Her claims are wrong as per my studied when Your statistics instructor claims that 60 percent of the students who take her elementary statistics class go through life feeling more enriched
She says that 60% of the students are more enriched.
total number of students = 64
if 34 people feel more enriched, the ratio of the students that feel enriched to the total number of students then is ? \frac{34}{64} = 0.53125.
converting .53125 to percentage we'd multiply by 100%.
and hence have .53125*100% =53.125%
since 53.125% is less that the 60% claimed by the instructor, then i infer that her claims are wrong
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HELP FAST!! What is another way to write x 7/3?
The way that the exponent illustrated as x ^7/3 can be written is 3✓x^7
How to explain the exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Expressing large numbers in terms of powers is known as an exponent. Therefore, the exponent describes the number of times a number has been multiplied by itself.
Exponentiation is a mathematical operation that involves the base number (b) and the exponent (or power) number (n), and is written as bn. Its pronunciation is "b (raised) to the (power of) n." Exponentiation corresponds to base multiplication when n is a positive integer; therefore, bn is the result of multiplying n bases:
In this case, it should be noted that x ^7/3 will simply be the cube root of x raised to power 7. This is illustrated as x ^7/3.
Therefore, the correct option is C.
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17. Given the following two functions:
f(x) = 5x² - 2x + 7
g(x) = 2x² + 6x +3
Then, find the following:
f (x) - g(x)
A. 7x²-8x+4
B. 7x² + 4x + 10
C. 3x² + 4x + 10
D. 3x² - 8x +4
Answer:
it's very simple D
if you throw -ve sign to g(x) sign will change
and do simple calculation
Answer:
To find the difference between the two functions, we can subtract g(x) from f(x):
f(x) - g(x) = (5x² - 2x + 7) - (2x² + 6x + 3)
= 5x² - 2x + 7 - 2x² - 6x - 3
= 3x² - 8x + 4
Therefore, the difference between the two functions is f(x) - g(x) = 3x² - 8x + 4, which is answer D.
Step-by-step explanation:
Find each missing measure.
Answer:
angle 1: 51
angle 2: 39
angle 3: 101
angle 4: 40
angle 5: 6
angle 6: 140
Step-by-step explanation:
I haven't done this in a while so hopefully this is right:) hope this helps
Which trigonometric ratios are correct for triangle def? select three options. Sin(d) = cos(e) = tan(d) = sin(e) = tan(d) =.
Answer: sin(f) are correct trigonometric ratios for triangle DEF.
Step-by-step explanation: Sin(d) = cos(e) = tan(d) = sin(e) = tan(d) = sin(f)
Line A (y=x-5) is transformed into
Line B (y = 2x + 4). Which best describes
the new slope and y-intercept?
The slope is [?],
and the line is shifted [ ].
flatter
steeper
2023 International Academy of Science. All Rights Reserved.
Jan 4
A
10:34
Answer:
See below
Step-by-step explanation:
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
The equations that could be used to find the price of one tire patch is given as follows:
4x + 1.9 = 22.222.2 – 4x = 1.9How to model the situation?The price for each tire patch is constant, meaning that a linear function is used to model the situation.
He initially had $22.20, and then for each tire purchased, his amount decays by the slope, hence the function that models the situation is given as follows:
f(t) = 22.2 - tx.
In which t is the number of tires purchased.
He purchased 4 tires, hence:
f(4) = 22.2 - 4x.
After the purchase, he had $1.90 remaining, hence:
1.9 = 22.2 - 4x.
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Please Help With This Math Question
The situations are classified as survey, observational study or experiment as follows:
3. Experiment.
4. Observational study.
5. Survey.
6. Survey.
7. Survey.
How to classify as survey, observational study or experiment?The definitions for each of these three cases are given as follows:
Survey: Measures features of a population according to a representative sample taken from the population.Observational study: Determine whether there is a relation between an existing characteristic of a population and a characteristic of interest.Experiment: Similar to an observational study, however, a change happens in the population, and the effects of the change are studied.More can be learned about surveys, observational studies and experiments at https://brainly.com/question/23966407
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Finish solving the system of equations, y = x – 15 and y = –2x + 3, using the substitution method. 1. Use substitution to create a one-variable linear equation: x – 15 = –2x + 3 2. Solve to determine the unknown variable in the equation: 3x = 18 x = 6 3. Substitute the value of the variable into either original equation to solve for the other variable. 4. Write the solution to the system of equations as an ordered pair. The solution to the system is .
