A bag of M&Ms contains 7 blue, 4 brown, 4 orange, 2 yellow, 3 red, and 3
green. Reaching into the bag, a person grabs 5 M&Ms.
What is the probability of getting 3 blues?
Answer:
0.1248 = 12.48% probability of getting 3 blues.
Step-by-step explanation:
The M&Ms are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes 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 successes.
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]
In this question:
7 + 4 + 4 + 2 + 3 + 3 = 23 total M&Ms, which means that [tex]N = 23[/tex]
Sample of 5 means that [tex]n = 5[/tex]
7 blue means that [tex]k = 7[/tex]
What is the probability of getting 3 blues?
This is P(X = 3).
[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 = 3) = h(3,23,5,7) = \frac{C_{7,3}*C_{16,2}}{C_{23,5}} = 0.1248[/tex]
0.1248 = 12.48% probability of getting 3 blues.
A bottler of drinking water fills plastic bottles with a mean volume of 993 milliliters (mL) and standard deviation of 4 mL. The fill volumes are normally distributed. What proportion of bottles have volumes between 991 mL and 997 mL?
Answer:
52.38%
Step-by-step explanation:
P(991<X<997) = normalcdf(991,997,993,4) = 0.5328, therefore, about 52.38% of the bottles have volumes between 991 mL and 997 mL
The required proportion of bottles have volumes between 991 mL and 997 mL is 53.28%
Given that,
A bottler of drinking water fills plastic bottles with a mean volume of 993 milliliters (mL),
And standard deviation of 4 ml. The fill volumes are normally distributed.
We have to determine,
What proportion of bottles have volumes between 991 mL and 997 mL.
According to the question,
Mean of the drinking bottle = 993ml
[tex]\mu = 993[/tex]
And standard deviation of = 4 mL
[tex]\sigma = 4[/tex]
The proportion of bottles have volumes between 991 mL and 997 mL is,
[tex]= P (991<X<997) \\\\= P ( \dfrac{991-993}{4} <X < \dfrac{997-993}{4}) \\\\P( -0.5 < X < 1) = 0.5328 = 53.28\ percent[/tex]
Hence, The required proportion of bottles have volumes between 991 mL and 997 mL is 53.28%.
To know more about Proportion click the link given below.
https://brainly.com/question/4312900
PLEASE HELP ASAP!!!!!!
The table below shows the lowest temperature, in degrees fahrenheit, on each of 5 days. What is is mean lowest temperature, in degrees fahrenheit, in the city for those 5 days?
-36
-25
12
-3
18
Answer: -6.8
Step-by-step explanation:
First you have to find the mean of all the #’s so to do that you will have to add all the #’s up including the negatives and you would get -34, after you do that you will have to divide by 5 and get -6.8
The scale drawing of a room to be 3 inches by 4 1/2 inches. carpet, which is $15.00 per square yard, is to be installed in the room
Answer:
$202.5
Step-by-step explanation:
13.5 sqyd area
13.5 x 15= $202.5
SUSHMA BOUGHT A SAREE FROM THE MALL. SHE PAID RUPEES 2640 FOR IT. WHEN SHE CAME HOME SHE MEASURED THE LENGTH OF THE SAREE AND FOUND THAT THE SAREE WAS HALF METRE LESS IN LENGTH THAN THE SHOPKEEPER HAD TOLD HER. SHE FOUND THAT SHE IS AT LOSS OF RUPEES 220 BECAUSE OF THIS. WHAT IS THE LENGTH OF THE SAREE WHEN AHE CAME HOME???
This is the question. please do with statements and working. will mark you brainliest.
Answer:
Let the length of the sari be xm
cost of
2
1
=Rs 220
then cost of 1m=2(Rs220)=Rs440
Cost of the sari =x(Rs440)=Rs440x
But given that the cost of sari =Rs2640
Implies that
440x = 2640
Implies that
x=
440
2640
x=6
What is P(Foreign Language n Sport)?
Answer:
[tex]P(Foreign\ Language\ n\ Sport) = \frac{7}{25}[/tex]
Step-by-step explanation:
Given
See attachment for Venn diagram
Required
Determine [tex]P(Foreign\ Language\ n\ Sport)[/tex]
First, we calculate the population of the set.
This is calculated as:
[tex]Total = Sport + Foreign\ Language + None + Both[/tex]
This gives
[tex]Total = 23 + 10 + 3+14[/tex]
[tex]Total = 50[/tex]
So, the required probability is:
[tex]P(Foreign\ Language\ n\ Sport) = \frac{n(Foreign\ Language\ n\ Sport)}{Total}[/tex]
[tex]P(Foreign\ Language\ n\ Sport) = \frac{14}{50}[/tex]
14 represents the intersection between Foreign and Sport i.e. n(Foreign n Sport)
So, we have:
[tex]P(Foreign\ Language\ n\ Sport) = \frac{7}{25}[/tex]
This hyperbola is centered at the
origin. Find its equation.
