Answer:
0.4114 = 41.14% probability that he answers at most three of them are correct
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
20 questions:
This means that [tex]n = 20[/tex]
Assume that each question has five possible choices, and only one of them is correct.
This means that [tex]p = \frac{1}{5} = 0.2[/tex]
What is the probability that he answers at most three of them are correct?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115[/tex]
[tex]P(X = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576[/tex]
[tex]P(X = 2) = C_{20,2}.(0.2)^{2}.(0.8)^{18} = 0.1369[/tex]
[tex]P(X = 3) = C_{20,3}.(0.2)^{3}.(0.8)^{17} = 0.2054[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0115 + 0.0576 + 0.1369 + 0.2054 = 0.4114[/tex]
0.4114 = 41.14% probability that he answers at most three of them are correct
question in picture
Answers:
cos(A) = 0.8480
tan(B) = 1.6
=============================================
Explanation:
Before we can compute cos(A), we'll need to find the hypotenuse.
Use the pythagorean theorem.
a^2 + b^2 = c^2
8^2 + 5^2 = c^2
89 = c^2
c^2 = 89
c = sqrt(89)
The hypotenuse is exactly sqrt(89) units long.
This will allow us to find the cos(A) value
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 8/sqrt(89)
cos(A) = 0.84799830400509 which is approximate
cos(A) = 0.8480 when rounding to four decimal places
-------------------------
For the tangent ratio, we won't use the hypotenuse. Instead, we use the opposite and adjacent sides like so:
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 8/5
tan(B) = 1.6
You are considering two job offers selling cell phones. The first job offers $400 a week plus $5 for every cell phone you sell. The second pays $325 a week plus $8 for every cell phone you sell. Show how you created the model (i.e. explain what each part of the model is being used to represent). How many cell phones do you need to sell for the two job offers to be the same?
Answer:
You need to sell 10 phones for the second job and 1 phone for the first job.
Step-by-step explanation: 8x10 = 80
First job: 325 + 80 = 405
Second job: 400 + 5 = 405
How many atoms are in this formula? 2Na₂SO₄
Answer:
7 atoms
Step-by-step explanation:
Mark as Brainliest
Jasper's parents keep a chart on the wall where they mark how much Jasper grows each year. When Jasper was 15, he grew 1/10 of an inch and when he was 16, he grew 3/10 of an inch. In total, how much did Jasper grow in during those two years?
Write your answer as a fraction or as a whole or mixed number.
Answer:
In order to find the total inches Jasper grew during the two years, we have to add up the total inches he grew when he was 15 and the total inches he grew when he was 16. Therefore, we have to add 1/10 and 3/10 together.
1/10 + 3/10 = 4/10, or 2/5.
Therefore, Jasper grew a total of 2/5 inches in those two years.
Find the volume of each prism. Round to the nearest tenth if necessary
Answer:
3. 84m^3
4. 16.2 ft^3
5. 14.7 ft
6. 288 m
hope this helps
have a good day :)
Step-by-step explanation:
please help no links or i will report
Which of the following is equal to 4.6?
A.
1
.
6
+
(
3
×
4
)
−
2
÷
2
B.
1
.
6
+
3
×
4
−
2
÷
2
C.
[
1
.
6
+
(
3
×
4
)
]
−
(
2
÷
2
)
D.
(
1
.
6
+
3
)
×
(
4
−
2
)
÷
2
9514 1404 393
Answer:
D. (1.6 + 3) × (4 − 2) ÷ 2
Step-by-step explanation:
The order of operations requires that multiplication and division be done in order of appearance, left to right, before addition and subtraction. Operations in parentheses take priority.
To get 4.6, you need to add 3 to 1.6. The various forms of 3×4-2÷2 all give 12-1 = 11, not 3.
The grouping that gets it right is ...
