Let x be a binomial random variable with n = 15 and p= .5. Using the exact
binomial calculation and the normal approximation with the continuity
correction, find P(x>6).
Answers
Answer: Choice C) 0.6964; 0.6972
============================================
Work Shown:
n = 15
p = 0.5
q = 1-p = 1-0.5 = 0.5
P(k) = (n C k)*(p)^k*(q)^(n-k)
P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)
----------------
If you plug in k = 7, then we get,
P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)
P(7) = (15 C 7)*(0.5)^7*(0.5)^(15-7)
P(7) = 6435*(0.5)^7*(0.5)^8
P(7) = 0.1964
-----------------
Repeat for k = 8 all the way through k = 15. You could do this by hand, but I recommend using a spreadsheet to make things go much quicker.
Once you determine those values, add them up and you should get 0.6964 which is the binomial probability we want.
------------------
As for the normal approximation, you'll need to compute the mu and sigma to get
mu = n*p = 15*0.5 = 7.5sigma = sqrt(n*p*q) = sqrt(15*0.5*0.5) = 1.93649 which is approximate.The normal distribution will have those parameters.
Since we're using a continuity correction, we need to bump the x = 6 up to x = 6.5, since we want to be larger than 6
Let's find the z score
z = (x - mu)/sigma
z = (6.5 - 7.5)/(1.93649)
z = -0.516398
Now use a Z table or a calculator to determine that P(Z > -0.516398) = 0.6972 approximately. If you're using a TI calculator, then you'll use the normalCDF function. If you're using excel, then you would use the NormDist function (make sure to turn the cumulative flag to "true"). Alternatively, you can search out free z calculators to get the job done.
Related Questions
Which expression represents "5 times the sum of 4 and y?"
A) 5•4 + y
B ) 5(4 + y)
C ) 4+5•y
D ) 4(5 + y)
Answers
Because 5 times for both 4 and y
Show Intro/Instructions
A wire 15 centimeters long is cut into two pieces. The longer piece is 3 centimeters longer than
the shorter piece. Find the length of the shorter piece of wire.
Answers
Answer:
Let the length of the 2 pieces = L and S
Let L = the longer piece and S = the shorter piece
A wire 26 cm is cut into 2 pieces. This equates to......L + S = 26
The longer piece is 6 cm longer than the shorter piece. This equates to.....L = 6 + S. Substitute this equation into the first one, you get
L + S = 26
6 + S + S = 26
2S = 20
S = 20/2 = 10 cm
L = 6 + S = 6 + 10 = 16 cm
To confirm, L + S = 26
16 + 10 = 26!
Hope the above was helpful.
Step-by-step explanation:
what additional piece of information do we need to prove that MLN ≅ OPN
Answers
Answer:
N is the midpoint of MO
Step-by-step explanation:
Given
See attachment for triangles
Required
Additional information to prove [tex]MLN \cong OPN[/tex]
From the attachment, we already have:
[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]
The additional information that must be true for [tex]MLN \cong OPN[/tex] to be true is: N is the midpoint of MO
Because this piece of information proves that:
[tex]MN \simeq ON[/tex]
Which in other words makes [tex]MLN \cong OPN[/tex]
An orthocenter is the intersection of three.....?
Answers
Answer:
i don't get it
Step-by-step explanation:
Answer: An orthocenter is the intersection of three: Altitudes in a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.
Orthocenter--
An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.
Please help, I’m so lost in math
Answers
Answer:
[tex]r = 15 \times 5 \\ r = 75[/tex]
Answer:
75
Step-by-step explanation:
5 = r/15
what we want to do is solve for r
to do this we want to isolate the variable (r) using inverse operations
5 = r / 15
so to solve for r we want to get rid of the 15
r is being divided by 15
the inverse of division is multiplication
so to get rid of the 15 we multiply by 15
but remember whatever we do to one side we must do to the other side, so we multiply each side by 15
15 * 5 = 75
r / 15 * 15 = r
we're left with r = 75
we can then check are work by substituting 75 for r and then see if the equation is true
5 = r/15
* substitute 75 for r *
5 = 75/15
75 / 15 = 5
we're left with 5 = 5 which is true
In 2015, Tamya spent 100 hours reading. In 2016, she has only read 9.5 hours. How many more hours does she have to read in order to also read 100 hours in 2016?
Answers
Answer:
90.5 hours or 90 hours and 30 minutes
Step-by-step explanation:
100-9.5=90.5
Please HELP!
