Explanation:
A: 29,000 / 38 ≈ 763
B: 31,500 / 42 = 750
C: 19,200 / 25 = 768
D: 39,000 / 54 ≈ 722
Which town has the most people per square smile? Town C
Find the perimeter of the shaded figure. PLS ASAP
Answer:
54
Step-by-step explanation:
A telephone poll asked people whether they like playing golf. Of the 100 people polled,20 like playing golf. What percentage of the people like playing golf?
Given:
Of the 100 people polled, 20 like playing golf.
To find:
The percentage of the people who like playing golf.
Solution:
In the poll,
Total number people = 100
Who like playing golf = 20
Now, percentage of the people who like playing golf is
\(Required \%=\dfrac{\text{Number of people who like playing golf}}{\text{Total number people in poll}}\times 100\)
\(Required \%=\dfrac{20}{100}\times 100\)
\(Required \%=20\)
Therefore, 20% of the people like playing golf.
How do you solve systems of equations with back substitution?
To use back substitution to solve a system of equations, work backwards from the last equation to the first.
Back replacement is a strategy for settling frameworks of conditions by working in reverse from the last condition to the first. To settle an arrangement of conditions utilizing back replacement, follow these means:
Begin with the last condition in the framework and tackle for the variable with the biggest coefficient.
Substitute this worth into the second-to-last condition and tackle for the relating variable.
Keep subbing values from the tackled conditions into the excess conditions, working in reverse until all factors are settled.
Actually look at the arrangement by subbing the qualities into the first conditions.
Back replacement is a valuable technique for tackling frameworks of conditions, particularly when the conditions are in three-sided structure or when Gaussian disposal has been applied. Be that as it may, it may not be the most proficient technique for bigger frameworks, and different strategies, for example, grid reversal or Cramer's standard might be more suitable
To learn more about back substitution, refer:
https://brainly.com/question/17053426
#SPJ4
(L5) Given: ΔABC with AC>AB;BD¯ is drawn so that AD¯≅AB¯Prove: m∠ABC>m∠C
Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.
To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.
Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.
Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.
Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.
Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.
In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.
learn more about congruence here: brainly.com/question/27922830
#SPJ11
f (x) = x^2 - 6x + 14
y−5=(x−3)2
sorry if im wrong i might be!
have a luvly day!
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
3
,
5
)
Focus:
(
3
,
21
4
)
Axis of Symmetry:
x
=
3
Directrix:
y
=
19
4
x
y
1
9
2
6
3
5
4
6
5
9
Explain how to use a vertical number line to determine the order
Answer:
Writing numbers on it makes comparing numbers easier. Numbers on the left are smaller than the numbers on the right of it. A number line can also be used to carry out addition and subtraction. We move right to add, move left to subtract.
*A vertical number line is called a number ladder. Number lines are typically introduced in kindergarten and are used frequently throughout elementary and middle school to help build skills like counting, adding, and subtracting numbers.
*a vertical line goes straight from top to bottom and bottom to top in a coordinate plane.
Find the rate of change, or slope, in the following equ
y = 6x + 2/5
The rate of change is m =
Answer:
m=6
Step-by-step explanation:
because 6 is in the place of m
Answer:
The slope is 6
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 6x + 2/5
The slope is 6 and the y intercept is 2/5
Exhibit 6-3 The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. Refer to Exhibit 6-3. What is the minimum weight of the middle 95% of the players? a. 196 b. 151 c. 249 d. None of the answers is correct.
Option B, The center 95% of players had an average weight of 151 pounds.
Football players' weights have a mean of 200 pounds as well as a standard deviation of 25 pounds, which corresponds to a normal distribution.
So, let x represent a football player's weight.
X ≅ N(200, (25)²)
The minimal weight of the center 95% of the members is
P(X > 95) = P((95 - 200) ÷ 25) < (X - µ) ÷ σ)
P(X > 95) = P(-4.2 < z)
P(X > 95) = - P(z < -4.2)
P(X > 95) = 0.1512
The needed percentage is 0.1512 × 100 = 151.2 percent.
