Answer:
Edwin is correct.
Step-by-step explanation:
When you divide to find out how many points he scored per minute in each game, you find that he scored better in the game against the Raptors.
Mavericks game: 1.88
Raptors game: 1.93
What formula would you use to find 50 is what percent of 20?
a) p = rb
b) r = p/b
c) i = prt
d) b = p/r
We would use r = p/b formula to find 50 is what percent of 20.
The correct answer is an option (b)
For given question,
we need to find the formula which we use to find 50 is what percent of 20
We make the assumption that 20 is 100% since it is our output value.
Let the value we seek be m.
So, 100 % = 20 ...............(1)
m % = 50 ..............(2)
By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
\(\frac{100\%}{m\%}=\frac{2}{5}\)
So, m = 250%
This means, 50 is 250% of 20
The formula PERCENTAGE p = rb – The result obtained when a number is multiplied by a percent.
The formula BASE ( b = p/r) – The whole in a problem. The amount you are taking a percent of.
The formula RATE (r = p/b) – The ratio of amount to the base. It is written as a percent.
Therefore, we would use r = p/b formula to find 50 is what percent of 20.
The correct answer is an option (b)
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Write an equation to represent this relationship.
Answer:
\(y = 162 {( \frac{1}{3} )}^{x} \)
Given △ACD and △CDF, what is FD?
Can i Get some help? 5 stars!
Answer:
FD is Congruent to DC
Step-by-step explanation:
What is the area of the circle? Round to the nearest whole number, if necessary. 14 cm area: about cm2
Answer:
A=πr2
Step-by-step explanation:
Answer:
well you did not give diameter or radius but the way to solve is
Step-by-step explanation:
3.14*R*R=Area
The first four terms in a sequence are
2 5 8 11
If the 19th term in the sequence is 56.
Answer:
We can see that each term in the sequence is 3 more than the previous term. So we can find the 5th term by adding 3 to the fourth term, the 6th term by adding 3 to the 5th term, and so on.
5th term = 11 + 3 = 14
6th term = 14 + 3 = 17
7th term = 17 + 3 = 20
...
We can see that each term can be written as:
term = 2 + 3n
where n is the position of the term in the sequence starting from 0 (i.e. the first term is at position 0, the second term is at position 1, etc.)
To find the 19th term, we can substitute n = 17 into the formula:
19th term = 2 + 3(17) = 53
However, the problem states that the 19th term is actually 56. This means that we need to adjust our formula to account for any initial shift in the sequence. We can do this by subtracting a certain value from n, so that the first term in the sequence corresponds to n = 0.
Let's call this adjustment value "a". We know that when n = 0, the first term in the sequence is 2. So we can set up an equation:
2 + 3a = 2
Solving for a, we get a = 0.
Therefore, the adjusted formula for the nth term is:
term = 2 + 3(n-1)
where n is the position of the term in the sequence starting from 1.
Substituting n = 19, we get:
19th term = 2 + 3(18) = 56
So our adjusted formula is correct, and the answer is 56.
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Which makes the proportion true? AB/?= EF/GH
YOUR ANSWER IS
OPTION C. CD
Answer:
I think CD
Step-by-step explanation:
Select two choices that are true about the function f(x)=23x+14/x
Answer:
There is an asymptote at x = 0
There is an asymptote at y = 23
Step-by-step explanation:
Given the function:
(23x+14)/x
Vertical asymptote is gotten by equating the denominator to zero
Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0
Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator
Coefficient of x at the numerator = 23
Coefficient of x at the denominator = 1
Ratio = 23/1 = 23
This means that there is an asymptote at y = 23
DUE TODAY PLEASE HELP!!!!
Angle Θ, measured in radians, satisfies cos(Θ) = 0. What could the value of Θ be? Select all that apply.
a
0
b
π/4
c
π/2
d
π
e
3π/2
Step-by-step explanation:
sine and cosine have a full cycle every 180° or pi (as the full circle is 360° or 2pi).
cosine starts with the value 1 (for theta = 0), goes to 0 for 90° or pi/2, then to -1 for 180° or pi, then again to 0 for 270° or 3pi/2. and back to 1 for 360° or 2pi.
and the next cycle begins ...
so,
cos(theta) = 0 for
theta = pi/2 and 3pi/2
The choices are
1. from two separate parts
2. positively correlated
The required choice is given as, " A scatter plot is best when the data are positively correlated."
