Answer:
0.5622 = 56.22% probability of getting no browns.
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:
13 + 5 + 10 + 8 + 8 + 4 = 48 total M&Ms, which means that [tex]N = 48[/tex]
Sample of 5 means that [tex]n = 5[/tex]
5 browns means that [tex]k = 5[/tex]
What is the probability of getting no browns?
This is P(X = 0).
[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(0,48,5,5) = \frac{C_{5,0}*C_{43,5}}{C_{48,5}} = 0.5622[/tex]
0.5622 = 56.22% probability of getting no browns.
Which one A B C or D?
Answer:
Step-by-step explanation:
D
Answer:
D
Step-by-step explanation:
(1,4) (2,7) (3,10) (4,13) find the equation in slope-intercept form.
Answer:
y = 3x + 1
Step-by-step explanation:
The way you find slope is change in y over change in x, (as a fraction).
So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.
Answer this for 10 points
Answer:
Equations would be;
30 + 50 + y = 180
and
y = 180 - 80
Additional:
If you are looking for y and u value then here they are:
y = 100°
u = 25°
Hope this helps!
calculate the gross margin if the selling price is $264 and the cost is $214
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
To calculate the gross margin, we need to deduct from the selling price the unitary cost:
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50
WILL GIVE BRANLIST Probability Event:
You have a deck of 20 cards numbered 1-20. You draw a card from a deck and keep it. The next person draws another card. What is the probability you will both draw an even card?
Label the probability event above as either
A
Independent
B
Dependent
Answer:
9/38
Step-by-step explanation:
The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.
What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length
Answer:
A .part of a line that has two end points
SOMEONE HELP ME ILL GIVE YOU 20 POINTS MATH
I cannot quite show this to you, but the coordinates are listed below. If you want to know how you would answer this type of question, read the following. The question is indicating that you must translate. This means to move the figure however many units. In this question, it says 5 units to the right and 4 units down. You would take the bolded point and drag it 5 to the right. Then, from that point, drag it 4 units down.
Point in original: (-7,3)
Point in final figure:(-2,-2)
Hope this helps!
Activity 4:
roup
Evaluate 2x + 5 if:
1. X=5
2. X=4
3. X=-7
4. x = 0
5. x= 13
please anwer it
Answer:
1. 15
2. 13
3. -9
4. 5
5. 31
just put the values in the given equation.
:)
Arrange from shortest to longest. 3/8, 3/6, 3/4.
Answer: it already is.
Step-by-step explanation: The more pieces are cut, the smaller they get so the bigger the denominator, the bigger the piece
Chapter 4 Exam: Dimensional Analysis
question 10 of 10
10.)
A recycling company makes $500 per ton of aluminum scrap collected. If the company collects 200 pounds of aluminum scrap per day, how
many days are needed to make $2500? (Tip: One ton equals 2000 pounds).
Answer:
50 days are needed to make $2500.
Step-by-step explanation:
Number of tons per day:
One ton equals 2000 pounds, as the problem states as a hint.
The company collects 200 pounds per day.
1 ton - 2000 pounds
x tons - 200 pounds
2000x = 200
x = 200/2000
x = 0.1
0.1 tons per day.
A recycling company makes $500 per ton of aluminum scrap collected.
0.1*500 = $50 per day.
How many days are needed to make $2500?
1 day - $50
x days - $2500
50x = 2500
x = 250/5
x = 50
50 days are needed to make $2500.
The square of an integer is 5 more than 4 times the integer. Find the integer.
Answer:
The integer can be -1 or 5.
Step-by-step explanation:
Let an integer is x.
ATQ,
The square of an integer is 5 more than 4 times the integer.
[tex]x^2=5+4x[/tex]
or
[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]
It is a quadratic equation. Using middle term splitting,
[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]
So, the integer can be -1 or 5.
If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5
Let the unkown integer be "x"
The square of an integer is expressed as x^2
5 more than 4 times the integer is expressed as [tex]4x +5[/tex]
Equate both expressions to have:
[tex]x^2 = 4x + 5\\[/tex]
Equate to zero and factorize:
x^2 - 4x - 5 = 0
x^2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and 5
Hence the integers are -1 and 5
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Angela eats ⅜ box of cereal every day. How many boxes does she eat in one week?
Answer:
2 5/8 boxes of cereal in one week
Find the x-intercept of the following equation: 9x^2 + 2y=18
Step-by-step explanation:
To get the x-intercept, set y = 0. Then solve for x:
[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]
Therefore, the x-intercept is
[tex]( \sqrt{2} \: \: \: \: 0)[/tex]
Answer all of the questions below in order to determine the volume of the rectangular prism. 10 3 5 Press the play button: play You must answer all questions above in order to submit. attenpt 1 out of a
I need help with this please. 20 points
please help someone
Answer:
10, 50, 150
Step-by-step explanation:
i just did it lol.
PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answer:
a is 23 1/24 or 553/24 and b is 109 43/87
Step-by-step explanation:
Sam and you are going to paint your room together.
Sam takes 10 minutes to paint 25 square feet.
It takes you 5 minutes to paint 25 square feet.
Sam says, "If we paint together, then it will take 15
minutes for us to cover 50 square feet."
Give an explanation to convince Sam that she is
incorrect
Answer:
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
Step-by-step explanation:
The together rate is the sum of the separate rates.
In this question:
Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.
Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.
