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).
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
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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.
Write an equation. Let x be the unknown number.
10 is the sum of three and twice a number
Answer:
10 = 3 + 2x
Step-by-step explanation:
twice the number is 2x
the sum of 2x and 3 is written as 2x + 3
2x + 3 =10
A jogger travelled 52km in 4 days.what is the rate he travelled per day?
52km multiply by 4(days)=208
The quotient of 9/10
Answer:
0.9 is the correct answer
A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?
Answer:
60 feet
Step-by-step explanation:
Give the answer in its simplest form
Answer:
1/52
Step-by-step explanation:
as there is only one of the three of clubs,
total possible outcomes= 52
favourable outcome= 1
P(getting a three of clubs) = total outcome/ favourable outcome
= 1/52
hope this helps
need help with these table
Which value of n would make 3√n=8
Answer:
n = 64/9
Step-by-step explanation:
3√n=8
Divide each side by 3
3/3√n=8/3
sqrt(n) = 8/3
Square each side
(sqrt(n))^2 = (8/3)^2
n = 64/9
Answer:
n = 64 / 9
Step-by-step explanation:
3√n = 8
Divide both side of equation by 3
3√n / 3 = 8/3
√ n = 8 / 3
Square both side of equation
√n² = √(8/3)
n = 64/9
Find the upper 20%of the weight?
Answer:
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]
[tex]X = 0.84\sigma + \mu[/tex]
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
como se obtiene el area de un polígono regular?
Answer:
Área de un polígono regular. El área o superficie de un polígono es igual al producto del perímetro por la apotema dividido por dos. El perímetro es la suma de todos los lados.
Step-by-step explanation:
Answer:
Step-by-step explanation:
El área de un polígono regular se calcula a partir de su perímetro y su apotema. Sea P el polígono regular con N lados, su área es:
Fórmula del área del polígono regular mediante su perímetro
1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.
Given:
In circle D, [tex]\angle EDH\cong \angle EDG[/tex].
To find:
The length of JG.
Solution:
We know that, if two central angles are congruent then the corresponding chords are congruent and their measures are equal.
We have,
[tex]\angle EDH\cong \angle EDG[/tex]
It means chords EH and EG are congruent and their measures are equal.
[tex]EH=EG[/tex]
[tex]9=EG[/tex]
Using segment addition property, we get
[tex]EJ+JG=EG[/tex]
[tex]4+JG=9[/tex]
[tex]JG=9-4[/tex]
[tex]JG=5[/tex]
Therefore, the length of JG is 5 units.
Answer:
5
Step-by-step explanation:
Which ordered pairs are solutions to the equation x+6y=4?
Answer:
(10 , -1)
Step-by-step explanation:
(10)+6(-1)=4
10-6=4
Question 9
Find the volume.
Answer:
volume of the triangular pyramid=1/3×base×height
=1/3×(1/2×6×5)×10
=1/3×15×10
=50 yd³
[tex]V = \frac{1}{3} (\frac{1}{2}\times base \: area) \: \times height[/tex]
SOLUTION[tex]V = \frac{1}{3} ( \frac{1}{2}\times base \: area) \: \times height \\ V = \frac{1}{3} (\frac{1}{2} (6)(5))(10) \\ V = \frac{1}{3} (150) \\ V = 50 {yd}^{3} [/tex]
FINAL ANSWER[tex]D. \: \: V = 50 \: {yd}^{3} [/tex]
I hope it helps ┐(・_・┐)
I need help pls and thank you
Answer:
unbounded region
A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.
Step-by-step explanation:
4. Dakota earned $30 in simple interest after 5 years. The interest rate was 4%
Answer:
The final balance is $36.5.
The total compound interest is $6.5.
Step-by-step explanation:
Roman numeral for 67
Answer:
LXVII
Step-by-step explanation:
The roman numeral for 67 is LXVII
LX represents 60 and VII represents 7
I'm having trouble grasping this one
Answer:
- 50
Step-by-step explanation:
Given the equation :
2x³ - z
x = - 3 ; z = - 4
Substituting the values into the equation :
2(-3)³ - (-4)
-3³ = - 27
Hence,
2(-27) - (-4)
-54 + 4
= -50
2x³ - z at x = - 3 and z = - 4 is - 50
Find the midpoint of the equation y = 4x - 6 between the x-intercepts and the y-intercepts.
Step-by-step explanation:
y int
x=0
y=4(0)-6
y=-6
0;-6
x int
y=0
0=4x-6
6=4x
6/4=x
3/2=x
3/2;0
Answer:
Below in bold.
Step-by-step explanation:
y = 4x - 6
Find y-intercept:
y = 4(0) - 6 = -6
Y intercept is at (0, -6)
x-intercept:
4x - 6 = 0
4x = 6
x = 6/4 =1.5.
x intercept is at (1.5, 0)
Midpoint is at ((0+1.5)/2, (-6 + 0)/2)
= (0.75, -3)
How many multiples of 9 are between 100,000 and 100,185?
Answer:
20
Step-by-step explanation:
After 99,999 is 100,008 So start from there
100,008 1
100,017 2
Ten 9's later...
100,107 12
Eight 9's later...
100.179
Ther are 20
What is the distance between -5 and 4
Answer:
9
Step-by-step explanation:
-5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4
-5 + 9 = 5
What is the image of N for a 288° counterclockwise rotation about the center of the regular pentagon?T A P E
9514 1404 393
Answer:
T
Step-by-step explanation:
The figure has 5-fold rotational symmetry, so each 72° of CCW rotation will bring point N to the next vertex in the CCW direction. Rotation of 288° will move point N 4 vertices CCW, equivalent to 1 vertex in the CW direction. Either way, that point is now occupied by point T.
N' ≅ T
What is 39% of 921?
Btw good morning to everybody!
Answer:
359.19 And good morning to you
Step-by-step explanation:
Answer:
359.19 is the 39% of 921
good afternoon to you
please help me it this question
Answer:
4cm ×6cm(parallelogram)
HELP PLEASE BEING TIMED! SHOW WORK
The clinic has collected data finding that the total number of people in their service area is 50,000, 27% of the community is over the age of 65 and immunocompromised, and 11% of the community under 65 is immunocompromised. While the clinic wishes to market to all members of the community, immunocompromised people over 65 are their current priority.
1. Express the total number of people to which the health clinic must do outreach.
Answer:
13500 people
Step-by-step explanation:
0.27 x 50000 = 13500
Using proportions, it is found that the clinic must outreach 13,500 people.
---------------------------
The total number of people in the area is of 50,000.Of those 50,000, 27% are over the age of 65 and immunocompromised, which is the current priority for the clinic.The total number of people the clinic must outreach, thus, is 27% of 50,000, given by:[tex]T = \frac{27}{100} \times 50000 = 0.27(50000) = 13500[/tex]
The clinic must outreach 13,500 people.
A similar problem is given at https://brainly.com/question/22295885
At Downunder Farms, Jamie is packing kiwi fruit in shipping crates. Each tray
holds 58 kiwis, and he can put 6 trays in a crate. How many kiwis does the
crate contain when it is full?
A. 64 kiwis
B. 290 kiwis
C. 348 kiwis
D. 174 kiwis
Answer:
348 kiwis
Step-by-step explanation:
Jamie is packing Kiwie fruits into a tray
Each tray holds 58 kiwis
He can put 6 trays in a crate
Hence when the craye is full the number of kiwis it will contain can be calculated as follows
°= 58×6
= 348 kiwis
Solve for x. Round to the nearest tenth, if necessary.
Answer:
X = 3.2
Step-by-step explanation:
sin(42) = x/4.6
0.7 = x/4.6
3.2 = x
find The derivative of:(cosx/1+sinx)^3
Answer:
[tex]-\frac{3 \cdot cos^2x}{(1+sinx)^3}[/tex]
Step-by-step explanation:
[tex]y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})[/tex] [tex][ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ][/tex]
[tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\[/tex] [tex][\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ][/tex]
[tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\[/tex]
[tex]= -3 \cdot \frac{cos^2x}{(1+sinx)^3}[/tex]
which statement is true?
Answer:
The y-intercept of function A is less than the y- intercept of function B
hope it is helpful to you
Find the length of an arc of circle of radius 7cm which subtends an angle 84 at the center of the circle
Answer:
Length of the arc = 10. 26
Step-by-step explanation:
14 × 11 / 15
= 154 / 15
= 10.26
Length of the arc = 10. 26
Hope this answer helps you :)
Have a great day
Mark brainliest
Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?
Answer:
No.
Step-by-step explanation:
Sadie goals = s
that means
2s+ s = 9 (2s is Connor's goals. Twice Sadie's)
3s=9
s=3
Sadie scored 3 goals