Foci: (-4,0) and (4,0)
Vertices: (-3,0) and (3,0)
Answer:
The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Step-by-step explanation:
Given the data in question;
hyperbola is centered at the origin, this means h and k are all equals to 0.
Vertices: (-3,0) and (3,0)
Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.
h - a = -3
0 - a = -3
a = 3
Foci: (-4,0) and (4,0)
h - c = -4
0 - c = -4
c = 4
we know that, for a hyperbola
c² = a² + b²
so
⇒ ( 4 )² = ( 3 )² + b²
16 = 9 + b²
b² = 16 - 9
b² = 7
So the equation for the hyperbola will be;
⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1
so we substitute
⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1
⇒ ( x² / 3² ) - ( y² / 7 ) = 1
⇒ ( x² / 9 ) - ( y² / 7 ) = 1
Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1
A shipment of sugar fills 6 containers. If each container holds 3 3/4
tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
Step-by-step explanation:
Firstly, change the mixed fraction into improper fraction.
Secondly, multipy 6 containers by 15/4 to get total tons of sugar.
Thus 6*15/4=22.5
can someone answer my questions please ._.
Answer:
wheres the question?
Step-by-step explanation:
Answer:
whats your question
Step-by-step explanation:
hahahbh
4. Two cylinders have dimensions in the ratio of 2:3. The smaller cylinder has a surface area of 16 cm.
What is the surface area of the larger cylinder?
Answer:
(cross multiply)
2:3
16:X
2X=16×3
2x=48
x=48÷2
x=24
Amanda has $227 worth of bills in her purse. She has six more $5 bills than $10 bills. The number of $1 bills is three fewer than 25 times the number of $10 bills. How many bills of each kind does Amanda have.
Answer:
$10 = 5 $5 = 11 $1 = 122
Step-by-step explanation:
i take the same class
Answer:
$10 = 5 $5 = 11 $1 = 122
Step-by-step explanation:
I checked of RSm
need help asap WILL GIVE BRAINLIEST
A researcher reported the results from a particular experiment to the scientist who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.18. Based on this p-value, what should the scientist conclude?
The test was not statistically significant because 2 × 0.18 = 0.36, which is less than 0.5.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 18% of the time.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 82% of the time.
The test was statistically significant because a p-value of 0.18 is greater than a significance level of 0.05.
The test was statistically significant because p = 1 − 0.18 = 0.82, which is greater than a significance level of 0.05.
Answer:
B
Step-by-step explanation:
I got it wrong but it showed me the right answer so, yea
What is the period of f(x) = sin(x)?
Answer:
2π!
Step-by-step explanation:
edge :)
What is the value of (−2)3 ?
Group of answer choices
-5
-6
-8
8
9514 1404 393
Answer:
-6 or -8, depending on what you mean
Step-by-step explanation:
(-2)3 = -(2)(3) = -6
__
(-2)^3 = (-2)(-2)(-2) = -(2)(2)(2) = -8
Which one is correct?
Answer:
The first one (A) is the answer I got!
Step-by-step explanation:
Answer:
B = 706.5
Step-by-step explanation:
here you are given the diameter you need to First find a radius and radius is half of the diameter which is equal to 30 /2 = 15
Area of the circle is
[tex]\pi \: r { }^{2} [/tex]
3.14× 15×15 = 706.5
You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
Need help ASAP it’s due tonight and I don’t understand
Answer:
13 of August,
Step-by-step explanation:
All of them worked together at day number zero (August 1).
We know that Elvis works every 3rd day
So he will work at:
day 3, day 6, day 9, etc.
We know that Izzy works every 4th day, then she will work at:
day 4, day 8, day 12, etc.
We know that Janaisa works every 6th day, so she will work at:
day 6, day 12, etc.
We just need to find a day where the 3 of them work, this is equivalent to finding a common multiple of the numbers: 3, 4 and 6.
To do it, we can just write the multiples of each one of these numbers and see which one is the first common multiple:
3)
3*1 = 3
3*2 = 6
3*3 = 9
3*4 = 12
3*5 = 15
...
4)
4*1 = 4
4*2 = 8
4*3 = 12
4*4 = 16
...
6)
6*1 = 6
6*2 = 12
So we can see that 12 is a common multiple of the 3 numbers.
Then they will work together 12 days after August 1th.
That would be the 13 of August,
Answer this simple quick question!! Pls :)
Answer:
Either B or C.
Step-by-step explanation:
Sorry if that is not very helpful. I would do C but I am not 100% sure. so sorry.
completa la tabla sobre el caso 6
Answer:
no me deja ver
Step-by-step explanation:
An ice cream shop sold 56 vanilla milkshakes in a day, which was 25% of the total number of milkshakes sold that day. what was the total number of milkshakes that the ice cream shop sold that day?
Answer:
224
Step-by-step explanation:
1. Yolanda está construyendo un patio en la parte trasera de su casa. Ella quiere usar
ladrillo y madera para el suelo del patio. A continuación se muestra el plano que ella
ha diseñado para el patio. Todas las medidas están expresadas en pies.
Usa la propiedad distributiva y la forma factorizada para mostrar dos
expresiones equivalentes que representen el área del patio.
3
X
12.5
ladrillo
madera
What is the volume of the shaded portion of the
composite figure? Express your answer in terms of ..
15
12
5197 units
O 6812 units
O (6003 - 81) units
(600 – 817) units
10
Answer:
d. (600 - 81π) units ³
Step-by-step explanation:
Volume of the shaded portion = volume of triangular pyramid - volume of cone
= ⅓*A*h - ⅓πr²h
Where,
A = 15*10 = 150 units²
r = ½(9) = 4.5 units
h = 12
Plug in the values
Volume of the shaded portion = ⅓*150*12 - ⅓*π*4.5²*12
= (600 - 81π) units³
Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, the trait differs substantially for males and for females. Researchers studied the relationship between weight (x) and tail-feather length (y) in a sample of five wild male longtailed finches. Here are the data:
Weight Tail Length
20.5 82.5
19.1 82.5
15.9 67
16.7 70.5
15.7 73.5
The value of the linear correlation coefficient between weight and tail feather length is approximately : _________
Answer:
Step-by-step explanation:
it's about 18, as per the graph
ahhhhhhhhhhhhhhhhhhhhhhh
Answer:
Its 9
Step-by-step explanation:
I did this in 5th grade... All you gotta do is count and there's 4 in the bottom aka 2 rows of 4 and there's 1 block on the top its 9
4+4+1=9
4+4=8
Add a 1 etc.
Wanda Earned $350 babysitting over the months of July and August. She earned $90 more in August than in July. How much did she earn babysitting in July? In August?
Answer:
85
Step-by-step explanation:
350/2= 175
175+90= 265
350-265=85
is table salt an Electrolyte?
Answer:
v
Step-by-step explanation:
Answer: the two electrolytes are the key ingredients in table salt and salt tablets
Two electrolytes, sodium and chloride, are the key ingredients in table salt and in salt tablets. These tablets have been used for many years to treat heat cramps and restore electrolytes lost through sweating
Step-by-step explanation:
What is the radius of a circle if the circumference is 660 cm
Answer:
105.4
Step-by-step explanation:
for triangle ABC find the measure of angle A.
Answer:
A= 63
Step-by-step explanation:
the both sides are equal so it will be 63 and 63
angle c would be 54
Adding all the sides would give 180 as all sides equal 180
What is the area of singapore flyer wheel.
Answer:
33,700m2 Land area: Singapore Flyer stands on 33,700m2 or 363,000 ft2 – an area that will fit 172 tennis courts or 1,120 parking lots. 471 meters is the real answer to the problem
Step-by-step explanation:
Plz brainlist
Please help me with the two questions!
Answer:
[tex]3)\ x = 8[/tex]
[tex]4)\ x = 12[/tex]
Step-by-step explanation:
Given
The similar triangles
Required
Solve for x
TUV to TLM implies that, the corresponding sides are:
[tex]TU \to TL[/tex]
[tex]TV \to TM[/tex]
[tex]UV \to LM[/tex]
To solve for x, we use the following equivalent ratios
[tex]TV : TM =TU:TL[/tex]
This gives:
[tex]24 : x + 8=36 : 24[/tex]
Express as fraction
[tex]\frac{24 }{ x + 8} =\frac{36 }{ 24}[/tex]
Cross Multiply
[tex]36(x + 8) =576[/tex]
Divide both sides by 36
[tex]x + 8 =16[/tex]
Subtract 8 from both sides
[tex]x = 8[/tex]
FGH to WVU implies that, the corresponding sides are:
[tex]FG \to WV[/tex]
[tex]FH \to WU[/tex]
[tex]GH \to VU[/tex]
To solve for x, we use the following equivalent ratios
[tex]FH : WU =FG:WV[/tex]
This gives:
[tex]x + 3 : 5 = 27 : 9[/tex]
Express as fraction
[tex]\frac{x + 3 }{ 5 }= \frac{27 }{ 9}[/tex]
[tex]\frac{x + 3 }{ 5 }= 3[/tex]
Cross Multiply
[tex]x + 3 = 3 * 5[/tex]
[tex]x + 3 = 15[/tex]
Subtract 3 from both sides
[tex]x = 12[/tex]