Answer:
6
Step-by-step explanation:
60 ÷ 100 × 90 = 54 students passed
60 - 54 = 6 didn't not pass
hope this helps!
Find the volume of a solid whose base is a right isosceles triangle whose legs have length 1 meter and whose cross sections perpendicular to one of the legs are squares.
We can see here that the volume of such solid is: 1/12m³.
What is volume?Volume refers to the amount of space occupied by an object or substance. It is a physical quantity that describes the three-dimensional size of an object or the capacity of a container.
We can actually deduce here that the area of the base of the solid is (1/2)(1)(1) = 0.5 square meters.
The side length of each square cross section is equal to the height of the solid at that point. Let h be the height of the solid. The volume of each square cross section is
(h/2)² = h²/4 cubic meters.
The solution is given below.
\(\int\limits^1_0 {\frac{h^{2} }{4} } \, dh = \frac{h^{3} }{12} |^{1} _{0} = \frac{1}{12} =\frac{1}{12} m^{3}\)
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2x + 19 and x + 23 are alternate exterior angles. What is the value of x? *
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
How to solve a linear equation
If two angles are alternate exterior, then both angles have the same measure. Thus, we have the following expression:
2 · x + 19 = x + 23 (1)
Now we proceed to solve for x:
x = 4
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
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x² + 6x + 8 = 0
x = [? ], [ ]
Enter smallest solution first
Answer:
x = -4,-2
Step-by-step explanation:
x² + 6x + 8 = 0
Factor the equation
(x+4)(x+2) =0
Using the zero product property
x+4 =0 x+2 =0
x=-4 x=-2
x = -4,-2
Answer:
\( \sf \: x = - 2 \: \: or \: \: - 4\)
Step-by-step explanation:
\( \sf {x}^{2} + 6x + 8 = 0\)
Factorise.
\( \sf {x}^{2} + 6x + 8 = 0 \\ \sf {x}^{2} + 4x + 2x + 8 = 0\)
\( \sf x(x + 4) + 2(x + 4) = 0 \\ \sf(x + 2)(x + 4) = 0\)
Use the zero product property.
\( \sf \: x + 2 = 0 \\ \sf \: x = 0 - 2 \\ \sf x = - 2\)
Or
\( \sf \: x +4 = 0 \\ \sf \: x = 0 - 4 \\ \sf \: x = - 4\)
Therefore,
\( \sf \: x = - 2 \: or \: \: - 4\)
The contractor had already made half of the monthly instalments towards the truck in June 2022 . Determine the total amount of money that was owed to the financier excluding the insurance in June 2022
We should understand that the contractor in this case, is the debtor while the financier is the creditor who is been owed an unknown sum of money. So, we will give general knowledge on how to calculate the remaining balance.
How can we determine the owed amount of money to a financier after half repayment?To determine the owed amount of money to a financier after half repayment, you'll need to know the original amount borrowed, the interest rate, and the repayment terms.
Assuming that the repayment terms are evenly spread over a period of time, and half of the total amount has been repaid, here are the steps you can follow:
Determine the total amount borrowed: This is the original amount that was borrowed from the financier.Calculate the total interest payable: This is the amount of interest that was agreed upon between the financier and the borrower. To calculate the total interest, multiply the original amount borrowed by the interest rate.Determine the total amount payable: This is the sum of the total amount borrowed and the total interest payable etc.Read more about repayment
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Use the sampling distribution to calculate the probability that from a sample of 77 US residents over the age of 25 that a majority of the US residents in the sample (more than 50%) have attained a bachelor's degree or higher. Type all of your calculations and the answer in your solutions
To calculate the probability that a majority of US residents in a sample of 77 individuals over the age of 25 have attained a bachelor's degree or higher, we can use the sampling distribution.
Assuming that the probability of an individual having a bachelor's degree or higher is p, we can approximate the sampling distribution using the normal distribution. The mean of the sampling distribution is p, and the standard deviation is sqrt(p(1-p)/n), where n is the sample size. By calculating the z-score for the cutoff value of 50%, we can then find the probability using the standard normal distribution table or a calculator.
Let's assume that the probability of an individual having a bachelor's degree or higher is p. The mean of the sampling distribution is p, and the standard deviation is sqrt(p(1-p)/n), where n is the sample size.
