The results of a poll show that between 43% and 55% of the population support an increase in sales tax to pay for a new sports stadium.
a) What is the point estimate?
b) What is the margin of error?
Answers:
a) The point estimate is 49%b) The margin of error is 6%==========================================================
Explanation:
The point estimate is the midpoint of the two ends. We add up the endpoints and divide by 2 to get the midpoint. We have p = 0.43 and q = 0.55, so we get the midpoint (p+q)/2 = (0.43+0.55)/2 = 0.98/2 = 0.49, then this converts to 49%. Meaning 49% is exactly at the midway point of 43% and 55%
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The margin of error is the distance from the midpoint to either endpoint. If we try to aim for 49%, but have some error, then we have an error of 55-49 = 6%, or we could say 49-43 = 6%; either way the margin of error is 6 percentage points.
The formula we can use is (q-p)/2 where p and q are the left and right endpoints of the interval. So in this case, we'd have,
(q-p)/2 = (0.55-0.43)/2 = 0.12/2 = 0.06 = 6% margin of error
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Side note: We can think of it as if 49 is the center and 6 is the radius of the circle. We want to hit the center of the circle, but we have an error of 6 (meaning that's how far we could go in either direction).
Enter the slope-intercept equation of the line shown below. Is it y=-3x+3 or is it y=3x+3??!!
Answer: The line is y=-3x+3
Step-by-step explanation:
Its decreasing by 3 shown in the line so it would -3 and the equation for the line would be y=-3x+3 as you said.
A ski slope is 250 yards long with a vertical drop of 100 yards. Find the angle of depression of the
slope.
Step-by-step explanation:
would you still like me to help you with this question
Angle of depression of the slope is 24. degree.
Angle of depression is equal to the angle of elevation.
sine = the vertical drop/ the ski slope
sine = 100/250
= 2/5 = 0.4.
sine - 1 (0.4) = 23.57 which is about 24 degree.
Therefore, the correct angle of depression of the slope is approximately 24 degree.
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Answer:
Your value of z is 71 degrees. The value of x is 11.
Step-by-step explanation:
You can determine the value of z by knowing that z and the 71 angle are vertical angles. Vertical angles are congruent to each other. We know that the x angle and the 71 angle are supplementary, or that they equal 180. So, set up the equations, and solve for x. :
[tex]180=71+(9x+10)\\180=81+9x\\99=9x\\x=11\\[/tex]
please help!! I'm really stuck on this
Answer:
V = 5cm * 2 cm * 8 cm
Step-by-step explanation:
Volume is the length times the width times the height
V = l*w*h
V = 5cm * 2 cm * 8 cm
in scientific notation, 6840 is
Please help ASAP ty!
Answer:
C. 70
Step-by-step explanation:
5(x+9)5(5+9)25+4570stay safe healthy and happy..Step-by-step explanation:
● 5(x+9)
● 5 (5)
● 5×9=45
● 5×5=25
● 45+25=70
■C.70indentify the center and radius: (x + 4)2 + (y + 5)2 = 64
please helppp!!
Answer:
4th option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 4)² + (y + 5)² = 64 ← is in standard form
with h = - 4, k = - 5 and r = [tex]\sqrt{64}[/tex] = 8
centre = (- 4, - 5) and r = 8
What is equivalent to 5 to the third power?
Answer:
125
Step-by-step explanation:
5 to the third power is 125
hey! i’ll give brainliest help thanks
Answer:
to one's liking; pleasing: agreeable manners;an agreeable sensation. willing or ready to agree or consent: Are you agreeable to my plans for Saturday i would go for A ore BStep-by-step explanation:
Which ratios form a proportion?
3/4 and 9/16
2/5 and 5/2
2/3 and 8/12
1/6 and 3/8
Answer:
2/3 and 8/12
hope this helps
have a good day :)
Step-by-step explanation:
what should be subtracted from 3x to Gate 3 X - 2y
Answer:
3x-2y
Step-by-step explanation:
2y must be subracted
Please help fast I’d really appreciate it
Step-by-step explanation:
4) lower, greater
5) The precision of the instrument would be 0.1 cm
5. How many 1/2 cups can be filled with 500 milliliters of liquid?
Answer:4
Step-by-step explanation:
1/2 cups equal 120 ml
so we have 500 ml and in order to find how many 1/2 cup can you find 500ml
ans = 500/120 = 4.16666666667 now we will try to convert it into a whole number which equal to four (4)
What volume of coppr ( density 8.96g/cm3)would be needed to balance a 2.28 cm3sample of lead (density 11.4g/cm30 on a two-pan laboratory balance
Answer:
2.9 cm³
Step-by-step explanation:
Note: For the copper and the lead to balance, they must have thesame mass.
Applying,
D' = m'/V.................... Equation 1
Where D' = density of the lead, m' = mass of the lead, V = Volume of the lead.
make m' the subject of the equation
m' = D'V................ Equation 2
From the question,
Given: D' = 11.4 g/cm³, V = 2.28 cm³
Substitute these values into equation 2
m' = (11.4×2.28)
m' = 25.992 g
Similarly,
for copper,
D = m/V............... Equation 3
Where D = density of copper, m = mass of copper, V = volume of copper.
make V the subject of the equation
V = m/D.............. Equation 4
where, m = m' = 25.992 g
Given: D = 8.96 g/cm³
Substitute these values into equation 4
V = 25.992/8.96
V = 2.9 cm³
Which question is a statistical question?
