Solution:
Required margin of error = 0.05
Estimated population proportion p = 0.8
Significance level = 0.10
The [tex]\text{provided estimate population proportion}[/tex] p is 0.8
The significance level, α = 0.1 is [tex]z_c=1.645[/tex], which is obtained by looking into a standard normal probability table.
The number of patients surveyed to estimate the population proportion p within the required margin of error :
[tex]$n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$[/tex]
[tex]$=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$[/tex]
= 173.15
Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and it must be an integer number.
Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.
what is the answer to a+5a
Answer: 6a
Step-by-step explanation:
A + 5A just equals 6A. Let me know if I answered incorrectly or if you want me to clarify.
PLEASE HELP How can you make different triangles with the same angle measures?
Form different triangles with angle measures 90°, 75°, and 15°
How can you make different triangles with the same angle measures?
O A. Make triangles with the same angle measures and the same side lengths
OB. It is not possible to make different triangles with the same angle measures.
OC. Make triangles with the same angle measures but different side lengths
OD. Make triangles with the same side lengths but different angle measures
A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40
Answer:
c y=1/2x+40
because it's positive (up). /
Find the midpoint of the line segment with the given endpoints. (-1,1) (5,-5)
(2;-2)
therefore the coordinates of the mi
Step-by-step explanation:
X=(X+X)/2
X=(-1+5)/2
X=2
y=(y+y)/2
y=(1-5)/2
y=-2
therefore the coordinates of the midpoint is (2;-2)
Help me please! It’s timed
Answer:
x=36.08
Step-by-step explanation:
Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]
DF=55
and DE= x
To find the value of x
According to trigonometry rule,
[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]
Therefore, the value of x will be 36.08
What is the sum of (2n – 5m) and (n + m)?
Answer:
3n - 4m
Step-by-step explanation:
(2n-5m)+(n+m)
so we get this equation and from here, we expand the equation by removing the brackets, you should get:
2n-5m+n+m and just solve from here.
to make it easier, put the like terms together:
2n+n+m-5m
= 3n-4m
Answer:
3n - 4m
Step-by-step explanation:
(2n – 5m) and (n + m) in this case have the same value if the parentheses are removed. We end up with:
2n – 5m
n + m
-------------- Grouping like terms vertically, as shown here, may make this
addition a bit easier.
2n – 5m
n + m
--------------
3n - 4m (final answer)
Amber and Ruben play a game with one 6-sided die. Ruben gets a point if he rolls a prime number. Amber gets a point if she rolls a number that is a factor of 6. Is this game fair? Explain.
Answer:
Explain what?
Step-by-step explanation:
if x+3/3 = y+2/2 then x/3 =
Answer:
x+3/3=y+2/2
x/3 = y/2
Step-by-step explanation:
Which number is rational?
Answer:
Option D, [tex]\sqrt{16}[/tex], since the answer is 4 which is a rational number considering that it's a whole number
Hope this helps!
consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x
maths anwsers for this
Answer:
the area would be 15 if you use are equals 1/2 base times height
The candy shop puts 10 ounces of gummy bears in each box. How many
boxes do they need to fill if there are 21 ¼ pounds of gummy bears?
10) The second angle in a triangle is 3° less than twice the first angle. The third angle measure 8° more than
twice the first angle Find each angle.
Answer:
35, 67 and 78
Step-by-step explanation:
the angles are:
n, 2n-3 and 2n+8
there are 180 degrees in a triangle, so adding those terms together will give us 180
5n + 5 = 180
180 - 5 = 175
5n = 175
175 / 5 = 35
n = 35
now we have n we can put it in to the formula we have for the angles at the start:
n = 35
2n - 3 = 67
2n + 8 = 78
so the angles are
35, 67 and 78
see attachment :)) I've been stuck on this question forever... I do not understand how they got 2r^2-60r-45=0. I know the formula for the area of the circle is r^2 pi... but still... Can someone answer the question with explanation?
Answer:
2r² - 60r - 45 = 0
Step-by-step explanation:
Hang on this is going to be convoluted
------------------------------
Area of pond
a = πr²
Area of path
a = πr²/10
Combined Area
a = πr² + πr²/10
a = π(r² + r²/10)
---------------------------
The Combined Area can also be expressed as
a = π(r + 1.5)²
a = π(r² + 3r + 2.25)
-----------------------------
Set the areas equal
π(r² + r²/10) = π(r² + 3r + 2.25)
Divide both sides by π
r² + r²/10 = r² + 3r + 2.25
Subtract r² from both sides
r²/10 = 3r + 2.25
Multiply both sides by 20
2r² = 60r + 45
Subtract 60r + 45 from both sides
2r² - 60r - 45 = 0
I didn’t mean to click C but yea I need help
Answer:
C.
Step-by-step explanation:
It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.
Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?
We are given these three people age below:
Jim's ageCarla's ageTomy's ageWe define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
Jim's age = xNext, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
Carla's age = x+5Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
Tomy's age = 6+(x+5)The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.
[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]
Combine like terms and solve for x.
[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]
Then we substitute the value of x in ages to find these three people ages.
Jim's age = x = 5Carla's age = x+5 = 5+5 = 10Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.Answer
Jim's age = 5Carla's age = 10Tomy's age = 16Describe the general properties of rotations.
A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.
A rotation preserves lengths of segments.
A rotation preserves measures of angles. Step-by-step explanation:
You Welcome :)!
If you put $25 each month into a savings account that paid a simple interest rate of 6.5% each year, how much would you have in your account at the end of two years?
Answer:
$339.00
Step-by-step explanation:
If you put $25 each month into a savings account that paid a simple interest rate of 6.5% each year, how much would you have in your account at the end of two years?
We solve the above question using the Equation:
A = P(1 + rt)
P = Principal = Amount deposited each month = $25
The amount deposited in a year = $25 × 12 months = 300
Calculation:
First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year.
Solving our equation:
A = 300(1 + (0.065 × 2)) = 339
A = $339.00
Therefore, you would have $339 in your account after 2 years
Choose the attributes that are true for all quadrilaterals.
four angles
four right angles
four sides
opposite sides equal in length
opposite sides parallel
Answer:
four angles
four sides
Step-by-step explanation:
Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true?
Joseph is correct because only a line will increase along the whole data set. The scatterplot will have a positive, linear association.
Joseph is correct because only a line will decrease along the whole data set. The scatterplot will have a negative, linear association.
Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.
Amy is correct because only a nonlinear association could increase along the whole data set. A line has the same slope at any point, but a curve can get steeper at different points.
Answer: Choice C
Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.
======================================================
Explanation:
Just because the data points trend upward (as you go from left to right), it does not mean the data is linearly associated.
Consider a parabola that goes uphill, or an exponential curve that does the same. Both are nonlinear. If we have points close to or on these nonlinear curves, then we consider the scatterplot to have nonlinear association.
Also, you could have points randomly scattered about that don't fit either of those two functions, or any elementary math function your teacher has discussed so far, and yet the points could trend upward. If the points are not close to the same straight line, then we don't have linear association.
-----------------
In short, if the points all fall on the same line or close to it, then we have linear association. Otherwise, we have nonlinear association of some kind.
Joseph's claim that an increasing trend is not enough evidence to conclude the scatterplot is linear or not.
Answer:
Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true?
A) Joseph is correct because only a line will increase along the whole data set. The scatterplot will have a positive, linear association.
B) Joseph is correct because only a line will decrease along the whole data set. The scatterplot will have a negative, linear association.
C) Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatter plot could be linear or nonlinear.
D) Amy is correct because only a nonlinear association could increase along the whole data set. A line has the same slope at any point, but a curve can get steeper at different points.
Step-by-step explanation:
I got it right on ed.
(its C/3 btw)
Pls help with this, I do not know what to do
Answer:
The correct answer would be A
Step-by-step explanation:
Points D and E are midpoints of the sides of triangle ABC. The perimeter or the triangle is 48 units. What is the value of t?
Answer:
2 units
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangle are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.
Since point D and E are midpoints of the sides of triangle ABC, hence:
AD = BD = 3t, BE = CE = 4t, AC = 7t + 6
The perimeter of triangle ABC = AC + BC + AB = AC + AD + BD + BE + CE;
Substituting:
48 = 7t + 6 + 3t + 3t + 4t + 4t = 21t + 6
48 = 21t + 6
21t = 42
t = 2 units
ILL BRAINLIEST YOU IF YOU HELP ME PLEASE
option C is correct because a line bisecting parallel lines makes the same angle on each line at the point of intersection
so they all will make 61°
I’ll mark brinaliest if the answe is correct. I need those two answers that are blank
Answer:
blue marbles: 4/15
red marbles: 8/15
Step-by-step explanation:
add all the marbles together then put how many marbles in front as the numerator.
Lines DE and AB intersect at point C.
What is the value of x?
Answer:
25 because I need to use mayh
I have 2 more days to live what to do :(
Answer:
I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.
NEED ANSWER! The cost of renting a car is $26.50 plus $10 pe rday. sales tax is 6% select the two expression that represent the cost of renting a car for d days.
A.28.09d
B.26.50+6d
C.26.50+1.06d
D. 28.09+10.6d
E.1.06(26.50+10d)
Answer:
E.1.06(26.50+10d)
Step-by-step explanation:
d+e
i think i its d im not sure to
At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing.
a. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place.
b. On which swing is the length of the arc first less than 1 foot?
c. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b.
Step-by-step explanation:
the answer is in the image above
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Math help please show all work thanks !
Answer:
500 1/8" (500.125 inches)
