Answer:
Step-by-step explanation:
4x + 2x + 6 = 90
6x + 6 = 90
6x = 90 - 6
6x = 84
x = 84/6
x = 14
The following parallel dotplots
show the total family income of randomly chosen
individuals from Indiana (38 individuals) and New
Jersey (44 individuals). Compare the distributions
of total family incomes in these two samples.
Answer:
A sample of the data for the for the total income are as follows;
State, Indiana
Income, Number of families
0, 1
5, 1
10, 1
15, 1
20, 3
25. 4
From the data, we have;
The total income for the families from Indiana = $2,260
The total income for the families from New Jersey = $2,565
The average income for the families from Indiana ≈ $64.57
The average income for the families from New Jersey ≈ $73.29
The median income for the families from Indiana = 0
The median income for the families from New Jersey = $55
The first quartile for the families from Indiana = $0
The first quartile for the families from New Jersey = $0
The third quartile for the families from Indiana = $85
The third quartile for the families from New Jersey = $120
Step-by-step explanation:
Which point is located at (Negative 0.5, 0.75)?
point B
point G
point M
point Z
Its point z
Hope I helped
Which could be the result of compressing the graph of y = -8x – 12 and reflecting it across the horizontal line
containing the y-intercept of the function?
A)y = -2x - 12
B)y = -4x - 12
C)y = 2x - 12
D)y = 3x - 12
E)y = 16x -12
Answer:
C or D
Step-by-step explanation:
Factor ax-2bx + ay-2by
Do number 6 pleaseeee
Answer:
145%
Step-by-step explanation:
140+63 = 203
203/160 = 1.45
1.45x100 = 145%
How tall is the kite
Another one y'all ready know it's algebra!
Answer:
-3x²-12x is your answer
Answer:
Step-by-step explanation:
There are four exams in a marking perlod. A student received grades of 84, 87, and 79 on the first three exams. What grade must the student earn on the last exam to get an average of an 80 for the marking period?
70 grade must the student earn on the last exam to get an average of an 80 for the marking period.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
A student received grades of 84, 87, and 79 on the first three exams.
let, x grade must the student earn on the last exam to get an average of an 80 for the marking period.
i.e. (84+87+79+x)/4=80
solving, we get,
x=70
Hence, 70 grade must the student earn on the last exam to get an average of an 80 for the marking period.
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A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm,
after d days:
fid) = 11(1.01)º
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the
growth function? (4 points)
Part B: What does the y-intercept of the graph of the function fid) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)
Part A: The reasonable domain to plot the growth function is 6.97.
Part B: The y-intercept of the graph of the function f(d) reflects f(d) = 11
Part C: The average rate of change of the function f(d) from d = 2 to d = 7 is 0.114.
What is meant by rate of change?When the ratio of the output to the input stays constant at every given point along the function, the rate of change is said to be constant. A linear function's change will occur at a steady rate. We say there is a constant rate of change when a quantity varies uniformly in relation to the change of another quantity.
Part A:
11.79 =11\((1.01)^{d}\)
\((1.01)^{d}\)=11.79/11
\((1.01)^{d}\)=1.071818
d = log 1.071818 / log 1.01
d = 6.97
Part B:
y-intercept is obtained when domain = 0
d = 0 ⇒ f(0) = \((1.01)^{0}\) = 11 x 1 = 11
f(d) = 11
Part C:
Average rate of change,
Δf/Δd = (f(7) - f(2))/(7-2)
=(11\((1.01)^{7}\)-11\((1.01)^{2}\))/5
=0.57/5
=0.114
The y-intercept of the graph of the function f(d) reflects f(d) = 11, and the reasonable domain to plot the growth function is 6.97. The average rate of change of the function f(d) from d = 2 to d = 7 is 0.114.
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What’s the value of z ?
Answer:
z = 7
Step-by-step explanation:
We know that, sum of the exterior angles of a quadrilateral is added up to 360°.
Accordingly,
115 + 7z + 12z + 16z = 360
Combine like terms.
115 + 35z = 360
Subtract 115 from both sides.
35z = 360 - 115
35z = 245
Divide both sides by 35.
z = 7
The students analyze 400 grams of rust how much iron and how much oxygen should they find make proportions for these part to whole
We can see here that the proportions of iron and oxygen will be:
Iron: 37.23 gOxygen: 16.00 gWhat is rust?Rust is an iron oxide, specifically Fe2O3.
To find the proportion of iron and oxygen in rust, you can use the molar ratios from the chemical formula of rust (Fe2O3).
Iron: 2 moles of iron per 3 moles of rustOxygen: 3 moles of oxygen per 3 moles of rustTo convert the molar ratios to mass ratios, you would need to know the molar masses of iron and oxygen. The molar mass of iron is 55.85 g/mol, and the molar mass of oxygen is 16.00 g/mol.
