Answer:
[tex]a{x}^{2} + bx + c = 0[/tex]
Step-by-step explanation:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
Examples of quadratic equations include all of these:[tex]y = {x}^{2} + 3x + 1[/tex]
Hope it is helpful......A news article estimated that only 5% of those age 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05. A random sample of n = 100 people will be selected from this population and p, the proportion of people who prefer to watch online, will be calculated.
(a) What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.)
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
i. The sampling distribution of p is approximately normal because np is less than 10.
ii. The sampling distribution of p is approximately normal because np is at least 10.
iii. The sampling distribution of p is not approximately normal because np is less than 10
iv. The sampling distribution of p is not approximately normal because np is at least 10
v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
Answer:
a) The mean is 0.05 and the standard deviation is 0.0218.
b) v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].
If [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the sampling distribution of the sample proportion p will be approximately normal.
Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05.
This means that [tex]p = 0.05[/tex]
A random sample of n = 100 people
So [tex]n = 100[/tex]
(a) What are the mean and standard deviation of the sampling distribution of p?
Mean [tex]\mu = p = 0.05[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{100}} = 0.0218[/tex]
The mean is 0.05 and the standard deviation is 0.0218.
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
[tex]np = 100*0.95 = 95 > 10[/tex]
[tex]n(1-p) = 100*0.05 = 5 < 10[/tex]
As n(1-p) < 10, it is not approximately normal, option v.
What is the width of a rectangular prism with a length of 13 feet, volume of 11,232 cubic feet, and height of 36 feet?
Answer:
24
Step-by-step explanation:
The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these. None, Positive, or Negative thanks so much.
1. No correlation
Those things don't really relate to each other.
2. Positive correlation
The higher the amount you drive your car, the more you'll have to pay for gas.
3. Negative correlation
More people = less soda.
Write an equation of the line that passes through a pair of points:
(negative 5, negative 2), (4, 5)
a.
y = StartFraction 7 Over 9 EndFractionx – StartFraction 17 Over 9 EndFraction
c.
y = StartFraction 7 Over 9 EndFractionx + StartFraction 17 Over 9 EndFraction
b.
y = StartFraction 7 Over 9 EndFractionx – StartFraction 9 Over 17 EndFraction
d.
y = Negative StartFraction 7 Over 9 EndFractionx + StartFraction 17 Over 9 EndFraction
Answer:
c.
y = StartFraction 7 Over 9 EndFractionx + StartFraction 17 Over 9 EndFraction
Step-by-step explanation:
Give another real object for the following solid figures. Write your answer in the blank
provided
1. Sphere -
2. Cube -
3. Cylinder -
4. Rectangular Prism -
5. Triangular Prism -
matinong sagot po rereport ko ung di matinong sagot
Answer:
1 bowling ball
2 box
3 can
4 book
5 pyramid
Natalie has 2 number pyramids each labeled 1 to 4. Natalie is going to conduct an experiment by tossing both pyramids a total of 96 times. She will find the difference of each pair of numbers rolled by subtracting the lesser number from the greater number. How many times should Natalie toss a difference of 0?
Answer:25
Step-by-step explanation:
Mr. Williams trains a group of student athletes. He wants to know how they are improving in the number of push-ups they can do.
These dot plots show the number of push-ups each student was able to do last month and this month.
How much did the mean number of push-ups increase from last month to this month?
Question 1 options:
2.75 more push-ups
4.375 more push-ups
7.5 more push-ups
There is not enough information given to answer the question.
Answer:
7.5 more push-ups
Step-by-step explanation:
From the dot plot attached :
Last month mean :
Σfx/Σf
Σfx = [(10*2)+(15*2)+(25*3)+(35*1)] = 160
Σf = (2 + 2 + 3 + 1) = 8
Mean = 160 / 8 = 20
This month mean :
Σfx/Σf
Σfx = [(10*1)+(15*1)+(25*1)+(30*3)+(40*2)] = 220
Σf = (1 + 1 + 1 + 3 + 2) = 8
Mean = 220/8
Mean = 27.5
Difference in mean :
This month mean - Last month mean
27.5 - 20
= 7.5
BODMAS QUESTIONS
10-4×0+3÷3
Answer: 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
What is the value of x???
Answer:
22.5
Step-by-step explanation:
22.5 x 3 = 67.5
67.5 + 22.5 = 90
Given the function f(x) = 4x3 + 13x, what is the gradient of the function when x = 2 ?
Answer:
y=45x+115
Step-by-step explanation:
We can find the slope of a line tangent to a curve at a point by evaluating the derivative of the function at that point.
We are given the function
f ( x ) = 4 x 3 + 12 x 2 + 9 x + 7
= f ( x ) = 4 x 3 + 12 x 2 + 9 x 1 + 7 x 0
Using the power rule, let's now compute the derivative of f( x )
f ' ( x ) = ( 3 ⋅ 4 x 2 ) + ( 2 ⋅ 12 x ) + ( 1 ⋅ 9 x 0 ) + 0 ⋅ 7 x − 1
f ' ( x ) = 12 x 2 + 24 x + 9
We can now find the slope of f ( x ) at x = − 3 by substituting this value into f ' ( x )
f ' ( − 3 ) = 12 ( − 3 ) 2 + 24 ( − 3 ) + 9
f'(-3)=12(9)+24(-3)+9
f'(-3)=108-72+9
f'(-3)=45(slope of the tangent line at x = − 3
Now that we have a slope for the tangent line, we need to identify a point on the line.
