Answer:
15
Step-by-step explanation:
no
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. b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00 c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
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).
The equation below describes a linear function. y=−2(x+1)+4 The range of the function is {−4,−2,4} . What is the domain of the function
9514 1404 393
Answer:
{-1, 2, 3}
Step-by-step explanation:
We need to find the values of x that correspond to these y-values.
{-4, -2, 4} = -2(x +1) +4 . . . substitute the range values for y
{2, 1, -2} = x +1 -2 . . . . . . .divide by -2
{2, 1, -2} = x -1 . . . . . . . . . simplify
{3, 2, -1} = x . . . . . . . . . . . add 1
The domain of the function is {-1, 2, 3}.
Please help! I’ll mark brainliest
Answer: 19 ≥ 3z + 1 ≥ - 5
Please help! Will give brainliest!!!
How do you write intervals of increase and decrease?
Answer:
add one per interval
Step-by-step explanation:
an example would be:
+1
+2
+3
or:
+4
+8
+12
Answer:
As part of exploring how functions change, we can identify intervals over which the function is changing in specific ways. We say that a function is increasing on an interval if the function values increase as the input values increase within that interval. Similarly, a function is decreasing on an interval if the function values decrease as the input values increase over that interval. The average rate of change of an increasing function is positive, and the average rate of change of a decreasing function is negative.
The image below shows examples of increasing and decreasing intervals on a function.
HELP MEEEEE EASY DUE IN A MINSS
What is the prime factorization of 990?
Answer:
11 is one of the factors! The orange divisor(s) above are the prime factors of the number 990. If we put all of it together we have the factors 2 x 3 x 3 x 5 x 11 = 990.
Step-by-step explanation:
Answer:
2x2x3x5=11
Step-by-step explanation:
answer correctly pleasee
Answer:
Slope= 4
Step-by-step explanation:
When you start at (0, 0) and then go to (1, 4), then you have to use the slope.
So, to figure out the slope, you have to do rise over run, rise/run.
So, as shown in the graph, the rise is 4 because the rise is the y so to get from 0 to 4, you have to add 4.
And the run, which would be the x side is 1 because to get from 0 to 1. You add 1.
This shows us that the slope is 4/1 which could be simplified to just 4.
how many cups each holding 250ml can be filled from a 2 litre bottle of juice
Answer:
25 glasses
Step-by-step explanation:
Write in slope intercept form the equation of a line that has the slope of 1/3 and the y- intercept of 5.
Answer:
y = 1/3x + 5
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope
b is the y intercept
plug your number in
y = 1/3x + 5
What is the area, in square inches, of the shape below? Express your answer as a fraction in simplest form.
The area of the right-angle triangle will be 1/18 square inches.
What is the area of the right-angle triangle?The area of the right-angle triangle is given as,
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
The height of the right-angle triangle is 1/6 inch. And the base length of the right-angle triangle is 2/3 inches. Then the area of the right-angle triangle is given as,
A = (1/2) x (1/6) x (2/3)
A = 2 / 36
A = 1/18 square inches
The area of the right-angle triangle will be 1/18 square inches.
More about the area of the right-angle triangle link is given below.
https://brainly.com/question/16653962
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Alaina surveyed students on her bus about their homework.The results are shown in this two-way table. Student Homework Last Night Responses Had Homework 8 Did Not Have Homework 4 Alaina used this data to design a spinner with 6 congruent sections that predicts whether a randomly selected student had homework last night. How many sections of Alaina’s spinner represent students who did not have homework? 2 4 6 8
Answer:
2
Step-by-step explanation:
Answer: 2
I got it right on ed
Write a conjecture using this information.
Rectangles are parallelograms. The opposite sides of parallelograms are parallel.
Answer:
The opposite sides of the rectangle are parallel.
Step-by-step explanation:
If that is true for all parallelograms and a rectangle is a parallelogram, then it should be true for a rectangle too, I think.