Given this graph of function f(x), find f (-2)
Answers
Answer:
4
Step-by-step explanation:
f(x) is just the y value for a given value of x
When x = -2 y = 4
f(-2) = 4
What theorem shows that △NTM ≅△SMT?
Answers
Answer:
Step-by-step explanation:
Side, side angle (SSA) theorem shows that △NTM ≅△SMT.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the given figure ΔNTM and ΔSMT share a common side MT.
Now, line segment SQ is congruent to line segment NQ and similarly line segment MQ and NQ, and hence line segment SM and NT are congruent and the angle formed by ∠STM and ∠NMT are also measure the same. because of the similar intersections of te line segments.
Therefore ΔNTM and ΔSMT are congruent by side, side angle theorem.
learn more about congruency here :
https://brainly.com/question/7888063
#SPJ5
Which mathematical sentence most Accurately expresses the information in the problem below?
See Picture....
Answers
Answer:
Don't quote me on this but it's probably C. 12c ≥ 88
Step-by-step explanation:
This is because he packages 88 eggs into cartons of 12.
88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.
Mention any two similarities between rectangle and square.
Answers
The similarities between a rectangle and a square as:
All 4 angles are 90 deg each.
Opposite sides are parallel and equal.
The diagonals bisect each other.
Circles can circumscribe both figures.
The diagonals form the diameter of the circumscribing circle.
The square root of the sum of the squares of adjacent sides is the diagonal.
The area is the product of adjacent sides.
The diagonals bisect the figure into 2 congruent triangles.
Join the midpoints of opposite sides and you get 4 similar figures of 1/4 the area of the original figure.
Join the midpoints of 4 sides in order and you get a rhombus, whose area is half that of the original figure.
To purchase $14.400 worth of machinery for his business, Greg made a down payment of $1400 and took out a business loan for the rest. After 2 years of
paying monthly payments of $576.18, he finally paid off the loan.
Answers
Answer:
below
Step-by-step explanation:
cost of the machinery = $14,400
he paid a deposit of $1400
then later paid $576.18 for two years
two years = 24 months
= $576.18 *24
=$13,828.32
total amount paid
= initial deposit + amount paid in two years
= $1,400 + $13,828.32
=$15,228.32
so he finally paid $15,228.32
interest = selling price - original cost
= $15,228.32 - $14,400
=$828.32
therefore interest = $828.32
Factor of 15x - 20y
Answers
Answer:
0
Step-by-step explanation: Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20y' to each side of the equation.
15x + 20y + -20y = 0 + -20y
Combine like terms: 20y + -20y = 0
15x + 0 = 0 + -20y
15x = 0 + -20y
Remove the zero:
15x = -20y
Divide each side by '15'.
x = -1.333333333y
Simplifying
x = -1.333333333y
which expression has a value of 15 when n=7?
Answers
Answer:
19 - 28/n
n=7
19 - 28/7
19 - 4
=15
How would you complete the square on the left side of this equation? x^2-6x=15 A. Add 6 to both sides of the equation. B. Subtract 6 from both sides of the equation. C. Add 9 to both sides of the equation. D. Subtract 9 from both sides of the equation. Please select the best answer from the choices provided A B C D
Answers
Answer:
C. Add 9 to both sides of the equation.
Step-by-step explanation:
Given
[tex]x^2 - 6x = 15[/tex]
Required
Complete the squares
We have:
[tex]x^2 - 6x = 15[/tex]
---------------------------------------------
Take the coefficient of -6 i.e. -3
Square it (-3)^2 = 9
Add 9 to both sides
---------------------------------------------
Hence, C is correct
What is the domain of the relation given by the set of ordered pairs shown?
{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 5 ), ( 2, - 3 ) }
List the domain as a set, in increasing order.
Answers
Step-by-step explanation:
the domain = {-3, -1, 2}
_____
The domain, as a set in increasing order, will be {-3, -1, 2}.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The set of ordered pairs shown below.
{(-3, 2), (-1, 0), (-3, 5), (2, -3)}
Then the domain, as a set in increasing order, will be
⇒ {-3, -1, 2}
More about the domain and range link is given below.
https://brainly.com/question/12208715
#SPJ2
A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.
This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.
What is ???
