Answer: The percent decrease is 98.44 brainliest please :)
Determine the standard deviation (sigma)by filling in the table as part of your calculation. Consider the following data 6, 6, 10, 8, 10, 8 x x Overbar x minus x Overbar (x minus x Overbar) squared a. 1.63 c. 0.94 b. 0.47 d. 1.15
Answer:
A
Step-by-step explanation:
I got it right on the assignment 100%
Answer:here’s the answer for this question
Step-by-step explanation:edge2023
A road rises 20 feet for every 100 feet in horizontal distance. What is the slope?
Answer:
Slope, [tex]m=\dfrac{1}{5}[/tex]
Step-by-step explanation:
It is given that,
A road rises 20 feet for every 100 feet in horizontal distance.
Rise (vertical distance) = 20 feet
Run (horizontal distance) = 100 feet
Slope of the road is given by the ratio of rise to the run. It can be calculated as :
[tex]m=\dfrac{20}{100}\\\\=\dfrac{1}{5}[/tex]
So, the slope is [tex]\dfrac{1}{5}[/tex].
m∠11 = 11x
m∠13 = 10x + 12
Answer:m∠11 = 11x
m∠13 = 10x + 12
Step-by-step explanation:
m∠11 = 11x
m∠13 = 10x + 12
help please please please
Answer: the answer is x=30
Step-by-step explanation:
2. Patients arrive at a hospital accident and emergency department at random follow a
Poisson distribution at a rate of 6 per hour.
(a) Find the probability that, during any 90-minute period, the number of patients
arriving at the hospital accident and emergency department is
(i) exactly 7
(2 marks)
(ii) at least 3
(2 marks)
(b) What is the mean and standard deviation of the number of patients arriving at the
hospital accident and emergency department in an hour?
(2 marks)
Answer:
0.11711612445;
0.99376780489;
2.4494897
Step-by-step explanation:
Given that :
Arrival rate = 6 per hour
Mean Arrival during 90 minute period :
60 min = 6
90 min = (6 * 90) / 60 = 9
λ = 9
Using poisson :
P(x =x) = (e^-λ * λ^x) / x!
1) Exactly 7
P( x = 7) = (e^-9 * 9^7) / 7!
= 590.26526724266 / 5040
= 0.11711612445
Atleast 3:
P(x ≥ 3)
P(x ≥ 3) = 1 - P(x < 3)
P(x < 3) = p(x =0) + p(x = 1) + p(x = 2)
P(x = 0) = (e^-9 * 9^0) / 0! = 0.0001234098
P(x = 1) = (e^-9 * 9^1) / 1! = 0.00111068824
P(x = 2) = e^-9 * 9^2) / 2! = 0.00499809707
1 - P(x < 3) =
1 - (0.0001234098 + 0.00111068824 + 0.00499809707)
1 - 0.00623219511
= 0.99376780489
B.) mean and standard deviation of the number of patients arriving at the hospital accident and emergency department in an hour?
Mean = arrival per hour = λ = 6
Standard deviation = √λ = √6
Standard deviation = 2.4494897
The probability that, during any 90-minute period, the number of patients arriving at the hospital accident and emergency department is exactly 7 is 0.11711612445 and the probability for at least 3 is 0.99376780489. The mean is 6 and the standard deviation is 2.4494897.
Given :
Patients arrive at a hospital accident and emergency department at random follow a Poisson distribution at a rate of 6 per hour.
Accprding to the poisson distribution:
[tex]\rm P(x=x)=\dfrac{(e^{-\lambda} \times \lambda^x )}{x!}[/tex]
a) The probability that, during any 90-minute period, the number of patients arriving at the hospital accident and emergency department is:
First, determine the value of [tex]\lambda[/tex]:
[tex]\lambda = \dfrac{6\times 90}{60} = 9[/tex]
(i) At (x = 7) the probability is given by:
[tex]\rm P(x=7)=\dfrac{(e^{-9} \times 9^7 )}{7!}[/tex]
Simplify the above expression.
P(x = 7) = 0.11711612445
(ii) At (x [tex]\geq[/tex] 3) the probability is given by:
[tex]\rm P(x\geq 3)=1-P(x<3)[/tex]
[tex]\rm P(x\geq 3)=1-P(x=2)-P(x=1)-P(x=0)[/tex]
[tex]\rm P(x=2)=\dfrac{(e^{-9} \times 9^2 )}{2!}=0.00499809707[/tex]
[tex]\rm P(x=1)=\dfrac{(e^{-9} \times 9^1 )}{1!}= 0.00111068824[/tex]
[tex]\rm P(x=0)=\dfrac{(e^{-9} \times 9^0 )}{0!}= 0.0001234098[/tex]
So, the probability at (x [tex]\geq[/tex] 3) is given by:
[tex]\rm P(x\geq 3)=1-0.0001234098 - 0.00111068824 - 0.00499809707[/tex]
[tex]\rm P(x\geq 3)=1 - 0.00623219511[/tex]
[tex]\rm P(x\geq 3)= 0.99376780489[/tex]
b) The mean and standard deviation of the number of patients arriving at the hospital accident and emergency department in an hour are given by:
[tex]\rm Mean = \lambda = 6\\\\[/tex]
[tex]\rm Standard\; Deviation=\sqrt{\lambda }= \sqrt{6} = 2.4494897[/tex]
For more information, refer to the link given below:
https://brainly.com/question/17716064
. A shopper paid $500 for an item marked $400. What was the percent increase?
Answer:
.25=25%
Step-by-step explanation:
Families with 5 children are randomly selected find the expected number of boys a family might have
Answer:
The expected number of boys a family might have is 2.5.
Step-by-step explanation:
Let X denote the number of boys in a family with 5 children.
The probability of a boy is, p = 0.50.
The child can either be a by or a girl independently.
The random variable X follows a binomial distribution with parameters n = 5 and p = 0.50.
The probability mass function is:
[tex]p_{X}(x)={5\choose x}(0.50)^{x}(1-0.50)^{5-x};\ x=0,1,2...5[/tex]
Compute the expected number of boys a family might have as follows:
[tex]E(X)=\sum x\cdot p_{X}(x)[/tex]
x p (x) x · p (x)
0 [tex]p(0)={5\choose 0}(0.50)^{0}(1-0.50)^{5-0}=0.03125[/tex] [tex]0\times 0.03125=0[/tex]
1 [tex]p(1)={5\choose 1}(0.50)^{1}(1-0.50)^{5-1}=0.15625[/tex] [tex]1\times 0.15625=0.15625[/tex]
2 [tex]p(2)={5\choose 2}(0.50)^{2}(1-0.50)^{5-2}=0.3125[/tex] [tex]2\times 0.3125=0.625[/tex]
3 [tex]p(3)={5\choose 3}(0.50)^{3}(1-0.50)^{5-3}=0.3125[/tex] [tex]3\times 0.3125=0.9375[/tex]
4 [tex]p(4)={5\choose 4}(0.50)^{4}(1-0.50)^{5-4}=0.15625[/tex] [tex]4\times 0.15625=0.625[/tex]
5 [tex]p(5)={5\choose 5}(0.50)^{5}(1-0.50)^{5-5}=0.03125[/tex] [tex]5\times 0.03125=0.15625[/tex]
Then,
[tex]E(X)=\sum x\cdot p_{X}(x)[/tex]
[tex]=0+0.15625+0.625+0.9375+0.625+0.15625\\\\=2.5[/tex]
Thus, the expected number of boys a family might have is 2.5.
ordered pairs satisfy the equation 3y−9x=9
Answer:
9
Step-by-step explanation:
3 (6)-9 (1)=9
18-9=9
i think that is the answer
Pls can some one help if you like
A roller coaster moves along an inclined linear path before it reaches its maximum height. The car moves at a constant speed and gains 4 meters in height every 3 seconds.
The slope of the line that represents the height of the car in meters in terms of time in seconds is Answer 1
If the car takes 54 seconds to reach the maximum height, then the maximum height above the ground is answer2
meters.
tell me the answer pls
There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.
Answer:12
Step-by-step explanation:I did the math
A boy wants to jump onto a carousel that is spinning at a rate of 14 revolutions per minute. if the carousel is 23 feet in diameter, how fast must the boy run to match the speed of the carousel and jump on?
a. 2.68 feet per second
b. 1,011.59 feet per second
c. 33.72 feet per second
d. 16.86 feet per second
Answer:
16.86 ft/s
Step-by-step explanation:
Given that,
Angular speed of a carousel, [tex]\omega=14\ rev/min[/tex]
The diameter of the carousel, d = 23 feet
We need to find the speed of the carousel and jump on.
[tex]\omega=14\ rev/min=1.46\ rad/s[/tex]
Radius, r = 11.5 feet
Let v is the velocity. So,
[tex]v=r\omega\\\\=11.5\times 1.46\\\\=16.79\ ft/s[/tex]
Hernce, the correct option is (d) "16.86 ft/s"
in the problem (5x8) + 3^2(7) which step should you perform last
Answer:
3^2(7)
Step-by-step explanation:
(5×8)+3^2(7)
40+3^2(7)
40+9(7)
40+63=103
Find The slope of the line that passes through (3,15) and (6,10)
Answer:
-5/3
Step-by-step explanation:
10-15=-5
6-3=3
Answer:
-5/3
Step-by-step explanation:
m=y2-y1/x2-x1
10-15-(-5)
6-3=3
-5/3
hope this helped :3
sorry if it is wrong
Find the slope of each line.
Solve for x.
Help ASAP please!!!
Answer:
The value of x is 4
Step-by-step explanation:
In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then
∵ The length of one side of the right triangle = (x + 2)
∵ The length of the hypotenuse = x + 5
∴ (x + 2)² = x (x + 5)
∵ (x + 2)² = (x + 2)(x + 2)
∴ (x + 2)(x + 2) = x(x + 5)
→ Simplify the two sides
∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)
∴ x² + 2x + 2x + 4 = x² + 5x
→ Add the like terms in the left side
∴ x² + 4x + 4 = x² + 5x
→ Subtract x² from both sides
∵ x² - x² + 4x + 4 = x² - x² + 5x
∴ 4x + 4 = 5x
→ Subtract 4x from both sides
∴ 4x - 4x + 4 = 5x - 4x
∴ 4 = x
∴ The value of x is 4
The circumference of a circle can be found using the formula C = 2πr.
Which is an equivalent equation solved for r?
Answer:r=C/2π
Step-by-step explanation:
PLEASE ANSWER!!!! I WILL MARK YOU AS BRAINLIEST PLEASE SCHOOL IS STRESSFUL AND I JUST WANT TO GET THIS DONE!!!
Answer:
Negative, Zero, Undefined, Positive, -10, -2/3, 3/5
Step-by-step explanation:
Answer:
just follow what it says for #5 and above.
Step-by-step explanation:
Look up angels
See witch one looks like the one you have
See what it says
Put it on the paper.
`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` (3, 8) and (4, -2)
(-3, 2) and (6, -4)
I didn't copy off of google!Rebotar Inc. makes basketballs. Their fixed costs are $3,450. Variable costs are $12 per basketball. If the basketball is priced at $25 and 300 basketballs are sold, did Rebotar break even? How do you know? Show all work
Given:
Fixed cost = $3,450
Variable cost = $12 per basketball
Selling price = $25 per basketball
Number of basketball sold = 300
To find:
Whether Rebotar did break even.
Solution:
According to the question,
Cost of 1 basketball = $12
Cost of 300 basketball = $12×300
We know that,
Total cost = Fixed cost + Variable cost
[tex]TC=3450+12(300)[/tex]
[tex]TC=3450+3600[/tex]
[tex]TC=7050[/tex]
So, the total cost is $7050.
Now,
Selling price of a basketball = $25
Selling price of 300 basketball = $25×300
Total revenue is
[tex]TR=25\times 300[/tex]
[tex]TR=7500[/tex]
So, total revenue is $7500.
At break even situation the profit is zero. In other words, the total revenue is equal to total cost.
Since, [tex]TC\neq TR[/tex], therefore, Rebotar did not break even.
what is 118.4 billion in standard notation and scientific notation
Construct a truth table for the given statement.
(~q^p)V(q^p)
Complete the truth about table
I think what I have done is wrong please help
Answer:
I'm going by lines
TTFFTTTFTTFTFTFFFFFFTFFFI will give brainliest and thanks
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.
Answer:
The correct answers are a, c and d
Step-by-step explanation:
Mack baked three different cakes, each requiring varying amounts of sugar. The first cake needed 1 and 1/4 cups of sugar, the second one needed 1 and 3/4 cups and the last one needed 1 and 2/4 cups. How much sugar was needed to bake the cakes?
A. 3 and 1/4 cups
B. 3 and 3/4 cups
C. 4 and 1/2 cups
D. 5 cups
Answer:
C.
Step-by-step explanation:
Add the whole numbers first
then add 1/4 and 3/4 which makes 4 cups then 2/4 =1/2
4 and 1/2 cups
What is the measure of x?
a.144°
b.18°
c.72°
d.36°
need help with the question in the image
Answer:
y=2
Step-by-step explanation:
the image and preimage are 6 units apart so thhe line of reflection is in the middle at 3 units and is a line that is paralel to the x-axis
y=2
Question 10 of 10
What is the value of y?
604
12
12
80A
A
12
O A. 60°
O B. 120
O C. Cannot be determined
O D. 36
Answer:
A. 60°
General Formulas and Concepts:
Geometry
Equilateral Triangle - All side lengths and angles are equal to each otherStep-by-step explanation:
From the picture given, we see that all the side lengths are 12. Therefore, we can conclude that triangle ABC is an equilateral triangle.
Therefore, m∠y must equal 60°.
Someone pls help!! 15 points!
2f=-12
What is f?
f=?
Answer:
-6
Step-by-step explanation:
Catherine has been managing her company for a couple of years. She now plans to expand her business by bringing in fresh funding through a new stock issue. She would like to inform her investors about this development. What would Catherine use to inform investors about this development in her company?
Catherine would use _________ to inform investors about the development in her company.
Answer:
I would say that for Catherine, the best place to inform her investors about a new stock issue would be a news release on her company website so in that way it is made public, informs the investors and may attract more capital investment in the company as well.Step-by-step explanation:
Answer:
I believe the answer is company website
Step-by-step explanation:
if i'm incorrect i'm sorry
Write the product using exponents.
(−t)⋅(−t)⋅(−t)⋅(−t)⋅(−t)
Using exponents, the product is
The cost of gasoline for 12 gallons is $22.18. What is the cost of 1 gallon?
Answer:
$1.85
Step-by-step explanation:
12 gallons = $22.18
1 gallon = $22.18 ÷ 12
1 gallon = $1.85
Simplify each expression (2a^4)^-3,a does not =0
Answer:
3rd option.) 1/8a^12
Step-by-step explanation:
(2a⁴)^-3
=1/(2a⁴)³
=1/8a^12
Answer: The next one is 3. 7/2v^2
Step-by-step explanation: In case you needed help with that