Answer:
The opposite sides of the rectangle are parallel. (for both questions)
Step-by-step explanation:
Got it right on edg
8-7-6-5-4-3-2-1-0-1-2-3
Answer:
-4-5-6-7-8
Step-by-step explanation:
Answer:
The answer is -26
Which of the equations below could be the equation of this parabola? Vertex (0,0) A v=-4 B. Y = 42 C. X=-4x D. x = 4y2
Answer: y= -4x^2
Step-by-step explanation:
The equation of the parabolic function is y = -4x² and the graph is plotted
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be represented as f ( x )
Now , the value of f ( x ) = y
where y = -4x²
The equation y = -4x² represents a parabola that opens downwards (since the coefficient of x² is negative).
The vertex of this parabola is at the origin (0,0), since the coefficient of x is zero. The axis of symmetry is the y-axis, since the parabola is symmetric about this line.
Hence , the equation is y = -4x²
To learn more about parabola click :
https://brainly.com/question/24042022
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PLS HELP DUE SOON!!!!:(
Answer:
I don't know how to answer question 1, but the answer from question 2 is x=5
Step-by-step explanation:
The triangle shown is an isosceles triangle because it has two congruent sides. The base angles of isosceles triangles are congruent so ∠y=∠x. since the ∠x is 52 the ∠y is also 52. We subtract the measure of angles x and y in order to find the measure of the third angle. 180-(52+52) or 180-104 is 76. this means that 14x=6=76. All we have to do to get the answer now is solve. 76-6 is 70 and 70 divided by 14 is 5. x=5.
Find value of x. I will report if u put gibberish
Answer:
d:15
Step-by-step explanation:
since the angles are equal to each other, then the sides must be equal to each other too
so...
3x+5=4X-10
15=x
The length of a rectangle is three more than its width. If the perimeter is 46 feet, what are the dimensions of the rectangle?
O 10 by 7
0 43 by 3
O 12 by 11
O 13 by 10
Answer:
13 BY 10
Step-by-step explanation:
let width be z
length be z+3
perimeter=46
2(l+b)=46
z+z+3=23
2z=20
z=10
z+3=l=13
Mark has $18.00. What is the greatest number of days he can rent a bicycle? 2d=18 where d represents the number of days of the rental
Answer:
9
Step-by-step explanation:
9x2 is 18, so he can rent a bike for nine days if the rent is $2
2 Joey runs 4 – miles in of an hour and Chandler runs 2 miles miles in of an hour. Who runs faster
Answer: Joey is faster
Step-by-step explanation: Because in 1 hour Joey is run 4 mile but in 1 hour Chandler is run 2 mile
Answer: Joey is faster
Step-by-step explanation: Because in 1 hour Joey is run 4 mile but in 1 hour Chandler is run 2 mile
Mikayla asked 10 of her friends how many hours of TV they watch in a week. Three of her friends said 8 hours, two of her friends said 9 hours, two of her friends said 11 hours, one of her friends said 12 hours, and two of her friends said 14 hours. Mikayla wanted to make a dot plot of the data she gathered. In what order would she create the dot plot?
Draw a number line from 8 to 14. Show the frequency of each number. Title the dot plot.
Show the frequency of each number. Title the dot plot. Draw a number line from 8 to 14.
Title the dot plot. Show the frequency of each number. Draw a number line from 8 to 14.
Show the frequency of each number. Draw a number line from 8 to 14. Title the dot plot.
the person above me is right, it is a! good luck on your test <3
PLEASE RIGHT ANSWERS ONLY!!
I have a 94.66% in biology class, I am taking an exam that is worth 20% of my grade, there are 22 questions on the exam (each worth 4 points), what is the most amount of questions I can miss to still maintain an A in my class?
Answer
8
Step-by-step explanation:
algebra ll
For t=2 , 14t−3t is equal to ____? and 3t−14t is equal to ____?
Answer:
14t-3t=22
3t-14t= -22where there is t multiply by 2I NEED H E L P !!
...please
Answer:
[tex]6y^3z(8x^4yz^3-3)[/tex]
Step-by-step explanation:
Factor-[tex](-18y^3)(z)+48x^4y^4z^448x^4y^4z^4-18y^3z=6y^3z(8x^4yz^3-3)[/tex]
Tres compañías aportan capitales para hacer una investigación la estrella aporta 509000 724 flechabús la mitad de lo que aporta la estrella más 23184 y la terminal 104208 menos que lo que aporta flechabús cuánto aportan en total cada uno de los tres juntos
Answer:
En total, se invirtieron $960,000 por parte de las tres empresas.
Step-by-step explanation:
Para resolver cuánto dinero aportaron en total las tres empresas, es necesario determinar la cantidad de dinero que cada una de ellas aportó en forma particular. Así:
La Estrella: 509,000
Flechabus: (509,000 / 2) + 23,184
254,500 + 23,184
277,684
La Terminal: ((509,000 / 2) + 23,184) - 104,208
277,684 - 104,208
173,476
Ahora bien, para determinar el total invertido se requiere sumar dichos montos: 509,000 + 277,684 + 173,476 = 960,160
Así, en total, se invirtieron $960,000 por parte de las tres empresas.
What are two ways to start solving this equation? Choose BOTH ways.
Answer:
Step-by-step explanation:
use the distributive propriety to get 4c -12 = 8
divide both sides by 4 to get c-3 =2
solve the system of equations X-Y = -12 and -8x-4y=-12 by combining the equations
Answer:
x = -3
y = 9
Step-by-step explanation:
you can add the equations after multiplying the first one by 8
8x - 8y = -96 added to -8x - 4y = -96
'x' eliminated; -12y = -108; y = 9
Solve for 'x':
x - 9 = -12
x = -12 + 9
x = -3
Please help!! this is due today!!
Find the area of a square with sides equaling 7ft.
48 sq. ft.
14 sq. ft.
28 sq. ft.
49 sq. ft.
Option 5
he heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house? 72.5°F and 76.5°F 68.5°F and 76.5°F 70.5°F and 74.5°F 72.5°F and 74.5°F
Answer:
B. 68.5 & 76.5
Step-by-step explanation:
In order to solve this equation you first need to change your equasion to fit 2 scenarios. So, your 2 equations are x-72.5=4 and x-72.5=-4. From there, you need to solve by adding 72.5 to each equation giving you x=76.5 and x=68.5. 68.5 degrees F is your minimum temperature and 76.5 degrees F is your maximum temperature. I have included a screenshot of my handwritten work included below for those who are visual learners.
During the basketball season, Cory made 21 of the 60 baskets she attempted. Krista made 16 out of 40 baskets she attempted. Paul made 17 of the 50 baskets she attempted and Sally 11 of the 55 she attempted. Who had the greatest percentages of baskets made?
Given:
Cory made 21 of the 60 baskets she attempted.
Krista made 16 out of 40 baskets she attempted.
Paul made 17 of the 50 baskets she attempted.
Sally 11 of the 55 she attempted.
To find:
Who had the greatest percentages of baskets made?
Solution:
We know that,
[tex]\text{Percentage of baskets made}=\dfrac{\text{Baskets made}}{\text{Total attempts}}\times 100[/tex]
Using this formula, we get
[tex]\text{Cory's percentage of baskets made}=\dfrac{21}{60}\times 100=35\%[/tex]
[tex]\text{Krista's percentage of baskets made}=\dfrac{16}{40}\times 100=40\%[/tex]
[tex]\text{Paul's percentage of baskets made}=\dfrac{17}{50}\times 100=34\%[/tex]
[tex]\text{Sally's percentage of baskets made}=\dfrac{11}{55}\times 100=20\%[/tex]
From the above percentages 40% is maximum.
Therefore, Krista has greatest percentage of baskets made.
Is the relationship for Camille’s puppies weight in terms of linear or nonlinear