Answer:
We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%
Step-by-step explanation:
From the question we are told that
The sample proportion is [tex]\r p = 43\% = 0.43[/tex]
The standard error is [tex]SE = 0.017[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100-95)\%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex]E = 1.96 * 0.017[/tex]
=> [tex]E = 0.03332 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.43 -0.03332 < p < 0.43 + 0.03332[/tex]
=> [tex] 0.39668 < p < 0.46332[/tex]
Converting to percentage
[tex] (0.39668 * 100)< p < (0.46332*100)[/tex]
[tex] 39.7\% < p < 46.33 \%[/tex]
Write a possible equation for a polynomial whose graph has horizontal intercepts at x = 2,-1,-3.
help
Answer:
y = (x - 2)(x + 1)(x + 3)
Step-by-step explanation:
horizontal intercepts at x = 2, -1, -3
-> y = 0 when x = 2, x = -1, and x = -3
Think x minus what equals y?
1. y is 0 and x is 2 -> 0 = (2 - 2) -> y = (x - 2)
2. y is 0 and x is -1 -> 0 = (-1 - (-1)) -> y = (x + 1)
3. y is 0 and x is -3 -> 0 = (-3 - (-3)) -> y = (x - 3)
so the equation is y = (x - 2)(x + 1)(x + 3)
since y = 0 when x = 2, x = -1, and x = -3
We want to find a polynomial given that we know its roots.
We will get:
p(x) = x^3 + 2*x^2 - 5*x - 6
-------------------------------------
A polynomial with the roots {x₁, x₂, ..., xₙ} and a leading coefficient A, we can write it as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
Here we know that the roots (horizontal intercepts) are {2, -1 , -3} but we do not know the leading coefficient, so we will use A = 1.
Then the polynomial is:
p(x) = (x - 2)*(x + 1)*(x + 3)
Expanding that we get:
p(x) = (x^2 - x - 2)*(x + 3)
p(x) = x^3 + 2*x^2 - 5*x - 6
This is a possible equation for the polynomial with the given horizontal intercepts.
If you want to learn more, you can read:
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Car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
Please help!
Answer: A
Step-by-step explanation:
Car B was 10 miles east of car A.
What is speed?The rate of change of position of an object in any direction is called speed.
What is the relation between speed, distance and time?[tex]speed = \frac{distance}{time}[/tex]
According to the given question
Speed of car A was 60 miles/hour.
⇒ After 2hours the distance covered by car A = 60 × 2 = 120 miles.
But it is given that car travelled total 130 miles.
So, the extra distance covered by the car = 130 - 120 = 10 miles.
From the graph we can say that the distance.
At, Time = 0
The distance travelled by car B is 20 miles.
Now, the extra distance covered by the car A w.r.t B = 20 - 10 = 10 miles
Since, both the cars were travelling in east direction.
Therefore, Car B was 10 miles east of car A.
Find out more information about speed distance and time here:
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#SPJ2
round 49,815,662 to the nearest hundred thousand
Answer:
49,800,000 is the answer
Answer:
50,000,000
Step-by-step explanation: What you would do is if you have to round up, remember this way to always get it right. 4 or below = stays the same 5 or above = rounds up. so 49,815,662. Well we would take the 8 and round it up to the 9 making it 10 so 49 turns into 50.
a. Find the vertex form equations (y = a(x - h)2 + k) for the parabolas below.
Assume parameter a = 1.
I
b. Then rewrite the equations in standard form (y = ax + bx + c).
Hint: multiply out your answer from part a.
Answer:
y=-(x+3)^2
y=-x^2-6x-9
Step-by-step explanation:
i uh hope this is correct
hope thia helps <3
The fraction 4/10 can be written as what
Answer:
In decimal form 0.4 or 4/10 or 2/5 (simplified). Also, in percentage form 40%.
Step-by-step explanation:
4.) solve for f(g(2))
Answer:
[tex]f(g(2))=10[/tex]
Step-by-step explanation:
We have the two functions: [tex]f(x)=3x-5[/tex] and [tex]g(x)=2+\frac{6}{x}[/tex].
We want to find [tex]f(g(2))[/tex].
So, let's use the second function to find [tex]g(2)[/tex] first:
[tex]g(2)=2+\frac{6}{2}[/tex]
Divide:
[tex]g(2)=2+3[/tex]
Add:
[tex]g(2)=5[/tex]
Therefore, our expression is the same to [tex]f(g(2))=f(5)[/tex].
Now, we can substitute 5 for f(x). This yields:
[tex]f(5)=3(5)-5[/tex]
Multiply:
[tex]f(5)=15-5[/tex]
Subtract:
[tex]f(5)=10[/tex]
So:
[tex]f(g(2))=10[/tex]
And we're done!
