Since the triangles are similar the value of angles is preserved, thus the measure of angle P is 86 degrees.
I don't understand this can someone help me? (Please hurry)
The Number line is attached below,
What is Number line?The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.
Given:
Rebecca points in a video game.
let Rebecca point '0' at the 4th level.
After turn one, she will have 0 points.
After turn 2 she has 8 plants.
After turn 2 she has = 9-1 = 7 plants
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The graph represents the population of a town y, in hundreds of thousands of people, where x is the number of years since 1980. What is the annual growth rate written as a decimal?
The annual growth rate written as a decimal is 0.97.
What is an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x) = a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, or growth rate.Based on the graph, we would calculate the value of a and b as follows;
\(f(x) = a(b)^x\)
0.9 = a(b)⁰
a = 0.9
Next, we would determine value of b as follows;
0.927 = 0.9(b)⁻¹
0.927 = 0.9/b
b = 0.9/0.927
b = 0.9709 ≈ 0.97
Therefore, the required exponential function is given by;
\(f(x) = y = 0.9(0.97)^x\)
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FOR ∑ n=1
[infinity]
n 3
1
The sum to infinity of the function is -3/2
Calculating the sum to infinity of the functionfrom the question, we have the following parameters that can be used in our computation:
\(\sum\limits^{\infty}_{1} {3^n} \,\)
From the above sequence, we have
First term, a = 3
Common ratio, r = 3
The sum to infinity of the function is calculated as
Sum = a/(1 - r)
So, we have
Sum = 3/(1 - 3)
Evaluate
Sum = -3/2
Hence, the sum is -3/2
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Question
Calculate the sum to infinity of the function for
\(\sum\limits^{\infty}_{1} {3^n} \,\)
What is the slope of the line passing through the points (1, 3) and (3,9)?
Answer:
3
Step-by-step explanation:
slop formula:
y2-y1
____
x2-x1
y2 is 9 and y1 is 3, so y2-y1 is 6
x2 is 3, x1 is 1, so x2-x1 is 2
6/2=3
Which of the following is not a characteristic of Students' t-distribution? A. The t-distribution has a mean of 1. B. The t-distribution is a symmetric distribution C. The t-distribution depends on degrees of freedom. D. For large samples, the t and z distributions are nearly equivalent.
The correct answer is A. The t-distribution has a mean of 1 is not a characteristic of the Student's t-distribution.
The t-distribution is a symmetrical probability distribution that is extensively utilized to solve hypothesis testing difficulties in statistics. Student's t-distribution has many characteristics; however, one of them is not a characteristic of Student's t-distribution. The characteristic of Student's t-distribution that is not present in its characteristics is; the t-distribution has a mean of 1.
Option A: The t-distribution has a mean of 1 is not true for the Student's t-distribution. The t-distribution's mean is 0. Option B: The t-distribution is a symmetric distribution. Yes, it is a symmetric distribution.
Option C: The t-distribution depends on degrees of freedom. It is a correct statement. The t-distribution depends on degrees of freedom, and the distribution's shape varies based on the degrees of freedom.
Option D: For large samples, the t and z distributions are nearly equivalent. It is true that for large samples, the t and z distributions are nearly identical.
So, the correct answer is A. The t-distribution has a mean of 1 is not a characteristic of the Student's t-distribution.
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The Martin family's truck gets an average of 29 miles per gallon. Predict how many miles they can drive using 4 gallons of gas.
Answer:
119 miles
Step-by-step explanation:
If they can get an average of 29 miles per gallon, you have to multiply 29 by 4, which is 119.
Find the length of the segment connecting (8,10) and (9,3). Round your answer to the nearest tenth.
Hey there! I'm happy to help!
Here's how to find the distance between any two points.
Subtract the x values.
8-9=-1
Square it.
-1²=1
Subtract the y values.
10-3=7
Square it.
7²=49
Add the two numbers you got.
49+1=50
And find the square root.
√50≈7.1.
Have a wonderful day! :D
whats the slope and y-intercept ?