Together rate:
[tex]\frac{1}{x} = \frac{1}{20} + \frac{1}{10}[/tex]
[tex]\frac{1}{x} = \frac{1}{20} + \frac{2}{20}[/tex]
[tex]\frac{1}{x} = \frac{3}{20}[/tex]
[tex]3x = 20[/tex]
[tex]x = \frac{20}{3} = 6.67[/tex]
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
Two sides of a parallelogram are 8.5 feet and 3.8 feet. The measure of the angle
between these sides is 107º. Find the area of the parallelogram to the nearest 10th of
a square foot.
Answer: 30.9
Step-by-step explanation:
Delta math
The area of parallelogram is 30.9 ft²
Step-by-step explanation:Definition of parallelogram and its areaThe area of a parallelogram is defined as the region or space covered by a parallelogram in a two-dimensional plane. A parallelogram is a special kind of quadrilateral. If a quadrilateral has two pairs of parallel opposite sides, then it is called a parallelogram.
Let the sides of a parallelogram a, b and height h.
Now the area of parallelogram= a*h
given data are
angle between two sides =107°
and sides are a=8.5 feet and b=3.8 feet
The height of the parallelogram [tex]h= bsin\alpha[/tex]
now height [tex]h= 3.8*sin107\\h=3.634 feet[/tex]
Now the area of parallelogram = 8.5*3.634
Now the area of parallelogram=30.9 ft²
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There are 500 students in school. 40% of them are boys and the rest are girls. What is the percentage of girls? And find the number of boys and number of girls in the school
28÷7×1/4
no links pls
Answer:
1 is the answer
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
first, you divide 28 by 7 and get 4, then multiply 4 by 1 which is 4, finally divide 4 from 4 with is 1
((28/7)*1)/4=1
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Which two sports use the dribble skill pattern as part of the game?
Soccer and basketball
Soccer and football
Basketball and rugby
Basketball and tennis
Answer:
SOCCER AND BASKETBALL
mark me brainliest
Step-by-step explanation:
Answer:
soccer and baskball
Step-by-step explanation:
because in basketball you have to dribble the ball with your hands and in soccer you have to dribble the ball with your feet by going back and forth.
If a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is: a. $213.60 b. $6,408.00 c. $6,621.60 d. $17,225.81
Answer:
Correct Answer:
C: $6,621.60
(EDGE 2021)
Step-by-step explanation:
The maximum amount of Social Security tax that could ever be charged in a single year exists $6,621.60.
What is Social Security tax?Social Security exists financed through a reliable payroll tax.
Knowing that a 6.2% Social Security tax exists applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year stands at $6,621.60. Social Security offers all but unemployment insurance.
Therefore, the correct answer is option c. $6,621.60
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I need help plz I have a time test plz
Answer:
interest = $600
Step-by-step explanation:
for simple interest,
I = PTR/100
Principal (P) = $5000
Time (T) = 3 YEARS
Rate(R) = 4%
therefore, Interest (I) = $5000 × 3 × 4 / 100
= $ 600
fasting for Amazon on the natural
What??????????????????
Find the measure of a 3.
ts
43
90°
<<
43 = [?]
The correct answer is 90
Find the next three terms of the arithmetic sequence 5, 11, 17, 23,...
29, 34,38
O 25,31,37
O 28, 33,38
O 29, 35, 41
Answer:
29, 35, 41
Step-by-step explanation:
The difference is always 6
Select the correct answer.
Becky wants to make a sculpture in the shape of a rectangular prism for the science fair. The sculpture will be made of cubic foot of clay and will have a base area of square foot. How tall will the sculpture be?
A.
foot
B.
foot
C.
foot
D.
foot
E.
foot
The height of the rectangular sculpture is h = ( 20/21 ) feet
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the rectangular sculpture be V
Now , the value of V = ( 16/21 ) feet³
And , the base area of the rectangular sculpture B = ( 4/5 ) feet²
Volume of Rectangle = Area of Rectangle x Height
On simplifying , we get
The height of the sculpture h = ( 16/21 ) feet³ / ( 4/5 ) feet²
The height of the sculpture h = ( 20/21 ) feet
Therefore , the value of h is ( 20/21 ) feet
Hence , the height of the sculpture is ( 20/21 ) feet
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The list shows the amount of snow, in inches, that fell each day for 5 days.
8, 3, 12, 1,1
What is the mean daily snowfall?
O A. 1 inch
B. 3 inches
OC, 4 inches
D. 5 inches
Answer:
5 inches
Step-by-step explanation:
add all them and divide by 5.
What is the least natural number that is greater than 10 and has a remainder of 5 when divided by 6, has a remainder of 5 when divided by 9, and has a remainder of 5 when divided by 12?
Answer:
41
Step-by-step explanation:
I am essentially going through every multiply of 12 and then adding 5 to it, because we are using the rule that it should have a remainder of 5. It should also be a remainder of 5 if divided by 6 and 9 as well.
12 + 5 = 17
17/6 = 2 R 5
17/9 = 1 R 8
24 + 5 = 29
29/6 = 4 R 5
29/ 9 = 3 R 2
36 + 9 = 41
41/6 = 6 R 5
41/9 = 4 R 5
Hence, the number is 41
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation6:
A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
288
Step-by-step explanation:
you would do 180 devided by 3 then multiply that number by 5
Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?
First lets find the total number of cookies
12*4=48
48 cookies
Number of cookies eaten
5*2=10
10 were eaten
Cookies left
48-10=38
38/48=19/24
19/24 of the cookies are left
Answer:
38 are left
Step-by-step explanation: