Using the binomial distribution, the probabilities are given as follows:
0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters for this problem are:
n = 10, p = 0.4.
The probability that more than 4 weigh more than 20 pounds is:
[tex]P(X > 4) = 1 - P(X \leq 4)[/tex]
In which:
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0061[/tex]
[tex]P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403[/tex]
[tex]P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209[/tex]
[tex]P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150[/tex]
[tex]P(X = 4) = C_{10,4}.(0.4)^{4}.(0.6)^{6} = 0.2502[/tex]
Hence:
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0061 + 0.0403 + 0.1209 + 0.2150 + 0.2502 = 0.6325[/tex]
[tex]P(X > 4) = 1 - P(X \leq 4) = 1 - 0.6325 = 0.3675[/tex]
0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
The probability that fewer than 3 weigh more than 20 pounds is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673
0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
For more than 7, the probability is:
[tex]P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.4)^{8}.(0.6)^{2} = 0.0106[/tex]
[tex]P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016[/tex]
[tex]P(X = 10) = C_{10,10}.(0.4)^{10}.(0.6)^{0} = 0.0001[/tex]
Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
Are the ratios 16:8 and 4:2 equivalent?
Two skateboarders are trying to build a ramp with an angle of 41°and a height of 3 ft. Which expression gives the length or
ramp?
Yesterday, Jack drove 45 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per
gallon?
Answer: 36.4mpg
Step-by-step explanation:
45.5 : 1.25 = ? : 1
45.5 ÷ 1.25 = 36.4 mpg
Note- It would mean the world to me if you could mark me brainliest!
I am not a professional, I am simply using prior knowledge! That car also gets excellent gas mileage!
Surat As-Sajdah is Surah:
options:
a) Makeya
b) Madaniya
Answer:
a
Step-by-step explanation:
SURAH AS-SAJDHA IS MAKEYH SURAH
pls help !!!!!!!!!!!!!!
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Step-by-step explanation:
4m =16
divide both sides by 4
m = 4
he has 4 model trains
PLSS HELPPP
FIRST PERSON TO ANSWER GETS BRAINLIEST!!!
Answer:
top angle: 38bottom left: 77bottom right: 65Step-by-step explanation:
16,-8,4...;6th term
The 6th term of the sequence is______.
Answer:
- [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
1) 16
2) 16 ÷ ( - 2) = - 8
3) - 8 ÷ ( - 2) = 4
4) 4 ÷ ( - 2) = - 2
5) - 2 ÷ ( - 2) = 1
6) 1 ÷ ( - 2) = - [tex]\frac{1}{2}[/tex]
I need help really fast!!!
Answer:
by using Pythagoras law
16²=(2x²)²+(2x²)²(since base angle of isosceles triangle is equal
16²=4x⁴+4x⁴
16²=16x⁴
16=x⁴
[tex]x = \sqrt[4]{16} [/tex]
x=2
what is the answer to 2 (r-4)+5(r+2
Answer:
7r + 2
Step-by-step explanation:
I hope this helps have a great day
Explain how you can use ratios of the side lengths to find the angle measures of the acute angles in a right triangle.
Answer:
The answer is below
Step-by-step explanation:
Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.
Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.
If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:
sinθ = opp. / hyp.v; cosθ = adj. / hyp. ; tanθ = opp. / adj.
The total cost c for p pounds of ham ig each pound costs $3.18
Answer:
Since 1 pound of copper costs 3.18, C = 3.18p
PLS HELPPPPP!!!!!!! The probability that a student plays Animal Crossing is 8%. What is the probability that a student does not play Animal Crossing?
Answer:
92%
Step-by-step explanation:
100-8=92
Answer:
91%
Step-by-step explanation:
If 8% is 8 out of 100, then the rest would be 91%, out of 100.
What is UW? For brainliest
Answer:
UW = 5
Step-by-step explanation:
use the altitude rule and set up a proportion:
4/UW = UW/6.25
cross-multiply:
UW² = 25
UW = [tex]\sqrt{25}[/tex]
UW = 5
every angle of a equilateral triangle is_____.
The temperature in Minneapolis changed from -7 °F at 6 A.M. to 7°F at noon. How much did the temperature increase?
Answer:
14 degrees F
Step-by-step explanation:
Answer:
Step-by-step explanation:
from -7 degrees F to 0 are 7 degrees change
from 0 to 7 are also 7 degrees,
in total are 14 degrees in change
what is 1.4504 rounded to the neareast cent
Answer:
$1.45
When writing about money, you use the two places after the decimal. In the third place, the number is 0 which rounds down.
How far is the portion of her route from A to D? Round to the nearest whole number. Explain. I NEED IT BY TONIGHT SO PLSS SOMEONE HELP ME!
9514 1404 393
Answer:
A to D is about 2087 ft
Step-by-step explanation:
For the portion of the path of interest, the sine and cosine relations apply.
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
AB is the adjacent side to the angle marked 33°, with hypotenuse 975 ft.
cos(33°) = AB/(975 ft)
AB = (975 ft)cos(33°) ≈ 817.70 ft
BC is the opposite side in the same triangle.
sin(33°) = BC/(975 ft)
BC = (975 ft)sin(33°) ≈ 531.02 ft
CD is the hypotenuse of the right triangle BCD. The side BC that we know is opposite the given angle, so the sine relation applies.
sin(46°) = BC/CD
CD = BC/sin(46°)
CD = (531.02 ft)/sin(46°) ≈ 738.21 ft
__
Now we know the segments of the path of interest:
A–D = AB +BC +CD
A–D = 817.70 ft + 531.02 ft + 738.21 ft = 2086.93 ft
A–D ≈ 2087 ft
_____
Additional comments
The attachment shows all of the segments computed working counterclockwise from A. The angles in triangle DEF are computed using the Law of Sines from sides DF and DE and angle DEF. Segments EG and GH are computed using the Law of Cosines.
