Answer:
1, 2, 4
Step-by-step explanation:
The triangles are similar by AAA or SSS (yes)
The sides are proportional (yes)
The length of AB is 21, not 15 (no)
The length of BC is 9 (yes)
The dilation is an enlargement, not reduction (no)
Answer:
1, 2, and 4
Step-by-step explanation:
I got it right on edge. good luck.
In a shipment of 53 vials, only 15 do not have hairline cracks. If you randomly select 4 vials from the shipment, what is the probability that all 4 of the selected vials have hairline cracks
According to the question The probability that all 4 selected vials have hairline cracks is approximately 0.2449 or 24.49%.
To calculate the probability that all 4 selected vials have hairline cracks, we can use the concept of probability and combinations.
Let's denote the event of selecting a vial with a hairline crack as "C" and selecting a vial without a hairline crack as "NC". We know that out of the 53 vials, only 15 do not have hairline cracks, so the probability of selecting a vial with a hairline crack, \(P(C),\) is \(1 - (15/53).\)
To find the probability of all 4 selected vials having hairline cracks, we need to multiply the probabilities of selecting a vial with a hairline crack four times, since the selections are independent. Therefore, the probability can be calculated as:
\(P(4C) = P(C) * P(C) * P(C) * P(C) = (1 - (15/53))^4.\)
Now we can plug in the values and calculate the probability:
\(P(4C) = (1 - (15/53))^4 = (38/53)^4 \approx 0.2449. \]\)
Therefore, The probability that all 4 selected vials have hairline cracks is approximately 0.2449 or 24.49%.
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Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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If the ratio of shirts to jeans is 5 : 3 and the no. of shirts are 15, what is the no. of jeans?
Answer:
9
Step-by-step explanation:
let x be number of jeans
3/5 = x/15
x=(3/5)15
x=9
Answer:
9 jeans
Step-by-step explanation:
The 5 part of the ratio relates to 15 shirts , then
15 ÷ 5 = 3 ← value of 1 part of the ratio , then
3 parts = 3 × 3 = 9 ← number of jeans
A college professor teaching a class of Psychology gives the following grades during Fall semester: 15% A’s, 20% B’s, 40% C’s, and 10% D’s. The remainder of the students receive an F.
What is the probability that a randomly selected student does not earn an A in this class?
Answer:
85%
Step-by-step explanation:
Because we can see that only 15% of the class obtained A's, and the question only refers to those that did not receive A's, we can subtract the 15% of the 100% whole to get 85%. This can also be written as 85/100 or 17/20(simplified).
Find the total cost. (How much you pay)
Original price of a TV: $89.99
Tax: 9%
Answer:
$98.09
Step-by-step explanation:
Answer:
$98.09
Step-by-step explanation:
to find 9% of 89.99, you multiply 89.99 by 0.09 (convert the percentage into a decimal by moving the decimal point to the left twice.)
89.99 x 0.09 = 8.0991 ~ 8.10
89.99 + 8.10 = 98.09
= $98.09
the sscp exam consists of ____ multiple-choice questions, and must be completed within three hours.
Answer:
125 questions
Answer:
125 questions
Step-by-step explanation:
ILL GIVE POINTS!! PLS HELP !!!
Which set of polar coordinates describes the same location as the
rectangular coordinates (1. - 1)?
A. (sqrt2,315°)
B. (-1,135°) C. (sqrt2,225°)
D. (1,45°)
Answer:
The polar coordinates appear in the form (r, θ), where r is the the radius from the center and θ is the angle. To get the radius, do the following.
\(r = \sqrt{x^2 + y^2} = \sqrt{1^2 + (-1)^2} = \sqrt{2}\\\)
You can get the angle visually by drawing a point (1, -1) on a graph and seeing that it is 45 degrees from the top right quadrant (you can tell its 45 because both x and y have the same magnitude). Since there are 360 degrees, 360 - 45 = 315.
If you would like to find it mathematically, this is the way to do it
\(\theta = atan(y/x) = -45\)
Notice that -45 degrees is just 360 - 45 = 315
Your answer would be
\((\sqrt{2}, 315)\)
Deepak is 7 years younger than three times his brother's age. Which expression could be used to find Deepak's age?
Answer:
7-3x
Step-by-step explanation:
Because he is 7 years younger than 3 times his brother's age which equals x.
The expression that can be used to find Deepak's age is 3 times his brother's age minus 7. This expression represents the relationship given in the problem statement.
To find Deepak's age, we need to consider his brother's age as a variable, let's say x. Three times his brother's age would be 3x. Since Deepak's age is 7 years younger than three times his brother's age, we subtract 7 from 3x. Therefore, the expression becomes 3x - 7, which gives us Deepak's age in terms of his brother's age.
By substituting different values for x, representing Deepak's brother's age, into the expression 3x - 7, we can calculate Deepak's age based on his brother's age.
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9 ABCD est un quadrilatère quelconque. E, F, G et H sont les milieux respectifs des [AB], [BC], [CD] et [AD]. Démontre que le quadrilatère EFGH est un parallélogramme.
Answer:
Pour démontrer que le quadrilatère EFGH est un parallélogramme, nous devons prouver que ses côtés opposés sont parallèles.Nous pouvons utiliser le théorème de Thalès pour prouver que les côtés opposés d'EFGH sont parallèles :Les segments [AE], [BE] et [AB] ont le point E comme milieu, donc d'après le théorème de Thalès, on a : AE/EF = AB/BCLes segments [BF], [CF] et [BC] ont le point F comme milieu, donc d'après le théorème de Thalès, on a : BF/FG = BC/CDLes segments [CG], [DG] et [CD] ont le point G comme milieu, donc d'après le théorème de Thalès, on a : CG/GH = CD/DALes segments [DH], [AH] et [AD] ont le point H comme milieu, donc d'après le théorème de Thalès, on a : DH/HE = DA/ABEn combinant ces quatre équations, nous obtenons :AE/EF = CD/DA et BF/FG = AB/BC
=> AE/EF = BF/FGCG/GH = AB/BC et DH/HE = CD/DA
=> CG/GH = DH/HEAinsi, nous avons prouvé que les côtés opposés du quadrilatère EFGH sont parallèles. Par conséquent, EFGH est un parallélogramme.
Two sides of a rectangular prism are x+5 and x-1, if the volume is X cubed +10 X squared +19 X -30. Find the missing side.
ik how to do the algrebra itself but can someone pls explain what this problem is telling me to do
Using the volume x³ + 10x² + 19x - 30, the missing side of the rectangular prism is (x + 6)
How to find the missing side of the rectangular prism?Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x - 30.
Let's find the missing side of the rectangular prism.
Therefore,
volume of a rectangular prism = lwh
where
l = lengthw = widthh = height of the prismTherefore,
volume of the prism = x³ + 10x² + 19x - 30
Let's factorise it to find the missing side length
x³ + 10x² + 19x - 30 = 0
(x - 1)(x² + 11x + 30)
let's factorise x² + 11x + 30
x² + 11x + 30
x² + 5x + 6x + 30
x(x + 5) + 6(x + 5)
(x + 6)(x + 5) = 0
Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)
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obtain the three best subsets according to the c p criterion, whicbi:of these subset models appears to have the smallest bias?
I may utilize the Cp Criterion, AICp, and SBCp to aid in choosing the optimal model. All of them impose sanctions for introducing predictions.
What is subset regression model?
Best subsets regression is a model-building regression analysis that is exploratory. It compares every model that might be built using a specified set of predictors.
There are Cp Criterion, AICp and SBCp that I can use to help select the best model. They all place penalties for adding predictors.
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Put the following equation of a line into slope-intercept form, Simpliying an
fractions.
4x+4y =4
Answer:
y = -x + 1
Step-by-step explanation:
Slope intercept form is y = mx + b
4x + 4y = 4
x + y = 1
y = -x + 1
what is the end behavior of
A(x)=(x+3)(x-4)(3x-7)(4x-3)
Answer:
Step-by-step explanation:
Since the highest power is x^4, y increases without bound as x approaches positive or negative infinity. So the end behavior is positive infinity.
find the average rate of change over the given interval
f(x) = 2^x , [3,5]
Answer:
\(y=x*2^x (3,5)+y\)
Step-by-step explanation:
what is the answer to this math problem?
The value of x in the given right angle triangle is: x = 2√10
How to use Pythagoras Theorem?Pythagoras Theorem is defined as the way in which we can can find the missing length of a right angled triangle.
