In the question, the probability of getting the given number of success
from a specified number of trials is required.
The correct probability function to use is the binomial probability function.
Reasons:
The given parameters are;
The probability of success = 0.06
The number of trials = 15 trials
The probability of interest = The probability of two successes in 15 trials
Solution;
The required probability is given by the following binomial probability
distribution formula;
[tex]P(x) = \dbinom{n}{x}\cdot p^x \cdot q^x = \mathbf{\dfrac{n!}{(n - x)! \cdot x!} \cdot p^x \cdot q^x}[/tex]
Where:
n = Number of trials
x = Number of required success
p = Probability of a success
q = Probability of one failure = 1 - p
For the question, we get;
[tex]P(x) = \dfrac{15!}{(15 - 2)! \times 2!} \times 0.06^2 \times (1 - 0.06)^{15 - 2} \approx \mathbf{0.169}[/tex]
Therefore, the correct option is, a binomial probability function
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The question options are;
Binomial probability function
Normal probability density function
Standard normal probability density function
Poisson probability function
a
In a math class with 25 students, a test was given the same day
that an assignment was due. There were 15 students who passed
the test and 20 students who completed the assignment. There
were 13 students who passed the test and also completed the
assignment. What is the probability that a student passed the test
given that they did not complete the homework?
a
Using it's concept, it is found that there is a 0.4 = 40% probability that a student passed the test given that they did not complete the homework.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, of the 25 - 20 = 5 students that did not complete the homework, 15 - 13 = 2 passed the test, hence the probability is given by:
p = 2/5 = 0.4 = 40%.
0.4 = 40% probability that a student passed the test given that they did not complete the homework.
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Whats the area and the perimeter of this shape. show calculations
Answer:
The answer is 15 cm
Step-by-step explanation:
as one square is 1 cm and there are 15 squares used for this shape then it is 15 cm
Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
14 ÷ 4
Step-by-step explanation:
14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :
14/4 = 7/2
and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.
so, the mixed number is
3 1/2
Line v passes through points (5, 4) and (10, 2). Line w is perpendicular to v. What is the slope of line w?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation that goes through (5,4) and (10,2)
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{5}}}\implies \cfrac{-2}{5} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{2}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{2}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{2}\implies \cfrac{5}{2}}}[/tex]
-3/5 > -4/5 in a number line
Answer:correct
Step-by-step explanation: >
what percent of 12.9 is 11.2? round to the nearest hundredth of a percent.
what percent of 12.9 is 11.2 round to the nearest hundredth of a percent
I will mark brainlist
Determine whether points A, B, and C can be vertices of a triangle. If so, classify the triangle as acute, right, or obtuse.
A (3,1); B (5,6); C (4,2)
Acute
Right
Obtuse
None of these
Answer:
A Obtuse, B Acute, C Right I think its right
Step-by-step explanation:
what is the slope intercept form of 12x+4y=-12
Answer:
y=-3-3x
Step-by-step explanation:
Transpose the equation for y
y=-12/4-12x/4
y=-3-3x
n-(m+n): use m= 2,and n=-3
Answer:
the answer is in the photo below
At a sale this week, a table is being sold for $119. This is a 65% discount from the original price.
What is the original price?
Answer:
77,35
Step-by-step explanation:
Help help help help please math math
Answer:
Answer ️️
Step-by-step explanation:
5.1÷104 = 4.903846154
20.
Find a quadratic function to model the values in the table.
A. y = -2x^2 - 3x + 3
B. y = 3x^2 + 3x - 3
C. y = -3x^2 - 3x - 3
D. y = 2x^2 + 3x + 2
Answer:
B. y = 3x^2 + 3x - 3
Step-by-step explanation:
Find the function rule.
y = 3 x ^2 + 3 x − 3
\table[[x,y],[-1,-3],[0,-3],[3,33]]
The quadratic function to model the values in the table is,
⇒ y = 3x² + 3x - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values of x and y in the table are,
⇒ x = - 1, 0, 3
⇒ y = - 3, - 3, 33
Now, We know that;
The standard form of the quadratic equation is,
⇒ y = ax² + bx + c
Put x = - 1, y = - 3;
⇒ - 3 = a (- 1)² + b (- 1) + c
⇒ - 3 = a - b + c .. (i)
Put x = 0, y = - 3;
⇒ - 3 = a (0)² + b (0) + c
⇒ - 3 = c
Put x = 3, y = 33;
⇒ 33 = a (3)² + b (3) + c
⇒ 33 = 9a + 3b - 3
⇒ 36 = 9a + 3b
⇒ 36/3 = 3a + b
⇒ 3a + b = 12 .. (ii)
From (i);
⇒ - 3 = a - b + c
⇒ - 3 = a - b - 3
⇒ a - b = 0 .. (iii)
Solve for (i) and (iii), we get;
⇒ a = 3, b = 3
Hence, The quadratic function to model the values in the table is,
⇒ y = ax² + bx + c
⇒ y = 3x² + 3x - 3
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You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?