1/3j =9
A.)27
B.)9
C.)3
D.)4
h(t) = (t + 3) + 5
What is the average rate of change of h over the interval -5
PLEASE HELP Use this graph to answer the questions
Answer:
a. the domain is 1 ≤ x ≤ 6
b. the cost of 4 sandwhiches is $8
Step-by-step explanation:
A. The domain is all of the possible x values (the range is all of the y values)
B. By finding the x value of 4 you can then trace it up until it intersects with the slope or your data points. Then you look left and see which y-value is associated with the x-value.
I hope this was helpful! Good Luck!
Find the quotient.
5,400 / 90
Answer:
5,400 ÷ 90 = 60
Step-by-step explanation:
hope it helps!
What is the solution to the system of equations graphed below?
==================================================
The graphs cross at this point. Intersection points are solutions to systems of equations.
Put another way, (1,4) is on the blue line and on the red line simultaneously.
A point on the red line is a solution to the red equation. A point on the blue line is a solution to the blue equation.
-----------------
Checking the answer:
y = x+3
4 = 1+3 ... plug in x = 1 and y = 4 into the blue equation
4 = 4 .... solution works for the blue equation
y = 3x+1
4 = 3(1)+1 ... plug in x = 1 and y = 4 into the red equation
4 = 3+1
4 = 4 ... solution also works for the red equation
This fully confirms the solution
Which expression correctly represents “six more than the product of five and a number, decreased by one”?
6 + 5 n minus 1
6 + 5 + n minus 1
6 + 5 (n minus 1)
(6 + 5) n minus 1
Answer:
its b
Step-by-step explanation:
One hundred minus
six times x is equal to
twenty-seven
What is algebraic expression?
Answer:
100 - 6x = 27
Step-by-step explanation:
1. Add 4.2 to both sides.
2. Divide both sides by -3.
Lara took a total of 10 pages of notes during 2 hours of class. After attending 9 hours of
class, how many total pages of notes will Lara have in her notebook? Solve using unit rates.
Fast please i need it asap thanks
Answer:
45 pages
Step-by-step explanation:
The unit rate is the number of pages divided by the unit of time
10 pages /2 hours
5 pages per hour
To find the total number of pages of notes take, multiply the unit rate by the total amount of time
We have 9 hours
5 pages per hour * 9 hours
45 pages
Answer:
take x to be the no. of pages for 9 hours
10 pages 2 hours
x pages 9 hours
Cross multiplication:
90 = 2x
x = 90/2
x = 45
Lara will cmplte 45 pages in 9 hours.
Which of the following BEST describes how use of the multiplication property of equality to isolate the variable x below?
–3x = 12
Answer:
multiply both sides of the equation by -1/3
Step-by-step explanation:
multiplication property of equality says we can multiply both sides of the equation by the same amount to form an equivalent equation
1 dm² ÷ 1 cm² = ?
How much is it?
- Thanks
The answer to a multiplication problem
5 x 2 = 10
Sum
Difference
Product
Quotient
Answer:
Product
Step-by-step explanation:
I’ll make brainliest..pls help
Answer:270
Step-by-step explanation:
Solve.
|x + 7] +6 = 32
Answer:
x=19
Step-by-step explanation:
x+7+6=32
x+6=25
x=19
HOW DO YOU SEE IT The diagram represents the number of students in a school with brown eyes,
brown hair, or both.
*picture*
Determine whether each inequalities must be true. Explain your reasoning.
(Choices in photos)
Answer:
a. true; the # brown hair is either greater than or equal to the # of brown eyes
b. false; the # of brown hair + 10 can only be greater to the # of brown eyes, not equal
c. true; the # of brown hair can only be greater than the # of both brown hair & eyes
d. false; the # of brown hair + 10 can only be greater then the # of both, not equal
e. true; the # of brown hair can only be greater then the # of both brown hair & eyes
f. true; the # of brown hair + 10 can only be greater then the # of both
Step-by-step explanation:
hope this helped you out
Venn diagrams gives a visual representation of the distribution of a whole divided into two or more groups using circles. Going by the scale of the Venn diagram given, only the inequalities A, C, E and F must always be true.
Size of brown hair = H
Size of brown eyes = E
Size of those who have both = X
From the Venn diagram given ; we can deduce that H = E
Evaluating the inequalities :
H ≥ E is True because H = E H ≥ X is True because proportion of H is more than X H > X is True because proportion of H is more than X H + 10 ≥ E is must not always be True because H = E ; adding 10 more to H will make H more than E always. H + 10 ≥ X is False because proportion of H is more than X, adding 10 more to H, the proportion gets bigger H + 10 > X is True because proportion of H is more than XTherefore, only the inequalities A, C, E and F must always be true.
