Answers
The relationship between RS and RT is RT is the base of this isosceles triangle.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know the sum of all the interior angles in a triangle is 180°.
Given, A triangle RST,
So, ∠S + ∠T + ∠R = 180°.
50° + 65° + ∠R = 180°.
∠R = 65°.
This is an isosceles triangle with two similar sides RS and ST.
The relation between RS and RT is RT is the base of this isosceles triangle.
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Related Questions
when determining the pooled population variance estimate for a t test for independent means with unequal sample sizes,: group of answer choices the variance of both of the original populations must be known (as opposed to estimated) the scores from both samples are combined to form a single sample, and the estimated variance is figured in the usual way, but using this combined sample the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants the variance of at least one of the original populations must be known (as opposed to estimated), but the other can be estimated from sample scores
Answers
The estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.
What is population variance?
Each data point's distance from the population mean is quantified by the population variance, which is a measure of dispersion. The average of the squares of the deviations from the data's mean value is known as population variance.
Hence, when determining the pooled population variance estimate for a t test for independent means with unequal sample sizes, the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.
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Write an inequality and use substitution to solve the following problem:
Janet plans on mowing lawns for 12 weeks in the summer. Her goal for the summer is to earn more than $500. Which of the following rates of weekly earning would allow her to reach her goal?
Answers
The rates of weekly earning would allow her to reach her goal will be 12x > 500.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Janet anticipates cutting yards for quite a long time in the late spring. Her objective for the late spring is to acquire more than $500.
Let 'x' be the weekly rate. Then the inequality is written as,
12x > 500
The rates of weekly earning would allow her to reach her goal will be 12x > 500.
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the length of a rectanglar photograph is 7 inches more than the width. if the are is 78 inches squared, what are the dimensions of the photograph
Answers
The dimensions of the photograph are found as 13 in and 6 in.
Explain the term rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides.Let length = x.
So, width = x - 7
Area = length x width
A = x (x -7)
and A = 78 inches squared.
Thus,
78 = x (x -7)
On solving.
x² - 7x - 78 = 0
Find the factors of the quadratic equation,
x² - 7x - 78 = 0
(x - 13)(x + 6) = 0
Thus,
x = 13 and x = -6 but (x > 0)
Thus, when x = 13 in,
Width = x + 7
Width = 13 - 7
Width = 6 in
Thus, the dimensions of the photograph are found as 13 in and 6 in.
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The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.
Buckets 3 5 7
Price (dollars) 28. 50 47. 50 66. 50
Determine the constant of proportionality.
9. 5
10. 5
18. 25
28. 5
Answers
The constant of proportionality is 9.5.
The correct option is (a)
Given,
In the question:
The proportional relationship between the price for a certain number of buckets of golf balls at a driving range.
Buckets 3 5 7
Price (dollars) 28. 50 47. 50 66. 50
To determine the constant of proportionality.
Now, According to the question:
We know that:
Proportional relationship equation:
y = kx, where k-constant of proportionality
In the given table, number of buckets represent input values (x) and the price represents output values (y).
We have for the first column:
x = 3, y = 28.50
Find the value of k by plugging in the values of x and y:
28.50 = 3k
k = 28.50/3
k = 9.5
The options are:
a) 9. 5
b) 10. 5
c) 18. 25
d) 28. 5
Hence, The constant of proportionality is 9.5.
So, The correct option is (a).
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The question is attached on the image below. Help is needed urgently please help!
Answers
The intersection point is (2,5).
A coordinate pair is defined (x, y)
The x-coordinate is 2, the y-coordinate is 5.
x = 2
y = 5
Which set of ordered pairs represents a function?
O {(-6,-4), (2, -1), (-6, 0), (-9, 8)}
O {(7,-7), (8,9), (7, 7), (-4,9)}
O {(-4,-1), (-6, -7), (7,6), (-8,6)}
O {(8,-8), (2, -7), (9,-4), (8,-5)}
Submit Answer
Answers
Answer:Answer:
D.
{(-9,8), (-5,-8), (-7,8), (-6,-8)}
Step-by-step explanation:
A book sold 32,100 copies in its first month of release. Suppose this represents 8.2% of the number of copies sold to date. How many copies have
been sold to date?
Round your answer to the nearest whole number.
Answers
Answer:
2,632 copies
Step-by-step explanation:
32100× 0.082= 2632.2
About 2,632
ohnny is a sophomore in college and has a 1.5 cumulative grade point average (gpa). johnny's cumulative gpa will fall even further next semester if he performs worse than (i) his cumulative gpa. (ii) he ever performed before. (iii) he did last semester.
Answers
The value of the solution is B i.e., his cumulative gpa (i), he ever performed before (ii)
What do you mean by statistics?The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.
What are types of statistics?The two types of statistics are: Descriptive and inferential.
With the alternatives available, Johnny can only do worse if his performance falls short of both his lifetime GPA and his previous best performance. It's possible that the last scenario, in which Johnny performed worse than last semester, won't necessarily have an impact on his GPA. A cumulative GPA represents Johnny's overall GPA since he first began attending school. Considering that his most recent semester may have been one of his best and had a solid outcome, earning a result somewhat below that of his previous semester may not necessarily result in a drop in his cumulative GPA. Therefore, choice B is right.
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a population of 10,000 people has an annual growth rate of 6.5%. use the exponential growth equation to determine the size of this population after five years if the growth rate stays the same. the size of the population after five years if the growth rate stays the same is closest to:
Answers
The Total Population after five years will be 13,700 people
What is Compound Interest?
Compound interest is the adding of interest to the principle sum of a loan or deposit, or interest on interest plus interest. It is the outcome of reinvesting interest, or adding it to the lent capital, rather than paying it out or requesting payment from the borrower, so that interest is received on the principle sum plus previously accrued interest in the next month. In finance and economics, compound interest is the norm.
Solution:
To solve the problem mentioned we need to use the concept of compound interest:
Principal = 10,000
Annual Growth Rate = 6.5%
Time = 5 years
Amount = Principal * ((100+Rate)/100)^Time
Total Population after 5 years = 10,000 * (106.5/100)^5
= 10,000 * (1.065)^5
= 10,000 * 1.37008
= 13,700
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If 6s=24, does 6s÷6=24÷6?
Answers
Answer:
i need points
Step-by-step explanation:
Therefore it is equal to 6s/6 = 24/6, as you are dividing 6 on both sides.
a frog starts at location a and wants to get to location b that is 500 meters away. starting at a, it sits at a given spot on the path from a to b for a time that is exponen- tially distributed with parameter 1 (minute). after that, it jumps 1 meter towards b, sits in the new spot for an exponentially distributed time, etc. all the times are independent. what is the probability (approximately) that it will get to b within 7 hours?
Answers
The probability that it will get to b within 7 hours is approximately 0.014.
Probability:
In math, the favorable way of happening the event is known as probability.
Given,
A frog starts at location a and wants to get to location b that is 500 meters away. starting at a, it sits at a given spot on the path from a to b for a time that is exponentially distributed with parameter 1 (minute). after that, it jumps 1 meter towards b, sits in the new spot for an exponentially distributed time, etc. all the times are independent.
Here we need to find the the probability (approximately) that it will get to b within 7 hours.
While we looking at the given question we have identified that,
starting point = a
ending point = b ( 500 meters)
Time take for one jump = 1 minute
Distance covered in one jump = 1 meter.
Here they also said that the time is independent but the distance remains constant.
So, the probability that it will get to b within 7 hours is calculated as,
=> 7/500
=> 0.014
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need help working this problem
Find the missing angle values
Answers
a) ∠a = 35
b) ∠b = 40
c) ∠c = 35
d) ∠d = 70
e) When we add all the angles together we get an angle of 360°.
What is meant by an angle?In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
Given, ∠b = 40
∠d = 70
∠1 = ∠ a
∠2 = ∠c
∠1 = ∠2
So, ∠1 =∠2 = ∠a = ∠c
70 + 40 + ∠a + ∠2 = 180
110 + 2∠a = 180
2∠a = 180 - 110
∠a = 70/2
∠a = 35
∠1 =∠2 = ∠a = ∠c = 35
When we add all the angles together we get an angle of 360°
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how do i do Write the prime factorization of 6. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answers
Answer:
2*3
Step-by-step explanation:
divide by smallest number possible
6/2=3
3/3=1
2*3=6
so 2*3
Enter an equation of the line (in slope-intercept form) that passes through the point (20, −7) and is perpendicular to the line y = −5x + 9. Express any numeric values as integers or simplified fractions.
Answers
Answer:
y = 1/5x -11
Step-by-step explanation:
You want the slope-intercept equation of the line perpendicular to y=-5x+9 that goes through the point (20, -7).
Slope-intercept formThe slope-intercept form of the equation for a line is ...
y = mx +b . . . . . . . . where m is the slope and b is the y-intercept
This can be solved to find the y-intercept from a point on the line:
b = y -mx
Comparing this form to the given equation, you see the given line has a slope of m = -5.
