Find the 16th term in the arithmetic sequence 9, 3, –3, –9, –15,...
PLEASE HURRYYY!!!! U.S. Bureau of Labor Statistics, 2006.
Jasmine wants to enter a career with median earnings of at least $33,500, but she doesn't want to go to college.
Which of the following occupations fits her plan?
a. Makeup artist
b. Mathematician
C. Private detective
d. Massage therapist
The occupations that fits her plan is Private detective
How would you define statistics?
Statistics is the study of data gathering, analysis, presentation, and interpretation. Early government demands for census data and knowledge of various economic operations were a major source of inspiration for the study of statistics.
What three sorts of statistics are there?
They are (i) the mean, (ii) the median, and (iii) the mode. The study of statistics involves gathering, analyzing, interpreting, presenting, and organizing data in a particular way.
According to the table, the private detective and mathematical activities are the professions that have an average pay over $ 33,500, desired by Jasmine. She must attend college, which she does not want to do, in order to become a math teacher. She can therefore choose to work as a private investigator.
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PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I belive c
Step-by-step explanation:
which of the points A(5,6) or B(5,3) is closer to point C(-3,2)
The solution is
The distance between the point A and C is greater than the distance between the points B and C
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the first point be = A
The value of A = A ( 5 , 6 )
Let the second point be = B
The value of B = B ( 5 , 3 )
Let the reference point be C = C ( -3 , 2 )
Now , the distance between the points A and C = P
The distance between the points B and C = Q
Now , the value of P is calculated from the distance formula
Distance Q = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Substituting the values in the equation , we get
P = √ ( 5 - ( - 3 ) )² - ( 6 - 2 )²
P = √ ( 8 )² + ( 4 )²
P = √ ( 64 + 16 )
P = √80 units
Now , the value of Q is calculated from the distance formula
Substituting the values in the equation , we get
Distance Q = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Q = √ ( 8 )² + ( 1 )²
Q = √ ( 64 + 1 )
Q = √65 units
So , the value of Q is less than value of P
Therefore , the distance of point B to C is lesser than point A to C
Hence , The point B ( 5 ,3 ) is closer to the point C ( -3 , 2 )
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round off to the nearest 10 "728.35"
Answer:
730:35
Step-by-step explanation:
that's the answer
Find the value of the discriminant. Describe the number and type of root for the equation.(explain by step by step please!)(I need rlly need help on this one!)
2x^2+10x+9=9x
The value of the discriminant is -71. The roots of the equation are imaginary and two in number.
We are given a quadratic equation. The equation is given below.
2x² + 10x + 9 = 9x
We will simplify this equation.
2x² + x + 9 = 0
We need to find the discriminant of the equation. If the general quadratic equation is represented by ax² + bx + c = 0, then the discriminant is given below.
D = b² - 4*a*c
D = 1² - 4(2)(9)
D = 1 - 72
D = -71
The discriminant is negative, so no real roots exist for the given quadratic equation. Thus, there exist two imaginary roots for the given quadratic equation.
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The volume of a right cone is 448 pi units to the 3rd . If its height is 21 units, find its radius.
The radius of the cone if the volume of a right cone is 448 π cube units and if its height is 21 units is 8 units.
First, let us understand the cone:
It is a solid or hollow item with a round or approximately circular base that tapers to a point.
The volume of the cone is given by;
Volume = 1/3 π r^2 h
where r = radius of the base of the cone
and h = height of the cone
We are given;
The volume of a right cone is 448 π cube units.
Height is 21 units.
Put the values in the volume formula;
448 π = 1/3 π r^2 * 21
448 π = 7 π r^2
r^2 = 448 π / 7 π
r^2 = 64
r = 8 units
So, the radius of the base is 8 units.
Thus, the radius of the cone if the volume of a right cone is 448 π cube units and if its height is 21 units is 8 units.
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Answer:
8
Step-by-step explanation:
don't know how to explain it but I had he same problem and I got 8 and it was right.
Can anyone help me with this proof
Last week, Jennifer volunteered at the hospital for 12 hours. This week, she volunteered for 15 hours. What is the percent increase in the number of hours she worked?
Jennifer had 25 percent increase in number of hours worked
Percentage IncreasePercentage increase describes the eventual increase in the quantity in percent form. The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.
Data;
Last week = 12 hoursThis week = 15 hoursPercentage Increase = [(15 - 12) / 12] * 100
Percentage Increase = 3/12 * 100
Percentage Increase = 0.25 * 100
Percentage Increase = 25%
The increase is 25%
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please help with this aswell these are just confusing
The solutions of the quadratic equation are:
x = (-1 +√8*i)/4x = (-1 -√8*i)/4How to solve the quadratic equation?A general quadratic equation:
a*x^2 + b*x + c = 0
Has solutions of the form:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4a} }{2a}[/tex]
In this case, the quadratic is:
2*x^2 + x + 2 = 0
a = 2
b = 1
c = 2
Then using above formula we get the two solutions:
[tex]x = \frac{-1 \pm \sqrt{1^2 - 4*2*2} }{2*2} \\\\x = \frac{-1 \pm \sqrt{-8} }{4}[/tex]
So the solutions are:
x = (-1 +√8*i)/4
x = (-1 -√8*i)/4
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The ratio of donuts to muffins at the restaurant is 10:6. If the total number of breakfast treats 48, how many muffins are there?
Answer:
Step-by-step explanation:
there would be 18 muffins.
if you multiply each number by 3 then add them it will end up at 48.
6x3=18
10x3=30
30+18=48
30:18
a doctor is measuring the average height of male students at a large college. the doctor measures the heights, in inches, of a sample of 40 male students from the baseball team. using this data, the doctor calculates the 95% confidence interval (63.5, 74.4). which one of the following conclusions is valid?
The correct conclusion is:
"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."
Given,
At a huge institution, a doctor is determining the typical height of the male students.
Inches are used to measure the heights of a sample of 40 male baseball team players.
The doctor computes the 95% confidence interval using this information (63.5, 74.4).
The following conclusions is valid:
"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."
We can guarantee that the target variable will be within the confidence interval for a given confidence level since we know the confidence interval reflects an interval.
The true mean of heights for male students at the college where the doctor measured heights is represented by the provided case's confidence level of 95% and confidence interval of (63.5, 74.4).
The doctor is therefore 95% certain that the range of the mean height of male students at the college is valid (63.5, 74.4).
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A student was asked to name all values of n that make the relation a function. Correct the error. Justify your answer.
{(2,8), (6,0), (4,2), (2n,n)}
n can be any value except 2,6, or 4
For n as 5,7,8 and 9 the relation will become function
What is a function?A relation is a function if it has only One y-value for each x-value.
The given relation is two comma eight comma six comma zero comma four comma two comma two times of n comma n.
{(2,8), (6,0), (4,2), (2n,n)}
We need to make it function for which n should not be 2,6, or 4.
When n is 1, it is not function
n is 3, it is not function
n is 5, it is function
n is 7, it is function
n is 8, it is function
n is 9, it is function
Hence for n as 5,7,8 and 9 the relation will become function
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what is the probability that in seven rolls of a six-sided die, the result of 2 appears exactly 4 times?
1/6 is the probability that in seven rolls of a six-sided die, the result of 2 appears exactly 4 times
Define Probability
Probability can be defined as the likelihood or chance of an event occurring.
Probability is a branch of Mathematics that deals with the calculation on the chances of happening of a particular event.
The probability of getting some number in a cube corresponds to 1/6, the cube has six sides.
P(1) =1/6
P(2) =1/6
P(3)=1/6
P(4)= 1/6
P(5)=1/6
P(6)= 1/6
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8
17) A hot-air balloon is at a height of 2,250 feet. It begins to descend at a rate of 150 feet per
minute. Write an expression to model its height after m minutes. Then evaluate the expression for 2,
4, 6, 8, and 10 minutes.
A hot-air balloon is at a height of 2,250 feet. It begins to descend at a rate of 150 feet per minute.
In context, after 6 minutes the balloon is at 1,350 ft, after 8 minutes the balloon is at 1,050 ft, and after 10 minutes the balloon is at 750 ft.
So for this, since the rate is linear we will be using the slope-intercept form, which is y = mx+b (m = slope/rate of change, b = y-intercept)
Since the rate of change "descends 150 ft per min", the m variable is -150.
The y-intercept is, in this case, the height of the balloon at 0 mins, or the starting height. Since the balloon "is at a height of 2250 ft", the b variable is 2250.
Putting our equation together, its y = -150x + 2250.
Since time is our independent variable, plug in 6, 8, and 10 mins into the x variable to solve for their heights:
y = -150(6)+2250
y = -900+2250
y = 1350
y = -150(8)+2250
y = -1200+2250
y = 1050
y = -150(10)+2250
y = -1500+2250
y = 750
Hence the answer, In context, after 6 minutes the balloon is at 1,350 ft, after 8 minutes the balloon is at 1,050 ft, and after 10 minutes the balloon is at 750 ft.
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to exercises 4.141 and 4.137. suppose that y is uniformly distributed on the interval (0, 1) and that a > 0 is a constant. a give the moment-generating function for y. b derive the moment-generating function of w
The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t
Given that,
The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.
The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)
The given interval is (0,1)
Here a =0;
b=1;
Now substitute the values of a and b in the above moment generating function we get,
y=eⁿᵇ - eⁿᵃ / n(b-a)
y=e^1-e^0/t(1-0)
y= e-1/t
Therefore, the derivation of the moment generating function is e-1/t
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Members of a lacrosse team raised $2863.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $74 per player for meals. Which equation or tape diagram could be used to represent the context if xx represents the number of players the team can bring to the tournament?
Find the value of y. Pls help
simplify the expression
(0.2a^2b^3)(-5a^3b)^2
The simplified expression for (0.2a²b³)(-5a³b)² is given as follows:
5a^8b^5.
What is the simplified expression?The expression for this problem is given as follows:
(0.2a²b³)(-5a³b)²
First we apply the power of power simplification, in which the square of each term inside the parenthesis is calculated as follows:
Square of -5: 25.Square of a³: a^6 -> keeps the base a and multiplies the exponents 3 and 2.Square of b: b² -> keeps the base b and multiplies the exponents 1 and 2.Now the expression is:
(0.2a²b³)(25a^6b²).
Then:
0.2 x 25 = 5 -> multiplies the numeric constants.a² x a^6 = a^8 -> product with terms of same base and different exponents, keep the base and add the exponents.b³ x b² = b^5 -> same as above, keeps the base b and adds the exponents 3 and 2.Hence the simplified expression is:
5a^8b^5.
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2. Last year, 70% of 1 million Philadelphians got their flu shots. About 2% of people who got
their shot got sick with the flu. 6% of people who did not get their flu shot got sick. What is
the probability that a Philadelphian who got the flu got a flu shot? Using bayes rule
The conditional probability that a Philadelphian who got the flu got a flu shot is of:
0.4375 = 43.75%.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering the outcome of a previous event.
The formula is presented as follows:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which each probability in the formula is described as follows:
P(B|A) is the probability of the event B happening, given that the event A happened.[tex]P(A \cap B)[/tex] is the probability of both the events A and B happening.P(A) is the probability of the event A happening.In the context of this problem, the events are described as follows:
Event A: Got the flu.Event B: Got the flu shot.The probability of people who got the flu is obtained as follows:
2% of 70%. (got the shot).6% of 30%. (did not get the shot).Hence:
P(A) = 0.02 x 0.7 + 0.06 x 0.3 = 0.032.
The probability of both getting the flu and the shot is:
P(A and B) = 0.02 x 0.7 = 0.014.
Hence the conditional probability that a Philadelphian who got the flu got a flu shot is calculated applying the conditional probability formula as follows:
P(B|A) = P(A and B)/P(A) = 0.014/0.032 = 0.4375 = 43.75%.
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What greater number of bicycles had the company previously produced to make the same profit? Round your answer to the nearest tenth.
million bicycles
Answer:
Step-by-step explanation:
black wombat in the dessert jungle
i know its wrong but its right
trust it
the process
what is the answer to this?
Answer:
79?
Step-by-step explanation:
help please.................................................
Answer:
[tex]8 \sqrt{2} [/tex]
Step-by-step explanation:
This is a special right triangle with angle measures 45°-45°-90°
and side lengths represented with a-a-a√2 respectively
a is given as 8 here so a√2 would be 8√2 the answer is c.
Describe the type of association between x and y for each set of data. Explain.
NO LINKS!! Please help me with this polynomial function activity 6. Also make a graph.
Answer:
x-intercepts: -4, -2, 1 and 3
y-intercept: 24
[tex]\begin{array}{|c|c|c|c|c|c|}\cline{1-6}x&-5&-3&0&2&4\\\cline{1-6}y&144&-24&24&-24&144\\\cline{1-6}\end{array}[/tex]
Step-by-step explanation:
Given polynomial:
[tex]y=(x+4)(x+2)(x-1)(x-3)[/tex]
The x-intercepts are the points at which the curve intersects the x-axis, so when the function equals zero.
Zero Product Property
If a ⋅ b = 0 then either a = 0 or b = 0 (or both).
Therefore, to find the x-intercepts, set each factor of the given polynomial equal to zero and solve for x:
Therefore:
[tex]\implies (x+4)=0 \implies x=-4[/tex]
[tex]\implies (x+2)=0 \implies x=-2[/tex]
[tex]\implies (x-1)=0 \implies x=1[/tex]
[tex]\implies (x-3)=0 \implies x=3[/tex]
Therefore, the x-intercepts are -4, -2, 1 and 3.
The y-intercept is the point at which the curve intersects the y-axis, so when x is zero.
To find the the y-intercept, substitute x = 0 into the given polynomial:
[tex]\implies y=(0+4)(0+2)(0-1)(0-3)[/tex]
[tex]\implies y=(4)(2)(-1)(-3)[/tex]
[tex]\implies y=(8)(-1)(-3)[/tex]
[tex]\implies y=(-8)(-3)[/tex]
[tex]\implies y=24[/tex]
Therefore, the y-intercept is 24.
To find the other points on the graph, substitute each value of x into the polynomial and solve for y:
[tex]\begin{aligned}x=-5 \implies y&=(-5+4)(-5+2)(-5-1)(-5-3)\\&=(-1)(-3)(-6)(-8)\\&=(3)(-6)(-8)\\&=(-18)(-8)\\&=144\end{aligned}[/tex]
[tex]\begin{aligned}x=-3 \implies y&=(-3+4)(-3+2)(-3-1)(-3-3)\\&=(1)(-1)(-4)(-6)\\&=(-1)(-4)(-6)\\&=(4)(-6)\\&=-24\end{aligned}[/tex]
[tex]\begin{aligned}x=2 \implies y&=(2+4)(2+2)(2-1)(2-3)\\&=(6)(4)(1)(-1)\\&=(24)(1)(-1)\\&=(24)(-1)\\&=-24\end{aligned}[/tex]
[tex]\begin{aligned}x=4 \implies y&=(4+4)(4+2)(4-1)(4-3)\\&=(8)(6)(3)(1)\\&=(48)(3)(1)\\&=(144)(1)\\&=144\end{aligned}[/tex]
Therefore:
[tex]\large\begin{array}{|c|c|c|c|c|c|}\cline{1-6}x&-5&-3&0&2&4\\\cline{1-6}y&144&-24&24&-24&144\\\cline{1-6}\end{array}[/tex]
An exercise mat is 3.3 times as long as it is wide. Write expressions in simplest form that represent the
perimeter and the area of the exercise mat.
