , 5 ) )
can you help me solve this plz?
Answer:
x=5.6 y=4.8
Step-by-step explanation:
is 17.61 rational or irrational
Answer:
It is an Irrational Number
Solving the system of linear equations by graphing y= -2+5 and y=4x-1
Answer:
According to the table in both equation u can see the similar variables x=1, y=3
Step-by-step explanation:
Please I don't have graph with me
Someone please help me with these. I forgot how to do these. Need within a hour
Answer:
just add them
Step-by-step explanation:
Ken can walk 6 dogs in 4 hours. How many dogs can Ken walk in 10 hours?
Answer: 15 Dogs
Step-by-step explanation:
1.) Set up a ratio!
6 Dogs = ?
4 Hours 10 Hours
2.) Cross Multiply
6x10=60
60/4= 15