Answer: a) 0.0125 b) 0.1454 c) Mean = 5.7, standard deviation = 1.73
Step-by-step explanation:
Let x = Number of children say that chocolate chip cookie is their favorite kind of cookie.
x follows binomial distribution.
Binomila distribution formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where p = probability in each trial, n = sample size, x= number of successes
Sample size : n= 12, p=0.475
a)
[tex]P(x\geg10)= P(x=10)+P(x=11)+P(x=12)\\\\=\ ^{12}C_{10}(0.475)^{10}(1-0.475)^{2}+^{12}C_{11}(0.475)^{11}(1-0.475)^{1}+^{12}C_{12}(0.475)^{12}(1-0.475)^{0}\\\\=\dfrac{12!}{2!10!}(0.475)^{10}(0.525)^{2}+(12)(0.475)^{11}(0.525)^{1}+(1)(0.475)^{12}\\\\\approx0.0125[/tex]
b)
[tex]P(x=4)= ^{12}C_{4}(0.475)^4(0.525)^{8}\\\\=\dfrac{12!}{4!8!}(0.000293798)\\\\=0.1454[/tex]
c) Mean = np
= (12)(0.475) =5.7
Standard deviation = [tex]\sqrt{np(1-p)}[/tex]
[tex]=\sqrt{12\times0.475\times0.525}\\\\=\sqrt{2.9925}\approx1.73[/tex]
so my brother asked another question. He asked what is the rectangular room measures 224 square feet. One side of the room is 14 feet long. what is the perimeter of the room? how the question goes. (the rectangular room measures 224 square feet. One side of the room is 14 feet long. what is the perimeter os the room?
Answer:
The perimeter of the room is 60 feet.
Step-by-step explanation:
If the area of the room is 224 square feet, and one side is 14 feet, then the other side is 224/14 feet, or 16 feet.
This gives us the dimensions of the room, 14 x 16.
From this, we can calculate the perimeter, which would be 2(14+16), or 60.
Let me know if this helps!
Answer:
Step-by-step explanation:
The perimeter of the room is 60
Solve each equation for the
1) g=C+a, for a
In ΔRST, t = 9.5 inches, ∠R=149° and ∠S=12°. Find the length of r, to the nearest 10th of an inch.
Answer:
15
Step-by-step explanation:
Its right bro trust me
3.6y = 1.6y + 24
Help
Answer:
y = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3.6y = 1.6y + 24
Step 2: Solve for y
[Subtraction Property of Equality] Subtract 1.6y on both sides: 2y = 24[Division Property of Equality] Divide 2 on both sides: y = 12Step 3: Check
Plug in y into the original equation to verify it's a solution.
Substitute in y: 3.6(12) = 1.6(12) + 24Multiply: 43.2 = 19.2 + 24Add: 43.2 = 43.2Here we have 43.2 does indeed equal 43.2.
∴ y = 12 is the solution to the equation.
find the missing side length
I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
Answer:
Step-by-step explanation:
im sorry if this is wrong im trying to do it but is it ummmm b)
im prop wrong
Will mark brainliest for whoever answers
Answer:
yam po sagot pa brainliest
HELP PLS I WILL MARK BRAINLIEST!!!!
Answer:
1=1
2=1
3=1
4=0
5=0
6=0
7=0.
Hope It Helps!
Can someone please help me?
Answer:
The angle between the two sides of the right triangle is aproximately 31.003º.
Step-by-step explanation:
From image attached on question we infer that we need to find the angle between sides of lengths 6 (adjacent leg) and 7 (hypotenuse) in the right triangle. The angle can be found by means of this trigonometric ratio:
[tex]\cos \alpha = \frac{6}{7}[/tex]
[tex]\alpha = \cos^{-1} \frac{6}{7}[/tex]
[tex]\alpha \approx 31.003^{\circ}[/tex]
The angle between the two sides of the right triangle is aproximately 31.003º.
