Answer:
a) 0.073044
b) 0.75033
c) The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).
Step-by-step explanation:
The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 .
a. Find the probability that an individual distance is greater than 218.00 cm.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 218
μ is the population mean = 205.5
σ is the population standard deviation = 8.6
For x > 218
z = 218 - 205.5/8.6
z = 1.45349
Probability value from Z-Table:
P(x<218) = 0.92696
P(x>218) = 1 - P(x<218) = 0.073044
b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00
When = random number of samples is given, we solve using this z score formula
z = (x-μ)/σ/√n
where
x is the raw score = 204
μ is the population mean = 205.5
σ is the population standard deviation = 8.6
n = 15
For x > 204
Hence
z = 204 - 205.5/8.6/√15
z = -0.67552
Probability value from Z-Table:
P(x<204) = 0.24967
P(x>204) = 1 - P(x<204) = 0.75033
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).
Tommy multiplied 0.24 by 100 to change it to what type of number?
A) percent
B) decimal
C) fraction
D) benchmark percent
Is (-1, -9) a solution to the equation y 9x?
Answer:
Yes if the equation is Y= 9X
Step-by-step explanation:
-9= 9×-1 ---} -9 = -9
y=2x−1
5x−4y=1
Is (1,1) a solution of system
A.Yes
B.No
microzooplankton is _____ compared to macrozooplankton
a) smaller
b) bigger
c) faster
d) brighter in color
btw yes i put it on math because i feel like more people do math more
a ) smaller is correct answer
How many solutions does 7x -10 = 7(x+3)
Answer: The answer to this question is that there is no solution to that problem
Step-by-step explanation:
please solve due soon
Answer:
5
Step-by-step explanation:
5+5(0)
How can i prove this? Please someone help i get 100points
Typing.................
Answer:
I can look it up, what's this calle?
Step-by-step explanation:
. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it
take him to fill the bottle?
Answer:
It will take him
[tex] \frac{1}{2} [/tex]
of a minute to fill the bottle.
Step-by-step explanation:
I'm really not sure this is right but..
we can solve using proportions. Cross-multiply and divide.
[tex]\frac{ \frac{1}{3} of \: a \: water \: bottle}{\frac{1}{6} minute} \: = \frac{ \frac{3}{3} of \: a \: water \: bottle}{x} \\ \\ \frac{ \frac{1}{6} }{ \frac{1}{3} } = \frac{ \frac{1}{3} x}{ \frac{1}{3} } \\ \\ \frac{1}{2} = x[/tex]
Consider these functions:
f(x)=3x - 7
g(t)=1+1
What is the value of f(g(3))?
A.-1
B.0
C.3
D. 5
Answer:
A(-1)
Step-by-step explanation:
First, we will replace any x in g(x) with 3
g(x)=(3+1)/(3-1)=4/2=2
Thwn replace any x in f(x) with 2
f(x)=3(2)-7=6-7=-1 ⇒A
hope this helps
15 POINTS PLEASE HELP!
Answer:
buddy...u weren't able to attach it properly...
Step-by-step explanation:
u may type it out in the comments...
What is the exact solution to the equation 4^5x=3^(x-2)
list the steps to get the answer
Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
Jada has 60% of her goal of $70 saved for her trip.
If 10% x 6 = 60%, how much money does Jada have saved?
Answer:
60% of $70 is $42, so i think its $42
Answer:
Jada has saved $36
Step-by-step explanation:
60% of $60 is the question
0.6 × $60 is $36
Camilla and Anne work as interior decorators in the city. Camilla can decorate a home in 5 days while Anne can
complete a home in 4 days. Working together, how long will it take them to decorate 2 homes?
Answer:
It will take them 4.44 days to decorate 2 homes.
Step-by-step explanation:
Given that:
Camilla can decorate a home in 5 days
Anne can complete a home in 4 days
Let,
x be the time taken by Camilla and Anne to decorate 1 home.
[tex]\frac{1}{Camilla's time}+\frac{1}{Anne's\ time} = \frac{1}{total\ time}\\[/tex]
[tex]\frac{1}{5}+\frac{1}{4}=\frac{1}{x}[/tex]
Taking LCM;
[tex]\frac{4+5}{20}=\frac{1}{x}\\\\\frac{9}{20}=\frac{1}{x}\\x=\frac{20}{9}[/tex]
Time taken by Camilla and Anne to decorate 2 homes = [tex]\frac{20}{9}*2=\frac{40}{9}[/tex]
Time taken to decorate Camilla and Anne 2 homes = 4.44 days
Hence,
It will take them 4.44 days to decorate 2 homes.
Maggie and three friends are going to the movies. It cost them ten dollars for their tickets and
snacks cost three dollars each. In interval form, how many snacks can they buy if they brought
thirty-five dollars?
