Answer:
2nd option
l= 55/60 ( 12 pi)
5. The distance between two given points (5,2) and (x,5) is 5 units. Find the possible values of x. *
============================================================
Explanation:
We'll use the distance formula here. Rather than compute the distance d based on two points given, we'll go in reverse to use the given distance d to find what the coordinate must be to satisfy the conditions.
We're given that d = 5
The first point is \((x_1,y_1) = (5,2)\) and the second point has coordinates of \((x_2,y_2) = (x,5)\) where x is some real number.
We'll plug all this into the distance formula and solve for x.
\(d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\5 = \sqrt{(5-x)^2+(2-5)^2}\\\\5 = \sqrt{(5-x)^2+(-3)^2}\\\\5 = \sqrt{(5-x)^2+9}\\\\\sqrt{(5-x)^2+9} = 5\\\\(5-x)^2+9 = 5^2\\\\(5-x)^2+9 = 25\\\\(5-x)^2 = 25-9\\\\(5-x)^2 = 16\\\\5-x = \pm\sqrt{16}\\\\5-x = 4 \ \text{ or } \ 5-x = -4\\\\-x = 4-5 \ \text{ or } \ -x = -4-5\\\\-x = -1 \ \text{ or } \ -x = -9\\\\x = 1 \ \text{ or } \ x = 9\\\\\)
This means that if we had these three points
A = (5, 2)B = (1, 5)C = (9, 5)Then segments AB and AC are each 5 units long.
A binomial experiment with probability of success p=0.63 and n=11 trials is conducted. What is the probability that the experiment results in 10 or more successes? Do not round your intermediate computations, and round your answer to three decimal places (if necessary consulta list of formes.)
To find the probability of getting 10 or more successes in a binomial experiment with p = 0.63 and n = 11 trials, we can use the cumulative probability function.
P(X ≥ 10) = 1 - P(X < 10)
Using a binomial probability formula, we can calculate the probability of getting exactly k successes:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where C(n, k) represents the binomial coefficient.
Let's calculate the probability for each value from 0 to 9 and subtract it from 1 to get the probability of 10 or more successes:
P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)
P(X < 10) = Σ[C(11, k) * p^k * (1 - p)^(11 - k)] for k = 0 to 9
Using this formula, we can calculate the probability:
P(X < 10) ≈ 0.121
Therefore, the probability of getting 10 or more successes in the binomial experiment is:
P(X ≥ 10) ≈ 1 - P(X < 10) ≈ 1 - 0.121 ≈ 0.879
Rounding to three decimal places, the probability is approximately 0.879.
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If Triangle CFE is congruent to triangle PTR, Complete each of the following statements.
(37 points)
"Triangle CFE is congruent to triangle PTR" is true.
If Triangle CFE is congruent to triangle PTR, we can make the following statements:
The corresponding sides of the triangles are congruent:
This means that CF = PT, FE = TR, and CE = PR.
The corresponding angles of the triangles are congruent:
This means that angle CFE is congruent to angle PTR, angle FCE is congruent to angle PRT, and angle ECF is congruent to angle TPR.
The triangles are equal in area: Since the triangles are congruent, they have the same shape and size. Therefore, they will have the same area.
The triangles can be superimposed on each other: This means that we can place triangle CFE on top of triangle PTR in such a way that their corresponding sides and angles overlap.
If we know the measurements of the sides and angles of one triangle, we can find the measurements of the sides and angles of the other triangle: Since the triangles are congruent, we know that their corresponding sides and angles are equal.
Therefore, if we know the measurements of the sides and angles of one triangle, we can find the measurements of the sides and angles of the other triangle by using the congruence criteria.
In conclusion, if Triangle CFE is congruent to triangle PTR, we can make several statements about their corresponding sides and angles, their areas, and their ability to be superimposed on each other.
We can also use the congruence criteria to find the measurements of the sides and angles of one triangle if we know the measurements of the sides and angles of the other triangle.
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here are 12 crayons in a box. How many boxes will be needed for 8 children if each child gets 7 crayons?
Answer:
5 boxes
Step-by-step explanation:
multiply the crayons (7) by the number of children (8) to see how many crayons are need (56). Then dived that by how may crayons come in a box(12). that gives you 4.6 so round that up and your are left with the answer 5 . 5 boxes
BRAINLIEST!! The product of two numbers is 144, but their sum is –24. What are these two numbers?