(1.6 + 3) × (4 − 2) ÷ 2
= 4.6×2÷2
= 9.2÷2
= 4.6
Answer:
D Hope you have a goooooooood dayyyyy ☜(ﾟヮﾟ☜)(¬‿¬)
Step-by-step explanation:
ILL GIVE BRAINLIEST
Segment AB is tangent to O T at B. What is the radius of OT?
The circle T has a radius of 28 units. (Correct choice: C)
How to determine the radius of a circle
The geometrical system shown in the image is formed by a triangle and a circle, since the line segment AB is tangent to the circle, then it is perpendicular to the radius of the circle and the triangle is a right triangle. This figure is described by the Pythagorean theorem:
AT² = AB² + TB²
(AC + CT)² = AB² + TB²
(25 + r)² = 45² + r²
25² + 50 · r + r² = 45² + r²
50 · r = 45² - 25²
r = (45² - 25²) / 50
r = 28
The circle T has a radius of 28 units. (Correct choice: C)
To learn more on right triangles: https://brainly.com/question/13324532
#SPJ1
Please help quickly as possible thank you! :)
2 kg is better to buy
3.99/3= 1.33
2.59/2=1.29
so 2 kg is better
Sarah pays $80 for 5
piano lessons. What is
the cost per lesson?
(PLZ HELP DUE IN 10 MIN)
Eber can mow 4 lawns in one hour. The equation l = 4h can be used to determine the number of lawns, 1. Eber can
mow in h hours. Create a graph to represent the number of lawns Eber can mow in 0 to 5 hours. Click on the
coordinate plane to place the points in the correct locations.
Answer:
See attachment for plot
Step-by-step explanation:
Given
[tex]l = 4h[/tex]
Required
Represent the scenario on a graph
When h = 0
[tex]l = 4h= 4 * 0 = 0[/tex]
When h = 1
[tex]l = 4 * 1 = 4[/tex]
When h = 2
[tex]l = 4 * 2 = 8[/tex]
When h = 3
[tex]l = 4 * 3 = 12[/tex]
When h = 4
[tex]l = 4 * 4 = 16[/tex]
When h = 5
[tex]l = 4 * 5 = 20[/tex]
So, we have:
[tex](h,l) = (0,0)[/tex]
[tex](h,l) = (1,4)[/tex]
[tex](h,l) = (2,8)[/tex]
[tex](h,l) = (3,12)[/tex]
[tex](h,l)= (4,16)[/tex]
[tex](h,l)= (5,20)[/tex]
See attachment for plot
find the value of X and please show your work.
Answer:
x= -22
Step-by-step explanation:
3x=5x+44
subtract 2x from both sides and leave only x on one side 3x(-2x)=5x(-2x)+44
then you get
x=3x+44
then you subtract the 3x to both sides
x(-3x)=3x(-3x)+44
then you get
-2x=44
and divide 2 on each side so-
x= -22
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
A. 1:8
B. 8:1
C. 1:9
D. 9:1
Answer:
A
Step-by-step explanation:
The successful results are
1 1
2 1
1 2
2 2
So the formula is probability of winning to probability of losing
Probability of winning =
4/36 = 0.1111111
Probability of losing =
32/36 = 0.88888888
So the odds are expressed as 0.111111 / 0.88888 = 1 in 8
A
If you ever intend to bet on horses at the track, this is a very good problem to understand.
Place and show would be very handy too, but that goes beyond this question.
If you toss three coins, what are the odds in favor of getting exactly two tails and one head?
Answer:
I think the answer is 3:5
Answer:
3.5
Step-by-step explanation:
Can someone please help me with this problem?
Answer:
20
Step-by-step explanation:
4 x 5 = 20
Application
Your family has a cable television package that costs $50 per month. Movies On-Demand
cost $5 each. Your family budgets $65 each month to spend on cable television costs.
Write and solve an inequality to determine the possible numbers of On-Demand movies
that your family can afford each month.
Inequality: 1
COD
>
s
>
<
>
DOO
Solution:
If a = 4 units, b = 7 units, and c = 12 units, what is the volume of the three prisms above?
