The mean is 2,071,798.33
The Median is 1,485,552
The range is 7,425,310
The standard deviation is given as 1961105.68
The mean population can be computed as:Mean = (Sum of all populations) / (Number of cities)
= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12
= 24,861,580 / 12
= 2,071,798.33
To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:
911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817
Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:
Median = (1,423,851 + 1,547,253) / 2
= 1,485,552
The mode isn't applicable here as no city population repeats.
The range is the highest population minus the lowest population:
Range = 8,336,817 - 911,507
= 7,425,310
Standard deviation = (911507- 2068548.3333333)² + (978908 - 2068548.3333333)² + (979576 - 2068548.3333333)² + ( 1021795 - 2068548.3333333)² + (1343573- 2068548.3333333)² +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)² +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12
= 46151226311869 / 12
= 3845935525989.1
\(standard deviation = \sqrt{ 3845935525989.1}\)
= 1961105.6896529
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The quotient of 50 and n
Answer:
D is the answers for the question
Step-by-step explanation:
please mark me as brainlest
What is the vertex of the absolute value function below?
Answer:
(-3,2)
Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0
14. Carrie has 11 board games. Carrie has 8 more board games than Marisol has. How many board games does Marisol have?
Answer:
3
Step-by-step explanation:
11-8=3 because 8 more than 3 is 11
can someone help me on 5 or 6. (find the area and perimeter)
Answer:
the answer is 6 trust. poopoo
The present population of a town is 2024800. It the rate of growth population is 5% per year per year. Find the Increased population in 2years.
Answer:
2232342Step-by-step explanation:
2024800 : 100 * 5 = 101240
2024800 + 101240 = 2126040
2126040 : 100 * 5 = 106302
2126040 + 106302 = 2232342
in the first year, it increases by 5% of the original number, making the population at the end of that year 2 126 040. Then, the second year, it will increase by 5% of 2 126 040. This means that the final product or population after 2 years would be 2232342.
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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6 R
;\: ; _6
-2
4 6
4 2
4
Help❗️❗️
Answer:
drop the 0 then add the 0 o. the top or I think
Find X,so that 7x+1,5x+7,and 2x-1 form an arithmetic sequence and write the first three terms.
The first three terms of the arithmetic sequence are -97, -63, and -29.
The value of x = -14.
How to Find the Terms in an Arithmetic Sequence?To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:
The common difference (d) is the same between all consecutive terms.
So, we have:
(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)
Simplifying the equation:
5x + 7 - 7x - 1 = 2x - 1 - 5x - 7
-2x + 6 = -3x - 8
Now, let's solve for X:
-2x + 3x = -8 - 6
x = -14
Substituting the value of X back into the expressions, we can find the first three terms:
First term: 7x + 1 = 7(-14) + 1 = -97
Second term: 5x + 7 = 5(-14) + 7 = -63
Third term: 2x - 1 = 2(-14) - 1 = -29
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Question 1 Complete the missing reasons for the proof. Given: 4(x - 2) = 6x + 18 Prove: x= -13 Statements Reasons 1.4(x - 2) = 6x +18 given 2. 4x8= 6x +18 distributive property 3.-2-8-18 4.-2x = 26 addition property of equality 5.x = -13 O 3. subtraction property of equality; 5. multiplication property of equality O 3. subtraction property of equality; 5. division property of equality 3. addition property of equality; 5. division property of equality O 3. addition property of equality; 5. multiplication property of equality
Looking at the problem statement, the question is asking us to determine what the missing reasons are. The information that is given to us is a step-by-step process of solving an expression for an unknown. There are also two blanks in the reasons column for steps 3 and 5 which we will need to determine.
For step #3, we can see that they subtracted 6x from both sides which means that options 3 and 4 are automatically out since they reference addition in the first part. The correct reasoning for this part would be Subtraction Property of Equality which states that we subtract the same item from both sides of the expression.
We can see this being done in the following actions
\(4x - 8 = 6x + 18\)\((4x - 6x) - 8 = (6x - 6x) + 18\)\((4x - 6x) - 8 = 18\)\(-2x - 8 = 18\)For step #5, we can see that they divided both sides by -2 which means that option 1 is out since it references the multiplication property of equality. The correct reasoning for this part would be Division Property of Equality which states that we divide both sides by the same item.
We can see this being done in the following actions
\(-2x = 26\)\(\frac{-2x}{-2} = \frac{26}{-2}\)\(x= \frac{26}{-2}\)\(x= -13\)Therefore, the option that would best fit the description that we provided during our work would be option 2 (3. subtraction property of equality; 5. division property of equality).
Answer:
b) 3. addition property of equality; 5. division property of equality.
Step-by-step explanation:
Given: 4(x - 2) = 6x + 18
Prove: x = -13
Algebraic Properties:
Addition: If a = b, then a + c = b + cSubtraction: If a = b, then a - c = b - cMultiplication: If a = b, then ac = bcDivision: If a = b, then a ÷ c = b ÷ cDistributive: a(b + c) = ab + acSteps:
1. Given:
⟹ 4(x - 2) = 6x + 18
2. Distribute property:
4(x) + 4(-2) = 6x + 18 [distribute 4]
⟹ 4x - 8 = 6x + 18
3. Subtraction property of equality:
4x - 6x - 8 = 6x - 6x + 18 [subtract 6x from both sides]
⟹ -2x - 8 = 18
4. Addition property of equality:
-2x - 8 + 8 = 18 + 8 [add 8 to both sides]
⟹ -2x = 26
5. Division property of equality:
-2x ÷ -2 = 26 ÷ -2 [divide both sides by -2]
⟹ x = -13
In conclusion, the missing reasons are the subtraction and division properties of equality.
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Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - 2y = 6
Answer:
y=x-3
Step-by-step explanation:
Lois has 10 coins in quarters and dimes in their pocket. After counting, the total value is $1.45. How many of each coin did Lois have?
What is the average rate of change for this quadratic
function for the interval from x=2 to x = 4?
A. 12
B. -6
C. -12
D. 6
-10-
Click here for long description
SUBMIT
The average rate of change of the function over the interval is -6
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
From x = 2 to x = 4
The function is a quadratic function
This means that it does not have a constant average rate of change
So, we have
f(2) = -3
f(4) = -15
Next, we have
Rate = (-15 + 3)/(4 - 2)
Evaluate
Rate = -6
Hence, the rate is -6
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Ms. Guzman asked each of her homeroom students’ “What did you make on your Unit 6 science test”? She graphed the results on the line plot. Which is the best description of the data? (AKS 42) The range is 35, there is a peak at 90, and there are no outliers or gaps. The mode is 90, the data is skewed to the right, and there is a gap at 70 & 75. The mean is about 90, gaps at 70-75, mode at 85 and 100, and the data is skewed to the left. The median is 90, the distribution is asymmetrical, and there are gaps from 70- 75, and an outlier at 65. The median is 90, the distribution is asymmetrical, and there are gaps at 60, 70-75, and an outlier at 65.https://d3rqz33hmpm7kb.cloudfront.net/2021-03-08/5f50fc4b574c12225922587b/604618b510ed2dcf941eee43_rich-text-file-2021-03-08T12-2-46-770Z.imagepng
My question is #2 but I am confused on it. I think I have a answer for it but I am unsure of it
If two lines in space do not intersect that doesn't mean that they are parallel. That rule only apply on the plane. An example of this is the following. Think on a line that is parallel to the z axis (the vertical one), that passes through two of the octants, now think on a line that is parallel to the x axis, that does not passes through the octants of the first line. This lines will not intersect and they are not parallel.
I’ll mark you brainliest .
It’s either B,C,or D
Answer:
I believe it may be C or D.
C and D are the exact same, but I don't think it is B, seeing as it is an absolute value function. If I'm wrong, please forgive me.
Step-by-step explanation:
Kari swims 4 laps around a pool in 12 minutes,
1. How many minutes per lap is that?
Answer:
3 minutes per lap
Step-by-step explanation:
12 divided by 4 is 3
Answer:
12÷4=3
Step-by-step explanation:
3 lapsaround the
458 divided by 31 using compatible numbers
14.77
458 / 31 = 14.77
It is actually a rational answer meaning it continues to go in terms (and doesn't stop) so I only included the smallest decimal degits in the answer.
