Answer:
4
Step-by-step explanation:
Given that:
There are 6 boxes of pencils, 14 boxes of pens and 16 boxes of paper.
Total number of original boxes = 6 + 14 + 16 = 36
To find:
Number of additional boxes of paper to be added so that the probability of getting a paper box while selecting a random box becomes exactly [tex]\frac{1}{2}[/tex].
Solution:
First of all, let us have a look at the formula of probability:
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, number of favorable cases will be equal to the number of paper boxes and
Total number of cases will be equal to the total number of boxes available.
Let us first calculate the original probability:
[tex]\frac{16}{36}\neq \frac{1}2[/tex]
If 1 paper box is added, then probability
[tex]\frac{17}{37}\neq \frac{1}2[/tex]
If 2 paper boxes are added, then probability
[tex]\frac{18}{38}\neq \frac{1}2[/tex]
If 3 paper boxes is added, then probability
[tex]\frac{19}{39} \neq \frac{1}2[/tex]
If 4 paper boxes is added, then probability
[tex]\frac{20}{40} = \frac{1}2[/tex]
Therefore, we need to add 4 paper boxes.
The probability of randomly selecting a box of paper from this shipment to be exactly 1/2 need to add 4 boxes.
Given that,
The shipment contains 6 boxes of pencils
And 14 boxes of pens, and 16 boxes of paper.
We have to find,
How many additional boxes of paper must be added to the original 36 boxes in order for the probability of randomly selecting a box of paper from this shipment to be exactly 1/2.
According to the question,
Total no. of original boxes = 6 + 14 + 16 = 36
Formula for probability of an event E can be observed as:
[tex]P(E) = \frac{Number \ of \ favourable \ cases}{Total \ number \ of \ cases }[/tex]
Here, number of favorable cases will be equal to the number of paper boxes,
Total number of cases will be equal to the total number of boxes available.
The probability of randomly selecting a box of paper from this shipment to be exactly 1/2 .
Let us first calculate the original probability:
[tex]\frac{16}{36} \neq \frac{1}{2}[/tex]
The probability of original paper boxes is not 1\2.
If 1 paper box is added, then probability,
[tex]\frac{17}{37} \neq \frac{1}{2}[/tex]
The probability of 1 paper boxes is not 1\2.
If 2 paper box is added, then probability,
[tex]\frac{18}{38} \neq \frac{1}{2}[/tex]
The probability of 2 paper boxes is not 1\2.
If 3 paper boxes are added, then probability,
[tex]\frac{19}{39} \neq \frac{1}{2}[/tex]
The probability of 3 paper boxes is not 1\2.
If 4 paper boxes is added, then probability,
[tex]\frac{20}{40} = \frac{1}{2}[/tex]
The probability of 4 paper boxes is 1\2.
Hence, The probability of randomly selecting a box of paper from this shipment to be exactly 1/2 need to add 4 boxes.
To know more about Probability click the link given below.
https://brainly.com/question/23044118
!!!!!HELP WITH THIS ONE QUESTION PLEASE!!!!!
Wilmer went up a hill for x minutes at a speed of y kilometers per minutes. Then he went down the same path at a speed of z kilometers per minute, and it took him w minutes to do it. Write an equation that relates x, y, z, and w. (The wording for this question really confuses me. And I do not understand which variable to put on it's own.) PLEASE ANSWER
Answer:
[tex]xy=wz[/tex]
Step-by-step explanation:
Given that:
Speed of Wilmer up the hill = [tex]y[/tex] km/min
Time taken up the hill = [tex]x[/tex] minutes
Speed of Wilmer down the hill = [tex]z[/tex] km/min
Time taken up the hill = [tex]w[/tex] minutes
Distance can be calculated by multiplying the Speed with Time i.e.
The formula for distance is given as:
[tex]Distance = Speed \times Time[/tex]
Distance up the hill = [tex]y\times x =xy\ kilometers[/tex]
Distance down the hill = [tex]z\times w =wz\ kilometers[/tex]
It is well known that, the distance up the hill and down the hill will be same.
Putting both the values equal, we get:
[tex]xy=wz[/tex]
Answer:
xy=wz
Step-by-step explanation:
Order these numbers from least to greatest.
NEEDS HELP NOW!
Answer:
5.275, 146/25, 5 17/20, 6.27
Step-by-step explanation:
This how you but this decimals and fractions from least to greatest. I hope this helps
han wears a hat to school every fourth day and a jacket to school every 6th day what will be the first day and will wear his jacket and hat to school on the same day
Answer:
24th day
Step-by-step explanation:
Find the geometric mean of 3 and 48.
Answer:
12
Step-by-step explanation:
Find three consecutive integers whose sum is 300
PLEASE PLEASE HELP ME I AM STUCK FIND ALL THE SOLUTIONS FOR X.
Answer:
Step-by-step explanation:
2
l6a - - 25b
[tex] {16a}^{2} - {25b}^{2} [/tex]
Answer:
(a+5b)⋅(a−5b)
Step-by-step explanation:
Plz help me with this
Answer:
So the arrow determine its starting and ending points.
Step-by-step explanation:
hope I helped.
f(x)=x²+2x-5 determine the vertex
Answer:
the point -5 is the vertex on the graph because it is the y-intercept.
Step-by-step explanation:
Answer:-16
dsfgdsggsgdsgsdg
BRAINLIEST TO THE CORRECT ANSWER
(9.16x10^-3)(5.5x10^10) Multiply, expressing the product in scientific notation.
Answer:
5.038×[tex]10^{8}[/tex]
Step-by-step explanation:
Answer:
5.038000000x10^8
Step-by-step explanation:
I have a app on my phone that tells you the answer. I think you could write in as (5.038x10^14
Eight friends purchase various supplies for a camping trip and agree to share the total cost equally. They
spend $85.43 on food, $32.75 on water, and $193.26 on other items. How much does each person owe?
Each person owes $
Answer:
Per person $38.93
Step-by-step explanation:
193.26+85.43+32.75=$311.44
$311.44 divided by 8=$38.93 per person
Best,
SunflowerJada
Can you guys answer these questions please i have allot of work and im trying to do multiple things answer will get brainliest
Answer:
first one - 30%
second - 15%
third - 40%
fourth - 20%
fifth - 75%
sixth - 70%
seventh - 88%
eighth - 25%
sorry but the last question is too blurry, can you type it and I can help you answer it?
Hope this helps.
Helppppppppppppppppppppppppp
please help!! 15 points
Answer:
? = 125°
Step-by-step explanation:
The central angle is equal to the measure of the arc that subtends it, thus
? = 125°
What is the slope of the line that passes through the points (2, 0)(2,0) and (1, 0) ?(1,0)?
Answer:
Step-by-step explanation:
Slop = (y2-y1)/(x2-x1)
= (0-0)/(2-1)
= 0/1
=0
Can someone help me plz thank you
Answer:The answer would be 43.75 so thank you :)
Step-by-step explanation:
Answer:
the total is $43.75 your welcome
If you square a number, the result will always be larger than the orignal number?
True of False?
Why or Why not?
Answer:
false
Step-by-step explanation:
1² = 1, not always true
Help? How do I do this.
Answer my math question I asked so many times I lost most of points by
Answer:
i think ur in a higher grade then me but im good w/ equations so OoOO0p
Step-by-step explanation:
equation: y = x - 6 + x^2
(6,0) (7,1) (8,4) (9,9)
I figured this out by looking at the point (6,0). To get 0 (y), you have to subtract 6. Knowing this, I subtracted 6 from the rest of the coordinates, leaving me with numbers that are able to be squared to get y. This led me to the equation x - 6 + x^2.
Sue makes bracelets. She uses
8
1
4
inches of chain to make one bracelet. How many bracelets can she make from a chain that is
49
1
2
inches long?
9514 1404 393
Answer:
6
Step-by-step explanation:
We estimate the number as 49/8 ≈ 6. We can check to see if this is too many by finding the chain required for 6 bracelets:
6 × 8 1/4 = 6×8 +6×1/4 = 48 +6/4 = 49 1/2
Sue can make 6 bracelets.
_____
You can also divide the total length of chain by the amount per bracelet:
(49 1/2)/(8 1/4) = (99/2)/(33/4)
= (99/2)(4/33) = (99/33)(4/2)
= (3)(2) = 6
Answer:
6
Step-by-step explanation:
We estimate the number as 49/8 ≈ 6. We can check to see if this is too many by finding the chain required for 6 bracelets:
6 × 8 1/4 = 6×8 +6×1/4 = 48 +6/4 = 49 1/2
Sue can make 6 bracelets.
_____
You can also divide the total length of chain by the amount per bracelet:
(49 1/2)/(8 1/4) = (99/2)/(33/4)
= (99/2)(4/33) = (99/33)(4/2)
= (3)(2) = 6
~ You're Welcome!! Asia
if a baby is born at 6.6 lbs and 19 inches long, then what is the baby's weight in kg? Note (2.2 lb = 1 kg)
Answer choices:
A. 4.0 kg
B. 3.0 kg
C. 14.52 kg
D. .33 kg
E. 8.6 kg
Answer:
B
Step-by-step explanation:
2.2lb = 1 kg
6.6/2.2=3.0kg
The correct weight of the baby is given by option B) 3.0 kg
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here, the baby's weight as 6.6 lbs and 1 lb=0.45 kg
Thus 6.6 lbs=6.6×0.45
= 3.0 ( approx)
Hence, The correct weight of the baby is given by option B) 3.0 kg
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ2
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer: 45 degrees
Step-by-step explanation:
Base angle theorem states that the base angles of an isosceles triangle are congruent, or the same.
That is not any help at all!!
what is the problem
if you shift the reciprocal parent function, f(x)=1/x, right 4 units, what is the equation of the new function
Answer: I think it is f(x)=1/(x-4)
Step-by-step explanation:
By taking f(x), and applying a left or right and/or up or down transformations to it, the function could be written using the equation f(x-h)+k.