The triangle possesses three sides, which are the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a² + b² = c²
Thus:
The hypotenuse of the smaller triangle is:
h = √(8²- 5²)
h = √(64 - 25)
h = √49
h = 7
Thus:
x = √(7² - 3²)
x = √40
x = 2√10
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Please help algebra one
Answer:
d
Step-by-step explanation:
pls make me as brainliest
Let X and Y be continuous random variables with joint density function: fX,Y(x,y)=31xe−xy,0
The marginal probability density function of X is \($f_X(x) = 3x$\) and
the marginal probability density function of Y is \($f_Y(y) = \frac{3}{y^2}$\).
Given that X and Y are continuous random variables with joint density function:
\(fX,Y(x,y) = $\frac{3}{1}xe^{-xy}$\)
where 0 < x, 0 < y.
We need to calculate the marginal probability density function of X and Y individually.
Marginal probability density function of
\(X: $f_X(x) = \int_{-\infty}^{\infty} f_{X,Y}(x,y) dy$\\$= \int_{0}^{\infty} \frac{3}{1}xe^{-xy} dy$\\$= 3x \int_{0}^{\infty} e^{-xy} dy$\\$= 3x[-\frac{1}{y} e^{-xy}]_{0}^{\infty}$\\$= 3x [0 - (-1)]$ \\= $3x$\\\)
Marginal probability density function of Y: \($f_Y(y) = \int_{-\infty}^{\infty} f_{X,Y}(x,y) dx$\)\($= \int_{0}^{\infty} \frac{3}{1}xe^{-xy} dx$\\$= 3 \int_{0}^{\infty} xe^{-xy} dx$\\$= 3[-\frac{1}{y} xe^{-xy}]_{0}^{\infty} - 3 \int_{0}^{\infty} (-\frac{1}{y}) e^{-xy} dx$\\$= 0 - 3 (-\frac{1}{y^2}) \int_{0}^{\infty} e^{-xy} dx$\\$= \frac{3}{y^2} [-\frac{1}{y} e^{-xy}]_{0}^{\infty}$\\$= \frac{3}{y^2} [0 - (-1)]$ \\= $\frac{3}{y^2}$\)
Therefore, the marginal probability density function of X is \($f_X(x) = 3x$\) and
the marginal probability density function of Y is \($f_Y(y) = \frac{3}{y^2}$\).
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14. A linear function is negative for x <-6 and has a y-intercept of 1. If you correctly sketch a graph of the function, at
what point will the graph intersect the x--axis?
a. (0,6)
b. (6,0)
c. (-6,0)
d. (0,-6)
The calculation answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70. Given the operational rules governing significant figures, this answer
The answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70.
According to the rules governing significant figures, the result of a multiplication or division should have the same number of significant figures as the measurement with the fewest significant figures.
In this case, both measurements, 64.49 and 6.57, have four significant figures each. When multiplied together, the result is 423.6993. However, since the measurement 6.57 has the fewest significant figures, the final answer should be rounded to match that.
Therefore, the answer is rounded to three decimal places, resulting in 423.700. The zero at the end is included to indicate that the measurement is known to that level of precision.
Hence, considering the rules of significant figures, the answer obtained from multiplying the measurements 64.49 and 6.57 is 423.700.
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The manufacturer's recommendation correct inflation range is 30 psi 34 psi. assume the tires' average psi is on target. if a tire on the car is inspected at random, what is the probability that the tire is within the recommended range?
The probability that a randomly inspected tire is within the recommended range is 1 or 100%. This means that every tire in the car should be within the recommended range, assuming the average psi is on target.
The manufacturer's recommended correct inflation range for the tire is between 30 psi and 34 psi. If we assume that the average psi of the tires is on target, we can calculate the probability that a randomly inspected tire is within the recommended range.
To calculate this probability, we need to know the total range of psi values that a tire can have. Since the recommended range is from 30 psi to 34 psi, the total range would be 34 psi - 30 psi = 4 psi.
Now, we need to determine how many values within this total range are considered within the recommended range. In this case, any psi value between 30 psi and 34 psi (inclusive) is within the recommended range.
Therefore, the probability of a randomly inspected tire being within the recommended range can be calculated as follows:
Number of values within the recommended range / Total range of values Since there are 4 psi values within the recommended range and the total range is 4 psi, the probability would be:
4 psi / 4 psi = 1
So, the probability that a randomly inspected tire is within the recommended range is 1 or 100%.
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Candice is cleaning the office building's 200-gallon aquarium. For
cleaning, she must remove the fish from the aquarium and drain the
water. The water drains at a constant rate of 10 gallons per minute.
• independent quantity:
?
