Using the binomial distribution, it is found that:
The mean of the number of left-handers in the class is of 1.6.The standard deviation of the number of left-handers in the class is 1.16.For each student, there are only two possible outcomes, either they are left-handers, or they are not. The probability of a student being a left-hander is independent of any other student, hence the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value is:
[tex]E(X) = np[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem:
The probability that an individual is left-handed is 0.16, hence [tex]p = 0.16[/tex].The class has 10 students, hence [tex]n = 10[/tex]Then:
[tex]E(X) = np = 10(0.16) = 1.6[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10(0.16)(0.84)} = 1.16[/tex]
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An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side? Explain how you would define a variable for this problem.
To find the length of the third side, we can set up an equation using variables. Solving the equation will give us the length of the third side.
Explanation:To solve this problem, we can define variables to represent the lengths of the two equal sides of the isosceles triangle. Let's say the length of each equal side is x. The third side can then be represented as 2x - 5. Since the perimeter of the triangle is 23 cm, we can set up an equation:
x + x + (2x - 5) = 23
Now we can solve for x:
4x - 5 = 23
4x = 28
x = 7
Therefore, the length of the third side is 2(7) - 5 = 9 cm.
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what is the answer to this 5+5x=-2x+5=?
5+5x=-2x+5
Isolate the x. Add 2x to both sides, and subtract 5 from both sides
5 (-5) + 5x (+2x) = -2x (+2x) + 5 (-5)
5x + 2x = 5 - 5
8x = 0
Isolate the x. Divide 8 from both sides
8x/8 = 0/8
x = 0
0 is your answer
hope this helps
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1. Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation.
f(x) = 4x − 6
f(x) = x + 4
y = x + 4
y = 4x − 6
Answer:
1. f(x) = 4x -6
2. see the attachment
Step-by-step explanation:
1. The only two answer choices using "function notation" are the first two, which are of the form ...
f(x) = <some expression involving x>
The only one of these that can describe both points is the first one:
f(x) = 4x -6
f(3) = 4·3 -6 = 6
f(4) = 4·4 -6 = 10
__
2. Slope is the ratio of rise to run. When it is zero, there is no rise for any amount of run: the line is horizontal. The appropriate choice is the graph that shows a horizontal line.
What is the name of this angle?
A.
acute
B.
right
C.
obtuse
D.
straight
Find the equation of the line in the xy-plane that contains the point (4, 1) and that is perpendicular to the line whose equation is y = 3x + 5.
Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), what are the coordinates of H'?
Answer:
(-7,6)
Step-by-step explanation:
Just took test on edgen
20 pts. Involves Triangle Centroids
13) Ms. Dowd gave each student 6 liters of water to perform an experiment. Before starting the experiment, students had to verify the volume of water they received by taking three different measurements. Which of the following was the most precise measurement Ms. Dowd received? *
A) 5.9
B) 6.045
C) 6.0014
D) 6.12
BRAINLIEST TO BEST ANSWER THAT SHOWS ALL WORK, YOU MIGHT NEED TO WRITE THIS OUT ON PAPER.
5. You are given the following equation: 24+6=−18
5a. Identify the x-intercept of the equation.
5b. Identify the y-intercept of the equation.
5c. Graph the equation.
What is one benefit to lifelong physical activity? healthier diet lower risk of stroke organized daily schedule lower chance of injury
My number has 2 digits and is even, the sum of my numbers digits is 10, the difference of the two digits of my number is 6, my number has 4 factors,what am i
Solve for q.
s = 4p + 4q
I'm thinking q= s - 4p
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4
HELP, I NEED SOMEBODY
2. Solve the equation p^2 + 4p = 1 by completing the square. Show your work
The solutions to the equation [tex]p^2+4p=1[/tex] using completing the square method are [tex]-2- \sqrt{5}[/tex] and [tex]-2+ \sqrt{5}[/tex]
The given equation is:
[tex]p^2+4p=1[/tex]
Add [tex](\frac{4}{2})^2[/tex] to both sides of the equation
[tex]p^2+4p+(\frac{4}{2})^2= 1 + (\frac{4}{2})^2\\\\p^2+4p+2^2=1+2^2\\\\(p+2)^2=1+4\\\\(p+2)^2=5\\\\[/tex]
Find the square root of both sides
[tex]p+2 = \pm\sqrt{5}\\\\p=-2\pm sqrt{5} \\\\p = -2 - sqrt{5}\\\\p=-2+ \sqrt{5}[/tex]
The roots of the equation are [tex]-2- \sqrt{5}[/tex] and [tex]-2+ \sqrt{5}[/tex]
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The equation p² + 4p = 1 can be solved by first rearranging to p² + 4p - 1 = 0, completing the square, simplifying and taking square roots. The solutions are p = -2 + sqrt(5) and p = -2 - sqrt(5).
Explanation:To solve the quadratic equation p² + 4p = 1 by completing the square, we first arrange the equation with the quadratic and linear terms on one side and the constant on the other:
p²+ 4p - 1 = 0.
Next, we complete the square by adding the square of half the coefficient of p to both sides of the equation. The coefficient of p is 4, so half of it is 2, and squaring it gives 4. So, we have:
p² + 4p + 4 = 1 + 4
This simplifies to:
(p + 2)² = 5
Then, we take square roots of both sides:
p + 2 = ± sqrt(5)
Which further simplifies to:
p = -2 ± sqrt(5)
So, the solutions for this quadratic equation are p = -2 + sqrt(5) and p = -2 - sqrt(5).
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What are 6 centimeters equal to?
A. 600 meters
B.
1/6 of a millimeter
C. 60 millimeters
D. 600 millimeters
You can buy an item for $20 at a store within walking distance. You can buy the same item online for $12 with $10 for shipping. Which is the better deal?
In the inequality 3x + 14 ≤ 44, x represents the cost of CDs Tim bought. Which phrase most accurately describes the cost of CDs?
Answer:
The cost of the cd is at most 10$
Step-by-step explanation:
A storage tank at a 24-hour gas station contains 25,000 gallons of gasoline at 8:00 a.m. on Monday. At 8:00 a.m. on Friday of the following week, the amount of gasoline in the tank has decreased to 7000 gallons. What is the average hourly rate of change of gasoline in the tank?
What is the unit rate for $1 for 12lbs
The data value x exists in two data sets: A and B. The mean is equal for both data sets. If the standard deviation for set A is greater than the standard deviation for set B, which is true for zx for set A?
Answer:
answer is B
it is less than Zx for set B
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
10 POINTS FOR SIMPLE QUESTIONS!
What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46?
12.5, 15.5, 16.5, 18.5
How many solutions does the equation 5x + 3x − 4 = 10 have?
Zero, One, Two, Infinitely many
What is the value of z in the equation 4(2z + 3) = 12?
−13, 12, 0, 12
What is the solution to the following equation?
5(2x − 6) + 20 = 10
9, 5, 3, 2The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:
Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13
Which of these is most likely the next step?
3x = 16, 3x = 10, 3x = 39, 3x = 3
The sum of the angle measures of a polygon with n sides is 1260. find n.
The sum of the angle measures of a polygon with 9 sides is 1260.
What is Angle Sum property?To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
As, the sum of the interior angles
(x - 2) x 180 where x is number of sides.
Here, the angle sum for n side is 1260.
So, (n -2) 180 = 1260
n -2 = 1260 / 180
n - 2 = 7
n= 7+2
n= 9 sides
Thus, the polygon have 9 sides.
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What is the measure of an exterior angle of a regular 7-sided polygon? The answer must be a decimal.
Find the slope of the line through the points (x1, y1) and (x2,y2)
Answer:
y2-y1/x2-x1
Step-by-step explanation:
SOMEONE PLZZ HELP WITH THESE 2 PROBLEMS ASAP PLSSSSS!!! HELP NEEDED!! WILL MARK BRAINLYIST!!
Cindy has 26 nickels. She is getting rolls of nickels from the bank. She has enough money to get up to 10 rolls of nickels and each roll contains 40 nickels. The bank will not give partial rolls. The function that models the number of nickels Cindy will have after leaving the bank is f(r)=40r+26, where r is the number of rolls of nickels she gets.
What is the practical range?
The graph shows the amount of dirt left to remove, y, with respect to number of loads of dirt, x.
What is the y-intercept?
What does the y-intercept represent?
(Graph is attached...) Thank you in advanced!
Good morning Sir/Ma'am!
Answer:
f(r) = 40r + 26
If she can only afford 10 rolls, then the maximum number of nickels Cindy will have is:
f(10) = 40(10) + 26 = 426 nickels
Step-by-step explanation:
Given function f(r)=40r+26, where r is the number of rolls of nickels she gets.
as it is already mentioned that she can get up to 10 rolls of nickels.
Therefore domain of function contains r ≤10,such that r is a natural number.
i.e.Domain of f(r)=all integers from 1 to 10, inclusive.
Domain of a f(x) is a set of values of x which make function f(x) well defined.
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Have a great day! ( :
Which of the following are valid names of triangles below click all that apply
Answer
pic?
Step-by-step explanation:
How to find the length of a line in a right triangle with 1 angle and the hypotenuse?
2c/11= c-3/4 what is the solution
Write 5 equations where the difference is equal to 3
Answer:
5-2
28 - 5²
17 - 7 × 2
[tex]\frac{28}{4}-4[/tex]
5 × 3 - 4 × 3
Step-by-step explanation:
Let x and y be any two numbers,
Such that,
y - x = 3,
⇒ y = 3 + x
Where, x is any positive real number.
Thus, we can find such equation by using this,
Such equations could be,
5 - 2, 28 - 25, 17 - 14, 7 - 4, 15 - 12
or
5-2, 28 - 5², 17 - 7 × 2, [tex]\frac{28}{4}-4[/tex], 5 × 3 - 4 × 3
Five equations where the difference is equal to 3 are, respectively:
(i) [tex]y - x = 3[/tex]
(ii) [tex]y + 9\cdot x = 3[/tex]
(iii) [tex]y -5\cdot x = 3[/tex]
(iv) [tex]y +2\cdot x = 3[/tex]
(v) [tex]y -11\cdot x = 3[/tex]
Reminder - Statement is incomplete. After some research, we determine that complete form is: "Write 5 linear equations where the difference is equal to 3".
From Analytical Geometry, a Linear Equation is an expression of the form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.[tex]m[/tex] - Slope.[tex]b[/tex] - Intercept.Based on the question, we need to write 5 expressions so that:
[tex]y - m\cdot x = b[/tex]
If we know that [tex]b = 3[/tex], then we get the following expressions:
(i) [tex]y - x = 3[/tex]
(ii) [tex]y + 9\cdot x = 3[/tex]
(iii) [tex]y -5\cdot x = 3[/tex]
(iv) [tex]y +2\cdot x = 3[/tex]
(v) [tex]y -11\cdot x = 3[/tex]
Please see this question related to Functions: https://brainly.com/question/22105858
What is the product (6r-1)(-8r-3)
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=h ( a+b ) 2 Solve for b.
B= 2a/ h - a
Hope it helps!