Answer:x=9
Step-by-step explanation:
6x+25=79
-25 -25
6x=54
/6 /6
x=9
x=9
6x +25 =79
- 25
6x. = 54
÷6
x = 9
Hope this helps!
What is the expected value of the above spinner?
PLZZ HELP
How many quarters would you get for 21 dollars?
Answer:
84 quarters
Step-by-step explanation:
Answer: 84 quarters
Step-by-step explanation: 1 dollar is 4 quarters, so if you do 4 times 21 you would get your answer. Good luck!
suppose a coffee shop sells one cup of coffee 33 minutes. what is the probability that the coffee shop will sell no more than one cup of coffee in 99 minutes?
The probability that the coffee shop will sell no more than one cup of coffee in 99 minutes is approximately 0.1992, or 19.92%
The quantity of cups of espresso bought in ninety nine minutes follows a Poisson distribution with parameter λ = 99/33 = 3.
The chance of promoting no greater than one cup of espresso in ninety nine minutes can be calculated as follows:
P(X ≤ 1) = P(X = 0) + P(X = 1)
Where X is the random variable representing the quantity of cups of espresso offered in ninety nine minutes.
Using the Poisson distribution formula, we can calculate the possibilities of promoting zero or 1 cups of espresso in ninety nine minutes:
P(X = 0) =\((e^{(-3)} * 3^0) / 0!\)
= \(e^{(-3)\)
= 0.0498 (rounded to four decimal places)
P(X = 1) = \((e^{(-3)} * 3^1)\) / 1!
P(X = 1) = 0.1494 (rounded to four decimal places)
Therefore,
P(X ≤ 1) = 0.0498 + 0.1494
P(X ≤ 1) = 0.1992
So the chance that the espresso save will promote no greater than one cup of espresso in ninety nine minutes is about 0.1992, or 19.92% (rounded to two decimal places).
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What is the scaling factor represented in this dilation?
-1/3
-3
3
1/3
Answer:
3
Step-by-step explanation:
From inspection, we can see that the dilated triangle (red) has side lengths that are 3 times bigger than the side lengths of the original triangle (blue).
Therefore, the scale factor for the dilation is 3 (about the origin)
50 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!
Answer:
8. 9.1
9. 12.2
Step-by-step explanation:
8. let x represent the missing side:
Using pythagoras theorem;
13.3² = x² + 9.7²
x² = 13.3² - 9.7²
x² = 82.8 taking the square root of both sides;
x = 9.1
9. let y represent the missing side:
Using pythagoras theorem;
y² = 10² + 7²
y² = 149 taking the square root of both sides;
y = 12.2
Which of the following statements is true about the three quadrilaterals?
A and B are similar but not congruent.
A and C are similar but not congruent.
A and B are similar and also congruent.
B and C are similar and also congruent.
D=80.0+0.45Q, where Q refers to the sequential quarter number and Q=1 for winter of Year 1 . In addition, the multiplicative seasonal factors are as follows: In year 26 (quarters 101-104), the energy use for each of the quarters beginning with winter is (round your response to one decimal place):
the energy use for each quarter beginning with winter in year 26 is as follows:
Winter: 121.91
Spring: 149.49
Summer: 170.44
Fall: 129.96
To determine the energy use for each quarter beginning with winter in year 26, we need to multiply the base value D = 80.0 + 0.45Q by the corresponding seasonal factors. Here are the calculations:
Winter (Q = 101): D = (80.0 + 0.45 * 101) * 0.9 = 135.45 * 0.9 = 121.91
Spring (Q = 102): D = (80.0 + 0.45 * 102) * 1.1 = 135.9 * 1.1 = 149.49
Summer (Q = 103): D = (80.0 + 0.45 * 103) * 1.25 = 136.35 * 1.25 = 170.44
Fall (Q = 104): D = (80.0 + 0.45 * 104) * 0.95 = 136.8 * 0.95 = 129.96
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reverse the order of integration in the integral i = z 6 0 z 3 x/2 f(x, y) dy dx , but make no attempt to evaluate either integral.
To reverse the order of integration, we need to rewrite the given double integral as an iterated integral with the order of integration reversed. We can do this as follows:
i = ∫0^6 ∫0^(x/2) z^3 f(x, y) dy dx
Now, we can reverse the order of integration by integrating with respect to x first and then with respect to z:
i = ∫0^3 ∫2y^2^6 z^3 f(x, y) dx dz
Therefore, the reversed order of integration is:
∫2y^2^6 ∫0^3 z^3 f(x, y) dz dx
Note that this is just the iterated integral with the original limits of integration but with the order of integration reversed. We can evaluate this integral using these limits of integration, but we cannot determine the actual value of the integral without knowing the function f(x, y).
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make x the subject for y=x-3
Answer:
x = y + 3
Step-by-step explanation:
y = x - 3 ( add 3 to both sides )
y + 3 = x , that is
x = y + 3
find the distance between the points (3,-8) and (-2,-1)
Answer: √74
Step-by-step explanation: Let's start with the distance formula, shown below.
Now simply substitute the values into the formula, my work is below.
The distance between these two points is √74.
goals decreases
2. REVENUE The table shows the estimated revenue earned for ringtone and ringback purchases, in
millions of dollars, each year since 2010.
Year
2010
2011
2012
2013
Revenue ($)
448
276.2 166.9
97.9
a. Write the equation for the best-fit line for the data.
b. Find and interpret the correlation coefficient.
2014
66.3
2015
54.5
2016
40.1
The required correlation coefficient is r ≈ -0.994 and the equation for the best-fit line for the data is y = -104.94t + 866.825.
What is Statistic?Statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
a. To find the equation for the best-fit line for the data, we can use linear regression. We'll use the year (t) as the independent variable and the revenue (y) as the dependent variable. We can plug the data points into a calculator or spreadsheet to find the slope (m) and y-intercept (b) of the line,
n = 4 (number of data points)
∑t = 8060
∑y = 989.0
∑ty = 379466.5
∑t² = 161440
m = (n∑ty - ∑t∑y) / (n∑t² - (∑t)²) ≈ -104.94
b = (∑y - m∑t) / n ≈ 866.825
Therefore, the equation for the best-fit line is, y = -104.94t + 866.825
b. To find the correlation coefficient, we can use the formula:
r = [n∑ty - (∑t)(∑y)] / √([n∑t² - (∑t)²][n∑y² - (∑y)²])
r ≈ -0.994
Thus, the required correlation coefficient is r ≈ -0.994 and the equation for the best-fit line for the data is y = -104.94t + 866.825.
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The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
Select the true statement about triangle ABC.
A. sin A = tan C
B. sin A = sin C
C. sin A = cos B
D. sin A = cos C
Answer:
the true statement is D. sin A = cos C
it's because,
statements A and B do not match and as for statement C, angle B is not included in trigonometric ratios
Which measurements could create more than one triangle?
A: A right triangle with acute angles measuring 45° and 45°
B: A triangle with sides measuring 15 inches, 20 inches, and 25 inches
C: A triangle with measuring 20 cm, 9 cm, and 10 cm
D: A triangle with sides measuring 10 cm, and 20 cm and an included angle measuring 65°
There are 20 employees who work in my department—Planning and Knowledge Management. Four employees will be selected to participate in specialized training. How many selections are possible? Now what if I want to select 4 employees to attend different conferences. The first problem will go to a conference in Orlando, the second to Miami, the third to Tallahassee and the fourth to Gainesville for a conference. How many selections are possible?
Using permutation there are 116,280 potential combinations of 4 employees that might go to the 4 conferences.
The number of selections possible for the first problem, where 4 employees are selected to participate in specialized training from a group of 20 employees, can be found using the combination formula:
C(20, 4) = 20! / (4! × (20 - 4)!) = 4845
Therefore, there are 4845 possible selections of 4 employees for the specialized training program.
For the second problem, we need to select 4 employees to attend 4 different conferences.
The order of selection matters, since each employee, will be attending a different conference.
Therefore, we need to use the permutation formula:
P(20, 4) = 20! / (20 - 4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116280
Therefore, there are 116,280 possible selections of 4 employees to attend the 4 different conferences.
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a politicians support increases from 34% ro 51%. determine the actual and relative change in this situation.
The actual change in the politician's support is 17% (51% - 34%). The relative change can be calculated as (actual change/original value) x 100, which in this case is ((51% - 34%)/34%) x 100 = 50%. Therefore, the politician's support has increased by 50% relative to the original value of 34%.
To determine the actual and relative change in a politician's support that increases from 34% to 51%, we need to follow these steps:
Step 1: Calculate the actual change.
Actual Change = Final Percentage - Initial Percentage
Actual Change = 51% - 34%
Actual Change = 17%
Step 2: Calculate the relative change.
Relative Change = (Actual Change / Initial Percentage) * 100
Relative Change = (17% / 34%) * 100
Relative Change ≈ 50%
So, the actual change in the politician's support is 17%, and the relative change is approximately 50%.
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As a certain engine's rotation speed increases, its temperature increases at a constant rate. The table compares the engine's rotation speed (in cycles per second) and its temperature (in degrees Celsius).
Hey there! :)
Answer:
15° Celsius.