A probability distribution that is equal around the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
Learn more about normal distribution at
https://brainly.com/question/29509087?referrer=searchResults
#SPJ4
Can someone explain me how to find square root by prime factorization ?
Answer:
STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.ExampleFind the square root of 324
324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18I need help its due tomorrow it is creating an expression for the problems.
Answer:
1. x ≤ 15
2. x ≤ $13.00
3. x < 1ft tall
4. x > $100
5. x ≥ 20 pounds
6. x ≥ 3
7. x < 20
8. x < 17
9. x > 90
10. x ≥ $500
Two sides of a triangle have the following measures. Find the range of possible measures for the third
side.
7) 12, 11
Answer:6 <x< 64
Step-by-step explanation:i hope this help
Rewrite the equation by completing the square. x^2−4x+3=0
Answer:
x=1 or x=3
Step-by-step explanation:
Hello, please consider the following.
\(x^2-4x+3=0\\\\\text{Step 1 - complete the square}\\\\x^2-4x+3=x^2-2*2*x+3=(x-2)^2-4+3=(x-2)^2-1=0\\\\\text{Step 2 - move the constant to the right side, meaning adding 1 here.}\\\\(x-2)^2=1\\\\\text{Step 3 - take the root}\\\\x-2=\pm1\\\\x=2-1=1 \ \ or \ \ x=2+1=3\)
Thank you
answers are -2,1
.
......
Y'all I really need some help here. 100 points.
Answer:
42 degrees
Step-by-step explanation:
So, first to find <QUT, which is a vertical angle, we have to figure out either QUR or TUS. So:
9x+3=11x-27
solve for x:
x=15
Then, plug it into one of the equations. Let's use 9x+3.
9(15)+3=138
So, we know that QUR is 138 degrees.
That means that TUS is ALSO 138.
138x2=276
Now we know that QUT and RUS have to equal whatever 360-276 is:
360-276=84
QUT and RUS have to equal 84 degrees, so we DIVIDE by 2.
84/2=42
So, QUT=42 degrees
Answer:
42 Degrees
Step-by-step explanation
Becuase (11x-27) and (9x+3) are vertical angles that means they are equal to each other
(11x - 27) = (9x + 3)
First you will add 27 to both sides
11x -27 = 9x +3
+27 +27
Making it to:
11x = 9x + 30
Now you need to subtract 9x from both sides
11x = 9x +30
-9x -9x
Turning it into this
2x= 30
Now Lastly, divide both sides by 2
2x = 30
2x 2x
And the answer is...... X=15
Now that you have the x value, we go back to the 11x-27 and replace the X with 15
11(15) -27 = 138 degress
Now because angle QUT and 138 degrees make a straight line that means together they will be 180 degress so you will subtract 180 by 138
Giving you the final answer of
42 Degrees
gardens a square landscape plan is composed of three indoor gardens and one walkway that are all congruent. the gardens are centered around a square lounging area. if each side of the lounging area is 15 feet long, what is the area of one of the gardens?gardens a square landscape plan is composed of three indoor gardens and one walkway that are all congruent. the gardens are centered around a square lounging area. if each side of the lounging area is 15 feet long, what is the area of one of the gardens?
The area of one garden using each side of the lounging area is 15 feet long is equal to 56.25 square feet.
Shape of the garden landscape is square.
If the lounging area is a square with sides of length 15 feet,
Area of lounging area
= (15 feet) × (15 feet)
= 225 square feet
Four congruent sections of the landscape plan .
Three indoor gardens and one walkway.
Divide the lounging area into four equal square sections.
Each of the congruent sections has an area equal to,
Area of lounging area = 4 × area of one garden
Let's call the area of one garden be x.
⇒225 = 4x
Solving for x, we divide both sides by 4
⇒x = 225/4
⇒x = 56.25 square feet
Therefore, the area of one garden is 56.25 square feet.
Learn more about area here
brainly.com/question/26446508
#SPJ4
Triangle LMN is similar to triangle OPQ. Find the measure of side OP. Round your answer to the nearest tenth if necessary.
Answer:
X = 12.645 round to 12.7
Step-by-step explanation:
∆LMN ~ ∆OPQ
so the coresponding side ratio are proportional
LM/OP = LN/OQ
LM/OP = LN/OQ49/OP = 31/8 ... the u solve x
X = 12.645 round to 12.7
Hegarty maths- Algebra Quadratic sequences & graphs 249 - Use the nth term of a quadratic sequence 1
Please help me TvT
Answer:
Step-by-step explanation:
T₁ = 1² + 4·1 + 2 = 7
T₂ = 2² + 4·2 + 2 = 14
T₃ = 3² + 4·3 + 2 = 23
State the null and alternative hypotheses in testing following claims: (a) At most, 20% of next year’s wheat crop will be exported to UK. (b) On the average, homemakers drink 3 cups of tea per day. (c) The proportion of university graduates in this year who majored in the data analytics is at least 0.15. (d) The average donation to the Indian Council for Medical Research is no more than Rs. 10. (e) Residents in Gujarat commute, on the average, 15 kilometers to their place of employment
Answer:
A) Null hypothesis: H0: p_o ≤ 0.2
Alternative hypothesis: Ha: p_o > 0.2
B) Null hypothesis: H0: μ = 3
Alternative hypothesis: Ha: μ ≠ 3
C) Null hypothesis: H0: p_o ≥ 0.15
Alternative hypothesis: Ha: p_o < 0.15
D) Null hypothesis: H0: μ ≤ 10
Alternative hypothesis: Ha: μ > 10
E) Null hypothesis: H0: μ = 15
Alternative hypothesis: Ha: μ ≠ 15
Step-by-step explanation:
A) Null hypothesis: H0: p_o ≤ 0.2
Alternative hypothesis: Ha: p_o > 0.2
B) Null hypothesis: H0: μ = 3
Alternative hypothesis: Ha: μ ≠ 3
C) Null hypothesis: H0: p_o ≥ 0.15
Alternative hypothesis: Ha: p_o < 0.15
D) Null hypothesis: H0: μ ≤ 10
Alternative hypothesis: Ha: μ > 10
E) Null hypothesis: H0: μ = 15
Alternative hypothesis: Ha: μ ≠ 15
Whoever answers first gets brainliest
Come up with a story for graph c
Answer:
Mike ran half way to school walked to school and ran the rest
Step-by-step explanation:
What are some of the cities where jazz first developed during the 1920s and 1930s? Why do you think these particular cities became important sites for jazz? From the timeline, on the left choose one subgenre of jazz and discuss what elements are found in this type of music. Choose one decade from the timeline on the left, and discuss how that particular decade influenced the development of jazz music. What is hard bop? What is jazz fusion? What is jazz like today? After listening to some of the music from different jazz composers, which one do you like the best? Why?
Answer:
1. Chicago, Detroit, Kansas City. Because they’re larger cities where pop culture thrives.
2. Hot Jazz. Hot Jazz is heavily dependant on improvisation. The key element of hot jazz was artists coming up with music on the spot and fast paced as well.
3. The roaring 20s had a huge impact on jazz. The roaring 20s was one of the first major revolutions in pop culture where people were turning away from traditional things and turning to new ideas, music, clothing, etc. This caused jazz to boom because it was a brand new style that was less constricted by society than music created prior to it.
4. A faster paced, more aggressive style of jazz.
5. A style of jazz that included many rock music characteristics.
6. Jazz, although less popular, can be found in lots of pieces today. It is either more modernized in new music, or is still the same as it was.
7. I like hot jazz the best because of the musical improvisation. I find it shows true talent the best in jazz musicians.
*The last questions not mentioned in the original question:
What are some ways that modern technology is used in music today that is different than music from when jazz originated? How do you think emerging technology will affect music in the future? - Music isn’t as real anymore. Most of today’s music in pop culture is produced by a computer rather than played live. Technology will, although continue to revolutionize music in the future, take away the element of true talent of music being played live like older jazz musicians once did.
According to Stefon Harris, what counts as a “mistake” in jazz? - Not incorporating or choosing to neglect other bandmate’s ideas when creating music.
Step-by-step explanation:
You're welcome lovelies get that A for me
is the absolute value of an integral always less than integral of absolute value for lebesgue integrals
YES, the absolute value of an integral is always less than the integral of the absolute value for Lebesgue integrals.
An integral is like a sum, but fancier. So look at a sum 1+(-5)+2+(-3)=-5. Take the absolute value, |1+(-5)+2+(-3)|=5. But, if you take the absolute value of the individual terms and then add them, you get |1|+|-5|+|2|+|-3|=1+5+2+3=11. 11>5
The reason is that when you add them all up and then take the absolute value, the positive and negative terms of the sum get to cancel each other out and make the absolute value of the sum greater overall. When you take the absolute value of individual terms, you force them all to "point in the same direction" (positive) so they are working together and the sum gets higher.
To know more about integral value visit the link:
https://brainly.com/question/29559302?referrer=searchResults
#SPJ4
Among the 2302 respondents, 627 said that they only play hockey. what percentage of respondents said that they only play hockey?
The percentage of respondents who play only hockey is 27.24%.
According to the given question.
Total number of respondents = 2302
And, the number of reposdents who play only hockey = 627
Therefore,
The percentage of respondents said that they play only hockey
= (number of respondents who play only hockey/ total number of respondents) × 100
\(= \frac{627}{2302} \times 100\)
= 27.237 %
≈ 27.24%
Hence, the percentage of respondents who play only hockey is 27.24%.
Find out more information about percentage here:
https://brainly.com/question/8191920
#SPJ4
please solve for the correct answer. thank you!
Answer: the slope of the line is B), -1/2
Triangle ABC and triangle QRS are similar and have the same orientation. The hypotenuse of triangle QRS is on the same line as the hypotenuse of triangle ABC and is four times the length of AB.
Part a) The slope of the hypotenuse of triangle ABC is Mab = -1.5
Part b) The coordinates of point R are (4,-7)
How do we calculate?Part a
The formula to calculate the slope between two points is equal to
m = y2- y1 / x2 - x1
The hypotenuse of triangle ABC is the segment AB
A(-6, 8) and B(-2, 2)
substituting the values, we have:
mab = -3/2
Part b)
triangle ABC and triangle QRS are similar which means that the ratio of its corresponding sides is proportional, the slope of its corresponding sides are congruent and its corresponding interior angles are congruent too.
so mQR = Mab
mQR = -3/2
we have
3/2 = y + 4/ x - 2
Q(2, -4) and R( x,y )
We have said that Triangle ABC and triangle QRS are the same orientation
so
The x-coordinate of R must be positive
The y-coordinate of R must be negative
Plot points A,B and Q to understand
therefore
----> -3 = y+ 4 ----> y-7
----> 2 = x- 2 ----> x = 4
The coordinates of point R are (4,-7)
Learn more about corresponding interior angles at: https://brainly.com/question/26167358
#SPJ1
#complete question:
Triangle ABC and triangle QRS are similar and are the same orientation. The endpoints of the hypotenuse of triangle ABC are A(-6, 8) and B(-2, 2). The hypotenuse of triangle QRS is on the same line as the hypotenuse of triangle ABC and is one-half the length of AB.
What is the slope of the hypotenuse of triangle ABC? __________________
What are the coordinates of the hypotenuse of triangle QRS? Q(2, -4) and R( _, _ )
8 7 12 7 11
10 7 12
Find:
a)the median
b) the range
c)the mode
Answer:
a) Median: 9
b) Range: 5
c) Mode: 7
Step-by-step explanation:
The median is the number in the middle.
First, you put the numbers in order: 7, 7, 7, 8, 10, 11, 12, 12
The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.
To find the range, you minus the highest number and the lowest number, 12-7=5.
Mode is the most occurring and repetitive number, in this case, 7, because it is written 3 times.
Hope this helps!!!
Answer:
\(\boxed{\mathrm {Median = 9}}\)
\(\boxed{\mathrm{Range = 5}}\)
\(\boxed{\mathrm{Mode = 7}}\)
Step-by-step explanation:
The observations are:
8,7,12,7,11,10,7,12
In ascending order:
=> 7,7,7,8,10,11,12,12
A) Median => Middlemost no.
Median = 8,10
=> \(\frac{8+10}{2}\)
=> \(\frac{18}{2}\)
Median = 9
B) Range = Highest No. = Lowest No.
RANGE = 12-7
Range = 5
C) Mode => frequently occurring number
Mode = 7
can some help me with this!!
Answer:
3
Step-by-step explanation:
\( | - 3| = 3\)
Hope it helps you in your learning process.
the answer is 0.30 your welcome
Mrs Santos has two kinds of flowers in her garden the ratio of Lily to daisies and the garden is three to two if there are 12 lilies what is the total number of Flowers in her garden
Answer:
its 8
Step-by-step explanation:
I just did the test
The total number of Flowers in her garden are, 20
We have to given that,
Mrs. Santos has two kinds of flowers in her garden,
And, the ratio of Lily to daisies and the garden is three to two.
Here, number of lilies = 12
Since, the ratio of Lily to daisies and the garden is,
3 : 2
So, Number of Lily = 3x
3x = 12
x = 12/3
x = 4
Hence, Number of daisies = 2x = 2 × 4 = 8
So, the total number of Flowers in her garden are,
⇒ 12 + 8
⇒ 20
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ2
A football club is hiring a painter to paint a mural on the concession stand wall. The painter charges an initial fee plus $25 an hour. After 12 hours of work, the football club owed $350. Create a function to represent the situation. Find and interpret the rate of change and initial value.
I NEED HELP PLEASE!
The equation that can be used in solving the information regarding the fee charged by the painter is x + 300 = 350.
How to solve the equationFrom the information given, the painter charges an initial fee plus $25 an hour and after 12 hours of work, the football club owed $350.
Therefore, the initial value will be:
x + 25(12) = 350
x + 300 = 350
x = 350 - 300
x = 50
The initial fee is $50.
Learn more about equations on:
https://brainly.com/question/1214333
If I had to write 2 pages a day, how long would it take me to write 300 pages?
Time required for writing 2 pages = 1 day
So, time required for writing 1 pages
= 1 day/2
= ½ day
So, time required for writing 300 pages
= ½ day × 300
= (300/2) days
= 150 days
Answer:
150 days
Step-by-step explanation:
We can write a ratio to solve
2 pages 300 pages
----------- = ------------
1 day x days
Using cross products
2x = 300
Divide by 2
2x/2 = 300/2
x = 150
150 days
Ricky scored 20 points in his first game and 18 points in his second game. He played three games during the week and averaged 21 points per game. How many points did he score in his third game?
Answer:
25 points
Step-by-step explanation:
21 x 3
63
-20
43
-18
25
Which of the following is equivalent to the inequality 2x + 13 < 5x - 20?
F. x >-11
G. x<?
H. x>;
J. x < 11
K. x > 11
Answer:
k
Step-by-step explanation:
2x+13<5x−20
Subtract 5x from both sides.
Combine 2x and −5x to get −3x.
Subtract 13 from both sides.
Subtract 13 from −20 to get −33.
Divide both sides by −3. Since −3 is negative, the inequality direction is changed.
x>11