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PLEASE ANSWER! BRAINLIESTTTTT
Ellen has $75 in her savings account. She deposits $25 every week. Her father also deposits $35 into the account every time Ellen mows the lawn. Her savings account balance can be shown with the following expression:
75 + 25w + 35m
Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)
Part B: If Ellen saves for 8 weeks and mows the lawn 2 times, how much will she have in her account? Show your work to receive full credit. (4 points)
Part C: If Ellen had $95 in her savings account, would the coefficient, variable, or constant in the expression change? Why? (3 points)
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B:25x8=200+75=345
C:coefficient because instead of 75, it would be 95 changing the equation
Hopefully I did it right
part b: $345
part c: only the constant would change because her original amount is 75 so if you change 95 it should be the expression 95+25w+35m
Consider that 1 in=2.54 cm. if 1559 cm is converted to inches, how many significant figures should be in the answer
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To convert 1559 cm to inches, divide by 2.54, and the result should be reported with the same number of significant figures as the given measurement, which is four. Thus, 1559 cm is equal to 613.8 inches.
Explanation:To convert 1559 cm to inches using the conversion factor 1 inch = 2.54 cm, we divide 1559 by 2.54. The number 1559 has four significant figures because all non-zero digits are considered significant. Since the conversion factor 2.54 cm per inch is exact and does not limit the number of significant figures, the result should also be reported with four significant figures.
The calculation would be as follows:
1559 cm ÷ 2.54 cm/in = 613.7795 inchesTo match the number of significant figures in 1559, we round the result to four significant figures.So, 1559 cm is equal to 613.8 inches when converted and properly rounded.
the intersection of the perpendicular rays below has formed which of the following?
a. 4 obtuse angles b. 4 right angles c. 4 acute angles d. 4 straight lines
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perpendicular lines always create 90° angles
What are the factors of the function graphed below?
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Roots are at:
-2, 0, 1, 2
a factor is in the form (x + a) where a = the negative of a root
So the factors are:
(x+2)
(x + 0) = x
(x -1)
and
(x-2)
The diagram shows triangle KLM. Which term describes point N?
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Answer:
C. Circumcenter.
Step-by-step explanation:
We have been given an image of a triangle KLM and we are asked to choose the term that describes point N.
We can see that point N is the point where perpendicular bisector of our given triangle are intersecting.
Since the point where the perpendicular bisectors of a triangle intersect is called circumcenter, therefore, point N is the circumcenter of our given triangle KLM nad option C is the correct choice.
how can you interpret the independent or conditional probability of two events
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1. Independent probability of A and B occurring together (drawing a red queen): [tex]\( \frac{1}{26} \)[/tex]
2. Conditional probability of A given B (drawing a red card given that a queen was drawn): [tex]\( \frac{1}{2} \)[/tex]
- Independent probability: This is the probability of two events occurring together, assuming that one event's occurrence does not affect the other. Mathematically, if A and B are independent events, then [tex]\( P(A \cap B) = P(A) \times P(B) \).[/tex]
- Conditional probability: This is the probability of an event occurring given that another event has already occurred. Mathematically, if A and B are events with[tex]\( P(B) > 0 \)[/tex], then the conditional probability of A given B is [tex]\( P(A|B) = \frac{P(A \cap B)}{P(B)} \).[/tex]
Let's illustrate these concepts with an example:
Suppose we have a deck of cards (52 cards total), and we're interested in two events:
A: Drawing a red card
B: Drawing a queen
First, let's find the independent probabilities:
1. Probability of A (drawing a red card):
- There are 26 red cards out of 52 total cards, so [tex]\( P(A) = \frac{26}{52} = \frac{1}{2} \).[/tex]
2. Probability of B (drawing a queen):
- There are 4 queens out of 52 total cards, so[tex]\( P(B) = \frac{4}{52} = \frac{1}{13} \).[/tex]
Now, let's find the probability of both events occurring together (A and B):
3. Probability of A and B (drawing a red queen):
- There are 2 red queens (hearts and diamonds) out of 52 total cards, so [tex]\( P(A \cap B) = \frac{2}{52} = \frac{1}{26} \).[/tex]
For independent events,[tex]\( P(A \cap B) = P(A) \times P(B) \):[/tex]
[tex]\[ \frac{1}{26} = \frac{1}{2} \times \frac{1}{13} \][/tex]
Now, let's find the conditional probability of A given B:
[tex]\[ P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{1}{26}}{\frac{1}{13}} = \frac{1}{2} \][/tex]
1. Independent probability of A and B occurring together (drawing a red queen): [tex]\( \frac{1}{26} \)[/tex]
2. Conditional probability of A given B (drawing a red card given that a queen was drawn): [tex]\( \frac{1}{2} \)[/tex]
In summary, we first calculated the independent probabilities of A and B, then found the probability of A and B occurring together, and finally calculated the conditional probability of A given B using the given formulas and calculations.v
complete question
how can you interpret the independent or conditional probability of two events
Every day a factory produces 5000 light bulbs, of which 2500 are type 1 and 2500 are type 2. if a sample of 40 light bulbs is selected at random on a particular day, and examined for defects, what is the approximate probability that this sample contains at least 18 light bulbs of each type?