Answer: 14
Step-by-step explanation:
0 1 4
3 1 ⟌ 4 5 8
- 0
4 5
- 3 1
1 4 8
- 1 2 4
2 4
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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Zoe is a party planner. She orders cupcakes and sheet cakes from Creative Cakes whenever she needs beautiful cakes to serve. One sheet cake serves 24 people and 2 dozen cupcakes serve 24 people. For the Benson's bridal shower she ordered 8 dozen cupcakes and 3 sheet cakes and paid $160.81. For the Nygaard's 50th wedding anniversary she ordered 6 dozen cupcakes and 15 sheet cakes and paid $342.33. She is planning a graduation party for her niece's high school class. She wants the party to be nice but she offered to pay for the cakes herself so she wants to choose the most economical plan. Zoe estimates 250 people will attend the party.
Full question:
Zoe is a party planner. She orders cupcakes and sheet cakes from Creative Cakes whenever she needs beautiful cakes to serve. One sheet cake serves 24 people and 2 dozen cupcakes serve 24 people. For the Benson's bridal shower she ordered 10 dozen cupcakes and 4 sheet cakes and paid $186.44. For the Nygaard's 50th wedding anniversary she ordered 2 dozen cupcakes and 15 sheet cakes and paid $259.66. She is planning a graduation party for her niece's high school class. She wants the party to be nice but she offered to pay for the she wants to choose the most economical plan. Zoe estimates 250 people will attend the party
Select the most economical choice below:
Zoe should buy sheet cakes because they cost $12.38 for one sheet cake.
Zoe should buy sheet cakes because they cost $15.66 for one sheet cake.
Zoe should buy cupcakes because they cost $12.38 for one dozen cupcakes.
Zoe should buy cupcakes because they cost $15.66 for one dozen cupcakes.
Zoe should buy cupcakes because they cost $12.38 for two dozen cupcakes.
Answer:
Zoe should buy cupcakes because they cost $12.38 for two dozen cupcakes.
Explanation:
If there are 250 people attending the high school class graduation party, then 24 people each within 250 people in total would get 2 dozen cupcakes worth $12.38 each.
Therefore there are 250/24 = 10.41 groups (10 groups approximately or 10.41×2=20.82 dozens of cupcakes required)
Zoe would need to spend 10.41×$12.38= $128.88 to buy the cupcakes for the party
For which value of x is this equation true?10 + x ÷ 3 = 12
Answer:
Hi
please mark brainliest ❣️
Thanks
Step-by-step explanation:
10 + x / 3 = 12
Cross multiply
10 + x = 12× 3
10 + x = 36
Collect like terms
x= 36 - 10
x = 26
Plz help me ..?????a........
Answer:
Hope it's correct
Step-by-step explanation:
I believe it's week 2.
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
A cruise ship has 2,400 regular passengers. Children makes up 120 of them, 23 are teenagers and the rest are adult passengers. What fractional part of the regular passengers are the adult passengers?
Answer:
\( \frac{2257}{2400} \)
Step-by-step explanation:
2400 - (120+23)
=2400 - 143
=2257
Therefore,
2257
2400
you mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quart of purple paint. How much blue paint and how much red paint do you use?
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.
Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,
x / y = (1/2) / (1/3)
x / y = 3/2 ...1
x + y = 5 ...2
From equations 1 and 2, then we have
(3/2) y + y = 5
(5/2) y = 5
y = 2 quart
Then the value of 'x' is given as
x + 2 = 5
x = 3 quart
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
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What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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Please explain how to solve this
The solution to the variables are x = 7 and y = 4
How to determine the solution to the variables?From the question, we have the following parameters that can be used in our computation:
Shape = Triangle
The marks on the triangles imply that
The visibly smaller triangle is an equilateral triangleThe other triangle is an isosceles triangleSo, we have the following representation
3x - 5 = 5y - 4
3x - 5 = y + 12
Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4
y + 12 = 5y - 4
Evaluate the like terms
4y = 16
So, we have
y = 4
Substitute y = 4 in 3x - 5 = y + 12
3x - 5 = 4 + 12
So, we have
3x = 21
This gives
x = 7
Hence, the values are x = 7 and y = 4
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simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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Find a, b & c value
The value of a, b and c are found as 6, 10 and 2 respectively.
Explain about the exponents of the number?Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.
For instance, 43 instructs you to divide by three the number four. The base of a power is the integer being increased, and the exponent or power is the superscript number it above base.A number's exponent shows the amount of times the number has been multiplied by itself.The given expression is;
\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)
Solving expression using the law of indices.
\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)
\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)
Comparing powers of both sides:
a = 6
8 = b-2 : b = 10
c = 2
Thus, the value of a, b and c are found as 6, 10 and 2 respectively.
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