Answer:
3,-2 (dark blue)
Step-by-step explanation:
plug the answer back into x:
(3-3)(-2+2)=0
(0)(0)=0
The solution satisfies the equation!
The box plot represents the scores on quizzes in a history class.
A box plot uses a number line from 69 to 87 with tick marks every one-half unit. The box extends from 75 to 82 on the number line. A line in the box is at 79. The lines outside the box end at 70 and 84.
What value does 25% of the data lie below?
(A) the lower quartile (Q1) and it is 75
(B) the lower quartile (Q1) and it is 79
(C) the upper quartile (Q3) and it is 82
(D) the upper quartile (Q3) ans it is 84
A value which 25% of the data lie below include the following: (A) the lower quartile (Q1) and it is 75.
How to complete the five number summary of a data set?Based on the information provided about the box-and-whisker plot of this data set, we would determine the five-number summary for the given data set as follows:
Minimum (Min) = 70.Lower or first quartile (Q₁) = 75.Median (Med) = 79.Upper or third quartile (Q₃) = 82.Maximum (Max) = 84.Generally speaking, the Lower or first quartile (Q₁) represents the 25% of the data in a box-and-whisker plot and it is equal to 75.
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Ben is a hairstylist. He mixes red paste
and developer to make hair dye. 30% of
the hair dye is red paste. Ben models the
proportional relationship as y is 30% of x.
Identify what y and x represent in the
y
proportional relationship.
Answer:
So what you want to do is 100% - 30% is 70% so tyhe aznswer is 80%
Step-by-step explanation:
egtyrswfa
Find the tangential and normal components of the acceleration vector.
The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.
To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.
In mathematical terms:
at = dV/dt
an = (V^2) / R
where:
V is the velocity vector
t is time
R is the radius of curvature of the path.
The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.
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Mark Bought a concert ticket for $88 then sold it for $121. By what percent did the price go up.
Answer:
33.5%
Step-by-step explanation:
First you need to subtract the amount he bought the ticket from the amount he sold it.
$121 ₋ $88
=$33
After that you need to divide the answer you got by the original amount of the ticket multiply it by 100.
33 ÷ 88 × 100
=37.5%
I hope this helps.
pls mark me as brainliest
distance between (5,8) (-1,-4)?
Answer:
The distance between (5,8), and (-1,4) is (6, 12).
Step-by-step explanation:
All you have to do is think of it as a line. -1 is here, to get to positive 5, you must move 6; -4 is there, to get to positive 8, you must move 12.
Answer:
\(\huge\boxed{\sqrt{180} \ \ \text{or} \ \ 13.42}\)
Step-by-step explanation:
In order to find the distance between two points, we can use the distance formula. The distance formula states that the distance between two points is
\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1) ^2}\)
(5,8) is our first coordinate and (-1,-4) is our second. So, we can substitute these values into the equation.
\(\sqrt{(-1 - 5)^2 + (-4 - 8) ^2}\\\\\sqrt{(-6)^2 + (-12) ^2}\\\\\sqrt{36 + 144}\\\\\sqrt{180} \approx 13.42\)
someone please help.
The completed table with regards to terms of an expression are presented as follows;
Condition \({}\) (6·x + 3) + (5·x - 4) (-4·y - 16) - 8·y + 10 + 2·y
Exactly 3 terms N/A \({}\) N/A
Exactly 5 terms N/A \({}\) N/A
Includes a zero pair No \({}\) No
Uses distributive property No No
Includes a negative factor No
Has no like terms False False
Condition \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\) 0.25·(8·m - 12) - 0.5·(-4·m + 2)
Exactly 3 terms No \({}\) No
Exactly 5 terms Yes \({}\) \({}\) No
Includes a zero pair No \({}\) \({}\) Yes
Uses the distributive property Yes \({}\) Yes
Includes a negative factor Yes \({}\) Yes
Has no like terms No \({}\) No
What is a mathematical expression?A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.
The details of the conditions in the question are as follows;
Terms of an expression
A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction
Zero pair
A zero pair are two numbers that when added together have a zero result
Distributive property
The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend
Negative factor
A negative factor is a factor that has a negative sign prefix
Like terms
Like terms are terms consisting of identical variables with the same powers of the variable
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HELP ASAP ILL MARK BRAINLIEST
What is the distance between tho y-Intercept of the function (x) = 3(2) and tho y-intercept of the the function g(x) represented by the table below?
х
g(x)
-5
15
- 2
3
2
-13
и |
-25
2 units
3 units
O 8 units
O 9 units
Im pretty sure its 8 units
the average starting salary for this year's graduates at a large university (lu) is $20,000 with a standard deviation of $8,000. furthermore, it is known that the starting salaries are normally distributed. a. what is the probability that a randomly selected lu graduate will have a starting salary of at least $30,400? b. individuals with starting salaries of less than $15,600 receive a low income tax break. what percentage of the graduates will receive the tax break? c. what are the minimum and the maximum starting salaries of the middle 95% of the lu graduates? d. if 189 of the recent graduates have salaries of at least $32,240, how many students graduated this year from this university?
(a) Probability that a randomly selected is 9.68%; (b) 29.12% will receive the tax break; (c) Minimum and the maximum starting salaries are 35,679.71 and 4,320.29. (d) 6.3% of the total number of students.
a) P(X>30,400) = P(Z>(30,400-20,000)/8,000)
= 1-P(Z<1.3)
= 0.0968
= 9.68%
b) P(X<15600) = P(Z<(15600-20000)/8000)
= 29.12%
c) Maximum of the starting salaries of the middle 95% is
(x - 20,000)/8,000 = 1,96
x = 35,679.71
Minimum of the starting salaries of the middle 95% is
(x - 20,000)/8,000 = -1,96
x = 4,320.29
d) P(X>32,240) = 1-P(Z<(32,240-20,000)/8,000)
= 0.063
Therefore, the 189 represents 6.3% of the total number of students, means that the total number is 3,000.
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The cafeteria at Midtown Middle School surveyed 575 students about their favorite food. Find the number of students that responded for each of the following.
Fruit = 24%
Write your answer like this
Answer __________
The correct answer is 138 students.
How did we figure this out?
x = .24 * 575
x = 138 students
Therefore, the correct answer is 138 students.
A backpack is on sale for 30% off. If the sale price is $15.75, what is the original price to the nearest cent?
Answer:
$22.50
Step-by-step explanation:
As it is 30% off, $15.75 is 70% of the full price. You can then divide 15.75 by 70 [= 0.225] to get 1% of the full price. Multiply 0.225 by 100 to get the full price. 0.225 x 100 = 22.5
We can check that this answer is correct by multiplying 22.50 by 0.7. If you get 15.75 you know the answer is correct as 15.75 is 70% of the full price.
Two marksmen fire at a target simultaneously. Jiri hits the target
70% of the time and Benita hits it 80% of the time. Determine
the probability that:
a)they both hit the target. b)Jiri hits but Benita misses
c)they both miss the target
d)Benita hits but Jiri misses
The probability will be .56, .24,0.06 and .21 respectively in the question.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
Presumably, the events are independent.
the probability that they both hit the target :
p(both hits) = .8*.7 = .56.
Jiri hits but Benita misses:
P(Benita hits &Jiri misses) = P(Benita hits)×P(Jiri misses) = .8 * .3= .24
they both miss the target:
p(both misses) = .2*.3 = 0.06
Benita hits but Jiri misses:
P(Benita misses &Jiri hits) = .2*.7 = .21
Hence the probability will be .56, .24,0.06 and .21 respectively in the question.
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Suppose you are offered an investment that will pay you $800 a month for 40 years. If your required return is 6% per year, compounded monthly, what would you be willing to pay for this investment?
If you have a required return of 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, you would be willing to pay approximately $206,595.71 for this investment.
To determine the value you would be willing to pay for this investment, we can use the concept of present value. The present value of an investment is the current worth of the future cash flows it will generate. In this case, the investment will pay you $800 a month for 40 years.
To calculate the present value, we can use the formula:
\(PV = CF / (1 + r)^n\)
Where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods.
In this case, the cash flow is $800 per month, the required return is 6% per year (or 0.06/12 = 0.005 per month), and the number of periods is 40 years * 12 months = 480 months.
Plugging these values into the formula, we have:
PV = $800 / \((1 + 0.005)^(480)\)
Calculating this expression, we find that the present value is approximately $206,595.71. Therefore, you would be willing to pay approximately $206,595.71 for this investment to achieve your required return of 6% per year, compounded monthly.
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the mean score of the insurance commission licensure examination is 75 with a standard deviation of 5. what minimum percentage of the data set that lies between 50 and 100
Minimum percentage: 96% of the data set lies between 50 and 100.