The expression that represents the perimeter is 8.6b and the expression that represents the area of the exercise mat is 3.3b² .
In the question ,
it is given that ,
the exercise mat is is 3.3 times as long as it is wide .
let the width of the exercise mat be = "b" .
So , the length of the exercise mat will be = 3.3b
The Perimeter of the exercise mat = 2( length + width)
= 2(3.3b + b)
= 2(4.3b)
= 8.6b
the perimeter is = 8.6b
The Area of the exercise mat = length × width
= 3.3b × b
= 3.3b²
the area is = 3.3b²
Therefore , The expression that represents the perimeter is 8.6b and the expression that represents the area of the exercise mat is 3.3b² .
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write the equation for the line which is perpendicular to the line y=-3/2+1 and which passes through the point (-6,-9)
Using the formula of equation of perpendicular line, the new equation is y = 2/3x - 5
Equation of Perpendicular LineA perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes. Coordinates and line equation is the prerequisite to finding out the perpendicular line.
The equation of perpendicular line is given as
(y - y₁) = m(x - x₁)
m = slope of the line.
But the slope of a perpendicular line is given as
m₁m₂ = -1
-3/2m₂ = -1
m₂ = 2/3
The slope of the new equation is 2/3
Using equation of a perpendicular line;
(y - y₁) = m(x - x₁)
y - (-9) = 2/3(x -(-6))
y + 9 = 2/3(x + 6)
y + 9 = 2/3x + 4
y = 2/3x - 5
The equation of perpendicular line is y = 2/3x - 5
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Help please tho please help me
Answer:
b is the answer
Step-by-step explanation:
hi hope it helps
243 x 35
Please explain how to do it step by step. For my little sister, this is math I haven’t done in 4 years lol
Answer:
8505
Step-by-step explanation:
Step 1
Firstly, work out 5 × 243. The smaller figures in green are the tens figures carried over. Working from right to left:
5 × 3 = 15
Put the 5 in the appropriate column and carry the 1.
5 × 4 + 1(carried) = 21
Put the 1 in the appropriate column and carry the 2.
5 × 2 + 2(carried) = 12
Put the 2 in the appropriate column and carry the 1.
Step 2
Lastly, work out 30 × 243.
This can be written as 3 × 243 × 10.
Because we are multiplying by 10, we place 1 zero to the right and then work out 3 × 243.
3 × 3 = 9
3 × 4 = 12
Put the 2 in the appropriate column and carry the 1.
3 × 2 + 1(carried) = 7
Step 3
Finally, the 2 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.
0 + 5 = 5
9 + 1 = 10
Put the 0 in the appropriate column and carry the 1.
2 + 2 + 1(carried) = 5
7 + 1 = 8
So: 243 × 35 = 8505
Alex, Stephen and Bridget share some sweets in the ratio 5:4:2. Alex gets 21 more sweets than Bridget. How many sweets are there altogether?
Alex, Stephen and Bridget have 77 sweets altogether.
According to the question,
We have the following information:
Alex, Stephen and Bridget share some sweets in the ratio 5:4:2. Bridget gets 21 more sweets than Alex. (This is the correct statement otherwise the answer will be in negative which is not possible.)
Now, let's take the number of sweets Alex has to be 5x, that of Stephen to be 4x and that of Bridget to be 2x.
Now, we have the following expression:
2x+21 = 5x
Subtracting 2x from both sides:
21 = 5x-2x
3x = 21
x = 21/3
x = 7
Now, we have the following number of sweets:
Alex = 5*7 = 35
Stephen = 4*7 = 28
Bridget = 2*7 = 14
Now, total number of sweets:
35+28+14
77
Hence, Alex, Stephen and Bridget have 77 sweets altogether.
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