A. -22 and -2
B. -12 and -12
C. -20 and -4
D. -10 and -14
Answer:
B .-12 and -12
Step-by-step explanation:
it is because when we multiply two -digit the answer is in +
so like in the same -12 * -12=144
And when we add the digit we get -24
Hence, it is proved
Quantitative Problem 1t You deposit \( \$ 2,300 \) into an account that pays \( 6 \% \) per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How
You will be able to withdraw approximately $3,076.32 at the end of 5 years.
To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.
The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:
\(FV = PV * (1 + r)^t\)
Given:
PV = $2,300
r = 6% = 0.06 (decimal representation)
t = 5 years
Substituting these values into the formula, we get:
FV = $2,300 * \((1 + 0.06)^5\)
Calculating the expression inside the parentheses:
\((1 + 0.06)^5 = 1.338225\)
Multiplying the present value by this factor:
FV = $2,300 * 1.338225
FV ≈ $3,076.32
Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.
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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent
A salon owner's credit card sales for a week were 58758.49. during the same period, she had 5557 48 in credit refunds and she paid fees of 31\4% on the net credit card sales. the balance at the beginning of the
week was 54056 68. checks outstanding were 576353, 539.76, 51503.63, 5147.66, 52283 18, 577 81, 53651 92,5837.17, and 5300. she had credit card and bank deposits of s456.11, 5798 42.5358 23
51287.77.5675 97 and 51386.45 that were not recorded. answer parts 1 through 5.
1. find the net deposit given the credit card sales and refunds
the net deposit given credit card sales and refunds is s
The net deposit given credit card sales and refunds is calculated as follows:
Step 1: Calculate the total credit card sales for the given period. The total credit card sales for a week were 58,758.49. Step 2: Deduct the credit refunds from the total credit card sales. The credit refunds for the week were 5557.48. So the net credit card sales will be = Total credit card sales - credit refunds= 58,758.49 - 5557.48 = 53101.01.
Step 3: Calculate the fees on net credit card sales. The fees on net credit card sales will be 31/4% of net credit card sales = 31/4/100 × 53101.01= 1659.41
Step 4: Calculate the balance at the end of the week. The balance at the beginning of the week was 54056.68. So, the balance at the end of the week will be= Balance at the beginning of the week + Net credit card sales - fees= 54056.68 + 53101.01 - 1659.41= 105498.28
Step 5: Calculate the net deposit.The outstanding checks are:576353, 539.76, 51503.63, 5147.66, 52283.18, 577.81, 53651.92, 5837.17, and 5300.The total amount of outstanding checks is:
576353 + 539.76 + 51503.63 + 5147.66 + 52283.18 + 577.81 + 53651.92 + 5837.17 + 5300= 690055.37.
Deposits that are not recorded are:456.11, 5798.42, 5358.23, 51287.77, 5675.97, and 51386.45.The total amount of unrecorded deposits is:
456.11 + 5798.42 + 5358.23 + 51287.77 + 5675.97 + 51386.45= 70662.95
The net deposit is given by:
Net deposit = Balance at the end of the week - Outstanding checks + Unrecorded deposits
= 105498.28 - 690055.37 + 70662.95= -51494.14.
Hence the net deposit given the credit card sales and refunds is - $51494.14.
The net deposit given credit card sales and refunds is -51494.14. This means that the salon owner needs to deposit money to cover the checks that have been issued by her.
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for the histogram on the right determine whether the mean is greater​ than, less​ than, or approximately equal to the median. justify your answer.
The median exceeds the mean by more. The histogram is skewed to the right, which shows that lower values are dragging down the mean.
The median of the histogram on the right is higher than the mean. This is evident from the histogram's form, which is tilted to the right. This shows that the lower values tend to drag the mean down. The median is greater than the mean. The right-handed skewness of the histogram indicates that the mean is being pulled down by lesser values and However, because it is the centre number and is only impacted by the higher and lower values equally, the median is unaffected by the lower values. Because of this, the mean in this histogram is less than the median.
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Juana depositou em sua conta bancária as importancias de R$500.00 e R$350,00 e R$450.00 o SALDO DE SUA CNTA CORRENTE REPRESENTDADO COM NUMEROS INTEIROS É DE QUANTO?