The value of k:
Mean – (k) (sd) = lower limit
75 – 5K - 50
75 – 50 = 5k
25 = 5k
K = 5
For the percentage, we are using:
1 – 1/k^2.
1 - 1/ 25 = 24/25 = 96%
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1/8 x (1/3) power of 2
chegg solve these recurrence relations together with the initial conditions given. arrange the steps to their corresponding step numbers to solve the recurrence relation an 2
The solution to the recurrence relation \(a_n = 2\) depends on the initial conditions provided.
What are the initial conditions for the recurrence relation \(a_n = 2\)?To solve the recurrence relation \(a_n = 2\), we need to know the initial conditions, which specify the values of the sequence at certain indices. Let's denote the initial condition as \(a_0 = c\), where \(c\) is a constant.
Since the recurrence relation is simply \(a_n = 2\), it means that every term in the sequence is equal to 2. So, for any value of \(n\), we have \(a_n = 2\).
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How to add subtract multiply and divide radical expressions
Heres some info i learend
s but its not complete maybe i guess
Terms. We combine em by adding. The numbers or subtracting the numbers that are multiplied times the radicals.
1. Babies
You are paid $34 to babysit for 3 hours. You are paid $74 to babysit for 8 hours. Write an equation that
represents the amount y (in dollars) you are paid for babysitting x hours.
Let f be a differentiable function such that f (2) = 4 and f (2) = − 1/2 . What is the approximation for f (2.1) found by using the line tangent to the graph of f at x = 2 ?
Using line tangent, the approximation for f(2.1) is 3.95
Given,
The point (a, f(a)) is on the line tangent to the graph of y = f(x) at x = a, which has a slope of f'(a).
The equation be like;
y - f(a) / (x - a) = f'(a)
y = f'(a) (x - a) + f(a)
Using the provided data and a = 2, we can determine that the tangent line to the graph of y = f(x) at x = 2 has equation
y = f'(2) (x - 2) + f(2)
y = -1/2 (x - 2) + 4
To compute a "approximation of f(2.1) using the line tangent to the graph of f at x = 2," one must substitute x = 2.1 for f in the equation for the tangent line (2.1). You get 2.1 when you plug this in.
y = -1/2 (x - 2) + 4
y = -1/2 (2.1 - 2) + 4
y = -1/2 x 0.1 + 4
y = 3.95
That is,
The approximation for f(2.1) using line tangent is 3.95
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solve for y .
|y| +8=18
Answer:
y=10
Step-by-step explanation:
Answer:
y = ± 10
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| - a | = | a | = a
Given
| y | + 8 = 18 ( subtract 8 from both sides )
| y | = 10 , then
y = 10 or y = - 10
which of the following statements is true of the sample size for nonprobability samples
The statement that is true of the sample size for nonprobability samples is that it is typically small.
Nonprobability sampling methods are often used when it is not feasible or practical to obtain a large sample that is representative of the population.
Nonprobability samples are selected based on criteria other than random selection, such as convenience, judgment, or purposive sampling. These methods are commonly used in qualitative research or when studying hard-to-reach populations.
Since nonprobability samples do not guarantee representativeness, the focus is often on in-depth exploration rather than generalization to a larger population. As a result, researchers often work with smaller sample sizes that are more manageable and allow for in-depth analysis of the selected cases or individuals.
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FIVE TIMES A NUMBER IS AT LEAST 45
Step-by-step explanation:
five times nine is forty-five
The speed of a falling object increases at a constant rate as time increases since the object was dropped. Which graph
could represent the relationship between t, time in seconds, and s, speed in meters per second?
O
100
Object speed (m/s)
888888889
90
80
70
60
40
30
20
10
100
90
S
◆
Speed of a Falling Object
1 2 3 4 5 6 7 8 9 10 t
Dropping time (sec)
Speed of a Falling Object
The graph that could represent the relationship between time (t) and speed (s) of a falling object is the graph labeled "Speed of a Falling Object." This graph shows a positive linear relationship between time and speed.
In the graph, the x-axis represents time in seconds (t), while the y-axis represents speed in meters per second (s). As time increases, the speed of the object also increases at a constant rate. This is shown by the upward trend of the graph.
The graph starts at a speed of 0 m/s when the object is dropped and continues to increase linearly as time progresses. The slope of the line represents the rate at which the speed is increasing.
The graph accurately depicts the relationship described in the question, where the speed of the falling object increases at a constant rate with time. Therefore, the graph labeled "Speed of a Falling Object" is the appropriate representation for this relationship.
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find the volume v v of the described solid s s. a right circular cone with height 3 h 3h and base radius 3 r 3r.
The answer to your question is that the volume of the solid s, which is a right circular cone with height 3h and base radius 3r, can be calculated using the formula V = (1/3)πr^2h.
a cone can be thought of as a pyramid with a circular base. The volume of a pyramid is given by the formula V = (1/3)Bh, where B is the area of the base and h is the height. In the case of a right circular cone, the base is a circle with radius r, so the area of the base is πr^2.
Substituting B = πr^2 and h = 3h into the formula for the volume of a pyramid gives:
V = (1/3)πr^2(3h) = πr^2h
So the volume of the right circular cone with height 3h and base radius 3r is (1/3)π(3r)^2(3h) = 9πr^2h.
the volume of a cone can also be derived using calculus. By slicing the cone into thin disks, we can approximate its volume as the sum of the volumes of these disks. As the thickness of the disks approaches zero, this approximation becomes more accurate and we obtain the exact volume of the cone.
Integrating the area of a disk over the height of the cone gives:
V = ∫0^3πr^2(y/3)dy
where y is the height above the base of the cone and r = (3/y)r is the radius of the disk at that height. Evaluating this integral gives the same result as the formula derived earlier:
V = (1/3)π(3r)^2(3h) = 9πr^2h.
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Each week you collect 20 cards. Your friend collects 12 cards each week. How many cards does your friend have if you have 240 cards?
If you have 240 cards and collect 20 cards per week, you have 96 cards after 8 weeks and your freind have 240 cards in 7.5 weeks.
First, we need to find the total number of cards collected per week by both you and your friend
Total cards collected per week = your cards + friend's cards
Total cards collected per week = 20 + 12
Total cards collected per week = 32
Now, we can find the number of weeks it would take for your friend to collect 240 cards
240 cards ÷ 32 cards per week = 7.5 weeks
Since we cannot have a fractional number of cards, we need to round up to the nearest whole number of weeks. Therefore, it would take your friend 8 weeks to collect 240 cards.
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The sign test _________. A. analyzes the sign of difference scores B. is used with a repeated measures design C. uses the binomial distribution D. all of these
The sign test analyzes the sign of difference scores and is commonly used with a repeated measures design, employing the binomial distribution to examine the probability of observing specific sign patterns, i.e., Option D is the correct answer.
The sign test is a statistical test that analyzes the sign of difference scores and is commonly used with a repeated measures design. It is a non-parametric test that does not require assumptions about the underlying distribution of the data. Instead, it focuses on the direction of the differences rather than their magnitude.
In the sign test, the binomial distribution is utilized to determine the probability of observing a particular pattern of signs. Each observation is compared to a hypothesized median or reference point, and the signs of the differences are examined. If there is no systematic difference between the two conditions or treatments, the signs should be equally likely to be positive or negative.
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Using five different digits, form a 5-digit number
which represents
(a) the smallest odd number
Answer:
10235
Step-by-step explanation:
which equation represents a line which is parallel to the line 7y-5x=-42?
Housing prices in a small town are normally distributed with a mean of $156,000
and a standard deviation of $8,000 . Use the empirical rule to complete the following statement. Approximately 99.7 % of housing prices are between a low price of$_______ and a high price of$_______
So the answer here is approximately 95% of housing prices are between a low price of $143000 and a high price of $171000.
What is meant by empirical rule?The empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, is a statistical principle that asserts that, with a normal distribution, virtually all observed data will lie within three standard deviations (denoted by ) of the mean or average (denoted by ).
The empirical rule specifically states that 68% of observations will fall inside the first standard deviation, 95% will fall within the first two standard deviations, and 99.7% will fall within the first three standard deviations.
The Empirical Rule indicates that 99.7% of data that are seen to have a normal distribution fall within 3 standard deviations of the mean.
According to this criteria, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations of the mean.
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Solve the inequality
6(
Answer:
Ummm, how are we suppose to answer that?
Step-by-step explanation:
Be more specific
Please answer it now
Answer:
8
Step-by-step explanation:
x+37+x+37+90 = 180
2x + 74 = 90
2x = 16
x = 8
Answer:
x=8°
Step-by-step explanation:
JI is a diameter and K is on the circumference of a circle.
∴∠JKI=90°
also KJ=KI=x(say)
tan (x+37)=y/y=1=tan 45
so x+37=45
x=45-37=8°