Answer:
336 units
Step-by-step explanation:
When finding volume of a cube or prism multiply the its length width and height together.
4 × 7 × 12 = 336
HELP PLEASE I WILL MARK BRAINLIEST!
Answer:
x = 35
y = 100
Step-by-step explanation:
∠AEB and ∠DEC are vertical angles because they are opposite each other; they are also equal because of this. We can write an equation to model the situation:
∠AEB = ∠DEC
50° = x° + 15°
x = 35
∠AEB and ∠AED are supplementary because the form a line; this means they add up to 180°
∠AEB + ∠AED = 180°
50° + y + 30° = 180°
y + 80° = 180°
y = 100
La frase lingüística "cuatro veces un número dividido por la suma de dos
números", escrita como una frase algebraica es:Opción única.
(1 Punto)
4 + +
4 ÷ +
4 +
4 +
Answer:
Las opciones no se pueden ver, así que responderé de una forma general.
Primero rompamos la frase en partes más cortas
"cuatro veces un número..."
Esto se escribe como 4*N, donde N es el número.
"... la suma de dos
números"
Esto se escribe como K + M
donde K y M son dos números, entonces K + M es la suma de dos números.
Entonces:
"cuatro veces un número dividido por la suma de dos
números"
Se escribirá como:
(4*N)/(K + M )
Find the value of x and 3x
Right angle =90°
The sum angle of triangle =180°
A turn =360°
(90-45)+(90-45)+a=180°
45+45+a=180°
90+a=180°
a=90°
a+3x=360°
90°+3x=360°
3x=270°
3x=270°
x=90°
What choice is the range of f(x)=√x-3-1
Answer:
its not loading
Step-by-step explanation:
Four less than two times a number is seven times the sum of that number and 8. Which equation
could be used to solve this problem?
1. 4- 2n + 7n = 8
2. 2n - 4 = 7n + 8
3. 2n - 4 = 7(n + 8)
4. 4 - 2n = 7(n + 8)
9514 1404 393
Answer:
3. 2n - 4 = 7(n + 8)
Step-by-step explanation:
Two times a number is 2n. Four less than 2n is (2n-4). The sum of a number and 8 is (n+8). Seven times that sum is 7(n+8). The statement says these values are equal:
2n -4 = 7(n +8)
Find the value of x
Answer:
110 degrees
Step-by-step explanation:
i know this for a fact could you pls hit the crown to give brainliest when other person answers?
Answer:
x=110 degrees
Step-by-step explanation:
just trust me lol
What is the absolute value of 6(cos315+isin315)
Original price: $130
Discount: 60%
Sale price:?
Answer:
$52
Step-by-step explanation:
first you find out what 60% of 130. all you need to do is put a decimal before the percent and multiply it with the cost, in this case 0.6 x 130, which results in 78. next you subtract the percentage result from the total cost to get your answer of $52.
Helpppppppppppppppp meeeeeeeeeeee plssssssssssssssssss
Answer:
A: NO
B: YES
C: NO
D: NO
Step-by-step explanation:
Which of the following equations represents a proportional relationship?
6/9 = 24/32
8/3 = 36/14
3/2 = 15/12
4/8 = 15/30
Write an equation that represents a perpendicular line to y=-3x+5
Answer:
Example
Step-by-step explanation:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 3 3 . The equation of a perpendicular line to y=3x−5 y = 3 x - 5 must have a slope that is the negative reciprocal of the original slope.
12 and a half percent of 48.40
Answer:
6.05
Step-by-step explanation:
12 and a half percent of 48.4 = 6.05 because you can put .125 in your calculator and it is the same at 12.5% so you do .125 * 48.40 and you get 6.05
I need help with this
Ms. Lin’s son likes to lift weights. He was lifting 125 pounds last year. This year he can lift 35 more pounds. How much weight can he lift this year?
Answer:
He can lift 160 pounds
Step-by-step explanation:
125 (from last year) + 35 (more pounds) = 160 (total pounds)
125 + 35 = 160