Answer:
9.75*1.2= 11.7min (time spent reading in science)
24.5*0.8=19.6min (time spent reading play)
19.6+11.7= 31.3min (total time spent reading)
plz help anyone i really need this.....
Answer:
a) single replacement
b)decomposition
Step-by-step explanation:
a) im not so sure but pretty sure its tight
b) decomposition requires energy so therefore can only be this
Hello I need help help help help
x = 16
7 times 2 = 14
8 times 2 = 16
Hope that helped:)
Determine whether a quadratic model exists for the set of values below. If so, write the model. f(0) = -4, f(3) = -19, f(-1) = -11
Select the correct choice below:
A) A quadratic model does exist. It is f(x)= ?
B) A quadratic model does not exist.
Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
HELP ME
NO BOTS
BRAINLIST TO FIRST CoRrEcT ANSWER
Answer:
The answer is A.
Step-by-step explanation:
5 - 1 = 4
10 - 6 = 4
15 - 11 = 4
20 - 16 = 4
25 - 21 = 4
Answer:
The correct answer should be B
Step-by-step explanation:
B is also number 5
5. The price for
seedless oranges is $1.55 for the first
pound and $0.75 for each additional pound. Paul Paid $
5.35 to buy sour oranges.
How many pounds of seedless oranges did he buy?
Answer:
5 1/15 lb
Step-by-step explanation:
Equation:
5.35 = 1.55 + 0.75x [tex]\longmapsto\\[/tex] Subtract 1.55 from both sides
3.8 = 0.75x [tex]\longmapsto[/tex] Divide both sides by 0.75
5 1/15 lb
-Chetan K
HELLOPPPPPPPPPPPPPPPP
Answer:
Hello!
Judging by the link you provided I have come up with the correct solution:
x= 61°
y= 29°
Step-by-step explanation:
I will link my work below:
The first step to finding the two solutions it to first identify one of them.
I chose to identify x first.
To identify the value of x in this problem you have to notice that the x value corresponds with the value "29°" to form a perfect right angle, being 90°.
Thus you can simply find the value of x by doing this formula:
x+29°=90°
You then subtract 29° from both sides to simplify, and you come up with the solution
x=61°
Now we need to find the value of y.
To find the value of y I noticed that again, like x, y corresponds with another variable (being x) to form a perfect right angle (90°).
The way I realized this is a perfect right angle is because, as you can see in the picture you provided, the y+x angle are alternate exterior angles with another angle that is 90°.
Thus you can assume that:
x+y=90°
x= 61°
61°+y=90°
You then subtract 61° from both sides to get:
y=29°
how many 3/4 are in 11/4
Answer:
11
1
11 over 1
Step-by-step explanation:
What is tan(50)?
-.57
5.88
2.36
1.19
Answer:
1.19
Step-by-step explanation:
tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918
A 4-digit number is made up of different odd digits.
Write the greatest possible number that it can be?
Answer:
9753
Step-by-step explanation:
Try solving this equation. m + 18 = -112
-----------------------------------
m + 18 = - 112
m = -112 - 18
m = - 130
<3
Answer:
m=94
Step-by-step explanation:
m+18=‐112m=‐112‐18=‐94m=‐94HELPPP LAST ATTEMPT!!
Which lines are parallel? Why?
A) No lines are parallel
B) a || b by the same side interior angles
C) c || d by the same side interior angles
D) c || d by the converse of the same side interior angles
E) a || b by the converse of the same side interior angles
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The correct Choice is ~ D
a || b by the converse of the same side interior angles
Describe a situation that could be represented
by 8
One student scored 92 percent in his math class. Another scored 100 percent in the same class.
By how much did the other student score higher than the first?
⇒ 8%
I hope this helps!
The total amount of snowfall last ski season was 50 inches. This season, the total amount was 56 inches. The
percent of snowfall this year is what compared to last year?
Answer:
12% increase compared to last years
Step-by-step explanation:
Shawna has a photo album with space for 160 pictures. She has 33 pictures of her family, 48 pictures from summer camp, and 57 pictures from school. Does she have enough pictures to fill the photo album?
Suppose you roll a pair of six-sided dice and add their totals, What is the probability that the sum of the numbers on your dice is a number other than 11
Answer:
17/18
Step-by-step explanation:
total number of outcomes=6×6=36
favorable outcomes for a total of 11=56,65
number of favorable items for a total of 11=2
P(a total of 11)=2/36=1/18
P(for a total other than 11=1-1/18=(18-1)/(18)=17/18
5 is 10% of what plz i need help
Answer:
50
Step-by-step explanation: