Answer: Choice B
It is not a valid sample because it is not a random sample of the population.
Explanation:
The researcher should have randomly selected the participants, either by picking names out of a hat, using a random number table, or some kind of computer software to pick the names. Letting the first 8 people form the sample is very likely not representative of the population at large. We have a lot of bias here. Therefore, this is not a valid sample.
Write the inequality given in the diagram below
Answer:
x ≥ - 1
Step-by-step explanation:
the solid circle above - 1 on the number line indicates that x can equal - 1
the arrow points right indicating x is greater than or equal to - 1 , that is
x ≥ - 1
PLS I NEED HELP QWQ
Answer:
∠APB = 106°
Step-by-step explanation:
Method 1: Focus on Triangle APB
Every angle of equilateral triangle ABC is 60°
∠BAP = 60°
∠ABP = 60° - 46° = 14°
Total degrees in one triangle is 180°
∠APB = 180° - 60° - 14° = 106°
Method 2: Exterior Angle Theorm
∠APB = ∠PBC + ∠PCB
∠APB = 46° + 60°
∠APB = 106°
Mr Thando received a statement of water usage from BCM. According to the statement he has to pay a sum of R281,27incl VAT for March consumption. The statement does not reflect the amount of water used. WATER in kilolitres Tariffs in R/kl excl VAT 0-610 Free +6 - 14k1 R6.36 +14 20kl R7.98 +20 - 30k! R10,05 +30 - 45kl R12,25 +45 R15.49 Mr Thando is so confused and as a result he consulted you to help him to calculate the number of kilolitres of water he has been charged for Use the Table above that was shown in the statement for your calculations
It can be estimated that the total amount of water that Mr. Thando used is 40 Kiloliters. See the arithmetic calculation/ explanation below and the reconstructed table attached.
What is the calculation of Mr. Thando's Water Usage?The approximate amount of water that he has been charged for will be given as follows:
The maximum fee for Band A + Maximum fee for Band B + Maximum fee for Band C.
Which is: (0) + (6.36 *14) + (7.98*20) = R248.64
Recall that the total amount he was charged is R281.27.
Hence, because the question does not include the percentage of VAT payable, and the referenced table is unavailable, we are forced to assume that the difference between the amount paid and our calculations above is the VAT.
This figure (that VAT) is: R281.27 - R248.64 = R32.63
Hence, the total amount of water used by Mr. Thando is: 6 + 14 + 20 = 40Kl
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solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answer:
answer should be 4.3
Step-by-step explanation:
8.9^(2)-7.8^(2)
=18.37
\sqrt(18.37)
=4.28602379
and round to the nearest tenths should give you 4.3
Can someone pls help me ASAPP
the answer is 48 square 72
Step-by-step explanation:
72+46=48square and 48square x 0
Which equation can pair with x 2y = 5 to create an inconsistent system? 2x 4y = 3 5x 2y = 3 6x 12y = 30 3x 4y = 8
The equation that can pair with x + 2y = 5 to generate an inconsistent system is given by:
2x + 4y = 3.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
A inconsistent system is a system that has no solution, that is, when the coefficients of x and y are multiplies, but the result is not. Hence, the option that gives an inconsistent system is given by:
2x + 4y = 3.
As when we try to solve the system, we would end up with the following situation:
[tex]0x = c, c \neq 0[/tex].
Which is impossible.
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What is the product? assume x greater-than-or-equal-to 0 (startroot 3 x endroot startroot 5 endroot) (startroot 15 x endroot 2 startroot 30 endroot)
The product of the expression assuming x greater-than-or-equal-to 0 is; (30x√30).
What is the product of the expression?The product of the expression assuming the fact that x greater-than-or-equal-to 0 can be evaluated as follows;
(√(3x) × √5) (√15x × 2√30)
(√15x × 2√450x)
(2√6,750x²)
(30x√30)
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Find the arc length and sectors perimeter of an 85 degree arc of a circle with a radius of 4ft
Can you please help me at
a=3/5 b=4/5 c=?
Answer:
a=3/5 , b=4/5. ,.
c=5/5
c=5/5
=1
The half-life of a radioactive kind of praseodymium is 17 minutes. If you start with 56 grams of it, how much will be left after 34 minutes?
grams
Answer:
14 gm
Step-by-step explanation:
34 minutes is TWO half lives 1/2 * 1/2 = 1/4 will be left
1/4 * 56 = 14 gm
HELP!!! like plsssss
Answer:
68 cubic feet
Step-by-step explanation:
Split the object into 2 so you have 2 squares. Now do 2x4x6=48cbft. Then do 5x2x2=20cbft. Then just add them together! 48+20=68!
Hope this helps! ;-)
What is the measure (in radians) of central angle in the circle below?
15 cm,
3 cm
0
radians
Answer:
∅ = 5 radians
Step-by-step explanation:
[tex]Arc.Length=2\pi r(\frac{Ctrl.Angle}{360} )[/tex]
[tex]Ctrl.Angle=\frac{360(Arc.length)}{2\pi r}[/tex]
∅ [tex]=\frac{(360)(15)}{2\pi (3)}[/tex]
∅ = 286.48°
In radians:
∅ = (286.48)(3.1416)/180 = 5 radians
Hope this helps
The vector u has magnitude 6 and direction 330°. If vector v = =-u, then what is
the magnitude and direction of vector v? Write your direction in degrees in the
interval 0° 0 < 360°.
Here we go ~
It's been given that :
[tex]\qquad \sf \dashrightarrow \: \vec{v} = - \vec{u}[/tex]
And magnitude of vector u is 6 units and with a direction 330°
And we are asked to find the magnitude and direction of vector v ~
So, let's get stated ~
As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.
that is :
[tex]\qquad \sf \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]
[tex]\qquad \sf \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]
And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.
So, we can just rotate vector u by 180° to get vector v ~
[tex]\qquad \sf \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: \hat{n} = 150 \degree[/tex]
Conclusion :
vector v has magnitude of 6 units and direction 150°2+2 son pea los anuncios
Circle O is centered on the origin with a diameter of 14 units. Determine if the point (−3,2√10) is on the circle. Explain your reasoning.
Answer:
Determine the equation of the circle.
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (0, 0)diameter = 14Substitute the given values into the formula to determine the equation of the circle:
[tex]\implies (x-0)^2+(y-0)^2=7^2[/tex]
[tex]\implies x^2+y^2=49[/tex]
Given point: [tex](-3,2\sqrt{10})[/tex]
Input the x and y values of the given point into the derived circle equation. If it equals 49, then the point is on the circle:
[tex]\implies (-3)^2+(2 \sqrt{10})^2=9+40=49[/tex]
Therefore, the given point is on the circle centered at the origin with a diameter of 14 units.
i need help with this question
solve system by elimination
-2x+4y=-2
2x+3y=9
Answer:
y=1, x=3 or (3,1)
Step-by-step explanation:
when you add the two equations together the two x's cancel out, which leaves one solvable equation, 7y=7, so y=1, then you can plug y=1 into one of the equations. 2x+3(1)=9 which is 2x+3=9 then solve, x=3.
Additionally if you want to check answers plug both into one equation- -2(3)+4(1)=-2, -6+4=-2, -2=-2 which is correct.
The solution for the given linear system from the elimination method is x=3 and y=1.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
You can solve a linear system by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
-2x+4y=-2 (1)
2x+3y=9 (2)
You should sum the equations 1 and 2, for eliminate the variable x.
-2x+4y+2x+3y=-2+9
7y=7
y=1
If y=1 from equation 2, you have:
2x+3*1=9
2x+3=9
2x=9-3
2x=6
x=3
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While waiting for the school bus, Michiko records the colors of all cars passing through an intersection. The table shows the results. Estimate the probability that the next car through the intersection will be red. Express your answer as a percent. If necessary, round your answer to the nearest tenth. Red, 11 silver, 24 gray, 16 black, 9
Answer:
18.33%.
Step-by-step explanation:
The total number of cars is 60
what you want is the red number (11)
You set up what you want over what you have and end up with:
11/60
turn this into decimal and you get 0.183
to turn into percent multiply by a 100
You end up with 18.33%
Answer:
18.3%
Explanation:
Red = 11, silver = 24, gray = 16 black = 9
Total Cars = 11 + 24 + 16 + 9 = 60 cars Red Cars = 11 cars[tex]\sf probability = \dfrac{favorable \ outcomes}{total \ possible \ outcomes}[/tex]
[tex]\rightarrow \sf \dfrac{11}{60} \ x \ 100[/tex]
[tex]\rightarrow \sf 18.3 \%[/tex]
I NEED HELP ASAP
A triangle with sides 3, 4 and 6 is ___________
Select one:
a. obtuse
b. acute
c. right
Answer:
obtuse
Step-by-step explanation:
A triangle with sides of 3,4and6 is NOT a Right triangle.
i need help to solve this
Step-by-step explanation:
(6+r)^2 = 81 + r^2
36 + 12r+ r^2 = 81 + r^2
12r = 81-36 = 45
r = 15/4 = 3.75
BC = ??
need help asap
Answer:
BC = 5.87
Step-by-step explanation:
To find the last angle:
180° - 50° - 90° = 40°
Once we know that, we can use our given side angle pair to figure out the length.
[tex]\frac{7}{sin(50)}[/tex] * [tex]\frac{?}{sin(40)}[/tex] -> [tex]\frac{7*sin(40)}{sin(50)}[/tex]= ?
Then we plug into a calculator to get: 5.87
Answer:
5.87
Step-by-step explanation:
Concepts
The three different trigonometric functions are sine, cosine, and tangent. They can be memorized as the mnemonic SOHCAHTOA, where:
Sine = Opposite/HypotenuseCosine = Adjacent/HypotenuseTangent = Opposite/AdjacentThe hypotenuse will always stay the same, but depending on the highlighted angle, the opposite and adjacent side can change.
Application
In this case, we're asked to find the length of BC. We're given the length of the opposite side as 7 units. The adjacent side to m∠50° is BC. Since we're dealing with opposite and adjacent, we're going to be using tangent.
Solution (Calculator Needed)
tan(50°) = 7/xtan(50°) * x = 7/x * xtan(50°)x = 7x = 7/tan(50°)x ≈ 5.87I NEED Helppp PLEASE!!!
The given expression [tex]3 \dfrac{6}{5}[/tex] can be written as [tex]\sqrt[5]{3^6}[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given value can be written as:-
[tex]3\dfrac{6}{5} = \sqrt[5]{3^6}[/tex]
Therefore the given expression [tex]3 \dfrac{6}{5}[/tex] can be written as [tex]\sqrt[5]{3^6}[/tex].
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Angle measures in polygons need ASAP thank you
Answer:
1) 25
2) 61
3) 20
4) 25
5) 65.46
Explanation:
1) Use the formula " (n-2)180. N = the number of sides.
(25-2)180 = 4140
2) The sum of the polygon is 900.
(7-2)180 = 900
Add up all the numbers and variables then equal them to 900.
3) To find an interior of an 18-gon is the use of this formula:
(n-2)180 = Sum of the polygon
Sum / n
(18-2)180 = 2880
2880 / 18 = 160
180 - 160 = 20 ; Because they are supplementary.
4) (25-2)180 = 4140
4140 / 25 = 165.6
5) Copy the formula for explanation #3. But instead of an 18-gon, do 11-gon.
Determine the domain of the following graph:
Please help!! Desperate
The domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we can see in the picture, a graph is shown.
The hollow points denote that at x = -3 and x = 7 the function value is not defined, that's why these points should be excluded from the domain of the functions.
The domain of the function:
D: x ∈ (-3, 7)
Thus, the domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
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1/4 how do u get 16 from it show me the calculations
Answer:
It's not possible to get 16 from 1 divided by 4 alone. It will always be 0.25
What is the product of (x − 3) and (x + 7)?
- - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the product of (x-3) and (x+7)?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First multiply the x's:-
x•x=x²
Now multiply x times 7:-
7x
So we have
x²+7x
Now multiply -3 times x:-
-3x
So we have
x²+7x-3x
Now multiply 7 and -3:-
x²+7x-3x-21
On simplification,
x²+4x-21
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
PLEASE HELP WILL GIVE BRAINLEST!
Answer:
pi/2
Step-by-step explanation:
We know that,
Length of arc=r*(theta) where r=radius and theta is angle
Given- unit circle, it means circle have raduis=1
Theta=90° or (pi/2)
Hence,
Length of arc is = 1*(pi/2)
= pi/2
Hence option two is correct
Hi I need Help* math problem ( i will give brainlist ) Is the following graph linear, exponential or quadratic
Answer:
the answer is exponential
Step-by-step explanation:
Answer:
Hi! My guess would be exponential.
Step-by-step explanation:
stay safe, and I hope I helped I apologize if I am wrong, good luck friends
The z-score associated with 98% is 2.33. If the sample p-hat is 0.60 and the standard deviation is 0.02, find the lower limit of the 98% confidence interval.
Using the z-distribution, considering the given data, the lower limit of the 98% confidence interval is of 0.5534.
What is a z-distribution confidence interval?The confidence interval is:
[tex]p - zs[/tex]
In which:
p is the sample proportion.z is the critical value.s is the standard error.In this problem, the parameters are given as follows:
p = 0.6, z = 2.33, s = 0.02.
Hence, the lower limit of the 98% confidence interval is:
p - zs = 0.6 - 2.33 x 0.02 = 0.5534.
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Paula has a client who wants to invest into an account that earns 4% interest, compounded annually. The client opens the account with an initial deposit of $4,000, and deposits an additional $4,000 into the account each year thereafter.
Assuming no withdrawals or other deposits are made and that the interest rate is fixed, the balance of the account (rounded to the nearest dollar) after the eighth deposit is __________.
The balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
P = 4000, r = 4% = 0.04 and an additional $4,000 into the account each year thereafter.
The balance of the account after the eighth deposit;
[tex]A = \rm 4000\times \dfrac{1\times (1+0.04)^8}{1-(1+0.04)}[/tex]
A = 36856.90 ≈ $36857
Thus, the balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.
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