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solve the given problem 7y-84=2y+61
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-2y -2y
5y - 84 = 61
+84 +84
5y = 145
y = 29
Don't Put a Bad Words on your answer and you get a warning and report.
One of the rows in the table has an error and does not have the same ratio as the other rows.
Conversion Chart
Feet
Inches
Row 1
3
36
Row 2
6
72
Row 3
7
94
Row 4
9
108
Which explains how to correct the error in the table?
A.Row 1 should show 3 feet is equivalent to 32 inches.
B.Row 2 should show 6 feet is equivalent to 66 inches.
C.Row 3 should show 7 feet is equivalent to 84 inches.
D.Row 4 should show 9 feet is equivalent to 104 inches.
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The function f(x) is shown in the graph.
What is the equation for f(x)?
Enter your answer in the box.
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That's the answer I'm thinking
Sarah needs 11 bottles of water from the store. sarah can only carry three at a time. what's the minimum number of trips sarah needs to make to the store?
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PLEASE ANSWER ASAP !!!
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38+<1=180 degrees (<1 just represents angle one)
<1=180-38
<1=142 degrees
Therefore, the angle of 5 is 142 degrees as well.
Hope I helped :)
To find a baseball pitcher's earned run average (ERA), you can use the formula Ei = 9r, in which E represents ERA, i represents the number of innings pitched, and r represents the number of earned runs allowed. Solve the equation for E. What is a pitcher's ERA if he allows 57 earned runs in 63 innings pitched? If necessary, round your answer to the nearest hundredth.
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E = (9r) / i
E = (9 * 57) / 63
E = 513/63
E = 8.14 <==
A(n) __________ transformation preserves the size and shape of an object's original image; the image is congruent to the pre-image.
A. dilation
B. isometric
C. scale
D. non-isometric
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The correct transformation that preserves the size and shape of an object, resulting in congruent images, is an isometric transformation. Examples include translation, rotation, and reflection, all of which maintain the object's proportions and dimensions.
A transformation that preserves the size and shape of an object's original image, such that the image is congruent to the pre-image, is known as an isometric transformation. This transformation includes operations like translation (a shift from one place to another), rotation (turning around a center), and reflection (flipping over a line). All these transformations keep the object's dimensions and proportions unchanged. The key property of isometric transformations is that they maintain congruency and preserve distances and angles.
An example of an isometric transformation is when a square is rotated 90 degrees around its center. The square's shape and size remain the same, even though its orientation has changed. This contrasts with dilation, which changes the size of the object, and affine transformations, which can alter both shape and size, such as through stretching or skewing. The correct answer to the student's question is B. isometric.
The sum of the squares of two consecutive even integers is 452. find the two integers.
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I m here to help u!!!
Let the two consecutive even integers are:-
x and x+2
according to the question ,we have
x^2 + (x+2)^2 =452
2x^2 + 4 + 4x =452
x^2 +2x -224=0
Now splitting the middle terms
x^2 + 16x -14x -224=0
we get
x=14
So the integers are 14 and 16.
I Hope it helps you!
[tex](x)^{2} +(x+1)^{2} =452[/tex]
We can simplify that down to [tex]2x^{2}+4x+4 =452[/tex]. Now, we can subtract 452 from both sides to make the whole left side equation equal to zero. Doing that gives us [tex]2x^{2}+4x-448=0[/tex]. We see that 2 can be factored out of the whole equation, giving us [tex] 2(x^{2}+2x-224)=0[/tex]. Next, we can factor the equation to get [tex](x-16)(x+14)=0[/tex]. We can use the Zero Product Property to find the x values of -16 and 14. Therefore, the two integers are -16 and 14. Hope this helped!
Mariya is solving the quadratic equation by completing the square.
4x2 – 20x + 3 = 0
4x2 – 20x = –3
A(x2 – 5x) = –3
What is the value of A?
Answers
4x2 – 20x + 3 = 0
-3 -3
4x2 - 20 x = - 3
Pull out common factor which is 4
4 ( x2 - 5x) = - 3
Answer:
The value of A is 4.
Step-by-step explanation:
Consider the provided quadratic equation.
[tex]4x^2-20x+3=0[/tex]
Subtract 3 from both sides.
[tex]4x^2-20x+3-3=-3[/tex]
[tex]4x^2-20x=-3[/tex]
Now take 4 common from the left side of the above equation.
[tex]4(x^2-5x)=-3[/tex]
Compare the above equation with [tex]A(x^2 - 5x) = -3[/tex]
By the comparison it is clear the value of A is 4.
Hence, the value of A is 4.
Make a conjecture about the next item in the sequence. 3, 6, 12, 24, …
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Each item is two times the previous item. Multiply each item by two to get the next item in the sequence.
if the population of state is 1,821,000 decreasing by 0.2% every year what will the population be in 5 years PLEASE PLEASE HELP
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(Note 2% = 0.002 as a decimal fraction.)
Answer:
1,802,862.
Step-by-step explanation:
We have been given that the population of state is 1,821,000 decreasing by 0.2% every year. We are asked to find the population of state after 5 years.
We will use exponential decay function to solve our given problem.
[tex]y=a\cdot b^x[/tex], where,
y = Amount left after x years,
a = Initial amount,
b = For decay b is in form (1-r) where r represents decay rate in decimal form.
x = Number of years.
Let us convert our given rate in decimal form.
[tex]0.2\%=\frac{0.2}{100}=0.002[/tex]
Upon substituting our given values in above formula we will get,
[tex]y=1,821,000 \cdot(1-0.002)^5[/tex]
[tex]y=1,821,000 \cdot(0.998)^5[/tex]
[tex]y=1,821,000 \cdot 0.990039920079968[/tex]
[tex]y=1,802,862.69[/tex]
Since we can not have 0.69 of a person, therefore, we will round down our answer.
[tex]y=1,802,862.69\approx 1,802,862[/tex]
Therefore, the population of state after 5 years will be 1,802,862.
Luis deposited $500 into his bank account. He now has $4732. Write and solve an equation to find how much was in his account before the deposit.
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What is Fourteen less than five times a number is three times the number and what is Twelve more than seven times a number equals the number less six?
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5x - 14 = 3x
5x (- 5x) - 14 = 3x (- 5x)
- 14 = - 2x
- 14 (/ - 2) = - 2x (/ - 2)
7 = x
Your second equation:
7x + 12 = x - 6
7x + 12 (+ 6) = x - 6 (+ 6)
7x + 18 = x
7x (- 7x) + 18 = x (- 7x)
18 = - 6x
18 (/ - 6) = - 6x (/ - 6)
- 3 = x
I hope this helps :)
The solution to the first algebraic equation is x = 7, and the solution to the second equation is x = -3. Both problems involve setting up and solving algebraic equations to find the value of the unknown number.
To solve the problems stated, we need to set up algebraic equations and solve for the unknown number x.
For the first one:
Fourteen less than five times a number is three times the number: 5x - 14 = 3x.
After simplifying, we get 2x = 14.
Divide both sides by 2 to find x = 7.
For the second one:
Twelve more than seven times a number equals the number less six: 7x + 12 = x - 6.
Rearrange to find 6x = -18.
Divide both sides by 6 to find x = -3.
We have found that the unknown number in the first equation is 7 and in the second equation, it is -3.
Help?
The coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .
What is the perimeter of the polygon?
Enter your answer as a decimal, rounded to the nearest tenth of a unit, in the box.
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The fifth period Coordinate Algebra class received their quiz grades back from Mr. Smith today. The students were offered a chance for five quiz points if they constructed a box and whisker plot using the 20 quiz scores. As Mr. Smith's teaching assistant, you are asked to create a solution key for the box and whisker plot. Mr. Smith asked you to report back to him tomorrow morning with the Q1, Q3, and IQR.Use the set of student quiz scores to complete your calculations. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.Turn in the Q1, Q3, and IQR and all of the necessary steps that you took to make your calculations. Fifth Period Quiz Grades: 100, 96, 58, 95, 60, 95, 69, 88, 71, 95, 85, 93, 91, 78, 78, 85, 86, 98, 87, 100
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58,60,69,71,78,78,85,85,86,87,88,91,93,95,95,95,96,98,100,100
and since there is an even number of numbers (20), we need to find the 2 middle numbers and divide them by 2 to find the median (Q2)
Q2 (the median) = (87 + 88) / 2 = 175/2 = 87.5
now we take all the numbers below 87.5...and find the median (middle number) and that number will be Q1...there is 2 middle numbers...so we add them and divide by 2
Q1 = (78 + 78) / 2 = 156/2 = 78
now we take all the numbers after 87.5....and find the median...there will be 2 numbers, so we add them and divide by 2..that wil be Q3
Q3 = (95 + 95) / 2 = 190/2 = 95
So in summary :
Q1 = 78 <==
Q2 = 87.5
Q3 = 95 <==
The interquartile range (IQR) is found by subtracting Q1 from Q3.
IQR = 95 - 78 = 17 <==
"To create a box and whisker plot and calculate the Q1, Q3, and IQR for the given set of quiz grades, we must first organize the data in ascending order:
58, 60, 69, 71, 78, 78, 85, 85, 86, 87, 88, 91, 93, 95, 95, 95, 96, 98, 100, 100
Next, we find the median (Q2), which is the middle value in the ordered list. Since there are 20 scores, the median will be the average of the 10th and 11th scores:
Q2 = (87 + 88) / 2 = 175 / 2 = 87.5
Now, we need to find the first quartile (Q1), which is the median of the first half of the data (excluding the median if the number of data points is odd). Since we have an even number of scores, we take the first 10 scores and find their median:
Q1 = (71 + 78) / 2 = 149 / 2 = 74.5
For the third quartile (Q3), we take the median of the second half of the data (excluding the median if the number of data points is odd). Again, we have an even number of scores, so we take the second set of 10 scores and find their median:
Q3 = (95 + 96) / 2 = 191 / 2 = 95.5
Finally, the interquartile range (IQR) is calculated by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 95.5 - 74.5 = 21
Therefore, the Q1, Q3, and IQR for the fifth period Coordinate Algebra class quiz grades are:
Q1 = 74.5
Q3 = 95.5
IQR = 21
These values are essential for constructing the box and whisker plot and for understanding the spread of the middle 50% of the quiz scores."
The quotient of a number r and 7 is no more than 18. I cant find the equation part or the inequality
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Answer:
The inequality would be r/7 ≤ 18 and the solution would be r ≤ 126
Step-by-step explanation:
We start by writing the inequality
r/7 ≤ 18
We know to use division between r and 7 since it asks for the quotient and we know to use a ≤ sign since it says "is no more than"
To solve, simply multiply both sides by 7
r ≤ 126
The inequality will be r/7 ≤ 18
Since it's a quotient, we'll need to divide the expression and this will be:
= r/7 ≤ 18
Now the value of r will be gotten thus:
r/7 ≤ 18
Cross multiply.
r ≤ 18 × 7
r ≤ 126
Therefore, this mean that the value of r will be 126 or numbers lower than 126
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during the 2009-2010 basketball season, the number of points scored in each game by the boston celtics was approximately normally distributed with a mean of 99.2 points and a standard deviation of 10.5 pthe mean number of points scored by los angeles lakers was 101.7. in what proportion of their games did the celtics score more than the lakers' mean score?
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To solve this problem, we use the z statistic. The z formula is:
z = (x – u) / s
where x is lakers score = 101.7, u is Celtics score = 99.2, s is standard dev = 10.5
z = (101.7 – 99.2) / 10.5 = 0.24
using the normal distribution table at z = 0.24, the P value is:
P (z = 0.24) = 0.5984 = 59.84%
To find the proportion of games in which the Boston Celtics scored more than the Los Angeles Lakers' mean score, we need to standardize the Lakers' mean score, find the z-score, and then find the proportion from the standard normal distribution table.
Explanation:To find the proportion of games in which the Boston Celtics scored more than the Los Angeles Lakers' mean score, we need to find the area under the normal distribution curve to the right of the Lakers' mean. First, we need to standardize the Lakers' mean score by finding the z-score using the formula:
z = (x - μ) / σ
where x is the mean score, μ is the mean of the Celtics' scores, and σ is the standard deviation of the Celtics' scores. Substituting the given values, we have:
z = (101.7 - 99.2) / 10.5 = 0.2381
Next, we find the proportion of scores greater than the Lakers' mean in the standard normal distribution table or using a calculator. Looking up the z-score of 0.2381 in the table, we find the proportion to be approximately 0.4069, or 40.69%.
How can you tell if a system of equations has infinite solutions?
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For example,
x = x
x + 1 = x + 1
x - y = x - y
And so on...
And in special cases,
0x = 0
0x = 0(y + 1)
They have infinite solutions because there's no constant to determine the variable.
suppose m < ABC = 110. what is m < DBC
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The measurement of ∠y = ∠DBC will be 40°.
What is Angle ?
In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Given is ∠ABC = 110°
Let ∠ABD = x , ∠DBC = y, ∠CBE = z
∠ABD + ∠DBC + ∠CBE = 180°
x + y + z = 180°
and
∠ABD + ∠DBC = 110°
x + y = 110°
Then -
z = 180° - (x + y)
z = 180 - 110
z = 70°
Since DB and EC are equally inclined -
x = z = 70°
Then -
x + y = 110°
y = 110° - 70°
y = 40°
Therefore, the measurement of ∠y = ∠DBC will be 40°.
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Find both unit rates.
$27 for 4 hours of work
A.
$6.75 per hour and 0.15 hours per dollar
B.
$108 per hour and 6.75 hours per dollar
C.
$6.75 per hour and 108 hours per dollar
D.
$0.15 per hour and 6.75 hours per dollar
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$27 / 4 = 6.75 dollars per hour
4 / 24 = 0.148 = 0.15 hours per dollar
Answer is A
If angle a and angle b are complements and m angle a=36 degrees, what is angle b
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Complementary angles add up to 90 degrees. Angle b can be found by subtracting the measure of angle a from 90 degrees.
Explanation:The question states that angle a and angle b are complements, and that the measure of angle a is 36 degrees. In mathematics, complementary angles are two angles whose measures add up to 90 degrees. So, if angle a is 36 degrees, angle b can be found by subtracting 36 from 90, which gives us 54 degrees. Therefore, angle b is 54 degrees.
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Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different passwords are possible?
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0-9 = 10 numbers
1st digit can be 1 0f 10
2nd digit can be 1 of 9
3rd digit can be 1 of 8
4th digit can be 1 of 7
10 * 9 *8*7 = 5040 different combinations
The number of different possible passwords are possible
Given that each digit can be used once, then:
The first digit can be any of the 10 digitsThe second digit can be any of the remaining 9 digitsThe third digit can be any of the remaining 8 digitsThe fourth digit can be any of the remaining 7 digitsSo, the number of passwords is:
n = 10 * 9 * 8 * 7
Evaluate the products
n = 5040
Hence, there are 5040 different possible passwords
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Which is the approximate solution to the system y = 0.5x + 3.5 and y = −x + shown on the graph?
Answers
Answer:(-2.7,2.1)
Step-by-step explanation: