The probability computed shows that the point estimate of the population is 6.2%.
How to calculate the probability?a. The point estimate of the population will be calculated thus:
= 62% = 62/100 = 0.62
b. The margin of error of the population will be:
= z value × [✓0.62 × ✓0.38 / ✓200]
= 1.96 × (0.78 × 0.61 / 14.14)
= 0.0672
Therefore, the interval estimate is 6.72%.
c. The margin of error of the population proportion is found using half the range will be:
= [0.76 - 0.46] /2
= 0.30/2
= 0.15
d. The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.
Learn more about probability on:
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40% of 400- how to solve please (thanks
Step-by-step explanation:
What is 40% of 400?
Convert the problem to an equation using the percentage formula: P% * X = YP is 40%, X is 400, so the equation is 40% * 400 = YConvert 40% to a decimal by removing the percent sign and dividing by 100:40/100 = 0.4Substitute 0.10 for 10% in the equation: 40% * 400 = Y becomes 0.4 * 400 = YDo the math: 0.4 * 400 = 160Y = 160So 10% of 150 is 160Double check your answer with the original question: What is 40% of 400? Multiply 0.4 * 400 = 160(3.1×10^7)(5.8×10^−4) in scientific notation
Answer:
[tex]\filldraw (10,0) rectangle ++(3pt,3pt);[/tex]
On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the center of dilation. What is the length of the resulting segment ?
A-80
B-100
C-112
D-125
The length of the dilated line segment is 80 units.
What is dilation?Dilation is the increase or decrease in the size of a figure or object.
The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).
The distance between points (8, 32) and (56, 96) is:
[tex]Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units[/tex]
The length of the dilated line segment is 80 units.
Find out more on dilation at: https://brainly.com/question/10253650
Use the definition of continuity and the properties of limits to show that the function k(x)= √8−x2 2x2−5 is continuous at x = -2
A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm
Answer:320 cubic cm
Step-by-step explanation: if you multiply 16x20m you get 320 cm
Deondre drops a nickel from a balcony that
is 125 meters in the air. The function
y = -512 + 125 can be used to represent y, the
height of the coin in meters after t seconds.
Write and solve an equation to find the time it
will take for the coin to hit the ground.
The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function
It will take 5 seconds for the coin to hit the ground
How to determine the time the nickel hits the ground?
The function is given as:
[tex]y = -5t^2 + 125[/tex]
When the nickel hits the ground, the value of the function is:
y = 0
So, we have:
[tex]-5t^2 + 125 = 0[/tex]
Subtract 125 from both sides
[tex]-5t^2 =- 125[/tex]
Divide both sides by -5
[tex]t^2 =25[/tex]
Take the square root of both sides
[tex]t = 5[/tex]
Hence, it will take 5 seconds for the coin to hit the ground
Read more about quadratic functions at:
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1. D=5.9 ft.
calculate the circumference of the circle.
2. D=3.2 ft.
calculate the circumference of the circle.
3. D= 6.1 ft.
calculate the circumference of the circle.
4. R= 3.7 m.
Calculate the circumference of the circle.
5. R=6.2
Calculate the circumference of the circle.
6. R=5.1 Ft.
Calculate the circumference of the circle.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution ~
As we know, we can calculate the circumference of a circle in terms of its diameter as :
[tex]\qquad \sf \dashrightarrow \:c = \pi d[/tex]
where, c = circumference and d = diameter
And also, circumference of circle is terms of radius (r) is :
[tex]\qquad \sf \dashrightarrow \:c = 2\pi r[/tex]
Now, let's move on to questions ~
First[tex]\qquad \sf \dashrightarrow \:3.14 \times 5.9 [/tex]
[tex]\qquad \sf \dashrightarrow \: \approx18.53 \: ft[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Second[tex]\qquad \sf \dashrightarrow \:3.14 \times 3.2[/tex][tex] \qquad \sf \dashrightarrow \: \approx10.048 \: ft[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Third[tex]\qquad \sf \dashrightarrow \:3.14 \times 6.1[/tex]
[tex]\qquad \sf \dashrightarrow \: \approx19.15 \: ft[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Fourth[tex]\qquad \sf \dashrightarrow \:2×3.14 \times 3.7[/tex]
[tex]\qquad \sf \dashrightarrow \: \approx2×11.62 \: m[/tex]
[tex]\qquad \sf \dashrightarrow \: \approx23.24 \: m[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Fifth[tex]\qquad \sf \dashrightarrow \:2×3.14 \times 6.2[/tex]
[tex]\qquad \sf \dashrightarrow \: \approx2× 19.47 \: units[/tex]
[tex]\qquad \sf \dashrightarrow \: \approx38.94 \: m[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Sixth[tex]\qquad \sf \dashrightarrow \:2×3.14 \times 5.1[/tex]
[tex]\qquad \sf \dashrightarrow \: \approx2×16.01 \: ft[/tex]
[tex]\qquad \sf \dashrightarrow \: \approx \: 32.02m[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
HELP PLEASE
30 POINTS + BRAINLYEST!!!!!
(no links please)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use pi = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Cone:
radius r = 4 inches
height h = 18 inches
volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³
Cylinder:
r = 4 inches
h = 3 inches
volume = πr²h = (3.14)(4²)(3) = 904.32 cm³
Volume of cylinder is three times the volume of cone
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
Can someone please help me with this
Definition of a trapezoid: a quadrilateral with one pair of parallel sides
Thus PQRS is a trapezium because Line PQ is parallel to line SR
Hope that helps!
Select the set of equations that is NOT equivalent to 8k = 20
PLEASE ANSWER ASAP.
A snowball has a diameter of 6 cm.
What is the volume of the snowball?
How long would it take a snowball to melt if it melts at a rate of 1.8 cubic centimeters per minute?
Answer:
Volume: 37.7cm3
It will melt in 21 minutes.
Step-by-step explanation:
Volume of a sphere: 4/3 x pi x r^2
4/3 X pi x 3^2 = 37.7cm3
37.7/1.8=20.943 minutes
Please help will give brainlest! locks in 30 min!
Answer:
1
Step-by-step explanation:
[tex] \tan( \frac{5\pi}{4} ) \times \frac{\pi}{180} = 1.19[/tex]
The question wants in radian, not in degrees since using the unit circle. Hope this helps
Answer:
a) 1
Step-by-step explanation:
Tan 5pi/4: 1
Tan (-5pi/4): -1
Tan 5pi/4 in degrees: tan (225°)
») b. The area of the parallelogram is 65 ft2. What is its height? mm th 13 ft 13
Answer:
Five feet
Step-by-step explanation:
H = A ÷ L
H = 65 ÷ 13
H = 5 ft
A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangle has dimensions of 9 inches×10 inches. What is the area of the figure?
Group of answer choices
132.5 in²
133.5
131.5
130.5
[tex]\sf are a \ of \ triangle : \frac{1}{2}*base *height[/tex]
[tex]\sf are a \ of \ rectangle : Length * Width[/tex]
total area :
[tex]\sf are a \ of \ rectangle + area \ of \ triangle[/tex]
[tex]\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10[/tex]
[tex]\rightarrow \sf 132.5 \ in^2[/tex]
malamud and mohammed bought the same eight CD's but mohammed bought used CD's so each was half the price malamud paid. if the mean price malamud paid in $16 and the median is $16.50 , what are the mean and median prices for mohammed's CD's?
Answer: $8 , $8.25
Step-by-step explanation: It says “ half the price ” so half of 16 is ( 8 ) and half of 16.50 is ( 8.25 )
6x + 4 - 8x + 9(4 - x)
-
Answer:
6x - 8x + 4 + 36 - 9x
= 40 - 11x
use the terms 8 , 3x , 3/2 and 4x to complete the expression below so that’s is equivalent to 9x - 12
Answer:
A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).
what is thecentre and diameter of the circle with equation
[tex]x {2} + {y2} - 2y + 1 = 16[/tex]
Answer:
The exact value of sin 22.5° using the half-angle formula is √(2 - √2) / 2 or 0.38
Step-by-step explanation:
Let us consider θ = 22.5 º
Therefore, sin2θ = [(1− cos 2θ) / 2] -------(1)
If θ = 22.5° then 2θ is 45°.
On substituting the value of θ in equation (1), we get
sin2 22.5° = [(1− cos (2 × 22.5°)) / 2]
sin2 22.5° = [(1− cos 45°) / 2]
sin2 22.5°= [ [1 - (1 / √2)] / 2 ]
sin2 22.5°= (2 - √2) / 4 [ on simplifying the above RHS value ]
sin 22.5° = [√(2 - √2) / 2]
After substituting the value of √2 as 1.414 in the above equation, we get
sin 22.5°= 0.38
Hello I'm just here to say if a question asks "circle all of the expressions that are equivalent to some type of math question do i pick more than one?
Manny does not eat 4/9 of his orange at lunch. Josh does not 5/9 of his orange at lunch. How much orange do Manny and Josh have left over?
The amount of orange that Manny and Josh have leftover after eating lunch is 1.
What are fractions?A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below
How much orange is leftover?Oranges Manny has left = 1 - 4/9 = 5/9
Oranges Josh has left = 1 - 5/9 = 4/9
Oranges they both have left = 5/9 + 4/9 = 1
To learn more about subtraction of fractions, please check: https://brainly.com/question/915789
which of the following fractions is NOT equivalent to the others?
A. 24/36
B. 8/12
C. 12/16
D. 4/6
Answer:
C
Step-by-step explanation:
Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.
A. 24/36 = 2/3 (LCF of 12)
B. 8/12 = 2/3 (LCF of 4)
C. 12/16 = 3/4 (LCF of 4)
D. 4/6 = 2/3 (LCF of 2)
Answer:
C
Step-by-step explanation:
if you convert all of the fractions into decimal form the only answer that is not .6667 is c
Solve the equation k^2-6k=11 by completing the square
Answer:
k = ±2√5 + 3
Step-by-step explanation:
k² - 6k + 9 = 11 + 9(k - 3)² = 20k - 3 = √20k - 3 = ±2√5k = ±2√5 + 3[tex]k=3+2\sqrt5\ or\ k=3-2\sqrt5[/tex]
Step-by-step explanation:
[tex]k^2-6k=11[/tex]
_______________________________________________
Add one term in order to complete the square[tex]k^2-6k+(6\times\frac{1}{2})^2=11+(6\times\frac{1}{2})^2[/tex]
________________________________________________
Calculate[tex]k^2-6k+3^2=11+3^2[/tex]
_________________________________________________
Factor the expression using [tex]a^2\pm 2ab+b^2=(a\pm b)^2[/tex][tex](k-3)^2=11+3^2[/tex]
__________________________________________________
Calculate the power[tex](k-3)^2=11+9[/tex]
___________________________________________________
Calculate the sum or difference[tex](k-3)^2=20[/tex]
______________________________________________________
Split into two equations[tex]k-3=\sqrt{20}\ or\ k-3=-\sqrt{20}[/tex]
________________________________________________________
Move variables to the left side of the equation:[tex](k-3=\sqrt{20})[/tex]
[tex]k=\sqrt{20}+3\\ k=2\sqrt{5}+3[/tex]
____________________________________________________
Move variables to the left side of the equation:[tex](k-3=-\sqrt{20})[/tex]
[tex]k=\sqrt{20}+3\\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
So far:[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
Find the union of the solutions[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
I hope this helps you
:)
A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?
Answer:
34? Idek
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
The area of a circular fountain is 121π square feet.
What is the diameter of the fountain?
Answer:
22 feet
Step-by-step explanation:
The area of a circle is π · r².
So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.
Divide both sides by π to get r² = 121
Then, you take the square root of both sides to leave r = 11.
The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.
The diameter is 22 feet long.
someone explain how to do this please
A: square root of 96
B: square root of 48
C:square root of 16
D:8
Answer:
B. Square root of 48
Step-by-step explanation:
Using Pythagorean theorem. A^2 = B^2 + C^2
4^2 + x^2 = 8^2
16 + x^2 = 64
x^2 = 48
x = square root of 48
HELPPPPPPP URGENT :L
Answer:
17.5
Step-by-step explanation:
The area for a triangle is (base*height)/2 this means
(5*7)/2 = 17.5 units^2
Answer:
Step-by-step explanation:
base = b = 5 units
height = h = 7 units
[tex]\bf \boxed{\text{Area of triangle = $\dfrac{1}{2}bh$}}[/tex]
[tex]=\dfrac{1}{2}*5*7\\\\\\=\dfrac{35}{2}\\\\\\= 17.5 \ square \ units[/tex]
Can someone help with me
Answer:
yes your answer is 45 degree
Answer:
105°
Step-by-step explanation:
There 360° in a circle, so...
360°-150°-105°=105°
check: 150°+105°+105°= 360°
[Answer] 105°
Whats the equation of a circle with the center point of 1, -1 and a radius of. 5
Step-by-step explanation:
For this problem, we need to use the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.
This gives us that the equation of the circle is (x-1)^2 + (y-1)^2 = 25.
what is the area of this figure?
Answer:
234 square millimeters
Step-by-step explanation:
You want the area of the irregular polygon shown.
CompositionThere are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.
Triangle areaThe triangle has a base of 12 mm and a height of 13 mm. Its area is ...
A = 1/2bh
A = 1/2(12 mm)(13 mm) = 78 mm²
Rectangle areaThe upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...
A = LW
A = (14 mm)(8 mm) = 112 mm²
The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...
A = (4 mm)(11 mm) = 44 mm²
Total areaThe area of the figure is the sum of the areas of its parts:
total area = triangle area + upper rectangle + lower rectangle
total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²
The area of the figure is 234 square millimeters.
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