• dependent quantity:
?
I need the independent quantity + dependent quantity. Using the image I need the exact graph that fits this problem.
Using function concepts, we have that:
The independent quantity is the time.The dependent quantity is the volume.Graph H fits this problem.What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
For this problem, the volume is a function of time, hence Volume = f(Time) and:
The independent quantity is the time.The dependent quantity is the volume.The decay rate is constant, meaning that we have a decreasing linear function, and graph H fits this problem.
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for the following question(s): a school counselor tests the level of depression in fourth graders in a particular class of 20 students. the counselor wants to know whether the kind of students in this class differs from that of fourth graders in general at her school. on the test, a score of 10 indicates severe depression, while a score of 0 indicates no depression. from reports, she is able to find out about past testing. fourth graders at her school usually score 5 on the scale, but the variation is not known. her sample of 20 fifth graders has a mean depression score of 4.4. suppose the counselor tested the null hypothesis that fourth graders in this class were less depressed than those at the school generally. she figures her t score to be 2.8. what decision should she make regarding the null hypothesis? group of answer choices postpone any decisions until a more conclusive study could be conducted fail to reject it there is not enough information given to make a decision reject it
Answer:
Based on the information provided, the correct choice is:
fail to reject it
Here are the key points:
• The mean depression score for the sample of 20 4th graders was 4.4.
• The counselor tested the null hypothesis that these 4th graders were less depressed than the general 4th grader population.
• The t score calculated was 2.8.
To reject the null hypothesis and conclude the sample differs from the population, we would need a high enough t score. But the t score of 2.8 is not conclusively high enough here.
Some additional considerations:
• The general 4th grader population mean is 5, so the sample mean of 4.4 is a bit lower, but not drastically. This suggests the sample may not differ hugely from the population.
• There is no information on the variation or standard deviation for either the sample or population. Without this, we can't determine if a t score of 2.8 actually signifies a statistically significant difference.
• The sample size of 20 is decent but not very large. Larger sample sizes provide more conclusive results.
• No p-value is given, making it hard to judge if the t score of 2.8 is high enough to reject the null hypothesis. By convention, p<0.05 is often used but we don't have the p-value here.
So overall, there is not enough definitive evidence provided to conclusively reject the null hypothesis. The t score of 2.8 alone is probably not high enough, given the considerations around sample size, variation, and lack of a p-value. More data and analysis would be needed to make a firm decision either way.
Therefore, the correct choice is: "fail to reject it". There is not enough information given in this question and results to conclusively reject the null hypothesis.
Step-by-step explanation:
can someone solve z=8+6x-px for x
Answer:
p = 7, x = 8
Step-by-step explanation:
z=8+6x-px for x
x = (8 - z)/(p - 6) and p≠6
Integer Roots:
p = -2, x = -1
p = 7, x = 8
In the diagram below, find the value of y....
Answer:
y = 130
Step-by-step explanation:
(4x+8) + (3x-19) + (x+7) = 180
4x + 8 + 3x - 19 + x + 7 = 180
(4x + 3x + x) + (8 -19 + 7) = 180
8x - 4 = 180
8x -4 +4 = 180 +4
8x = 184
8x/8 = 184/8
x = 23
3(23) - 19 = 50
50 + y = 180
180 - 50 = y
y = 130
Solve pleaaase i really need help
The equation of the model is (b) 2x = 5
How to determine the equation of the model?From the question, we have the following parameters that can be used in our computation:
Left = x x
Right hand side = 1 1 1 1 1
The above parameters mean that
Left = 2x
Right = 5
When represented as an equation, we have
2x = 5
Hence, the equation is (b)
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*cough cough* I need help :D
Step-by-step explanation:
*cough cough*
Find the value of g(25) for the function below.
g(x) = 24(x − 39)
Answer:
-336
Step-by-step explanation:
g(x) = 24(x − 39)
Let x = 25
g(x) = 24(25 − 39)
= 24 (-14)
= -336
There are 83 Grade 7 students in Queenston Junior High School. The number of boys is 31 less than 2 times the number of girls. How many boys and girls are there?
Answer:5
Step-by-step explanation:6×6
How many roots does the following parabola have?
Answer:
I think 2
Step-by-step explanation:
I think 2 tell me if I'm wrong
what is the average rate of change for f(x)+2^x+2 over interval −1 ≤ x ≤ 1
Answer:
adsefrthgfdsfgd
Step-by-step explanation: