Answers
The solution of equation is (2, 3).
We have,
x= 3y -7.........(1)
y= x + 1.........(2)
Solving equation (1) and (2) we get
y = 3y - 7 + 1
y - 3y = -7 + 1
-2y = -6
y = -6/(-2)
y = 3
and, x = 3(3) - 7
x = 9 - 7
x = 2
Thus, the solution of equation is (2, 3).
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Related Questions
) Find the average gold medal winnings of those NOCs who have been
awarded fewer than ten bronze medals.
Count the number of those NOCs that have been awarded ten or more
silver medals.
This question requires the construction and interpretation of a pie chart based
on the data throughout this task.
a) Create a suitable and fully labelled pie chart to show the total medal
winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games.
Interpret the pie chart produced in Question 8a). Discuss two probable
justifications for the behaviour of the data.
Answers
a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:
Obtain the data for the medal winnings of the Top 10 NOCs
Find the average gold medal winnings of those NOCs who have beenawarded fewer than ten bronze medals.?Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)
Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option
Add a title and labels to the chart to show the NOCs and their corresponding medal winnings
b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:
Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.
Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.
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Choose which sampling technique 1s used. (R) Random (STR) Stratined (CLS) Cluster
(CON) Convenience (SYS) Systematic
1. I ask everyone in my 5th period class who has more than one computer
at home in a study about all of my students for the year.
2. I collect data from every 15th student on my list of the entire school
population.
3. After using a random number table to generate two-digit numbers, I
decide on 10 people to choose from the population.
Answers
Answer:
1. CON (convenience sampling) - This sampling technique involves selecting participants who are readily available and willing to participate. In this case, the researcher is only selecting from their 5th period class, which is not a representative sample of the entire student population.
2. SYS (systematic sampling) - This sampling technique involves selecting every nth element from a population. In this case, the researcher is selecting every 15th student on their list of the entire school population.
3. R (random sampling) - This sampling technique involves selecting participants at random from the population. In this case, the researcher is using a random number table to generate two-digit numbers and selecting 10 people from the population.
Hope this helps!
Answer:
1. CON (convenience sampling) - This sampling technique involves selecting participants who are readily available and willing to participate. In this case, the researcher is only selecting from their 5th period class, which is not a representative sample of the entire student population.
2. SYS (systematic sampling) - This sampling technique involves selecting every nth element from a population. In this case, the researcher is selecting every 15th student on their list of the entire school population.
3. R (random sampling) - This sampling technique involves selecting participants at random from the population. In this case, the researcher is using a random number table to generate two-digit numbers and selecting 10 people from the population.
Hope this helps!
SAT/ACT An arc has a central angle of
radians and a length of 6. What is the
circumference of the circle?
A 12T
B 15T
30T
D 36л
Answers
Answer: D 36л
Step-by-step explanation:
s = θr
where r is the radius of the circle. given that the arc length is 6, and the central angle is π/3 radians r:
6 = (π/3)r
r = 6/(π/3) = 18/π
the circumference of the circle is given by:
C = 2πr
Substituting r = 18/π, we get:C = 2π(18/π) = 36
18.
Simplify.
y²-6y +11
y-2
Oy-1
Oy³-8y² +23y - 22
none of the answer choices
Oy²-5y +9
O-y²-2y + 10
Answers
Answer:
the answer is none of the answer choices
Answer:
the answer is none of the answer choices
The graph of f(x) and table for g(x)= f(kx) are given.- WORTH 40 BRAINLY POINTS PLEASE ANSWER FAST
The graph shows an upward opening parabola labeled f of x that passes through a point negative 2 comma 8, a point negative 1 comma 2, a vertex 0 comma 0, a point 1 comma 2, and a point 2 comma 8.
x g(x)
−6 8
−3 2
0 0
3 2
6 8
What is the value of k?
k = 3
k is equal to one third
k = 6
k is equal to negative one sixth
Answers
The value of k include the following: B. k is equal to one third.
What is the vertex form of a quadratic equation?In Mathematics, the vertex form of a quadratic function can be modeled by this formula:
y = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about the quadratic function f(x), we can logically deduce that its vertex is at (0, 0);
f(x) = a(x - h)² + k
2 = a(1 - 0)² + 0
2 = a
f(x) = 2(x - 0)² + 0
f(x) = 2x²
For the quadratic function g(x), we have;
g(x) = f(kx)
g(x) = 2(kx)²
g(x) = 2k²x²
By using the point (3, 2) from the table, we have:
2 = 2k²3²
1 = k²9
k² = 1/9
k = √(1/9)
k = 1/3 i.e one third.
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9. data was collected on houses currently for sale. based on a cubic modeling equation, which prediction about this data is the most reliable? a.
a $70k house would have 1,354 square ft
b. a $70k house would have about 1,460 square ft
c. a $400k house would have 492 square ft
d. a $400k house would have 4,328 square ft
10. suppose a scatterplot is created from the points in the following table. when x=7, what is the second coordinate in a scatterplot of the linearized data? round the answer to the tenth place.
a. 0.8
b. 2.1
c. 54.3
d. 112.8
11. the equation that best models the linearized data for a particular data set is log y= 0.75821x+0.03442. find the approximate value x=4. round your answer to the nearest whole number.
a. 3
b. 25
c. 1,168
d. 62,034
Answers
question 9.
Based on a cubic modeling equation, the prediction about this data that is most reliable is a $70k house would have 1,354 square ft.
Option A is correct.
Question 10.
The second coordinate in a scatterplot of the linearized data and rounding the answer to the tenth place is 0.8
Option A is correct.
Question 11.
The approximate value when x=4 and rounding the answer to the nearest whole number is 1,168
Option C is correct.
How do we calculate?The equation is given as
Log y= 0.75821x+0.03442
We substitute x = 4 into the given equation and solve for y:
log y = 0.75821(4) + 0.03442
log y = 3.07286 + 0.03442
log y = 3.10728
We take the antilogarithm of both sides,
y = 10^(3.10728)
y = 1,168.66
Rounding off, the closest answer is option (c) 1,168.
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Use the graph below to answer the question.
Money Spent on Food
dinner
42%
lunch
30%
snacks
10%
breakfast
18%
A shopper spent $100 at the store. How many dollars did the shopper spend on snacks?
A. $10
B. $18
C. $30
D. $42
Answers
if the shopper spent $10 on snacks and 10% of 100 is 10 then the answer is A
View photo below. This is timed.
Answers
Answer: ∠EFB, ∠DFE, and ∠CFB
Step-by-step explanation:
Starting Angle: ∠CFD
Since its in an X formation: ∠EFB, ∠DFE, and ∠CFB would all work.
In the diagram shown, ABC is equilateral. AD is an altitude.
10). ABD = _____.
11). ADB = _____.
12). BAD = _____.
13). CAD = _____.
Suppose AB = 6. Find:
14). BD
15). AD
16). Area of ABC
Answers
All the correct values are,
⇒ ∠ABD = 60°
⇒ ∠ADB = 90°
⇒ ∠BAD = 30°
⇒ ∠CAD = 30°
⇒ BD = 3
⇒ AD = √27
⇒ The value of area of triangle ABC is, 3√27
Given that;
In the diagram shown, ABC is equilateral. AD is an altitude.
Hence, We get;
All the angles of a equilateral triangle are,
⇒ 60°
Thus, We get;
⇒ ∠ABD = 60°
Since, AD is an altitude.
⇒ ∠ADB = 90°
And,
⇒ ∠BAD = 60 / 2 = 30°
⇒ ∠CAD = 60/2 = 30°
By Pythagoras theorem;
AB² = AD² + BD²
6² = AD² + 3²
36 = AD² + 9
AD² = 27
AD = √27
Thus, The value of area of triangle ABC is,
⇒ 1/2 × AD × BC
⇒ 1/2 × √27 × 6
⇒ 3√27
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A genetic experiment with peas resulted in one sample of offspring that consisted of 427 green peas and 154 yelow peas. a. Construct a 90% confidence interval to estimate of the percentage of yellow peas. b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25%, of the offspring peas would be yellow? a. Construct a 90% confidence interval. Express the percentages in decimal form.
