Answer:
22222222222222222by5y-step explanation:
You randomly sample 8 graduate students from an NYU event. 5 of the 8 exhibit higher IQ’s than the median of the general population. The probability of obtaining this result by chance (if those graduate students do not differ in IQ from the general population) is
Answer:
The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875
Step-by-step explanation:
The given parameters are;
The number of students in the sample, n = 8
The number of the students, x, that exhibit higher IQ's than the median = 5
The probability of obtaining the given result by chance is given as follows;
P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ
The probability that a student exhibit higher IQ's than the median = 0.5 = p
Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q
Substituting the known values, gives;
P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875
Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.
. What is 7/10 as a percent?
Answer:
70%
Step-by-step explanation:
5/10. 50%
6/10. 60%
7/10. 70%8/10. 80%
9/10. 90%
Answer:
70%
Step-by-step explanation:
I need help with this question in Geometry.
Answer:
846 in
Step-by-step explanation:
48*15+21*6
720+126=846
Answer:
846 square inches.
Step-by-step explanation:
All you have to do is find the area of the net for the seat back.
Bottom and Top
L = 21 + 3 + 21 + 3 = 48
W = 15
Area
Area = L * w
Area = 48 * 15
Area = 720
Area of the 2 sides .
L = 21
w = 3
Area =2 * L * w There are 2 of them
Area = 21*3 * 2 126
Total 846
In the first week of June, a restaurant sold 10,345 omelets. In the second week, 1,096 fewer omelets were sold than in the first week. In the third week, 2 thousand more omelets were sold than in the first week. In the fourth week, 2 thousand fewer omelets were sold than in the first week. How many omelets were sold in all in June? *
Answer:
40, 284 omelets
Step-by-step explanation:
Given that:
In the first week of June = 10345 omelets were sold
In the second week = 1096 fewer omelets are sold than in week one
i.e. 10345 - 1096 = 9249 omelets
In the third week = 2000 more were sold than week one.
i.e. 2000 + 10345 = 12345 omelets
In the fourth week = 2000 fewer omelets were sold than week one.
i.e. 10345 - 2000 = 8345 omelets
Thus, the total quantity of Omelet sold in the month of June is:
= (10345 + 9249 + 12345 + 8345) omelets
= 40, 284 omelets
What is the slope of the following equation? 8x+3y=9
Answer:
The answer is -8/3.
Step-by-step explanation:
First, you have to make y the subject :
8x + 3y = 9
3y = -8x + 9
y = (-8/3)x + 3
In a linear equation, y = mx + b, m represent gradient (slope). So in this equation the slope is -8/3.
10. A tanning salon charges a one-time maintenance fee of $12 plus $4 for each tanning visit. Find a reasonable domain and range for the function for up to 6 visits.
It's timed plzzz help!!!
Answer:
Last Choice / D
Step-by-step explanation:
you want to isolate v!
E = 1/2 m v^2
multiply both sides by 2
2E = mv^2
divide both sides by m
2E/m = v^2
square root both sides
v = ±[tex]\sqrt{2E/m}[/tex]
please click heart to give thanks :)
Answer:
[tex]D.v= \± \sqrt{\frac{2E}{m}}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Kinetic\ Energy\ possessed\ by\ an\ object=\frac{1}{2}mv^2\\Hence,\\E_k=\frac{1}{2}mv^2\\2E=2*\frac{1}{2}mv^2 [Multiplying\ both\ the\ sides\ with\ 2]\\2E=mv^2\\\frac{2E}{m}=\frac{mv^2}{m}[Dividing\ both\ the\ sides\ by\ m]\\\frac{2E}{m}=v^2\\Now,\\As\ v\ could\ be\ positive\ or\ negative\ but\ its\ square(v^2)\ would\ always\ be\ positive.\\[/tex]
[tex](\± v)^2= v^2\\Hence,\\\frac{2E}{m}= (\±v)^2 \\\sqrt{\frac{2E}{m}} = \±v\\Or,\\ v= \± \sqrt{\frac{2E}{m}}[/tex]
Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.