In this case, the sample size is 77. To calculate the probability that a majority of the US residents in the sample have attained a bachelor's degree or higher (more than 50%), we need to find the probability that the proportion of individuals with a bachelor's degree or higher exceeds 0.5.
To calculate this probability, we need to convert it into a z-score. The z-score formula is given by z = (x - μ) / σ, where x is the cutoff value (0.5), μ is the mean of the sampling distribution (p), and σ is the standard deviation of the sampling distribution (sqrt(p(1-p)/n)).
Once we have the z-score, we can use a standard normal distribution table or a calculator to find the probability associated with that z-score. This probability represents the likelihood of observing a majority of individuals with a bachelor's degree or higher in the sample.
Please note that in order to perform the calculations and provide a specific probability value, we would need to know the actual value of p, which represents the proportion of US residents over the age of 25 who have attained a bachelor's degree or higher. Without that information, we can only provide the general approach to calculating the probability using the sampling distribution.
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Reflect the figure across the line y=x
N goes one space away from the line if you reflect over the x axis.
M is three spaces away from the line.
A is two spaces..
and the last letter (which I can't see) is 5 spaces away.
SLook at point in the coordinate grid.If a line contains both points and the origin, which point would the line also contain? *(2 points)DS(12,8)(14,7)(15,9)(20, 12)5tvAle--AR
the point which will fall in the line is (14, 7)
Explanation:
The coordinates o f S = (2, 1)
When we draw a line from the origin (0, 0) touching the point S, we will see the next point will be (4, 2). Followed by (6, 3).
So when we look at the trend, we see that the x axis is the double of the y axis:
(2y, y) = (x, y)
(2,1 ) , (4, 2), (6, 3)
From the above, we can say the point which will fall in the line will follow that trend:
When we check the options, the only point with that trend is (14, 7).
This because (2(7), 7) = (2y, y)
Hence, the point which will fall in the line is (14, 7)
Given the diagram below were line M is parallel to line n, find the measure of the angle marked with an X
HELP ME PLEASEEEE I REALLY NEED TO PASS TO GET INTO A HONORS CLASS.
Answer: 61 degrees
Step-by-step explanation:
What is the product of 4 square root 6 and 7 square root 18 in simplest radical form
Answer:
28√108
Step-by-step explanation:
4√6 * 7√18
28√108
Thank You
Hope u understand
Please mark as brainliest
I need help on as much as possible please JUST FOR ALL OF PART 1 - ANGLES! Thank-you! It’s an assignment not a quiz.
Solution
Question 1.
\(\begin{gathered} \text{ since }\pi\text{ rad }=180^0 \\ \\ \Rightarrow65^0=\frac{65^0}{180^0}\pi\text{ rad} \\ \\ \Rightarrow65^0=\frac{13}{36}\text{ }\pi\text{ rad} \end{gathered}\)Question 2.
\(\begin{gathered} \text{ since }\pi\text{ rad }=180^0 \\ \\ \Rightarrow\frac{4}{5}\pi\text{ rad }=\frac{4}{5}\times180^0=144^0 \\ \\ \Rightarrow\frac{4}{5}\pi\text{ rad }=144^0 \end{gathered}\)Question 3.
Idea: The reference angle is the smallest possible angle made by the terminal side of the given angle with the x-axis
For second quadrant, the corresponding angle is 180 - x => 180 - 81 = 99
For third quadrant, the corresponding angle is 180 + x => 180 + 81 = 261
For fourth quadrant, corresponding angle is 360 - x => 360 - 81 = 279
Hence, the other 3 parameters are, 99, 261, and 279
Question 4.
since 320 falls in the fourth quadrant, its reference angle is just 360 - 320 = 40
Therefore, its reference angle is 40 degrees.
\(64y + 6x = \)
\(\longrightarrow{\blue{ 2 \: ( \: 32 \: y + 3 \: x \: )}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\(64 \: y + 6 \: x\)
\( = 2 \: ( \: 32 \: y + 3 \: x \: )\)
\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)
Answer:
2 ( 32y + 3 x)
Step-by-step explanation:
64 y + 6x
factor out 2 from the equation
2 ( 32y + 3 x)
Answer this question to get marked as barinliest!!!!!