We know the tangent line touches the function f ( x ) at the point x = − 3 , so let's find the value of f ( x ) at this point:
f(-3)=4(-3)3+12(-3)2+9(-3)+7
f(-3)=4(-27)+12(9)+9(-3)+7
f(-3)=108+108-27+7
f'(-3)=-20
So we know the tangent line goes through the point
(-3,-20)
Finally, we can use the point-slope formula for a line to find the equation of the tangent line.
y=mx+b
To find the value of b , substitute the values we have calculated for the point and slope of the tangent line:
(-20)=(45)(-3)+b
-20=-135+b
b=115
So our final answer for the equation of the tangent line is:
y=45x+115
Can I get help with what y equals?
Simplify:
(13x+4x) - (9x+3x)
Answer:
5x
Step-by-step explanation:
13x + 4x - 9x - 3x
5x
The red string r is 20 centimeters less than 5 times as long as the orange string s ." This can be represented by the expression r = 5 s − 20. Find the length of the red string if the length of the orange string is 10 centimeters. The length of the red string is centimeters.
Find f(-1)
f(x) = (1/5)^x
What is p shaded sector
Answer:
elaborate or take a picture so I understand the question.
Step-by-step explanation:
a baseball coach collected data to analyze the free throw shooting percentages of players during a game and during practice. The equation y=0.9x-1 is a line of best fit for the data, where x is the practice shooting percentage and y is the game shooting percentage. Based on the equation, what will be the approximate shooting percentage in a game for a player with a practice shooting percentage of 88?
Step-by-step explanation:
so fill in 88 where the x is so
y = 0.9 (88) - 1
y = 78.2
ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE
Answer:
57 inches
Step-by-step explanation:
thanks, kid.
kmjhugyfhtdrsxfcgvhgftcgvhjtc
(a) An angle measures 86. What is the measure of its supplement?
(b) An angle measures 34. What is the measure of its complement?
Answer:
a) 94
b) 56
Step-by-step explanation:
a)
Supplement means it adds up to 180 so:
180 - 86 = 94
b)
Complement means it adds up to 90 so:
90 - 34 = 56
An elevator has a maximum capacity of 950 pounds, and there must be an attendant working in the elevator at all times. A customer asks for the range of the number of people that the elevator can hold, not including the attendant. Assume that the average person weighs 155 pounds. Answer the customer's question. Include in your answer the equation or inequality that you used to find the solution.
Answer:
6 lol just do 155x 6 people
Answer:
the answer is 6 that's not including the attendant
Step-by-step explanation:
do 950/6 and that should help you sorry if this does not help you it is hard to explain. (I'm just not good at explaining)
Los números 4,3×-3,4× esta en progesion aritmética cuál es el cuarto termino
Answer: Le preguntaste a tu maestro?
Step-by-step explanation:
What is the least common multiple of 19 and 43?
Answer:
The Least Common Multiple (LCM) is: 19 x 43 = 817
Step-by-step explanation:
wind resistance varies jointly as an objects surface area and velocity. if an object traveling at 55 miles per hour with a surface area of 20 square feet experiences a wind resistance of 220 newtons how fast must a car with 55 square feet of surface area travel in order to experience a wind resistance of 275 newtons?
Answer:
25 miles per hour
Step-by-step explanation:
Given
[tex]W = Wind\ resistance[/tex]
[tex]A = Surface\ Area[/tex]
[tex]V = Velocity[/tex]
The joint variation can be represented as:
[tex]W\ \alpha\ A*V[/tex]
Where:
[tex]V = 55; A = 20; W = 220[/tex]
Required
Find V, when: [tex]A = 55; W = 275[/tex]
We have:
[tex]W\ \alpha\ A*V[/tex]
Express as an equation
[tex]W= k *A*V[/tex]
Where k is the constant of variation
Make k the subject
[tex]k = \frac{W}{A*V}[/tex]
When: [tex]V = 55; A = 20; W = 220[/tex]
We have:
[tex]k = \frac{220}{20 *55 }[/tex]
[tex]k = \frac{220}{1100}[/tex]
[tex]k = 0.2[/tex]
When: [tex]A = 55; W = 275[/tex]
We have:
[tex]k = \frac{W}{A*V}[/tex]
Substitute: [tex]A = 55; W = 275[/tex] and [tex]k = 0.2[/tex]
[tex]0.2 = \frac{275}{55 * V}[/tex]
Make V the subject
[tex]V= \frac{275}{55 * 0.2}[/tex]
[tex]V= \frac{275}{11}[/tex]
[tex]V= 25[/tex]
Mr okeke has 11 $5 dollar bills he wants to give three children even a
mount
Answer:
it would be a fraction 18.333333333
Step-by-step explanation:
Calculate the value of (1/2)^4
Answer:
D
Step-by-step explanation:
(1/2)^4 = 0.063
0.063 as a fraction is 1/16
1. If mzC = 55°, then what is m D?
A. 27.5°
B. 35°
C. 55°
D. 110°
which combination of numbers of hours would allow carson to work 15 hours in one week and earn at least $96
Answer:
15x=96
x=6.4
Step-by-step explanation:
I'm stumped,
Vaughn Inc. has three divisions which are operated as profit centers. Actual operating data for the divisions listed alphabetically are as follows.
PLEASE HELP ME I RLLY NEED HELP WITH THIS
Step-by-step explanation:
hope this will help you!
find the perimeter and simplify your answer
Answer:
32z-14
Step-by-step explanation:
2(9z-8)+2(7z+1)
18z-16+14z+2
simplify
32z-14
Please help 30 points and brainless
Answer:
Stats. for a basketball game and the graph could be a bar graph or could be a line graph. And yes the data would look good on a graph.
Step-by-step explanation:
I'm familiar with these types of problems.
