80% of teenagers have access to some social media . If you do a random survey of 400 teenagers, what is the probability that between 300 and 340 of them will patronize it.
Answers
Answer:
P(300 < p^ < 340) = 0.9876 or 98.76%
Step-by-step explanation:
We are given;
Population proportion; p = 80% = 0.8
Sample proportion; p1^ = 300/400 = 0.75 and p2^ = 340/400 = 0.85
Sample size: n = 400
z-score formula for sample proportion is;
z = (p^ - p)/(√(p(1 - p)/n)
Thus;
z1 = (0.75 - 0.8)/(√(0.8(1 - 0.8)/400)
z1 = -0.05/0.02
z1 = -2.5
z2 = (0.85 - 0.8)/(√(0.8(1 - 0.8)/400)
z2 = 0.05/0.02
z2 = 2.5
From online calculator of probability between 2 z-scores, we have;
P(-2.5 < z > 2.5) ≈ 0.9876
Related Questions
A certain bacteria multiply exponentially at a rate of 8% per day. If 2 bacteria exist initially, how many
will be present after 25 days?
Answers
Answer:
After 25 days will be present about 13.70 ≅ 13 bacteria
Step-by-step explanation:
The form of the exponential function is y = a [tex](1+r)^{x}[/tex] , where
a is the initial valuer is the rate in decimal∵ A certain bacteria multiply exponentially at a rate of 8% per day
→ Assume that y is the number of bacteria, x is the number of days
∴ r = 8% = [tex]\frac{8}{100}[/tex] = 0.08
∵ 2 bacteria exist initially
∴ a = 2
→ Substitute them in the form of the equation above
∵ y = 2 [tex](1+0.08)^{x}[/tex]
∴ y = 2 [tex](1.08)^{x}[/tex]
∵ x = 25
→ Substitute x in the equation by 25
∴ y = 2 [tex](1.08)^{25}[/tex]
∴ y = 13.69695
∴ After 25 days will be present about 13.70 bacteria
Note: The number of bacteria must be the whole number so the answer should be 13 bacteria will be present after 25 days.
both the domain and range of the graph shown above is all real numbers.
true or false
Answers
Given the point and slope write the equation of the line (6, -6); slope = 5/6
Answers
Answer:
y=5/6x-11
Step-by-step explanation:
Slope intercept form: y=mx+b
With slope: y=5/6x+b
Replace x with 6 and y with -6
[To figure out which one is x or y remember (x,y) so if you compare (6,-6) then you will find that 6 is x and -6 is y]
-6=5/6(6)+b
Simplify:
-6=5+b
Subtract 5 on both sides:
-11=b or b=-11
Answer:y=5/6x-11 (Replace the b in y=5/6x+b with -11 since -11 is equal to b)
Hope this helps!
Colin weighs himself at 60kg to the nearest kg.
What is the least he could weigh?
Answers
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity.
tan(x)sin(2x)
= tan(x)∙[2sin(x)cos(x)]
= StartFraction sine (x) Over cosine (x) EndFraction times 2 sine (x) cosine (x)
= 2sin2(x)
= 1 – cos(2x)
What are the correct justifications, listed in proper order?
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify
Answers
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity is option A
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity.
What is double angle identity?The sin2x formula is the double angle identity used for sine function in trigonometry. Trigonometry is a branch of mathematics where we study the relationship between the angles and sides of a right-angled triangle. The formula for sin2x: sin2x = 2 sin x cos x (in terms of sin and cos)
Given
1 – cos(2x) = tan(x)sin(2x)
Taking R.H.S
tanx.sin2x
= tanx(2 sinx cosx)
2 sinx cosx is a double angle identity
= [tex]\frac{sinx}{cosx} .(2 sinxcosx)[/tex]
[tex]\frac{sinx}{cosx}[/tex] is a quotient identity for tangent
= [tex]2sin^{2} x[/tex]
We have simplify by cancelling out cosx.
= 1 - cos(2x)
It is a double angle identity.
Find out more information about double angle identity here
https://brainly.com/question/1603716
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True or false the sum of two negative numbers is always negative explain why or why not this is true or false
Answers
Answer:
true
Step-by-step explanation:
Let's say you have -7 dollars in your bank account, and then you go and spend 5 more, which is -5, now you have -12 bucks in your account
Answer:
true!
Step-by-step explanation:
if you add negative numbers together, it will have to be negative because you are not adding positive numbers. same thing with positive numbers, if you add two positive numbers together, the sum will be a bigger positive number!
Jill walked 2 1/3 miles to the
treasure and then 1 3/4 miles back
to the boat. How many miles did
Jill walk in all?
Answers
4 1/12 miles in total.
Emily simplified this expression.
Expression: (5−2)2+23×4
Step 1: (3)2+23×4
Step 2: 9+23×4
Step 3: 9+9×4
Step 4: 9+36
Step 5: 45
Emily made a mistake. Which step shows her first mistake?
Step 1
Step 2
Step 3
Step 4
Answers
what's the way to finding a solution?
Answers
-9x=180
x=-20
Hope it helps! All ya gotta do is add -4 and -5. Which is -9, and then you do 180 divided by -9 and it equals -20
Which describes all decimals that are rational numbers?