Answer:
Step-by-step explanation:
Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.
A bag of rice weighs 20 kg more than one of sugar. If 50 kg of sugar is added to the second bag, its weight becomes twice that of the bag of rice. Find the weight of the bag of rice
please help asap because this was due a month ago
Answer:
D
Step-by-step explanation:
use a calculator next time
The coordinates of points A and B are A (7, -2) and B (47, 68). Which are the coordinates of a point that partitions segment AB in a ratio of 1:4?
Step-by-step explanation:
The coordinates of the point is (15, 12).
Point dividing the line segment AB in the ratio of 1 : 4 will have the coordinates as (15, 12)
Coordinates of a point dividing a segment in two parts: If a point (h, k) divides a segment having extreme ends (x₁, y₁) and (x₂, y₂) in the ratio of m : n, coordinates of the point will be,
[tex]h=\frac{mx_2+nx_1}{m+n}[/tex], [tex]k=\frac{my_2+ny_1}{m+n}[/tex]
If a segment having extreme ends A(7, -2) and B(47, 68) is divided by a point P(h, k) in the ratio of 1 : 4
h = [tex]\frac{1(47)+4(7)}{1+4}[/tex]
h = 15
k = [tex]\frac{1(68)+4(-2)}{1+4}[/tex]
k = 12
Therefore, coordinates of the point dividing the segment AB in the ratio of 1 : 4 will be (15, 12).
Learn more about the ratios of a directed line segment here,
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y+1=5(x−9) is it linear or non-linear?
Answer:
yes its linear
Step-by-step explanation:
A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?
_% of the total muffins were blueberry
Answer:
32%
Step-by-step explanation:
A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has a length of 12 feet. What is the perimeter of the larger rectangle?
Answer: 33.6 feet
Step-by-step explanation:
Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.
A larger, similar rectangle has a length of 12 feet. The width will be:
= 12 / 2.5
= 4.8 feet
The perimeter of the larger rectangle will then be:
= 2(Length + Width)
= 2(12 + 4.8)
= 2 × 16.8
= 33.6 feet
| 5t-1 |=6
Show all work
Answer:
t = 1.4
Step-by-step explanation:
If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.
The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.
Answer: t=1
Step-by-step explanation:
|5t-1 |=6
5t+1=6
5t=5
t=1
11. In the diagrams below the rows of green tiles are surrounded by white tiles
Find a formula for the number of white tiles which would be needed to
surround a row of n green tiles.
Hii please help!!! Show work
Step-by-step explanation:
There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.
Common difference = (16-12)/(5-3) = 2.
Hence number of white tiles = 2n + 6.
Will give the brainliest to the person who answers the question first and correctly!!
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?
Round to the nearest tenth.
A. 4.1
B. 20.5
C. 16.4
D. 4.5
Answer:
D. 4.5
Step-by-step explanation:
can anyone help and explain how you got the answer
Answer:
70
Step-by-step explanation:
Because PQ tangent to circle, angle P is 90
angle S = 180 - 90 - 20 = 70
whats 1+1 ? please help my teacher isnt going to give me candy if i dont answer this :(
Answer:
2
Step-by-step explanation:
......... lol
you can have candy
Answer:
2
Step-by-step explanation:
1+1= 2that is an example
get that candy
Select all of the following that are quadratic equations.
1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7
Answer:
1. x² + 3x - 5 = 0
2. x² - x = 3 x + 7
4. 7x² + 14x = 0
Step-by-step explanation:
A Quadratic equation takes the form;
ax² + bx + c = 0
a, b, c are constants and a cannot be 0.
Options 1 fits this;
x² + 3x - 5 = 0
Option 2 fits this as well;
x² - x = 3 x + 7
x² -x - 3x - 7 = 0
x² - 4x - 7 = 0
Option 4 fits this as well if c = 0.
