Answer:
eh nasaan po yong tanong jan
Which statement best describes the solution set to this Inequality?
0<8+x<17
Answer: b
Step-by-step explanation:
Answer:
A: the solution set includes all values of x greater than -8 and less than 9
Step-by-step explanation:
In order to figure out what the solution set is, we have to isolate the x in the middle of the inequality. To do that, we have to subtract each aspect of the inequality by 8, which is the constant in the middle (just like we would do to isolate a variable in an equation):
\(0-8 < 8+x-8 < 17-8\\-8 < x < 9\)
Now that we have simplified the inequality, we see that x has to be greater than -8 and less than 9. So, the solution set includes all values of x greater than -8 and less than 9. In other words, the answer is A
A geometric progression has first term a ,common ratior and sum to infinity 6. A second
geometric progression has first term 2a. common ratio r^2and sum to infinity 7. Find the values
of a and r
Answer:
a = \(\frac{12}{7}\), r = \(\frac{5}{7}\)
Step-by-step explanation:
The sum to infinity of a geometric progression is
\(\frac{a}{1-r}\) ; | r | < 1
Thus for first progression
\(\frac{a}{1-r}\) = 6 ( multiply both sides by (1 - r) )
a = 6(1 - r) → (1)
Second progression
\(\frac{2a}{1-r^2}\) = 7 ← multiply both sides by (1 - r² )
2a = 7(1 - r² ) = 7(1 - r)(1 + r) ← difference of squares
2a = 7(1 - r)(1 + r) → (2)
Substitute a = 6(1 - r) into (2)
2(6(1 - r) = 7(1 - r)(1 + r)
12(1 - r) = 7(1 - r)(1 + r) ← divide both sides by (1 - r)
12 = 7(1 + r) = 7 + 7r ( subtract 7 from both sides )
5 = 7r ( divide both sides by 7 )
r = \(\frac{5}{7}\)
Substitute this value into (1)
a = 6(1 - \(\frac{5}{7}\) ) = 6 × \(\frac{2}{7}\) = \(\frac{12}{7}\)
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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Delermine whether or not the procedure described below results in a bincmial bistreution. It a is not binomial, identdy at lenst one requirtment that is not satsfied Sx hundred ofmerent voters in a region with two major political parties. A and B, are randomly selected from the population of 8000 rogistered voters. Each is asked if he or she is a mamber of political paty A, recorting Yes or No. Choosin the correct answer below. A. No, the probability of buccess is not the same in al trals B. Yes, the result is a tinemial probabsey distitution. c. No, there are more than two posstile cutcomes. D. No, the irials are hot independent and the sample is rope than 5% of the population. E. No, the number of trais is not fixed.
The procedure described does result in a binomial distribution. The correct answer is B. Yes, the result is a binomial probability distribution.
To have a binomial distribution, four conditions must be satisfied:
1. There are a fixed number of trials.
2. Each trial has two possible outcomes: success or failure.
3. The trials are independent of each other.
4. The probability of success remains the same for each trial.
In this scenario, there is a fixed number of trials (400 voters) and each trial has two possible outcomes (Yes or No). Although the probability of success (being a member of political party A) may vary among voters, it is still a binomial distribution because the question asks if the procedure described results in a binomial distribution, not whether the probability of success is the same for all trials. Therefore, the procedure satisfies the conditions for a binomial distribution, and the correct answer is B.
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Determine whether or not the procedure described below results in a binomial distribution. If it is not binomial, identify at least one requirement that is not satisfied.
Four hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of 3500 registered voters. Each is asked if he or she is a member of political party A, recording Yes or No. Choose the correct answer below.
A. No, there are more than two possible outcomes.
B. Yes, the result is a binomial probability distribution.
C. No, the trials are not independent and the sample is more than 5% of the population.
D. No, the number of trials is not fixed.
E. No, the probability of success is not the same in all trials.
Solve the following systems of equation: y = 6x 4x + y = 7
Answer:
y=21/5, x=7/10
Step-by-step explanation:
Substitute y=6x
4x=6x=7
Simplify 4x+6x
10x=7
isolate x for 10x=7:
10x=7
Divide both sides by 10:
10x/10=7/10
Simplify:
x=7/10
For y=6x substitute x=7/10
y=6*7/10
Convert element to fraction:
6/1*7/10
Cross- cancel common factor:2
3/1*7/5
Multiply fractions:
3*7/1*5
Multiply the numbers:3*7=21
=21/5
y=21/5
The solutions to the systems of equations are:
y=21/5,x=7/10
I think of a number subtract 5 and then multiply by 2 my awnser is 80 what is my number
Answer:
45
Step-by-step explanation:
45-5= 40
40*2= 80
A stock room has 3 containers of solvent, 2 are full and the other is full.