Perpendicular lineThe perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line:
slope = -1/(-5) = 1/5
Y-interceptThe y-intercept of the desired line can be found using the equation for b above. The y-intercept of the line with slope 1/5 through point (x, y) = (20, -7) is ...
b = y -mx = (-7) -1/5(20) = -7 -4
b = -11
Now, we have the slope and intercept of the desired line, so we can write its equation:
y = 1/5x -11
what is the probability of these events when we randomly select a permutation of {1, 2, 3, 4}? a) 1 precedes 4. b) 4 precedes 1. c) 4 precedes 1 and 4 precedes 2. d) 4 precedes 1, 4 precedes 2, and 4 precedes 3. e) 4 precedes 3 and 2 precedes 1.
Answers
The probability that these events when we randomly select a permutation is 24, 1/2, 1/2, 1/3, 1/4, 1/4
What is a probability simple definition?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.
What is the probability formula?P(A) = n(A)/n (S)
The probability of an event "A" is P(A). The number of successful outcomes is n(A). The total number of events in the sample space is denoted by n(S).
1) From the set we can select 4*3*2*1=24 permutations.
2) There are six permutations that begin with 1, three that begin with 2, three that begin with 3, and no permutations that begin with 4 when 1 comes before 4. So, P1 ={ 6+3+3+0}/{24} = 1/2
3) No permutations begin with 1, three permutations begin with 2, three permutations begin with 3, and six permutations begin with 4, where 4 comes before 1. P2=1/2
4) There are no permutations that begin with 1, no permutations that begin with 2, no permutations that begin with 2, no permutations that begin with 3, and six permutations that begin with 4, where 4 comes before both 1 and 2. Therefore, P 3 = 1/3
5) No permutations begin with 1, no permutations begin with 2, no permutations begin with 3, and there are six permutations that begin with 4, where 4 comes before 1, 2, and 3. So, P4= 1/4
6) There are no combinations that begin with 1, three combinations that begin with 2, no combinations that begin with 3, and three combinations that begin with 4, where 4 comes before 3 and 2 comes before 1. So, P5= 1/4
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I don’t understand this question , it’s so confusing
Answers
the second row is 18+12=30
The following information was collected from a simple random sample of a population. 9 13 15 15 21 24 The point estimate of the population standard deviation is Select one: O a. 59.1. O b. 7.688. O C. 7.018. O d. 49.25.
Answers
The point estimate of the population standard deviation is 5.91 (Option A)
Standard deviation refers to the spread of a data distribution and measures the distance between each data point and the mean. The sample standard deviation (s) is a point estimate of the population standard deviation σ.
The mean of the population ẋ = sum of all values/ total number of values = 97/6 ≈ 16
The point estimate of the population standard deviation S =√(∑(xi - ẋ)^2/n-1)
∑(xi - µ)^2 = (9 – 16)^2 + (13– 16)^2 + (15– 16)^2 + (15– 16)^2 + (21– 16)^2 + (24– 16)^2 = 79 + 9 + 1 + 1 + 25 + 64 = 179
s = √(179/5) = 5.98
Note: The question is incomplete. The complete question probably is: The following information was collected from a simple random sample of a population. 9 13 15 15 21 24 The point estimate of the population standard deviation is Select one: O a. 5.91. O b. 7.688. O C. 7.018. O d. 4.925.
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Suppose that 14 inches of wire costs 84 cents.
At the same rate, how much (in cents) will 37
inches of wire cost?
Answers
Answer: 222 cents
Step-by-step explanation: 84/14 = 6 This is the unit rate.
6 x 37 = 222
HLP PLLSSSSSS!!! TYSM!!!
Solve 2(3m + 1) − 2m = −14.
m = −4
m equals negative 14 over 3
m equals negative 16 over 6
m = −0.06
Answers
Answer:
m = -4
Step-by-step explanation:
2(3m + 1) - 2m = -14
Use distributive property.
6m + 2 - 2m = -14
Combine like terms.
4m + 2 = -14
Subtract 2
4m = -16
Divide by 4.
m = -4
How to solve 3(1+p)=-5(p+1)
Answers
Step-by-step explanation:
3(1+p)=-5(p+1)
here is your answer
I hope this helpful for u
Find the differences between 3,428 and 8,254
Answers
Answer: 4826
Step-by-step explanation: 8254 - 3248 = 4826
Please help me with this 2 problems
Answers
[9] Answer: x = 4
Step-by-step explanation:
Both of these problems use triangle's exterior angles. We will set up an equation and solve. The two opposite angles are equal to opposite exterior angle. After writing our equation, we will solve and isolate the variable using inverse operations.
17x + 1 + 18x + 3 = 144
35x + 4 = 144
35x = 140
x = 4
[10] Answer: x = 3
Step-by-step explanation:
Both of these problems use triangle's exterior angles. We will set up an equation and solve. The two opposite angles are equal to opposite exterior angle. After writing our equation, we will solve and isolate the variable using inverse operations.
20x + 23x + 1 = 130
43x + 1 = 130
43x = 129
x = 3
The second is x = 3
The interior angles formed by the sides of a hexagon have measures that sum to 720°.
What is the measure of angle F?
Enter your answer in the box.
m∠F=
Answers
Answer:
Step-by-step explanation:
(x-60)+(x-20)+(x-40)+130+120+110=720
3X -120 + 360=720
3x +240= 720
3x= 720-240
3x=480
x= 480/3 = 160
x=160
angle F = (x-20)
angle F = 160-20=140
angle F = 140
The vertices of a rectangle are located at the coordinates (1, 4), (1, 5), (6, 5), and (6, 4).
Find the length of the sides of the rectangle and its perimeter.
Answers
Check the picture below.
a multiple regression model has . select one: a. more than one dependent variable b. only one independent variable c. at least two dependent variables d. more than one independent variable
Answers
The multiple regression model represented by y = a₀ + a₁x + a₂x + ... has one independent variable.
Explanation:
Simple or linear regression model represents one dependent and one independent variable.Multiple regression model represents one dependent and more than one independent variable.Simple regression model represent by y = mx + b , here y is dependent variable where as 'x' independent variable.Multiple regression model represented by y = a₀ + a₁x + a₂x + ... Multiple regression model is expanded form of linear regression model where more than one independent variables are included.Therefore, the multiple regression model has more than one independent variable that is option d.
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Azlyn had $25. She went to lunch and spent $15 what percentage of her money did Azlyn spend on lunch
Answers
Answer: 60%
Step-by-step explanation:
15 divided by 25 = 0.6
0.6 x 100 = 60%
:)
the gas mileage for a certain model of car is known to have a standard deviation of 4 mi/gallon. a simple random sample of 81 cars of this model is chosen and found to have a mean gas mileage of 27.5 mi/gallon. construct a 95% confidence interval for the mean gas mileage for this car model.
Answers
The 95% confidence interval for the mean gas mileage for this car model is (26.26, 28.74) mi/gallon.
The confidence interval for a statistical data is written as-
(x+ zr/√n, x- zr/√n)
Here, we are given that-
Mean ⇒ x = 27.5 mi/gallon.
Standard deviation ⇒ r = 4 mi/gallon
Number of samples ⇒ n = 49
and Confidence interval = 95%
z-score at 95% confidence level = 2.17
Substituting the values we have;
= [27.5 - 2.17(4.0) /(√49), 27.5 + 2.17(4.0) /(√49)]
= (27.5 - 8.68 / 7, 27.5 + 8.68 / 7)
= (27.5 - 1.24, 27.5 + 1.24)
= ( 26.26, 28.74)
Therefore, the 95% confidence interval for the mean gas mileage for this car model is (26.26, 28.74) mi/gallon.
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the length of a rectangle is four times its width. if the perimeter is at most 130 centimeters, what is the greatest possible value for the width? question 3 options: 2w + 2 • (4w) < 130 2w + 2 • (4w) > 130 2w + 2 • (4w) ≤ 130 2w + 2 • (4w) ≥ 130
Answers
Answer:
Step-by-step explanation:
Let L be the Length and W be the Width of a rectangle.
We are told that: L = 4W [the length of a rectangle is four times its width]
Perimeter = 2L + 2W
We learn that P ≤ 130 cm
2L + 2W ≤ 130 cm
Substitute L = 4W:
2L + 2W ≤ 130 cm
2(4W) + 2W ≤ 130 cm
10W ≤ 130 cm
W ≤ 13 cm
Options:
2w + 2 • (4w) < 130 Not correct since the < sign does not allow for the "at most 130 cm.")
2w + 2 • (4w) > 130 Must be ≤, not >
2w + 2 • (4w) ≤ 130 This option works since the ≤ sign is correct.
Caculate the simple interest earned on $5000 at 5% for 3.5 years
Answers
Answer:
56.0
Step-by-step explanation:
3,635 nearest thousand
Answers
Answer:
4000
Step-by-step explanation:
If we were to take the number 3,635 and round it to the nearest thousand, we can do it like this.
Start with 5. (Ones place)
3,635
5 is rounded to 10.
Now work on the number 4. (Tenths place)
3,640
4 is rounded to 0.
And now we can do the number 6. (Hundreds place)
3600
6 is rounded to 10.
If we look at the number now, it is
4000
3.635 rounded to the nearest thousand is 4000.