1. the 95% confidence interval for the true population proportion of those with hypertension who are taking treatment is (0.324, 0.366).
1. To create a 95% confidence interval for the true population proportion of those with hypertension who are taking treatment, we can use the following formula:
CI = p(cap) ± z*√( p(cap)(1- p(cap))/n)
where:
p(cap) is the sample proportion of those with hypertension who are taking treatment (1219/3532 = 0.345)
z* is the critical value for a 95% confidence level (1.96)
n is the total sample size (3532)
Plugging in the values, we get:
CI = 0.345 ± 1.96*√(0.345(1-0.345)/3532)
CI = 0.345 ± 0.021
2. To determine the sample size needed to achieve a margin of error (E) of 0.01, we can use the following formula:
n = (z*σ/E)^2
where:
z* is the critical value for a desired confidence level (let's use 1.96 for a 95% confidence level)
σ is the population standard deviation (unknown in this case, so we'll use 0.5 as a conservative estimate since it produces the largest sample size)
E is the desired margin of error (0.01)
Plugging in the values, we get:
n = (1.96*0.5/0.01)^2
n ≈ 9604
So we would need to sample approximately 9604 individuals to achieve a margin of error of 0.01.
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a block that is 2 inches wide,3 inches long, and 2 inches tall. what is the volume of a tower that is built by 3 blocks?
Answer:
36
Step-by-step explanation:
length*Width*height
3*2*2=12
12*3=36
The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?
Answer: [tex]16p^{2} -9[/tex]
The area of the rectangle is [tex]16p^{2} -9[/tex].
What is a rectangle?A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The side length of square = 4p
The length of rectangle, l = 4p+3
The width of rectangle, w = 49-3
The formula of area of rectangle is
[tex]A=lw[/tex]
⇒ [tex]A=(4p+3)(4p-3)[/tex] [∵ [tex](a+b)(a-b)=a^{2}-b^{2}[/tex] ]
⇒ [tex]A=(4p)^{2} -3^{2}[/tex]
⇒ [tex]A=16p^{2} -9[/tex]
Hence we can conclude that the area of the rectangle is [tex]16p^{2} -9[/tex].
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can u guys please help! tysmmmmmm
it's 88.1 x 10 to the power negative 2
and
0,0881
Step-by-step explanation:
88.1÷1000=0,0881
Please help me please
Answer:
D
Step-by-step explanation:
Left to right so it is KM (eliminate B and C). It isn't A because the line doesn't continue to the left through point A, so it is D.
plzzzzzzzzzzz help.
Answer:
D. The area of the triangle is 9 square feet, because the area of the rectangle is 18 square feet.
Step-by-step explanation:
Which expression is equivalent to (5^3)^-2
PLZ help me i will give u many points
Answer:
im pretty sure its the last one
Step-by-step explanation:
Answer:
be
Step-by-step explanation:
Which of the following is not a true statement? *
a. The boundary line of y > x + 1 is a solid line.
b. The boundary line of y < 2x - 3 is not a solid line.
c. 3x + y < 2 is an example of linear inequality
d. (1, 1) is a solution of x + 3y > 2
Answer:
b. The boundary line of y < 2x - 3 is not a solid line.
Step-by-step explanation:
It's a linear inequality thus its boundary line must be a solid line.
answer fast helpp.........................
Answer:
20°
Step-by-step explanation:
In circle with center O, PS is diameter.
[tex] m\angle PRS =90\degree [/tex]
(angle inscribed in semicircle)
PQRS is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
[tex] \therefore m\angle QPS + m\angle QRS = 180\degree [/tex]
[tex] \therefore (x\degree +25\degree) +(45\degree +90\degree) = 180\degree [/tex]
[tex] \therefore x\degree +25\degree + 45\degree +90\degree = 180\degree [/tex]
[tex] \therefore x\degree +160\degree = 180\degree [/tex]
[tex] \therefore x\degree = 180\degree-160\degree [/tex]
[tex]\huge\red {\therefore x\degree = 20\degree} [/tex]
Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE I’ll give you BRAINLEST
Step-by-step explanation:
find the slope
-1 - 8/ -2 - -4 = -9/2
y - -1 = -9/2(x - -2)
y +1 = -9/2(x+2)
y = -9/2x -10
Answer:
y=-9/2x-10
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-8)/(-2-(-4))
m=-9/(-2+4)
m=-9/2
y-y1=m(x-x1)
y-8=-9/2(x-(-4))
y-8=-9/2(x+4)
y=-9/2x-36/2+8
y=-9/2x-18+8
y=-9/2x-10
3. Find the volume of a hemisphere with a radius of 17 inches. Round to the nearest tenth
#2 Find the value of x. Round to the nearest degree.
Answer:
49°
Step-by-step explanation:
arccos x = 15/23
Please help!! Given that triangle ABC is congruent to triangle DEF, the measure of angle A = 70°, the measure of angle B = 60°, the measure of angle C = 50°, the measure of angle D = (3x + 10)°, the measure of angle E = (y/3 + 20)°, and the measure of angle F = (z^2 + 14)°, find the values of x, y, and z.
Answer:
Ok so since the triangles are congruent, that means that the corresponding angles are congruent. This means angle A = angle D, angle B = angle E, and angle C = angle F.
So:
angle A = angle D
70 = 3x + 10
3x + 10 = 70
3x = 60
x = 20
angle B = angle E
60 = y/3 + 20
y/3 + 20 = 60
y/3 = 40
y = 120
angle C = angle F
50 = z^2 + 14
z^2 + 14 = 50
z^2 = 36
z = 6 (or -6)
Answer:
Step-by-step explanation:
A line segment with endpoints A(−2, 1) and B(2, 1) is dilated with a dilation centered at the origin and a scale factor of 52 to create A′B′¯¯¯¯¯¯¯¯¯¯. Which of the following statements regarding AB¯¯¯¯¯¯¯¯ is not true?
Answer:
AB = 5/2 A'B'
Step-by-step explanation:
the other answers:
2) (−1, 3/2)
3) 8 inches
4) The scale factor is between 0 and 1
5) (8, −4) and (−4, −12)
I just took the quick check, these are the answers. I know you already took it so this isn't helpful but if anyone else needs it^^
please help me if you can please
Answer:
hello! :) have a good day!
Exact Form:
x= 87/35
Decimal Form:
x= 2.48571428
Mixed Number Form:
x= 2 17/35
A student needs 23 pound of modeling clay for a project. If each package has 18 pound of clay, how many packages of clay does the student need for his projec
Answer:
First from 18, you count to 23. So, 19, 20, 21, 22, 23. There were only 5 more pounds needed, so it would be, 1 full package of 18 pounds and 1 quarter of a package (I think), because it is not a full package, another full package of 18 would be 36 pounds. I hope this helped! [It might not]
1) If the first coordinate represents the output value and the second coordinate represents
the input value, which two points could NOT be on the graph of the same function?
(output, input)
A. (2.2)
D. (4,7)
B. (2, 3)
E. (7.4)
C (2.4)
Answer:
A. Yup. A.
Step-by-step explanation:
2a+3b=5
b=a-5 help please
Answer:
2a + 3b = 5
b = a - 5
Step-by-step explanation:
2a + 3b = 5
b = a - 5
You can write this another way:
2a + 3(a-5) = 5 ( I added the second formula in the first one )
Now you gotta factor out:
2a + 3a - 15 = 5
Here im gonna do plus 15
2a + 3a = 20 ==> 5a = 20
Now if you divide by 5, you get: a = 4
Now you can fill in the second formula again
b = a - 5 (ill fill this in now)
b = 4 - 5 = -1
So, this makes:
a = 4 , b = -1
Answer:
a = -2
b = -7
Step-by-step explanation:
the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)
to begin, plug in a - 5 for b in the equation 2a + 3b = 5.
2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5
the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.
2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5
since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.
2a + 3a - 15 = 5 ⇒ 5a - 15 = 5
add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.
now your equation is 5a = -10.
divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.
therefore a = -2.
now plug in -2 for a in b = a - 5 in order to solve for b!
b = a - 5 ⇒ b = -2 - 5
subtract -2 - 5.
b = -2 - 5 ⇒ b = -7
therefore b = -7.
your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3
The population of a town has been growing, following the equation P=400t+3000, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R=6t+35.
Complete an equation for the number of restaurants per capita (per person)
Restaurants per capita: ______
How many restaurants per capita does this model predict for the year 2016?_______
Please also explain it to me, only if you can! Thank you!
Step-by-step explanation:
t is time since 2010. so,
the population prediction for 2016 is :
p= 400 ( 2016-2010)+3000
p= 400 (6) + 3000=5400
the number of restaurant prediction for 2016 is.
R=6(2016-2010)+35
R=6 (6)+35=71
so, per capita (per person) there would be:
71 restaurant for 5400.
people that is :71/5400 or 0.0131 restaurant per person.
per restaurant there would be,5400/71 or 76.056 per restaurant.
population corresponding to time (t).
=( R/ P) = (6t + 35). / 400t + 3000, where t= 2016-2010= 6 years
= 71/5400
= 0.0131
Restaurant per capita
R/P = (6t+35) / (400t + 300)
t= 2016-2010 =16
R/P = (6.16+35) /(400.16+3000)
= 131 (6400+3000)
=85/9400
=0.009042
Im giving brainiest to the person who answers it first. Thank you!
Answer: Oscer
Step-by-step explanation:
Help po plss
1.jane read 10books in one year,while huan rrad 8books.find the ratio jane's to juan's finished books .
2.nadine has 860 female followers out of a total of 1260followes in the social photosharing site find the ratio of female to male followers.
3.a public school has 4415 students and 1200 teachers.what is the ratio of the students to each other teacher.
Answer:
1. 10:8 = 5:4 (simplest form)
2. 860:400 = 43:20 (simplest form)
3. 4415:1200 = 883:240 (simplest form)
Marty sold a book online. The service charge was a 15% fee for using their website. If Marty sold the book for $60.00, how much money will Marty receive after the fee is assessed?
Answer: Marty would receive $69.00.
Step-by-step explanation:
15% is 9 of 60.
What amount of tax will be owed on an income of 63,280 if city income tax rate is 1.5% of all income
Answer:
multiply 63280 by 1.5% (.015). The answer is $949.20
Step-by-step explanation:
I need help with everything but A. assignment is worth 150 points
A figure is shown
9 in.
3 in.
2 in.
3 in.
Which expression shows how to find the area of the figure?
A. 9x2 + 3x3
O C. 9+3+2+3
B. 9x 3 + 3 x 2
OD. 9 X5
What is the area of the figure? Enter the answer in the box.
Answer:
C. 9×3 + 3×2
The area of the figure is 33 in.
Step-by-step explanation:
Area is:9x5
Hope i could help u
How much water do you add to make 75% sugar syrup using 99g sugar?
Answer: You will need 33ml of water added
Step-by-step explanation:
Which of the following pairs show(s) two congruent triangles?
Answer:
B only
Step-by-step explanation:
In A and in C, only the angles of one triangle are congruent to the corresponding angles of the other triangle. That proves similar triangles but not necessarily congruent triangles.
Definition of congruent triangles:
Two triangle are congruent if all angles of one triangle are congruent to all corresponding angles of the other triangle and all sides of one triangle are congruent to all corresponding sides of the other triangle.
That happens only with the triangles in B.
Answer: B only
Out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.
What are congruent triangles?
Two triangles are said to be congruent if they are exactly the same i.e. corresponding sides, as well as corresponding angles, are equal.
A)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.
B)Triangles shown are congruent because corresponding sides, as well as corresponding angles, are equal.
C)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.
Hence, out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.
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1. Bella and Caiden each bought a 12-oz can of soda. They are drinking their sodas at the
rates shown. Who is drinking their soda the fastest?
BELLA
CAIDEN
Min
Oz
0
12.
Ounces
20
18
16
14
12
10
8
6
4
2
2
3
4.5
4
2.
1 2 3 4 5 6 7 8 9 10
Minutes
Answer:
The question is incorrect. Please use a table or a diagram.
Joe determined the mass of 2 boxes using a scale. Since the cost of each box is the same, Joe would like to choose the box with the larger mass. Box A Box B 32.012 kg 32.02 kg Place the correct symbol between the 2 masses to help Joe decide. 32.012 Response area 32.02
Answer:
32.012 kg < 32.02 kg
Step-by-step explanation:
32.012 kg < 32.02 kg
Question 1 of 5
Given a sphere with a diameter of 6 cm, find its volume to the nearest whole
number.
A. 113 cm3
B. 37 cm3
C. 85 cm3
D. 905 cm3
Answer:
A. 113cm³
Step-by-step explanation:
Finding the volume with diameter,
[tex]v = \frac{1}{6 }\pi {d}^{3} [/tex]
[tex]v = \frac{1}{6} \times \frac{22}{7} \times {6}^{3} [/tex]
[tex]v = 113.14cm^{3} [/tex]
to the nearest whole number
[tex]v = 113 {cm}^{3} [/tex]
Answer:
113 cm^3
Step-by-step explanation:
I Just took the quiz:)