Doing so will make the graph of the function move h units to the left or right. (Positive or negative) (make sure the operation before the h is subtraction when determining the sign of h)
Also, when finding k (up and down) (positive or negative) apply this function.
f(x)=(x-h)+k
As a result, plug in your right 4 units as h, and since you are not needing to move up or down k would be 0. So, f(x)=1/(x-(4))+0 or simplified, f(x)=1/(x-4)
Answer:
F(x)=1/x-4
Step-by-step explanation:
4p3x
14x-76+8x+2=180 solve for x
please help meeee
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]14x - 76 + 8x + 2 = 180[/tex]
[tex]14x + 8x + 2 - 76 = 180[/tex]
[tex]22x - 74 = 180[/tex]
Add sides 74
[tex]22x - 74 + 74 = 180 + 74[/tex]
[tex]22x = 254[/tex]
Divide sides by 22
[tex] \frac{22}{22} x = \frac{254}{22} \\ [/tex]
[tex]x = \frac{127}{11} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
x = [tex]\frac{127}{11}[/tex]
Step-by-step explanation:
14x - 76 + 8x + 2 = 180
Collect like terms;
22x - 74 = 180
Add 74 to both sides;
22x = 254
Divide both sides by 22;
x = [tex]\frac{254}{22}=\frac{127}{11}[/tex]
pls halp
is the function even, odd, or neither and why
Answer:
ODD function
Step-by-step explanation:
Notice that there are two curves. Any point on one curve reflected through the origin is found on the other curve. In other words, the curves are symmetric with respect to the origin. Such curves typify ODD functions.
Apples: $(2x) per pound
Grapes: $(6x - 5) per pound
Oranges: $(x + 2) per pound
A shopper purchases one pound each of
apples, grapes, and oranges and spends
$10.50. How much is spent on each type
of fruit?
Answer:
x= 1.5 $
Step-by-step explanation:
Hi there,
This is a tough question. Let us find out how to tackle it.
From the problem, we see that we 'll have to find x to figure out how much each type is. The only real number of money we get is 10.50$ - the amount the shopper spent. Let's divide this money into respective parts:
He bought 1 pound of apple => the cost of all the apple he bought is 1 ( pound) × (2x) ($ per pound) = 2x $
Do the same with Grapes and Oranges, we can easily see that he spent 6x-5 $ on grapes, x+2 $ on oranges.
The total amount he spent 10.50$ is now equal to (2x) + (6x-5) + (x+2).
Next we can change this equation, just so we find x easier:
10.50$ = (2x) + (6x-5) + (x+2)
10.50$ = 2x + 6x + x + 2 - 5
10.50$= 9x - 3
13.50$= 9x
x= 1.50 $
Thus, we can now calculate the price of each type. Apples are 3$ per pound, grapes are 4$ per pound, oranges are 3.50$ per pound.
HOPE YOU'LL LEARM WITH JOY AND GOOD GRADE
Answer:
Shopper spend on Apples $3 , on Grapes $4 and on Oranges $3.5
Step-by-step explanation:
We are given:
Apples: $(2x) per pound
Grapes: $(6x - 5) per pound
Oranges: $(x + 2) per pound
A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.
It can be written as: [tex]2x+6x-5+x+2=10.50[/tex]
We need to find how much the shopper spend on each fruit.
Solution:
Now, we need to find value of x by solving equation
[tex]2x+6x-5+x+2=10.50[/tex]
Solving:
[tex]2x+6x+x+2-5=10.50\\9x-3=10.50\\9x=10.50+3\\9x=13.5\\x=\frac{13.5}{9}\\x=1.5[/tex]
The value of x is: x=1.5
Now finding cost of one pound each fruit by putting x=1.5
Apples: $(2x) per pound
$2x= 2(1.5) = $3
Grapes: $(6x - 5) per pound
$(6x-5) = (6(1.5)-5)= $4
Oranges: $(x + 2) per pound
$(x+2)=(1.5+2)=$3.5
So, shopper spend on apples $3, on Grapes $4 and on Oranges $3.5.
Christina estimated 188% of 91 by performing these steps. What did she do wrong?
(90) (190 percent) = (90) (100 percent + 90 percent) = (90) (100 percent) + (90) (90 percent) = (90) (1.0) + (90) (0.9) = 90 + 18 = 108.
She rounded 188% up to 190%.
She rounded 91 down to 90.
She incorrectly broke 190% into 100 percent + 90 percent.
She incorrectly multiplied 90 and 0.9.
Answer:
D) she incorrectly multiplyed 90 and 0.9.
Step-by-step explanation:
hope this helps! i got 100 on the quiz on edge
Answer:
D
Step-by-step explanation:
Answer the questions below please
Answer: For question #1, it’s #3. For question #2 a) it’s –12/5, for question #2 b, c and d) uh, let someone else can answer the rest of the question.
Step-by-step explanation: I solve the problem by solving this equation below.