Answer:
y = 2/3 x + 5/3.
Step-by-step explanation:
Slope m = (3-1)/(2-(-1)) = 2/3.
y - y1 = m(x - x1)
y - 1 = 2/3(x - (-1))
y - 1 = 2/3(x + 1)
y - 1 = 2/3 x+ 2/3
y = 2/3 x + 5/3.
Si Adrián tiene “x” años de edad, Teresa la tercera parte de Adrián, Isabel el doble de Teresa y Felipe el cuádruple de Adrián, ¿cuánto suman las edades de los cuatro? Selecciona el inciso correcto.
the answer is ISABELLA YOUR BOYFRINDS HERE
please answer the following
\( \sf \dfrac{24}{2} = \dfrac{t}{7} \)
Answer :\( \sf \dashrightarrow \:\dfrac{24}{2} = \dfrac{t}{7} \)
\( \sf \dashrightarrow \: \cancel{\dfrac{24}{2}} = \dfrac{t}{7} \)
\( \sf \dashrightarrow \:12 = \dfrac{t}{7} \)
\( \sf \dashrightarrow \:12 \times 7 = t\)
\( \sf \dashrightarrow \:84 = t\)
\( \sf \dashrightarrow \:t = 84\)
Hence, The solution is \( \large \underline{\boxed{\sf t = 84}}\)
Gwen runs back and forth along straight track: During the time interval 0 < t < 45 seconds, Gwens 250ain velocity; In feet per second, is modeled by the function given by v (t) What is the first time;t1 , that Gwen changes direction? Find Gwens average velocity over the time interval 0 < t
The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.
Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.
Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.
Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.
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the local park has a cirular pond with a diameter of 6 meters.What is the ponds circumference?Use 3.14 for n
We are going to use the circumference equation with a radius of 3 m( The radius is half the diameter)
C = π*2*r
C= π*2*(3m) (Replacing the radius)
C= 18.85 m (Multiplying)
The answer is 18.85 m.
the test statistic calculated in the process of a kruskall-wallis test is h.
T/F
The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.
True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.
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Jeanette ice cream shop sold 10 sundaes with nuts and 7 sundaes without nuts to the total number of sundaes
A line contains the points (-3,-9) and (4,5). What is the point-slope form of the line? A. y + 9 = -2 (x + 3)
B. y - 5 = 3 (x - 2)
C. y - 9 = 2 (x + 3)
D. y + 9 = 2 (x + 3)
Answer:
D
Step-by-step explanation:
First find the slope.
\(Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2\)
Point slope form:
y - y1 = m(x -x1)
y -[-9] = 2 (x - [-3])
y +9 = 2 (x + 3)
Identify the error below. Then, solve the equation correctly.
Answer:
Error: +3x should be -3x
x should equal 3
Step-by-step explanation:
In this problem, you have to pay attention how values are transferred from one side to the other. This includes paying attention t the signs.
In 3x + 4 = 8x - 11, you want to try an keep all the values positive
3x + 4 = 8x - 11
- 3x - 3x
4 = 5x - 11
+11 +11 <--This part of the equation was correct.
15 = 5x
/5 /5 <--This part of the equation should result in dividing by 5
3 = x
Hope this helps!
(4+5)(4-51) =
please help i don’t feel like doing math rn
Answer:
423
Step-by-step explanation:
Answer:
-423
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The vertices of the triangle are points on the circle. The hypotenuse of the triangle is the diameter of the circle. The center of the circle is a point on the hypotenuse (longest side) of the
The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.
The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.
Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.
To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.
In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.
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The scores on a standardized test are normally distributed with a mean of 115 and standard deviation of 10. What test score is 0.8 standard deviations below the mean?
Given:
The scores on a standardized test are normally distributed with a mean of 115 and standard deviation of 10.
Required:
What test score is 0.8 standard deviations below the mean?
Explanation:
\(\begin{gathered} \text{ The standard deviation is 10. So, 0.8 standard deviation is } \\ 0.8\times10=8.\text{ So, }115-8=107\text{ is the score that is 0.8 standard deviation } \\ \text{ from the mean.} \end{gathered}\)Answer:
answered the question.
When computing a correlation coefficient, if you have 55 degrees of freedom, your sample size must be ______. a. 55 b. 53 c. 57 d. 56
The correct answer is d. 56.
When computing a correlation coefficient, the degrees of freedom (df) is calculated as (n-2), where n is the sample size. In this case, we are given that df = 55.
Substituting df = 55 into the formula, we get:
55 = n - 2
Adding 2 to both sides, we get:
n = 57
Therefore, the sample size must be 57 in order to have 55 degrees of freedom when computing a correlation coefficient.
Hi! When computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57 (Option c).
Here's the step-by-step explanation:
1. Recall that the formula to find degrees of freedom (df) in correlation is df = n - 2, where n is the sample size.
2. In this case, the degrees of freedom is given as 55.
3. To find the sample size (n), you'll need to rearrange the formula: n = df + 2.
4. Substitute the given degrees of freedom into the formula: n = 55 + 2.
5. Solve for n: n = 57.
Therefore, when computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57.
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he australian sheep dog is a breed renowned for its intelligence and work ethic. it is estimated that 40% of adult australian sheep dogs weigh 65 pounds or more. a sample of 10 adult dogs is studied. what is the probability that more than 7 of them weigh 65 lb or more?
The probability that more than 7 of them weigh 65 lb or more is 0.0123.
Define binomial function.A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient. When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.
Given,
The Australian sheep dog is a breed renowned for its intelligence and work ethic. it is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. a sample of 10 adult dogs is studied.
Let x be the number of sheep having 65 lb or more weight out of n;
Binomial function:
P(X = x) = ⁿCₓ Pˣ qⁿ⁻ˣ
When x = 0,1 2,..n
q = 1-p
n = 10
So,
P(X>7) = P(X = 8) + P(X = 9) +P(X = 10)
P(X >7) = ¹⁰C₈ (0.40)⁸ q¹⁰⁻⁸ + ¹⁰C₉(0.40)⁹ q¹⁰⁺⁹ + ¹⁰C₁₀ (0.40)¹⁰
P(X>7) = (0.40)⁸ (45× 0.36 + 10× 0.24+0.16)
P(X>7) = (0.40)⁸ (16.2 +2.4 + 0.16)
P(X>7) = 0.40⁸ × 18.76
P(X>7) = 0.0123
The probability that more than 7 of them weigh 65 lb or more is 0.0123.
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Mary is selling tickets for a local raffle for $3 each. She has already sold $27 worth of tickets for a local raffle. She has 6 tickets left to sell.
f(t)=3t+27
What is a reasonable domain and range for the function?
Using function concepts, it is found that:
A reasonable domain is: {0, 1, 2, 3, 4, 5, 6}.A reasonable range is: {27, 30, 33, 46, 39, 42, 45}----------------------------
The domain of a function is the set that contains all possible input values.The range of a function is the set that contains all possible output values.She has 6 tickets left to sell, so she can sell at most 6 more tickets, which means that the input of the function is an integer number which is at most 6, thus a reasonable domain is: {0, 1, 2, 3, 4, 5, 6}.For each ticket sold, she earns $3. She already has $27, and the most she can earn is 27 + 3(6) = $45. Thus, a reasonable range, which contains her possible earnings, is: {27, 30, 33, 46, 39, 42, 45}A similar problem is given at https://brainly.com/question/24742551
Cher has a motorcycle worth $11,357. She has $605 in cash, and
$1,811 in her savings account. Her only debt is the ken she took out
to buy the motorcycle. If Cher's net worth is $3,934, what is the
Amount of the loan?
The amount of the loan Cher took out to buy the motorcycle is $9839.
Here, we have,
To find the amount of the loan, we need to calculate Cher's total assets and then subtract her total liabilities (debts).
Given:
Value of motorcycle = $11,357
Cash = $605
Savings account = $1,811
Net worth =$3,934
Total assets = Value of motorcycle + Cash + Savings account
Total assets = $11,357 + $605 + $1,811
Total assets = $13,773
To find the amount of the loan, we subtract the total assets from the net worth:
Loan amount = Total assets - Net worth
Loan amount = $13,773 -$3,934
Loan amount = $9839
Hence, The amount of the loan Cher took out to buy the motorcycle is $9839.
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3. A local baker orders 260 pounds of wheat flour, 120 pounds of barley flour and 90 pounds of almond flour each week for baking different types of breads. On the first day of the week, the baker uses 20% of al his almond flour. How many pounds of almond flour the baker has left?"
We will determine the remaining almond flour as follows:
*First: We determine how much does 20% of it is:
\(x=\frac{90\cdot20}{100}\Rightarrow x=18\)So, 20% of almond flour is 18 pounds. Now, we subtract this amount from the total amount:
\(r=90-18\Rightarrow r=72\)So, there are 72 pounds of almond flour left.