Answers
Answer:
37.71 hours
Step-by-step explanation:
Saphire
1garden/88hours
Varsha
1garden/ 66 hours
Together
1/88 + 1/66 = x
use 264 as common denominator
3/264 + 4/264 = 7/264
Together they can do 7 gardens in 264 hours
264/7 = 37.71 hours for 1 garden
-----------------------------------
Sometimes Brainly double types numbers
If you meant 6 hours and 8 hours
1/6 + 1/8 = x
4/24 + 3/24 = 7/24
24/7 = 3.43 hours
Simplify the radical completely.
Answers
Answer:
the answer would be A , I hope this helps
Which type of triangle is it possible for an obtuse triangle to be?
acute triangle
equilateral triangle
isosceles triangle
right triangle
Answers
This makes no sense, help pls
Answers
Please mark me branliest!
**Answer**
16 if you want exact, 20 if you want a little over.
**Explanation**
So check this... it's $50 per student that attends the camp, right?
(Nod if you're with me.)
The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800
5 dozen is the same as 50 donuts.
You multiply to get the total amount of donuts he buys in the total days (16).
Each 10 donuts costs 10 dollars.
If the dude buys 800 donuts it cost him $800.
And it costs 50 dollars for someone to go to camp.
So you divide 800/50 = 16 students
Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.
You are very welcome!!
If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club?
Answers
Answer:
the probablity of anything is
(Number of desired outcomes) / (Number of total outcomes)
Step-by-step explanation:
Answer:
I'd assume 1/4
Step-by-step explanation:
there are only 4 different suits to pick from
4. Type of data that is given as individual data points.
a grouped
c. research
b. questionnaire
d. un grouped
Answers
Answer:
Ungrouped
Step-by-step explanation:
Data given as individual data points are usually called Ungrouped data, this is because the data given is raw and not arranged in intervals to form a group of data. This data are usually worked on without having to work with the class size or the midpoint of the intervals. Examples of Ungrouped data could be given as a list of values such as :
Ages of 10 randomly chosen children :
5, 4, 2, 2, 4, 5, 7, 6, 3, 4
Smedley has two rolls of crepe paper, one with 30 yards and one with 40 yards. If he cuts both rolls into 5-yard streamers, how many streamers will he have?
Answers
Answer:
He will have 14 streamers
Answer:
2
Step-by-step explanation:
so u multiply it by 2846 take away the 8, 4 and 6 and all ur left is with 2
A.)55
B.)38
C.)70
D.)20
Answers
Answer:
D) 20
Step-by-step explanation:
4x - 10 and x together equal 90
Set your formula up as
90 = 4x - 10 + x
90 + 10 = 4x + x
100 = 5x
100 / 5 = x
20 = x
Which of the following is an example of quantitative data?
A person's Zip Code
The color of your car
A Person's Height
A person's city of residence
Answers
Answer:
a person's height
Step-by-step explanation:
thing that you can count
Answer:
a person's height helpful answer
solve 14a-3b+9c=18 for a. Do not use a= in your answer
Answers
Answer:
9/7 + 3/14b - 9/14c
Step-by-step explanation:
See image below:)
"the quotient of nine times a number and seven"
Answers
Answer:
[tex]9n \div 7[/tex]
Step-by-step explanation:
"the quotient of nine times a number and seven"
Hope it is helpful...Sketch a graph that has the following characteristics. (8 points: 2 points for each characteristic)
a. Crosses the y-axis at (0, 4)
b. Increases in the interval –12 ≤ x ≤ –2
c. Constant in the interval –2 ≤ x ≤ 2
d. Decreases in the interval 2 ≤ x ≤ 12
Answers
87 Step-by-step explanation:
Ill answer when i get the result
FACTOR b2 – 18b + 81
Answers
Answer:
(b-9)^2
Step-by-step explanation:
b^2-18b+81
=b^2-(9+9)b+81
=b^2-9b-9b+81
=b(b-9)-9(b-9)
=(b-9)(b-9)
=(b-9)^2
Hope this helps u!!
Find the area of each sector. Round your answers to the nearest tenth.
Answers
Answer:
a = 117.3 cm²
Step-by-step explanation:
a = (1/2)∅r²
a = (1/2)(7π/6)(8²)
a = (1/2)(7 * 3.14159/6)(64)
a = 117.3 cm²
X2-8x+15=(ax+b)(cx+d)
Answers
Answer:
(x-5) (x-3)
Step-by-step explanation:
x^2-8x+15
What two numbers multiply to 15 and add to -8
-5*-3 = 15
-5+-3 = -8
(x-5) (x-3)
Answer:
Step-by-step explanation:
-5