the probability distribution table shows the proportion of people living in the five different regions of a city there are now 4200 residents in the city.
How many live in the south region?
Photo attached
Answers
4200 ×.16 = 672
672 residents
Answer: Number of residents live in south region= 672 residents.
Step-by-step explanation:
Given:- Total residents in the city =4200
let A be the event of residents live in south region the,
Probability of residents live in south region P(A) = 0.16
So, Number of residents live in south region=Product of probability of residents live in south region and total residents in the city =0.16×4200=672 residents.
Related Questions
The measure of an angle is 1/4 the measure of its complement. Find the measure of each angle
Answers
complement means they add up to 90.
so both angles add up to 90 and one is 1/4 the other.
so if we set x = 1 the complement is 4x. together they make 5.
90/5=18
so one angle is 18 and the other is 72.
The two angles are 18 degrees and 72 degrees. The smaller angle is one-fourth of the larger, and they add up to 90 degrees because they are complementary.
Explanation:In mathematics, complementary angles are two angles whose measures add up to 90 degrees. Based on the question, let's denote the smaller angle as x and the larger angle (its complement) as y.
Given that x is 1/4 of y, we can write the equation x = y/4.
Also, since they're complementary, their measures add to 90 degrees, giving the equation x + y = 90.
From x = y/4, it can be inferred that y = 4x. Substituting y in the second equation we get x + 4x = 90, which simplifies to 5x = 90. Dividing both sides by 5, we have x = 18.
To find y, substitute x = 18 into the equation y = 4x, giving y = 4*18 = 72. Therefore, the measures of the two angles are 18 and 72 respectively.
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Solve the equation
5x - 5 = 3x - 9
A. 1
B. -2
C. -3
D. -1
Answers
Solve for the variable "a" in this equation. Show work:
c=8πab
Answers
Divide both sides by 8πb
c/(8πb) = a
What are the steps for using a compass and straightedge to construct a square? Drag and drop the steps in order from start to finish. Use a straightedge to draw line a and label a point on the line as point P. Without changing the compass width, place the compass point on point S and draw an arc in the interior of ∠SPT . Use the straightedge to draw QS¯¯¯¯¯ and QT¯¯¯¯¯. Construct a line perpendicular to line a through point P. Label a point on this line as point R. With the compass open to the desired side length of the square, place the compass point on point P and draw an arc on line a and an arc on PR←→ . Label the points of intersection as points S and T. Keeping the same compass width, place the compass on point T and draw an arc in the interior of ∠SPT to intersect the previously drawn arc. Label the point of intersection as point Q.
Answers
Answer: The steps for using a compass and straightedge to construct a square are as follows :-
1. Use a straightedge to draw line a and label a point on the line as point P.
2. Construct a line perpendicular to line a through point P.
3. Label a point on this line as point R.
4. With the compass open to the desired side length of the square, place the compass point on point P and draw an arc on line a and an arc on PR←→.
5. Label the points of intersection as points S and T.
6. Keeping the same compass width, place the compass on point T and draw an arc in the interior of∠SPT to intersect the previously drawn arc.
7. Label the point of intersection as point Q.
8. Without changing the compass width, place the compass point on point S and draw an arc in the interior of∠SPT .
9. Use the straightedge to draw QS ,QT,SR and RT.
Here we have finished with the square RTQS.
The accepted value of a length measurement is 200 cm and the experimental value is 198 cm what is the percent error
Answers
= 99%
Percent Inaccuracy: 100-99%
=1% inaccuracy
Hope I helped :)
The percent error of the given problem is 1% inaccuracy.
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
We have been given that accepted value of a length measurement is 200 cm and the experimental value is 198 cm.
Actual value = 200
Estimated value = 198
The percent accuracy,
198/200 x 100%
= 99%
Therefore,
Error = Actual value - Estimated value
Percent Inaccuracy: 100 - 99%
= 1% inaccuracy
Hence, the percent error of the given problem is 1% inaccuracy.
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a 12000-gallon pool is being filled at a rate of 40 gallons per minute. at this rate, how many minutes will it take to fill this pool 3/4 full?
Answers
12000* 3/4
=9000 gallons
If the rate is 40 gallons per minute,
9000/40
=225 minutes
It would take 225 minutes to fill up 3/4 of the pool.
Hope I helped :)
The number of minutes taken to fill the pool in three-fourths full is 225.
Given that,
There is a 12,000-gallon pool filled at the rate of 40 gallons per minute.And, there is three-fourths full.Based on the above information, the calculation is as follows:
[tex]= (12000 \times \frac{3}{4}) \div 40[/tex]
= 225 minutes
Therefore we can conclude that the number of minutes taken to fill the pool in three-fourths full is 225.
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What is the common difference for the sequence shown below? coordinate plane showing the points 1, 5; 2, 2; and 3, negative 1?
Answers
Answer:
the common difference of the sequence (d) = -3
Step-by-step explanation:
Given sequence is 1st term, 2nd term, 3rd term
= 5, 2, -1
It is an arithmetic sequence.
The common difference (d) = second term - first term
d = 2 - 5
d = -3
Therefore, the common difference of the sequence (d) = -3
Hope this will helpful.
Thank you.
3y + 2z = 12 and y – z = 9.
Answers
y -z = 9 add z to each side
y = z + 9
We can substitute this (z + 9) into wherever y is in the first equation.
3y + 2z = 12
3( z + 9) + 2z = 12
3z + 27 + 2z = 12
5z + 27 = 12
5z = -15
z = -3
Now that we have z, we can plug this in to the smaller equation and solve for y.
y = z + 9
y = -3 + 9
y = 6
So z = -3 and y = 6
Hope this helps C:
Solve the second equation for y:
y = z + 9
Now substitute y of the first equation with z + 9.
3y + 2z = 12
3(z + 9) + 2z = 12
3z + 27 + 2z = 12
5z + 27 = 12
5z = -15
z = -3
Now substitute -3 for z in the second equation:
y - (-3) = 9
y + 3 = 9
y = 6
Solution: y = 6 and z = -3
A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?
Answers
p(Jonas picks an orange) = 5/13
Beth: 1 of 5 apples out of 12 pieces of fruit
p(Beth picks an apple) = 5/12
p(Jonas picks an orange and Beth picks an apple) =
= p(Jonas picks an orange) * p(Beth picks an apple)
= 5/13 * 5/12
= 25/156
Answer:
The probability that Jonas will get an orange and Beth will get an apple
is 25/156
What is the approximate value of x? Round to the nearest tenth.
A) 3.1 cm
B) 3.9 cm
C) 4.6 cm
D) 5.4 cm
Answers
x = 6cm * sin(50) = 4.59
rounded to 4.6
Answer is C
Answer:
option C is correct
The approximate value of x is, 4.6 cm(nearest to tenth)
Step-by-step explanation:
In the given figure; the triangle is right angle triangle:
Label the figure:
then, the triangle XYZ is right angle triangle.
Using trigonometric ratio:
The ratio of the opposite side of a right triangle to the hypotenuse is called the sine. i.e,
[tex]Sine=\frac{opposite}{Hypotenuse}[/tex]
using sine ratio in triangle XYZ:
[tex]\sin 50^{\circ} = \frac{XY}{XZ}[/tex]
Substitute the value of XY = x cm and XZ = 6 cm in above ratio:
[tex]\sin 50^{\circ} = \frac{x}{6}[/tex] or
[tex]0.76604444247801 = \frac{x}{6}[/tex]
Simplify:
[tex]x= 4.59626665[/tex] cm
Therefore, the approximate value of x nearest to tenth is, 4.6 cm
What is the length of each side of a square room if the area is 400 ft²?
Answers
A = s²
s² = 400
s = √400
s = 20
each side of a square room is 20.
hope this helped, God bless!
Please check and correct the following answers:
What decimal is equivalent to 72/100?
Is the answer 0.72?
Express 0.72 as a fraction in simplest form.
Is the answer 18/25?
What makes the statement true? 9^-2 = ?
Is the answer 1/81
Answers
A: What decimal is equivalent to 72/100?
Well, 72/100 means you have 72 out of 100. Meaning it's not a whole number, so this means as a decimal, your answer would be behind the decimal point.
Behind the decimal, you have 3 main places. Tenths, Hundredths, and Thousandths. It goes much further than that, of course, but most don't have to worry about those. 72/100 is represented as 72-hundredths, or .72
You are correct.
B: .72 as a fraction is 72/100. Simply divide by 2 until you simply can't anymore, this saves you time. 72/100 divided by 2 equally is 36/50. This divided by 2 equally is 18/25. This is the lowest form, you are correct.
C: Well, also simple. We know that when you have an exponent, you multiply the number by itself. 9^2 is 81, because 9*9=81. HOWEVER, this applies to only positive exponents. With negative exponents, you have to make it a fraction as 1. So, your answer is indeed 1/81
You are correct on all! Great job!
~Hope this helps!
Smart enough to answer this question? Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than 1 1/4 times the number of shells Mary has. Nancy has 1 more than 1 1/2 times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution. (isnt fraction is one and one fourths, second fraction is 1 and one halfs)
Answers
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n
1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n
1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells
Is the sequence geometric? If so, identify the common ratio.
2, -4, -16, -36, ...
A. Yes; -2
B. Yes; 2
C. Yes; -3
D. No
Answers
Answer:
No this is not the sequence geometric.
Step-by-step explanation:
Given : 2, -4, -16, -36, ...
To find : Is the sequence geometric? If so, identify the common ratio.
Solution : We have given that 2, -4, -16, -36, ...
In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Geometric Sequence like this:
{a, ar, ar², ar³, ... }
On comparing
2, -4, -16, -36, ...
{ 2 , 2 ×-2, 2×(-2)², 2×(-2)³..
So we get { 2, -4, -8, -16...
Therefore , No this is not the sequence geometric.
Since the quotient between consecutive terms is different, the sequence is not geometric, and the correct option is:
D. No Geometric sequence:In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio.
In this problem, the sequence is: {2, -4, -16, -36, ...}
[tex]-\frac{4}{2} = -2[/tex]
[tex]\frac{-16}{-4} = 4[/tex]
Different quotients, hence not geometric, and option D is correct.
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Please help me
True or false. In order for a disjunction statement to be false, both of its component statements must be false. Explain.
Answers
The answer is true. This was just on my quiz and I know its correct.
The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward.
Answers
C) The ball reaches its maximum height about 4 seconds after it is thrown
Answer:
A. The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
C. The ball reaches its maximum height about 4 seconds after it is thrown
Step-by-step explanation:
edg.
Arliss has two pieces of carpet runner. One is2/13 yards long and the other3/13
is yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?
Answers
1. Add the two given fractions.
2. Subtract the sum from 10 to find your answer.
Answer:
5 2/3
Step-by-step explanation:i thought this problem was literally impossible to do and its stopped me from progressing but i finally found out the answer and here it is
find the digit that makes 2,72_ divisible by 6
Answers
2,721/6= 453.5 Not 1
2,722/6=453.6 Not 2
2,723/6= 453.83 Not 3
2,724/6= 454 The last digit it 4
To find the missing digit to make 2,72_ divisible by 6, add the digit 4.
To find the digit that makes 2,72_ divisible by 6, we need to focus on the divisibility rules for 6. In this case, a number is divisible by 6 if it is divisible by both 2 and 3. For 2, the last digit must be even, and for 3, the sum of the digits must be a multiple of 3.
Given the number 2,72_, the blank digit needs to be 4 to make the number divisible by 6. This is because when the digit 4 is added, the number becomes 2,724, which is divisible by both 2 and 3.
What is -2,3 rotated 90 degrees counterclockwise around the origin?
Answers
Answer(-3,2)
Step-by-step explanation:
The sum of 4 times mike's age and 3 times susan's age is 79. mike is 1 year more than 3 times as old as susan. find each of their ages.
Answers
Mike's age; 1+3x
4(1+3x)+3x=79 (solve for x)
4+12x+3x=79
15x=79-4
15x=75
x=75/15
x= 5
Therefore, Mike is 5 years old, Susan is (1+3x5)=16 years old.
Hope I helped :)
Which of the following is a solution to the system shown below? y = 3x 2 - 8x - 2 and 2x - y = 5
Answers
y = 3x^2 - 8x -2
Thus, y is given in terms of x. We will use this to substitute in the second equation and get the values of x as follows:
2x - y = 5
2x - (3x^2 - 8x -2) = 5
2x - 3x^2 + 8x + 2 -5 = 0
-3x^2 + 10x - 3 = 0
(x-3) (3x-1) = 0
either x = 3
or x = 1/3
Now, we will use the calculated values of x to find y as follows:
At x=3: y = 3x^2 - 8x - 2 = 3(3)^2 - 8(3) - 2 = 1
At x=1/3 : y = 3x^2 - 8x - 2 = 3(1/3)^2 - 8(1/3) - 2 = -13/3
Based on the above calculations, the solution sets of the system of equations given are either (3,1) or (1/3 , -13/3)
Answer:
(1/3, -13/3)
Step-by-step explanation:
I know this is correct because I got this question right on my quiz. Exact question, word for word. Hope this helps!
Please help me this ...
Introduction to addition or subtraction of fractions with different denominator 3/5+1/3
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I need help making an inequality.The problem is down below: The student council wants to rent a ballroom for the junior prom. The ballroom's rental plan is $1500 for 3 h and $125 for each...
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What is the sum of the first eight terms -800, -200, -50, -12.5... etc divide by 4 each time i could do this but im too lazy :p
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The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer.
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Mathematics 5 pts 5 minutes ago
Introduction to addition or subtraction of fractions with different denominator 3/5+1/3
Answers
The ratio of the angle measures of the acute angles in a right triangle is 1:2 . What is the measures of these angles a. 30 and 60 b. 45 and 90 c. 60 and 120 d. 10 and 20
Answers
Answer:
30 & 60
Step-by-step explanation:
The tutor is correct, besides the fact that the interior angles would equal 180, not 190. Typos happen.
A group of friends share slices of pizza.If each person gets 5 slices there will be 4 slices short.How many slices of pizza are there to share?
Answers
karen has 12 apples. she gives 3 to john, 4 to lennard, and 2 to tracy. she then takes away 2 from john, 1 from lennard, and 1 from tracy. how many apples does she have now?
Answers
Let's calculate how many apples the other people have and subtract how many she took away
John; 3-2=1
Lenard; 4-1=3
Tracy; 2-1=1
Now let's add the answers up to know how many she has given out
1+3+1=5
So that means she has lost 5 apples. To find how many she has left will be the total minus the apples given out.
12-5=7
She has 7 apples left
Hope that helped. Have a nice day
Richard borrowed $950 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $85 from his paycheck each week. Assuming richard sticks to his promise, which of the following is not a possible scenario for the amount of debt Richard has remaining?
Answers
I think it's B but I'm not 100% sure
Answer:
B
Step-by-step explanation:
To solve this, you need to know first how many weeks will take Richard replacing the money.
We will call X the number of weeks so we say
$85 * X =$950
X= 11.17
This means it will take at least ≈12 weeks to pay his debt.
To know which scenario it's not possible, use the equation to choose the right option.
A: $85*5= $425
After 5 weeks, he paid $425, this mean he's $525 in debt.
B: $85*6= $510
After 6 weeks, he paid $510, this means he's $440 in debt.
C. $85*7= $595
After 7 week,s he paid $595, this means he's $355 in debt.
D. $85*8= $680
After 7 weeks, he paid $680, this means he's $270 in debt.
The not possible scenario is B because he will be paying at least $85 or more so he will debt $440 or less al week 6.
A garden table and a bench cost $799 combined. the garden table costs $49 more than the bench. what is the cost of the bench?
Answers
The cost of the bench is $ 375
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of the bench be = B
Now , the equation will be
Let the cost of the table be = T
Now , the total cost of the table and bench = $ 799
Substituting the values in the equation , we get
B + T = 799 be equation (1)
And , garden table costs $49 more than the bench
So , T = 49 + B be equation (2)
Substituting the value of T from equation (2) in equation (1) , we get
B + 49 + B = 799
2B + 49 = 799
Subtracting 49 on both sides of the equation , we get
2B = 750
Divide by 2 on both sides of the equation , we get
B = $ 375
Therefore , the value of B is $ 375
Hence , The cost of the bench is $ 375
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What is the reason for each step in the solution of the equation? −5(x−6)=10x Drag and drop the reasons into the boxes to correctly complete the table.
Answers
-5x+30=10x
Second, you add 5 to both sides which is kind of like combining like-terms.
30=15x
Finally, you divide by 15 on both sides to get x by itself which will leave you with the solution to the equation.
2=x
That’s it.
Answer:
Step-by-step explanation:
-5(x -6) = 10x . . . . . given
-5x +30 = 10x . . . . distributive property of multiplication over addition
30 = 15x . . . . . . . . addition property of equality (5x was added to both sides)
2 = x . . . . . . . . . . . division property of equality (both sides were divided by 15)
hope this helped
Solve for the variable: 12.9 = x + 7.1 5.8 -5.8 20 -20
Answers
subtract 7.1 from both sides to isolate the variable, x.
5.8 = x
5.8 is your answer.
For the points in the table, does pressure vary directly with volume? If so, identify k and write an equation. No, this is not a direct variation. Yes, this is a direct variation with k = . Yes, this is a direct variation with k = 1. Yes, this is a direct variation with k = 3.
Answers
Answer:
it is A "No, this is not a direct variation."
Step-by-step explanation:
i jus took the test
Pressure and volume have an inverse relationship, known as Boyle's Law, where if pressure increases, volume decreases and vice-versa. This is represented by the mathematical equation P.V = k, where k is a constant. This is graphically represented as a hyperbola.
Explanation:From the details available, it can be concluded that the relationship between pressure (P) and volume (V) is not a direct variation, but an inverse one. This relationship is also known as Boyle's Law, which states that the product of the pressure and volume for a given amount of gas at a constant temperature remains constant. Mathematically this can be written as P = k·1/V or P.V = k, where k is a constant.
This means that when the pressure increases, volume decreases and vice-versa. If you were to graphically represent this, you would get a hyperbola, not a straight line, which distinguishes it as an inverse relationship rather than a direct one.
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