Here,
A scatterplot is a graph that displays the correlation between two variables. They are a very effective type of chart because they enable viewers to see relationships or trends that would be nearly impossible to see in any other form right away.
A positive correlation is best suited for the scatter plot.
Thus, the required choice is given as, " A scatter plot is best when the data are positively correlated.
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if you roll two fair six-sided dice, what is the probability that the sum is 4 44 or higher?
The probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 11/12
To calculate the probability of rolling two fair six-sided dice and getting a sum of 4 or higher, we first need to calculate the total number of possible outcomes.
The number of possible outcomes when rolling two dice is 6 × 6 = 36, since each die has 6 possible outcomes.
Now, let's find the number of outcomes that result in a sum of 4 or higher. We can do this by listing all the possible outcomes:
Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes
Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes
Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes
Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes
Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes
Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes
Sum of 10: (4, 6), (5, 5), (6, 4) = 3 outcomes
Sum of 11: (5, 6), (6, 5) = 2 outcomes
Sum of 12: (6, 6) = 1 outcome
Therefore, the number of outcomes that result in a sum of 4 or higher is 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 33.
Therefore, the probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 33/36 = 11/12.
To find the probability of getting a sum of 44 or higher, we need to subtract the probability of getting a sum of 43 or lower from 1:
Sum of 2: (1, 1) = 1 outcome
Sum of 3: (1, 2), (2, 1) = 2 outcomes
Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes
Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes
Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes
Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes
Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes
Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes
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at a restaurant 40% of customers typically order a salad with their meal what is the experimental probability that the next four customers will order a salad? what do used to simulate this in order to figure out the EP
Answer: 0.0256 which converts to 2.56%
Explanation:
Assuming each event is independent of one another, the probability of having four people in a row order a salad is 0.40^4 = 0.0256 = 2.56%
If for instance you only wanted to know the probability that the next three people would order salad, then you would compute 0.40^3 = 0.064 = 6.4%
An objective function and a system of linear inequalities representing constraints are given. Complete parts (a) through (c). Objective Function z = 3x - 4y Constraints 3 lessthanorequalto x lessthanorequalto 6 y greaterthanorequalto 3 x - y greaterthanorequalto -6 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system. Graph the region that represents the correct solution only once.
The system of linear inequalities consists of three constraints: 3 ≤ x ≤ 6, y ≥ 3, and x - y ≥ -6. To graph the system, we need to plot the lines corresponding to each inequality and shade the region that satisfies all three constraints.
To graph the system of linear inequalities, we start by plotting the lines corresponding to each constraint. The first constraint, 3 ≤ x ≤ 6, represents a horizontal line passing through the points (3, 0) and (6, 0). We shade the region between these two points to indicate that x can take any value within this range.
The second constraint, y ≥ 3, represents a vertical line passing through the points (0, 3) and (0, ∞). We shade the region above this line to show that y must be greater than or equal to 3.
The third constraint, x - y ≥ -6, represents a diagonal line with a slope of 1 passing through the points (0, -6) and (∞, ∞). We shade the region above this line to indicate that x - y must be greater than or equal to -6.
The region where all three shaded regions overlap represents the feasible region that satisfies all the constraints. We graph this region only once to avoid overlap and ambiguity.
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Which expression represents 6 x 6 x 6 x 4x4
A. 6² x 43
B.63 x 42
C (6 x 3) + (4 x 2)
D. (6 x 6 x 6) + (4 x 4)
A study on students drinking habits wants to determine the true average number of alcoholic drinks all UF "greek" students have in a one week! period. We know from preliminary studies that the standard deviation is around 6.3. How many students should be sampled to be within 0.5 drink! of population mean with 95% probability? 609 *305 304 610
Number of students should be sampled to be within 0.5 drink of population mean with 95% probability is 617 students.
