Answer:
2.4%
Step-by-step explanation:
We make use of the binomial probability equation, which is as follows:
P = [n! / (n - r)! r!] p ^ r * q ^ (n - r)
where,
n total number samples = 20
r is the selected number = 8
p, sin este valor no se puede realizar el ejercicio y no lo mencionas, pero encontré una pregunta igual y era de 20.37%, es decir 0.2037
q = 1 - 0.2037 = 0.7963
reemplazando:
P = [20! / ((20 - 8)! * 8!)] * [0.2037 ^ 8 * 0.7963 ^ (20 - 8)]
P = 125970 * 1.92685405*10^-7
P = 0.024 = 2.4%
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the phone. If he talks to her at school, he's 90% likely to ask hem
to a party. However, he's only 60% likely to ask her over the phone.
This is the tree diagram that represents the probability of Thomas inviting Madeline to a party.
What is the probability of Thomas inviting Madeline to the party over the phone?
Answer:
The probability of Thomas inviting Madeline to the party over the phone is 0.143.
Step-by-step explanation:
Consider the tree diagram below.
The events are denoted as follows:
A = Thomas bumps into Madeline at school
B = Thomas call Madeline on the phone
X = Thomas asks Madeline to the party
The information provided is:
P (A) = 0.80
P (B) = 1 - P (A) = 1 - 0.80 = 0.20
P (X|A) = 0.90
⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10
P (X|B) = 0.60
⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40
The conditional probability of event U given that another events V has already occurred is:
[tex]P(U|V)=\frac{P(V|U)P(U)}{P(V)}[/tex]
The law of total probability states that:
[tex]P(V)=P(V|U)P(U)+P(V|U')P(U')[/tex]
In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).
Use the law of total probability to determine the value of P (X) as follows:
[tex]P(X) = P(X|A)P(A)+P(X|B)P(B)[/tex]
[tex]=(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84[/tex]
Compute the value of P (B|X) as follows:
[tex]P(B|X)=\frac{P(X|B)P(B)}{P(X)}[/tex]
[tex]=\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143[/tex]
Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.
Answer:
84%
Step-by-step explanation:
Its the correct answer
Point B ∈ AC so that AB : BC = 2:1. Point D ∈ AB so that AD : DB = 3:2. Find AD : DC.
Answer:
AD : DC is 2:3
Step-by-step explanation:
The parameters given are;
Point B ∈ AC
AB : BC = 2:1
Point D ∈ AB
AD : DB = 3:2
Therefore, whereby we sum the ratios, we have;
For AC
AB = 2/(2+1)×AC = 2/3×AC
BC = 1/3×AC
For AB
AD = 3/(3+2)×AB = 3/5×AB
DB = 2/5×AB
We are required to find AD:DC
Given that AD = 3/5×AB and AB = 2/3×AC
We have;
AD = 3/5×2/3×AC = 6/15 AC
DC = DB + BC = 2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC
DC = 3/5×AC
AD : DC = 6/15 AC : 3/5×AC = 2:3.
factorize
[tex]9 - 4 {m}^{2} [/tex]
in algebra expression...
Answer:
(3+2m)(3-2m)
Step-by-step explanation:
(3+2m)(3-2m)
if BPD and dpc have a sum
of 72 degrees What is APC?
A. 18°
B 90°
D.180°
Factorize the following :- 12y²_20y+3
Answer:
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
Step-by-step explanation:
[tex]12y^2-20y+3[/tex]
-20y can be written as -2y + -18y.
[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]
Factor out 2y from the first expression and factor out 3 from the second expression.
[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]
Factor out the common term 6y-1.
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
What is the percent of 3.16 to 3.70
Answer:
85.4054%
Step-by-step explanation:
3.16/3.7 × 100
Divide.
0.854054 × 100
Multiply.
= 85.4054
3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls? plz help me
Answer:
2245
Step-by-step explanation:
2282-37=2245
2245 students are girls
Answer:
1304
Step-by-step explanation:
3/7 of students are boys
total students= 2282
girls are 1-3/7= 4/7 of all students
girls= 2282*4/7= 1304
What is the decimal multiplier to decrease by 60%?
Answer:
0.4
Step-by-step explanation:
To decrease something by 60% you multiply by 0.4
Answer:
0.4
Step-by-step explanation:
Say you have an object that costs $100.
Now 60% of $100 is $60.
Subtract $60 from $100 and you get $40.
Now $100 × [tex]x[/tex] = $40
[tex]x=0.4[/tex]
$100×0.4=$40
You need to multiply it by 0.4
Please help me :( struggling
C. exponential decay
Lana has a bowl of marbles the bowl contains 5 green marbles,3 red marbles and 2 blue marbles from the bowl one at a time. What is the probability that lana will select a green marble first, replace the marble, then select a red marble
Answer:
3/20
Step-by-step explanation:
5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles
P( green) = green/total = 5/10 = 1/2
Replace
5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles
P( red) = red/total = 3/10
P(green,replace, red) = 1/2 * 3/10 = 3/20
Can anyone help me with this answer:
One of the zeroes of the polynomial 2x2 + 7x –4 is
(A) 2
(B)1/2
(C) -1/2
(D) –2
Answer:
Option B
Step-by-step explanation:
For this we'll put all of these options in place of x
Number 1:
=> [tex]2(2)^2+7(2)-4[/tex]
=> 2(4)+14-4
=> 8+10
=> 18
So, This is not the zero of the polynomial
Number 2:
=> [tex]2(1/2)^2+7(1/2)-4[/tex]
=> 2(1/4)+7/2-4
=> 1/2+7/2-4
=> [tex]\frac{1+7-8}{2}[/tex]
=> [tex]\frac{8-8}{2}[/tex]
=> 0
Yes, This is the zero of the polynomial having zero as an answer
So, We'll end the solution here because we have found the zero of the polynomial.
Hope this helps :)
The weights (lbs.) of the 5 offensive linemen for the High School football team are as follows: 215, 225, 285, 260, and 250. The median weight is:
A)205 lbs
B)250 lbs.
C)247 lbs.
D)None of these choices are correct.
0.000000205
In standard form
Answer:
2.05 × 10⁷
Step-by-step explanation:
0.000000205
We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :
=> 2.05 × 10⁷
Answer:
205 × [tex]10^{-9}[/tex]
Step-by-step explanation:
[tex]10^{-9} = 0.000000001[/tex]
0.000000001 × 205 = 0.000000205
Nikolas and his son, and Peter with his son, went fishing. Nickolas caught as many fish as did his son. Peter caught three times as many as his son did. Altogether they caught 35 fish. Nikolas' son's name is Gregory. What is the name of Peter's son? How many fish did each of them catch?
Step-by-step explanation:
4unit is 35
1unit is 35/4 which is 8.75
use the elimination method to solve 4x+8y=16 4x-8y=0
Answer:
x=2, y=1
Step-by-step explanation:
4x+8y=16
4x-8y=0
Add the two equations together:
8x=16
Divide both sides by 8:
x=2
Plug this back into one of the original equations to find y:
4(2)-8y=0
8-8y=0
y=1
Hope this helps!
Answer:
x, y = (0, 0)
Step-by-step explanation:
photo math broo
PLEASE ANSWER ASAP!!!!! DONT NEED much explanation How many solutions does this system have? (photo below)
Answer:
infinite solutions
Step-by-step explanation:
Multiply the first equation by 2
2(3x-5y) = 2*15
6x - 10y = 30
This is the same as the second equation
They are the same line
This means there are infinite solutions
Check all that apply in regards to the given sequence:
5, 8, 11, 14, 17, 20, 23, ...
Answer:
see explanation
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 8 - 5 = 11 - 8 = 14 - 11 = 17 - 14 = 20 - 17 = 23 - 20 = 3
This indicates the sequence is arithmetic
The common difference d = 3
The first term a₁ = 5 and
a₈ = 23 + 3 = 26
which system of equations has no sulotion?
Answer:
Here is the answer ...... Check out it
Step-by-step explanation:
An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.
Hope it helps ☺️ CLICK on ♥️
This figure is made up of a triangle and a semicircle. What is the area of this figure? Use 3.14 for pi. Round only your final answer to the nearest tenth. Enter your answer, as a decimal, in the box
Answer:
Area = 14.8 units²
Step-by-step explanation:
Base of Triangle = 2 units
Height of Triangle = 5 units
Radius of the semi circle = 2.5 units
Now,
Triangle:
Area of triangle = 1/2(base*height)
Area = 1/2(2*5)
Area = 1/2(10)
Area = 5 units²
Semi-Circle:
Area of semi-circle = 1/2(πr²)
Area = 1/2(3.14)(2.5)²
Area = 1/2(3.14)(6.25)
Area = 9.8 units²
Area of the figure:
Area = 5 + 9.8
Area = 14.8 units²
Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6 meters. The lengths of J N and N L are 7.4 meters. The lengths of K M and M L are 10.7 meters. What is the distance between points M and N?