A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent? HURRYYYYYYYYY
Answer:
the sea line
I am guessing
Step-by-step explanation:
Answer: I think it will the surface of the water
2
Select the correct answer.
Which value is not part of the five-number summary needed for a box plot of this data?
(5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19)
A.
B.
C.
D.
1
5
9
11
Reset
Next
6/1000 as a common fraction
tina bought three pairs of jeans and three sweaters that were on sale she paid a total of 105.69 if the jeans were 26.93 how much was each sweater?
Answer:
Each sweater costs $8.30
Step-by-step explanation:
j = jeans
s = sweater
3j + 3s = 105.69
3(26.93) + 3s = 105.69
80.79 + 3s = 105.69
-80.79 -80.79
3s = 24.9
/3 /3
s = 8.3 ($8.30)
Check:
3j + 3s = 105.69
3(26.93) + 3(8.3) = 105.69
80.79 + 24.9 = 105.69
105.69 = 105.69
Hope this helps!
can someone please help me i dont understand this
Answer:
(-2,12)(-1,10)(0,8)(1,6)
Step-by-step explanation:
It has a constant slope of -2/1 *y2-y1/x2-x1*
A code ue for 1 for A, 2 for B, 3 for C and o on upto 26 for Z. Coded word are written without pace to confue the enemy o 18 could be AH or R. Decode the following meage
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
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Algebra solve the equation show work
Answer:
Step-by-step explanation:
3t + 4 = 12 + 3t
4 = 12 (subtract 3t from both sides)
0 = 8 (subtract 4 from both sides)
Which of the following describes the graph of y=3\sqrt[3]{27x-54}+5 compared to the parent cube root function?
Horizontal translation: 2 units right.
Vertical translation: 5 units up
Stretch/compression: stretched by a factor of 3.
Reflection: not reflected.
An animal shelter conducts an annual fundraising drive. The animal shelter must raise at least enough money to cover their annual rental of $2,500 and weekly expenses of $450. So far, the shelter has received a one-time donation of $125 and pledged donations of $680 per week. Which inequality can be used to find w, the number of weeks it can take for the shelter to meet the goal?
The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10
To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.
Let's break down the expenses and donations:
Expenses:
Annual rental = $2,500
Weekly expenses = $450
Donations:
One-time donation = $125
Pledged donations per week = $680
Let w represent the number of weeks it takes for the shelter to meet its goal.
Total expenses for w weeks = Annual rental + Weekly expenses * w
Total expenses = $2,500 + $450w
Total donations for w weeks = One-time donation + Pledged donations per week * w
Total donations = $125 + $680w
To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:
Total donations ≥ Total expenses
$125 + $680w ≥ $2,500 + $450w
Simplifying the inequality, we have:
$230w ≥ $2,375
Dividing both sides of the inequality by 230, we get:
w ≥ $2,375 / $230
Rounding the result to the nearest whole number, we have:
w ≥ 10
Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:
w ≥ 10
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**find x**
…………………….
Answer: 9/2
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so:
\(\frac{x}{6}=\frac{3}{4}\\\\x=\frac{18}{4}=\boxed{\frac{9}{2}}\)
Mr. Burn's class is taking a field trip to the planetarium. The trip will cost $27 for each
student. There are 18 students in his class. Which way do you think is a better way to
estimate the total cost of the trip: rounding or using compatible numbers? Explain.
PLEASE HELP
Answer:
$486
Step-by-step explanation:
all you do is multiply 27 and 18. i feel like using compatible numbers bc the numbers you have will give you your answer.
Answer:
well multiply 27 and 18
Step-by-step explanation:
which would be 27 x 18 =486
Mr. Daniels is organizing a class trip. He wants to spend less than $300. Which inequality represents the cost, c, that Mr. Daniels can spend on the class trip?
c < 300
The inequality that represents the cost, c, that Mr. Daniels can spend on the class trip is; c < 300
How to solve Inequality word problems?
We are told that;
Mr. Daniels is organizing a class trip.
Mr. Daniels wants to spend less than $300
Thus, if the cost that Mr. Daniels can spend on the class trip is given as c, then it means that c has to be less than the amount which he wants to spend which is $300.
Thus, since c has to be less than $300, then it means that the inequality to be used would be a less than sign which can be expressed as;
c < 300
Thus, we conclude that it is the required inequality.
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need help asap. low geometry grade
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3
Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is a right triangle. Show all calculations for full credit.
Answer:
it's a right angled triangle