Answers
CI = p ± z*sqrt((p*(1-p))/n)
where:
p = proportion of yellow peas = 154/(427+154) = 0.265
z = z-score for a 90% confidence level = 1.645 (from a standard normal distribution table)
n = sample size = 427+154 = 581
Substituting the values, we get:
CI = 0.265 ± 1.645*sqrt((0.265*(1-0.265))/581)
CI = 0.265 ± 0.042
CI = (0.223, 0.307)
Therefore, we can say with 90% confidence that the true proportion of yellow peas in the population lies between 0.223 and 0.307.
b. The expected proportion of yellow peas is 0.25. Since the confidence interval does not contain 0.25, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow.
how do I do 75% of 200
Answers
Answer:
150
Step-by-step explanation:
divide the percentage by 100 to make it decimal form,
75/100= .75
The multiple .75 by the total amount to find the 75%,
200 x .75 = 150
Which means 75% of 200 is 150
If the image is rotated about the x-axis, which of the following images best represents the result?
A. Y
B. Z
C. X
D. W
Answers
The images best represents the result is image W.
We have, the image is rotated about the x-axis.
Now, rotating around x axis can give the other half of the image.
Also, rotating about x axis gives the mirror image of the figure.
So, the rotation leads to a circle.
and, In three dimensional we can say that Sphere.
Thus, the required image is W.
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Find the sum of 10x² + 7x + 6 and 6x + 5.
Answer:
Submit Answer
M
DELL
Answers
10x² + 13x + 11 is the sum of linear equation .
What is a linear equation in mathematics?
The algebraic equation y=mx+b is known as a linear equation. All of its terms are constant, first-order linear ones. where m denotes the slope and b the y-intercept.
The aforementioned is occasionally referred to as a "linear equation in two variables" where y and x are variables. One or more variables may be present in a linear equation. The term "bivariate linear equation" refers to a linear equation with two variables.
two equations are 10x² + 7x + 6 and 6x + 5.
now add both equations
= (10x² + 7x + 6 )+ (6x + 5)
= 10x² + 7x + 6 + 6x + 5
= 10x² + 13x + 11
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What is the area of this figure?
20 mi
3 mi
11 mi
7 mi
3 mi
4 mi
3 mil
Write your answer using decimals, if necessary.
square miles
3 mi
Answers
The area of the figure composed of two rectangles is 99 mi²
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
For the first rectangle:
Area = 11 mile * 5 mile = 55 mi²
For the second rectangle:
Area = 11 mile * 4 mile = 44 mi²
The area of figure = 55 mi² + 44 mi² = 99 mi²
The area of the figure is 99 mi²
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Find the weighted mean. Round your answer to the nearest tenth.
Answers
The weighted mean of the deliveries each week can be found to be 5. 38 .
How to find the weighted mean ?The weighted mean is a type of mean that takes into account, the weight of the various items in question.
First, find the total frequency :
= 1 + 5 + 4 + 3
= 13
The weighted mean would then be:
= ∑ ( weight of delivery x number of deliveries )
= ( 1 / 13 x 2 ) + ( 5 / 13 x 4 ) + ( 4 / 13 x 6 ) + ( 3 / 13 x 8 )
= 0. 15 + 1. 54 + 1. 84 + 1. 85
= 5. 38
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A sample of n = 64 scores has a mean of M = 68. Assuming that the population mean is μ = 60, find the z-score for this sample:
If it was obtained from a population with σ = 16
z =
If it was obtained from a population with σ = 32
z =
If it was obtained from a population with σ = 48
z =
Answers
c) Population [tex]\sigma = 48[/tex]
Z = [tex]\frac{68-60 }{\frac{48 }{\sqrt{64}}}[/tex]
Z-score= 1.3333
How to solveAccording to the question , sample size n=64 , mean M = 68 , population mean [tex]\mu= 60[/tex]
Z = [tex]\frac{M-\mu }{\frac{\sigma }{\sqrt{n}}}[/tex]
where M = Sample Mean
[tex]\mu[/tex] = Population Mean
[tex]\sigma[/tex] = Population Standard Deviation
n = Sample Size
a) Population [tex]\sigma[/tex] = 16
Z = [tex]\frac{68-60 }{\frac{16 }{\sqrt{64}}}[/tex]
Z-score = 4
b) Population [tex]\sigma[/tex] = 32
Z = [tex]\frac{68-60 }{\frac{32 }{\sqrt{64}}}[/tex]
Z-score = 2
c) Population [tex]\sigma[/tex]= 48
Z = [tex]\frac{68-60 }{\frac{48 }{\sqrt{64}}}[/tex]
Z-score= 1.3333
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4. Find the product
()
Answers
Answer: n^6-25
Step-by-step explanation:
Use the distributive property to obtain: n^6-5n^3+5n^3-25
Simplify: n^6-25
Answer: n^6-25
The product of the given expression [tex](n^{3} + 5) (n^{3} - 5)[/tex] will be the second option [tex]n^{6} - 25[/tex].
This is a simple math problem that can be solved using algebraic identities. Algebraic identities are mathematical formulas that hold true regardless of the value assigned to each of the variables. They can be used to resolve equations and simplify expressions.
In the above question, we have used the following identity:
[tex](a^{2} - b^{2} ) = (a + b) (a - b)[/tex]
In the given question, a = [tex]n^{3}[/tex] and b = 5
So putting values in the identity, we get
[tex][(n^{3})^{2} - 5^{2}] = (n^{3} + 5) (n^{3} - 5)[/tex]
On solving the left side of the equation, we get
[tex]n^{6} - 25[/tex] which is our answer to the given question.
Note: [tex](n^3)^2 = n^6[/tex] because the powers get multiplied.
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What is the perimeter of the parallelogram?
units
Answers
Answer:
Step-by-step explanation:
At Downtown Pizza, 4 of the last 6 pizzas sold had pepperoni. What is the experimental probability that the next pizza sold will have pepperoni?
Answers
The answer of the given question based on the experimental probability is the next pizza sold at Downtown Pizza will have pepperoni is 2/3 or approximately 0.67.
What is Experimental probability?Experimental probability is ratio of number of times event occurs to the total number of trials or observations conducted in experiment or real-life situation. It is based on actual observations or data and is also known as empirical probability.
Experimental probability is used when it is not possible or feasible to determine the theoretical probability of an event, or when the theoretical probability does not match the actual outcomes observed in a given situation. In such cases, experimental probability provides an estimate of the likelihood of an event occurring based on real-life data.
The experimental probability that the next pizza sold will have pepperoni is the ratio of the number of pepperoni pizzas sold to the total number of pizzas sold in the recent past.
According to the problem, 4 of the last 6 pizzas sold had pepperoni. So, the experimental probability of the next pizza sold having pepperoni is:
experimental probability = number of pepperoni pizzas sold / total number of pizzas sold
experimental probability = 4 / 6
experimental probability = 2 / 3
Therefore, the experimental probability that the next pizza sold at Downtown Pizza will have pepperoni is 2/3 or approximately 0.67.
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2x + y = 7
x + y = 1
Answers
Answer: x = 6 and y = -5.
Step-by-step explanation: Multiply the second equation by -2 to eliminate the y term:
-2(x + y) = -2(1) -> -2x - 2y = -2
Add the resulting equation to the first equation to eliminate the y term:
2x + y = 7
-2x - 2y = -2
0x - y = 5
Solve for y:
-y = 5
y = -5
Substitute y = -5 into either of the original equations and solve for x:
x + y = 1
x + (-5) = 1
x = 6
Therefore, the solution to the system of equations is x = 6 and y = -5.
Triangle D has been dilated to create triangle D′. Use the image to answer the question.
image of a triangle labeled D with side lengths of 3.8, 4.8, 4.2 and a second triangle labeled D prime with side lengths of x, 2.4, 2.1
Determine the scale factor used.
one half
2
one fourth
3
Answers
Answer:
To determine the scale factor used, we need to find the ratio of corresponding side lengths in both triangles.
Let's compare the length of the first side in both triangles:
x/3.8 = 2/4.8
Cross-multiplying, we get:
4.8x = 7.6
Dividing both sides by 4.8, we get:
x = 1.58
Now, let's compare the length of the second side in both triangles:
2.4/4.2 = 0.57
Finally, let's compare the length of the third side in both triangles:
2.1/4.8 = 0.44
Since the scale factor is the same for all corresponding side lengths, we can take the average of the ratios:
(scale factor) = (1.58/3.8 + 0.57 + 0.44)/3
(scale factor) = 1.01
Therefore, the scale factor used is approximately 1.
To see this, notice that the side lengths of triangle D' are half the length of the corresponding sides in triangle D. For example, the length of the shortest side in triangle D is 3.8, while the length of the shortest side in triangle D' is x. Since the length of the shortest side in triangle D' is half the length of the shortest side in triangle D, the scale factor is 1/2.
A quality control technician at a candle factory tested the eight 16-ounce candles, each 3 inches in diameter. These candles came from the same production run. The table shows the decrease in weight of each candle after burning for 3 hours. Candle makers believe that the rate at which the candles burn is constant.
Write an equation that can be used to model the weight,
of such a candle as a function of
, the number of hours burning. Then, explain how the equation can be used to predict the weight of a candle that has burned for 5 hours.
Enter your equation and your explanation in the box provided.
Answers
Answer:
According to the model. the weight of the candle after S hours of burning would be about 15.05 ounces
Step-by-step explanation:
If the burn rate is believed to be constant, determine the average burn rate for the eight candles as the ratio of weight loss per hour.
ounces lost over three hours
0.5+0.6+0.5÷0.7÷0.7÷0.5÷0.5÷0.6
8
* 0.575
0.575
ounces lost per hour on average
= 0.19
For 0 hours, the weight of each candle is 16 ounces. Therefore, w 16 - 0.19h.
This model can be used to predict the weight of the candle when h, the number of hours of burning, is 5.
W * 16 - 0.19(5)
W = 16 - 0.95
W = 15.05
According to the model. the weight of the candle after S hours of burning would be about 15.05 ounces.
↑
tructor
Watch the video and then answer the problem given below.
Click here to watch the video.
The circle graph represents a sample of 600 people who were asked which one automobile accessory they would most
prefer to have on a family trip. How many people indicated Bluetooth capability?
people
CEFF
Automobile Accessories for a Family Road Trip
Bluetooth capability 29%
Other 21%
Clear all
Roof rack 8%
Extra cup holders 15%
DVD player 27%
Check answer
Answers
Based on the above, about 174 people out of the sample of 600 people indicated Bluetooth capability.
What is the graph about?To know the number of individuals who shown Bluetooth capability, we have to to begin with calculate the division of individuals who chose this choice from the circle chart.
Note that:
People who Bluetooth capability =29%
Number of people = Percentage × Total sample size
= 0.29 × 600
= 174
So, 174 individuals shows that the Bluetooth capability is their favored option for the family trip.
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This shows a number line. Which point is located at 90 ?
Answers
Answer:
incomplete question bru
What’s the equation of the line shown above ? A y=2x+3 B y=2x+1/3 C y=3x+2 D y=1/3x+2
Answers
It should be noted that to find the equation of a line, two pieces of information are necessary: the slope and coordinates of a point on the line.
How to find the equationAlso, to acquire this, one can leverage either the point-slope form or the slope-intercept form to compose it.
If both the slope (m) and coordinates of the point (x1, y1) on the line are known, then one can express the equation in its point-slope style as follows:
y - y1 = m(x - x1)
Or, if only the slope (m) and the y-intercept (b), which is the value of y where the line crosses the y-axis, are accessible, then the equation can be expressed via the slope-intercept form with: y = mx + b
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answers
Answer:
Step-by-step explanation:
1 -E (102/234) *100 =43.6%
2- F
3-C
4-A
In a game of cards you win $1 if you draw a heart (except the ace), $5 if you draw an ace (including the ace of hearts), $10 if you draw the king of spades and $0 for any other card. Let W be the amount you win playing this game, what the probability distribution of W?
Answers
There are four possible outcomes in this game: winning $1, winning $5, winning $10, or winning $0.
The probability of winning $1is the probability of drawing one of the 11 hearts that are not the ace of hearts. There are 52 cards in the deck, so the probability of drawing any one of them is 1/52. However, there are 11 hearts that win $1, so the probability of winning $1 is:
P(W = $1 ) = 11/52
The probability of winning $5 is the probability of drawing the ace of hearts, which is 1/52.
P(W = $5) = 1/52
The probability of winning $10 is the probability of drawing the king of spades, which is also 1/52.
P(W = $10) = 1/52
The probability of winning $0 is the probability of drawing any other card, which is 39/52.
P(W = $0) = 39/52
EASY POINTS!
A machine in a factory makes 2 1/4 pounds of nails in 1 1/2 hours. At this rate, in pounds per hour, does the machine make nails? Show your work!
A. 2/3
B. 3/4
C. 1 1/2
D. 3 3/4
Answers
The machine makes 2 1/4 pounds of nails in 1 1/2 hours.
To convert 2 1/4 to an improper fraction, we multiply the whole number (2) by the denominator (4) and add the numerator (1), then write the result over the denominator:
2 1/4 = (2 x 4 + 1)/4 = 9/4
To convert 1 1/2 to an improper fraction, we multiply the whole number (1) by the denominator (2) and add the numerator (1), then write the result over the denominator:
1 1/2 = (1 x 2 + 1)/2 = 3/2
Now we can divide the amount of nails by the time:
(9/4) ÷ (3/2) = (9/4) x (2/3) = 18/12 = 3/2
Therefore, the machine makes nails at a rate of 3/2 pounds per hour. The correct answer is C.
Which number line shows the solution set for |h-3| ≤5?
Answers
Answer:
Second number line
Step-by-step explanation:
(h-3)^2 <= 25
h^2 - 6h + 9 <= 25
h^2 - 6h - 16 <= 0
(h-8)(h+2) <=0
Using the graph of (x-8)(x+2),
-2 <= h <= 8
Hence, the answer is the second one (as it has shaded circles)
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Calculating Loan Payments You want to buy a new sports coupe for $69,300, and the finance office at the dealership has quoted you a loan with an APR of 5.6 percent for 48 months to buy the car. What will your monthly payments be? What is the effective annual rate on this loan?
Input area:
Amount borrowed $69,300
APR 5.6%
# of years 4
# of times compounded per year 12
(Output area) Complete the following analysis. Do not hard code values in your calculations. All answers should be positive.
Loan Payment __________
Effective Intrest Rate ____________
Answers
The monthly payments will thus be $1,612.81.
The annual effective rate on this loan is 5.78%.
What is the loan payment formulae?We can use the following loan payment formula to determine the loan payment:
Loan Payment = [tex]\\\frac{p * \frac{r}{n} }{1 - (1 + \frac{r}{n} )^{-n *t} }[/tex]
where P = borrowed amount = $69,300
r = yearly interest rate (decimal) = 0.056
n = number of times compounded per year = 12
t = number of years = 4
When we plug in the values, we get:
Loan Payment = [69300 x (0.056/12)] / [1 - (1 + 0.056/12)^(-12*4)]
= $1,612.81 (to the nearest cent)
The monthly payments will thus be $1,612.81.
We can use the following calculation to obtain the effective annual rate:
Annual Effective Rate =[tex](1 + r/n)^{n-1}[/tex]
When we plug in the values, we get:
Annual Effective Rate =[tex](1 + 0.056/12)^{12 - 1}[/tex]= 0.0578 or 5.78%
As a result, the annual effective rate on this loan is 5.78%.
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