When we get to points F, G, H, we find that there is some inconsistency with the locations that would be computed working clockwise using AB and angle BFA. This inconsistency shows up in an error in the 119° angle in the attached figure.
This means that segments on the back side of the route, along path EFGHA, will vary somewhat depending on how they're computed.
We assume that points B, C, F, G are collinear.
Subtract.
(6x + 5) - (x+3)
O A. 5x + 2
B. 5x shig
C. 6x+8
0 D. 6x + 2
Identify the factors of x^2 − 4x − 12. (4 points)
a(x + 4)(x − 3)
b(x − 4)(x + 3)
c(x − 2)(x + 6)
d(x + 2)(x − 6)
Answer:
(x-6)(x+2)
Step-by-step explanation:
write the fraction in ascending order.
from most to least:
i: 1/2, 1/3, 1/7, 1/10
ii: 2/3, 2/5, 2/9, 2/11
iii: 5/6, 3/4, 2/3, 1/2
iv: 4/5, 3/4, 5/8, 1/2
A scientist mixes x liters of water into a container that had 10 liters of a mixture that is 12% salt and 88% water. The function f(x)=
Answer:
110 liters of water
Step-by-step explanation:
The computation of the number of liters of water added is shown below:
Let us assume the x be the liters of water
f(x) represents the salt percentage in the mixture
Given that
f(x) = 1.2 ÷ x + 10
f(x) = 1% = 1 ÷ 100 = 0.01
Now out the f(x) value in the above equation
0.01 = 1.2 ÷ x + 10
x + 10 = 1.2 ÷ 0.01
x + 10 = 120
x = 110 liters
HElp please thanks I’ll give Brainly
Answer:
3
Step-by-step explanation:
its 3 just trust me
Lucy wasn't allowed to have any pets so she collected stuffed animals instead. She had 36 animals total. 3/12 of them were bears and 4/6 of them were dogs. What fraction of the animals were either dogs or bears?
the difference of two numbers is 8. their sum is 17. find the two numbers?
9514 1404 393
Answer:
4.512.5Step-by-step explanation:
Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...
s + (s+8) = 17
2s = 17 -8 = 9
s = 9/2 = 4.5
s+8 = 4.5 +8 = 12.5
The two numbers are 4.5 and 12.5.
_____
Comment on problems of this type
A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...
two numbers = (sum ± difference)/2
Here, that is ...
two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)
can earn 5 coins
Which of the following situations are equal to 5? Select all that apply.
A) 25% of 20
B) 10% of 50
C) 10% of 40
D) 50% of 10
E) 50% of 8
Answer:
B) 10% of 50
Step-by-step explanation:
B) 10% of 50hjxhsujwsdvnidfohiefhiedhefbeefuebfeufbeufrbfrgfeufgeudgegdeudgegdej
correct options arere A,B,D
please help I will give Brainlyest
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? (2 points)
Group of answer choices
143
314
14 ⋅ 3.
14 ⋅ 14 ⋅ 14
Flag this Question
Question 23 pts
(06.01)
Simplify the expression 43 + 2(3 − 2). (3 points)
Group of answer choices
14
16
66
68
Flag this Question
Question 33 pts
(06.04)
What is the value of 5 + 3x when x = 4? (3 points)
Group of answer choices
12
17
32
86
Flag this Question
Question 410 pts
(06.02)
Match the verbal expression with its algebraic expression. (10 points)
Group of answer choices
x3
[ Choose ]
b ÷ 3
[ Choose ]
3a
[ Choose ]
y − 3
[ Choose ]
z + 3
[ Choose ]
Flag this Question
Question 52 pts
(06.03)
For the expression y + 6 − 3, determine the coefficient for the variable term. (2 points)
Group of answer choices
0
1
3
6
Flag this Question
Question 66 pts
(06.03)
9(5x + 1) ÷ 3y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)
p
0 words
Flag this Question
Question 74 pts
(06.04)
4x + 1 over 3 y2
What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit. (4 points)
hellllllp
Answer:
number one :
volume = LxWxH
as it is a cube all lengths are the same substitute the values in V= 14x14x14
exponent are when you multiply a value by itself for example 2x2 can be written as 2²
in this case , the answer would be option 1.14³
Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum. A 2-column table with 7 rows. The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17. The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1. What statement is true about the mean of the sums of the two spinners? The mean is 12. The mean is 16. The mean is the same as the median. The mean is the same as the range.
Answer:
c
Step-by-step explanation:
edg 2021
no one bothers to read why anyways
The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.
The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.
We have given,
Violet creates two spinners for a game.
Each spinner is spun once, and the sum is recorded.
The table represents the sums of the spinners and the frequency of each sum.
A 2-column table with 7 rows.
What is the sum ?
The sum is the forword counting of the numbers.
The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.
The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.
The follow me to get 50 points.
To learn more about the data visit:
https://brainly.com/question/19243813
Describe the transformation that took place if f(x)=x? became f (x) = 0.2(x - 5)2 – 2
help ?? ;;
um i cant find the answer to this question so any answer that makes sense would help !!
Answer: It's the top left because the line passes through 10 on the y axis.