Responder:
R $ 1300
Explicação passo a passo:
Dado que :
Quantia depositada:
Primeiro depósito = $ 500
Segundo depósito = $ 350
Terceiro depósito = $ 450
O valor total depositado é a soma de todos os três depósitos feitos e constitui o saldo atual da conta.
Primeiro depósito + segundo depósito + terceiro depósito
$ (500 + 350 + 450)
= $ 1300
(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.
Which statement best describes how accurate she can expect her prediction to be?
Her prediction will probably be close to the actual value.
Her prediction will be unlikely to be close to the actual value.
Her prediction will be somewhat likely to be close to the actual value.
Her prediction will very likely be close to the actual value.
Answer:
Her prediction will be somewhat likely to be close to the actual value.Step-by-step explanation:
A correlation coefficient of 0.55 implies a weak positive correlation, because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.
Having said that, 0.55 indicates some correlation, but weak. Therefore, the right answer is C.
Her prediction will be somewhat likely to be close to the actual value.
We have given that,
Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.
We have to determine the correct statement.
What is the correlation coefficient?The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.
A correlation coefficient of 0.55 implies a weak positive correlation because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.
Having said that, 0.55 indicates some correlation, but weak.
Therefore, the right answer is C.
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are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
What is Adjacent angles?The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.
Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
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In the following equation, what is the value of c?
8^c = (8^-4)^5
what 5.2 divided by ? =0.052
Answer:
100
Step-by-step explanation:
5.2/100 = 0.52/10 = 0.052/1
Find the sum of (â€""4 i) and (10 â€"" 5i). â€""3 5i â€""3 â€"" 5i 6 â€"" 4i 6 â€"" 6i.
A combination of the sum of two complex numbers is 15 - 19i
To find the sum of two complex numbers, add their real parts separately and add their imaginary parts separately.Now, we need to find the sum of the following complex numbers.
(-4i) + (10 - 5i) -3
5i -3 - 5i
6 - 4i 6 - 6i
Add the real parts, which are (-4) and 10.
Therefore, the real part is (10 - 4) = 6.
Add the imaginary parts, which are (-5) and (-3).
Therefore, the imaginary part is (-5 - 3) = -8.
Thus, the sum of (-4i) and (10 - 5i) is 6 - 8i.
Now, we need to find the sum of the following complex numbers.
(-3 − 5i) + (6 − 4i) + (6 − 6i)
First, we add (-3 − 5i) and (6 − 4i) to find the sum.
(−3 − 5i) + (6 − 4i) = (3 − 5i)
Then we add (3 − 5i) and (6 − 6i) to find the sum.
(3 − 5i) + (6 − 6i) = 9 − 11i
Therefore, the sum of (-3 - 5i), (6 - 4i) and (6 - 6i) is 9 - 11i.
Now we have to write our answer as a combination of the sum of two complex numbers, which we found earlier.
6 - 8i + 9 - 11i = 15 - 19i
Thus, the final answer is 15 - 19i.
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Amy flicks the spinner 200 times and it comes up gray 157 times. Do you think Amy's spinner is fair? Explain.
The percentage of getting grey is 78.5%. Amy's spinner is fair.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Amy flicks the spinner 200 times and it comes up grey 157 times.
The percentage of the grey comes up 157 times will be calculated as:-
P = 157 / 200
P = 0.785 x 100
P = 78.5%
Amy's spinner is fair.
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someone help me please
The height of the aquarium is h = 18 3/4 yd
Volume of a rectangular boxThe formula for calculating the volume of a rectangular box is expressed as
V = lwh
where
l is the length
w is the width
h is the height
Substitute
350 = 20/3 * 14/5 * h
350 = 280/15h
35 = 28/15h
28h = 35 * 15
28h = 525
h = 525/28
h = 18 3/4 yd
Hence the height of the aquarium is h = 18 3/4 yd
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I need these 2 question this is important like actually
Answer:
1) 1,3,5,7
2) I can't really see it, it is blurry. Im sorry
Step-by-step explanation:
A 6-foot man casts an 8-goot shadow. How tall is a tree that casts a 20-foot shadow?
Answer: 26.6 repeating number or 26 2/3
Step-by-step explanation:
Which graph is generated by this table of values?
X
-5
2
64
3
2
-2-
-3
4
543441 123 45
5 x
-6
-1
1
40
0
Answer:
the answer is b
Step-by-step explanation:
11. Morty scored an 80, 60, 20, and an 20 on his first four math
tests. What does he need to score on his fifth math test to
average an 50 overall?
Answer: He needs to score a 20% on his last test.
Step-by-step explanation:
80+60+20+20+20 = 200. 200/4 = 50
Answer:
he would need to score a 70
Step-by-step explanation:
So, 80+60+20+20 = 180 and to find the average dived by the number of numbers witch is 45. to find the missing number you would need to add 180 and a number. I started at 20 then 30,40,50,60, then, 70. so 180+70 is 250 and 250/5 is 50
Express the distance 440,000,000 meters using scientific notation in meters and then in millimeters. The distance 440,000,000 meters is expressed as how many meters in scientific notation.
8 is added to the quotient of 36 divided by 4
Answer:
17
Step-by-step explanation:
8 + 36/4 = 8 + 9 = 17
college students are a major target for advertisements for credit cards. at a university, 65% of students surveyed said they had opened a new credit card account within the past year. if that percentage is accurate, how many students would you expect to survey before finding one who had not opened a new account in the past year?
College students are often targeted by credit card companies with advertisements. A survey conducted at a university found that 65% of students had opened a new credit card account within the past year.
To answer your question, we need to use basic probability concepts. If 65% of students surveyed had opened a new credit card account within the past year, then the probability that a randomly chosen student has not opened a new credit card account is 1 - 0.65 = 0.35 or 35%.
Now, let's say we want to find the number of students we need to survey before finding one who had not opened a new account in the past year. This is equivalent to finding the number of trials before we get a success (i.e., finding a student who had not opened a new account).
We can use the formula for geometric distribution, which is:
P(X = k) = (1 - p)^(k-1) * p
where X is the number of trials before the first success, p is the probability of success, and k is the number of trials.
In our case, p = 0.35 (the probability of finding a student who had not opened a new account) and we want to find k (the number of trials).
We can set the probability to find a student who had not opened a new account to be greater than 0.5 (i.e., 50%) to ensure a high chance of success. So, we have:
P(X >= k) = 0.5
(1 - 0.35)^(k-1) * 0.35 = 0.5
Taking the logarithm of both sides and solving for k, we get:
k = log(0.5) / log(0.65)
k ≈ 3
Therefore, we would expect to survey about 3 students before finding one who had not opened a new credit card account in the past year.
In conclusion, college students are often targeted by credit card companies with advertisements. A survey conducted at a university found that 65% of students had opened a new credit card account within the past year. This statistic suggests that credit cards are popular among college students, who may be looking for ways to finance their education and living expenses. However, it is also important to note that credit card debt can be a major burden for students, especially if they are unable to make timely payments or manage their finances effectively. The probability analysis conducted in this answer shows that we would expect to survey only about 3 students before finding one who had not opened a new credit card account in the past year. This highlights the need for financial education and literacy programs for college students, to help them make informed decisions about credit card use and avoid potential debt problems.
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combining like terms 8d - 4 - d - 2
Hi :)
The way we'll simplify this is we'll combine the like terms, which are the d's and the constant terms:
8d-4-d-2
A great way is to write the d's together and the constant terms together:
8d-d-4-2
Now combine:
7d-6
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Determine the area enclosed by each polygon in parts a through j. Use the natural unit. (Fill in the blanks below. Enter your answers without rounding.) a. The area of polygon a. is units. b. The area of polygon b. isunits. C. C. The area of polygon c. isunits. d. The area of polygon d. isunits e. e. The area of polygon e. is [ ] units. units. The area of polygon f. is 9. じ 9. The area of polygon g. isunits h. The area of polygon h. is units. The area of polygon i, isunits The area of polygon j. is units.
The area of polygon j is approximately 59.81 units.
To determine the area enclosed by each polygon, we first need to identify the shape of the polygon and its dimensions.
Once we have this information, we can use the formula for finding the area of that particular shape.
a. From the given diagram, we can see that polygon a is a rectangle with a length of 5 units and a width of 3 units.
The formula for finding the area of a rectangle is A = l x w, where A is the area, l is the length, and w is the width.
Substituting the values, we get:
A = 5 x 3 = 15 units
Therefore, the area of a polygon a is 15 units.
b. Polygon b is a triangle with a base of 5 units and a height of 4 units.
The formula for finding the area of a triangle is A = (1/2) x b x h, where A is the area, b is the base, and h is the height.
Substituting the values, we get:
A = (1/2) x 5 x 4 = 10 units
Therefore, the area of polygon b is 10 units.
c. Polygon c is a trapezoid with a height of 3 units, a base of 6 units, and a top base of 4 units.
The formula for finding the area of a trapezoid is A = (1/2) x (b1 + b2) x h, where A is the area, b1 and b2 are the lengths of the bases, and h is the height.
Substituting the values, we get:
A = (1/2) x (6 + 4) x 3 = 15 units
Therefore, the area of polygon c is 15 units.
d. Polygon d is a parallelogram with a base of 4 units and a height of 3 units. The formula for finding the area of a parallelogram is A = b x h, where A is the area, b is the base, and h is the height. Substituting the values, we get:
A = 4 x 3 = 12 units
Therefore, the area of polygon d is 12 units.
e. Polygon e is a kite with a diagonal of 6 units and a diagonal of 4 units.
The formula for finding the area of a kite is A = (1/2) x d1 x d2, where A is the area, d1 and d2 are the lengths of the diagonals.
Substituting the values, we get:
A = (1/2) x 6 x 4 = 12 units
Therefore, the area of polygon e is 12 units.
f. Polygon f is a square with a side length of 3 units. The formula for finding the area of a square is A = s^2, where A is the area and s is the length of a side.
Substituting the value, we get:
A = 3^2 = 9 units
Therefore, the area of polygon f is 9 units.
g. Polygon g is a rhombus with diagonals of 4 units and 6 units.
The formula for finding the area of a rhombus is A = (1/2) x d1 x d2, where A is the area and d1 and d2 are the lengths of the diagonals. Substituting the values, we get:
A = (1/2) x 4 x 6 = 12 units
Therefore, the area of polygon g is 12 units.
h. Polygon h is a regular hexagon with a side length of 2 units.
The formula for finding the area of a regular hexagon is A = (3√3/2) x s^2, where A is the area and s is the length of a side.
Substituting the value, we get:
A = (3√3/2) x 2^2 = 6√3 units
Therefore, the area of polygon h is 6√3 units.
i. Polygon i is a regular octagon with a side length of 3 units.
The formula for finding the area of a regular octagon is A = 2(1+√2) x s^2, where A is the area and s is the length of a side. Substituting the value, we get:
A = 2(1+√2) x 3^2 = 54 + 36√2 units
Therefore, the area of polygon i is 54 + 36√2 units.
j. Polygon j is a regular pentagon with a side length of 5 units. The formula for finding the area of a regular pentagon is A = (1/4) x √(5(5+2√5)) x s^2, where A is the area and s is the length of a side. Substituting the value, we get:
A = (1/4) x √(5(5+2√5)) x 5^2 ≈ 59.81 units
Therefore, the area of polygon j is approximately 59.81 units.
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What is the answer to this 8⋅w⋅w⋅w⋅w =
Answer:
please what is equaling to
A survey about issues affecting Bluff City Park was
given to 60 residents. The results of the survey are
shown below.
Issue
Yes No
Curfew
48 12
Skateboard use
26 34
Children under 14 accompanied by
38 22
a person at least 14 years old
Assume that the results in the table accurately predict
the response ratios for the town's 1.200 residents. How
many of the 1,200 residents would respond No on the
curfew issue?
F. 240
G. 300
H. 600
J. 680
K. 960
to divide data with a high value of h and a low value of l into k classes, the class interval must be:
The number of classes should be an integer and this value will typically be a fraction. The limit needs to be raised in order to take into account all observations when this calculation yields an integer.
The fixed and variable costs can be determined by solving the system of equations if the variable cost is a fixed charge per unit and the fixed costs stay the same. The high-low method can, however, produce more or less accurate findings based on the distribution of values between the highest and lowest monetary values or quantities, therefore it is important to use caution when applying it.
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The scale on a road map indicates that 2 inches = 20 miles. How many inches would represent 140 miles on this road map?
Answer:
It is 70 miles because 140÷2=70
HELP HELP HELP
HELP HELP HELP
HELP HELP HELP
(DIVISION) NO SYNTHETIC DIVISION NOR FACTORING
STEP BY STEP
Answer:
\(2x - 3 + \frac{1}{x-1}\)
Step-by-step explanation:
Attachment :)
We use long division