Answer:
1. theres way more younger people compared to older
2. theres a total of approximately 32 people ages 10-14
3. theres a total of approximately 31 people ages 14-19
Please answer this question
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
Elena has a washing machine with a 20 gallon capacity. She always uses a 20 gram measure of soap for every 10 gallons of water. One day she tells her son Francisco to fill the washing machine halfway with water, to add the soap and dissolve it well, but Francisco is wrong and adds 60 grams of soap to the water. When Elena realizes the mistake, she thinks of adding pure water to the tank at a rate of 2 gallons per minute and simultaneously opening the drain so that the volume of water in the washing machine remains constant. Assuming the liquid remains uniformly mixed, for how long should Elena add water to correct the error?
Answer:
For \(\[20\]\) minutes Elena add water to correct the error.
Step-by-step explanation:
The capacity of the washing machine is \(\[20\]\) gallons.
She uses \(\[20\]\) gram soap for \(\[10\]\) gallon of water
Her son by mistake dissolved \(\[60\]\) grams of soap to \(\[10\]\) gallons of water.
\(\[60\]-\)gram soap is right for \(\[30\]\) gallons of water, thus \(\[20\]\) gallon of water must be added more.
She pore water \(\[2\]\) gallons per minute thus, \(\[20\]\) gallons of water will take\(\[10\]\)minutes.
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Can anyone teach mee.....................
Answer:
(i) The name of the part of the circle, OQ is a radius
(ii) The radius of the sector QOR is 21 cm
Step-by-step explanation:
The given figure is a sector of the circle O
∵ Any sector of a circle formed from 2 radii and an arc
∴ OQ is a radius
(i) The name of the part of the circle, OQ is a radius
The rule of the length of an arc of a circle is L = \(\frac{\alpha }{360}\) × 2 π r, where
α is the angle of the sectorr is the radius of the circle∵ The length of the arc QR is 22 cm
∴ L = 22
∵ The measure of the angle of the arc is 60°
∴ α = 60°
∵ π = \(\frac{22}{7}\)
→ Substitute them in the rule above
∵ 22 = \(\frac{60}{360}\) × 2 × \(\frac{22}{7}\) × r
∴ 22 = \(\frac{22}{21}\) r
→ Divide both sides by \(\frac{22}{21}\)
∴ 21 = r
(ii) The radius of the sector QOR is 21 cm
Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
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Container A has 300 liters of water, and is being filled at a rate of 6 liters per minute. Container B has 900 liters of water, and is being drained at 2 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
It will take 150 minutes for the two containers to have the same amount of water.
To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:
m = |A - B| / (a - b)
where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.
In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:
m = |300 - 900| / (6 - 2)
m = |-600| / 4
m = 600 / 4
m = 150 minutes
Therefore, it will take 150 minutes for the two containers to have the same amount of water.
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Find BP with endpoints
B(1,6) and P(-3,10).
The answer of the sum is BP = 4√2
To solve this particular sum we need to know about distance formula. IT is basically nothing but gives the length of the line segment . There are various types of distance formula:
Distance between two points in a 2D planeDistance between two points in a 3D planeDistance from a point to to a line in 2D Distance from a point to to a line in 3D Distance between 2 parallel planesThe formula we are going to use in the sum is :
√{(x₂-x₁)² + (y₂-y₁)² } [ the root is over full expression ]
Here in the given sum
(x₁,y₁)=(1,6)
(x₂,y₂)=(-3,10)
If we put the values of x₁ , x₂, y₁, y₂ in the above formula we get :
BP = √{(-3-1)² + (10-6)²}
√{(-4)²+4²}
√(16+16 )
√32
4√2
So the value of BP is 4√2
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PLease help me and answer the questions in the picture below you will make my day!
