A ski resort claims that there is a 75% chance of snow on any given day in January and that snowfall happens independently from one day to the next. A family plans a four-day trip to this ski resort in January. Let X represent the number of days it snows while the family is there. What are the mean and standard deviation of X?
Option Choices:
Answer:
Its D
Step-by-step explanation:
Using the binomial distribution, it is found that the mean and the standard deviation of X are given as follows:
[tex]\mu_X = 3, \sigma_X = 0.87[/tex]
What is the binomial probability distribution?The expected value of the binomial distribution is:
[tex]\mu_X = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sigma_X = \sqrt{np(1-p)}[/tex]
In this problem, the proportion and the sample size are given as follows:
p = 0.75.n = 4.Hence, the mean and the standard deviation are given by:
[tex]\mu_X = np = 4(0.75) = 3[/tex]
[tex]\sigma_X = \sqrt{np(1-p)} = \sqrt{4(0.75)(0.25)} = 0.87[/tex]
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ2
PLEASE HELP
Which equation is the slope-intercept form of this equation?
y−10=−2(x+6)
a) y−10=−2x−12
b) 2x+y=−2
c) y=−2x−2
d) x=−12y−1
Answer:
C.
Step-by-step explanation:
The slope intercept form is:
y= mx +b
so you first want to start off by looking for the equation with y being the sum. In this case, there is only one, so you don't have to do anymore work.
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double
the height.
The volume of the cylinder is __ in.³.
The volume of a cylinder with the same radius and double the height is __ in.³.
about 78.54
V=π·5^2·1 = 78.54
Answer:
Find the volume of the cylinder.
[tex]\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times ( {5)}^{2} \times 1 }[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} =3.14 \times 25 \times 1 }[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} =78.50 \: in {}^{3} }[/tex]
Find the volume of a cylinder with the same radius and double the height.
[tex]\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times {(5)}^{2} \times 2}[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times 25 \times 2}[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} = 157 \: in {}^{3} }[/tex]
Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 888 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 252525 by 646464 centimeters. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium? centimeters
Answer:
5=h
Step-by-step explanation:
did it on Khan! You're welcome <3
Pat Harford is a student taking a statistics course. unfortunately, Pat is not a good student. Pat does not read the textbook before class, does not do homework, and regularly misses class. Pat intends to rely on luck to pass the next quiz. the quiz consists of 10 multiple choice questions. Each question has five possible answers, only one of which is correct. Pat plans to guess the answer to each question.
1) What is the probability that Pet gets no answer correct?
2) What is the probability that Pat get two answer correct?
Answer:
pz
Step-by-step explanation:
What is the area of a rectangle that measures 4 1/2 by 2 1/2 inches
Answer:
11.25
Step-by-step explanation:
the equation to find the area of a rectangle is A=w*l
A=2.5*4.5
A=11.25
the store is selling lemons at 0.53 each. each lemon yields about 2 tablespoons of juice. how much will it cost to buy enough lemons to make three 9inch lemon pies, each requiring half a cup of lemon juice?
Answer:
$6.36
Step-by-step explanation:
3 pies require 3/2 cups of lemon juice
16 tablespoons = 1 cup
need 24 tablespoons of lemon juice
need 12 lemons at $0.53 each
total cost = 12 x 0.53 = $6.36
Erin records the following temperatures (in degrees
Fahrenheit) at noon during one week:
91, 95, 95, 95, 92, 95, 93
These temperatures do not contain an extreme value.
Which measure of center should Erin use to describe the temperatures?
O A. Mean absolute deviation (MAD)
B. Either the mean or the median. The values are about the same.
C. Interquartile range (IQR)
O D. Range
Answer:
I think the correct answer should be B
Answer:
B
Step-by-step explanation:
B because there is no extreme values
One plumber charges a flat fee of $50 to come to the house and then
$20 per hour. If h represents the number of hours that the plumber spent
fixing the problem and C represents the total charge, which of the following
equations shows how to determine the total fee charged?
C=50+20h
C=(50+20)h
C=h+50+20
C=20+50h
Answer:
C=50+20h
Step-by-step explanation:
The $50 dollars in this equation is a flat fee, no variable to it. It doesn't increase or decrease depending on the number of hours. The $20 dollars is dependent on the number of hours the plumber works. If the plumber works 2 hours they get $40 dollars, the amount the plumber receives depends on the hours worked. The h in the equation is a placeholder for hours worked. To solve the equation just replace h with the hours worked and solve to get the answer.
