Answer:
a) 2.66
b) 9
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
We have that [tex]\sigma = 8.4, n = 10[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{8.4}{\sqrt{10}} = 2.66[/tex]
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8?
This is n when [tex]s = 2.8[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.8 = \frac{8.4}{\sqrt{n}}[/tex]
[tex]2.8\sqrt{n} = 8.4[/tex]
[tex]\sqrt{n} = \frac{8.4}{2.8}[/tex]
[tex]\sqrt{n} = 3[/tex]
[tex](\sqrt{n})^2 = 3^2[/tex]
[tex]n = 9[/tex]
In a population of 2000 students, 230 are left-handed. A random sample of size
50 is selected and the number of left-handed students is recorded. If we
collected many more samples, which of the following could describe the
sampling distribution?
what is the value of x ?
Enter your answer in the box . ° ?
Answer:
307°
Step-by-step explanation:
The sum of all the angles of a hexagon is equal to 900°.
So,
112+x+120+100+128+133 = 900
593+x = 900
x = 900-593
x = 307°
So, the value of x is equal to 307°.
A zookeeper is 6 feet tall. A young giraffe in his care is 9 feet tall.
1. How many times as tall as
the zookeeper is the giraffe?
2. What fraction of the giraffe's
height is the zookeeper's height?
(Pls help due in 40 minutes)
Answer:
Step-by-step explanation:
The giraffe is 3 times taller than the zookeeper. 2/3 the height.
If y varies directly as x, and y = 7 when x = 3, find y when x = 7
Answer:
AStep-by-step explanation:Direct variation, by definition, has the form shown below:
y=kx
Where k is the constant of proportionality.
Given the information in the problem, you can find k:
7=3k
k=7/3
Now you can find y when x=7 as following:
y=(7/3)x
Substitute values.
y=(7*7)/3
y=49/3
Answer this, please! Anybody
Answer:
1/4 and 1/8 which shold multiply
Step-by-step explanation:
. Seven cards are numbered from 1 to 7 and placed in a box. One card is selected at random, then replaced. Another
card is randomly selected. What is the probability of selecting two odd numbers?
Answer:
Im not sure, but I can give advice!
Step-by-step explanation:
Study and wach yt vids (: hope I helped a bit!
Answer:
25/59
Step-by-step explanation:
Since there are 5 odd cards and 7 cards total, the probabilty of drawing an odd card is 5/7.
he probability of two events happening is the probability of each multiplied together, so multiply 5/7 by 5/7 to get 25/49.
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y- intercept of the line that models this situation?
A. Slope=- 0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
Answer:B
Step-by-step explanation
The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data in the table is,
Altitude(x) Boiling point (y)
0 212.0
500 211.1
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 211.1 - 212 ) / (500 - 0 )
Slope = -0.0018
The y-intercept will be calculated as,
y = mx + c
212 = 0 + c
c = 212
Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ2
NEED ANSWERS ASAP TY
Answer:
11
Step-by-step explanation:
Answer: 11
Step-by-step explanation: Because t has the same sides as the 11's do
Record' s calculated
Use the figure to complete the statements point is the center of rotation the rectangle EFGH is rotated 90° around the origin in direction
Answer:
1. Point C
2. a clockwise
Step-by-step explanation:
Got the question right
Answer:
correct answer below
Step-by-step explanation:
I will mark genius!!! Please help
change the fraction to a decimal and a percent. go three decimal places
Find the altitude of the triangle.
30 degrees
Hypotenuse of 14
Answer:
Approx. 12.124 units tall
Step-by-step explanation:
Since you need to find the height (which is adjacent to the given angle), you need to use cosine (adj. over hypotenuse).
cos(30) = x/14
Multiply both sides by 14:
14cos(30) = x
Hope this helps :)
Solve for x.
6
4
X
6
1
x = [?]
Enter the number, in decimal form,
that belongs in the green box.
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the segments proportionally. This means they satisfy ...
bottom segment / side segment = x/6 = (6-x)/4
Multiplying by 12 gives ...
2x = 3(6 -x)
2x = 18 -3x . . . . . eliminate parentheses
5x = 18 . . . . . . . . add 3x
x = 3.6 . . . . . . . . . divide by 5
_____
Alternate solution
I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.
A population of bacteria P is changing at a rate based on the function given below, where t is time in days. The initial population (when t = 0) is 900. dP dt = 2900 1 + 0.25t Write an equation that gives the population at any time t. Then find the population when t = 2 days. (Round your answer to the nearest whole number.)
Which set of ordered pairs satisfies the equation
f(x)=7x+20
Answer:
The 2nd one
Step-by-step explanation:
camie and jorge each saving money for a new computer camie saves $5 per week plus $50 she received for her birthday. jorge saves $7 per week. which of the following can be used to find w the number of weeks until jeorge has saved at least the same amount as camie
Answer:
7w > 5w + 50
Step-by-step explanation:
Ana read 7 books. Each book had 5 chapters. She read the same amount of chapters every day for "n" days
Find the discount.
Original price: $0.75
Discount: ??
Sale price: $0.15
Answer:
80%
Step-by-step explanation:
0.75 ⇒ 100%
0.15 ⇒ x%
0.75x = 100·(0.15)
0.75x = 15
x = 15/(0.75)
x = 1500/75
x = 20%
100% - (discount) = x%
100% - (discount) = 20%
discount = 100%-20%
discount = 80%
Answer:
60% off
Step-by-step explanation:
Solve for x.
Your Answer:
Question 3 options:
Answer
margie bought 8 cans of tomato soup and 4 cans of mushroom soup. she spent nine dollars and eighty-eight cents. the tomato soup cost $0.79 per can. what did the mushroom soup cost per can?
A boat traveled at a speed of 84.4 mph for a duration of 15 minutes. What was the distance (in miles) it traveled?
What is 48.6% of 19?
Please
3/4r+2r+1/2
Plssss help and hurry thanks!
Answer:
3.25r
Step-by-step explanation:
Im converting them to decimals because its easier to write on brainly so 0.75r+2r+0.5r = 3.25r
Answer:
Answer is 11r/4 + 1/2
Step-by-step explanation:
3/4r + 2r + 1/2 = 11r/4 + 1/2
The attendance at a new weekly exercise class doubled each week until week 4, when it reached its maximum capacity of 24 people
Answer:
Half Maximum capacity a week 3. And the class started off with 3 people.
Step-by-step explanation:
A certain coin is a circle with diameter 36 mm. What is the exact area of each side of the coin?
The exact area of each side of the coin is
mm?
Answer:
P=36pi
A=3324pi
Step-by-step explanation:
36 diameter so 18 radius but i dont know about what do you mean by side of the coin is it peremeter?
if it is then it is 36 pi
Area will be 18^2 pi which is 324 pi
The radius of a circle is 9.6 in. Find the circumference to the nearest tenth.
Answer:
19.2
Step-by-step explanation:
9.6*2=19.2
p + 1/4 (is less than or equal to) 2
Answer:
p ≥ 7/4
Step-by-step explanation:
“??.?.........what jsjsndjeisiis
Answer:
10 to the first power
Step-by-step explanation:
yea it should be
7r+4r+10s what is the answer
Answer:
11r + 10s
Step-by-step explanation:
Can y’all help me on question 20?!
Answer:
372 miles
Step-by-step explanation:
brainliest please