Iron: (2 moles x 55.85 g/mol) / 3 moles = 37.23 gOxygen: (3 moles x 16.00 g/mol) / 3 moles = 16.00 gSo, in 400 grams of rust, you should find approximately 37.23 grams of iron and approximately 16.00 grams of oxygen.
It's worth noting that this calculation is based on the assumption that the rust sample is pure Fe2O3. If it's not pure, the proportion of iron and oxygen can be different.
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Reflection across the x-axis for (-3,-7)
Answer:
(-3, 7)
Step-by-step explanation:
The formula for reflecting a point across the x-axis is (x, y) → (x, -y).
Substitute: (-3, -7) → (-3, 7)
I hope this helped! :)
PLEASE HELP!!
What can you conclude about 23 and 25?
A. 23 and 25 are congruent. They are corresponding angles.
B. 23 and 25 are congruent. They are vertical angles.
C. 23 and 25 are congruent. They are alternate interior angles.
D. 23 and 25 are supplementary. They are same-side interior angles.
i have 5 questions left on this assignment, can anyone answer them? i attached a lot of points.
Answer: U=1.8 V=0.25
in part 3
18 is yes
21 is no
-24 is no
-15 is no
Part 4
W=-1/2
Part 5
1 1/3
it is 1 whole 1 by 3
Subtract: 22²+8242²+122-16
O22²+122-12
4(x+4)(x-1)
O -x²+12x-12
4x(x+4)(x-1)
-2²+6x-6
о 22(x+4)(x-1)
H
-2x²+12-12
2(x+4)(x-1)
=
6-2(x-1)
6
2x(x+4)= 4(x+4)(x-1) = 2z(x+4)-2(x-1)
x.x
4(x+4)(x-1)-
Answer:
the correct answer is the second one
Step-by-step explanation:
I will add a photo of my solution, because there's a lot to type here
Select all the statements that best describe the table below.
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The Correct statements are :
The rate of change is not constantThe relationship is non linear Independent variable is Age Dependent variable is selling price It is a negative relationshipA culture of bacteria has an initial population of 160 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?
The required population of the bacteria in the culture after 9 hours, to the nearest whole number, is 394 bacteria.
What is the half-life of the element?The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.
Here,
Given an expression that represents the growth of the bacteria,
\(P_t = P_0 (2)^{t/d}\)
From the quesiton put the respective values to determine the population of bacteria in the culture after 9 hours, to the nearest whole number,
\(P_9 = 160 \times 2^{9/8}\\P_9 = 393.9\)
P₉ ≈ 394
Thus, the required population of the bacteria in the culture after 9 hours, to the nearest whole number is 394 bacteria.
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Based on the scatterplot, what is the best prediction of the average amount of
money spent on groceries for a household that has 8 people?
Weekly Grocery
Expenses
3201
280
240
200
Average Amount Spent
on Groceries (dollars)
160
120
80
40
0
2 4 6 8
Number of People
in Household
A $225
B $190
C $250
D $300
Greetings from Brasil...
Observing the arrangement of the points, we notice that a line is the closest to this grouping. Tracing the line between the points (blue line) - refer to attached
We note that zero people at home will not spend any amount, so the first point will be (0; 0).
After the straight line and the alternatives of the question, we can say that for 8 people there is a cost of
$250(each vertical division (Y-axis) is equivalent to $20)
Brian bought a new air conditioning unit on his credit card. the unit had a base price of $435. brian made no other purchases on his credit card. brian’s credit card has an interest rate of 9.4%, compounded monthly, and brian paid off the balance by making monthly payments for a year and a half. if the sales tax in brian’s area is 8.51%, how much did brian pay in total? (round all dollar values to the nearest cent.) a. $472.02 b. $468.00 c. $496.32 d. $507.96 please select the best answer from the choices provided a b c d
If the sales tax in Brian’s area is 8.51%, then Brian pay in total is option (d) $507.96
Brian's credit card has an interest rate of 9.4% compounded monthly, which means that the interest is calculated based on the balance of the credit card at the end of each month. Therefore, the interest will accumulate over time, and Brian will have to pay more than the base price of $435.
Additionally, the sales tax in Brian's area is 8.51%, which means that he needs to pay this percentage of the total cost of his purchase as well.
To calculate how much Brian paid in total, we need to take into account the base price, the interest rate, and the sales tax.