To determine the sample size required to estimate the population mean with a given level of precision, we can use the formula for the margin of error
Margin of error = Z × (standard deviation / sqrt(sample size))
where Z is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence level, Z is 1.96.
We want the margin of error to be no more than 0.5 drinks, so we can set up the equation
0.5 = 1.96 × (6.3 / sqrt(sample size))
Solving for the sample size, we get
sqrt(sample size) = 1.96 × 6.3 / 0.5
sqrt(sample size) = 24.82
sample size = (24.82)^2
sample size = 617
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Simplify each expression and match it with the equivalent value.
Answer:
D, E, C, A
Step-by-step explanation:
Labelling the 5 top values as A, B, C, D, E
The time length in hours of a certain airplane flight can be represented by the function f(x) = 0. 0025x 0. 75, where x is the number of miles for the flight. The time length of another airplane flight in hours can be represented by the function g(x) = 0. 004x 0. 5, where x is the number of miles for the flight. Which function represents the sum of the flight time lengths, h(x) = f(x) g(x)? h(x) = –0. 029x 0. 25 h(x) = 0. 0065x – 1. 25 h(x) = 0. 029x – 0. 25 h(x) = 0. 0065x 1. 25.
The function h(x) = 0.0065x – 1.25 represents the sum of the flight time lengths of two airplane flights.
To find the sum of the flight time lengths represented by the functions f(x) and g(x), we need to multiply the functions together. Given f(x) = 0.0025x^0.75 and g(x) = 0.004x^0.5, the function h(x) = f(x) * g(x) represents the sum.
Multiplying the functions:
h(x) = (0.0025x^0.75) * (0.004x^0.5)
Simplifying the expression:
h(x) = 0.0025 * 0.004 * x^0.75 * x^0.5
h(x) = 0.0065x^1.25
Therefore, the function h(x) = 0.0065x – 1.25 represents the sum of the flight time lengths of the two airplane flights.
Understanding how to multiply functions and simplify the resulting expression allows us to determine the correct function that represents the sum. By multiplying the functions f(x) and g(x) together, we obtain the function h(x), which represents the desired sum of the flight time lengths.
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Answer:
0.0065x + 1.25
Step-by-step explanation:
if a farm that’s for sale measures one and three-quarter square miles, how many acres is it?
The farm for sale measures 1120 acres.
How many acres are equivalent to one square mile?
1 square mile= 640 acres.
To convert square miles to acres, we need to know that there are 640 acres in one square mile.
Given that the farm for sale measures one and three-quarter square miles, we can calculate the number of acres as follows:
1 and 3/4 square miles = 1.75 square miles
Number of acres = 1.75 square miles * 640 acres/square mile
Number of acres = 1120 acres
Therefore, the farm for sale measures 1120 acres.
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For which angles 0 mmbetween 0 and 2m is cos(0)
Answer: \(\frac{\pi }{2 }\) < ∅ < \(\frac{3}{4}\pi\)
Step-by-step explanation:
They are asking where is cos∅ negative. cos is your x value in the unit circle (your adjacent)
So cos∅ is neg between \(\frac{\pi }{2 }\) < ∅ < \(\frac{3}{4}\pi\)
theta is < but not = those values because cos ∅ is 0 (which is neither neg or pos.
Answer: \(\frac{\pi }{2 }\) < ∅ < \(\frac{3}{4}\pi\)
The measure of an angle is 1.6°. What is the measure of its complementary angle?
Step-by-step explanation:
From the image, let Angle 1 be x, and angle 2 be 16°
\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)
if the sun is directly over the beanstalk, how many days after the beanstalk was planted would the beanstalk reach the sun? (the sun is 92,960,000 miles from the earth, and there are 5,280 feet in 1 mile.)
What are the two rejection areas in using a two-tailed test and the 0.01 level of significance? a. Above 1.96 and below -1.96 b. Above 1.00 and below -1.00 c. Above 1.65 and below -1.65 d. Above 2.00 and below.2.00 e. Above 2 58 and below -2.58
The two rejection areas in using a two-tailed test and the 0.01 level of significance are:
Option e. Above 2.58 and below -2.58.
A two-tailed test is used when we want to test if the mean of a population is different from a specific value. In this case, we have two rejection areas, one in each tail of the distribution. The 0.01 level of significance means that we have a 1% chance of rejecting the null hypothesis when it is actually true.
To find the rejection areas, we need to look at the critical values for the 0.01 level of significance in a two-tailed test. These values are found in a Z-table or can be calculated using a calculator. The critical values for a two-tailed test and the 0.01 level of significance are 2.58 and -2.58. This means that any value above 2.58 or below -2.58 will be in the rejection areas and will lead us to reject the null hypothesis.
Therefore, the correct answer is e. Above 2.58 and below -2.58.
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Which of the following ratios are part of the ROI formula?
The ratios involved in the ROI formula are the net profit and the investment cost.
The ROI (Return on Investment) formula includes the following ratios:
Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.
Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.
The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.
ROI = (Net Profit / Investment Cost) * 100%
Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.
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Lola lives 3/4 mile from basketball court she has already walked 2/3 of the way to the basketball court
Answer:
She walked 5 miles
Step-by-step explanation:
Resolución de Problemas con Ecuaciones Lineales
o de Primer Grado.
Ejemplo
Utilizamos el lenguaje algebraico para hacer esa representación.
Sea x número de casos Infectados en Santiago
Sea 2x + 5,088 números de casos Infectados en Sto. Dgo.
Entonces x + 2x + 5,088 = 43,956
x + 2x = 43,956 - 5,088
3x = 38,868
x = 38,868
3
x = 12,912
Luego: x número de casos Infectados en Santiago = 12,912
2x + 5,088 número de casos Infectados en Sto. Dgo. = 2 (12,912) + 5,088 = 31,000 43,956
NESECITO QUE ME AYUDEN A RESOLVER EL PROBLEMA
ACTIVIDAD 1 : Según el boletín #329, d/f 10/02/2021 del Ministerio de Salud Pública, el número total de casos infectados hasta esa fecha en el Distrito Nacional, era el doble más 12,585 casos más que los que había en la provincia de la Santiago. ¿Cuántos contagiados hay en cada una de las provincias si entre las dos suman 89,766 casos?
HELP MEEEEE
Answer:
what? pls translate it to english
Simplify the difference.
One rectangle has an area of ((7x² - 4x +12) ft². A second rectangle has an area of
(4x² + 2x − 1) ft².
How many more square feet is the first rectangle ?
O 3x² - 2x + 11
O 11x² - 6x + 11
O 3x²- 6x + 13
O-4x²-5x-9
Answer:
The first rectangle is 3x² - 6x + 13 more square feet then the second rectangle
Step-by-step explanation:
A rule for subtracting polynomials
Keep the first term the same Change the subtraction sign to addition Change the sign for every termSteps
Keep the polynomial 7x²- 4x + 12 the same Change the subtraction sign to addition Change the sign for every term 4x² + 2x - 1 becomes -4x² - 2x + 13At the end of the expression is (7x²- 4x + 12) + -4x² - 2x + 1
At this point you combine like terms like you do with adding polynomials so ( 7x² + (-4x²) is 3x², (-4x) + (-2x) is (-6x), and 12 + 1 is 13) so the final answer would be 3x²-6x+13
The population of algae in an
experiment has been increasing by 30%
each day. If there were 100 algae at the
beginning of the experiment, predict the
number of algae in 5 days.
First, complete the equation:
Future Amount = 100(1 +0.30)5
Solve. Round to the nearest whole number.
Future Amount = [ ? ) algae
Enter
Given:
Initial population = 100 algae
Growth rate = 30% per day.
Time = 5 days
To find:
The future amount of population.
Solution:
The exponential growth model is
\(y=a(1+r)^t\)
where, a is the initial value, r is the rate of interest in percent and t is time period.
Substituting the given values, we get
\(y=100(1+\dfrac{30}{100})^5\)
\(y=100(1+0.30)^5\)
Now, solve this.
\(y=100(1.30)^5\)
\(y=100(3.71293)\)
\(y=371.293\)
Therefore, the future value is 371.293 algae.
Answer:
Future amount rounded = 371
Step-by-step explanation:
I = Initial population = 100 algae
R = Growth rate = 30% per day.
T = Time = 5 days
\(Future Amount = I(1+r)^{t\\\)
\(Future Amount = 100(1+0.30)^{5}\)
\(Future Amount = 100(1.30)^{5}\)
Future Amount = 371.293 = 371
Factor each expression that can be factored. For an expression that cannot be factored into a product of two binomials, explain why. x²+2 x+1 .
The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ x² + 2x + 1
Factorize the expression, then the factor of the expression will be
⇒ x² + x + x + 1
⇒ x(x + 1)x + 1(x + 1)
⇒ (x + 1)(x + 1)
⇒ (x + 1)²
The product of two binomials will be (x + 1) and (x + 1).
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A boom seller sold 50 books for $ 890.00 and earned a profit of $ 90.00. Find the cost price of 50 books.
Answer:
$ 800
Step-by-step explanation:
number of books sold = 50
money earned = $ 890.00
profit = $ 90.00
Then the price of 50 books will be (money earned) - (profit)
= 890 - 90
= 800
So, the cost of 50 books is $ 800
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The hypotenuse of a right triangle measures 16 cm and one of its legs measures 13 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
9.3
Step-by-step explanation:
a^2 + b^2 = c^2
hypotenuse is always C, and the other legs are A or B. just replace the letters with the numbers given
A^2 + (13)^2 = 16^2
a^2 + 169 = 256
a ^2 = 256-169
now take square root of both sides
✓87 = 9.3
(1 point) find the distance between the plane 2z−(x 3y)=1 and the line ⟨2t−4,2t−5,4t−2⟩
The distance between the plane and the line is 11 / sqrt(14).
Given,
The plane has the equation
2z - x - 3y = 1, which can be rewritten as
z = (x + 3y + 1) / 2.
This means that any point (x, y, z) on the plane satisfies the equation
z = (x + 3y + 1) / 2.
The line has the parametric equations
x = 2t - 4, y = 2t - 5, z = 4t - 2.
To find the distance between the plane and the line, we can find the perpendicular distance between a point on the plane and the line. We can choose any point on the plane, but it is often easiest to choose the point where the line intersects the plane.
Substituting the parametric equations for x, y, and z into the equation for the plane, we get:
z = (x + 3y + 1) / 2
4t - 2 = [(2t - 4) + 3(2t - 5) + 1] / 2
4t - 2 = 3t - 6
t = -4
So the point on the line that intersects the plane has coordinates (-12, -13, -18).
The equation of the plane is given by:
2z - x - 3y = 1
We can rewrite this equation in terms of the normal vector of the plane as:
n = < -1, -3, 2 >
which is the coefficients of x, y, and z respectively.
The line is given by the parametric equations:
x = 2t - 4
y = 2t - 5
z = 4t - 2
We need to find the distance between the plane and the line. The distance between a point and a plane is given by:
distance = |n · (P - Q)| / |n|
where n is the normal vector of the plane, P is any point on the plane, and Q is any point on the line.
We can choose any point on the plane,
for example, we can set x = y = 0, then we have,
2z - 0 - 0 = 1
z = 1/2
So, P = (0, 0, 1/2).
We can choose any point on the line, for example, we can set t = 0, then we have:
Q = (-4, -5, -2)
Now, we can substitute P and Q into the formula and calculate the distance:
distance = |n · (P - Q)| / |n|
= |-1(0 + 4) - 3(0 + 5) + 2(1/2 + 2)| / \(\sqrt{ (-1)^2}\) + (-3)^2 + 2^2)
= 11 / sqrt(14)
So, the distance between the plane and the line is 11 / sqrt(14).
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