Answer:
3n + 5 =60
Step-by-step explanation:
Answer : n=55/3
Drag each tile to the correct box.
Three geometric sequences are given below.
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27,
Order the sequences from least common ratio to greatest common ratio.
Sequence A
Sequence C
Sequence B
Answer:
Sequence B, Sequence A, Sequence C
Step-by-step explanation:
Data obtained from the question include the following:
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27
Next, we shall determine the common ratio of each sequence. This is illustrated below:
Common ratio (r) is simply obtained by dividing the 2nd term (T2) by the 1st term (T1) or by dividing the 3rd term (T3) by the 2nd term (T2). Mathematically, it is expressed as:
r = T2/T1 = T3/T2
For sequence A:
160, 40, 10, 2.5
2nd term (T2) = 40
Ist term (T1) = 160
Common ratio (r) =..?
r = T2/T1
r = 40/160
r = 1/4
r = 0.25
Therefore, the common ratio is 0.25.
For sequence B:
-21, 63, -189, 567
2nd term (T2) = 63
Ist term (T1) = -21
Common ratio (r) =..?
r = T2/T1
r = 63/-21
r = - 3
Therefore, the common ratio is - 3.
For Sequence C:
8, 12, 18, 27
2nd term (T2) = 12
Ist term (T1) = 8
Common ratio (r) =..?
r = T2/T1
r = 12/8
r = 3/2
r = 1.5
Therefore, the common ratio is 1.5.
Summary:
Sequence >>>>> Common ratio
A >>>>>>>>>>>>> 0.25
B >>>>>>>>>>>>> - 3
C >>>>>>>>>>>>> 1.5
From the above illustration,
Ordering the sequence from least to greatest common ratio, we have:
Sequence B, Sequence A, Sequence C.
5. The abandoned church has a quantity of (13x + 21) ghosts living there and the sharpening shop has
(5x + 75). How many ghosts live in the abandoned church AND the sharpening shop.
Answer:
18x + 96
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Find the product of - 1.3 and 2.12 ?
Answer:
The answer is (-2.756)
Step-by-step explanation:
(-1.3) × (2.12) = -2.756
Thus, The product of (-1.3) and 2.12 is (-2.756).
-TheUnknownScientist 72
the sum of 3 and twice a number is 33
hello
to solve this question, we should let the unknown number be represented by x
\(\begin{gathered} x+2x=33 \\ 3x=33 \\ \text{divide both sides by the coefficient of x} \\ \frac{3x}{3}=\frac{33}{3} \\ x=11 \end{gathered}\)the first number (x) is equal to 11, we can find the other number.
\(2x=2\times11=22\)from the calculations above, the numbers are 11 and 22
need help will give brainliest and 5 stars
Answer:
(-2, -2)
Step-by-step explanation:
You have to find the lowest point of the graph. That would be 2 to the left of the origin and 2 down. Note that the scale on the graph differs for the x- and y-axis.
You perform a Chi-Square test and obtain a p-value lower than 0.01. What does that mean?
Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.
If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.
The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.
In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.
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Please help me with this
Since M is the centroid of triangle ΔGHI, so KI = 10
What is the centroid of a triangle?The centroid of a triangle is the point at which the three medians of the triangle intersect.
In triangle ΔGHI, M is the centroid of the triangle. If HI = 20, we need to find KI. We proceed as follows.
We know that M is the centroid of the triangle and is the center point where the three medians of the triangle intersect.
Now, GK is a median which passes through HI at K.
Since GK is a median, this implies that HK = KI.
Also, HK + KI = HI
So, since HK = KI, we have that
HK + KI = HI
KI + KI = HI
2KI = HI
KI = HI/2
Given that HI = 20, substituting this into the equation, we have that
KI = HI/2
= 20/2
= 10
So, KI = 10
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Is this statement always true?A cross section parallel to the base of a right rectangular prism is a square
Answer:
Step-by-step explanation:
No, it's not always true
Find the range of the given data ?
Answer:
16
Step-by-step explanation:
2 is the smallest number and 8 is the largest. To find range you have to subtract the smallest number from the largest. 18-2=16
Hi I hope you have a great day..... Can you please answer this question it would make me happy. :)
Answer:
The answer is 11/20.
A company recorded 2 days of accrued salaries of $2,200 for its employees on January 31. On February 9, it paid its employees $8,600 for these accrued salaries and for other salaries earned through February 9. Assuming the company does not prepare reversing entries, the January 31 and February 9 journal entries are:
35. (Figure 9-2: Shrimp Market) If the government imposes a quota limiting sales of shrimp to 250
pounds, it would have the same effect as a price
of
A) floor; $17.50
B) floor; $10
C) ceiling; $15
D) ceiling; $5
the quota rent per pound is: $17.50.
Simplify. Express your answer using positive exponents. m9m4
Answer:
\( {m}^{9} {m}^{4} = {m}^{9 + 4} = {m}^{13} \)
with which measurement procedure is the target behavior recorded if it occurs at any point within the scoring interval?
If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.
Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.
Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.
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Enter the mixed number 2 35 100 in decimal form.
The average driving distance (yards) and driving accuracy (percent of drives that land in the fairway) for 8 golfers are recorded in the table to the right. Complete parts a through e below.
Player Distance (yards) Accuracy (%)
a. 316.4 46.2
b. 303.8 56.9
c. 310.7 51.8
d. 312.2 53.2
e. 295.5 61.8
f. 290.8 66.
To complete parts a through, we would need the table that includes the distance (yards) and accuracy (%) values for players a through e. However, only the information for players f and g is provided in the question.
Without the values for players a through e, we cannot calculate or analyze the average driving distance or accuracy for those players. To answer the question accurately, please provide the missing data for players a through e so that we can complete parts a through e and provide a comprehensive analysis of the average driving distance and accuracy for all eight golfers.
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Describe the relationship between the point D(6, 9) and the point A(8, 12) in terms of dilations
The Relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.
The relationship between the points D(6, 9) and A(8, 12) can be described in terms of dilations. In mathematics, a dilation is a transformation that changes the size of an object while keeping its shape intact. It involves scaling the object by a certain factor, either enlarging or reducing it.
To understand the relationship between D and A, we can calculate the dilation factor. The dilation factor, denoted by 'k', is the ratio of the corresponding side lengths or distances between the pre-image (original object) and the image (transformed object).
The dilation factor between D(6, 9) and A(8, 12):
First, we need to find the change in x-coordinates and y-coordinates:
Δx = 8 - 6 = 2
Δy = 12 - 9 = 3
Next, we calculate the dilation factor:
k = Δy / Δx = 3 / 2 = 1.5
The dilation factor of 1.5 indicates that the image point A is 1.5 times as far from the origin (point D) compared to the pre-image. This means that A is located at a greater distance from the origin than D, both horizontally and vertically.
Moreover, since the dilation factor is positive, the dilation is an enlargement. This means that A is enlarged with respect to D. The ratio of the corresponding side lengths will also be 1.5.
the relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.
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find the sum and express it in simplest form (-3x^3+4x^2+2) + (9x^3
Answer: To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x.
The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own.
Type ^ for exponents like x^2 for "x squared". Here is an example:
Step-by-step explanation:
don't know if this will help but I hope s
The net of a square pyramid is shown in the diagram. What is the total surface area of the square pyramid in square inches? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
208
Step-by-step explanation:
I need help please help me
Answer:I cant see the photo
Step-by-step explanation:
Find the difference.
2 1/6 - 1 3/6
1/6
3/6
4/6
1 4/6
Answer:
The difference is 4/6
2 1/6 - 1 3/6 = 4/6
The formula for distance traveled d is d=rt, where r is the average speed of the object and t is time traveled. If an object travels 30 meters in 20 seconds, what is its speed
Answer:
Step-by-step explanation:
Distance formula:
d = rt
where d = distance, r = average speed and t = time travelled.
They told us that an object travels 30 meters in 20 seconds.
So we can say d = 30 and t = 20
If you put these values back into the distance formula you get:
d = rt
30 = r times 20
30 = 20 r
So now we want to find what "r" (average speed) is.
Divide both sides by 20.
20 r = 30
r = \(\frac{30}{20}\) = 1.5 meters per second.
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an=(1+3/n)n lim nrightarrow infinity an=
The sequence an = (1 + 3/n)^n converges to 0 as n approaches infinity. Taking the limit of the sequence yields a value of 0. So, the sequence converges to 0.
The sequence is an = (1 + 3/n)^n. To determine whether the sequence converges or diverges, we can take the limit as n approaches infinity.
lim(n→∞) (1 + 3/n)^n
Taking the limit of this expression as n approaches infinity, we have the indeterminate form 1^∞. To resolve this, we can rewrite the expression using the natural logarithm:
lim(n→∞) ln[(1 + 3/n)^n]
Using the properties of logarithms, we can bring the exponent down:
lim(n→∞) n * ln(1 + 3/n)
Now we can evaluate the limit:
lim(n→∞) n * ln(1 + 3/n) = ∞ * ln(1) = ∞ * 0 = 0
Hence, the limit of the sequence an as n approaches infinity is 0. Therefore, the sequence converges to 0.
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For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.Immersive Reader
(1.5 Points)
A )D: {1, -3, -4,}-R: {0, 1, 2, -4}
B) D:{0, 1, 2, 3, 4}- R:{1, -3, -4}
C) D:{0, 1, 2, -4}- R:{1, -3, -4}
D) None of the above
Answer:
C. D:{0, 1, 2, -4}- R:{1, -3, -4}
Step-by-step explanation:
Find from the first principle the derivative of y=sinsquare (3x-5).
Answer:
the answer is x= 3/4 I think
Evaluate the expression shown below and write your answer as a fraction in simplest form .7/10 + 1/20
Answer:
3/4
Step-by-step explanation:
Step 1: find the least common denominator: 14/20+1/20
Step 2: add the two fractions together: 15/20
Step 3: simplify the fraction: 3/4
Hope that helps
In a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the _____ come from a normal distribution.
a. Response Variable
b. Explanatory Variable
c. Observations
d. Errors
To determine whether the errors from the linear regression model are from a normal distribution, examine the normal quantile plot of the residuals.
Calculating the regression equation is the first step in a straightforward linear regression model. The link between the explanatory variable (x) and the response variable is modelled using this equation (y). A linear function of the explanatory variable, an intercept term, and an error term make up the regression equation. The errors or residuals (e), which indicate the difference between the observed and expected values of the response variable, are calculated as the following step. To evaluate the regression model's accuracy, the residuals are crucial. The residuals are then plotted using a normal quantile to see whether it is acceptable to believe that the errors are derived from a normal distribution. Because linear regression models presume that the errors are regularly distributed, this is significant. The residuals' normal quantile plot shows the distribution of the mistakes graphically, making it simpler to determine whether the errors follow a normal distribution. The linear regression model might not be the optimal one to employ if the errors do not follow a normal distribution.
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Which equation represents a line which is parallel to the line
X + 6y = -24?
Answer:
y = -(1/6)x - 6
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
---------------------------
x + 6y = -24
Subtract x from both sides
6y = -x - 24
Divide both sides by 6
y = -(1/6)x - 4
slope = -1/6
-----------------------------
Parallel lines have the same slope
therefor the parallel line is
y = -(1/6)x - 6
320 of 562 randomly selected u.s. adults interviewed said they would not be bothered if the national security agency collected records of personal telephone calls they had made. a button hyperlink to the salt program that reads: use salt. is there sufficient evidence to conclude that a majority of u.s. adults feel this way? test the appropriate hypotheses using a 0.01 significance level
There is enough evidence to suggest p>0.5
What is hypothesis in statistics?
A type of statistical analysis called hypothesis testing involves testing your presumptions regarding a population parameter. It is used to estimate the relationship between 2 statistical variables.
Thus, a hypothesis is a set of possible explanations or resolutions applicable to a situation. In other words, the hypotheses pose different scenarios in which the aim is to explain the origin and eventual resolution of the problem.
Let's discuss few examples of statistical hypothesis from real-life -
A teacher assumes that 60% of his college's students come from lower-middle-class families.A doctor believes that 3D (Diet, Dose, and Discipline) is 90% effective for diabetic patients.We are testing :
H0: p <= 0.5
H1: p > 0.5
Test statistic:
Z = [(364/562) - 0.5] / √[0.5(1-0.5)] / 562
= 7.00
P-value = P(Z>7.00) = 0.0000
Hence, there is enough evidence to suggest p>0.5.
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Consider a sample with six observations of 16, 11, 13, 22, 15, and 19. Compute the z-score for each observation. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.) Sample observations z-score 16 11 13 22 15 19
To compute the z-score for each observation, we need to standardize the data using the formula z = (x - μ) / σ, where x is the individual observation, μ is the mean of the sample, and σ is the standard deviation of the sample.
Given the sample observations: 16, 11, 13, 22, 15, and 19, we can calculate the z-score for each observation as follows:
Calculate the mean (μ) of the sample:
μ = (16 + 11 + 13 + 22 + 15 + 19) / 6 = 16
Calculate the standard deviation (σ) of the sample:
Step 1: Calculate the squared deviations from the mean for each observation:
(16 - 16)², (11 - 16)², (13 - 16)², (22 - 16)², (15 - 16)², (19 - 16)²
0, 25, 9, 36, 1, 9
Step 2: Calculate the variance:
Variance = (0 + 25 + 9 + 36 + 1 + 9) / 6 = 80 / 6 ≈ 13.33
Step 3: Calculate the standard deviation:
σ = √(Variance) = √13.33 ≈ 3.65
Calculate the z-score for each observation:
z = (x - μ) / σ
For 16: z = (16 - 16) / 3.65 = 0 / 3.65 = 0
For 11: z = (11 - 16) / 3.65 = -5 / 3.65 ≈ -1.37
For 13: z = (13 - 16) / 3.65 = -3 / 3.65 ≈ -0.82
For 22: z = (22 - 16) / 3.65 = 6 / 3.65 ≈ 1.64
For 15: z = (15 - 16) / 3.65 = -1 / 3.65 ≈ -0.27
For 19: z = (19 - 16) / 3.65 = 3 / 3.65 ≈ 0.82
The z-scores for the given sample observations are: 0, -1.37, -0.82, 1.64, -0.27, and 0.82.
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