Answer:
8 Snacks
Step-by-step explanation: First subtract 35 by 10 because u need to subtract the cost of the tickets. Thenyou get an answer of 25 so u divide 25 by 3 and u get 8 remainder 1 so u can only buy 8 snacks. I believe this is right sorry if it isn't.
how can we use a number line to help calculate elapsed time
Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube is 6s², where s is the length of one side.
Find the total surface area that Abby will paint.
1. Find the surface area of cube 1. Show your work, and include units with your answer.
2. Find the surface area of cube 2. Show your work, and include units with your answer.
3. What is the total area Abby will paint?
Answer:1: 56. 3 squared is 9, times 6 is 56.2: 24. 2 squared is 4, times 6 is 24.3: 80. 56+24=80
Step-by-step explanation:
1. The surface area of cube 1 is 54 sq ft, the surface area of cube 2 is 24 sq ft, the total area Abby will paint is 78 sq ft
What is a cube?A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.
We are given that Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube = 6s², where s is the length of one side.
1. Each side of cube 1 is
3 feet x 3 feet, = 9
so, each side has an area of 9 square feet.
Then Multiply by 6 sides and the area
6 x 9 = 54
that is 54 square feet.
2. Each side is 2 feet x 2 feet = 4
so, the area of one side is 4 square feet.
Then Multiply by 6 sides and the area
6 x 4 = 24
That is 24 square feet.
3. the total area = 54 + 24 = 78 square feet
Learn more about cubes;
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all my points! PLZ help me on this and explain ur answer plzz
Y+4=2(x+3) In slope-intercept form
Also can I please have Brainliest?
Only if I'm correct of course.
Your welcome, Loves!
What is the point-slope form of an equation passing through (0, -5) with a 5 points
slope of 2? *
Answer:
y=2x-5
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2
[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2
[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of
[tex]y=2x-5[/tex]
*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5
giving you y=2x-5
the sum of the measurement of the angles of a triangle equals 180 degrees what is the measure of the missing angle.
Answer:
108.9
Step-by-step explanation:
180-(30.3+40.8)
180-71.1
108.9
Tell whether the following equation represents or not represents a linear function. 20x + 4y = 8 The equation represents a linear function.
Answer:
— 20x + 4y = 8 The equation represents a linear function.. Add answer+5 pts.
Step-by-step explanation:
Solve the equation 2 + 4.7 = -9.3.
Answer: positive then greater than
Step-by-step explanation:
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 3) and (6, 11). A small triangle has a rise of 4 and run of 3. What is the equation of the line? y = 3 x + 3 y = three-fourths x + 3 y = four-thirds x + 3 y = 4 x + 3
Answer:
i think that the answer is the first equation
Step-by-step explanation:
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
Option C is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of the line passing through the points (0, 3) and (6, 11).
We can use the slope-intercept form of a linear equation,
which is y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we can find the slope of the line by using the formula:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
where
[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]
So,
m = (11 - 3) / (6 - 0) = 8/6 = 4/3
The slope of the line is 4/3.
Next,
We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:
[tex]y - y_1 = m(x - x_1)[/tex]
Choosing the point (0, 3), we get:
y - 3 = (4/3)(x - 0)
Simplifying and solving for y, we get:
y = (4/3)x + 3
Therefore,
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
Learn more about equation of a line here:
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Johnny's Towing Company charges a one-time towing fee of $50, plus $20 per day
that they keep each car.
If Johnny changes his one-time towing fee to $75, describe how the graph of his
function would change.
16(x+3)=4(x+9)
solve for x
⭐ Respuesta :
Ecuación : 16 (x + 3) = 4 (x + 9)⭐ Resolvemos :
[tex]16(x+3)=4(x+9)\\16x+48=4x+36\\16x-4x=36-48\\12x=-12\\x=-12/12\\\\\boxed{x=-1}[/tex]
⭐ Explicación paso a paso :
16 (x + 3) = 4 (x + 9)
Multiplicamos los paréntesis "16(x+3)" y "4(x+9)"16x + 48 = 4x + 36
Términos semejantes ...16x - 4x = 36 - 48
Restamos respectivamente ...12x = -12
El número 12 multiplicando a "x" pasa a dividir...x = -12 ÷ 12
Dividimos y ya tenemos el resultado!! ^-^ x = -1❤ Ver mas ejemplos : brainly.lat/tarea/29507142 ❤
i have to find the area of the shaded region. please helppp!!!!! xksnkskzks
Answer:
9.53 cm2
Step-by-step explanation:
hope it helps
Here is the solution:
Describe the end behavior of the polynomial function.
How do I do this?
.
.
Answer:
the answer is 4 i believe
Step-by-step explanation:
How many triangles in a 15 sides polygon ?
there are 40 boys and 20 girls at the party 35% from boys wearing glasses and 60% girls wearing how many people wearing glasses glasses
Answer:
12 g 14 b
Step-by-step explanation:
.