Answer:
Y intercept is 8
Step-by-step explanation:
Not sure about the slope sorry
Group A and Group B were randomly sampled from the same population. A double box plot showing group A on the top and group B on the bottom. For group A, the left end mark is at 1, the left edge of the box is at 3, the line inside the box is at 4, the right edge of the box is at 5, and the right end mark is at 7 point 5. For group B, the left end mark is at 3, the left edge of the box is at 4, the line inside the box is at 5, the right edge of the box is just past 5, and the right end mark is at 7 point 5. Select all the inferences that you can make. Group B has a higher median than Group A. Group B has a higher mean than Group A. Group B has more overall variability than Group A. Group B has a smaller range than Group A. Group A and B have the same maximum value
We can conclude the following about the box plots:
Group A had lower median than group B. Group B has less overall variability because it has a smaller range than group A.What is Median and Range of a Data Set?Median is the middle value which is represented by a vertical line that divides the rectangular box in a box plot.
Median for Group A is smaller than the median of Group B.
Range of a data set is the difference between the maximum value and the minimum value. Range is a measure of variability. The bigger the range, the more the variability and vice versa.
Range of Group A is larger than range of Group B.
Therefore, we can conclude the following about the box plots:
Group A had lower median than group B. Group B has less overall variability because it has a smaller range than group A.Learn more about median and range on:
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find the jacobian of the transformation x=3u, y=2uv and sketch the region g: 3<3u<6, 2<2uv<4
It is a rectangular region with u and v values ranging from 1 to 2.
To find the Jacobian of the transformation x = 3u, y = 2uv, we need to compute the partial derivatives ∂x/∂u, ∂x/∂v, ∂y/∂u, and ∂y/∂v.
Given:
x = 3u
y = 2uv
Calculating the partial derivatives:
∂x/∂u = 3
∂x/∂v = 0 (since x does not depend on v)
∂y/∂u = 2v
∂y/∂v = 2u
Now, we can construct the Jacobian matrix J:
J = [∂x/∂u ∂x/∂v]
[∂y/∂u ∂y/∂v]
Substituting the partial derivatives we calculated earlier:
J = [3 0]
[2v 2u]
Therefore, the Jacobian of the transformation is:
J = [3 0]
[2v 2u]
To sketch the region described by the inequalities g: 3 < 3u < 6, 2 < 2uv < 4, we can consider the ranges of u and v that satisfy these conditions.
From the inequality 3 < 3u < 6, we have:
1 < u < 2
From the inequality 2 < 2uv < 4, we can divide both sides by 2:
1 < uv < 2
Since u and v must both be greater than 1, we can determine the range of v:
1 < v < 2
Now, we can sketch the region in the u-v plane bounded by the conditions:
1 < u < 2
1 < v < 2
It is a rectangular region with u and v values ranging from 1 to 2.
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Find the slope between these two points:
(-5,3) and (4,6)
Answer:
I believe it is m=1/3.
Step-by-step explanation:
Answer:
11 I believe
Step-by-step explanation:
suppose that the mean daily viewing time of television is hours per household. use a normal probability distribution with a standard deviation of hours to answer the following questions about daily television viewing per household.
The probability that a household views television more than 6 hours is approximately 0.0668.
Given that the mean daily viewing time of television is μ = hours per household and the standard deviation is σ = hours per household.
We need to use the normal probability distribution to answer the following questions about daily television viewing per household.
The probability of a household viewing television more than 6 hours can be found using the standard normal distribution as follows:
Z = (x - μ)/σ
We need to find P(x > 6)P(x > 6) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ)
The mean daily viewing time of television is given as μ = 4.8 hours per household, and the standard deviation is given as σ = 0.8 hours per household.
The standardized value of 6 is:
Z = (6 - 4.8) / 0.8 = 1.5
Thus, we need to find the area under the standard normal curve to the right of 1.5 using the standard normal table or technology.P(Z > 1.5) = 0.0668
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Not sure what to do from here.
The proof that shows that ΔABD ≅ ΔCBD by ASA is explained below.
How to Prove that Two Triangles are Congruent by ASA?We can prove that two triangles are congruent to each other by the ASA congruence theorem if we can show that two angles and one included side in one triangle is congruent to two corresponding angles and one corresponding side in the other triangle.
The proof that shows both triangles are congruent is explained below.
Statement Reason
1. AC ⊥ BD; DB bisects ∠ABC 1. Given
2. ∠ADB and ∠CDB are right 2. Definition of perpendicular.
angles, they are congruent.
3. ∠ABD ≅ ∠CBD 3. Definition of bisection
4. BD ≅ BD 4. Reflexive property
5. ΔABD ≅ ΔCBD 5. ASA
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Can anyone help me fast?
Answer:
b=8
Step-by-step explanation:
b²+15²=17²
b²+225=289
b²=289-225
b²=64
b= 8
I hope I helped you^_^
10. Find the slope. Make sure to reduce.
for this farmer to maximize profits (price is $15) he should produce bushels of wheat. question 7 options: 6 9 12 16
Therefore, the farmer should produce 2 bushels of wheat to maximize profits at a price of $15 per bushel.
To determine the number of bushels of wheat that this farmer should produce to maximize profits, we need to consider the relationship between the quantity of wheat produced and the total revenue and total cost associated with each quantity.
The total revenue (TR) is calculated as the price per bushel multiplied by the quantity of wheat produced (Q), which can be expressed as TR = P Q. In this case, the price of wheat is given as $15.
The total cost (TC) is the sum of all costs associated with producing each bushel of wheat. It includes both variable costs (VC), which depend on the quantity produced, and fixed costs (FC), which are independent of the quantity produced. Mathematically, TC = VC Q + FC.
The profit () is the difference between the total revenue and the total cost, which can be written as = TR + TC. To maximize profits, the farmer needs to produce the quantity of wheat that results in the highest profit.
To find this quantity, we can use the concepts of marginal cost and marginal revenue. The marginal cost (MC) is the additional cost of producing one more bushel of wheat, which can be calculated as the change in total cost divided by the change in quantity, or MC = TC/Q. The marginal revenue (MR) is the additional revenue earned by selling one more bushel of wheat, which is equal to the price per bushel, or MR = P.
At the profit-maximizing quantity, the marginal revenue equals the marginal cost, or MR = MC. This is because if MR is greater than MC, the farmer can increase profits by producing more wheat until MR equals MC. Conversely, if MR is less than MC, the farmer can increase profits by producing less wheat until MR equals MC.
To solve for the profit-maximizing quantity, we can set MR = MC and solve for Q. Since MR = P in this case, we have:
P = MC
$15 = ΔTC/ΔQ
To calculate the marginal cost, we need to know the variable cost per bushel of wheat. Let's assume that this cost is constant and equal to $5 per bushel. Then we can write:
MC = ΔTC/ΔQ
MC = (VC × Q + FC) - (VC × (Q - 1) + FC)
MC = VC
MC = $5
Substituting into the equation P = MC, we get:
$15 = $5
ΔTC/ΔQ
Solving for Q, we get:
ΔTC/ΔQ = $15 - $5
ΔTC/ΔQ = $10
Q = TC/VC
Q = FC/VC + ΔTC/ΔQ
Q = 0 + $10/$5
Q = 2
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If profits decrease by 13.8% when the degree of operating
leverage (DOL) is 3.8, then the decrease in sales is:
A) 0.28%
B) 0.52%
C) 3.63%
D) 10%
E) 52.44%
Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.
The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.
Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8
= -13.8% / x Thus, we have: x
= -13.8% / 3.8
= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage
= 13.8 / 3.8
= 3.63% The percentage decrease in sales is 3.63%.
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Isabel is using the TVM Solver on her graphing calculator as shown below to determine how much she has to invest now in a saving account earning compound interest to have 14,200 in a certain number of years. According to what Isabell has entered in the TVM solver, with what frequency will the interest in the savings account be compounded?
Semiannually
Annually
Monthly
Quarterly
which ballon was father from the town at the beginning, and which traveled more quickly.
Is tree an unconnected graph?
No, Tree is not an unconnected graph.
A tree is a type of graph that is used to model relationships between elements in a set.
In graph theory, a tree is defined as an acyclic, connected graph. This means that there are no cycles or loops in the graph, and that every vertex is connected to every other vertex through a unique path.
A tree can be visualized as a set of vertices connected by edges, where each vertex represents an element in the set, and each edge represents a relationship between elements. The root of the tree is the vertex that has no incoming edges, and all other vertices are connected to the root through a path of edges.
