The probability that 15 or more students in the sample are left-handed handed is 0.0752
(a) Why L can be a binomial distribution
From the question, we understand that 11% of the students are left-handed; this means that 89% are not left-handed
This, in other words means that:
For each observation, the student is either left-handed or not left-handed
Hence, the distribution can be represented by a binomial distribution
(b) The probability that 15 or more are left-handed
The sample size is given as:
[tex]\mathbf{n = 100}[/tex]
And the proportion is
[tex]\mathbf{p = 11\%}[/tex]
The mean of the dataset is:
[tex]\mathbf{\mu = np}[/tex]
[tex]\mathbf{\mu = 100 \times 11\%}[/tex]
[tex]\mathbf{\mu = 11}[/tex]
The standard deviation of the dataset is:
[tex]\mathbf{\sigma = \sqrt{\mu(1- p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{11 \times (1- 11\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{11 \times 89\%}}[/tex]
[tex]\mathbf{\sigma = \sqrt{9.79}}[/tex]
[tex]\mathbf{\sigma = 3.13}[/tex]
So, the probability is represented as:
[tex]\mathbf{P(x \ge 15)}[/tex]
Using continuity correction, we have:
[tex]\mathbf{P(x \ge 15) = P(x \ge 15.5)}[/tex]
Calculate the z-score for x = 15.5
[tex]\mathbf{z =\frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{z =\frac{15.5 - 11}{3.13}}[/tex]
[tex]\mathbf{z =\frac{4.5}{3.13}}[/tex]
[tex]\mathbf{z =1.438}[/tex]
The probability is then calculated as:
[tex]\mathbf{P(x \ge 15) = P(z \ge 1.438)}[/tex]
Using z-tables of probabilities, we have:
[tex]\mathbf{P(x \ge 15) = 0.075217}[/tex]
Approximate
[tex]\mathbf{P(x \ge 15) = 0.0752}[/tex]
Hence, the probability is 0.0752
Read more about binomial distribution at:
https://brainly.com/question/15992180
What is the ratio of a:b, knowing that a-b/a+b=3/5
Answer:
4:1
I think that is the answer
PLEASE CAN SOMEONE HELP????!!!!
x^2-10x+25=0 factoring quadratic equation
Answer:
(x-5)(x-5)
Step-by-step explanation:
x^2-10x+25=0
(x-5)(x-5)
since:
-5-5=-10
and
-5×-5=25
hope this makes sense :)
Can someone plz help me with showing the work. Send the work pic and I’ll mark brainliest plz ASAP!!!
Answer:
I think it might be D. 4mi because it is a little smaller that 5mi but bigger than 3mi but I might be wrong
PLEASE HELP!!! I need an urgent answer and I'll give brainiest just please answer this easy question!
Answer:
y , add 7, multiply by 3, then subtract 6.or Solve the system of equations and choose the correct answer from the list of options. x − y = 7 y = 3x + 12 2 over 19 comma 2 over 33 negative 2 over 19 comma negative 33 over 2 negative 19 over 2 comma negative 33 over 2 19 over 2 comma 33 over 2
Step-by-step explanation:
Solve for x:
(4x - 6)
(2x)
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
2x + 4x - 6 = 180
6x - 6 = 180
6x = 186
x = 31
Step-by-step explanation:
Find the measure of the indicated angle.
:)
Answer:
2
Step-by-step explanation:2
Can someone pls help me ? I really need help
Answer:
its A.56
Step-by-step explanation:
Please help with explanation
Answer:
B
Step-by-step explanation:
The formula for a area of the first semi circle is
[tex] \frac{1}{2} \times \pi {r}^{2} [/tex]
where r is the radius
Since 4 is the diameter, 2 is the radius
plug it in
[tex] \frac{1}{2} \times \pi {2}^{2} [/tex]
[tex] \frac{1}{2} \times 4\pi[/tex]
[tex]2\pi[/tex]
so the area of the first circle is 2
[tex]2\pi[/tex]
now let find the second circle
Since the semi circle is twice the area of AB the diameter is 8 so the radius is 4.
Put it in the equation.