Step-by-step explanation:
Begin by deriving an equation to represent the values in the table. Use the slope formula:
\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)
Plug in values from the table into the formula:
\(m = \frac{27.0 - 22.2}{15-9}\)
Simplify:
\(m = \frac{4.8}{6}\)
Reduces to:
m = 0.8. This is the slope of the equation.
Use a point from the table and plug it into the equation y = mx + b, along with the slope to calculate the y-intercept:
27 = 0.8(15) + b
27 = 12 + b
27 - 12 = b
b = 15. This represents the value when x = 0, therefore:
The engine's temperature at rest is 15° Celsius.
Answer:
15
Step-by-step explanation:
A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.
45 percent of the 8th graders estimated they spend less than an hour a day on social media. The solution has been obtained by using concept of frequency.
What is frequency?
The frequency of a specific value in a set of data is how frequently it appears. Typically, we would keep track of data frequency in a frequency table.
We are given that 17 8th graders spent more than an hour a day on social media and 14 8th graders spent less than an hour a day on social media.
The total 8th graders who spent time on social media is 14 + 17 = 31
The percentage of the 8th graders estimated they spend less than an hour a day on social media is
= 14*100/31
= 45.16%
= 45%
Hence, 45 percent of the 8th graders estimated they spend less than an hour a day on social media.
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Write the term for each definition.
A. a comparison of two quantities ___________
B. an equation stating that two ratios are equivalent ___________
( pic uploaded if needed )
A. A comparison of two quantities: Ratio B. An equation stating that two ratios are equivalent: Proportion.
A ratio is a comparison of two quantities that can be expressed in the form of a fraction or using a colon. For example, the ratio of boys to girls in a class could be expressed as 3:2 or as a fraction 3/2.
Ratios are used in many areas of mathematics and everyday life, such as in finance, science, and cooking.
A proportion is a statement that two ratios are equal. It can be written in the form of an equation where the two ratios are separated by an equal sign. For example, 3/4 = 6/8 is a proportion.
Proportions are used to solve problems involving ratios, such as finding the missing value in a proportion or solving for an unknown variable.
They are also used in geometry to show that two pairs of corresponding sides of two triangles are proportional, which is a key property in proving triangles are similar.
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Please help me solve this problem fast!!
Answer:
12.53
Step-by-step explanation:
√(11²+(10-4)²)
= √157
= 12.53 (rounded to two decimal places)
Answered by GAUTHMATH
please help on 19 and 20
Answer:
c and d
Step-by-step explanation:
Answer:
C AND D
Step-by-step explanation:
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DESPERATELY TRYING TO LEVEL UP
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JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study. true or false
True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.
What is a performance comparison?
They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.
The measures are employed in productivity improvement projects to monitor changes in productivity over time.
Why is performance measurement important?
Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.
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In 7 hours the depth of the water in Leah's pool increased 28 inches.
The water in Glados's pool had an initial depth of 11 inches. After one
hour the depth increased to 13 inches. After two hours, the depth was
19 inches. Which comparison of the two rates of change is correct?
Answer:
in the first one the water changed by 4 inch every hour and the second one has an increasing 1 to 3 to 5 inches
Step-by-step explanation:
A candy store allows customers to select 3 different candies to be packaged and mailed. If there are 13 varieties available, how many possible selections can be made?
There are 286 different possible selections of three candies from 13 varieties.
To find out how many possible selections can be made, we can use the combination formula: nCk = n! / (k! (n-k)!), where n is the total number of candies available and k is the number of candies to be selected.
In this case, n = 13 (the number of candy varieties) and k = 3 (the number of candies to be selected). So the number of possible selections can be calculated as follows: 13C3 = 13! / (3! (13-3)!) = 286. Therefore, there are 286 different possible selections of three candies from the 13 varieties available in the candy store.
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determine the angle between 0 and 2π that is coterminal with 17pi/4
the angle between 0 and 2π that is coterminal with 17π/4 is π/4.
To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find an equivalent angle within that range.
Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.
To determine the coterminal angle with 17π/4, we can subtract or add multiples of 2π until we obtain an angle within the range of 0 to 2π.
Starting with 17π/4, we can subtract 4π to bring it within the range:
17π/4 - 4π = π/4
The angle π/4 is between 0 and 2π and is coterminal with 17π/4.
what is equivalent'?
In mathematics, the term "equivalent" is used to describe two things that have the same value, meaning, or effect. When two mathematical expressions, equations, or statements are equivalent, it means that they are interchangeable and represent the same mathematical concept or relationship.
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Determine if the statements below are True or False. If it's True, explain why. If it's False, explain why not, or simply give an example demonstrating why it's false. A correct choice of "True" or "False" with no explanation will not receive any credit. (a) A 4×5 system of linear equations can have exactly one solution. (b) If the the augmented matrix of a 7×10 homogeneous system has 2 rows of zeroes in RREF, then the system has 5 basic solutions. (c) If A and B are n×n matrices then (A+B)
2
=A
2
+2AB+B
2
.
