Answer:
y=18
x=14.4
Step-by-step explanation:
The coordinates of three vertices of a rectangle are shown in the figure. What are the coordinates of the fourth vertex?
Answer: The coordinate of the fourth vertex are (1,-2). Consider the given vertices of a square are A (1,2), B (5,2), C (5,-2). We know that the diagonals of a square are perpendicular bisectors. So, the midpoint of both diagonals is the same.
]
The sides of a right triangle form an arithmetic sequence with the difference d. Find the area of an inscribed circle in terms of d.
Answer:
The sides of a right triangle form an arithmetic sequence with the difference is described below in detail.
Step-by-step explanation:
Let's denominate the first term aa and the obvious difference dd. Therefore, your course enhances:
a, a+d, a+2da, a+d, a+2d
Now, these three terms form the sides of a right triangle. Since a+2da+2d is the highest (considering d > 0), we can state that it is the hypothenuse.
applying the Pythagorean Theorem:
a2+(a+d)2=(a+2d)2a2+(a+d)2=(a+2d)2
a2+a2+2ad+d2=a2+4ad+4d2a2+a2+2ad+d2=a2+4ad+4d2
3d2−a2+2ad=03d2−a2+2ad=0
(3d−a)(d+a)=0(3d−a)(d+a)=0
Therefore, your solutions are
3d=a3d=a
andd=−ad=−a
So if a = 3, d = 1. Therfore, one potential sequence is 3, 4, 5.
Similarly, if a = 6, then d = 2, so another potential sequence is 6, 8, and 10
If the forecast for two consecutive periods is 1,500 and 1,400 and the actual demand is 1,200 and 1,500 , then the mean absolute deviation is 1) 500 2) 700 3) 200 4) 100
200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
How to calculate the mean absolute deviation
The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.
Forecasted values are as follows: 1,500 and 1,400
Values in actuality: 1,200 and 1,500
Absolute differences:
|1,500 - 1,200| = 300
|1,400 - 1,500| = 100
Now, we calculate the MAD:
MAD = (300 + 100) / 2 = 400 / 2 = 200
Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
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at ralphs fruit stand 1/2 pound of grapes is 90 cents you ant to buy 5 pounds of grapes, how much will they cost? PART A: what are 2 possible rates for this problem? PART B: write each rate as a a unit rate. PART C: what does each unit rate tell you? PART D: which unit rate will help you solve the problem?
HY OLA SUN TEFONO ME QVLOE AHRAC JU PSTICIORQ ME QUITASTUE MIS UNTPOS PER LAO RESPUSTA ES QU HEEEAYFRUS RALPH LIBRTA UVS AA A 8NTAVOS0 CE
a large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. twenty-five job applicants are randomly selected from one large university and they produce a mean score and standard deviation of 183 and 12, respectively. use a 0.05 level og significance to test the claim that this sample comes from a population with a mean score greater than 160. use the P-value method of testing hypotheses.
Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.
First, we calculate the test statistic, which is the t-value. The formula for the t-value is:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
Plugging in the given values, we have:
t = (183 - 160) / (12 / √(25))
= 23 / (12 / 5)
= 23 * (5 / 12)
≈ 9.58
Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.
Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).
Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
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factorise 4px-3my-2pm-6xy
Answer:
E
Step-by-step explanation:
NO
A rectangle piece of lawn i 55 m and 98 m long find the length of the fence around it
Step-by-step explanation:
draw a rectangle with width 98 and height 55 there are two of each side, so 98 + 98 + 55 +55 = 306
Answer:
306m
Step-by-step explanation:
You need to find the perimeter of the rectangle. To do that, you just add the side lenghts. So, this is your lawn with the side lengths:
55m
_____________
| |
| |
| |
98m | | 98m
| |
| |
| |
_____________
55m
You just add them together!
55 + 55 + 98 + 98 = 306
so you need 306 meters of fencing
For our safety, it is important that drivers recognize a stop sign immediately. Stop signs are made with exact side and angle measurements to form a regular octagon. They are red so they are easy to see. The three lines drawn below are straight lines. Lines a and b are parallel. a) The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠L? Describe the relationship between ∠F and ∠L. (1 point) b) What is the measure of ∠E? Explain how you know. (1 point c) Describe the relationship between ∠E and ∠K. What is the measure of ∠K? (1 point) d) What is the measure of ∠H? Explain. (1 point) e) What is the measure of ∠I? Explain. (1 point) f) Describe the relationship between ∠H and ∠L. (1 point)
Answer:
a is Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.
Step-by-step explanation:
Find the area of the surface generated when the given curve revolved about the xx-axis.y=8√xy=8x on [9,20][9,20]
As a result, the area of the surface formed by rotating the given curve about the x-axis throughout the period [9, 20] is 864π.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.
Here,
The area of the surface generated when a curve is revolved about an axis is known as the surface area of revolution and can be calculated using the formula:
A = 2π ∫ y dx
where y is the equation of the curve being revolved and the integral is taken over the interval [a,b] in which the curve is being revolved.
In this case, the curve is given by y = 8√x on the interval [9, 20]. So, the surface area of revolution is:
A = 2π ∫_9^20 8√x dx
This integral can be evaluated using substitution. Let u = √x, so that du = dx / 2√x and x = u^2. Then:
A = 2π ∫_3^4 8u * 2u du
= 2π * 8 * ∫_3^4 u^2 du
= 2π * 8 * [u^3/3]_3^4
= 2π * 8 * (64/3 - 27/3)
= 2π * 8 * (37/3)
= 864π
So, the area of the surface generated when the given curve is revolved about the x-axis over the interval [9, 20] is 864π.
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help asap!!!!!!!!!!!
Answer:
9.7 m
Step-by-step explanation:
You want the missing side of the right triangle with one leg 7 m and hypotenuse 12 m.
Pythagorean theoremThe Pythagorean theorem tells you the relationship between the side lengths is ...
y² = x² + ?²
12² = 7² + ?²
?² = 144 -49 = 95
? = √95 ≈ 9.7
The missing side is about 9.7 meters long.
<95141404393>
Find the missing length. = √ [?] 9 C C= 10 Pythagorean Theorem: a2 + b² = c²
The value of the missing length is c = √181
How to determine the missing length?From the question, we have the following parameters that can be used in our computation:
Legs = 9 and 10
Hypotenuse = c
The missing length of the triangle can be calculated using the Pythagorean Theorem represented as a² + b² = c²
So, we have the following equation
c² = 9² + 10²
Evaluate the sum of squares
c² = 181
Take the square root of both sides
c = √181
Hence, the missing length is c = √181
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How do you solve this?
Step by step would be best!
Solve for m
(m-2)/6= ½
Answer:
m = 5
Step-by-step explanation:
Given
\(\frac{m-2}{6}\) = \(\frac{1}{2}\) ( multiply both sides by 6 to clear the fraction )
m - 2 = 3 ( add 2 to both sides )
m = 5
Let A be the class of languages accepted by FAs and B the class of languages represented by regular expressions. Which of the following is correct? (5 pt) (a) B n A = ∅
(b) A C B
(c) A = B (d) |A| > |B|
The correct option is (b) A C B.
Explanation:
(a) B n A = ∅: This option states that the intersection of class B and class A is empty. However, this is not correct because there are regular languages that can be accepted by finite automata, so there can be languages in common between the two classes.
(b) A C B: This option states that class A is a subset of class B. This is true because every language accepted by a finite automaton can be represented by a regular expression, so class A is contained within class B.
(c) A = B: This option states that class A is equal to class B. This is not correct because there are regular expressions that represent languages that cannot be accepted by finite automata. Therefore, the two classes are not equal.
(d) |A| > |B|: This option states that the cardinality of class A is greater than the cardinality of class B. It is not necessarily true as there can be an infinite number of languages represented by regular expressions and an infinite number of languages accepted by finite automata. Therefore, we cannot compare their cardinalities.
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Dae buys an $2,100 telescope on an installment plan offering no interest if paid in full by 8 months. He makes a 10% down payment, then pays the minimum payment of $50 for the first 7 months. How much does he need to pay on the last payment in order to avoid interest?
The amount he needs to pay to avoid interest is $1540
What is instalment?Instalment payments refer to a customer paying a bill in small portions throughout a fixed period of time. Start invoicing for free. Instalment payments are a payment plan arranged between the buyer and the seller. It's usually clearly stated in the payment terms in a contract or on an invoice.
Dae buys telescope of $2100. he paid 10% as down payment.
= 2100 × 10/100
= $210
He paid $50 for 7 month
= 50×7 = $350
the total money paid within 7months = 350+ 210 = $560
The money he will have to pay at the last month = 2100-560 = $1540
therefore the amount he will have to pay on the 8month is $1540
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I need help with this
Answer:
x=3.75
Step-by-step explanation:
..............