Answer:
b the solution is (3,5)
Step-by-step explanation:
look at the points where the lines intersect
4. United Bank offers a 15-year mortgage at an APR of 4.2%. Capitol Bank offers
a 25-year mortgage at an APR of 4.5%. Marcy wants to borrow $120,000.
a. What would the monthly payment be from United Bank?
b. What would the total interest be from United Bank? Round to the nearest
ten dollars.
c. What would the monthly payment be from Capitol Bank?
d. What would the total interest be from Capitol-Bank? Round to the nearest
ten dollars.
e. Which bank has the lower total interest, and by how much?
f. What is the difference in the monthly payments?
uw.nadin
g. How many years of payments do you avoid if you decide to take out the
shorter mortgage?
Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.
What is total interest?
Total interest is determined by the addition of all the interest payments.
what would be the monthly payment and total interest from each bank?
United bank offers mortgage at an APR of 4.2%
APR means annual percentage rate.
mortgage is offered for the period of 15 years.
initial principal amount of Marcy = $120000
we need to determine the monthly payment from United bank.
at first, we will determine the rate of interest per month.
monthly interest rate = (4.2) / (100 × 12) = 0.0035
1 year = 12 months
15 years = 15×12 = 180 months
monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal
monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000
= $1207.70
from united bank monthly payment = $1207.70
Now we calculate the monthly payment from Capitol bank.
APR for capitol bank = 4.5%
number of years for which mortgage is issued = 25 years
number of months = 12×25 = 300.
monthly interest rate = (4.5) / (100×12) = 0.00375
monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000
= 1834.62
monthly payment from Capitol bank = $1834.62
total interest from Capitol bank = principal money × yearly interest rate × time period.
Total interest = 120000 × 4.5/100× 25
= $135000 for the Capitol bank
Total interest from United bank = principal amount × yearly interest × time period
= 120000× 4.2/100 × 15
total interest from united bank = $75600
United bank has lower total interest.
difference in monthly payment = 1834.62 - 1207.70
= 626.92 dollars
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A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?
Answer:
4 minutes: 17.4 °C9 minutes: 23.7 °CStep-by-step explanation:
You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.
Newton's law of coolingNewton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...
T = 36 -26·(22/26)^(t/2)
At times of t=4 and t=9, the temperature readings will be ...
4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C__
Additional comment
The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.
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A shirt originally cost $25 but is now discounted to $15. Find the percent of decrease
Answer:
25-15=10 (change)
divide change by original price
10/25 = .4
0.4*100= 40%
9. Joseph is 2 meters 30 centimeters tall. How tall is Joseph in millimeters?
O23,000 millimeters
O2,300 millimeters
O230 millimeters
O23 millimeters
Answer:
Step-by-step explanation:
372 Millimeters
Answer:
2,300 millimeters
Step-by-step explanation:
when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.
Simplify express your answer as a single term without a denominator cd3•c-5d-2
The simplified expression is d/ c⁴.
To simplify the expression cd³ c⁻⁵ x d⁻², we can combine the variables with the same base (c and d) by adding their exponents:
Using the property of exponents as
Product Rule:When multiplying two exponential expressions with the same base, you can add the exponents. This can be expressed as follows:
aᵇ x aⁿ= aᵇ⁺ⁿ
Quotient Rule:When dividing two exponential expressions with the same base, you can subtract the exponents. This can be expressed as follows:
aᵇ / aⁿ= aᵇ⁻ⁿ
So, cd³ c⁻⁵ x d⁻²
= c¹⁻⁵ x d³⁻²
= c⁻⁴ x d¹
= dc⁻⁴
Again from the property of exponents
a⁻ᵇ = 1/aᵇ
So, dc⁻⁴
= d/ c⁴
Therefore, the simplified expression is d/ c⁴.
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3n-(2+n)
bro i need help
Answer:
\(2n - 2\)
Step-by-step explanation:
\(3n - (2 + n)\)
\(3n - 2 - n\)
\(2n - 2\)
Answer:
To simplify 3n - (2 + n), we need to distribute the negative sign to the terms inside the parentheses, then combine like terms:
3n - (2 + n) = 3n - 2 - n
= 2n - 2
Therefore, the simplified expression is 2n - 2.
A polygon with an area of 10 square inches is dilated by a scale factor of 4, what is the new area?
The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.
Milena walked 25.086 kilometers on Monday, 19.8 kilometers on Tuesday, and 7 kilometers on Wednesday. What was the total distance that Milena walked
A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x= 14.8 Books & S= 16.6 books. construct a 95% confidence interval for the mean number of books read. Interpret the interval.
construct a 95% confidence interval for the mean number of books people read and interpret the results. Select the correct choice below and fill in the answer boxes to complete your choice.
a) if repeater samples are taken, 95% of them will have a sample mean between _______and __________.
b) there is a 95% chance that the true me number of books read is between ________ and ________.c) there is 95% confidence that the population mean number of books read is between __________ and _____.
Answer:
c) there is 95% confidence that the population mean number of books read is between 13.77 and 15.83.
Step-by-step explanation:
We have to calculate a 95% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=14.8.
The sample size is N=1003.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{16.6}{\sqrt{1003}}=\dfrac{16.6}{31.67}=0.524\)
The degrees of freedom for this sample size are:
\(df=n-1=1003-1=1002\)
The t-value for a 95% confidence interval and 1002 degrees of freedom is t=1.96.
The margin of error (MOE) can be calculated as:
\(MOE=t\cdot s_M=1.96 \cdot 0.524=1.03\)
Then, the lower and upper bounds of the confidence interval are:
\(LL=M-t \cdot s_M = 14.8-1.03=13.77\\\\UL=M+t \cdot s_M = 14.8+1.03=15.83\)
The 95% confidence interval for the mean number of books read is (13.77, 15.83).
This indicates that there is 95% confidence that the true mean is within 13.77 and 15.83. Also, that if we take multiples samples, it is expected that 95% of the sample means will fall within this interval.
2x³,6x², and 12x
GCF
A higher credit score reduces your fixed costs because you ____.
A. will pay lower interest rates
B. can have more credit cards
C. are able to carry more debt
D. can reduce the amount you need to borrow
A higher credit score reduces your fixed costs because you will pay lower interest rates. That is option A.
What is a higher credit score?A higher credit score is one of the factors that are being considered by banks or lenders before one is being viewed as being legible to borrow money.
This is soo because a higher credit score will reduce the lending interest rates of the individual because it shows such will pay back the borrowed money as soon as possible.
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Helpppopoooooopppppppp
A. The solution set of the system is {7, 3}
About elimination methodThe elimination method is a method used to solve or find a set of solutions to a system of linear equations of two variables by eliminating one of the variables. If the variables are x and y, to determine the x variable we must first eliminate the y variable, or vice versa, if we want to find the y variable, we must first eliminate the x variable.
To eliminate a variable, it must have the same coefficient. So if the coefficients of the variables are not the same then first equate the coefficients by multiplying or dividing them. Then only can determine other variables that will be determined. So in the elimination method you need to eliminate the variable twice.
To eliminate y in order to find the value of x.
9x-y=60 (i) 9x-y=60
x+y=10 (ii) | times (-1)| -x-y= -10
___________ __________ _
10x=70
x=7
Substitute the value x=7 into equation (ii)
x+y=10
7+y=10
y=3
So the solution set is {7, 3}
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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 2.13 and 2.99
Answer:
Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this question, we have that:
Mean = 2.56
Standard deviation = 0.43
What percentage of the students have grade point averages that are between 2.13 and 2.99?
2.56 - 0.43 = 2.13
2.56 + 0.43 = 2.99
Within one standard deviation of the mean, so, by the Empirical Rule:
Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.
I need help on this practice question
Answer:
6ft
Step-by-step explanation:
first you need to properly provide your work
Help me please! I’m really struggling on how to do this
Answer:
12 feet
Step-by-step explanation:
1 inch= 8 feet
1/2 inch= 4 feet
1/4 inch= 2 feet
(2x2)/2= 2 (one triangle)
2x4=8 (rectangle)
2+2=4 +8=12
^2 was added 2 times cause there are 2 triangles
(you did not need a 3rd measurement cause the triangle measurements were equal)
find the surface area of the prism
Answer: 132 cm cubed
Step-by-step explanation:
0.5*3*4*2=12
10*5=50
4*10=40
3*10=30
30+40+50+12=132 cm cubed
A large university chemistry course has a required textbook available for $ 154 and a recommended supplement for $ 36. The university bookstore finds, over time, that 15% of students enrolled in the course purchase only the textbook, while 75% buy both the textbook and the supplement. No students buy only the supplement. a) What percent of students buy neither the textbook nor the supplement from the bookstore
Answer:
10% of students buy neither the textbook nor the supplement from the bookstore
Step-by-step explanation:
We have that:
15% buy only the textbook.
75% buy both the textbook and the supplement.
None buy only the supplement.
a) What percent of students buy neither the textbook nor the supplement from the bookstore
15% + 75% = 90% buy at least one of them. So
100% - 90% = 10% buy neither.
A contractor has estimated that the minimum number of days to remodel a bathroom for a client is 10 days. He also estimates that 80% of similar jobs are completed within 18 days. If the remodeling time is uniformly distributed, what should be the parameters of the uniform distribution
The parameters for the uniform distribution should be of a = 10 and b = 20.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:
\(P(X < x) = \frac{x - a}{b - a}\)
In this problem, a contractor has estimated that the minimum number of days to remodel a bathroom for a client is 10 days, hence the lower bound is of a = 10.
He also estimates that 80% of similar jobs are completed within 18 days, hene P(X < 18) = 0.8, thus the upper bound is given by:
\(P(X < x) = \frac{x - a}{b - a}\)
\(0.8 = \frac{18 - 10}{b - 10}\)
\(0.8b - 8 = 8\)
\(0.8b = 16\)
\(b = \frac{16}{0.8}\)
\(b = 20\)
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Solve the equation 5(4x-1.5x) + 12 = 4x- 124 for X
\( \sf \: 5(4x -1.5x) + 12 = 4x - 124 \\ \sf \: 5 \times 2.5x + 12 = 4x - 124 \\ \sf \: 12.5x + 12 = 4x - 124 \\ \sf \: 12.5x - 4x = - 124 - 12 \\ \sf \: 8.5x = - 136 \\ \sf \: x = - 16\)
Which model represents the factors of 4x2 - 9?
Answer:
Step-by-step explanation:
What are the choices?
4x^2-9
Both terms are perfect squares.
(2x-3)(x+3)
Answer:
B=#2
Step-by-step explanation:
Jenelle draws one card from a standard deck of 52 cards.
Determine the probability of drawing either a jack or a ten? Write your answer as a reduced fraction=
Determine the probability of drawing either a jack or a diamond? Write your answer as a reduced fraction=
13
+
4
−
1
52
=
16
52
=
4
13
≈
0.3077
Explanation:
In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.
The probability of drawing a jack or ten from a deck of cards is 2/13.
The probability of drawing a jack or a diamond is 15/52.
How to calculate probability?
Fact: A deck of cards has 52 cards and in it:
13 cards of diamond13 cards of heart13 cards of clubs13 cards of spadeAnother classification:
4 cards each of A,2,3,4,5,6,7,8,9,10,king,queen and jack And those 4 cards consist of a diamond, heart, club and spade card.Now coming to the question:
We have 4 jack card and 4 10 cards, therefore total cards =8Probability: Desired outcomes/total outcome
=8/52
=2/13
We have 13 diamond cards( in which 2 jack cards are already included) and another 2 jack cards.therefore, total cards desired=13+2=15
Probability:15/52
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Guys please help me I'll give more points to whoever is corretc
What is the area of this figure?
Please look at the photo. Thank you!
The value of f(5) is positive
At f(x) = 0, the value of x is 1
For the interval f(x) ≤ 0, the values of x are [-2, 1]
How to determine the values of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have
f(5) = 1
This means that f(5) is positive
Also, we have
When f(x) = 0, the value of x is 1
For the interval f(x) ≤ 0, we have the values of x to be
-2 ≤ x ≤ 1
When represented as an interval, we have
[-2, 1]
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