7x² + 14x + 0 = 0
Which rectangular equation is formed by eliminating the parameter?
y = t^3
x = t + 5
Given :
Two equations :
y = t³
x = t + 5
To Find :
Rectangular equation formed by eliminating the parameter.
Solution :
Putting value of t from second equation to first equation.
We get :
[tex]y = ( x-5)^3[/tex]
Also, t from equation first :
[tex]t = \sqrt[3]{y}[/tex]
Putting the value of t and equation two, we get :
[tex]x = \sqrt[3]{y}+5[/tex]
Therefore, rectangular equation is formed by eliminating the parameter is :
y = ( x - 5)³ and x = ∛y + 5 .
The rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
The options are:
y = (x + 5)³x = (y + 5)³y = (x - 5)³y = (x - 5)²It is given that:The parametric equations are:
y = t³
x = t + 5
From the second equation that is x = t + 5
Take the value of t and plug in the equation y = t³:
t = x - 5
y = (x - 5)³
The above equation represents a cubic equation.
Thus, the rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.
Learn more about the parametric function here:
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find the slope and the y-intercept of the line.
Answer:
Slope m = 6
y-intercept b = -5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Slope-Intercept Form] y = 6x - 5
Step 2: Break Function
Identify Parts
Slope m = 6
y-intercept b = -5
Answer:
[tex]slope:6\\y-intercept:-5[/tex]
Step-by-step explanation:
Given the line:
[tex]y=6x-5[/tex]
We can first refresh our memory with slope-intercept form:
[tex]y=mx+b[/tex]
In slope-intercept form:
[tex]m=slope\\b=y-intercept[/tex]
With that information, using the given equation for the line, we can conclude that:
[tex]m=6[/tex]
[tex]b=-5[/tex]
Factor an 8 from the expression: 32 + 40b
Find the midpoint between 5-2i and 7+6i
Answer:
6+2i
Step-by-step explanation:
(5+7)/2 = 6
(-2+6)/2 = 2
tell me the answer on this one to lazy to do it
Answer:
Step-by-step explanation:
New point would be (-8, 1) so the answer is none of the other answers are correct.
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.
1. The slope of f(x) is smaller than the slope of g(x)
2. The lines represented by f(x) and g(x) are parallel.
3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).
4. The y-intercept of f(x) is smaller than the y-intercept of g(x).
5. The values of f(x) and g(x) are the same at x = 3
Answer:
4. 5. 3. are correct im pretty sure
Step-by-step explanation:
Statements 1, 2, and 3 about f(x) and g(x) are "true".
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.
x : 1 3 5 7 9
g(x): 3 7 11 15 19
Here the slope of the function g(x) is 2.
This means statements 1 and 2 are false because slopes are different.
To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.
Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.
The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.
To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.
Therefore, the true statements are 2, 3, and 4.
Learn more about the functions here:
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What is f(−1) for the function given? f(x)=x2−3x+8
Answer:
12
Step-by-step explanation:
I am assuming you are asking for f(x)=x^2-3x+8? You plug (-1) in for all portions of x. This means you get (-1)^2-3(-1)+8. (-1)^2 is simply 1 because -1 x -1=1. 3*-1 is -3. This makes the equation 1 - (-3) + 8. The middle section simplifies down to +3 making it 1+3+8, or 12.
Can you please help me!? Explain and show work, please!
Answer:
no solution
Step-by-step explanation:
What is the slope of the line passing through the point 2 comma negative 1 and the origin?
Answer:
- 1/2 or - 1.5
Step-by-step explanation:
I would suggest using a table
x y
2 -1
0 0
from -1 to 0, you add 1
from 2 to 0, u subtract 2
so y/x
1/-2
Your slope will be -1/2 or -1.5
Hope this helped!
Answer:
-1/2
Step-by-step explanation:
PLEASE HELP!!! The population of a town was 780 in 1970. The population has been growing at a rate of 26% each year. What is the population of the town in the year 1995? Round your answer to the nearest whole number.