Find the volume of this solid figure. Use π = 3.14.
WITH SOLUTION PLEASE AND NO LINKS!
Step-by-step explanation:
you can get simply V= ABh πr^2 h π3.14^2 x 17.9 then you get the answer Ihope I can help you
Please help me solve this
Answer:
x=2√41
Step-by-step explanation:
According to Pythagorean theorem:
14²=(4√2)²+x²
x²=14²-32=164
x=√164=2√41
A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There are different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below:
Student type
Region undergraduate graduate
East $10 $15
Central $12 $18
West $15 $21
The requirements for the survey are as follows:
The survey must have at least 1500 students.
At least 400 graduate students.
At least 100 graduate students should be from the West
No more than 500 undergraduate students should be from the East
At least 75 graduate students should be from the Central region
At least 300 students should be from the West
The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region.
Required:
Clearly state the problem (objective function, constraints)
Answer:
Objective Minimize 10x1 +15x2 + 12x3+18x4+15x5+ 21x6
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
Step-by-step explanation:
Let
X1 = # of undergraduate students from the East region,
X2 = # of graduate students from the East region,
X3 = # of undergraduate students from the Central region,
X4 = # of graduate students from the Central region,
X5 = # of undergraduate students from the West region, and
X6 = # of graduate students from the West region.
Then the cost functions are
y1= 10x1 +15x2
y2= 12x3+18x4
y3= 15x5+ 21x6
According to the given conditions
The constraints are
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500------- A
15X2 +18X4+21X6 ≥ 400---------B
21X6 ≥ 100
X6 ≥ 100/21
X6 ≥ 4.76
Taking
X6= 5
10X1 ≤ 500
X1 ≤ 500/10
X1≤ 5
18X4 ≥ 75
X4 ≥ 75/18
X4 ≥ 4.167
Taking
X4= 5
Putting the values
15X5+ 21X6 ≥ 300
15X5+ 21(5) ≥ 300
15X5+ 105 ≥ 300
15X5 ≥ 300-105
15X5 ≥ 195
X5 ≥ 195/15
X5 ≥ 13
Putting value of X6 and X4 in B
15X2 +18X4+21X6 ≥ 400
15X2 +18(5)+21(5) ≥ 400
15X2 +195 ≥ 400
15X2 ≥ 400-195
15X2 ≥ 205
X2 ≥ 205/15
X2 ≥ 13.67
Taking X2= 14
Now putting the values in the cost equations to check whether the conditions are satisfied.
y1= 10x1 +15x2
y1= 10 (5) + 15(14)= 50 + 210= $ 260
y3= 15x5+ 21x6
y3= 15 (13) + 21(5)
y3= 195+105= $ 300
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500
5+14+x3+5+13+5≥ 1500
x3≥ 1500-42
x3≥ 1458
y2= 12x3+18x4
y2= 12 (1458) + 18 (5)
y2= 17496 +90
y2= $ 17586
The cost can be minimized if the number of students from
Undergraduate Graduate
East Region X1≤ 5 X2 ≥ 13.67
Central X3≥ 1458 X4 ≥ 4.167
West X5 ≥ 13 X6 ≥ 4.76
This will result in the required number of students that is 1500
Constraints:
East Undergraduate must not be greater than 5
East Graduate must not be less than 13
Central Undergraduate must be greater than 1458
Central Graduate must be greater than 4
West Undergraduate must be greater than 13
West Graduate must be greater than 4
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The east region has a least cost of $260 and west region has a cost of $300.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
Simplification of 1.5kg:250gm gives what
Answer:
1500g:250g
=
6:1
Hope i could help :)
1.5kg = it gives you swag < 3
A 10 foot ladder is leaning against a building. It forms a 30 degree angle with the ground. How far away from the building is the foot of the ladder? Round your answer to the nearest hundredth. 5 feet, 5.77 feet, 8.66 feet, or 20 feet
x = 8.66 ft
Step-by-step explanation:
cos 30 = adj/hyp = x/10
---> x = (10 ft)cos30
= 8.66 ft
If the standard deviation of the data values in a sample is 13, what is the
variance of the data values?
A. 169
B. 225
C. 289
D. 361
Answer:
A. 169 is the correct answer
please help me someone
Base = 5 * 12 = 60 in^2
Height = 4 in
Perimeter is the sum of all straight
Perimeter = 20 + 16 + 48
Perimeter = 84 in
Perimeter of base = 12 * 2 + 5 * 2 = 34
4x+(3x+2)=3x(4+2)................................
Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table.
t (sec) 0 10 20 30 40 50 60
v (ft/s) 0 9 33 59 75 72 53
Estimate the distance traveled by the vehicle during this 60-second period using the Riemann sums
L6:
R6:
M3:
Find the probability that a randomly selected dog owner
spent $100 or more on health care and the dog was a
mixed breed. (Type your answer in SIMPLIEST form)
How many cups are on 2.5 liters
Answer:
10.56 cups is your correct answer
Step-by-step explanation:
To convert liters to cups, multiply the volume value by 4.227
Have a great day!
Answer:
10.567
Step-by-step explanation:
cups in 2 liters is 8.454 and half a liter is 2.113
I just added that
What is the slope-intercept equation of the line below?
(2,3)
(0,-5)
Answer:
y = 4x - 5
Step-by-step explanation:
plug the coordinates into the equation: y = mx + b
3 = 2m + b
-) -5 = 0m + b
___________
8 = 2m => m = 4
substitute 4 into either of the equation 3 = 2m + b or -5 = 0m + b to solve for b
=> 3 = 2(4) + b
=> b = -5
plug m = 4 & b = -5 into the slope-intercept equation: y = mx + b
=> y = 4x - 5
if two supplementary angles is in the ratio 7:8 find the complement of the smaller angle
Answer:
6°
Step-by-step explanation:
Let
the supplementary angles be 7x and 8x so,
7x+8x=180 ,15x=180 ,x=180/15 ,x=12
smaller angle=7x=7×12=84°
complement of 84°=90°-84°=6°
Determine whether the statement is true or false. Give an example,
If f' (x)= g' (x), then f(x) = g(x)
False; consider the functions f(x) = x and g(x) = x + 1. Clearly f(x) ≠ g(x), but both f '(x) = 1 and g'(x) = 1.
Eight members of a school marching band are auditioning for 3 drum major
positions. How many ways can students be chosen to be drum major?
*
Answer:
Step-by-step explanation:
Find the surface area of the square pyramid.
S=
7(x+4)-6(x+3)=x+5
What is x?
Answer:
Equation has no solutions.
Step-by-step explanation:
7x + 28 - 6x - 18 = x + 5
7x + 10 - 6x = x + 5
x + 10 = x + 5
x + 10 - 10 = x + 5 - 10
x = x - 5
x - x = x - x - 5
0 ≠ - 5
If mZ2 = 26, what is mZ16?
11 12
314
1413
15 16
65
718
(not drawn to scale)
A
64
B
26
с
16
D
154
9514 1404 393
Answer:
B. 26
Step-by-step explanation:
All acute angles in the figure are congruent. All obtuse angles in the figure are congruent. All of the even-numbered angles are acute and have the measure 26.
m∠16 = 26
The probability of a golden retriever catching a tennis ball in mid-air is 81%. Find the probability that a golden retriever catches three tennis balls in mid-air.
Answer: 53.1441%
==========================================================
Explanation:
Assuming each event is independent of one another, the probability of catching the tennis ball three times in a row is
(0.81)^3 = (0.81)*(0.81)*(0.81) = 0.531441
This converts to 53.1441%
Find the perimeter of a
hexagon with each side
measuring 184 ft.?
Answer:
P = 1104
a - Side
Step-by-step explanation:
P = 1104
a - Side
Answer:
P=1140
Step-by-step explanation:
P=1140 BANANA SORRY THE ANSWER I DONT HAVE IT BUT HAVE A GOOD DAY
(1/4)^3+(3/4)^3+3(1/4)(3/4)(1/4+3/4)
Answer:
[tex]\frac{43}{16}[/tex]
Step-by-step explanation:
[tex](\frac{1}{4})^{3}+(\frac{3}{4})^{3}+3(\frac{1}{4})(\frac{3}{4})(\frac{1}{4}+\frac{3}{4}) = \\\\\frac{1}{64}+\frac{27}{64}+3(\frac{3}{4})(\frac{4}{4}) = \\\\\frac{28}{64}+3(\frac{3}{4}) = \\\\\frac{28}{64}+\frac{9}{4} =\\\\\frac{28}{64}+\frac{144}{64} = \frac{172}{64} = \frac{43}{16}[/tex]