Mean, Median, Mode and Range. Easy hard math. Please show work and give answers . Need help appreciate you all
Quiz Scores:
You and your friend are having a friendly competition about the scores on your math quizzes. Both of your scores for the first five quizzes are given below:
Your quiz scores: 18, 16, 19, 15, 17
Friend’s quiz scores: 20, 20, 13, 12, 17
a. Find the mean, median, and mode of both sets of data.
b. Which person – you or your friend – has the higher mean?
World Populations:
The populations (in millions) in 2000 on each of the six inhabited continents were:
803, 487, 348, 368, 730, and 31
a. What is the range of the populations?
b. Find the mean, median, and mode(s) of the populations.
Tomato Plants:
The heights (in inches) of eight tomato plants are:
36, 45, 52, 40, 38, 41, 50, and 48
a. What is the range of the tomato plant heights?
b. Find the mean, median, and mode(s) of the tomato plant heights.
Answer:
:)
Step-by-step explanation:
quiz scores:
a. arrange them all from least to greatest to figure out the median first
your quiz: 15, 16, 17, 18, 19 middle # = 17 median = 17
friend's quiz: 12, 13, 17, 20, 20 middle # = 17 median = 17
now for mean add all of your quiz scores up and divide by how many #s
15 + 16 + 17 + 18 + 19 = 85 / 5 = 17 mean = 17
now your friend's:
12 + 13 + 17 + 20 + 20 = 82 / 5 = 16.4 mean = 16.4
mode is which number is used the most
your mode = you don't have a mode your friend's mode = 20
b. you have a higher mean than your friend
world populations:
a. range is to subtract the smallest number from the largest
803 - 31 = 772
b. mean is adding it all up and dividing by how many numbers there are:
803 + 487 + 348 + 368 + 730 + 31 = 2767 / 6 = 461.17
median is arranging them in order and finding the middle #
31, 348, 368, 487, 730, 803
368 + 487 = 855 / 2 = 427.5
mean = 461.17
median = 427.5
mode = no mode
tomato plants:
a. range is subtracting the smallest from the largest
52 - 36 = 16
b. mean is adding all the #s and dividing by how many #s there are:
36 + 45 + 52 + 40 + 38 +41 + 50 + 48 = 350 / 8 = 43.75
median is the middle from least to greatest
36, 38, 40, 41, 45, 48, 50, 52
41 + 45 = 86 / 2 = 43
mean = 43.75
median = 43
mode = no mode
hope this helps! :)
In a survey of 800 people, 32% preferred cats and 27% preferred dogs. How many more people preferred cats than preferred dogs?
Calculate the amount of people on both sides.
32% preferred cats
32% of 800
0.32 × 800 = 256 people
27% preferred dogs
27% of 800
0.27 × 800 = 216 people
So 256 people preferred cats and 216 people preferred dogs.
256 - 216 = 40 people
40 more people preferred cats than preferred dogs
40 people preferred cats more than preferred dog.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Total number of people participated in survey = 800.
Percentage of people who preferred cats = 32%,
And percentage of people who preferred dogs = 27%.
The percentage of people who preferred cats more than preferred dogs
= 32 - 27
= 5 %
The number of people preferred cats more than preferred dogs
= 800 x 5/100
= 40.
There are 40 more people preferred cats than dog.
To learn more on Percentage:
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I can't find x y or z
Answer:
x = 4[tex]\sqrt{3}[/tex]
y = 6
z = 8
Step-by-step explanation:
keep in mind I'm not doing that well with geometry so this might all be wrong lol
x is part of a 30 60 90 triangle.
so x is 4[tex]\sqrt{3}[/tex]
next, this is a right angle triangle so you can follow the a^2 + b^2 = c^2 formula.
4 + 6 = 10
10^2 = 100
100 = a^2 + b^2
y = 6 and z = 8 bc 36 + 64 = 100
proportion multiple choice
Answer:
a) x 2
b) x 3
djsjsjkritjtj
Answer:
a is ×2. b is ÷3
Step-by-step explanation:
If you douple the multiple equation the answer will doupled by the same number
But if you triples the divide equation the valu will reduce by 3
1:
Segment EG is an angle bisector of angle FGH. Abraham wrote a proof to show
that triangle HEG is congruent to triangle FEG.
2
3
5
6
G
1. Side EG is congruent to side EG because they're the same segment.
2. Angle EGH is congruent to angle EGF because segment EG is an angle
bisector of angle FGH.
3. Angle H EG is congruent to angle FEG because segment EG is an angle
bisector of angle FGH.
Answer:
Angle FEG
Step-by-step explanation:
i need help
56 = -10 + 2x
Answer: x= 33
i subtracted -10 away from 56 and i got 66, then i divide 66 by 2x and got 33x.. which is your answer ;)
Please help its a emgrency its a test
Ethan can find the distance between two cities using the map scale in which 2 centimeters represents 15 miles. The distance between Mesquite and Terrell is 5 centimeters on the map. What is the actual distance between these two cities in miles?
Answer: 4 centimeters is 30 and then you would have to find half of 15 I'm pretty sure that's 7.5. Is there an answer that says: 37.5?
Answer:
37.50
Step-by-step explanation:
i think sorry if im wrong
PLEASE HELP Aria made 9 pounds of fudge.She separates the fudge into 3/4 pound portions. She sells each portions for $6.50.if she sells all the fudge,How much money will she make? show your work
Mr. Jones has 550 goats, which is 10% more than Mr. King has. How many more goats does Mr. Jones have than Mr. King?
Answer:
55
Step-by-step explanation:
Number of Jone's goats = 550
Let Number of King's goat = x
Jone's goat is 10% more than King's ;
Thus, number King's goat would be ;
x = 550 - (10% of 550)
x = 550 - 55
x = 495
x = Mr. King's goat
Hence, Jones goat is :
550 - 495 = 55 more than Mr King's goat.
Mr King has 55 goats
Number of goats owned by Mr Jones is 550
let y represent the goats owned by Mr King
y= 550-(10% × 550)
= 550- (0.1×550)
= 550 - 55
= 495
= 550-495
= 55
Hence Mr King has 55 goats than Mr Jones
Please see the link below for more information
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How is this equation correctly solved?
Answer:
Psy talented it to cartwheels
Step-by-step explanation:
THIS IS AN EMERGENCY PLEASE HELP ME!!!!!!!!!
With a coupon, you can get a pair of shoes that normally costs $80 for only $68. What percentage was the discount?
Answer:
Not sue but I think it’s 12%
Step-by-step explanation:
n is an integer such that 3n + 4 < 19 and
10n/n+ 16 > 1
Find all the possible values of n.
Answer:
Step-by-step explanation:
3n+4<19
3n<19-4
3n<15
n<5
[tex]\frac{10n}{n+16 } >1\\either~ both~ the~ denominator ~ and ~ numerator ~are ~positive ~ or ~both ~are ~ negative.\\let~ 10 n>0 \\n+16 >0\\n>-16\\again ~10 n>n+16\\9n>16\\n>\frac{16}{9} ~...(1)\\and ~\\10n<0,n<0\\and ~n+16 <0\\n<-16\\again\\10n<n+16\\9n<16\\n<\frac{16}{9} \\combining\\n<-16[/tex]
combining
(-∞,-16)U(16/9,5)
Answer:
n = 3,4,5
Step-by-step explanation:
3n + 4 < 19
3n ≤ 15
n ≤ 5
10n/n+16 > 1
10n > n²+16
-n²+10n-16
(-n+2)(n-8)
n = 2 or n = 8
2 < n < 8
So 2<n≤5 = 3,4,5
If you can solve this you are a Genius and will be rewarded 100 points
Answer:
tbh im really not sure..if im right, then hallelujah!! but here... n=1/f-3
Step-by-step explanation:
im sorry its prob not right but i tried
Answer: 3
Step-by-step explanation: Your Answer Is 3.
Pls help I’m being timed
Thomas and Tina share a cake. Thomas eats 12.5% of the cake. Tina eats
2
176 of the cake. The fraction of cake remaining is "b/c". What is the value of
b? *
Your answer
This is a required question
O
If a game player scored a 27 on the first game and a 39 on the second game, which number statement can be used to find what the player needs to score on the third game (S) to have a
mean (average) score of 36?
A. 27 +39+ S3 = 36
B. 363 = 27 +39 + S
C. (36 + 3) + S +27 +39
D. (27 +39 + S) + 3 = 36
Answer:D
Step-by-step explanation:
Answer: none of them are right...
Step-by-step explanation:
(27 + 39 + S)/3 = 36
27 + 39 + S = 36(3)
27 + 39 + S = 108
S = 108 - 39 - 27
S = 42
Show how to rewrite 1/5 with the denominator 10
The denominator is the bottom number.
To change the 5 to 10, you would multiply 5 by 2: 5 x 2 = 10
Because you multiplied the 5 by 2, you also need to multiply the numerator ( top number) by the same amount.
1 x 2 = 2
So 1/5 = 2/10
The answer is 2/10
Graph the line given by the equation y=2x-6.
PLS HELP QUICKLY ILL ITS TIMED
What is the expression in factored form?
2x^2+16x+24
Is it (x-2)*(x-6) or 2(x-2)*(x-6)?
Answer:
( 2x +4) ( x+6)
Step-by-step explanation:
Explanation:-
Given expression 2 x² + 16 x + 24
The factors of 48 = 12 × 4
⇒ 2 x² + 16 x + 24
⇒ 2 x² + 12 x + 4x + 24
⇒ 2 x ( x +6 ) + 4( x +6)
⇒ ( 2x +4) ( x+6)
tan 235° = 2tan20°+ tan215°
Given : tan 235 = 2 tan 20 + tan 215
To Find : prove that
Solution:
tan 235 = 2 tan 20 + tan 215
Tan x = Tan (180 + x)
tan 235 = tan ( 180 + 55) = tan55
tan 215 = tan (180 + 35) = tan 35
=> tan 55 = 2tan 20 + tan 35
55 = 20 + 35
=> 20 = 55 - 35
taking Tan both sides
=> Tan 20 = Tan ( 55 - 35)
=> Tan 20 = (Tan55 - Tan35) /(1 + Tan55 . Tan35)
Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1
=> Tan 20 = (Tan 55 - Tan 35) /(1 + 1)
=> Tan 20 = (Tan 55 - Tan 35) /2
=> 2 Tan 20 = Tan 55 - Tan 35
=> 2 Tan 20 + Tan 35 = Tan 55
=> tan 55 = 2tan 20 + tan 35
=> tan 235 = 2tan 20 + tan 215
QED
Hence Proved
class A has 11 pupils and class B has 14 pupils. Both classes sit the same maths test. the mean score for class A is 32. The mean score for class B is 38. What is the mean score(rounded to 2DP) in the maths test across both classes?
Answer:
35.36
Step-by-step explanation:
For Class A
Class A has 11 pupils
The mean score for Class A is 32.
The total score of the students =
Mean score × Number of pupils
= 32 × 11
= 352
For Class B
Class B has 14 pupils. The mean score for class B is 38.
The total score of the students =
Mean score × Number of pupils
= 38 × 14
= 532
Total number of pupils for both classes = (11 + 14)pupils
= 25 pupils
Total score for both class = 532 + 352
= 884
The mean score(rounded to 2DP) in the maths test across both classes is calculated as:
Total score of both classes÷ Total number of pupils
884 ÷ 25
35.36
expand this bracket (x + 3/2)^2
X^2 + 9/4 is your answer
Hope this helps you