A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17.
(a) What must be true regarding the distribution of the population in order to use the
normal model to compute probabilities involving the sample mean? Assuming that
the condition is true, describe the sampling distribution of sample mean.
(b) Find P(x < 67.3).
(c) Find P(x > 65.2).
Answer:
Kindly check explanation
0.57691
0.4719
Step-by-step explanation
A.) The distribution of sample means must follow a normal distribution ;
Mean = 64 ; Standard deviation = 17 ;
Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155
N(64 ~ 17)
Given that:
mean (m) = 64
Sample size (n) = 20
Standard deviation (s) = 17
Find
P(x < 67.3)
Z = (x - m) / s
Zscore = (67.3 - 64) / 17
Zscore = 0.1941176
P(Z < 0.194) = 0.57691 (Z probability calculator)
(c) Find P(x > 65.2).
Zscore = (65.2 - 64) / 17
Zscore = 0.0705882
P(Z > 0.0705) = 0.4719 (Z probability calculator)
Help please
Sarah's rectangular dining table has a area of 9000 sq ft and the length is 20 in less then four time the width find the length and width
Given that,
The area of a rectangular dining table = 9000 sq ft
Solution,
Let the width is b ft. Length is 20 less then four time the width.
Length = (4b-20) ft
The formula for the area of a rectangle is given by :
A = lb
Substitute all the values,
[tex]9000=b(4b-20)\\\\4b^2-20b-9000=0\\\\\text{It is a quadratic equation, when we solve it we get :}\\\\b=50,-45\ feet[/tex]
Neglecting negative value, b = 50 ft
Length, l = (4(50)-20)
l = 180 ft
So, the length is 180 ft and width is 50 ft.
Samuel rode his bicycle down the street. The distance he traveled in time was recorded. What equation best represents the data in the table?
y = -5x + 10
y = 5x
y = 5x + 10
y = -5x
Answer:
Step-by-step explanation:
Y=5x
Answer:
2nd one
Step-by-step explanation:
HELP ME PLS AKANKANWKWN
Answer:
The answer is C, the third one.
What should be done to both sides of the equation in order to solve y + 8.5 = 17.2?
Add 8.5.
Subtract 17.2.
O Add 17.2.
Subtract 8.5.
Answer:
Subtract 8.5
Step-by-step explanation:
To solve the equation, y has to be isolated (only y will be on one side of the equation)
To do this, we have to get rid of the 8.5, so it has to be subtracted from both sides.
So, the correct answer is subtract 8.5
Subtract 8.5 from both sides to solve equation.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following equation -
y + 8.5 = 17.2
y + 8.5 - 8.5 = 17.2 - 8.5
y = 8.7
Therefore, Subtract 8.5 from both sides to solve equation.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
A city planner is considering adding a pedestrian crossing signal to a particular intersection. They know that on average 11.5 cars go through the intersection each minute. It takes an average person 10 seconds to walk across the intersection. Name the distribution appropriate to model the time to the next car crossing this intersection (in minutes). Use the proper notation, and include the value of the distribution parameter (s).
Answer:
The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5
and the PMF of X is;
P (X = x) = e^-λ ( λˣ / x! ); where x = 0, 1, 2, 3, , , , , ,
Step-by-step explanation:
Given that;
on average eleven and a half cars go through the intersection each minute and It takes an average person ten seconds to walk across the intersection.
Therefore
The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5
and the PMF of X is;
P ( X = x ) = e^-λ ( λˣ / x! ) ;
where x = 0, 1, 2, 3, , , , , ,
A culture started with 6,000 bacteria. After hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number
Answer:
that would be c i had that ques 5 mns ago
Step-by-step explanation:
Answer:
It’s 3600
Step-by-step explanation:
If the wholesale price is $10, the 50% ........................ is $5.
Answer:
Concept: Mathematical Analysis
If the wholesale price is the markup from the manufacturer price then the price is $10You are asked to find 50% of the markup wholesale price Hence you do $10 × 0.50 to get $5.00You do 10.00-5.00= $5.00What percent of 855 is 990
Answer:
86.36%
Step-by-step explanation:
Answer:
116%
Step-by-step explanation:
990% of 855 = 1.15789473684 or
= about 116%
help please I'm lost
Answer:
translation
W(-10, 0)
X(-10, -8)
Y(-18, -4)
Z(-14, 8)
dilation
W(-8, 16)
X(-8, 0)
Y(-24, 8)
Z(-16, 32)
Step-by-step explanation:
In translation, all you are doing is taking each point and subtracting 6 from the x, and subtracting 8 from the y. The point of W is (-4, 8). Thus you do (-4 - 6 , 8-8) and you get the new point (-10,0). Repeat this for all the others.