A. How tall is the oak tree?
B. How much did the tree grow in one year?
C. What are the heights of the oak trees in the schoolyard?
D. What is the difference in height between the oak tree and the pine tree?
The cost of buying salad from a salad bar is at least $4.50 per pound. Which inequality represents the price per pound of salad?
x ≥ 4.50
x = 4.50
x < 4.50
x > 4.50
Answer: x ≥ 4.50
Because the cost is at least $4.50 per pound
stuck on this question, was due yesterday!!!!
Answer:
c
all the other numbers are too high
A bag contains 11 tiles, one for each of the letters in the word BLUEBERRIES. You randomly choose a tile.
Find the probability that you choose a tile with the letter R. Write as a reduced fraction (numerator/denominator).
PLEASE HELP!
Answer:
2/11
Step-by-step explanation:
There are 11 tiles and 2 of the have R's on them, so it is 2 out of 11, or 2/11
11) What is the perimeter of the object *
15 mm
7 mm
12 mm
8 mm
42 mm
O
70 mm
65 mm
47 mm
Answer:
[tex]perimeter = 15 + 7 + 8 + (12 - 8) + (15 - 8) + 12 \\ = 53 \: mm[/tex]
The perimeter of the figure is 70 mm.
Option B is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
The figure has two rectangles.
Bigger rectangle.
Length = 15 mm
Width = 12 mm
Smaller rectangle.
Length = 8 mm
Width = (12 - 7) mm = 5 mm
Now,
The perimeter of the figure.
= 12 + 15 + 7 + 8 + 5 + (15 + 8)
= 12 + 15 + 7 + 8 + 5 + 23
= 70 mm
Thus,
The perimeter of the figure is 70 mm.
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Courtney and Alan are conducting an experiment Every time Courtney a fair two-sided coinAlan rolls a six-sided die. What is the probability that the coin will land on heads and the die will land on 2?
A- Independent
B- dependent
C- mutually exclusive
D- inclusive
Answer:
The answer is C
Step-by-step explanation:
help 20 points i need it for now x_x
Answer:
A
Step-by-step explanation:
cuz im smart
Identify the y-intercept of the line.
y=-1/2 +3x
Answer: the y-intercept is 1/2
What is the result when the Number 90 is decreased by7.1% Round your answer to the nearest tenth 
Answer:
83.61
Step-by-step explanation:
90 decreased by 7.1% = 83.61
Mark my answer as brainliest please.
Answer:
answer =83.61
Step-by-step explanation:
90( 1 - 7.1 / 100 )
lets break it down
step 1: 7.1 / 100 = 0.071
step 2: 1 - 0.071 = 0.929
step 3: 90 x 0.929 = 83.61
final answer = 83.61
Find the area of the shaded region.
Answer:
3.315
Step-by-step explanation:
[tex] \frac{1}{2} \times 1.7 \times 3.9 = 3.315[/tex]
PLZZ HELP.... I NEED MY GRADE TO GO UP BC ITS ALMOST MY BIRTDAY AND I CANNOT FAIL!! PLLLLLLLSSSSSSS WILL MARK Brainliest
Last Sunday Lily and Maddie went to Sarah’s Sweet Shop and purchased one cupcake and one brownie. Their bill was $4.50.
The next day they brought their friend Jessica and purchased 3 cupcakes and one brownie. This time their bill was $9.50.
Let x represent the price of each cupcake.
Let y represent the price of each brownie.
2.The first equation in the system is: x+y=4.50x+y=4.50
3.The second equation in the system is : 3x + y = 9.50
4.Solve the system from question 3 to find the price per cupcake.
5.Find the price per brownie.
6.Find the total cost to purchase 4 cupcakes and 4 brownies from the shop.
Answer:
Each cupcake cost $2.50 and each brownie cost $2.00
Step-by-step explanation:
Let x represent the price of each cupcake and let y represent the price of each brownie.
Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:
x + y = 4.50 (1)
Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:
3x + y = 9.50 (2)
To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:
2x = 5
x = $2.50
Put x = $2.50 in equation (1):
2.50 + y = 4.50
y = $2.00
Therefore each cupcake cost $2.50 and each brownie cost $2.00
In ΔXYZ, ∠X=40° and ∠Y=45°. ∠XWZ=90° and XY=12. Find the length of XW to the nearest integer
Answer:
7
Step-by-step explanation:
7
Determine how the two triangles are congruent
please fill in all the circles
Then can you answer if its,
SSS
SAS
AAS
ASA
?
Thank you!
Answer:
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.
Please Help asap :((
A circle is represented by the equation below:
(x - 9)2 + (y + 8)2 = 16
Which statement is true? (6 points)
The circle is centered at (-9, 8) and has a radius of 8.
O The circle is centered at (9,-8) and has a radius of 8.
O The circle is centered at (9,-8) and has a diameter of 8.
The circle is centered at (-9, 8) and has a diameter of 8.
Answer:
The circle is centered at (9, -8) and diameter 8.
Step-by-step explanation:
(x-h)^2 +(y-k)^2 =r^2
(x-9)^2+(y+8)^2=4^2
Center: (h,k) = (9,-8)
Radius: r=4
The circle is centered at (9, -8) and radius is 4 or diameter 8.
What is another expression to show 9/2
Answer:
9 ÷ 2
Step-by-step explanation:
or draw that small house thing over the 9 an place 2 to the left of it.