Answer:
a) P(X > 207.50) = 0.0808
b) P(X-bar > 193.5) = 0.7734
c) It matters only in sampling distribution when we does not know the shape of distribution.
Step-by-step explanation:
Given - The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm.
To find - a. Find the probability that an individual distance is greater than 207.50 cm.
b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30 ?
Proof -
Given that,
μ = 195 cm
σ = 8.9 cm
a)
P(X > 207.50) = 1 - P(X < 207.5)
= 1 - P(Z < [tex]\frac{207.5 - 195}{8.9}[/tex] )
= 1 - P(Z < 1.4)
= 1 - 0.9192
= 0.0808
⇒P(X > 207.50) = 0.0808
b)
n = 20
μₓ- = μ = 195
σₓ⁻ = [tex]\frac{\sigma}{\sqrt{n} }[/tex] = [tex]\frac{8.9}{\sqrt{20} }[/tex] = 1.99
Now,
P(X-bar > 193.5) = 1 - P(X-bar < 193.5)
= 1 - P(Z < [tex]\frac{193.5 - 195}{1.99}[/tex] )
= 1 - P(Z < -0.75)
= 1 - 0.2266
= 0.7734
⇒P(X-bar > 193.5) = 0.7734
c)
Given that If the population is normally distributed , then the sample does not have to be greater than 30.
It matters only in sampling distribution when we does not know the shape of distribution.
The third and fourth grade teachers are planning a trip for their classes to the zoo. There are 173 third graders and 124 fourth graders. Each seat on the buses fits 3 students. Which expression represents the closest estimate of the number of seats on the buses that are needed for the students?
Answer:
173 - 124 = then do thatb divided by each seat 2
Step-by-step explanation:
I require assistance of this baffling mathematical equation that exceeds my limits
Answer:
C.
Step-by-step explanation:
To multiply two polynomials, multiply every term of one polynomial by every term of the other polynomial. Then collect like terms.
Multiply p^2 by each term of the second polynomial. Then multiply q^2 by each term o the second polynomial.
[tex] (p^2 + q^2)(p^4 - pq - q^4) = [/tex]
[tex] = p^6 - p^3q - p^2q^4 + p^4q^2 - pq^3 - q^6}
There are no like terms to collect, but we can arrange the product in descending order of the power of q.
[tex] = p^6 + p^4q^2 - p^3q - p^2q^4 - pq^3 - q^6 [/tex]
Answer: C.
Branliest to correct answer please explain how you got your answer :)
Answer:
2.12%
Step-by-step explanation: So in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52, but this 3 decks, so you pretty much just add
Answer:
1.56%
Step-by-step explanation:
there 52 cards in a deck and 13 of those are hearts. 13/52*13/52*13/52 That equals 2,197/140,608. Then divide both by 2,197 and you get 1/64. Turn it into a percent and it's 1.56%
13/52 is also 25% so you could do 25% * 25% * 25% and you get .015625 and move the decimal two places to turn it into a percent 01.5625%
Caleb got $60 for his birthday and put it in his savings account. After he deposited the money, he has $139. How much money was in Caleb's account before the deposited the money?
Part A: Write an equation to represent the problem.
Part B: Solve to find the solution. Show your work and/or explain your reasoning.
a^2 - 2ab^2 if a = 9 and b = 3
Please answer quick and just write explanation quick pls hurry quick for brainlessly uu
Answer:
35 (C)
Step-by-step explanation:
Answer:
B) 30
Step-by-step explanation:
This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.
Write six hundred fifty six as a base ten number
Answer:
isn't 656 already a base-ten number?
Step-by-step explanation:
i'm confused (。_。)
Find the missing information for both parts below.
(a) In the figure below, m VW = 52° and m XY = 42º. Find m ZXZY.
V
m ZXZY =
Z
Answer:
86
Step-by-step explanation:
Answer: 86
Step-by-step explanation:
A fair charges $8 to enter and $0.50 per ticket. Write an algebraic expression to represent
the total amount spent.
A fair spinner has 10 equal sections: 4 red, 3 blue and 3 green.
It is spun twice.
What is the probability of getting the same colour twice?
Answer:
4 divided by 10 is 40% 3 divided by 10 is 30 percent
Step-by-step explanation:
for red there would be 40 percent probability and green and blue both have 30% probability.
Solve for x
This is also an octagon if it helps!
Answer:
x = 10
Step-by-step explanation:
it has 8 sides so:
total interior angle degrees = (180° x 8 sides) - 360° = 1080°
11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°
combine like terms:
32x + 760° = 1080°
subtract 760° from both sides of the equation:
32x = 320°
divide both sides by 32:
x = 10
a spiner has 5 equal sized sections with different colors. you spin the spinner 50 times what is th theoretical and experimental probability of spinning blue
Answer:
10%
Step-by-step explanation:
you would do 50/5 because all the sections are even so you would get 10%.
6+(1/3×1/3)-3×7 how do you get it???
Answer:
-134/9
Step-by-step explanation:
Given 2x⁵-6x³-4x²-2x+4 =0 solve for x
Answer:
Step-by-step explanation:
-3m -4>8
How do I solve this equation?
Answer:
m < -4
Step-by-step explanation:
-3m - 4 > 8
add four to each side
-3m > 12
divide each side by -3 (since you are dividing by a negative the sign changes from > to <)
m < -4
Answer:
m<-4
Step-by-step explanation:
1. -3m-4>8
2. -3m>12 (add four to both sides)
3. m<-4 (divide by -3 on both sides, since you are dividing by a negative number your sign flips)
Can someone help please please
Answer: A: (6, 5)
Step-by-step explanation:
When graphing a system of equations, you can find the solution by finding where the graphs intersect. In this case, the graphs intersect at (6, 5).