The statements are as follows:
(a) False, because a 4x5 system of linear equations cannot have exactly one solution.
(b) False, because a homogeneous system with 2 rows of zeroes in RREF will have infinitely many solutions, not 5 basic solutions.
(c) False, because in general, (A+B)^2 ≠ A^2 + 2AB + B^2.
(a) False. A 4x5 system of linear equations cannot have exactly one solution. To have a unique solution, the number of equations must be equal to the number of variables. In this case, we have 4 equations but 5 variables, which means there are more unknowns than equations. This system is underdetermined and will have infinitely many solutions or no solution at all.
(b) False. If the augmented matrix of a 7x10 homogeneous system has 2 rows of zeroes in RREF (Row-Reduced Echelon Form), it implies that there are 2 free variables in the system. The number of basic solutions is determined by the number of non-free variables. Since there are 10 variables in total and 2 of them are free, there will be 10 - 2 = 8 non-free variables. Therefore, the system will have infinitely many solutions, not 5 basic solutions.
(c) False. The statement (A+B)^2 = A^2 + 2AB + B^2 is not true in general. Matrix multiplication does not follow the same distributive property as regular algebra. To demonstrate this, consider two 2x2 matrices A and B:
A = [1 0; 0 1] and B = [0 1; 1 0].
Calculating (A+B)^2:
(A+B)^2 = [(1+0) (0+1); (0+1) (1+0)]^2
= [1 1; 1 1]^2
= [2 2; 2 2].
Calculating A^2 + 2AB + B^2:
A^2 + 2AB + B^2 = [1 0; 0 1]^2 + 2[1 0; 0 1][0 1; 1 0] + [0 1; 1 0]^2
= [1 0; 0 1] + 2[0 0; 0 0] + [0 1; 1 0]
= [1 0; 0 1] + [0 0; 0 0] + [0 1; 1 0]
= [1 1; 1 1].
Since (A+B)^2 = [2 2; 2 2] and A^2 + 2AB + B^2 = [1 1; 1 1], we can see that the statement is not true in general.
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latrell's pool table is 3 feet wide and 7 feet long. latrell wants to replace the felt on the pool table. the felt costs $5.00 per square foot. how much would it cost in total to replace the felt on the pool table?
Latrell would need to pay 105 to replace the felt on his pool table.
Latrell has a pool table that is 3 feet wide and 7 feet long.
The pool table's felt needs to be replaced, and the cost of the felt per square foot is $5.00.
Let's find out how much it would cost Latrell to replace the pool table's felt.
What is the surface area of the pool table.
To determine the surface area of the pool table,
we need to multiply the length by the width, as shown below:
Surface area = length × width
Surface area = 7 ft × 3 ft
Surface area = 21 square feet
Now that we know the surface area of the pool table, we can determine the cost of the felt.
Latrell will need 21 square feet of felt, and it costs $5.00 per square foot.
We can use the following formula to determine the total cost of the felt:
Total cost of felt = cost per square foot × surface area.
Total cost of felt = $5.00 × 21 square feet.
Total cost of felt = $105
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Which ordered pairs are in the solution set of the system is liner inequalities y>-1/3x+2 y<2x+3
Answer:
Option (1)
Step-by-step explanation:
Given linear inequalities in the graph are,
\(y\geq -\frac{1}{3}x+2\)
y < 2x + 3
Here shaded area above the solid line represents the inequality,
\(y\geq -\frac{1}{3}x+2\)
And shaded area on the right side of the dotted line represents the solution set of the inequality,
y < 2x + 3
And the solution set of the system of linear inequalities will be represented by the common area of these inequalities.
Therefore, ordered pairs (2, 2), (3, 1) and (4, 2) will lie in the common shaded area.
Option (1) will be the answer.
Linda throws a dart that hits the square shown below: What is the probability that the dart hits a point in the circle?
18%
21.5%
78.5%
81%
Answer:
78.5%
Step-by-step explanation:
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In the circle below, O is the center, SW is a diameter, VP intersects the circle at W, and UQ intersects the circle at T and S. Use this information to fill in the blanks. 1. Give a chord2. Give a secant line3. Give a tangent line
Theres is a rectangular triangle inscribed innthe circunference
its the triangle STW
then
1. A cord is a line between two pointsnin circumference ,
Its. TW
2.A secant is a LINE that cuts a circle in two points, in this case its represented by line QU
3. A tangent is a line that cuts a circle in ONE point only. In this case is formed by line PV