Answer:
i think 9.8 but im not sure
Step-by-step explanation:
The distance between points M and N is; 9.8 meters.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.
Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:
NM/19.6 = 7.4/(2×7.4)
Solving;
NM = 19.6/2
NM= 9.8 meters.
This follows that, the ratio of corresponding sides of congruent triangles are equal.
The distance between points M and N is; 9.8 meters.
Read more on congruent triangles;
brainly.com/question/1675117
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does anyone know this??
complete the solution of the equation. Find the value of y when x equals
-30 -2x - 3y = 42
Answer: y = 6
Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.
if 25 tickets cost $50, find the cost of 1 ticket
Answer:
$2[tex]solution \\ cost \: of \: 25 \: ticket = 50 \\ cost \: of \: one \: ticket = \frac{50}{25} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2[/tex]
hope this helps..
Good luck on your assignment
25 tickets cost 50.00 dollars.
The cost of 1 ticket would be:
50/25=2
2.00 dollars to be precise.
I need mega help I can't get it wrong
Answer:
4320 square inches
Step-by-step explanation:
Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.
URGENT! WILL GIVE BRAINLIEST!! The graph shows the data of texting speed according to time.A graph has time (minutes) on the x-axis and texting speed (words per minute) on the y-axis. Points are at (1, 14), (1, 18), (2, 10), (2, 15), (2, 17), (3, 14), (4, 10), (4, 15), (5, 6), and (5, 10).Use the scatter plot to determine if there is a relationship. If there is a relationship, explain it.Yes, there is a relationship. As time increases, texting speed increases.Yes, there is a relationship. As time increases, texting speed decreases.Yes, there is a relationship. As texting speed increases, time increases.No, there is no relationship displayed.
Answer: Yes, there is a relationship. As time increases, texting speed decreases.
Step-by-step explanation:
that is for the people looking for the correct answer.
The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
Learn more about Scatter Plot:
https://brainly.com/question/13984412
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Pls help as fast as possible
Answer:
452.389342 cubic inches
Step-by-step explanation:
The volume of a sphere is calculated using the formula V = 4/3 pi r^3
to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.
from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.
Note that this is only the volume of 1 sphere, so we multiply by 4
and we get 452.389342 cubic inches
Answer:
452.4
Step-by-step explanation:
Radius of each sphere: 24/4/2=3
Formula for volume: (4pir^3)/3
Formula for 4 spheres: 4 times (4pir^3)/3
Substitute 3 for r
What is 3+3/-4+6-34+9
ANSWER:
The answer is -16.75
First divide the division 3/-4 then start the addition and subtraction
Answer:
-67/4 or -16.75
Step-by-step explanation:
Simply plug all of that into the calc and you should get your answer.
What is the product?
3 x [1 -4 5 -7]
This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.
Doing so leads to the answer [3 -12 15 -21]
Side note: I'm assuming the matrix given to you has 1 row and 4 columns.
Find the volume of the prism.
13ft 7ft
Answer:
the volume of the prism is VOLUME=BASE*HEIGHT
Step-by-step explanation:
SO it's ,
13*7=91ft
Answer:
591.5 ft^3
Step-by-step explanation:
HELP!!!!!! PLZZZ!!!!!HELPPPP
Answer:
x=10
Step-by-step explanation:
set it up and solve
2x-1=x+9
2x=x+10
x=10
What is an equation in point-slope form of the line that passes through (1, -6) and (4, 6)?
Answer:
[tex]y+6=4(x-1)[/tex] or [tex]y-6=4(x-4)[/tex]
Step-by-step explanation:
We want to find the equation in point-slope form of the line that passes through the two points (1, -6) and (4, 6).
Recall that point-slope form is given by:
[tex]y-y_{1}=m(x-x_{1})[/tex]
Where m is the slope.
Find the slope m using the two given points.
[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{6-(-6)}{4-1} = \frac{12}{3} = 4[/tex]
Substitute. We can use either point. Using the point (1, -6), we acquire:
[tex]y-(-6)=4(x-(1))[/tex]
Simplify:
[tex]y+6=4(x-1)[/tex]
And using the point (4, 6), we acquire:
[tex]y-(6)=4(x-(4))[/tex]
Simplify:
[tex]y-6=4(x-4)[/tex]