ANSWER and EXPLANATION
We want to solve the system of equations given:
\(\begin{gathered} -5x+7y=8 \\ 5x-7y=-8 \end{gathered}\)Let us solve it by adding the equations:
\(\begin{gathered} -5x+7y+5x-7y=8+(-8) \\ -5x+5x+7y-7y=8-8 \\ \Rightarrow0+0=0 \\ \Rightarrow0=0 \end{gathered}\)The above statement is true.
As we can see above, 0 appears on both sides of the solution.
This implies that the system of equations has infinitely many solutions.
(b) Estimate the percentage of customer accounts for which the number of days is between 22 and 32.Х(Choose one)of the customer accounts have payment made between 22 and 32 days.
68%
Explanation:\(\begin{gathered} \text{mean = }\mu\text{ = 27} \\ \text{standard deviation = }\sigma\text{ = 5} \end{gathered}\)Using the empirical formula of normal distribution:
\(\begin{gathered} 68\text{ \% of the data fall within }1\text{ standard deviation of the mean} \\ 95\text{ \% of the data fall within 2 standard deviation of the mean} \\ 99.7\text{ of the data fall within 3 standard deviation of the mean} \end{gathered}\)\(\begin{gathered} x\text{ is betw}en\text{ 22 and 32, we are looking for the percentage} \\ 32\text{ = }27\text{ + 5} \\ 22\text{ = 27 - 5} \end{gathered}\)\(\begin{gathered} \text{This can be written as: } \\ \text{32 = }\mu\text{ + 1}\sigma \\ 27\text{ = }\mu\text{ - 1}\sigma \\ \text{ 27 < x < 32 = }\mu\text{ - 1}\sigma\text{ < x < }\mu\text{ + 1}\sigma \\ 68\text{ \% of the customer accounts have payment made betw}en\text{ 22 and 32 days} \end{gathered}\)Im not sure how to evaluate A(x) is A(2) = -2pi?
Answer:
Step-by-step explanation:
plug the units in and multiply then you should have a answer
PLEASE GUYS HELP!!
Solve 2(x + 3) = 18
Answer:
\(\mathrm{x=6}\)Step-by-step explanation:
\(\mathrm{2\left(x+3\right)=18}\)
Divide both sides by 2:-
\(\mathrm{\cfrac{2\left(x+3\right)}{2}=\cfrac{18}{2}}\)
Simplify:-
\(\mathrm{x+3=\cfrac{18}{2} }\)
\(\mathrm{x+3=9}\)
Subtract 3 from both sides:-
\(\mathrm{x+3-3=9-3}\)
\(\mathrm{x=6}\)
_____________________
Hope this helps!
Tina's Treats charges a $4.35 fee for each delivery. Which table best represents the relationship between f, the amount made from the delivery fee, and d, the number of deliveries made in a day?
Answer:
Is there any answer choices? If not I would think its 5$
5$
4$
Step-by-step explanation:
If an odd number is less than 15, then it is prime
Answer:
False
Step-by-step explanation:
To show that this is false, all we have to do is find one example.
9 is an odd number less than 15
9 is composite
9 =3*3
Help please will mark brainliest!!!
Answer:
9 times 2 because of the 2 sides meaning... the answer is... 18 but also had to round it up to 20 because it's higher than 5 its 2 left but if necessary i think you need to add 9 more on the other side with the 9 across and do the same with the 2 mi!
Step-by-step explanation:
Hope i helped! Your welcome! Have a great week!
Manisha buys a television set with 13% VAT after allowing her 15% discount for 9605. what was the actual price of television set and amount of VAT?
The actual price of the television set is 9225.6 and the amount of VAT is 1061.35
What is discount?Discount is a percentage deducted from the the actual selling price of a product. The discount given is 15% of the selling price 9605.
