Answer:
Step-by-step explanation:
Remark
The law of chord intersection is that each chord from one point on the circumference to the intersect point when multiplied by the left over amount of the chord = the same thing done to the other chord. It's easier to understand the formula used to solve this problem than it is to work through the definition.
Equation
x*4 = 14 * 2
Explanation
Take x from the chord's end on the circumference to the intersect point and four's length from the intersect point to the circumference. Multiply them
Do the same thing with the other chord.
Solution
4x = 28 Divide by 4
x = 28/4
x = 7
In an ecological study, the sampling mean proportion is 0.28 and the sample size is 50. What is the margin of error with a confidence level of 95%?
The margin of error is 0.1245 (approx) with a confidence level of 95%.
What is margin of error ?Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.
Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
where [tex]z^{*}[/tex] is the value for confidence level or quantile,
p is the sampling mean proportion and n is the sample size.
How to find margin of error in given problem ?Here, The sampling mean proportion(p)= 0.28
The sample size(n)= 50
Confidence level = 95%
Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96
∴ Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]
= [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]
= [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]
= [tex]1.96\sqrt{0.004032}[/tex]
= [tex]1.96[/tex]×[tex]0.0635[/tex]
= [tex]0.1245[/tex] (approx)
So, The margin of error is 0.1245 (approx).
Learn more about margin of error here :
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I told you I was not smart :[
Answer:
Attached below
Step-by-step explanation:
Trapezoid: Opposite side are parallel in trapezium.
So, opposite sides are parallel in all given quadrilateral except second.
Therefore, attached figure is not trapezium.
Answer:
.........
Step-by-step explanation:
Someone helpp plzzzzzz
The students at Riverview High School were asked to vote on their preference for new school colors. The school principal was interested to see how the student-athletes might vote differently from the students who are not athletes. The table shows the results of the vote. What percent of the student-athletes voted for red and gold as the new school colors? Round your answer to the nearest whole percent. 27% 42% 51% 67%
Answer: %27
Step-by-step explanation: 90/338 x/100
90x100=9000
9000/338=%27
The hall is a rectangle that measures 4m long by 90 cm wide what is the area
Step-by-step explanation:
the answer is 36000 cm2
please mark the brainliest
┻━┻︵└(՞▽՞ └)
The equation of a circle is x2 + y2 + 2x - 10y - 38 = 0. What are the coordinates of the
center and the length of the radius of the circle?
Answer:
Centre = (-1, 5)
radius = 8units
Explanation
The standard form of the equation of a circle is expressed as
x^2+y^2+2gx+2fy+C = 0
Center = (-g, -f)
radius = √g²+f²-C
Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.
On comparing
2gx = 2x
2g = 2
g = 2/2
g = 1
2fy = -10y
2f =-10
f =-5
Centre = (-1, -(-5)) = (-1, 5)
radius = √1²+5²-(-38)
radius = √1+25+38
radius = √64
radius = 8units
Which describes the correlation shown in the scatterplot
Given the triangle below, what is the measure of x to the nearest foot?
Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
Simplify 45÷2×8-12+42
Please show working
Answer:
210
Step-by-step explanation:
Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)
45 ÷ 2 = 22.5
22.5 × 8 = 180
180 - 12 = 168
168 + 42 = 210
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Have a great summer :)
What is the measure, in degrees of A?
Answer:
[tex] = \frac{1}{2} \times 134 \degree \\ = 67 \degree[/tex]
Which expression is equivalent to Cube root of 125 x Superscript 6 Baseline y Superscript 15 Baseline z cubed?
5x3y3z
5x2y5z
25x2y3z
25x2y5z
Answer:
answer is B
Step-by-step explanation:
Answer:
it really is B.5x2y5z
Step-by-step explanation:
got it right on edge
Which equation could be used to find x in AABC? *
A
10
320
B
Answer:
Step-by-step explanation:
x is the length of the side opposite the reference angle of 32, and 10 is the side length adjacent to the reference angle. This satisfies the tangent ratio where
[tex]tan32=\frac{x}{10}[/tex] and solving for x:
x = 10tan32
Which line of best fit is the best choice for the data given below?