In contrast, an unconnected graph is a graph that is not connected, meaning that there are separate, disconnected components in the graph. An unconnected graph can have multiple roots and multiple separate paths between vertices.
Therefore, a tree is not an unconnected graph because a tree must be connected, meaning that there is a path from one vertex to every other vertex.
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WILL MARK BRAINLIEST!!
Answer:
Multi the first two number then divide the last and you’ll get the answer
Step-by-step explanation:
Local authority A has made a study of material being recycled per household following the introduction of a recycling scheme. Information from other local authorities that have introduced similar recycling schemes is that recycling material collected each week per household follows a normal distribution with mean 40kg and standard deviation of 15kg and is independent over households. It is considered reasonable to assume that the information from the other local authorities is applicable to local authority A.a. For a randomly selected household whose recycled material is collected by local authority A calculate the probability that the recycled material collected in a given week is less than 30kg. [4]b. A random sample of 100 households is taken and the sample mean recycled material collected per household is found. Calculate the probability that the sample mean recycled material collected in a given week is less than 30kg. [7]c. The sample mean recycled material of 100 households on a single street is taken and found to be 30kg. Why is this not necessarily overwhelming evidence that the recycling scheme of local authority A is not working as well as for other local authorities?d. To encourage increased recycling performance, local authority A introduces an extensive advertising campaign. Following the campaign, the authority collect a random sample of 1,000 households and find the sample mean recycled material is 41kg. Construct a 95% confidence interval for the mean amount of recycled material per household in local authority A, treating population standard deviation as known as 15kg. Is there statistically significant evidence of increased recycling following the campaign?
The standard deviation is a useful tool in understanding the spread of data and making inferences about the population mean based on sample means.
The standard deviation is a measure of how spread out the data is from the mean.
In this case, the mean recycled material collected per household in other local authorities is 40kg with a standard deviation of 15kg.
In part a, the probability of a randomly selected household recycling less than 30kg in a given week is calculated. In part b, the probability of the sample mean recycled material collected in a given week being less than 30kg for a sample of 100 households is calculated.
In part c, it is explained that finding a sample mean of 30kg for 100 households on a single street does not necessarily mean that the recycling scheme of local authority A is not working.
Finally, in part d, a 95% confidence interval for the mean amount of recycled material per household in local authority A is constructed after an advertising campaign.
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There are 3 red, 3 blue, and 3 yellow balls in a bag. Three balls are chosen without replacement. What is the probability that all three balls are yellow?
72 is the probability that all three balls are yellow.
What does a probability simple definition entail?
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
The possibility of the result of any random event is referred to as probability. To determine the likelihood that any event will occur is the definition of this phrase.
Total number of balls equals 9.
= ⁹c₃
= 9!/(9 - 3)! 3!
= 72
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PLEASE ANSWERTHE QUESTION
Answer:
9. y=-2x+1
10. y=3/2x-2
Step-by-step explanation:
could u vote me brainliest plz? thx :)
Answer:
FREE POINTS!!!
Step-by-step explanation:
A snail travels 1/8 mile in 3/4 hour. The snail's speed is miles per hour.
9514 1404 393
Answer:
1/6 mph
Step-by-step explanation:
To find miles per hour, divide miles by hours.
(1/8 mi)/(3/4 h) = (1/8×4/3) mi/h = 1/6 mi/h
The snail's speed is 1/6 miles per hour.
Answer:
The answer is 1/6
Write the percent as a fraction in simplest form 3.2%
Answer:
4/125
Step-by-step explanation:
Find all angles, 0°
of a degree.
tan^2 theta - 6tan theta + 5 = 0
(can you PLEASE explain how to do this in simple terms I can’t find a helpful video lol)
x = 0.7554, 1.3734, 3.927, and 4.515 Try That And See.
Question 2 20 pts A p-value for correlation which is statistically significant implies the correlation is due to random chance. True O False Question 5 20 pts For each one unit increase in X we expect Y to increase by b1 units, on average. Interpretation of the intercept Interpretation of a residual Interpretation of r-squared Interpretation of the slope
A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.
A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.
Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).
Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.
Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.
Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.
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HELP EASY BRAINLIEST
Find the missing angle.
A.65
B.75
C.70
D.85