Therefore, discount = 15/100 × 9605
= 1440.75
Therefore the price of the television= 9605 - 1440.75
= 8164.25
After the discount the, VAT of 13 % is added
= 8164.25 × 13/100
= 1061.35
The new price of the television set = 8164.25 + 1061.35
= 9225.6
therefore the actual price of the television set is 9225.6 and the VAT is 1061.35
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please help, ty (will give brainliest)
Answer:about 19
Step-by-step explanation:
The number isn’t whole but its close to that
HELP ME ASAP!!! YOU WILL BE BRAINLIEST
We can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
The theoretical probability of rolling a 5 on a fair die is 1/6, which means that if the die is rolled many times, we would expect to see a 5 about 1/6 of the time.
For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 25/100
experimental probability = 0.25
So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.
For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 30/200
experimental probability = 0.15
So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.
Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.
On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.
Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.
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We might say that Maya's experimental probabilities oscillate about the theoretical probability, but after more trials, the experimental probabilities ought to converge to the theoretical probability.
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
A fair die has a theoretical probability of rolling a 5 of 1/6, therefore if the die is rolled several times, we can anticipate seeing a 5 roughly 1/6 of the time.
For the first 100 trials, Maya rolled a 5 on 25 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 25/100
experimental probability = 0.25
So, in the first 100 trials, Maya's experimental probability of rolling a 5 was 0.25.
For the first 200 trials, Maya rolled a 5 on 30 of those trials. The experimental probability of rolling a 5 in this case is:
experimental probability = number of 5's rolled / number of trials
experimental probability = 30/200
experimental probability = 0.15
So, in the first 200 trials, Maya's experimental probability of rolling a 5 was 0.15.
Comparing these experimental probabilities to the theoretical probability, we see that after 100 trials, Maya's experimental probability of rolling a 5 (0.25) is higher than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 100 trials was somewhat biased in favor of rolling a 5.
On the other hand, after 200 trials, Maya's experimental probability of rolling a 5 (0.15) is lower than the theoretical probability (1/6 ≈ 0.167). This suggests that Maya's sample of 200 trials was somewhat biased against rolling a 5.
Overall, we can conclude that Maya's experimental probabilities fluctuate around the theoretical probability, but over a larger number of trials, the experimental probabilities should converge towards the theoretical probability. This is known as the law of large numbers, which states that as the number of trials or observations increases, the experimental probability will tend to approach the theoretical probability.
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Solve the following problems using the Polygon Interior Angle Sum Theorem and Polygon Exterior Angle Sum Theorem.
Sum of the measures of the interior angles of the regular nonagon
Measure of each interior angle of the regular nonagon
Measure of each exterior angle of the regular nonagon
a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°
b) The measure of each interior angle of the regular nonagon is a = 140°
c) The measure of each exterior angle of the regular nonagon is b = 40°
Given data ,
Sum of the measures of the interior angles of a regular nonagon:
The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:
Sum of interior angles = (n - 2) * 180°
For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:
Sum of interior angles = (9 - 2) * 180
Sum of interior angles = 7 * 180
Sum of interior angles = 1260°
So, the sum of the measures of the interior angles of a regular nonagon is 1260°
Measure of each interior angle of a regular nonagon:
Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:
Measure of each interior angle = Sum of interior angles / Number of sides
Measure of each interior angle = 1260 / 9
Measure of each interior angle = 140°
So, the measure of each interior angle of a regular nonagon is 140°
Measure of each exterior angle of a regular nonagon:
The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°
Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:
Measure of each exterior angle = 360 / Number of sides
Measure of each exterior angle = 360 / 9
Measure of each exterior angle = 40°
Hence , the measure of each exterior angle of a regular nonagon is 40°
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During a single day at the radio station WMZH, the probability that a particular song is played is 1/6. What is the probability that this song will be played on exactly 6 days out of 7 days? Round your answer to the nearest thousandth.
Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.
Every day represents a trial in this binomial probability issue, and there are only two potential results:
either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.
The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.
We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:
P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹
where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:
(7 choose 6) = 7! / (6! * 1!) = 7
Plugging in the values, we get:
P(6 successes) = 7 * (1/6)⁶ * (5/6)¹
P(6 successes) ≈0.00012502
Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.
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Stanley says, "If a point is not on a line, then the line and the point exist on exactly one plane." If the point IS on the line, how would his statement need to be changed? Thank you!
Answer:
If the point IS on the line, then the point and the line exist on an infinite number of planes.
Step-by-step explanation:
If the point IS on the line, then the point and the line exist on an infinite number of planes.
PLEASE HELP WILL GIVE BRAINLIEST
The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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Calvin estimated he would need 8 hours to
complete his science project. It actually took
him 12 1/2 hours to get everything done. What
was his percent error?
Answer:45%
Step-by-step explanation:
Tara has a 5-liter conteiner of water. She pours 3 liters of the water into a pitcher .She pours the rest of the water into 8 glasses so that each glass has an equal amount of water. How many milliliters of water does Tara pour into each glass,?
Answer:
250 ML
Step-by-step explanation:
1000 ML = 1 L and 250 ML = 0.25 L
Please help will mark branlist
Answer:
10
Step-by-step explanation:
After hour, pay increases by 10.
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)
At least 11
The probability that the sum of the pips selected that is at least 11 would be = 1/12.
How to determine the probability of the selected events?To determine the probability of the selected events, the formula for problem should be used which is given below;
Probability = possible outcome/sample space
Possible outcome = at least 11 = (5,6),(6,5),(6,6)
= 3
Sample space = 36
Probability = 3/36 = 1/12
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1. Which of the following results in the difference of two squares?
O (3r-5y) (3x - 5y)
O (5x+3y) (5x-3y)
O 4r²(3r-9)
O (2r-3y)2
The difference of two squares is (5x+3y) (5x-3y)
How to determine the difference of two squares?The difference of two squares of variables a and b is represented as:
(a + b)(a - b) = a^2 - b^2
By comparing the list of options, we have:
(5x+3y) (5x-3y)
This means that
a = 5x and b = 3y
Hence, the difference of two squares is (5x+3y) (5x-3y)
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What is the number in scientific notation? 0.000000000093
Check the picture below.
In a class, the ratio of girls to boys is 2:3. There are 12 boys in the class. How many women are in the class?
Group of answer choices
1. 13
2. 18
3. 8
4. 11
Answer:
8
Step-by-step explanation:
Because we multiply 4 by both sides
2 times 4 is 8 for girls
4 times 3 is 12 for boys
So it asked for girls and 4 times 2 is 8
So the answer is 8
8 women are in the class.
60 POINTS ANSWER FOR BRAINLIST AND HEARTS
Answer:
a. The given equation is (y - 3)^2 -10 = 71. To determine the number and type of solutions, we need to use the discriminant, which is given by b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation in standard form (ax^2 + bx + c = 0). In this case, the equation can be rewritten as (y - 3)^2 = 81, which is in the form of (y - k)^2 = r^2, where k = 3 and r = 9. Therefore, the equation can be written as (y - k)^2 - r^2 = 0, which is a quadratic equation with a = 1, b = -6, and c = -72. The discriminant is then b^2 - 4ac = (-6)^2 - 4(1)(-72) = 300. Since the discriminant is positive, there are two real solutions.
b. To solve the equation (y - 3)^2 -10 = 71, we first add 10 to both sides to get (y - 3)^2 = 81. Then, we take the square root of both sides to get y - 3 = ±9. Adding 3 to both sides, we get y = 3 ± 9, which gives us two solutions: y = 12 and y = -6.
Therefore, the equation (y - 3)^2 -10 = 71 has two real solutions, which are y = 12 and y = -6.
Step-by-step explanation:
Answer: type: real number of solutions:2 y=12,-6
Step-by-step explanation:
see images for explanations
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Trevor Sherr is paid $1.20 for each hand-painted
dish he produces. He is not paid for dishes that
are not acceptable. On Monday, he painted 56
dishes; on Tuesday, he painted 44 dishes. For
the two days 6 dishes contained slight errors
and were unacceptable. What gross pay did
Trevor earn for the two days?
Answer:
$112.80
Step-by-step explanation:
First, add 56 and 44, which is 100. Then because 6 of the dishes contained errors, he didn't sell them, so subtract 6 from 100. You will get 94. Then you multiply 94 by 1.20 which would give you a result of $112.80.
WHOEVER GET'S THIS QUESTION RIGHT I WILL GIVE A BRAINLIEST
The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (Figure not to scale)
A)
12 1 / 2 cm^3
B)
45 cm^3
C)
67 1 / 2 cm^3
D)
85 cm^3
Answer:
c. 67.5 cm^3
Step-by-step explanation:
V=whl
v=5*3*4.5
v=15*4.5
v=67.5 c^3
So C would be correct
Hope i helped, Brainliest would be appreciated!
Have a nice day!
-Aadi x
which of the following is not a characteristic of both surveys and observational studies?
a. the researcher direct control over at least one variable
b. data are collected about population
c. the researcher does not control or change the population
d. results are not used to prove cause and effect
The characteristic of the researcher having direct control over at least one variable to both surveys and Observational .
The option that is not a characteristic of both surveys and observational studies is:
a. The researcher has direct control over at least one variable.
Surveys and observational studies have several characteristics in common, such as collecting data about a population and not proving cause and effect. However, the characteristic of the researcher having direct control over at least one variable is not applicable to both surveys and observational studies.
In a survey, the researcher collects data by asking questions to individuals or groups. They do not have direct control over the variables being studied but rather collect information based on participants' responses. The researcher's role is primarily in designing the survey, selecting the sample, and analyzing the data.
In an observational study, the researcher observes and records data without intervening or manipulating any variables. The researcher does not have control over the variables being observed; instead, they observe and document the existing conditions or behaviors.
the characteristic of the researcher having direct control over at least one variable is not applicable to both surveys and observational studies. Both methods involve data collection about a population and do not establish cause and effect relationships, but control over variables is not a shared characteristic.
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ILL GIVE BRAINLY What is the surface area of the cube?
Drag and drop the correct surface area to match the cube.
Answer:
Below
Step-by-step explanation:
A cube has SIX sides of equal area
each side has area = L x W and L and W are the same = 4.5 m
so: Area = six X ( 4.5 X 4.5) = 6 * 4.5 * 4.5 = 121.5 m^2
Answer:
Hope the picture will help you...
8. Find the value of x for which ABCD must be a parallelogram.
A
O
5
O 4
18
19
B
x + 14
6 + 3x
C
Answer:
Step-by-step explanation:
its 18
Answer:
x = 4
Step-by-step explanation:
6 + 3x = x + 14
2x = 8
x = 4
what 2 distributive property expressions equal to 108
The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108
What is an equation?An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.
The distributive property is given as:
a(b + c) = ab + ac
3(20 + 16) = 3(20) + 3(16) = 60 + 48 = 108
Also:
4(13 + 14) = 4(13) + 4(14) = 52 + 56 = 108
The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108
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The phone company charges $19.99 per line for the first 3 phone lines and $15.99 for each additional line. Customer ordered 7 lines, how much will they be charge per month?
The total charge for the month is given as follows:
$123.93.
How to obtain the total charge for the month?The total charge for the month is obtained applying the proportions in the context of the problem.
The costs are given as follows:
$19.99 per line for the first three lines.$15.99 per line for each additional line.For a customer with 7 lines, the charges are given as follows:
$19.99 for each of the first three lines.$15.99 for each of the last four lines.Hence the total charge is then calculated as follows:
3 x 19.99 + 4 x 15.99 = $123.93.
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11311 rounded off to the nearest 100
Answer:
11300
Step-by-step explanation:
The closest 100 to 11311 is 11300
If the number was 11351 you would round up to 11400