Please see the image below(math)
Answer:
21
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
AD AH
----- = ---------
AB AH +y
3 9
---- = ------
10 9+y
Using cross products:
3(9+y) = 9*10
27+3y = 90
3y = 90-27
3y =63
y = 63/3
y = 21
Answer:
y = 21
Step-by-step explanation:
According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.
Therefore, according to the Side Splitter Theorem:
\(\boxed{\sf AD : DB = AH : HC}\)
From inspection of the given triangle, the lengths of the line segments are:
AD = 3DB = 7AH = 9HC = yTo find the value of y, substitute the given line segment lengths into the proportion and solve for y:
\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)
Therefore, the value of y is 21.
Jasmine is baking and selling cupcakes for $15 per dozen. She would like to make more than $120 in cupcake sales. Which number line below represents the solutions to this situation?
You are adding two rational numbers with
lifferent signs. How can you tell if the sum will
e positive, negative, or zero?
When adding two rational numbers with different signs, you can determine the sign of the sum by comparing the magnitudes of the numbers.
• If the absolute value of the first number is greater than the absolute value of the second number, the sum will have the same sign as the first number.
• If the absolute value of the second number is greater than the absolute value of the first number, the sum will have the same sign as the second number.
To determine whether the sum will be positive or negative, you can also compare the signs of the numbers:
• If one number is positive and the other is negative, the sum will be negative if the positive number is smaller than the negative number and positive if it is greater.
• If the numbers have different signs, the sum will be positive if the numbers have opposite signs and negative if they have the same sign.
• If the sum of the two rational numbers is zero, it means that the two numbers cancel each other out, which happens when the absolute value of the first number is equal to the absolute value of the second number with opposite signs.
It's important to note that if you are adding two rational numbers with different signs, you also have to keep in mind that the order of the numbers matters and you might get different results depending on the order.
I hope this helps :)
Write this fraction in an equation using words: 2/3
Answer:
two-thirds plus five=five and two-thirds
Step-by-step explanation:
7. Find the number of vertices of a polyhedron
having 10 faces and 12 edges
Answer:
4
Step-by-step explanation:
Using Euler's rule for polyhedra
F + V - E = 2 ( F - faces, V- vertices, E- edges )
10 + V - 12 = 2
V - 2 = 2 ( add 2 to both sides )
V = 4
we are interested in measuring the effect of x on y, but we worry that x is correlated with something in the error term. a good instrumental variable is one that group of answer choices is correlated with y, but not with x. is correlated with the error, but not with x right answer: is correlated with x, but not with the error is correlated with y, but not with the error
The correct answer is: A good instrumental variable is one that is correlated with x, but not with the error.
In order to establish causality between x and y, we need to address any potential endogeneity issue where x is correlated with the error term. Instrumental variables (IVs) are used in econometrics to address endogeneity by finding variables that satisfy certain criteria.
To be a valid instrument, the IV should be correlated with the explanatory variable x, as this ensures that it can capture the relationship between x and y. However, it should not be correlated with the error term, as this would introduce bias and invalidate the instrumental variable estimation.
Therefore, a good instrumental variable is one that is correlated with x, but not with the error term. This allows us to isolate the effect of x on y and obtain consistent estimates of the causal relationship between the two variables.
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Renata abrió su alcancía y le dijo a Raúl: “Tú tienes muy poco dinero ahorrado, la diferencia entre mi dinero y el tuyo es de $ 490.00 ”. Raúl lecontestó: “Pero si lo juntamos son $ 560.00” ¿Cuánto dinero tiene Renata y cuánto dinero tiene Raúl?
A university professor does not believe that there is really a difference between the GPA of male and female scholarship athletes, so he looks into how the sample was collected. His investigation shows that the study was given to all of the athletes on the basketball teams exclusively. Based on this information, should the university administration trust the results from this study?
a. Yes, because the results were significant
b. Yes, because a large enough sample was taken
c. No, because not every scholarship athlete part of the study
d. No, because the study was not taken from a random sample of scholarship athletes
Answer: d. No, because the study was not taken from a random sample of scholarship athletes.
Step-by-step explanation:
Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.
8. If 1.2% of the population has a certain disease, compute the probability that exactly three of two hundred randomly chosen individuals will have the disease.
The probability that exactly three out of two hundred randomly chosen individuals will have the disease is approximately 0.1668 or 16.68%.
To solve this problem, we need to use the binomial distribution formula. The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant.
In this case, the probability of success is 1.2%, which is equivalent to 0.012. The number of trials is 200, and we want to know the probability of exactly three successes.
The formula for the probability of exactly k successes in n trials is:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
where "n choose k" represents the number of ways to choose k items from a set of n items, and p is the probability of success.
Using this formula and plugging in the values we have, we get:
P(3) = (200 choose 3) * 0.012^3 * (1-0.012)^(200-3)
P(3) = (200! / (3! * 197!)) * 0.012^3 * 0.988^197
P(3) = 0.1668
Therefore, the probability that exactly three out of two hundred randomly chosen individuals will have the disease is approximately 0.1668 or 16.68%. This means that if we were to repeat this experiment many times, we would expect to see about 16.68% of the time that exactly three people out of two hundred have the disease.
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Any Simple way to learn mathematics formula ?
Answer:
I'll be honest if you don't understand your teacher just try looking it up on yt. Or like Kahn Academy. And if neither of that works just ask here, or maybe some older friends or siblings.
7th grade math help me pleaseeeeee
Answer:
No, it is not the same.
Step-by-step explanation:
1/4 * 8y = 2y
1/4 * -12 = -3
2y - 3 is not the same as 2y - 12
Answer:
No, because once you factor the 1/4 on the first equation you will get -3, not -12 making them not equalivent.
Step-by-step explanation:
X = {y: y = 10, y E even numbers }
Answer:
X=2,4,6,8,10
Step-by-step explanation:
i think this answer is correct
cool
Roberto compró 6 cd's y 10 revistas en $ 900.00 pesos; en la misma tienda su amiga María compró 10 cd's y 4
revistas en $ 1.220.00 pesos. ¿ Cual es el sistema de ecuaciones con dos incognitas que representa el problema?
The system of linear equation that represent this problem is
6x + 10y = 900
10x + 4y = 1220
What is the system of equation?Let's represent the number of CDs Roberto bought as x and the number of magazines as y
The problem states the following information:
Using the variables; x and y as given;
1. Roberto bought 6 CDs and 10 magazines for $900.00 pesos. This can be represented as the equation:
6x + 10y = 900
2. María bought 10 CDs and 4 magazines for $1,220.00 pesos. This can be represented as the equation:
10x + 4y = 1220
So, the system of equations representing the problem is:
6x + 10y = 900
10x + 4y = 1220
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Translation: Roberto bought 6 cd's and 10 magazines for $900.00 pesos; In the same store, her friend María bought 10 CDs and 4
magazines at $1,220.00 pesos. What is the system of equations with two unknowns that represents the problem?
What is log152³ rewritten using the power property?
O log155
O log156
O 2log153
O 3log152
Answer:
3log152
Step-by-step explanation:
using the rule of logarithms
log\(x^{n}\) = nlogx
then
log152³
= 3log152
HII GUYS DON'T WORRY I ONLY HAVE 3 MORE QUESTIONS LEFT I'M SO SORRY FOR BOTHERING YOU GUYS I'M SORRY THANK YOU FOR THE PEOPLE WHO HELP ME. <3
Answer:
Hello! answer: 96
Step-by-step explanation:
I will find the area of each face separately and add them up so... for the triangles those would both be 6. the rectangle on the bottom would be 28 and the rectangle standing up would be 21 now for the triangle on top that would be 35. now we would just add these up so...
6 + 6 + 28 + 21 + 35 = 96 Therefore the surface area is 96 Hope that helps!
Twenty-four added by a certain number y is not less than a number z.
Answer:
it'll be y+24>zStep-by-step explanation:
i hope it's help
AV
Can the HL Congruence
Property be used?
Yes
O No
O Yes
O No
Answer:
yes! I hope this helps and I hope it's correct I'm and pretty sure it is.
The model represents the equation 3x - 2 < 4 . < What is the solution set for this inequality? x < - 3 FX GX x < - 2 H x < 6 3 x < 2
Answer:
x<2
Step-by-step explanation:
The given inequality is :
3x-2<4
We need to find the solution of the inequality.
Add 2 to both sides of inequality.
3x-2+2<4+2
3x<6
Dividing both sides by 3.
x<2
Hence, the solution of the given inequality is x<2.