Clare has $150 in her bank account. She buys a bike for
$200.
If Clare earns $75 the next week from delivering
newspapers and deposits it in her account. What will her
new balance be? Show your work.
Answer: $25
Step-by-step explanation:
150-200= -50
-50+75= 25
Answer
I believe the answer would be $25.
Step-by-step explanation:
Because if you subtract $150 from $200 you'll be left with $-50, and if you add $75 it'll get you up to $25.
I'm a bit dum tbh
how many calories would you consume if you were to eat a large size pizza (16 inches) by yourself? give your answer to the nearest hundred.
So nearest hundred of calories of pizza is 3384.
As it is given that its an pizza of 16 inches .
A Calorie is unit of heat used to indicate the amount of energy foods produce in the human body that is equal to 1000 calories.
Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80.
So as we all know pizza of 16 inches contains 3384.00 calories
And its been asked to the nearest hundred so divide it by 100And we get 3384 calorie. So a 16 inch pizza contains 3384 calories.
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help help help i’ll kiss u
Answer:
i want my kiss first
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZ
What are the coordinates of point p on the directed line segment from A to B such that P is 1/4 the length of the line segment from A to B
Answer:
(-11/4, -1/2)
Step-by-step explanation:
Too much to explain
During a particular football game, the chicago bears made 17, 3, -6, 32, -11 yards. what was the total gain or loss made by the team? please indidate whether it was a gain or loss along with the yards
The total gain made by the Chicago Bears during the game is 18 yards.
To determine the total gain or loss made by the Chicago Bears during the football game, we need to sum up the yardages gained or lost.
The yardages gained or lost by the team are as follows:
17 yards (gain)
3 yards (gain)
-6 yards (loss)
32 yards (gain)
-11 yards (loss)
To obtain the total gain or loss, we can simply add up these yardages:
Total gain/loss = 17 + 3 - 6 + 32 - 11
Performing the addition and subtraction:
Total gain/loss = 35 - 6 - 11
Total gain/loss = 29 - 11
Total gain/loss = 18
The total gain or loss made by the Chicago Bears during the game is 18 yards.
Since the value is positive (18), it indicates a gain of 18 yards.
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professional tennis players may constitute a(n) group for an amateur tennis player who identifies with certain players by imitating their behavior whenever possible despite the fact that the amateur tennis player does not qualify for membership as a professional tennis player because he/she has neither the skills nor the opportunity to compete professionally.
Professional tennis players may constitute a(n) symbolic group for an amateur tennis player
A symbolic group is one in which a person is unlikely to be accepted even if they act like a member by emulating their beliefs, attitudes, and behaviors. For young people, cricket players like Sachin Tendulkar, Sourav Ganguly, etc., may serve as a representative group. By concentrating on the small scale, symbolic interactionism examines the individual within a community and their relationships with others.
Similar to this, professional tennis players may serve as a symbolic group for an amateur tennis player who identifies with certain players by mimicking their behavior whenever possible, even though the amateur tennis player does not meet the criteria for membership in the category of professional tennis players because he or she does not have the necessary skills or access to the professional circuit.
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Which group worked with men between the ages of 16 and 25, providing them with job training as well as with part-time work
The group that worked with men between the ages of 16 and 25, providing them with job training as well as with part-time work was the Civilian Conservation Corps (CCC).The Civilian Conservation Corps (CCC) was a New Deal program established by President Franklin D.
Roosevelt in 1933 in response to the Great Depression. It was a public work relief program that operated from 1933 to 1942 in the United States for unemployed and unmarried men between the ages of 16 and 25.The CCC provided jobs for millions of unemployed young men, particularly in rural areas. It was designed to conserve natural resources in rural areas through conservation and development activities, including soil conservation, forestry, and state and national parks development. In addition, it provided valuable training and education opportunities for young men who had little or no education.
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We can use a normal probability model to represent the distribution of sample means for which of the following reasons? Check all that apply. the sample is randomly selected the distribution of the variable in the population is normally distributed the sample size is large enough to ensure that sample means will be normally distributed
All three reasons (1, 2, and 3) can be valid for using a normal probability model to represent the distribution of sample means.
1, 2, and 3 are correct.We can use a normal probability model to represent the distribution of sample means for the following reasons:
1. The sample is randomly selected. This ensures that each member of the population has an equal chance of being selected, reducing potential biases and allowing the use of a normal probability model.
2. The distribution of the variable in the population is normally distributed. When the population distribution is normal, the distribution of sample means will also be normally distributed, as stated by the Central Limit Theorem.
3. The sample size is large enough to ensure that sample means will be normally distributed. As the sample size increases, the distribution of sample means approaches a normal distribution, even if the original population distribution is not normal. This is also part of the Central Limit Theorem, which typically suggests a sample size of 30 or more.
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There is a three-digit number. The second digit is four times as big as the third digit, while the first digit is three less than the second digit. What is the number?
Answer:
141
I dont think I need to add anything else here.
Solve for x to make A||B.
2x
A
3x
B
Step-by-step explanation:
when A is parallel to B, then the angles with the intersecting line must be the same at both A and B - above and below the intersection point.
the sum of all angles around a point on one side of a line is 180°.
so,
2x + 3x = 180
5x = 180
x = 180/5 = 36
Clare puts $600.00 into an account to use for school expenses. The account earns 10% interest, compounded annually. How much will be in the account after 5 years?
Answer:
\(A=\) $\(966.306\)
Step-by-step explanation:
we know that
The compound interest formula is equal to
\(A=P(1+\frac{r}{n})^n^{t}\)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\(t= 5\) \(years\)
\(P=\) $\(600.00\)
\(r=10\)% \(=10/100=0.10\)
\(n=1\)
substitute in the formula above
\(A=600(1+\frac{0.10}{1})^1^*^5\)
\(A=600(1.10)^5\)
\(A=\) $\(966.306\)
This is a pyramid problem so please help out
Answer:
Step-by-step explanation:
LA, Laterial Surface Area, is the lateral surface area of a pyramid. In this case, it is the sum of five triangles with base of 12cm and height that can be calculated as follow:
height^2 = 8.26^2 + 20^2 = 468.23
height = 21.64cm
LA = 5*1/2*12*21.64
= 649.2cm^2
SA, Surface Area, is the sum of LA and base area.
Base area = 5*1/2*12*8.26 = 247.8cm^2
SA = 649.2 + 247.8 =897cm^2
Volume, V = 1/3 * base area * height
= 1/3 * 247.8 * 20
= 1652cm^3
Answer:
Step-by-step explanation:
LA = 5x(1/2)x(12)xsqrt(8.26^2+20^2)
= 649.16
SA = LA + 5x(1/2)x12x8.26
= 896.96
V = 5x1/2x12x8.26x20/3
= 1652
A college student team won 20% of the games it played this year. If the team won 11 games, how many games did it play?
Answer:
55 games
Step-by-step explanation:
What we have to figure out is the total amount of games they played the whole year. We know they won 20% of their games, which equates to 11 games won in total. In order to find the total amount of games we will need to set up the equation \(g = 11/20\)%. We solve this accordingly: \(g = (11/20) *100\); \(g = (.55)*100\); \(g = 55\).
Question 1
On a multiple-choice test with four possible answers for each question:
What is the probability of answering a question correctly if you make a random guess?
If you are able to eliminate one of the answer choices and then you make a guess, what is the probability of answering correctly?
The probability of answering a question correctly if you make a random guess 1/4. The probability of answering correctly after given situation is 1/3.
a) If there are four possible answers for each question and you make a random guess, the probability of answering a question correctly is 1 out of 4, or 1/4. This is because there is only one correct answer out of the four choices.
b) If you are able to eliminate one of the answer choices, the probability of answering correctly increases. With three answer choices remaining, the probability of guessing the correct answer is 1 out of 3, or 1/3. This is because there is only one correct answer out of the three remaining choices. By eliminating one incorrect choice, you have improved your odds of guessing the correct answer.
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Three friends were playing a game of marbles.
At the end of the game, Marcy had 25% of the
marbles, Roger had
2
1
of the marbles, and Ann
had the rest of the marbles. If there were 100
marbles altogether, how many marbles did Ann
have at the end of the game?
The number of marbles Ann had at the end is 54.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total marbles = 100
The number of marbles:
Marcy:
= 25% of 100
= 1/4 x 100
= 25
Roger:
= 21
Now,
The number of marbles:
Ann = 100 - (25 + 21) = 100 - 46 = 54
Thus,
Ann has 54 marbles at the end.
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