To verify that this is indeed a solution to the system of equations, we can substitute (6, 5) into both of the given equations:
[tex]y = \frac{1}{2}x + 2[/tex]
[tex]5 = \frac{1}{2} * 6 + 2[/tex]
[tex]5 = 3 + 2[/tex]
[tex]5 = 5[/tex]
[tex]y = x - 1[/tex]
[tex]5 = 6 - 1[/tex]
[tex]5 = 5[/tex]
Since both equations hold true when plugging in the given coordinate (6, 5), we know that this is a solution to the system of equations.
Parallelogram ABCD is shown on the coordinate grid. Which
coordinates belong to a point that appears to lie on segment AB?
Answer:
[tex](-1, 3)[/tex]
Step-by-step explanation:
Given
See attachment for ABCD
Options:
[tex](-1, 3)\ \ \ (0,3)\ \ \ (1,5)\ \ \ (2,5)[/tex]
From the attachment:
[tex]A = (-6,1)[/tex]
[tex]B = (4,5)[/tex]
Required
Coordinates on AB
First, calculate the slope of AB
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5-1}{4--6}[/tex]
[tex]m = \frac{4}{10}[/tex]
[tex]m = 0.4[/tex]
Next,, calculate the equation as:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0.4(x - -6) + 1[/tex]
[tex]y = 0.4(x +6) + 1[/tex]
[tex]y = 0.4x +2.4 + 1[/tex]
[tex]y = 0.4x +3.4[/tex]
Taking the options one at a time: (-1, 3)
[tex]x = -1\ \ y =3[/tex]
Test these values in the equation
[tex]y = 0.4 * -1 + 3.4[/tex]
[tex]y = -0.4 + 3.4[/tex]
[tex]y =3[/tex]
Hence, this point lie on AB
What is the solution to the equation x/3 +5=8
Answer:
x=9
Step-by-step explanation:
x/3+5=8
x/3=8-5
x/3=3
(x/3)*3=3*3
x=9
double check
9/3+5=8
3+5=8
8=8
Answer:
x=9
Step-by-step explanation:
[tex]\frac{x}{3}+5=8\\[/tex]
[tex]\frac{x}{3}=3[/tex] subtract 3 from each side
[tex]x=9[/tex] multiply each side by 3
thats it!! :D
what is the percent increase
from 3.49 to 3.89
Two cabs leave the cab station. Cab A completes its route in 36 minutes and Cab B completes its route in 45 minutes. If both cabs return to the station after their routes, how many minutes will pass before the two cabs meet at the station?
Answer:
81 min I think
Step-by-step explanation:
What is the recursive formula for this sequence:
1,-1,-3, -5......
Answer:
d) A[n] = A[n=1] - 2 (Your selected answer is correct)
Step-by-step explanation:
Think of the formula as:
new number = previous number minus 2
PLEASE HELP I GIVE BRAINLIEST
Answer: 777654
Step-by-step explanation:
lol
can u please help me
A store baked 1,344 bagels and placed them into bags to sell. Each bag contained 6 bagels.How many bags of bagels were made? Explain the strategy you used to solve this problem.
A family is booking a trip to Florida and the travel agent knows that for families with children of similar ages the probability of visiting Busch Gardens is 40% and the probability of visiting Sea World given that they visited Busch Gardens is 60%; also the agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%. To determine the best package for this family, the agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Answer:
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Visited Busch Gardens.
Event B: Visited Sea World.
The probability of visiting Busch Gardens is 40%
This means that [tex]P(A) = 0.4[/tex]
The probability of visiting Sea World given that they visited Busch Gardens is 60%
60% of 40%, which means that:
[tex]P(A \cap B) = 0.6*0.4 = 0.24[/tex]
The agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%.
This means that [tex]P(A \cup B) = 0.7[/tex]
Te agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
This is P(B).
These probabilities are related by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Replacing the values
[tex]0.7 = 0.4 + P(B) - 0.24[/tex]
[tex]0.16 + P(B) = 0.7[/tex]
[tex]P(B) = 0.54[/tex]
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Hi please help me.. will give brainlest
Answer:
Volume = l*w*h
Equation: 1620 = 9*9*h
1620=81h
h=20 cm
If you rearrange the side lengths of a triangle, how many different triangles can you make?
Answer:
3
Step-by-step explanation:
ABC
Acb
Bac
Bca
Cab
Cba
This looks like 6 but if you look close, 3 are duplicates
Please give me an right answer and explain pleaseeee!!! And set up and equation before solving !
The difference between two numbers is 4. The sum of the smaller number and three times the larger number is 36. What are the two numbers?
Answer:
The two numbers are 6 and 10.
Step-by-step explanation:
First, you have to form equations. With the given informations, let x be the larger number and y be the smaller number, the equations will be :
x - y = 4
3x + y = 36
Next, you have to solve the simultaneous equations :
x - y = 4 ---------- (1)
3x + y = 36 ------- (2)
(2) + (1)
3x + y + x - y = 36 + 4
4x = 40
x = 10
Substitute x = 10 into (2)
3(10) + y = 36
30 + y = 36
y = 36 - 30
y = 6
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
(9³×m)3
Step-by-step explanation:
Hope it helps you
HURRY!!!!
What is the volume, in cubic inches, of the right rectangular prism with a length of 5 inches, a width of 8 inches, and a height of 20 inches
Answer:
800 cubic inches
Step-by-step explanation:
We will use the formula= V=lwh or Volume= length times width times height
so, Volume=5inches times 8 inches times 20 inches
so, volume= 5 times 8 times 20
=40 times 20
=800 cubic inches
Please mark me as a brainliestAnswer:
800
Step-by-step explanation: