Answer:
A) 2
Step-by-step explanation:
m = 6 / 3 = 2 / 1 = 2
1. Find the geometric mean of the
two numbers.
4 and 42.25
Answer:
13
Step-by-step explanation:
Given the first term and common difference, find the first four terms and the formula
1) a = 11 + 9n, a
2) a = 65 - 35n, a
Daniel earned $18 at his job when he worked for 2 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
H E
2 18
4 36
6 54
8 72
10 90
H = Hours
E = Earned
These are all equivalent.
If you want to do this on your own, write out the multiplication then remove odd ones, that's exactly what I did.
Please help me ASAP please please please
MNOP is a parallelogram and ∠MQN ≅ ∠ORP. MN ≅ PO. MN ║ PO. Using these statements, we can prove that the ΔMQN ≅ ΔORP.
What is a parallelogram?A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
Given that the quadrilateral MNOP is a parallelogram and ∠MQN ≅ ∠ORP.
To prove that ΔMQN ≅ ΔORP, the correct statements are:
MNOP is a parallelogram and ∠MQN ≅ ∠ORP.
MN ≅ PO
MN ║ PO
Using these statements, we can prove that the ΔMQN ≅ ΔORP.
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X=
2 Michael bakes a soft pretzel and a loaf of bread. Use the system of equations to
find c, the amount of flour, in cups, needed for the soft pretzel, and b, the amount
of flour, in cups, needed for the loaf of bread. Show your work.
b = 24c
5
16+ 4c = 2/
SOLUTION
The value of b is 3.
The value of c is 1/8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 5 = 9 is an equation.
We have,
Two equations given are:
b = 24c ____(1)
(1/4)b + 4c = 5/4 _____(2)
Putting (1) in (2) we get,
(1/4)24c + 4c = 5/4
6c + 4c = 5/4
10c = 5/4
c = 5/40
c = 1/8
Putting c = 1/8 in (1) we get,
b = 24/8
b = 3
Thus,
b = 3.
c = 1/8.
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(20\%) Suppose the demand for chocolate ice cream in UNF is described by the equation QD=20−P and the supply was described by QD=−40+P. a. Write inverse demand and inverse supply functions. b. What are the equilibrium price and quantity? c. Graph the demand and supply curves. Label all relevant axes, curves, and points (Xintercepts, Y-intercepts, and equilibrium) in the graph.
The inverse demand function is P = 20 – QD, and the inverse supply function is P = QS + 40. The equilibrium price is 30, and the equilibrium quantity is -10. The graph illustrates these relationships.
a. To find the inverse demand and inverse supply functions, we need to solve the given demand and supply equations for the price (P).
Demand equation: QD = 20 – P
Inverse demand: P = 20 – QD
Supply equation: QS = -40 + P
Inverse supply: P = QS + 40
b. To determine the equilibrium price and quantity, we need to set the demand and supply equations equal to each other and solve for the price (P).
20 – QD = QS + 40
Since both QD and QS represent the same quantity, we can substitute QD with QS:
20 – QS = QS + 40
Rearranging the equation:
2QS = -20
Dividing by 2:
QS = -10
Substituting the value of QS back into either the demand or supply equation to find the equilibrium price:
P = QS + 40
P = -10 + 40
P = 30
So the equilibrium price is 30, and the equilibrium quantity is -10.
c. Let’s graph the demand and supply curves to illustrate this. We’ll use the price (P) on the vertical axis and the quantity (Q) on the horizontal axis.
Demand curve:
- Set P = 0 in the inverse demand equation to find the x-intercept:
0 = 20 – QD
QD = 20
- Set QD = 0 to find the y-intercept:
P = 20 – QD
P = 20 – 0
P = 20
Plot the points (0, 20) and (20, 0) on the graph and draw a straight line connecting them.
Supply curve:
- Set P = 0 in the inverse supply equation to find the x-intercept:
0 = QS + 40
QS = -40
- Set QS = 0 to find the y-intercept:
P = QS + 40
P = -40 + 40
P = 0
Plot the points (0, 0) and (-40, 0) on the graph and draw a straight line connecting them.
Finally, mark the equilibrium point where the demand and supply curves intersect. In this case, it’s (Q = -10, P = 30).
The graph should show the demand curve sloping downwards from the top left to the bottom right, the supply curve sloping upwards from the bottom left to the top right, and the equilibrium point (Q = -10, P = 30) where the curves intersect.
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If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?
Answer:
\(x\geq 3\) is the inequality to find the Domain of f(x)
Step-by-step explanation:
When we have a function where the variable "x" is inside a square root, we find its Domain by looking for all those values x for which the function is defined for the root, which means all the x-values that make the expression inside the root larger than or equal to zero, avoiding the values smaller for which the square root is not defined.
Therefore, in this case , for
\(f(x)=\sqrt{x-3}\)
we ask for the x-values that verify:
\(x-3\geq 0\\x\geq 3\)
where we have isolated x on one side of the equal sign.
This would be the definition of the Domain of the function.
Answer:
The answer is C
Step-by-step explanation:
Robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. 1 2 b. 3 20 c. 3 10 d. 1 5 e. 1 3
The number selected is the square of a natural number is 1/5.
What is probability and example?
Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .The square number between 1 and 20 = 1,4,9,16
The number of squares between 1 and 20 = 4
The total numbers between 1 and 20= 20
The probability that the number selected is the square of a natural number is given by -
P = Square number /total numbers
P = 4/20 = 1/5
Therefore, the number selected is the square of a natural number is 1/5.
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(1 point) find the minimum sample size needed to be 99% confident that the sample variance is within 50% of the population variance.
The minimum sample size need for the given condition is 14
What is Confidence Level in Statistics?
The proportion of likelihood, or certainty, that the confidence interval will include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.
Solution:
The minimum sample sixe required when,
Confidence Level = 99%
Variance = 50%
Generally going through the table
Minimum sample size is
X = 14
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Find the circumference of the circle to the nearest tenth. Use 3.14 for π. It is Zeny’s birthday. Teddy wants to buy a round cake for his presents. The radius of the cake is 11cm. What is the circumference of the cake?
Work Shown:
C = 2*pi*r
C = 2*3.14*11
C = 69.08
C = 69.1
This is the approximate distance around the circle, aka the perimeter.
Answer:
Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm
Step-by-step explanation:
Given:
Radius of the cake :- 11cmTo find:
Circumference of the cakeSolution:
To find the circumference of the circle we are require radius and which is already mentioned in the Ques.
Formula
Circumference of circle =2πrCircumference of cake = 2*3.14*11
Circumference of cake= 22*3.14
Circumference of cake = 69.08cm
Hence, the circumference of cake is 69.08cm.
Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm
what is 1 oz in tbsp
There are 2 tablespoons in 1 fluid ounce. This conversion is often used in cooking and baking recipes, where ingredients are measured in ounces or tablespoons.
Fluid ounces and tablespoons are both units of volume used to measure liquids in cooking and baking recipes. One fluid ounce is equal to 29.5735 milliliters or approximately 2 tablespoons, which is equivalent to 6 teaspoons. Therefore, there are 2 tablespoons in 1 fluid ounce.
This conversion is important to know when following recipes that call for ingredients in fluid ounces or tablespoons. It allows for accurate measurement of ingredients, which is crucial for successful cooking and baking. Other common units of volume used in the kitchen include teaspoons, cups, and quarts, among others.
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EASY!!
What theorem is used to determine if the base angles of a triangle are congruent?
Answer:
Isosceles Triangle Theorem
Step-by-step explanation:
An isosceles triangle is a tringle that has a pair of congruent sides and a pair of congruent angles. If the triangle has two congruent angles its isosceles. So therefore, you would use the Isosceles Triangle Theorem.
The Isosceles triangle theorem is used to determine if the base angles of a triangle are congruent.
What is base angles of triangle?"The angles that have the base as one of the side of triangle. "
What is isosceles triangle?"It is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure."
For given question,
We need to find the theorem that is used to determine if the base angles of a triangle are congruent.
We know that the Isosceles triangle theorem states that 'If two sides of a triangle are congruent, then angles opposite those sides are congruent.'
In isosceles triangle any two sides of the triangle are equal in length.
If we draw the angle bisector for an angle between two equal sides, then we get two triangles.
Then by SAS congruence postulates we can prove that both the triangles are congruent and so the base angles of a triangle are congruent.
Therefore, an Isosceles triangle theorem is used to determine if the base angles of a triangle are congruent.
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Identify the data that could be quadratic.
Data will be quadratic if the second common difference is the same then therefore data in option (B) will be quadratic.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Data will be linear if the first difference between two consecutive terms is the same.
Data will be quadratic if the second common difference is the same
In option (B),
y = 2,8,17,29 and 44
The first difference will be,
( 8 - 2),(17 - 8),(29 - 17) and (44 - 29)
⇒ 6,9,12 and 15
The second difference is,
(9 - 6),(12 - 9) and (15 - 12)
⇒ 3,3 and 3
Hence "Data will be quadratic if the second common difference is the same then therefore data y = 2,8,17,29 and 44 will be quadratic.
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ADHE - ADGF below. Find the value of 'x'.
X
H н
E
8
2.
12
Given:
\(\Delta DHE\sim \Delta DGF\)
To find:
The value of x.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Since,\(\Delta DHE\sim \Delta DGF\), therefore
\(\dfrac{HE}{GF}=\dfrac{DE}{DF}\)
On substituting the values from the figure, we get
\(\dfrac{8}{12}=\dfrac{x}{x+2}\)
\(\dfrac{2}{3}=\dfrac{x}{x+2}\)
On cross multiplication, we get
\(2(x+2)=3x\)
\(2x+4=3x\)
\(4=3x-2x\)
\(4=x\)
Therefore, the value of x is 4.
Tom is running for president of the chess club, and he received 60 votes. There are 80 members in the club. What percentage of the club members voted for Tom?
Answer:
75%
Step-by-step explanation:
\(\frac{60}{80}\) = .75
To change a decimal to a percentage move the decimal 2 places to the right.
75%
Helping in the name of Jesus.
what is spearman's rank?
A population of measurements is approximately normal with a mean of 95 and a standard deviation of 15. The percentage of measurements that are 124. 4 or higher is.
The percentage of Measurements that are 124.4 or higher is approximately 0.99%.
In order to determine the percentage of measurements that are 124.4 or higher in a population of measurements that is approximately normal with a mean of 95 and a standard deviation of 15, we need to use the z-score formula.
The z-score formula is used to standardize a distribution so that it can be compared to a normal distribution with a mean of 0 and a standard deviation of 1.
The formula for calculating the z-score is: z = (x - μ) / σWhere:x is the measurement we want to standardize.μ is the population mean.σ is the population standard deviation.
The first step is to calculate the z-score for the measurement of 124.4:z = (124.4 - 95) / 15z = 2.2933The second step is to find the percentage of measurements that are 124.4 or higher using a standard normal distribution table. We look up the area to the right of the z-score of 2.2933 in the table.
The closest value in the table is 0.9901, which corresponds to a z-score of 2.33. We know that the area to the left of a z-score of 2.33 is 0.9901, so the area to the right of a z-score of 2.33 is:1 - 0.9901 = 0.0099
This means that approximately 0.99% of the measurements are 124.4 or higher.
Therefore, the percentage of measurements that are 124.4 or higher is approximately 0.99%.
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PLEASE SHOW WORK
----------------------------------------------
Answer:
Step-by-step explanation:
By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567
Answer:
option a as last digit even a d come in 3 table
Which of the following is an even function?
f(x) = |x|
f(x) = x _1
f(x) = -3x
F(x) = 2x
Please help
Select an expression that is equivalent to √/184.
18
18^3/4
18^4/3
18^12
An expression that is equivalent to ∛18⁴ is (b) (18)³/⁴
Choosing an expression that is equivalentFrom the question, we have the following parameters that can be used in our computation:
∛18⁴
Applying the law of indices, we have
∛18⁴ = (18⁴)¹/³
Evaluate
So, we have
∛18⁴ = (18)³/⁴
Hence, the solution is (18)³/⁴
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can anyone help me by explaining this? i would really appreciate it
Answer:
156
Step-by-step explanation:
please help me answer this question
9514 1404 393
Answer:
D. -17%
Step-by-step explanation:
The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...
-20/120 = -1/6
As a percentage, that change is ...
-1/6 × 100% ≈ -16.667% ≈ -17%
The electric bill changed by about -17% from March to April.
_____
Additional comment
Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.
The percentage change is found by ...
% change = ((new amount)/(original amount) -1) × 100%
Above, we have rearranged this to ...
% change = ((new amount) -(original amount))/(original amount) × 100%
In the united states, voters who are neither democrat nor republican are called independent. It is believed that 6% of voters are independent. A survey asked 12 people to identify themselves as democrat, republican, or independent. What is the probability that fewer than 4 are independent?.
The probability that fewer than 4 are independent = 0.971
Let X be a random variable representing the number of independent people out of 12 people.
Then X follows binomial distribution.
A binomial distribution considers two possibilities in 'n' trials - success or failure. Here the case of success is being independent and the case of failure is being either republican or democrat.
The probability distribution function of a binomial distribution is,
P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ
Where n is the number of trials, p - the probability of success
Here, n = 12
Since 6% of voters are independent, probability of being an independent = 6/100 = 0.06
Probability that fewer than 4 are independent = P( X = 0 or 1 or 2 or 3)
= P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Now, P(X=0) = ¹²C₀ (0.06)⁰ (1-0.06)¹²⁻⁰
= 1 x 1 x 0.4759
= 0.4759
P(X = 1) = ¹²C₁ (0.06)¹ (1-0.06)¹²⁻¹
= 12 x 0.06 x 0.94¹¹
= 0.3645
P(X = 2) = ¹²C₂ (0.06)² (1-0.06)¹²⁻²
= 66 x (0. 06)² x 0.94¹⁰
= 0.128
P(X = 3) = ¹²C₃ (0.06)³ (1-0.06)¹²⁻³
= 22 x 0.000216 x 0.94⁹
= 0.00272
Therefore, Probability that fewer than 4 are independent = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.4759 + 0.3645 + 0.128 + 0.00272 = 0.971
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which of the following is true regarding evaluating the quality of a forecast? multiple choice a biased forecast has a zero forecast error. in the mean squared error evaluation, one single observation can make a very large difference. if both forecasters have an unbiased forecast, then they are equally good at forecasting. the mean squared error is always lower than the mean absolute error when evaluating the same forecaster.
Answer: If two forecasters have unbiased forecasts, then they should have the same average error over many forecasts. In that sense, they would be equally good at forecasting.
Step-by-step explanation:
The statement that is true regarding evaluating the quality of a forecast is:
If both forecasters have an unbiased forecast, then they are equally good at forecasting.
Explanation:
A biased forecast can have a zero forecast error if the bias happens to offset the error in the forecast. However, a zero forecast error does not necessarily indicate that the forecast is unbiased.
In the mean squared error (MSE) evaluation, one single observation can make a very large difference because the errors are squared before they are averaged. Therefore, outliers can have a large impact on the MSE.
If we are evaluating the same forecaster, then the mean squared error is not always lower than the mean absolute error. It depends on the specific forecast and the distribution of errors.
However, if two forecasters have unbiased forecasts, then they should have the same average error over many forecasts. In that sense, they would be equally good at forecasting.
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What is the mean 1 -6 -6 -7 0 -5 3 -4
Answer:
-3
Step-by-step explanation:
i added up all the numbers then divided by how many numbers there was with what i got by adding them up
Answer:
The mean is -3
Step-by-step explanation:
1 -6 -6 -7 0 -5 3 -4
To find the mean you add up all the numbers and divide by the number of numbers
(1 -6 -6 -7+ 0 -5+ 3 -4)/8 =(-24)/8 = -3
Math/Geometry
HELP ASAP PLS GEOMETRY
Answer:ANSWER IS CBD by ?
Step-by-step explanation:
ok so ABC is equal to 180 degreess so /_\ would a right angle which is 90
There i a quare, with a bridge going diagonally through it. The triangle on the top and bottom are 30 60 90 triangle. What i the height of the bridge if the hypotenue of the 30 60 90 triangle i 15
The height of bridge in the square is 15 units. This is determined by using the ratio of sides in a 30-60-90 triangle and multiplying the hypotenuse by the corresponding ratio for the shorter leg, which is 1.
Let's calculate the height of the bridge step by step using the given information
In a 30-60-90 triangle, the ratio of the sides is 1:√3:2.
Given:
Hypotenuse = 15
Step 1: Determine the length of the shorter leg (height of the bridge)
Since the ratio is 1:√3:2, the length of the shorter leg can be found by multiplying the hypotenuse by the ratio corresponding to the shorter leg, which is 1.
Length of the shorter leg = 15 * 1 = 15
Step 2: Simplify the expression for the shorter leg
Since the hypotenuse of the 30-60-90 triangle is given as 15, the length of the shorter leg is also 15.
Height of the bridge = 15
Therefore, the height of the bridge is 15 units.
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SHOW WORK
To make purple paint, we need to maintain a 3:2 ratio of red paint to blue paint. Red paint costs $20 a gallon and blue paint costs $25 a gallon. A coupon gives a 10% discount on red paint and a 20% on blue paint. If you have $500 for paint, what is the maximum amount of red blue paint you can buy to make purple paint?
Answer:
red (w/discount) ... $18 per gallon
blue (w/discount) ... $20 per gallon
(3 n * 18) + (2 n * 20) ≤ 500
54 n + 40 n ≤ 500 ... 94 n ≤ 500 ... n ≤ 5 15/47
3 n = 15 gal red ... 2 n = 10 gal blue
Is this a function or not a function?
(6, 3) (5, 3) (4, 3) (3, 3)