Tbo dod
Answers
Answer:
Step-by-step explanation:
For starters, rational numbers are any numbers that has the capability to be written as a fraction.
For example, 0.5 is a decimal, and can also be written in form of a fraction, as 1/2
A recurring decimal can be written as a fraction. For example, we have 0.167 which can be written as 1/6
In the example, for the decimal 0.36425, we find the place value of the last digit. The last digit here is 5 placed in the hundred-thousandths place. On simplifying further into a fraction, we have 36425/100000.
Which statements best describes the difference between interest and debt
Answers
Answer:
I think the answer is C, interest is a fee charged for borrowing money, dept is the total amount of money owed.
The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).
Answers
Answer:
125, 105, 120
Step-by-step explanation:
You would first make an equation with what you know:
x + 45 + x + 25 + x + 40 = 350.
Now, you would simplify and add like terms.
3x + 110 = 350
Now, you would subtract 110 from both sides.
3x = 240
Now, you would divide both sides by 3.
x = 80
Now that you know what x is, simply plug it in to the respective equations for all three sides.
x + 45 would become 80 + 45, and add up to 125.
x + 25 would become 80 + 25, and add up to 105.
x + 40 would become 80 + 40, and add up to 120.
To check your work, you would now add the three totals.
125 + 105 + 120 = 350.
Equivalent fraction of 12/126
Answers
Answer:
2/21
Step-by-step explanation:
For the number line shown which statement is not true
Answers
upload the picture...
Jordan was asked to convert 345,000,000 to scientific notation. His response was 34.5 x 10^7. His teacher told him he was incorrect. Explain Jordan’s mistake and determine the correct answer
Answers
Answer:
345,000,000 =3.45 x 10^8
Step-by-step explanation:
To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. This is Jordan mistake, 34.5 is greater than 10. Which is incorrect!
explanation:
you have 345,000,000
Keep moving the dot till you have 3.45
Then count how many spaces you've moved
To get to 3.45, it took you 8 moves so you would have 3.45*10^8 as your answer
When do you draw a hole in a piecewise function?
Answers
Answer:
you just draw a circle indicating that it is a hole. Your welcome
HELP ASAP PLZZZZ, I’m begging!
Answers
Answer:
I think it's B
Step-by-step explanation:
I believe the answer is C
Josie bikes 40 miles each month for five months she multiplies 40×5 what unit should she use for the product miles or months?
Answers
Answer:40x5 are the factors of every miles times each month so the units she should use is months
Step-by-step explanation: 40= (miles)
5=(months)
ANOTHER QUESTION PLEASE HELP
Answers
Answer:
c) 4
Step-by-step explanation:
Area of a square is its length times its length, or length²
Square root of 16 is 4
write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
25, 16, 12
A) Yes
B No
Answers
Answer: No
Step-by-step explanation:
To find out if it is a right triangle then use the formula a^2 + b^2 = c^2 where a and b are the legs which are the two small sides and c is the hypotenuse the longest side. Input the values for a, b, and c and solve.
a = 12
b = 16
c= 25
12^2 + 16^2 = 25^2
144 + 256 = 625
400 = 625
This means that it is not a right angle because 400 does not equal to 625.
Pete wants to buy a new bike that costs $120 before any discount. Which offer should he choose to pay the least amount for the bike? NEED HELP PLEASE
Answers
f (x) = x squared What is f(x) + f(x) + f(x)?
Answers
Answer:
Step-by-step explanation:
fx^3
Student can eat 1/8 of a pizza. If there are 24 students in David's class how many pizzas does David need
Answers
Answer: 7 boxes of pizza
Step-by-step explanation:
8x3=24
Answer:
David needs 3 pizzas.
Step-by-step explanation:
This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.
Which statement about the diagram is true
Answers
Answer:
AB have the length of 9
Step-by-step explanation:
5 is to short 14 is too long in between would be 9
Drag and drop the constant of proportionality into the box to match the table.
If the table is not proportional, drag and drop "not proportional" into the box.
x 0 2 4 6
y 0 3 6 9
Answers
Answer: it is NOT proportional
Step-by-step explanation: it doesn’t stick to 1 number going up if that makes sense, it’s adding 1 each time it goes up but it has to stick to one number going up making this NOT proportional
Answer:
2/3
Step-by-step explanation:
x adds by 2's: 0 2 4 6...
y adds by 3's: 0 3 6 9...
How many factors are in a B + CD + EF + GH
Answers
The given expression is
=ab+cd+ef+gh
The meaning of expression is equal to terms which contains variables and constants and operation between them is Addition, Subtraction, Multiplication and Division.
→The expression consists of four terms which are, ab, cd, ef, and gh.
→Each term contains
Two factors.
plz mark as brainliest
Select the correct answer.
Which system of equations is satisfied by the solution shown in the graph?
Answers
Answer:
i think letter D because it's same
Answer:
one solution
Step-by-step explanation:
whats nine and 5 tenth in standard form
Answers
f(x)=4x^2+2x+6
What is the value of the discriminant of f?
How many distinct real number zeros does f have ?
Answers
Answer:
It has ZERO distinct real number zeros.
please help me for a question
Answers
Answer:
there is no question??