In dilation you are multiply both x and y by 2. For point W you do (-4*2, 8*2) to get the new point (-8, 16). You repeat this for the remaining points.
please give thanks by clicking the heart button :)
of the 8 friends sitting around the table at lunch, 6 brought their lunch from home. Which
grid represents the percent of the friends who brought their lunch from home?
You didn't provide any grid, but I can tell you how to turn fractions into percentages: just build the following proportion
[tex]6\div 8=x\div 100[/tex]
and solve for [tex]x[/tex]:
[tex]x=\dfrac{600}{8}=75[/tex]
So, 75% of the friends brought their lunch from home.
What is 0.000435 in scientific notation?
A. 4.35 • 10/6
B; 4.35 • 10/4
C; 4.35 • 10/6
D; 4.35 • 10/4
Answer:B; 4.35 • 10/4
Step-by-step explanation:
5. Viruses spread at an exponential rate. Write a model for a virus that starts with 1 person and increases by 400% every week. Write an exponential model in the form y=ab^x to represent this situation.
Answer:
y = 4^xStep-by-step explanation:
Initial number is 1 so a = 1
Weekly growth rate is 400% which is 4 times increase, therefore b = 4
So the function becomes:
y = 4^xA restaurant sells coffee refill mugs for $5.75. Each refills
costs $1.50. Last month James spent $24.50 on mug and refill
Write an equation you can find the number of refills James bought.
Let, r, represent the number of refills.
I’m going to continue using up all my points
if you want brainliest, answer at least one of these questions:
What is the most embarrassing thing you’ve done in your life?
or
What is your favorite animal? (If you don’t have one, say your favorite foods or color)
Answer:
My favorite color is purple (any shade of purple) My favorite animal is between birds and dogs. Have an amazing day!
The Canadian labor force as of 2019 was 32.7 million. There were 30.9 million employed What the unemployment rate would be?
Answer:
The unemployment rate would be 5.5%.
Step-by-step explanation:
It is given that,
The Canadian labor force as of 2019 was 32.7 million.
There were 30.9 million employed
We need to find the unemployment rate.
Unemployed = labor force - employed
= 32.7 - 30.9
= 1.8 million
[tex]\text{unemployment rate}=\dfrac{\text{unemployed}}{\text{labor force}}\times 100\\\\=\dfrac{1.8}{32.7}\times 100\\\\=5.5\%[/tex]
So, the unemployment rate would be 5.5%.
Tawfiq Trading Company plans to supply 50,000 cartons of oil in January 2021 with the carton selling for $ 20.
It is predicted that the imported oil will fall by 20,000 if the price of a carton of oil falls by 20%.
develop the Supply Equation formula?
Answer:
[tex]\displaystyle s=5,000p-50,000[/tex]
Step-by-step explanation:
Linear Model
The supply of cartons of oil in January 2021 is predicted to reach 50,000 cartons for Tawfiq Trading Company with the carton selling for $20.
If we call s the supply of cartons and p the price, the ordered pair (p,s) for this condition is (20 ; 50,000).
It's predicted that the supply will fall by 20,000 if the price falls by 20%. The new supply will be 50,000-20,000=30,000 and the new price will be 0.8*$20=$16. This gives us the second point (16 ; 30,000)
The equation of a line passing through points (p1,s1) and (p2,s2) can be found as follows:
[tex]\displaystyle s-s_1=\frac{s_2-s_1}{p_2-p_1}(p-p_1)[/tex]
Substituting the given points:
[tex]\displaystyle s-50,000=\frac{30,000-50,000}{16-20}(p-20)[/tex]
Calculating:
[tex]\displaystyle s-50,000=\frac{-20,000}{-4}(p-20)[/tex]
[tex]\displaystyle s-50,000=5000(p-20)[/tex]
Operating and simplifying:
[tex]\displaystyle s-50,000=5,000p-100,000[/tex]
[tex]\mathbf{\displaystyle s=5,000p-50,000}[/tex]
Finding Angles By Deg
Determine if the angle described is 'acute', 'obtuse',
1) 180°
2) 46°
3) 53°
Answer:
1) Obtuse
2) Acute
3) Acute
Step-by-step explanation:
Anything under 90 degrees is an Acute angle, while anything above is an Obtuse. A 90 degree angle is a right angle.
Please Brainiest!
A 10 pound bag of grapes costs $14.00. How much is it for 1 pound of grapes?
Answer:
1.40
Step-by-step explanation:
I feel if you divide $14.00 by 10 you would get 1.40, so I say this should be the right answer.
I apologize if I am incorrect.
Answer:
The cost per pound is 1.4.
Step-by-step explanation:
If you divide 14 and 10 it makes 1.4.
Which statements are ture about 5/6 and 7/10 ?Check all that apply
Answer:
is that all?
Step-by-step explanation:
isnt there more to the problem?
Question 5 of 10
If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f+ g)(x).
