Answer:54.29%
Step-by-step explanation:
justify your reasons by determining the postulates, definitions, theorems, and properties used.
The angle 1 and angle 2 are congruent by alternate interior angles.
What is the angle sum property of triangle?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
1. Angle1 and angle2 are complementary. angle2 and angle 3 are complementary.
= sum of these angles is 180 degree because they are linear angles
2. m angle1+ m angle2 = 90° m/2+m/3 = 90°
=There sum makes right angle
3. m angle1+ m angle2 = m angle2 + m angle3
= sum of both the sides is 180 degree
4. m angle2 = m angle2
= sum of both the sides is equal
5. m angle1= m angle3
= sum of both the sides is equal
6. angle1 congruent angle3
=They are alternate interior angles.
Therefore, by the triangles properties angle 1 and angle 3 are congruent.
Learn more about the triangles;
https://brainly.com/question/2773823
#SPJ1
2.31 (1 repeating) as a decimal
Answer:
Whats the question?
Step-by-step explanation:
I hope this is what you wanted 2.31 Repeating Decimal is 229/99 or 2 31/99 as a Fraction.
What is the domain of the function y=2~/x-6 ?
Find the difference (4 - 7m) - (-n + 2m - 1)
core-s-up is a company that helps students improve their test scores on college entrance exams. they advertise that the study program increases a person's score on the gmat by an average of 30 points. a consumer group wishes to test if the average score increase differs from 30 points. assume the population distribution of increase in gmat scores is approximately normal. true or false--the consumer group could have made a type ii error.
True. The consumer group could have made a type II error. A type II error occurs when the consumer group fails to reject the null hypothesis, which states that the average score increase is equal to 30 points, even though it is actually false.
In this case, if the study program does increase the average score by a different amount, the consumer group may fail to detect this difference and incorrectly conclude that the average score increase is 30 points. This error is possible because no statistical test is perfect, and there is always some level of uncertainty involved in hypothesis testing.
To minimize the risk of a type II error, the consumer group should use an appropriate sample size and consider conducting a power analysis before conducting the study.
To know more about average visit:
https://brainly.com/question/24057012
#SPJ11
solve for x, show all work
The value of x for the given right triangle is 2 units.
According to the question,
We have the following information:
We have a right triangle where the measurements of its sides are given and one angle is given.
We can use trigonometric function to find the value of x for this triangle.
So, we have the following expression:
Sin 60 = √3/x
Putting the value of sin 60:
√3/2 = √3/x
Using the cross multiplication method:
√3x = 2√3
Dividing by √3 on both the sides:
x = 2 units
Hence, the value of x for the given right triangle is 2 units.
To know more about value of x here
https://brainly.com/question/23229464
#SPJ1
PLS SOLVE
2d = 3c d=?
The dimension of the row space of a 3 x 3 matrix A is 2. (a) What is the dimension of the column space of A? (b) What is the rank of A? (c) What is the nullity of A? (d) What is the dimension of the solution space of the homogeneous system Ax = 0?
a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.
(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.
(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.
(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:
nullity = number of columns - rank
nullity = 3 - 2 = 1
Therefore, the nullity of matrix A is 1.
(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.
Know more about matrix here:
brainly.com/question/24079385
#SPJ4
Which equation can you use to calculate the
missing credit score?
*-780
1.07
28
x - 28
780=
1.07
28 =
x-1.07
780
Answer:
1.07=x-780/28
Step-by-step explanation:
Miss credit score: 810
Answer:
810
Step-by-step explanation:
This question is about two positive numbers. Here are facts about these numbers:The numbers are consecutive even integers.The sum of the numbers is 38.
Now that we’ve learned how to solve word problems involving the sum of consecutive integers, let’s narrow it down and this time, focus on word problems that only involve finding the sum of consecutive even integers.
But before we start delving into word problems, it’s important that we have a good understanding of what even integers, as well as consecutive even integers, are.
Even Integers
We know that even numbers are integers that can be divided exactly or evenly by 22. Thus, the general form of the even integer nn, is n = 2kn=2k, where kk is also an integer.
In other words, since even numbers are the multiples of 22, we can represent an even integer nn by 2k2k, where kk is also an integer. So if we have the even integers 1010 and 1616,
Answer:
18 and 20
Step-by-step explanation:
x + x + 2 = 38
2x + 2 = 38
2x = 36
x = 18
x+2 = 20
- 3x + 6y =- 18 solve for y
Answer:
y = \(\frac{1}{2}\) x - 3
Step-by-step explanation:
- 3x + 6y = - 18 ( isolate the term in y by adding 3x to both sides )
6y = 3x - 18 ( divide through by 6 )
y = \(\frac{1}{2}\) x - 3
Homework please help
Answer:
I think B is the right one.
Step-by-step explanation:
Hope this helped
At a university, 34% of undergraduate students love spicy food, while 45% of graduate students love spicy food. Let P hat Subscript u and P hat Subscript g be the sample proportions of undergraduate and graduate students at this university, respectively, who love spicy food. Suppose 35 undergraduate students and 28 graduate students from this university are selected at random and asked if they love spicy food.
Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of P hat subscript u Baseline minus p hat subscript Upper G ?
The difference (undergraduate students – graduate students) in the sample proportions of those who love spicy food typically varies about 0.006 from the true difference in proportions.
The difference (undergraduate students – graduate students) in the sample proportions of those who love spicy food typically varies about 0.015 from the true difference in proportions.
The difference (undergraduate students – graduate students) in the sample proportions of those who love spicy food typically varies about 0.078 from the true difference in proportions.
The difference (undergraduate students – graduate students) in the sample proportions of those who love spicy food typically varies about 0.123 from the true difference in proportions.
Therefore, 65% of all nurses have a starting salary, z = invNorm(0.35) ≈ -0.3853 and z = (41861.5 - 67694) / 10333 ≈ -2.49.
b) We need to find P(X ≥ 78371.8). To do this, we can standardize the value using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. Then we can look up the probability in a standard normal distribution table or use a calculator.
\(z = (78371.8 - 67694) / 10333 \approx 1.04\)
Using a standard normal distribution table or calculator, we find that P(Z ≥ 1.04) ≈ 0.1492. Therefore, the probability that a randomly selected nurse has a starting salary of 78371.8 dollars or more is about 0.1492.
c) We need to find P(X ≤ 91407.1). Again, we can standardize the value and look up the probability in a standard normal distribution table or use a calculator.
\(z = (91407.1 - 67694) / 10333 \approx 2.30\)
Using a standard normal distribution table or calculator, we find that P(Z ≤ 2.30) ≈ 0.9893. Therefore, the probability that a randomly selected nurse has a starting salary of 91407.1 dollars or less is about 0.9893.
d) We need to find P(78371.8 ≤ X ≤ 91407.1). We can standardize the values and use a standard normal distribution table or calculator to find the probability.
z1 = (78371.8 - 67694) / 10333 ≈ 1.04
z2 = (91407.1 - 67694) / 10333 ≈ 2.30
Using a standard normal distribution table or calculator, we find that P(1.04 ≤ Z ≤ 2.30) ≈ 0.4657. Therefore, the probability that a randomly selected nurse has a starting salary between 78371.8 and 91407.1 dollars is about 0.4657.
e) We need to find P(X ≤ 41861.5). Again, we can standardize the value and use a standard normal distribution table or calculator.
z = (41861.5 - 67694) / 10333 ≈ -2.49
Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.49) ≈ 0.0062. Therefore, the probability that a randomly selected nurse has a starting salary that is at most 41861.5 dollars is about 0.0062.
f) Yes, a starting salary of 41861.5 dollars is unusually low for a randomly selected nurse. This is because the probability of getting a starting salary at or below this value is very small, as we calculated in part (e).
g) We want to find the value x such that 65% of all nurses have a starting salary greater than x. This means we need to find the 35th percentile of the distribution, which we can do using a standard normal distribution table or calculator.
z = invNorm(0.35) ≈ -0.3853
Using the formula z = (x - μ) / σ, we can solve for x:
-0.3853 = (x - 67694) / 10333
x - 67694 = -0.3853 * 10333
x ≈ 63757.72
To know more about distribution visit:
https://brainly.com/question/31197941
#SPJ1
Please help asap!
Simplify 3^2 ⋅ 3^5
a. 3^7
b. 3^10
c. 9^7
d. 9^10
Answer:
D. is the answer :) have a great day
The variable data refers to the list [10, 20, 30]. After the statement data.insert(1, 15), the original data evaluates to
a)[15, 10, 20, 30]
b)[10, 15, 30]
c)[10, 20, 30, 15]
d)[10, 15, 20, 30]
The original data evaluates to option d) [10, 15, 20, 30] because the statement `data.insert(1, 15)` inserts the value 15 at index 1, shifting the remaining elements accordingly. The correct option is (D).
When the `insert()` method is called on a list, it takes two arguments: the index at which the new element should be inserted and the value of the new element.
In this case, the index is 1, which means the new element will be inserted at the second position in the list, shifting the existing elements to the right.
So, after the insertion, the element 15 is placed at index 1, and the original elements 10, 20, and 30 are shifted to indices 2, 3, and 4 respectively. The resulting list becomes [10, 15, 20, 30].
Therefore, the correct answer is d) [10, 15, 20, 30].
To know more about `insert()` method refer here:
https://brainly.com/question/30715449#
#SPJ11
An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s? 2 < s < 18 6 < s < 12. 8 s < 2 or s > 18 s < 6 or s > 12. 8.
Answer:
Step-by-step explanation:
Method
The smallest the third side can be is something just larger than 2
You get 2 by subtracting10 and 8. The third side is just a bit larger. 8 and 2 will make up the length of 10 so you cannot use 2 itself
The largest value possible is just under 18. You get 18 by adding 8 and 10 together. So to get a triangle, you need just under 18.
Answer
2<s<18
A
The main idea behind statistical inference is that: a. without statistics we would have no way of determining if an effect is taking place in any given experiment. b. through the transformation of data we can derive many conclusions about our sample.
c. through the use of sample data we are able to draw conclusions about the population from which the data was drawn. d. when generalizing results to a population you must make sure that the correct statistical procedure has been applied.
The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).
Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.
By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.
The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.
Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.
To know more about statistical inference refer here:
https://brainly.com/question/30484842
#SPJ11
A professor counted the number of words students used to answer an essay question. Create a ranked frequency distribution of these data.
245 261 289 222 291 289 240 233 249 200
A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.
The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.
In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.
To know more about frequency distribution visit:
brainly.com/question/32535034
#SPJ11
A resistor uses energy at a rate of 2.50W when there is a current of 4.00A passing through it. What must be the potential difference across the resistor
The potential difference across the resistor is 0.625 volts if a resistor uses energy at a rate of 2.50W when there is a current of 4.00 A passing through it.
To determine the potential difference (voltage) across a resistor, you can use Ohm's Law, which states that the voltage across a resistor is equal to the current flowing through it multiplied by its resistance. Mathematically, it can be expressed as
V = I × R
Where
V is the voltage (potential difference) across the resistor,
I is the current passing through the resistor, and
R is the resistance of the resistor.
In this case, you are given the current (I = 4.00A) and the power (P = 2.50W) consumed by the resistor. The power can be calculated using the formula
P = V × I
Rearranging the formula, we can solve for the voltage (V)
V = P / I
Substituting the given values
V = 2.50W / 4.00A
V = 0.625 volts
Therefore, the potential difference across the resistor is 0.625 volts.
To know more about potential difference here
https://brainly.com/question/23716417
#SPJ4
the weights of cars passing over a bridge have a mean of 3550 pounds and standard deviation of 870 pounds. assume that the weights of the cars passing over the bridge are normally distributed. use a calculator to find the approximate probability that the weight of a randomly selected car passing over a bridge is between 2800 and 4500
Answer:
Using the usual notations and formulas,
Using the usual notations and formulas,mean, mu = 3550
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculate
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculateZ= (X-mu)/sigma = (3000-3550)/870 = -0.6321839
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculateZ= (X-mu)/sigma = (3000-3550)/870 = -0.6321839Probability of weight below 3000 lbs
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculateZ= (X-mu)/sigma = (3000-3550)/870 = -0.6321839Probability of weight below 3000 lbs=P(X < 3000) = P(z < Z) = P(z < - 0.6321839) =
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculateZ= (X-mu)/sigma = (3000-3550)/870 = -0.6321839Probability of weight below 3000 lbs=P(X < 3000) = P(z < Z) = P(z < - 0.6321839) =0.2636334
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculateZ= (X-mu)/sigma = (3000-3550)/870 = -0.6321839Probability of weight below 3000 lbs=P(X < 3000) = P(z < Z) = P(z < - 0.6321839) =0.2636334Answer:
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculateZ= (X-mu)/sigma = (3000-3550)/870 = -0.6321839Probability of weight below 3000 lbs=P(X < 3000) = P(z < Z) = P(z < - 0.6321839) =0.2636334Answer:Probability that a car randomly selected is less than 3000
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculateZ= (X-mu)/sigma = (3000-3550)/870 = -0.6321839Probability of weight below 3000 lbs=P(X < 3000) = P(z < Z) = P(z < - 0.6321839) =0.2636334Answer:Probability that a car randomly selected is less than 3000=P(X < 3000) = 0.2636 (to 4 decimals)
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculateZ= (X-mu)/sigma = (3000-3550)/870 = -0.6321839Probability of weight below 3000 lbs=P(X < 3000) = P(z < Z) = P(z < - 0.6321839) =0.2636334Answer:Probability that a car randomly selected is less than 3000=P(X < 3000) = 0.2636 (to 4 decimals)Probability that a car randomly selected is greater than 3000
Using the usual notations and formulas,mean, mu = 3550standard deviation, sigma = 870Observed value, X = 3000We calculateZ= (X-mu)/sigma = (3000-3550)/870 = -0.6321839Probability of weight below 3000 lbs=P(X < 3000) = P(z < Z) = P(z < - 0.6321839) =0.2636334Answer:Probability that a car randomly selected is less than 3000=P(X < 3000) = 0.2636 (to 4 decimals)Probability that a car randomly selected is greater than 3000=1 - P(X < 3000) = 1 - 0.2636 (to 4 decimals) =0.7364 (to 4 decimals)
How many packs of DVD's can you buy with 154 dollars if one pack costs 14 dollars?
Answer:
11
Step-by-step explanation:
divide 154 by 14
It's really confusing I need some guidance. Please help will mark brainliest. Need to get to 80% only in 57%
Answer:
1/12 is answer ..........
statistical power is a measure of the ability to reject the null hypothesis when:
Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.
A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.
Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.
Learn more about null hypothesis here:
https://brainly.com/question/29387900
#SPJ11
A project is graded on a scale of 1 to 5. if the random variable, x, is the project grade, what is the mean of the probability distribution below? a probability distribution is shown. the probability of 1 is 0.1; 2 is 0.2; 3 is 0.4; 4 is 0.2; 5 is 0.1. 0.2 0.4 1 3
For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean of the probability distribution is 3.
What is a probability distribution?For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean, standard deviation, skewness, and kurtosis are all features of probability distributions, which are characterized by the mean, standard deviation, skewness, and kurtosis.
The mean of the probability distribution is determined by the given formula,
\(\mu = \sum (x\times P(x))\)
Now, substituting the value to know the probability distribution, we will get,
\(\mu = (1 \times 0.1)+(2 \times 0.2)+(3 \times 0.4)+(4 \times 0.2)+(5 \times 0.1)\\\\\mu = 0.1+0.4+1.2+0.8+0.5 = 3\)
Hence, the mean of the probability distribution is 3.
Learn more about Probability Distribution:
https://brainly.com/question/795909
Answer:
its 3
Step-by-step explanation:
got it right on edge 2022
The following confidence interval is obtained for a population proportion, p: (.688, .724). Use these confidence interval limits to find the point estimate, p.
A. .688
B. .724
C. .706
D. 708
The point estimate, p, based on the given confidence interval (.688, .724), is .706.
To find the point estimate, p, we take the midpoint of the confidence interval.
In this case, the lower limit is .688 and the upper limit is .724.
To find the midpoint, we calculate the average of these two values.
Midpoint = (lower limit + upper limit) / 2
= (.688 + .724) / 2
= 1.412 / 2
= .706
Therefore, the point estimate, p, is .706.
The point estimate represents our best estimate for the true population proportion based on the available sample data.
In this case, it suggests that the proportion, p, is most likely around .706.
However, it's important to note that the point estimate is subject to sampling variability and may not perfectly reflect the true population proportion.
706 is the correct answer as it represents the point estimate obtained from the confidence interval limits provided.
Learn more about Sample Data from the given link :
https://brainly.com/question/33527107
#SPJ11
A different approach: Using a PROPORTION to calculate the
Markup:
Re-write the question as: What is 40% of $110?
is|of p|100
Answer:
Step-by-step explanation:
Aaahhhhh!!! Ja haw has b ha HA n zzz's
how is the relationship between the length and the area of the rectangle different from other kinds of relationships we’ve seen before?
The relationship between the length and the area of the rectangle is different from other kinds of relationships we’ve seen before. When it comes to a rectangle, its length and width must always be considered when determining its area, which is the amount of space inside the rectangle's boundaries.
In other words, the rectangle's area is directly proportional to its length and width. That means that if the length or width of the rectangle changes, then the area of the rectangle will also change. However, this is not the case with all kinds of relationships that we have seen before. For example, in some cases, one variable may have no impact on the other variable. This means that the relationship between them is either non-existent or indirect.
Another example is the inverse relationship where the change in one variable results in an opposite change in the other variable. For instance, when the price of a product increases, the number of sales decreases. Therefore, the relationship between the length and area of a rectangle is unique and must be considered together to determine the area.
This is not the case with other relationships we have seen before, where one variable can be changed without necessarily affecting the other. Thus, the relationship between the length and the area of a rectangle is different from other kinds of relationships we’ve seen before.
To know more about inverse visit:
https://brainly.com/question/30339780
#SPJ11
An ice cream shop has a selection of 10 flavors of ice cream and 5 toppings. The first menu option lets you pick three flavors and two toppings for $3.75. How many combinations can be created with the first menu option, assuming you pick different flavors of ice cream and different toppings?
Answer:
Here we want to find all the possible combinations that we can make,
First, let's define the selections that we have, and the number of options for each one of these selections. (Remember that each option can be selected only once)
we have 3 flavors and 2 toppings, so let's analyze this case:
First flavor ----- here we have 10 options
Second flavor ---- because we already selected one before, now we have 9 options.
Third flavor ---- because we already selected two before, now we have 8 options.
First topping --- here we have 5 options,
Second topping --- because we already selected one before, here we have 4 options.
Now the total number of possible combinations will be equal to the product between the number of options for each selection:
C = 10*9*8*5*4 = 14,400
Watch help video Find the length of the third side. If necessary, write in simplest radical form. 7 4√2
In simplest radicle form, the length of the third side = 9 units.
Given,
Side A = 7 units.
Side B = 4√2 units.
To find Side C, we use the Pythagorean formula,
a² = b² + c²
7² = \(4\sqrt{2}^{2}\) + c²
c² = 49 + 32
c² = 81
√c² = √81
c = -9,9.
c ≠ -9 as negative values are not considered for dimensions.
Hence, the length of the third side is 9 units.
To learn more about Pythagorean theory, refer to:
https://brainly.com/question/343682
#SPJ4
Your question is incomplete. The complete question is:
With reference to the figure below, find the length of the third side. If necessary, write in the simplest radical form.
how do I find the value of e any help please
Answer:
97
Step-by-step explanation:
360-117-146 is 97
Gimmi brainest answer :)