First, let's calculate the total cost of the air conditioning unit including sales tax. The sales tax is 8.51% of the base price, which is:
8.51% x $435 = $37.02
So, the total cost of the air conditioning unit including sales tax is:
$435 + $37.02 = $462.04
Now, let's calculate how much Brian paid in interest. Since the interest rate is compounded monthly, we need to divide the annual rate by 12 to get the monthly rate. Therefore, the monthly interest rate is:
9.4% / 12 = 0.78333% (rounded to five decimal places)
Over a year and a half (or 18 months), the interest accumulated on Brian's credit card balance can be calculated using the following formula:
\(A = P(1 + r/n)^{nt} - P\)
where A is the total amount paid, P is the principal amount (which is the same as the base price of the air conditioning unit), r is the interest rate in decimal form, n is the number of times the interest is compounded per year (which is 12 in this case since the interest is compounded monthly), and t is the time in years (which is 1.5 in this case since Brian made monthly payments for a year and a half).
Substituting the values we have:
A = $435\((1 + 0.0078333)^{12\times1.5}\) - $435 = $45.92
Therefore, the total amount of interest paid by Brian is $45.92.
Finally, to calculate the total amount that Brian paid, we need to add the total cost of the air conditioning unit including sales tax and the total amount of interest paid:
$462.04 + $45.92 = $507.96
So, the correct answer is (d) $507.96, rounded to the nearest cent.
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the admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. on a certain day, 351 people entered the park, and the admission fees collected totaled 1014 dollars. how many children and how many adults were admitted?
There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.
Given that,
The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.
We have to find how many people and kids were allowed inside.
We know that,
We get equations as,
1.5x+4y=351 ----->equation(1)
The other equation is
x+y=1014 ----->equation(2)
Take the equation(2)
x+y=1014
y=1014-x
Substitute y=1014-x in equation(1)
1.5x+4y=351
1.5x+4(1014-x)=351
1.5x+2056-4x=351
1.5x-4x=351-2056
-2.5x=-1705
2.5x=1705
x=1705/2.5
x=682
Substitute x=682 in equation(2)
y=1014-x
y=1014-682
y=332
Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.
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if a short-day (long-night) plant flowers, you know that it received if a short-day (long-night) plant flowers, you know that it received more consecutive hours of darkness than its critical period. fewer consecutive hours of darkness than its critical period. fewer consecutive hours of light than its critical period. more consecutive hours of light than its critical period.
If a short-day (long-night) plant flowers, you know that it received more consecutive hours of darkness than its critical period.
This is because short-day plants (also known as long-night plants) require a certain period of uninterrupted darkness (usually around 12-16 hours) to trigger flowering. If the plant receives more hours of darkness than its critical period, it will flower.
If it receives fewer hours of darkness than its critical period, it will not flower. Similarly, long-day (short-night) plants require a certain period of uninterrupted light to trigger flowering. If they receive more hours of light than their critical period, they will flower, but if they receive fewer hours of light than their critical period, they will not flower.
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ing the Equation of a Line from a Table
What is the equation of the line with points represented in What can you conclude about the line represented in
the table?
the table? Select all that apply.
x
-8
4
8
y
6
-3
-6
Using either slope-intercept or point-slope forms will
result in different equations.
O Using either slope-intercept or point-slope forms will
result in the same equation.
3
The slope is
The slope is
4
3
The y-intercept is 2.
The y-intercept is 0.
Done
The equation is: y = -3/4x (in slope-intercept form) or y + 3 = -3/4(x - 4) (in point-slope form).
The correct statements are:
Using either slope-intercept or point-slope forms will result in different equations.The slope is -3/4.The y-intercept is 0.How to Write the Equation of a Line?The slope-intercept form is expressed as y = mx + b [m is the slope, b is the y-intercept].
The point-slope form is expressed as y - b = m(x - a) [(a, b) is a point on the line, while m is the slope of the line].
Given the table:
x | y
-8 6
4 -3
8 -6
Use two points, (-8, 6) and (4, -3), to find the slope:
Slope (m) = change in y / change in x = (-3 - 6) / (4 - (-8))
m = -9/12
m = -3/4
To find the y-intercept, substitute (x, y) = (4, -3) and m = -3/4 into y = mx + b:
-3 = -3/4(4) + b
-3 = -3 + b
-3 + 3 = b
b = 0
To write the equation in slope-intercept form, substitute m = -3/4 and b = 0 into y = mx + b:
y = -3/4x - 0
y = -3/4x
To write the equation in point-slope form, substitute m = -3/4 and (a, b) = (4, -3) into y - b = m(x - a):
y + 3 = -3/4(x - 4).
Therefore, we can conclude that:
Using either slope-intercept or point-slope forms will result in different equations.The slope is -3/4.The y-intercept is 0.Learn more about the equation of a line on:
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please helpp!!!!!!!!!!
Answer:
5. Obtuse
6. Right
7. Acute
Step-by-step explanation:
5. 5,12,15
The square of the longest side is 15^2 = 225. The sum of the squares of the two shorter sides is 5^2 + 12^2 = 169. Since 169 < 225, the triangle is obtuse.
6. 6,8,10
The square of the longest side is 10^2 = 100. The sum of the squares of the two shorter sides is 6^2 + 8^2 = 100. Since 100 = 100, the triangle is right.
7. 12,10,13
The square of the longest side is 13^2 = 169. The sum of the squares of the two shorter sides is 12^2 + 10^2 = 244. Since 244 > 169, the triangle is acute.
Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (-5, 7) when represented graphically. What is the sine value of this function?
The sine value of the function will be 7 times square root of 74 over 74.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Firstly, we need to get for the value for r. This will be
r² = (−5)² + 7²
r² = 74
r = square root of 74
After, formulate the equation of a sine. This will be:
sin x = 7/r
sin x = 7/✓74
sin x = (7×✓74)/74
Therefore, the sine value of the function will be sin x = (7×✓74)/74.
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"Your question is incomplete, probably the complete question/missing part is:"
Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) when represented graphically. What is the sine value of this function?
Negative 7 square root 74 divided by 74 7 times square root of 74 over 74 square root 74 negative 5 times square root of 74 over 74
the 1984 U.S. presidential election, approximately 60% voted Republican and 40% voted Democratic. Calculate the probability that a random sample would correctly forecast the election winner - that is, that a majority of the sample would be Republicans, if the sample size were:
The probability of correctly forecasting the winner is 0.6 for a random draw from the population. However, as the sample size increases, the variability of the sample mean decreases, resulting in a smaller probability of obtaining a sample proportion larger than 0.5.
The 1984 U.S. presidential election was voted by 60% Republicans and 40% Democrats. We need to calculate the probability that a random sample would correctly forecast the election winner if the sample size were different sizes:
We need to calculate the probability of choosing a Republican candidate from the population P(R).
We have: P(R) = 60/100= 0.6
Then, the probability of selecting a Democrat candidate from the population P(D) is:
P(D) = 40/100= 0.4
For a random sample of size n, the probability of getting the correct election winner would be the probability that the sample proportion, p, of Republicans in the sample is larger than the sample proportion, 1 - p, of Democrats in the sample. If we take a sample of size n from a population of size N with replacement, the probability of selecting a Republican candidate on the first draw is P(R).
For a sample of size n, the probability of obtaining the correct winner from the sample data can be calculated as follows:
P(p > 0.5) = P(z > (0.5 - 0.6) / (sqrt(0.6(1-0.6) / n)))
= P(z > -sqrt(n)/3)
Where z is the standard normal distribution.
A majority of Republicans will be sampled from the population if p > 0.5.
Therefore, the sample proportion should be greater than 0.5 for a correct prediction.The table below shows the probability of a random sample correctly forecasting the election winner:
Sample size
With a sample size of 10, there is a 96% chance of correctly forecasting the winner.
The probability of correctly forecasting the winner decreases as the sample size increases. When the sample size is 50, there is a 50% chance of correctly forecasting the winner.
The probability of correctly forecasting the winner is 0.6 for a random draw from the population. However, as the sample size increases, the variability of the sample mean decreases, resulting in a smaller probability of obtaining a sample proportion larger than 0.5.
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What is angle 180 degree angle
Answer:
straight angle
Step-by-step explanation:
Angles that are 180 degrees (θ = 180°) are known as straight angles.
the result of 1/12×0,30 is
please answer
Answer:
0.025
Step-by-step explanation:
PLEASE HELP ME!!!!
Given the frequency table, what percentage of the students that like country are also in grades 9–10? Round to the nearest whole percent.
Band Preference for School Dance
Rap Rock Country Row totals
Grades 9–10 40 30 55 125
Grades 11–12 60 25 35 120
Column totals 100 55 90 245
A. 22%
B. 44%
C. 55%
D. 61%
The percentage of students that like country are in grades 9-10 will be 61%. The Option D.
What percentage of students that like country are in grades 9-10?In order to get percentage of students that like country and are also in grades 9-10, we must look at the intersection of the "Country" row and the "Grades 9-10" column which has a frequency of 55.
After that, we will divide the frequency by the total number of students that like country which is (90).
The percentage of students that like country are in grades 9-10 will be:
= (55/90) x 100
= 0.61111111111 * 100
= 61%
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Solve the following linear equation for
x
x.
5
x
−
2
+
x
=
9
+
3
x
+
10
5x−2+x=9+3x+10
L'unité est le cm
ABC est un triangle rectangle en A.
6) et (6)
Cifs 3 cm et 5 cm.
3
С
AL
5
1. Tracer une telle figure.
2. Compléter la figure en plaçant les points B'
et C' tels que :
• B' est le symétrique de B par rapport à A;
. C'est le symétrique de C par rapport à A.
3. a) Tracer BCB'C', puis prouver que
c'est un parallelogramme.
b) Prouver que le parallelogramme BCB'C'
est un losange.