[tex] \frac{1}{2} \times \pi {4}^{2} [/tex]
[tex] \frac{1}{2} \times \pi \times 16[/tex]
[tex]8\pi[/tex]
Now let find the third circle
Since it is twice the size of the second circle, the diameter is 16 and the radius is 8.
[tex] \frac{1}{2} \times \pi {8}^{2} [/tex]
[tex] \frac{1}{2} \times 64\pi[/tex]
[tex]32\pi[/tex]
Now let add the area of the semi circle
[tex]32\pi + 2\pi + 8\pi = 42\pi[/tex]
Can you solve this geometry problem?
Answer:
m<UTV = 100°
Step-by-step explanation:
360 = 140 + 120 + m
360 = 260 + m
360 - 260 = 260 - 260 + m
100 = m
----------------------------------------
360 = 140 + 120 + 100
360 = 260 + 100
360 = 360
A dance school has 54 students who learn salsa, and 23 of those students also learn ballet. There are 15 students who do not learn salsa but learn ballet, and 10 students do not learn either salsa or ballet. Which table best shows the conditional relative frequency of rows for the data? Learn salsa Do not learn salsa Total Learn ballet 0.29 0.19 1 Do not learn ballet 0.39 0.13 1 Total 0.68 0.32 1 Learn salsa Do not learn salsa Total Learn ballet 0.61 0.39 1 Do not learn ballet 0.76 0.24 1 Total 0.68 0.32 1 Learn salsa Do not learn salsa Total Learn ballet 0.43 0.60 1 Do not learn ballet 0.57 0.4 1 Total 0.68 0.32 1 Learn salsa Do not learn salsa Total Learn ballet 0.23 0.15 1 Do not learn ballet 0.31 0.10 1 Total 0.54 0.25 1
Answer:
Learn ballet 0.23 0.15 1
Do not learn ballet 0.31 0.10 1
Total 0.54 0.25 1
help ASAP thanks .....
Answer:
The missing side of the triangle is 15
What information is necessary to prove two triangles are similar by the SAS similarity theorem?
Answer:
The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
Step-by-step explanation:
Answer:
You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.
Step-by-step explanation:
A cylinder has a radius of 4 inches and a height of 5 inches. Which of these dimensions of a cylinder will have the same volume?
Radius: 20 inches
Height: 60 inches
Radius: 2 inches
Height: 20 inches
Radius: 10 inches
Height: 8 inches
Radius: 8 inches
Height: 5 inches
Answer:
Radius: 2 inches Height: 20 inchesStep-by-step explanation:
[tex]R=4\,,\ H=5\ \implies \ \ V=\pi R^2\cdot H=\pi\cdot 4^2\cdot5=80\pi\\\\\\R=20\,,\ H=60\ \implies \ \ V=\pi\cdot20^2\cdot60=24000\pi\ne80\pi\\\\R=2\,,\ H=20\ \implies \ \ V=\pi\cdot2^2\cdot20=80\pi \\\\R=10\,,\ H=8\ \implies \ \ V=\pi\cdot10^2\cdot8=800\pi\ne80\pi\\\\R=8\,,\ H=5\ \implies \ \ V=\pi\cdot8^2\cdot5=320\pi\ne80\pi[/tex]
Answer:
Radius: 2 inches
Height: 20 inches
Step-by-step explanation:
Use the formula V = πr2h to solve the problem.
What is the difference in height between 30m up a cliff and 87 m up a cliff? What is the
distance between these positions?
The difference in height is *blank*
The distance between the positions is *blank*
Answer:
57 m.
Step-by-step explanation:
87 - 30 = 57.
need help please and thank
Answer:
The Answer is B
Step-by-step explanation:
All the numbers and coefficients in option B correspond with the ones in the question. Hope this helps :)
Describe how you know whether an equation will be true for all values of x or true for no values of x.
Answer:
Substitute your answer for the variable x. If the equation looks accurate or is correct, then the value of x is the right answer. Not sure if this makes sense
Determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Simplify the equation as much as possible using algebraic manipulations such as combining like terms, factoring, and expanding.
Evaluate the equation for a few different values of x to see if it holds true. If the equation is true for all values of x within the domain, then it will be true for all values of x. If there are any values of x within the domain that make the equation false, then it will be false for no values of x.
If the equation cannot be simplified or the domain cannot be determined, then it may require further analysis, such as graphing or using calculus techniques to determine its behavior.
Thus, determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
In a survey of 1,500 people who owned a certain type of car, 675 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
55% is the answer to the question cause its 1500
Answer:
55% because its 1500
Step-by-step explanation:
please help me - i literally tried but gave up lolol
Answer:
77 degrees
Step-by-step explanation:
180 - 103 = 77
Hope that helps!
Answer:
The x = 130°
Because it is corresponding
Please help true or false in the picture below
please help me please
Answer: its a little blurry not to be rood :c
Step-by-step explanation:
help me plzzzzzzzzzzzzzz
Answer:
the equation is y=4x+3
Step-by-step explanation:
is that what you wanted?
Answer:
y=4x +3
Step-by-step explanation:
y=mx + b is the slope y-intercept form
4 is the slope so "mx" is now filled and 3 is the y-intercept
i hope this helps :) have a great day !!
Solve the original equation 2+1/b+2=3b/b+2 by solving the proportion. The solutions are
a.-6,-1 b. -6,1 c. -1,6 d. 1,6
Answer:
b=1
Step-by-step explanation:
2b+1+2b=3b+2b
4b+1=5b(Simplify both sides of the equation)
4b+1−5b=5b−5b(Subtract 5b from both sides)
−b+1=0
−b+1−1=0−1(Subtract 1 from both sides)
−b=−1
−b
−1
=
−1
−1
(Divide both sides by -1)
b=1
Check answers. (Plug them in to make sure they work.)
b=1(Works in original equation)
Answer:
D, 1,6
Next is Neither
And the first one was C
On Edgenu ity
Wanda, the owner of an e-commerce site, buys skateboards for $50 and then sells them on her site for $83. What is the mark-up, as a percentage?
Answer: 66%
Step-by-step explanation:
Wanda buys the boards at $50 and sells them as $83.
The markup in actual dollar amounts is:
= 83 - 50
= $33
In percentage terms, the denominator will be the cost price:
= Markup / Cost price * 100%
= 33 / 50 * 100%
= 66%
What is the difference of d minus 3 divided by 2 if d = 3?
After his alarm rings, Clarence has
25 minutes to get ready. He snoozes in
bed for one minute after the alarm rings
the first day, two minutes the second
day, three minutes the third day, etc.
When Clarence is down to 11 minutes to
get ready, how many days has it been?
Answer: 14 days
Step-by-step explanation:
Day 1: 1 minute snooze = 24 minutes
Day 2: 2 minute nooze = 23 minutes ; these examples show snooze time = days.
We can set up an equation for this situation: 25 - s = r ; where s = snooze time and r = time to get ready.
Given the problem, we can fill out this equation with: 25 - s = 11
When you solve this equation, time snoozed = 14.
We already know that snooze time = days, so days = 14.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
Solve the equation 16x^3+16x^2-x-1=0 given that -1/4 is a zero of f(x)= 16x^3+16x^2-x-1. Solution set is ___
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Determine the unknown angle in the triangle pictured below: pls help me /.
Answer:
60
Put the Brainlest please
Allie goes cruising on her dirt bike. She rides 2 km north, 4 km west, 13 km south, 10 km east, 1 km south and 6 km east. What was her displacement?
Answer:
16.97km
Step-by-step explanation:
To get the displacement, we will use the pythagoras theorem
Sum of distances along the horizontal (east and west) is expressed as
dx = 10 - 4 + 6
dx = 6+6
dx = 12km
Sum of distances along the y;
dy = 2 - 13 - 1
dy = -11-1
dy = -12km
Find the displacement using the pythagoras theorem
D = √(12)²+(-12)²
D = √144+144
D = √288
D = 16.97km
Hence her displacement is 16.97km
9. There are 45 marbles in a bag (black and white only). The ratio of white marbles to black marbles is 2:3.
How many of each are there?
18 white and 27 black
Step-by-step explanation:
add 2 + 3 to get 5
45 ÷ 5 = 9
since white is 2, multiply 9 by 2 to get 18
since black 3, multiply 9 by 3 to get 27