SOMEONE HELP PLS IM STUCKKKK
Answer:
111 =x
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
29+82 = x
111 =x
Answer:
Step-by-step explanation:
Since all the angles in a triangle add up to 180, you would need to add up the 2 values you have to get the third:
∠3 = 180-82-29
= 69 degrees
Now you have to subtract this value from 180 because a straight line is 180 degrees:
∠x = 180-69
∠x = 111°
Hope this helps!
The volume of a cuboid is 462cm3. The length is 11cm and the width is 60mm. Work out the height of the cuboid
Answer:
step-by-step explanation: 1cm is equal to 10mm
The volume of a cuboid is length ×breadth×height
We start by converting 60 mm into cm which will be 6cm
Solution :
462cm3=11cm×6cm
462cm3/66=66cm/66
The final answer will be 7cm
Therefore the height is 7cm
which expression is equivalent to 4(3x+2)-5x
A = 7x+2
B = 7x+8
C+12x+2
D=2x+8
Answer:
B) 7x + 8
Step-by-step explanation:
distribute 4 first to get:
12x + 8 - 5x
combine like terms to get:
7x + 8
6
a
4
+
5
b
3
when
a
=
3
and
b
=
−
3
Answer:
27
Step-by-step explanation:
4a + 5b
12 + 15
=27
Find the distance between the given points. Round to the nearest tenth.
Answer:
(7 , -3)
Step-by-step explanation:
The distance between A and B is 7 squares to the right and 3 squares down
In base 2, what is the value of 1011₂ + 10111₂
1011₂ + 10111₂
= (1000₂ + 10₂ + 1₂) + (10000₂ + 100₂ + 10₂ + 1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 2 (1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 10₂
= 10000₂ + 1000₂ + 100₂ + 100₂ + 10₂
= 10000₂ + 1000₂ + 2 (100₂) + 10₂
= 10000₂ + 1000₂ + 1000₂ + 10₂
= 10000₂ + 2 (1000₂) + 10₂
= 10000₂ + 10000₂ + 10₂
= 2 (10000₂) + 10₂
= 100000₂ + 10₂
= 100010₂
PLZ HELP I will give brainliest :)))
Answer:
The answer should be A.
Step-by-step explanation:
Simplify (-4a^5b) (2a^2b)
Answer:
[tex]-8a^{7b}[/tex]
Step-by-step explanation:
[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]
[tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
How much of the 15% alcohol solution should Bruce use?
Answer:
10% = 30 15% = 20
Step-by-step explanation:
_
Need help with figuring out this zingoes problem asap, willing to give brainliest!
Answer:
The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes
Step-by-step explanation:
As far as I can tell, all the correct examples are
1) Symmetrical
2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)
The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line
(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)
Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the basketballs have enough air in them. Given that a properly inflated basketball measures 8.8 inches across, what is the total volume of air inside six of Jake’s basketballs? Assume that the wall of each ball is infinitely thin.
Answer:
The volume is 2140.98 inches
Hope this helped!
Answer:
681.47 π cubic inches
Step-by-step explanation:
Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
541
9
Answer:
12.4
Step-by-step explanation:
using x= 9tan54 the results is 12.38743728 but 12.4 to the nearest tenth
OASIIO - II - TWO WAY POWER CIENTIFIC CALCULATOR S-A.AKR 국 2401 . 0
Answer:
I can't understand !!!!!!!!!
What is the exact value of the trigonometric ratio of tan-240 degrees?
What is the length of the hypotenuse of the right triangle in the diagram?
Answer:
it's hypotenuse will be -8
Help me please ASAP tysm
Answer:
2/3 ft
Step-by-step explanation:
area of triangle =base*height/2
2/5=base*6/5/2
2/5 *2 =base * 6/5
4/5 =base*6/5
4/5÷6/5=base
4/5 * 5/6=base
20/30=base
2/3=base
therefore base=2/3 ft
pls help me with this maths equation
Answer:
Step-by-step explanation:
given :
y = 120 degree
z = 57 degree
angle x = ?
first lets find angle c in triangle BDC
angle c + z = y (sum of two interior opposite angle is equal to the exterior angle formed)angle C + 57 = 120
angle C = 120 -57
angle C = 63 degree
Now lets find angle B in triangle BDC
angle B + angle C + z = 180 degree (sum of interior angles of a triangle)
angle B + 63 + 57 = 180
angle B + 120 = 180
angle B = 180 - 120
angle B = 60 degree
now for angle x
angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)
60 + 57 = x
117 = x