Answer:
y= 351
Step-by-step explanation:
–39 = – y/9
multiply both sides by 9
9x –39 = – y/9 x9
the nine in the denominator cancels with the 9 that is multiplied
-351 = -y or -y = -351
now we have a -y so we divide by -1 on both sides
-y/-1 = -351/-1
And the answer is y= 351
The distance from Elliot's house to his friend's house is 3 miles. Elliot rode is bike to his friend's house and then walked back home. Elliot averages 4 miles per hour faster when riding his bike than walking. The total amount of time it took Elliot to reach his friends house and then travel back home was two hours. Which equation would be used to find Elliot's walking speed?
Elliot's walking speed was 1 mile/hour.
Elliot's walking speed can be found with the help of the given information.Distance between Elliot's house and friend's house = 3 milesTime taken to reach the friend's house + time taken to return home = 2 hours
Time taken to reach friend's house when riding = Distance/Speed
Time taken to return home when walking = Distance/Speed + 4
Let's assume Elliot's walking speed as x miles/hour.
Distance traveled while riding the bike is equal to distance traveled while walking. Therefore, using the formula for distance,
Distance = Speed × Time
We have,D/S(walking) = D/S(biking)D/x = D/(x + 4)
On cross-multiplying, we get, x(x + 4) = 3x
On solving the above equation, we get
,x² + 4x = 3x⇒ x² + x = 0⇒ x(x + 1) = 0⇒ x = 0 or x = -1
Elliot's walking speed cannot be negative or zero. Therefore, Elliot's walking speed was 1 mile/hour.
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which angles form a linear pair giving brainliest and points
Angles 6 and 8 are adjacent, they are Linear pair οf angles.
What is Linear pair?Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.
Angles 1 and 4 are not adjacent, they are vertically opposite.
Angles 5 and 8 are not adjacent, they are vertically opposite.
Angles 6 and 8 are adjacent, they are Linear pair οf angles
Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.
Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles
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Choose all the expressions that equal 36.
Responses
A (14⋅32)2−28open paren 1 fourth times 32 close paren squared minus 28
B 23 + (58−54)2 + 122 3 + ( 58 - 54 ) 2 + 12
C 92 − (43 + 32) + 3005092 − ( 4 3 + 3 2 ) + 300 50
D 124 + (82 − 42) − 99124 + ( 8 2 − 4 2 ) − 99
E 53 − (2. 5 × 30) − 20
The expressions that equal 36 is:
E) 53 − (2. 5 × 30) − 20
Calculation of Algebra ExpressionEvaluated the mathematical expressions in each response to see if they equal 36.
A. (14⋅32)2−28 = (448)² - 28 = 14⁴ - 28 = 2016 - 28 = 1988, not equal to 36.
B. 23 + (58−54)2 + 122 = 23 + (4)² + 12 = 23 + 16 + 12 = 51, not equal to 36.
C. 92 − (43 + 32) + 30050 = 9² - (7 + 3) + 30050 = 81 - 10 + 30050 = 30021, not equal to 36.
D. 124 + (82 − 42) − 99 = 124 + (64 - 16) - 99 = 124 + 48 - 99 = 73, not equal to 36.
Thus, only the expressions listed in my previous answer equal 36.
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Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
ProviderDownload Speed(megabits per second)CityNet3. 6, 3. 7, 3. 7, 3. 6, 3. 9Able Cable3. 9, 3. 9, 4. 1, 4. 0, 4. 1Tel-N-Net3. 9, 3. 7, 4. 0, 3. 6, 3. 8Which company offers the fastest mean downloading speed
The company that offers the fastest mean downloading speed is Able Cable with a mean downloading speed of 4.0 megabits per second (Mbps). Able Cable has the fastest mean downloading speed when compared to CityNet and Tel-N-Net with means of 3.7 Mbps and 3.8 Mbps, respectively.