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estimated answer for 3 3/7 x 1 3/4 simplify and type a whole number
How many millimeters are in 90 ounces?
Answer:2661615
Step-by-step explanation:
29573.5 is how many millimeters are in an ounce multiply that by 90 and you get 2661615
hope this helps
Answer:
you used two different types of things ounces measure mass and millimeters measure length
but I used google and it said 2.662e+6
can you please help with geometry? to solve for x.
Answer:
Solve for x means find the value of x that would make the equation you see true. Think about this equation: x + 1 = 3. If you were asked to solve it, that would mean finding some value for x that gives you three when you add one to it. ... That's what solving an equation is all about!
Step-by-step explanation:
8=2+3d u got to get d. i need this asap
Answer:
d = 2
Step-by-step explanation:
8 - 2 = 6
6 / 3 = 2
plz mark brainliest
Answer:
d=2
Step-by-step explanation:
Switch the left and right sides
2+3d=8
Rearrange the expression
3d+2=8
Separate the constants and variables
3d=8−2
Add or subtract the numbers
3d=6
divide both sides by 3
3d/3=6/3
d=2
hope it helps :)
Translate the sentence into an inequality
A number X increased by 5 is less than -17
Kari wants to measure the height of a tree. She walks exactly 90 feet away from the base of the tree and looks up to the top of it. The angle from the ground to the top of the tree is 32 degrees. This particular tree grows at an angle of 85 degrees with respect to the ground rather than vertically. How tall is the tree to the nearest tenth of a foot? Enter a number answer only.
Answer:
this is a Sin(), Cos() and Tan() function problem. use the Mnemonic (new-monic) SOH CAH TOA (soo caw tow ah ) to remember which function sin() cos() or tan() to use.. :) these types of problems are pretty confusing, Use that Mnemonic to keep the functions in order
Step-by-step explanation:
since we know the distance to the tree.. and we know the angle and we have a formula TOA to figure out the one pieces of info we don't know ... use TOA that tells us our formula.. TOA(Ф)=Opp / Adj where Tan(Ф) is using Ф= to our angle of 32 degrees ( remember Ф can be in degrees or radians, its in degrees for this problem) Adj = the Adjacent side of the triangle from the known angle.. the 32 degree angle , Opp = the Opposite side of the triangle formed by the imaginary lines from Kari to the base of the tree and from Kari to the top of the tree.. and then the tree , from it's base to it's top... we know the angle and the Adj side of that triangle so we can figure out that last part of TOA by saying Tan(Ф)=Opp/ Adj .... or say Tan(32)= Opp / Adj ⇒ Tan(32)=Opp / 90 ⇒ Tan(32) *90 = Opp this will be the height from the ground to the top of the tree.. but.. the tree is at an angle , keep in mind... sooo Tan(32)*90=56.238 feet now take the new triangle that we know one side to... from the ground to the height of the tree.. in a vertical line from the ground to a point at 56.238 feet .. that is the Adj side of this new triangle.. the tree is on the Hypotenuse of this new trialge, which we want to find. we know the Adj side we know the angle to find the Hypotenuse use CAH , from our Mnemonic at the top, the Mnemonic is really important b/c keeping track of which part goes where in the triangles is pretty confusing. Cos(5)=Adj / Hyp ⇒ Cos(5)=56.238 / Hyp ⇒56.238 / Cos(5)= Hyp = 56.453 feet :) that's how tall that tree is , lets chop it down :P and blame it on George Washington :P The tree, to the nearest 10th of a foot, is 56.5 feet
Miranda baked 15 cookies with 3 scoops of flour. With 6 scoops of flour, how many cookies
can Miranda bake? Solve using unit rates.
Answer:
Miranda can bake 30 cookies with 6 scoops of flour.
Step-by-step explanation:
The rate is 5 cookies for every scoop of flour. to figure this out we need to divide 15 by three, to get 5, so the rate ends up being 5:1
Next, to find out the number of cookies, we need to multiply 5 by 6 to get 30. Therefore, Miranda can bake 30 cookies.
Write the number four hundred thirty-eight million,eight hundred thousand is standard form
Answer:
438,800,000
Step-by-step explanation:
The number 438 million comes first, so put 438 and then a comma.
The number 800 thousand is next, so put 800 and then a comma.
There is no number for the hundreds, tens, and ones place, so put 000 with no comma after, like this.
438,800,000Can someone send the answers to these
Answer:
1) 2 square root 17
2) 3 square root 10
3) 3 square root 15
Step-by-step explanation:
your welcome :) my apologies, I could not write the square root symbol.