Write an improper fraction to represent the total amount solvent in the room.
The total amount of solvent in the stock room can be represented by the improper fraction: \(\[ \frac{7}{3} \]\)
To determine the total amount of solvent in the stock room, we need to add the fractions representing the amount of solvent in each container.
Container 1: Full (represented as 1 whole or \(\( \frac{3}{3} \)\))
Container 2: Full (represented as 1 whole or \(\( \frac{3}{3} \)\))
Container 3: \(\( \frac{1}{3} \)\) full
We can add these fractions:
\(\[ \frac{3}{3} + \frac{3}{3} + \frac{1}{3} = \frac{7}{3} \]\)
Therefore, the total amount of solvent in the stock room is \(\( \frac{7}{3} \)\) (seven-thirds).
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How many terms are in the expression 36x^3+27x^2-18x-9
Answer:
Four (4) terms.
Step-by-step explanation:
36x³ + 27x² - \(18x^{1}\) - \(9x^{0}\)
The gives four terms.
WILL GIVE BRAINLIEST!!!
Help Someone please!! Given the following perfect square trinomial, find the missing term: 4x2 + ___x + 49 7 14 28 36
Answer:
28
Step-by-step explanation:
\(4 {x}^{2} + - - x + 49 \\ this \: is \: the \: expanded \: form \: of \\ {(2x + 7)}^{2} = 4 {x}^{2} + 28x + 49\)
Answer:
\(\huge \boxed{28}\)
Step-by-step explanation:
The trinomial is a perfect square.
Take the square root of the first term and the last term.
\((\sqrt{4x^2}+\sqrt{49})^2\)
\(\sqrt{4x^2}=2x\\ \sqrt{49} =7\)
\((2x+7)^2\)
Expand to find the second term of the trinomial.
\((2x+7)(2x+7)\\2x(2x+7)+7(2x+7)\\4x^2 +14x+14x+49\\4x^2 +28x+49\)
The second term of the trinomial is 28x.
Use the picture below to
# 1) Your realized income is $3,543.22/month.
determine your fixed expenses each month. How much could you save per
month if you take 25% of your discretionary monies and put it in a savings
account?
The amount you could save per month would be 25% of your discretionary money.
How much could you save per month if you take 25% of your discretionary money?Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.
The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses
Amount to be saved = 25% of discretionary money
Amount to be saved = 0.25 * (Realized income - Fixed expenses)
Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.
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50) State the equation of a line that is perpendicular to 4x – 2y = 12 and passes through the point (-4,-3).
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Answer:
x+2y=-8
Step-by-step explanation:
Slope of given line = 2
Slope of the perpendicular line = -1/2
Equation of perpendicular line is (y-y1)=m(x-x1)
y-(-3)=-1/2(x-(-4))
y+3=-1/2(x+4)
2y+6=-x-2
x+2y=-8
PLS HELP MEEE I REALLY NEED HELP
a) 24.92
b) 65.616
c) 66.43
d) 6.13
e) 25.0862
f) 4.95
which one is it , help me on this please please please please please please please
Answer:
D
Step-by-step explanation:
7^-2 = 1/7^2
The negative means you flip it
1/7^2 times 7^6 is 7^6/7^2 (just multiply).
using rules of exponents, 7^6/7^2 is 7^4 (just subtract 2 from 6)
D is the only one that equals 7^4, as 2 times 2 is 4.
What is the prime factorization of 270?
Answer:
\(\boxed{3^3 * 2 * 5}\)
Step-by-step explanation:
Look at the image below ↓
Answer:
16 factors of 270
Step-by-step explanation:
1*270
2*135
3*90
5*54
6*45
9*30
10*27
15*18
Convert 6800 microseconds to centiseconds. (1,000,000 is = 1s, 100 cs= 1s)
To convert 6800 microseconds to centiseconds, we need to divide the value by 10,000 since there are 10,000 microseconds in a centisecond. The resulting value represents the equivalent time in centiseconds.
To convert microseconds to centiseconds, we need to understand the relationship between the two units. We know that there are 1,000,000 microseconds in a second and 100 centiseconds in a second. Therefore, to convert microseconds to centiseconds, we divide the value by 10,000.
In this case, we want to convert 6800 microseconds to centiseconds. By dividing 6800 by 10,000, we get the equivalent time in centiseconds. The calculation is as follows:
6800 microseconds / 10,000 = 0.68 centiseconds
So, 6800 microseconds is equivalent to 0.68 centiseconds.
This conversion allows us to express the time interval of 6800 microseconds in terms of centiseconds, which is a larger unit of time.
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1 PROBLEM *BRAINLIEST* FOR CORRECT ANSWER
this is graphing quadratic equations. use an x/y chart to graph with 5+ points on it.
problem: y = x^2 + 4x + 6
there's an image with the problem as well as the graph if that helps you. i know how to graph, i really just need those five points (if yk what you're doing, this should make sense)
THANK YOU!!!!
To graph y = x² + 4x + 6 with 5+ points using an x/y chart, follow these steps:
Step 1: Create an x/y chart with five rows and two columns. Label the first column x and the second column y.
Step 2: Choose five values for x. You can choose any values you want as long as you plug them into the equation in the next step. In this example, we will use -3, -2, -1, 0, and 1. Write these values in the first column of your chart.
Step 3: Plug each value of x into the equation y = x² + 4x + 6 to find the corresponding value of y. Write these values in the second column of your chart. To make it simpler, here are the calculations for each point:When x = -3: y = (-3)² + 4(-3) + 6 = 3When x = -2: y = (-2)² + 4(-2) + 6 = 2When x = -1: y = (-1)² + 4(-1) + 6 = 1When x = 0: y = (0)² + 4(0) + 6 = 6When x = 1: y = (1)² + 4(1) + 6 = 11
Step 4: Plot each point on the x/y chart. The x value goes on the horizontal axis (x-axis) and the y value goes on the vertical axis (y-axis). Once you have plotted all five points, connect them with a smooth curve to create the graph of y = x² + 4x + 6. The graph is shown in the figure below.
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What is `\frac{1}{10}` of `40`?
Step-by-step explanation:
\( \frac{1}{10} of \: 40 \\ \frac{1}{4} \times 40 \\ \frac{1 \times 40}{4} \\ \frac{40}{4} \\ 10\)
Step-by-step explanation:
1/4×40(1×40)/440/410the mean score of 888 players in a basketball game was 14.514.514, point, 5 points. if the highest individual score is removed, the mean score of the remaining 777 players becomes 121212 points. what was the highest score?
The highest score is 12794706708
What is mean ?
The average of a set of data is referred to as the mean in statistics and arithmetic. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The basic arithmetic mean involves adding the numbers together and dividing the result by the number of observations.
At first (remaining + top player) /888 = 14514514
So remaining + top = 12888888432
Now after removing top
Remaining/777 = 121212
Remaining = 94181724
So top = 12888888432 - 94181724
= 12794706708
12794706708 is the score of the top player
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Gabi tried to solve an equation step by step.
i
10
80
j
10
10 = 80 · 10 Step 1
j = 800
Step 2
Find Gabi's mistake.
Answer:
didn’t make a mistake
Step-by-step explanation:
Answer:
Step 3
Step-by-step explanation:
I got it right and that's all that matters
the time constant of a rc circuit is the time in which the current decreases to ______ of its initial value.A. 1/10B. ½C. 1/√2D. 1/πE. 1/ e
Thus, the current takes roughly 3.3 time constants to drop to 1/e of its starting value.
How is time constant calculated?An RC circuit's time constant is the length of time it takes for the current to drop to 1/e (or around 0.368) of its starting value. Option E, "1/e," is the correct response, therefore.
The equation: gives the time constant () of an RC circuit.
τ = RC
where C is the capacitance in farads and R is the resistance measured in ohms. A crucial factor in deciding how the circuit will behave is the time constant, which measures the rate at which the capacitor charges or discharges through the resistor.
The voltage across the capacitor will be approximately 63.2% of its final value after one time constant, and the current will be roughly 36.8% of its original value. Thus, the current takes roughly 3.3 time constants to drop to 1/e of its starting value.
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Need help asap The answer is 100 or 126
Answer:
The surface area of the cone is 126π cm².
Step-by-step explanation:
The surface area of a cone can be found using this formula:
\(\text{SA} = \pi r ^2+\pi r l\)where r = radius and l = slant heightIn this problem, we are told that the cone has a radius of 9 cm and a slant height of 5 cm.
Substitute these values into the formula for the surface area of a cone.
\(\text{SA}= \pi (9)^2+ \pi(9)(5)\\\) \(\text{SA}= \pi (81)+ \pi(45)\) \(\text{SA}= 126 \pi\)The surface area of the right cone is 126 π cm².
express 60 as a fraction of 3
Answer:3/5
Step-by-step explanation:
An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F areSelect one:A. 3 and 30B. 4 and 30C. 3 and 119D. 3 and 116
The numerator and denominator is D. 3 and 116.
What is numerator and denominator?In fractions, the numerator and denominator are the two constituent parts. They comprise fractions, in other words. A fraction's top digit is always referred to as the numerator. It displays the quantity of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.
For an ANOVA procedure with k groups (in this case, k=4), the degrees of freedom for the numerator and denominator of the F-statistic are given by:
- Numerator degrees of freedom: k-1
- Denominator degrees of freedom: n-k, where n is the total sample size (in this case, n=4*30=120)
Therefore, for the given ANOVA procedure with four samples of 30 observations each, the numerator and denominator degrees of freedom for the critical value of F are:
- Numerator degrees of freedom: 4-1 = 3
- Denominator degrees of freedom: 120-4 = 116
So the answer is D. 3 and 116.
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Two friends Caleb and Ynez are both selling brownies for a class fundraiser. They decide to advertise how much buying a certain number of brownies will cost in two different ways, as shown in the graph/chart below. Create an equation for the cost, C, of n-brownies for Caleb's pricing. After you have created the equation, which of the two friends have the higher unit cost per brownie? How much more would it cost to purchase 50 of the more expensive brownies than the less expensive ones?
Answer:
C50 X n
Step-by-step explanation:
Solve the equation.
p−3=−4
p=
The value of p in the given equation is -1.
Given is an equation p-3 = -4, we need to find the value of p,
So,
p-3 = -4
p = -4+3
p = -1
Hence, the value of p in the given equation is -1.
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Triangle ABC is translated by the rule (x, y) → (x - 1, y + 6) then reflected across the y- axis. What are the coordinates of A”,B”, and C”?
The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Given triangle has coordinates,
A(2, -2), B(5, -3) and C(2, -4).
First the triangle is translated by the rule (x, y) → (x - 1, y + 6)
A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).
B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)
C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)
Then the translated triangle is reflected across the Y axis.
When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.
A'(1, 4) becomes A''(-1, 4)
B'(4, 3) becomes B''(-4, 3)
C'(1, 2) becomes C''(-1, 2)
Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).
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helppp what ordered pair?
Answer:
I believe it would be (7, 4). That is the ordered pair of the highest point. Hope this helps!
What is the x-intercept of this line?
Answer:
(2, 0)
Step-by-step explanation:
Just look at where the line touches the x axis and wolaaa, there's yo answer
Answer:
(2,0)
Step-by-step explanation:
Just look at where the line crosses on the x-axis.
Write an equation for each description.
4 times a number is 16.
A number minus 11 is 12
9/10 times a number plus 6 is 51
3 times the sum of 1/3 and 8 is 11
Answer:
4x =16
a - 11 =12
9/10x + 6 =51
3(1/3 + 8) =11
Step-by-step explanation:
Nina owns a condominium where she paid $3,340 in maintenance fees this year. If her property taxes are 15% of this amount, how much did Nina pay in property taxes?
Nina pay in property taxes 501. or \(5.01*10^{2}\).
A property tax, often known as a millage rate, is an ad valorem tax based on a property's value. The tax is imposed by the administrative body of the region where the property is situated. This could be the federal government, a federated state, a county, a region of land, or a municipality. The average effective property tax rate in the Lone Star State is 1.60%, making Texas' property taxes the seventh-highest in the nation. Comparing that to the current 0.99% national average will help. Property taxes in Texas cost the average homeowner $3,797 a year. It is well known that British property owners do not pay property tax. But hold on, it's too soon to celebrate because there might still be taxes to pay.
Based on the given conditions, formulate:
3340*15%
Calculate.
501
Alternative forms.
\(5.01*10^{2}\)
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