Mean downloading speed can be calculated by adding up all the download speeds for each provider and dividing the total by the number of providers. The downloading speeds of three providers, City Net, Able Cable, and Tel-N-Net, are given in megabits per second in the following table: Provider Download Speed(megabits per second)CityNet3.6, 3.7, 3.7, 3.6, 3.9Able Cable3.9, 3.9, 4.1, 4.0, 4.1Tel-N-Net3.9, 3.7, 4.0, 3.6, 3.8
To find which company offers the fastest mean downloading speed, we must calculate the mean (average) downloading speed of each company. We can use the following formula to calculate the mean downloading speed:mean downloading speed = (sum of download speeds) / (number of download speeds)Let's calculate the mean downloading speed of each company.CityNet:mean downloading speed = (3.6 + 3.7 + 3.7 + 3.6 + 3.9) / 5mean downloading speed = 18.5 / 5mean downloading speed = 3.7 MbpsAble Cable:mean downloading speed = (3.9 + 3.9 + 4.1 + 4.0 + 4.1) / 5mean downloading speed = 20 / 5mean downloading speed = 4.0 MbpsTel-N-Net:mean downloading speed = (3.9 + 3.7 + 4.0 + 3.6 + 3.8) / 5mean downloading speed = 18 / 5mean downloading speed = 3.6 MbpsTherefore, the company that offers the fastest mean downloading speed is Able Cable with a mean downloading speed of 4.0 Mbps. Able Cable has the fastest mean downloading speed when compared to CityNet and Tel-N-Net with means of 3.7 Mbps and 3.6 Mbps, respectively.
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In the figure shown below, all the corners form right angles. What is the area of the figure?
15 ft
B.
44 ft²
17 ft
215 ft2
5 ft
7 ft
Based on the dimensions of the shape, the area of the figure can be found to be 215 ft².
How to find the area of the figure?To find the area of the figure, you can divide the shape into two different shapes and then find the area of those shapes, and then sum them up to find the area of the entire figure.
As shown in the attached photo, you can divide the figure into two rectangles with the dimensions:
15 ft and 12 ft (17 - 5)7 ft and 5 ftThe areas are:
= 15 x 12
= 180 ft²
Second rectangle:
= 7 x 5
= 35ft²
The area of the figure is:
= 35 + 180
= 215 ft²
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suppose that 3 fair die are tossed let ai be the event that a 6 shows on the ith die i = 1 2 3 does the p(a1 u a2 u a3 ) = 1/2
The probability of at least one 6 showing on any of the three dice is 91/216, which is not equal to 1/2. Therefore, the answer to the question is no, P (A1 U A2 U A3) does not equal 1/2.
The probability of an event A happening, P(A), is the number of ways that A can occur divided by the total number of possible outcomes. In this case, we want to find the probability of at least one 6 showing on any of the three dice, which is represented by P(A1 U A2 U A3).
We can use the formula P(A1 U A2 U A3) = P(A1) + P(A2) + P(A3) - P(A1 ∩ A2) - P(A1 ∩ A3) - P(A2 ∩ A3) + P(A1 ∩ A2 ∩ A3) to find the probability of at least one 6 showings.
Each die has 6 possible outcomes, so the probability of getting a 6 on any one die is 1/6. The probability of getting a 6 on two dice is (1/6)*(1/6) = 1/36, and the probability of getting a 6 on all three dice is (1/6)*(1/6)*(1/6) = 1/216.
Plugging these values into the formula, we get:
P(A1 U A2 U A3) = (1/6) + (1/6) + (1/6) - (1/36) - (1/36) - (1/36) + (1/216) = 91/216
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12. An item was sold at a loss of 20%. Had it been sold for Rs. 50
more then, the profit would have been 5%. What is the cost
price of the item?
Given:
An item was sold at a loss of 20%.
If the item is sol for Rs. 50 more then, the profit would have been 5%.
To find:
The cost price of the item.
Solution:
Let x be the cost price of the item.
The item was sold at a loss of 20%. Then selling selling price is:
\(S.P.=x-\dfrac{20}{100}x\)
\(S.P.=x-0.2x\)
\(S.P.=0.8x\)
If a the item is sold for 5% profit, then the selling price is:
\(S.P.=x+\dfrac{5}{100}x\)
\(S.P.=x+0.05x\)
\(S.P.=1.05x\)
It is given that, if the item is sol for Rs. 50 more then, the profit would have been 5%. So,
\(0.8x+50=1.05x\)
\(50=1.05x-0.8x\)
\(50=0.25x\)
Divide both sides by 0.25.
\(\dfrac{50}{0.25}=x\)
\(200=x\)
Therefore, the cost price of the item is Rs. 200.
find radius of circle - diameter = 334 yd
Answer:
167 yd
Step-by-step explanation:
Radius = diameter/2
334 yd/2
167 yd
If a factory produces 1,672 steering wheels during an 11 hour shift , what is the production rate of steering wheels per hour? [PLS ANSWER!]
Why is 1 a rational number?
Answer:
please mark brainliest
as it's not in root form and root 1 Is 1 it is a rational number
Step-by-step explanation:
you can easily find if a number is rational or not for eg root 4
root 4 is 2 so it will be rational where as root 3 there is no answer.for root 3 unless it decimal so it irrational as well as pie is irrational
6) One hundred tickets numbered 1,2,3,...,100, are sold to 100 different people for a drawing. Three different prizes are awarded, including the grand prize (trip to Serbia), and no person can get more than one prize. a) How many ways are there to award prizes? b) In how many ways can you do this if person holding the ticket 23 must get a prize? c) In how many ways can you do this if the person holding ticket 8 and the person holding ticket 11 must win prizes? d) In how many ways can you do this if the grand prize winner is a person holding ticket 8,11 or 23?
The following parts can be answered by the concept of Combination.
a. The total number of ways to award prizes is 100 x 99 x 98 = 970,200.
b. The total number of ways to award prizes in this scenario is 99 x 98 x 97 = 941,094.
c. The total number of ways to award prizes in this scenario is 98 x 97 x 96 = 912,192.
d. The grand prize winner is a person holding ticket 8,11 or 23 is 3 x 99 x 98 = 29,178.
a) There are a total of 100 choices for the first prize, 99 choices for the second prize (since one person already won a prize), and 98 choices for the third prize (since two people already won prizes). So, the total number of ways to award prizes is 100 x 99 x 98 = 970,200.
b) If person holding the ticket 23 must get a prize, then there are only 99 choices for the first prize (since ticket 23 is already taken), 98 choices for the second prize, and 97 choices for the third prize. So, the total number of ways to award prizes in this scenario is 99 x 98 x 97 = 941,094.
c) If the person holding ticket 8 and the person holding ticket 11 must win prizes, then there are only 98 choices for the first prize (since tickets 8 and 11 are already taken), 97 choices for the second prize, and 96 choices for the third prize. So, the total number of ways to award prizes in this scenario is 98 x 97 x 96 = 912,192.
d) If the grand prize winner is a person holding ticket 8,11 or 23, then there are only 3 choices for the first prize (since only these three tickets are eligible for the grand prize), 99 choices for the second prize (since one person already won a prize and the grand prize winner is not eligible for the second prize), and 98 choices for the third prize (since two people already won prizes). So, the total number of ways to award prizes in this scenario is 3 x 99 x 98 = 29,178.
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1. Given the tax table below, write a piecewise function to represent the situation. Let x equal the taxable income and T) equal the income tax. Sample Income Tax Table Tax rate Taxable income reported Over Not over 15% $0 $32,450 28% $32,450 $78,400 33% $78,400 $155,800 38% $155,800
A triangle has a base length of 2ac? and a height 6 centimeters more than the base length. Find the area of thetriangle if a = 4 and c = 2.O 1,216 cm?O 608 cm?AO576 cm?O224 cm?
Take into account that the area of the triangle is given by:
\(A=\frac{1}{2}bh\)where,
b: base length of the triangle = 2ac^2
h: height of the triangle = 6 + 2ac^2
in this case, a = 4 and c = 2.
Replace the given expressions for b and h and then replace the values of a and b:
\(\begin{gathered} A=\frac{1}{2}(2ac^2)(6+2ac^2) \\ A=\frac{1}{2}(2\cdot4\cdot2^2)(6+2\cdot4\cdot2^2) \\ A=\frac{1}{2}(32)(6+32) \\ A=\frac{1}{2}(32)(38) \\ A=608 \end{gathered}\)Hence, the area of the given triangle is 608 cm^2
T/F: the coefficient of determination measures the variation in the dependent variable that is explained by the regression model.
True. The coefficient of determination (R²) measures the proportion of the variation in the dependent variable that is explained by the regression model.
In statistics, the coefficient of determination (denoted R² or r² and pronounced "R squared") is used in the context of statistical models whose main purpose is either the prediction of future results or the testing of hypotheses, on the basis of other related information.
It is also known as the multiple correlation coefficient or the multiple determination coefficient. It is the proportion of the variance in the dependent variable that is predictable from the independent variable(s).
In a simple regression model, this is the square of the correlation between the dependent variable and the single independent variable.
Hence, the given statement is True.
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What is the probability of rolling a sum of 8 with a pair of dice?
Answer:
\(\frac{5}{36}\)
Step-by-step explanation:
the total number of possible combinations of rolling two dice is 36 because a side has 6 sides and \(6^{2}=36\)
and possible combinations that sum to 8 are
2 and 63 and 54 and 45 and 36 and 2which are 5 possible combinations which gives \(\frac{5}{36}\)
i need too find the missing side lengths does anyone know the answer!
Answer:
Step-by-step explanation:
\(sin45=\frac{x}{4}\) \((sin=\frac{opposite}{hypotenuse})\)
\(x=4sin45\)
\(=\frac{4}{\sqrt{2}}\)
\(=\frac{4}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}\)
\(=\frac{4\sqrt{2} }{2}\)
\(=2\sqrt{2}\)
\(cos45=\frac{y}{4}\) \((cos=\frac{adjacent}{hypotenuse})\)
\(y=4cos45\)
\(=\frac{4}{\sqrt{2}}\)
\(=2\sqrt{2}\)
Find the value of each variable
Answer:
m∠P = m∠Q = m∠R = 60º
Step-by-step explanation:
Because each of the sides are congruent, the angles are congruent. A triangle must add up to 180º, so when you divide 180 by 3, you get 60. Therefore, each angle is 60º.
Answer:
angle P = 60
angle Q = 60
angle R = 60
Step-by-step explanation:
The triangle in the picture is an equilateral triangle. This means that all angles are the same.
Since all triangles have the interior angle of 180, simply take 180 and divide it by 3:
⇒ 180 ÷ 3
⇒ 60
All three angles are 60 degrees
A line passes through the points (-6,-8) and (-3,-7) what is the equation of the line in Slope Intercept Form
A
B
C
D
shown in picture
Answer:
Your answer is B) \(y=\frac{1}{3}x-6\)
what is the first in solving this equation x minus 17 divided by 3 equals minus 3
Answer:
8
Step-by-step explanation:
(x -17) ÷ 3 = -3
x-17 = -3×3
x-17 = -9
x = -9+17
x = 8
To test the effect of a new exercise routine on muscle growth, a researcher sets up the following experiment: 60 volunteers subjects (40 men and 20 women) of average build are selected to participate in the study. Their body mass and muscle sizes (biceps, thighs, etc.) are measured. The researcher gives all the men a DVD with the new exercise routine, and the women a DVD with a standard routine, but only the researcher knows this.
The results of the experiment are likely to be invalid mostly because .
The treatment group and control group were not the same size.
The subjects were volunteers.
The subjects did not know if they were getting the real treatment.
The gender of the subject is a confounding variable in this situation.
The results most probably be invalid because the subjects were voluntary sample.
What is sample in statistics?
Any quantity from a population sample is referred to as a sample statistic. A sample is a collection of components chosen at random from the population. The parameters are the characteristics of the population, and statistics are the characteristics of the sample data. Both the population and the sample are crucial components of statistics.By utilising sample statistics, inferential statistics provides strategies for generalising population features. Consider the following statistic: "50% of kindergarten students in India watch TV for more than 20 hours a week." Not all kindergarten students in India were polled regarding their TV viewing habits in order to reach this conclusion. Instead, by using sample space to estimate the population parameters, this conclusion would have been reached.To know more about statistics check the below link:
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please help me asap plz
Unit rate is the conversion of one unit to another unit with its standard conversion.
The width of the gymnasium in the blueprint is 4.75 inches.
What is unit conversion?Unit rate is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 km = 100 m
1 m = 100 cm
1 feet = 12 inches
We have,
Gymnasium:
Length = 88 feet
Width = 76 feet ____(1)
Blueprint:
Gymnasium:
Length = 5.5 inches
This means,
88 feet = 5.5 inches
Divide both sides by 88.
1 feet = 0.0625 inches ____(2
The width of the gymnasium on the blueprint.
From (1) and (2)
76 feet
= 76 x 1 feet
= 76 x 0.0625 inches
= 4.75 inches.
Thus,
The width of the gymnasium in the blueprint is 4.75 inches.
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The assets (in billions of dollars) for a financial firm can be approximated by the function A(x) = 311e 037x where x = 7 corresponds to the year 2007. Find the assets in each of the following years. (a) 2011
True. This is a true statement known as the invertible matrix theorem. If a square matrix is invertible, then there exists a matrix b such that ab equals the identity matrix. However, not all square matrices are invertible.
True. If matrix A is a square matrix and has an inverse matrix B, then the product of A and B (AB) equals the identity matrix. In other words, if A is invertible, there exists a matrix B such that AB = BA = I, where I is the identity matrix. This is a true statement known as the invertible matrix theorem. If a square matrix is invertible, then there exists a matrix b such that ab equals the identity matrix. However, not all square matrices are invertible.
True. If matrix A is a square matrix and has an inverse matrix B, then the product of A and B (AB) equals the identity matrix. In other words, if A is invertible, there exists a matrix B such that AB = BA = I, where I is the identity matrix.
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pleaseee help me answer this question
Answer: use the radious
Step-by-step explanation:
An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
Find the amount of money in an account after 11 years if $4,500 is deposited at 8% annual interest compounded semiannually A. $10,492.38 B. $10,664.63 C. $10,817.41 D. $10,755.24
The amount of money in the account after 11 years with a $4,500 deposit at 8% annual interest compounded semiannually is $10,817.41 . (C)
To calculate this, we use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the future value, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.
1. Convert the annual interest rate to a decimal: 8% = 0.08.
2. Divide the annual interest rate by the number of compounding periods per year: 0.08/2 = 0.04.
3. Determine the total number of compounding periods: 11 years × 2 compounding periods per year = 22.
4. Use the formula: A = $4,500(1 + 0.04)^(22) = $10,817.41.
Thus, after 11 years, the account will have $10,817.41. (C)
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a%b when a=2 and b=1/2
Answer:
0.01
Step-by-step explanation:
T/F. Exception reports show a greater level of detail than is included in routine reports.
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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y = -x + 1 | what is the slope and y-intercept? step by step please.
it's in slope intercept form,, y=mx+b
m is slope
b is y-int
slope: -1
y-int: 1