The solution the system of equations y = x – 15 and y = –2x + 3 is (6, -9)
What is an equation?An equation shows the relationship between numbers and variables in an expression.
Given the system of equations:
y = x – 15 (1) and
y = –2x + 3 (2)
From equation 1, substitute y = x - 15 into equation 2 using substitution method:
x - 15 = -2x + 3
x + 2x = 3 + 15
3x = 18
x = 6
substitute x = 6 in equation 1:
y = 6 - 15 = -9
y = -9
The solution is (6, -9)
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Answer:
D. (6, -9)
Step-by-step explanation:
Edge 2023
Which of the following recursive functions could describe this sequence for term a n ? Consider the sequence 7, 4, 1, -2, ….
One possible recursive function for this sequence is a n = a n-1 - 3, where a n is the nth term in the sequence and a n-1 is the previous term.
What is function?A function is a rule or mapping that relates a set of inputs to a set of outputs. It is a mathematical expression that takes one or more inputs and produces a corresponding output. Functions are essential for solving problems in mathematics, science, engineering, and computing. They can be used to describe relationships, simplify calculations, and to create models that enable us to understand the behavior of complex systems.
This recursive function states that each successive term in the sequence is three less than the previous term. Therefore, the sequence will continue to decrease by three each time. For example, the sixth term would be -11 (a 5 -3) and the tenth term would be -21 (a 9 -3).
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Estimate the sum or difference. nine-tenths seven-eighths a. 1 b. 2 c. 0
The sum and difference between nine-tenths and seven-eighths is 71/40 and 1/40, calculated by addition and subtraction.
As per the fact, representing the words in numbers. So, nine tenths will be represented as: 9/10
Seven eighths: 7/8
Calculating the sum and difference as follows -
Sum = 9/10 + 7/8
Taking LCM we get 40
Sum = 9×4 + 7×5/40
Performing multiplication on Right Hand Side of the equation
Sum = 36 + 35/40
Sum = 71/40
Difference = 9/10 - 7/8
Difference = (9×4) - (7×5)/40
Performing multiplication on Right Hand Side of the equation
Difference = 36 - 35/40
Difference = 1/40
Hence, sum is 71/40 and difference is 1/40.
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What is the result when the number 77 is increased by 1%?
Answer:
77.77
Step-by-step explanation:
The new value =
77 + The value of the percentage increase =
77 + (1% × 77) =
77 + 1% × 77 =
(1 + 1%) × 77 =
(100% + 1%) × 77 =
101% × 77 =
101 ÷ 100 × 77 =
101 × 77 ÷ 100 =
7,777 ÷ 100 =
77.77
Answer:
= 77.77
Step-by-step explanation:
1% = 1/100 = 0.01
Then:
77*0.01 = 0.77
77 increased 1% is:
77 + 0.77 = 77.77
Write the expanded form of the expression. y(3.05x−3.75)−2.25y
The expanded from of the expression y(3.05x−3.75)−2.25y as required to be determined I. the task content is; 3.05xy - 6y.
What is the expanded from of the given expression?It follows from the task content that the expanded form of the given expression is to be determined.
Since the given expression is;
y ( 3.05x − 3.75 ) − 2.25y
Hence, by the distributive property; we have that;
3.05xy - 3.75y - 2.25y
= 3.05xy - 6y
Ultimately, the expanded form of the expression is; 3.05xy - 6y.
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A cylinder has a base radius of 7in and a height of 18in. What is its volume in cubic in, to the nearest tenths place?
The cylinder's volume is 2769.5 in³ with a base radius of 7 in and a height of 18 in.
How to calculate the volume of a cylinder?One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry.
The formula for calculating the volume of a cylinder is:
V = πr²h
where;
r is the radius = 7in
h is the height = 18in
Substitute the given parameters to have:
V = π(7)² * 18
V = 2769.5 in³
Hence the volume of the cylinder has a base radius of 7in and a height of 18in is 2769.5 in³
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A garden contains 180 flowers, each of which is either purple or pink. There are 4 beds of pink flowers and 4 beds of purple flowers. There are 45 pink flowers in each pink flower bed.
If r represents the number of purple flowers in each purple flower bed, what equation could you use to represent the number of purple and pink flowers.
pls help
The equation that will be used to represent the number of purple and pink flowers would be =
For the pink flowers = r = 180 - 4(0)
For the purple flowers = r = 180 - 4(45)
What is a garden?A garden is defined as an area that is being prepared for the purpose of cultivation of various flower, shrubs and grass.
The total number of flowers in the garden = 180
The number of pink flower beds = 4
The number of purple flower beds = 4
The number of pink flowers in each bed = 45
Therefore, the number of total pink flowers = 4 × 45 = 180
Since the pink flowers is the total of 180 which is also the quantity of flowers in the garden, the quantity of flowers in the purple bed would be = 0
Thus, 180 = 4(45) + 4(0)
For the pink flowers = r = 180 - 4(0)
For the purple flowers = r = 180 - 4(45)
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What is the greatest common factor between 636 and 132?
Answer:
12
Step-by-step explanation:
Sara can ride her bicycle 3 miles in 15 minutes. Assuming Sara's rate remains constant, which equation below could you use to determine the distance, d, Sara can ride in 50 minutes?
A.) d- 3(50) B.) d=(3/15)(50) C.) d= 3(35) D.) d= (15/3)(50)
Answer:
B
Step-by-step explanation:
Distance = rate x time
The rate is 3/15
distance = (3/15) (50)
distance = 10 miles
Candidate A Candidate B
12 20
18 30
27 45
36 ?
At this rate, if Candidate A received 36 votes, how many votes did Candidate B receive?
36
50
60
72
The number of votes the Candidate B receive is (c) 60
How to determine how many votes did Candidate B receive?From the question, we have the following parameters that can be used in our computation:
Candidate A Candidate B
12 20
18 30
27 45
36 ?
The above parameters mean that
The rate increase proportionally
Using the above as a guide, we have the following ratio
Ratio = Candidate A : Candidate B
Using one of the values, we have
Candidate A : Candidate B = 12 : 20
substitute the known values in the above equation, so, we have the following representation
36 : Candidate B = 12 : 20
Express as fraction
Candidate B/36 = 20/12
So, we have
Candidate B = 36 * 20/12
Evaluate
Candidate B = 60
Hence, the number of votes is 60
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a. State the slope of the line containing
the points (4,-3) and (-9,6).
and (-9,6).
b. What is the slope of a line parallel to
this line?
c. What is the slope of a line
perpendicular to this line?
Answer:
see explanation
Step-by-step explanation:
calculate the slope m of the line using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 3 ) and (x₂, y₂ ) = (- 9, 6 )
m = [tex]\frac{6-(-3)}{-9-4}[/tex] = [tex]\frac{6+3}{-13}[/tex] = - [tex]\frac{9}{13}[/tex]
• Parallel lines have equal slopes.
Thus slope of a parallel line is m = - [tex]\frac{9}{13}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{9}{13} }[/tex] = [tex]\frac{13}{9}[/tex]
order the sides from least to greatest
Answer:AC>BC>AB
Step-by-step explanation:We can compare the lengths of the sides with the angles given the side opposite to the largest angle is the largest and vice versa.
Angle ABC=75 greatest angle therefore the side opposite to it is the largest.
How do you solve a line segment problem?
The steps to solve a line segment problem is
1. Draw a diagram of the line segment.
2. Label the endpoints and any given information.
3. Use the given information to calculate the length of the line segment.
4. Use the Pythagorean Theorem to calculate the length of the line segment, if needed.
5. Solve for the unknown variable.
To solve a line segment problem, you must first draw a diagram of the line segment. Label the endpoints and any given information, such as the length of one of the sides of the line segment. Then you can use the given information to calculate the length of the line segment. If the length of the line segment is unknown, you can use the Pythagorean Theorem to calculate the length. After that, solve for the unknown variable, and then check your answer. With these steps, you can solve any line segment problem.
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Please select ALL of the pairs of angles that are supplementary.
The supplementary in the Diagram are Angles 1 and 2.
What are supplementary angles?
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.
From the diagram Angles 1 and 2 are angles on a straight line
Angles on a straight line are equals to 180 degree
hence, the supplementary angles are angles 1 and 2
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x~n(335, 50). Find the z-score corresponding to an observation of 284.
6.7
-1.02
-6.7
1.02
The z-score corresponding to an observation of 284 is -1.02
FIND THE Z-SCORETo calculate the z-score, you need to know the mean (μ) and standard deviation (σ) of the normal distribution. Given that X~n(335, 50), the mean is 335 and the standard deviation is 50.
The formula for the z-score is:(x - μ) / σ
Where x is the observation you want to find the z-score for. In this case, x = 284.So, to calculate the z-score for an observation of 284:(284 - 335) / 50 = -1.02
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What are the 4 basic types of line?
The 4 basic types of lines are Curved Lines, Straight Lines, Horizontal Lines, and Vertical Lines.
How do lines work?
A straight group of points that stretch in opposing directions is what is known as a line.
It is without endings on either side (infinite)It is not thick.It only has one dimension.the 4 basic types of lines are:
a) Curved Lines: A curved line is any line that is not straight. A curve results from a point that is not moving in a straight line.
b) Straight Lines: A straight line is the shortest path between any two points. We obtain a straight line if a point moves only in that direction.
c) Horizontal Lines: A horizontal line is any straight line that extends from left to right. Vertical lines are perpendicular to the y-axis and parallel to the x-axis.
d) Vertical Lines: From top to bottom or bottom to up, vertical lines are straight up and down. A vertical line is perpendicular to the x-axis and parallel to the y-axis.
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The equation y = 11x represents the calories Jamila burns when cross-country skiing, where x is time in minutes and y is number of calories. The graph below shows the calories she burns while playing basketball. Which activity burns calories at a faster rate per minute if 1,500 calories are burned in two hours while playing basketball?
The activity that burns calories at a faster rate is; Basketball
How to Interpret Linear Equation Graphs?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
We are given the equation;
y = 11x that represents the calories Jamila burns when cross-country skiing, where x is time in minutes and y is number of calories
Thus, the rate at which calories are burned is 11 calories per minutes.
In hours, this is; 60 * 11 = 660 calories per hour
From the graph, we see that the rate at which calories are burned = 1500 calories for every 2 hours. Thus;
Rate at which calories are burned = 1500/2 = 750 calories per hours
This is more than that burned when skiing
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A car rental company has two rental rates. Rate 1 is $30 per day plus $0.12 per mile. Rate 2 is $60 per day and $0.06 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking rate 2?
The number of miles you need to drive to pay less by taking rate 2 is less than 500 miles
How many miles is needed?Let
Number of miles = x
Rate 1:
30 + 0.12x
Rate 2:
60 + 0.06x
Rate 2 < Rate1
60 + 0.06x < 30 + 0.12x
60 - 30 < 0.12x - 0.06x
30 < 0.06x
divide both sides by 0.06
x < 30/0.06
x < 500 miles
Therefore, you need to drive less than 500 miles to pay less by taking rate 2.
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What is made up of 4 line segments of equal length?
Answer:
Square
Step-by-step explanation:
each side of a square is equal and there are 4 line segments
Please help, I’m extremely confused :(. I know it’s long but I’ll literally do anything!
The second inequality in the system tells us about the budget of the cost of each package of notepad.
What are inequalities?A mathematical comparison of two integers or algebraic expressions that uses the terms greater than, larger than or equal to, less than, or less than or equal represents inequalities.
Given that the budget for the notepads is $160.
Assume the cost of package of 24 is $16 for each package and the cost of package of 6 is $5.40 for each package.
The second inequality in the system of equations represents the equation of the budget that would be spent to buy the notepads.
Hence, 16x +5.40y ≤ 160 represents the budget.
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Given the line 2x – 3y = 9 and the point (4, –1), find lines through the point that are
(a) parallel to the given line and
(b) perpendicular to it.
We will find the parallel line:
y = (2/3)*x - 11/3
And the perpendicular line:
y = (-3/2)*x + 5
How to find the two linear equations?Here we start with the linear equation, we will get:
2x - 3y = 9
We can rewrite it to get:
-3y = 9 - 2x
y = 9/-3 - 2x/-3
y = -3 + (2/3)x
Remember that two lines are parallel if the lines have the same slope, so the equation of the parallel line will be something like:
y = (2/3)*x + b
And this line must pass through (4, -1), replacing these values we will get:
-1 = (2/3)*4 + b
-1 = 8/3 + b
-1 - 8/3 = b
-3/3 - 8/3 = b
-11/3 = b
So the linear equation parallel is:
y = (2/3)*x - 11/3
Now let's find the perpendicular line. Remember that two lines are perpendicular if the product between the slopes is equal to -1, then if the slope of the perpendicular line is m, we need to solve:
m*(2/3) = -1
m = -3/2
Then the perpendicular line is something like:
y = (-3/2)*x + b
To find te value of b, we need to replace the values of the point (4, -1) there, we will get:
-1 = (-3/2)*4 + b
-1 = -6 + b
-1 + 6 = b
5 = b
So the perpendicular line is:
y = (-3/2)*x + 5
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Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.07t2 + 0.007t + 5. How many seconds will it take for the frisbee to hit the ground?
–8.5 seconds
–5.0 seconds
5.0 seconds
8.5 seconds
Solving the quadratic equation, we will see that the frisbee will hit the ground after 8.5 seconds.
How many seconds will it take for the frisbee to hit the ground?
We know that the height of the frisbee is modeled by the quadratic equation:
h(t) = -0.07*t^2 + 0.007*t + 5
The frisbee will hit the ground when h(t) = 0, so we just need to solve the quadratic equation:
0 = -0.07*t^2 + 0.007*t + 5
We can just use the quadratic formula to get the solutions:
[tex]t = \frac{-0.007 \pm \sqrt{0.007^2 - 4*(-0.07)*5} }{2*-0.07} \\\\t = \frac{-0.007 \pm 1.18 }{-0.14}[/tex]
We only care for the positive solution, which is:
t = (-0.007 - 1.18)/-0.14 = 8.5
So the frisbee will hit the ground after 8.5 seconds.
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Shawna's hourly wage is 18.00 per hour. If she work overtime, she earn time-and-a-half. Show all work for full credit.
a. How much does she earn if she works 40 hours?
b. How much does she earn if she works 46 hours?
Answer:
a) $720.00
b) $882.00
Step-by-step explanation:
For part a) Shawna works 40 hours at $18.00 per hour.
Multiply to find the amount of money she made that week.
40 hrs × $18/hr
= 40 × 18
= 720
Shawna made $720.00
For part b) we can use the answer for part a, but she worked 6 hours more beyond the fulltime 40 hours. The 6 additional hours should be paid as overtime.
Her regular rate is $18/hr. Her overtime rate is "time-and-a-half" Multiply to find that pay rate.
18 × 1.5
= 27
For overtime, Shawna will earn $27/hour.
SO now part b)
She worked 46 hours.
40 × 18 = 720 and
6 × 27 = 162
Regular pay + overtime
= 720 + 162
= 882
Shawna will earn $882.00
(** if you have been studying basic math or basic algebra, this calculation totally works. But if you have been studying labor laws and intricasies of payroll processing, it could be that there is not enough information.)