O A. 3x2 + 6
B. 5x2 - 6
C. 3x2 - 4
D. 5x2 - 4
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) = (4x² + 1) + (x² - 5) = 5x² - 4. (D)
Answer:
D. 5x^2-4
Step-by-step explanation:
We are asked to find (f+g)(x), which is really just the sum of the two functions.
(f+g)(x)=f(x)+g(x)
We know the the functions are:
• f(x)= 4x^2+1
• g(x)=x^2-5
Substitute the functions in.
(f+g)(x)=(4x^2+1)+(x^2-5)
Add the functions by combining like terms. For this equation, the like terms are those with x^2 and the constants.
(f+g)(x)= (4x^2+x^2)+(1-5)
Add the terms with x^2
(f+g)(x)=(5x^2)+(1-5)
Add the constants or terms without variables.
(f+g)(x)=(5x^2)+(-4) = 5x^2-4
The sum of the functions is D. 5x^2-4
Pls hurry I need the answer
=============================================
Work Shown:
Apply the law of cosines
a^2 = b^2 + c^2 - 2*b*c*cos(A)
10^2 = 13^2 + 11^2 - 2*13*11*cos(A)
100 = 290 - 286*cos(A)
100-290 = -286*cos(A)
-190 = -286*cos(A)
190 = 286*cos(A)
286*cos(A) = 190
cos(A) = 190/286
A = arccos(190/286)
A = 48.368620460647
A = 48
Make sure your calculator is in degree mode.
1a. A plant is $24 with a discount of 25% off. What is the discount ? (The
amount you save)
Answer:
The discount is $6, and the original price with the discount is $18.
Step-by-step explanation:
First we need to convert the percent 25%. into a decimal, 0.25.
Now we need to multiply the cost and the percentage. 24 × 0.25 = 6.
The discount is $6.
Now we need to subtract the original price and the discount.
$24 - $6 = $18.
A rectangle has a width of 3 units and a length of 4 units. Nancy needs to increase both the length and the width of the rectangle by 2 units.
Image_8672
Which statement describes how the area of the rectangle will change?
Step-by-step explanation:
The length of a rectangle, l = 3 units
The breadth of a rectangle, b = 4 units
Nancy needs to increase both the length and the width of the rectangle by 2 units.
The area of a rectangle is given by
A = length(l) × breadth(b)
Here,
A = 3 × 4
= 12 unit²
If both length and width of the rectangle increase by 2 units,
New length = (4+2) = 6 units
New width = (3+2) = 5 units
New area = 6 × 5 = 30 unit²
Hence, new area becomes 30 unit².
Diana creates a graph of money she earns y for working x hours the graph contains the points 34,408 40,489 46 588
Answer:D and E I think
Step-by-step explanation:
Please help ill give brainliest
Answer:
1- true
2- dairy
3- false
The sum of eighteen and eight times a number is ninety.
what is the number?
Answer:
9
Step-by-step explanation:
9x8=72 72+18=90
which point on the line number line represntes -1/3
Answer:
Point C
Happy Holidays!
Step-by-step explanation:
ay
20 points
Two mountain bikers are riding on a 35-mile trail. Abel started at the beginning of the trail and is riding at a rate of 14
miles per hour. Neal started 6 miles ahead of Abel and is riding at a rate of 11 miles per hour. When will the boys be
at the same point on the trail?
If Abel's journey is represented by the equation d = 14t, where d represents the total distance and t represents time
in hours, what equation represents Neal's journey?
Two mountain bikers are riding on a 35-mile trail. Abel started at the beginning of the trail and is riding at a rate of 14 miles per hour. Neal started 6 miles ahead of Abel and is riding at a rate of 11 miles per hour. When will the boys be at the same point on the trail?
If Abel’s journey is represented by the equation d = 14t, where d represents the total distance and t represents time in hours, what equation represents Neal’s journey?
d = 11t + 6
11 and 6 are your answers
Please mark Brainliest
Answer:
11 and 6 are correct
Step-by-step explanation:
A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.
Answer:
We conclude that the equation in slope-intercept form for this line will be:
[tex]y\:=\:\frac{-5}{4}x+2[/tex]
Step-by-step explanation:
Given
The point = (-4, 7)slope = m = -5/4We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
Using the slope-intercept form to find the y-intercept 'b'
substituting m = -5/4 and the point (-4, 7)
[tex]y = mx+b[/tex]
[tex]7=\:\frac{-5}{4}\left(-4\right)+b[/tex]
[tex]-\left(-5\right)+b=7[/tex]
[tex]5+b=7[/tex]
subtract 5 from both sides
[tex]5+b-5=7-5[/tex]
[tex]b=2[/tex]
now substituting b = 2 and m = -5/4 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{-5}{4}x+2[/tex]
Therefore, we conclude that the equation in slope-intercept form for this line will be:
[tex]y\:=\:\frac{-5}{4}x+2[/tex]
