The sum of the measures of angle A and angle B is 90 degrees. To determine the value of x, we need to set up an equation based on the given information.
Angle A is given as (5x + 10) degrees, and angle B is given as 3x degrees.
According to the problem, the sum of angle A and angle B is 90 degrees. We can write this as an equation:
(5x + 10) + 3x = 90
Combining like terms, we have:
8x + 10 = 90
Subtracting 10 from both sides:
8x = 80
Dividing both sides by 8:
x = 10
Therefore, the value of x is 10.
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Please show work she’s a serious teacher
In △GHJ, K(8,6) is the midpoint of GH, L(2.2) is the midpoint of HJ, and M(10,4) is the midpoint of GJ. Find the coordinates of G, H, and J
Answer:
I don't know I just need points sorry
Step-by-step explanation:
Determine the mean and standard deviation of the variable X in each of the following binomial distributions. a. n=5 and π=0.10 b. n=3 and π=0.40 c. n=5 and r=0.50 d. n=3 and π=0.80 a. When n=5 and π=0.10, determine the mean. μ= (Type an integer or a decimal. Do not round.)
The mean (μ) for the given binomial distribution is 0.50.
To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:
a. When n = 5 and π = 0.10:
μ = 5 * 0.10
= 0.50
For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.
b. When n = 3 and π = 0.40:
μ = 3 * 0.40
= 1.20
In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.
c. When n = 5 and π = 0.50:
μ = 5 * 0.50
= 2.50
For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.
d. When n = 3 and π = 0.80:
μ = 3 * 0.80
= 2.40
In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.
The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.
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Georgie buys a pack of chocolate which has 18 small chocolate bars. She ate three bars in the morning, Later in the
day, Georgie's brother ate three fifth of the chocolates bar that were left, what fraction of the chocolate bars is left in
the packet?
What scale factor takes hexagon J to hexagon K?
Answer:
Step-by-step explanation:
boody boody
Write out the five number summary for each data set.
I'll do problem 1 to get you started
First sort the values from smallest to largest and you should end up with this set
{1, 6, 7, 11, 13, 16, 18, 21, 22, 23}
The smallest value is 1 and the largest value is 23, so the min and max are 1 and 23 in that order.
We have ten values in this set. The middle-most number is going to be between the 10/2 = 5th slot and the 6th slot. The numbers 13 and 16 are in the fifth and sixth slots respectively. Average those values to get (13+16)/2 = 29/2 = 14.5
The median is 14.5 which is another name for the second quartile (Q2).
Now split the data set into two halves
L = lower half of values smaller than the median
U = upper half of values larger than the median
In this case,
L = {1, 6, 7, 11, 13}
U = {16, 18, 21, 22, 23}
sets L and U have five items each
Find the median of set L and U to get 7 and 21 respectively. These medians of L and U represent the values of Q1 and Q3 in that order.
Q1 = first quartile = 7
Q3 = third quartile = 21
===================================================
Answer:
The five number summary for problem 1 is
Minimum = 1Q1 = 7Q2 = 14.5 (this is the median)Q3 = 21Maximum = 23Help please what is the answer
Answer:
Area of triangle=
1/2bh
=1/25×9
=22.5
the answer is 22.5
Answer:
B
Step-by-step explanation:
9x5=45
then you do 45 divided by 2= 22.5
you divide because of the line and because its a triangle
im right trust me
plz answer this Solve y+8≥9. Graph the solution.
Answer:
y≥1
Step-by-step explanation:
y+8 ≥ 9
-8 -8
______
y≥1
i hope it makes sense(i tried to make it look like how you would do it on paper)
1. a psychology instructor is interested if amount of time spent studying for an exam (in minutes) can predict the resulting score on the exam (on a scale from 0 to 100). the professor asked 10 students in his statistics class how long (in minutes) they spent studying for their most recent exam. he collected the following data from his class. after scoring the exams, he ran a simple linear regression. what can he conclude?
The professor might consider other factors that could affect student exam scores and design a research study that would eliminate these extraneous factors.
The instructor in psychology is interested in examining whether the amount of time spent studying for an exam can predict the resulting score on the exam. The professor collected data from his class, asked 10 students in his statistics class how long (in minutes) they spent studying for their most recent exam. After scoring the exams, he conducted a simple linear regression.
Now the professor wants to conclude what he has found.Statistics and psychology are two fields that come together to answer many questions about human behavior. Linear regression is a statistical technique that investigates the relationship between two variables, with one variable being dependent (the outcome variable) and the other variable being independent (the predictor variable).
The professor concluded that there is a positive relationship between the amount of time spent studying and exam scores. That is, the more time a student spends studying, the better his/her exam score would be. However, the professor could not definitively determine that the amount of time a student spends studying is the only factor that determines his/her score.
Other factors, such as motivation, attention, and test-taking skills, may also play a role in a student's performance on an exam. Therefore, the professor might consider other factors that could affect student exam scores and design a research study that would eliminate these extraneous factors.
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A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
Answer: C (The Last One)
Step-by-step explanation:
The answers correct because, If the range and median is 13 that means that the highest and lowest point equal 13 and the middle/the line in the graphs should be on 13. A doesn't have the line/median on 13 so it is not that answer. But B and C have the line/median on the line so we just have to check the range. The range of B is: 9, The range of C is: 13. So based off that we know that the answer is C.
Hope This Helps!
Write the number 0.000 000 7 in standard form.
What statement describes a key feature of function G if g x equals x - 7
a. Y-intercept at 0, negative 7
b. Range of y < -7
c. Domain of x > -7
d. Horizontal asymptotic of y=-7
The statement that describes a key feature of function g if \(g(x)=e^x-7\) is Horizontal asymptote of y= -7.
What is a horizontal asymptote?A horizontal line that is not a part of a function's graph but is essential because it directs the graph's x values is known as a horizontal asymptote.
A horizontal line that a function's graph appears to coincide with but does not actually do so is said to be its horizontal asymptote.
A line that is asymptotically sloped, vertical, or both has the equation x = a, y = a, or y = ax + b
In this instance, the declaration that enumerates the primary property of the function g if g(x) = \(e^x\) - 7 is that the horizontal asymptote of y = -7.
This can be seen from the equation given.
Therefore option (d) is correct
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apply the pauli exclusion principle to determine the number of electrons that occupy the quantum states described by n=3 l=2,
The number of electrons that occupy the quantum states described by n=3 l=2 is 10 electrons.
To apply the Pauli Exclusion Principle to determine the number of electrons that occupy the quantum states described by n=3 and l=2, follow these steps:
1. Identify the given quantum numbers: n=3 and l=2. This corresponds to the 3d subshell.
2. Determine the possible values of the magnetic quantum number (m_l). Since l=2, the m_l values can range from -2 to 2, which include -2, -1, 0, 1, and 2.
3. Apply the Pauli Exclusion Principle, which states that no two electrons in an atom can have the same set of quantum numbers. Since the only remaining quantum number is the electron spin (m_s), it can have two possible values: +1/2 and -1/2.
4. Calculate the total number of electrons that can occupy the given quantum states. For each of the 5 possible m_l values, there are 2 possible m_s values. So, the number of electrons that can occupy the quantum states described by n=3 and l=2 is 5 (m_l values) x 2 (m_s values) = 10 electrons.
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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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jose bought 9 movie tickets for a total of $54. Adult tickets cost $8 each and child tickets
cost $3.50 each. How many adult tickets did he buy?
well i cant tell because you did not tell me how many kid tickets he bought
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at miles per hour. The eastbound train travels at miles per hour. How long will it take for the two trains to be miles apart
Answer:
one hour
Step-by-step explanation:
if they are going the same speed going differnet directions they will be 2 miles apart after one hour
Let N be a normal subgroup of a finite group G. Prove that the order of the group element gN in G/N divides the order of g.
The order of\($gN$\) divides \($k$\), as required.
Let \($g\in G$\) be an arbitrary element and let \($k$\) be the order of \($g$\), that is, \($g^k=e_G$\), the identity element of \($G$\). We want to show that the order of \($gN$\) in \($G/N$\) divides \($k$\).
Consider the coset \($g^iN\in G/N$\) for some positive integer \($i$\). We want to find the smallest positive integer \($j$\) such that \($(gN)^j = g^jN = g^iN$\). Since \($g^iN = g^k(g^i)^kN = g^kN$\), we have \($(gN)^j = g^{jk}N = g^iN$\), which implies \($g^{jk-i}\in N$\).
Since \($N$\) is a normal subgroup of\($G$\), we have \($g^{jk-i}\in N$\) if and only if \($g^{jk-i}g^j=g^{jk}\in N$\). This shows that \($g^{jk}$\) is in the kernel of the canonical homomorphism \($\pi:G\to G/N$\), so\($k$\) is a multiple of the order of\($gN$\) in \($G/N$\).
Therefore, the order of \($gN$\) divides \($k$\), as required.
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Need this very badly giving 10 points
Answer:
A is your answer
Step-by-step explanation:
width= 9 cm
length= 5 cm
height= 20cm
formula: 2(lw+lh+hw)
2(5*9+ 5*20+ 20*9)
2(45+ 100+ 180)
2(325)= 650 cm
Please help me fast.
Number of Folds | Style 1 Number of Sections | Style 2 Number of Sections:
1 | 2 | 22 | 4 | 43 | 6 | 84 | 8 | 165 | 10 | 32What observations are made from the table?From the table, the pattern relating the number of folds to the number of sections for Style 1 (accordion-style) is that the number of sections doubles with each additional fold. In other words, the number of sections is equal to 2 raised to the power of the number of folds. For Style 2 (half-folds), the pattern is less clear, but we can observe that the number of sections increases more rapidly with each additional fold than it does for Style 1. This is likely due to the fact that each fold in Style 2 creates two new sections, whereas in Style 1, each fold only creates one new section.
The two different folded styles of paper produce different results because they create different shapes and arrangements of rectangular sections when folded. In Style 1 (accordion-style), each fold creates a single new section that is added to the end of the folded paper. The result is a long, thin strip of paper with rectangular sections stacked on top of each other. In contrast, Style 2 (half-folds) creates a zig-zag pattern of rectangular sections that are stacked on top of each other. Each fold in Style 2 creates two new rectangular sections, which allows the number of sections to increase more rapidly than in Style 1. This difference in the way the paper is folded and the resulting shapes and arrangements of rectangular sections leads to different patterns in the number of sections as the number of folds increases.
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what is the area?
write your answer as a fraction or as a whole or mixed number
\( \underline \mathcal \pink{ GIVEN}\)
Base = 2 9/10 kmHeight = 4 6/7 km\( \underline \mathcal \purple{ TO \: FIND}\)
Area of the triangle\( \underline \mathcal \blue{CALCULATION}\)
\( \qquad \tt \leadsto \: area = \frac{1}{2} \times base \times height\)
\( \qquad \bf \nrightarrow \: area = \frac{1}{ \cancel2} \times \cancel2 \frac{9}{10} \times 4 \frac{6}{7} \)
\( \qquad \bf \nrightarrow \: area = \frac{9}{ \cancel{10}} \times \cancel4 \frac{6}{7} \)
\( \qquad \bf \nrightarrow \: area = \frac{9}{ 5} \times 2 \frac{6}{7} \)
\( \qquad \bf \nrightarrow \: area = \frac{108}{ 35} \approx3.08 \: {km}^{2} \)
Thus, The area of the triangle is 3.08 kilometers...~
answer the following! this is science!
Please Helppp Ill give brainlest
Answer:
Your answer is 15
Step-by-step explanation:
12 x 3 = 36
So..
5 x 3 = 15
What u do to the bottom you do to the top.
The owner of a shop wants to mix cashews and pecans to make 8 kg of mixed nuts worth $7. 25 per kg. If the price of cashews is $8. 00 per kg, and the price of pecans is $7. 00 per kg, how many kilograms of each should he use?
The owner should use 2 kg of cashews and 6 kg of pecans to make 8 kg of mixed nuts worth $7.25 per kg.
Let's assume the owner uses x kg of cashews and (8-x) kg of pecans.
The cost of x kg of cashews at $8.00 per kg is 8x dollars.
The cost of (8-x) kg of pecans at $7.00 per kg is 7(8-x) dollars.
The total cost of the mixed nuts is 8x + 7(8-x) = 8x + 56 - 7x = x + 56 dollars.
Since the mixed nuts are worth $7.25 per kg, the total value of the mixed nuts is 8(7.25) = 58 dollars.
Therefore, we have the equation:
x + 56 = 58
Solving for x, we get:
x = 2
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A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
Answer:
(9, 13)
Step-by-step explanation:
Answer: (9,13)
Step-by-step explanation:
! got a 100% so I know the answers right
a fever is generally considered to be a body temperature greater than 100F . your friend has a temperature of 37C does your friend have a fever? show steps and explain your answer
How do you write thirteen and seventy-two hundredths as a decimal number?
Answer:
13.72
Step-by-step explanation:
Stop the Virus percent Escape room
URGENT
Answer: Convert
Step-by-step explanation:
It just it, I don`t want to explain.
PLS HELP! WILL GIVE BRAINLIEST! 70 PTS! pls only answer if you know
Completing the Square
Solve the equation by completing the square. Show your work.
x2 – 30x = –125
Step 1: Add to both sides of the equation. (2 points)
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
Answer:
25, 5
Step-by-step explanation:
the price of an item is $90.after the sales tax is added, the final cost is &94.5. which percent of sales tax has been applied to the item?
The percent of sales tax that has been applied to the item is 5%.
What is sales tax?A sales tax is a consumption tax imposed on the sale of items. It is often applied to the selling price of an item.
Here, the original cost is $90 and the final cost is $94.5.
Let, the sales tax rate is r%.
Calculate the percentage of sales tax.
Final price after sales tax = Selling Price×(1 + Rate of sales tax/100)
94.5 = 90(1+r/100)
94.5 = 90 + 0.9r
0.9r = 4.5
r = 5
Therefore, the obtained answer is 5%.
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calculate the range of the following numbers: 11,13,15,9,19,12,21,14,10,15,16,8,11,11,10
Answer:
it should be 13
Step-by-step explanation:
Answer:
The Range is 13
Step-by-step explanation:
Mean (Average): 13
Median: 12
Range:13
Largest: 21
Smallest: 8
Sum: 195
Count: 15
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