The possible slope of the line is (c) 3
How to determine the possible slope of the lineFrom the question, we have the following parameters that can be used in our computation:
Start position = lower leftOther location = upper right quadrantThis means that the line is ascending from left to right in which case, the slope of the line is positive.
So, the possible values of the slope include the set of numbers greater than 0.
From the options, we have (c) 3
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There is a bag of marbles that contains 4 blue marbles, 3 red marbles, 2 green marbles, and 1 brown marble. If one was picked at random, not replaced, and another was picked, what is the probability of both marbles selected to be blue?
Answer:
2/15
Step-by-step explanation:
4/10 * 3/9 = 12/90 = 2/15
You finally get an allowance! You put $2.00 away in January, $4.00 away in February, $8.00 away in March, $16.00 away in April and followed this savings pattern through to December. How much money do you have in 12 months? *
Answer:
$8190
Step-by-step explanation:
So we know that were putting away $2 each month from our allowance.
Jan-$2
Feb-$4
March-$8
April-$16
Ok so we already put away 4 months of our allowance from 12. So we need 8 more months to count how much.
So lets add: 2 + 4 + 8 + 16=30
Now we need to figure out how much in May and so on.
May- 16x2=32
June-32x2=64
July-64x2=128
August-128 x 2=256
September-256 x 2=512
October-512 x 2=1024
November-1024 x 2=2048
December-2048 x 2=4096
In total to add:
2 + 4 + 8 + 16 + 32 +64 + 128 + 256 + 512 + 1024 + 2048 + 4096 = 8190
Hope this helps :)
The number N of bacteria present in a culture at time t, in hours, obeys the law of exponential growth N(t) = 10000011 a) What is the number of bacteria at t = 0 hours? b) When will the number of bacteria double? Give the exact solution in the simplest form. Do not evaluate.
The number of bacteria will double after 15.93 hours, or approximately 15 hours and 56 minutes.
The given exponential growth equation for N(t) is N(t) = 10000011.
To solve the problems related to it, we need to follow these steps:a) What is the number of bacteria at t = 0 hours?
We need to plug in t = 0 in the given equation of N(t) to find out the number of bacteria at t
= 0 hours.
N(0) = 10000011
= 1
Therefore, the number of bacteria at t = 0 hours is 1.b) When will the number of bacteria double?
Give the exact solution in the simplest form. Do not evaluate.
We know that the formula for the exponential growth function is given by the equation y = abx.
Here, x is the number of units of time passed, a is the initial value of y, b is the growth factor, and y is the final value of the function. We can use this formula to find out the time when the number of bacteria doubles.To find out the time when the number of bacteria doubles,
we can set y = 2 and s
olve for x.2 = abx
Since we are given that
N(t) = 10000011, we can write the above equation as:
2 = 10000011 * bxTaking the natural logarithm of both sides,
ln 2 = ln 10000011 + ln bx
Simplifying,
ln 2 - ln 10000011 = ln b + x ln b
Using a calculator, we get,
ln b = ln 2 - ln 10000011ln b
≈ -20.723
Using the properties of logarithms, we get,
x = [ln 2 - ln 10000011] / ln bSubstituting the value of ln b,
we get,x ≈ 15.93
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What are the x and y coordinates for the center of gravity? dc coordinates demand a (10, 12) 40 b (25, 30) 25 c (8, 15) 30 d (11, 20) 10 e (25, 6) 20
The x-coordinate for the center of gravity is 16.1, and the y-coordinate is 15.4 which is determined using average.
To find the center of gravity (also known as the centroid), we need to calculate the weighted average of the x and y coordinates using the given data points and their respective weights. The weights are represented by the "dc coordinates demand a" value for each data point.
Let's calculate the x-coordinate first:
x-coordinate = (1040 + 2525 + 830 + 1120 + 25*6) / (40 + 25 + 30 + 20 + 6) = 16.1
Now let's calculate the y-coordinate:
y-coordinate = (1240 + 3025 + 1530 + 2011 + 6*25) / (40 + 25 + 30 + 20 + 6) = 15.4
Therefore, the center of gravity is located at approximately (16.1, 15.4) in terms of x and y coordinates.
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Listed in the accompanying data table are student evaluation ratings of courses and professors, where a rating of 5 is for "excellent. " Assume that each sample is a simple random sample obtained from a population with a normal distribution. A. Use the 93 course evaluations to construct a 98% confidence interval estimate of the standard deviation of the population from which the sample was obtained. B. Repeat part (a) using the 93 professor evaluations. C. Compare the results from part (a) and part (b)
The 98% confidence interval of 93 course evaluation the estimation of the population standard deviation is (0.454, 0.681). For 93 professor evaluations, it is (0.318, 0.457). The course evaluations have a wider interval, indicating more variability compared to professor evaluations.
The construction of 98% confidence interval from which the 93 course evaluations were obtained, by using the formula
Confidence interval = (√((n-1)*s²)/√(chi-square upper)-√((n-1)*s²)/√(chi-square lower)),
where n is the sample size, s is the sample standard deviation, and chi-square upper and chi-square lower are the values from the chi-square distribution table with degrees of freedom (df) equal to n-1 and a cumulative probability of 0.99/2 = 0.495.
Using the given data, we have n = 93 and s = 0.56. From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.
putting the values in the formula, we get
Confidence interval = (√((93-1)*0.56²)/√(67.339)-√((93-1)*0.56²)/√(49.645))
Confidence interval = (0.454, 0.681)
Therefore, we are 98% confident that the standard deviation of the population from which the 93 course evaluations were obtained falls within the interval (0.454, 0.681).
To construct a 98% confidence interval estimate of the standard deviation of the population from which the 93 professor evaluations were obtained, we can use the same formula as in above part, but with n = 93 and s = 0.41 (the sample standard deviation for professor evaluations).
From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.
putting the values in the formula, we get
Confidence interval = (√((93-1)*0.41²)/√(67.339)-√((93-1)*0.41²)/√(49.645))
Confidence interval = (0.318, 0.457)
Therefore, we are 98% confident that the standard deviation of the population from which the 93 professor evaluations were obtained falls within the interval (0.318, 0.457).
Comparing the results from other parts, we can see that the confidence interval for the standard deviation of the population from which the course evaluations were obtained is wider than that for the population from which the professor evaluations were obtained. This suggests that there is more variability in the course evaluations than in the professor evaluations.
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A box is filled with black (B), white (W), red (R), green (G), and prink (P) phone cases. A phone case is selected at random. what is the sample space for this experiment? A) S={B,W,R,G,P} B) S={B,W,R} C) S={G,P} D) S={B,R,G,P}
_____are collected from several entities at the same point in time.
a. cross-sectional data
b. time series data
c. random data
d. categorical and quantit
Cross sectional data are collected from several entities at the same point in time.
What is cross-sectional data?In statistics and econometrics, cross-sectional data, often known as a cross section of a research population, is a type of data gathered by watching numerous participants all at once. It's also possible that the analysis disregards variations in time.
You evaluate a data set at a certain point in time when you conduct a cross-sectional data analysis. Cross-sectional data is frequently sourced from surveys and public records. The datasets document observations of various variables at a specific time.
In conclusion, the correct option is A.
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this week
36. Britney practiced the piano a total of 7 hours this week. This is 3 hours
less than she practiced last week. Select the correct labels to complete
the bar diagram that is used to find the number of hours w Britney
practiced last week.
last week, w
3 hours
4 hours
7 hours
10 hours
How many hours did Britney practice the piano last week?
Answer:
10?
Step-by-step explanation:
we know she worked 7 hours this week, and were given the fact that its 3 hours less than last week, so we add the 3 hours to 7 and get 10 hours
Answer:
10
Step-by-step explanation:
3 + 7 = 10 You could also write it 7 + 3 = 10. Or what is the sum of 3 and 7.
Pls brainliest Thx! :D
What is the X-intercept for the following equation
The x-intercept of the equation 70x - 12y = 350 is (5, 0).
How to find x-intercept of an equation?The x-intercept of an equation is where a line crosses the x-axis. The x-intercept of an equation is the value of x when y equals to zero.
Therefore, let's find the x-intercept of the equation as follows:
70x - 12y = 350
Hence,
12y = 70x - 350
Let's substitute y = 0 in the equation
12(0) = 70x - 350
70x = 350
divide both sides by 70
x = 350 / 70
x = 5
Therefore, the x-intercept is (5, 0)
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You can rent skis for $12 plus $5 per hour write an equation to represent what you will pay for skis y, in terms of x, the number of hours.
Answer:
Step-by-step explanation:
For the function whose graph is shown, which is the correct formula for the function?
A. y = |x| – 1
B. y = |x – 1|
C. y = |x| + 1
D. y = |x + 1|
Can anyone help? I have no idea how to do this
if 9m away from deep point, m1 also away from 9m to radius line.
so if we draw 2 x 2y to 1 half side of circle, y is connected with 9m, x is connected to 6m.
2 x = 150 sec
if i say 1 x 6m 2x 12m
x =75 sec =12.5 sec
(2x +2y ).2 is whole circle round
12.5*15*2
750 second is answer
is it true?
ten standard 6-sided dice all have different colors. in how many ways can these dice be rolled so the numbers on the faces sum to a total of 20?
The total number of ways can these dice be rolled so the numbers on the faces sum to a total of 20 is 300
The number of ways of partitioning 20 into exactly 10 distinct parts with the 6 numbers {1,2,3,4,5,6} we have:
30 partitions of 20 into ten distinct parts.
The 30 distinct partitions with the sum 20 are:
1.) {2,2,2,2,2,2,2,2,2,2}
2.) {1,2,2,2,2,2,2,2,2,3}
3.) {1,1,2,2,2,2,2,2,3,3}
4.) {1,1,2,2,2,2,2,2,2,4}
5.) {1,1,1,2,2,2,2,3,3,3}
6.) {1,1,1,2,2,2,2,2,3,4}
7.) {1,1,1,2,2,2,2,2,2,5}
8.) {1,1,1,1,2,2,3,3,3,3}
9.) {1,1,1,1,2,2,2,3,3,4}
10.) {1,1,1,1,2,2,2,2,4,4}
11.) {1,1,1,1,2,2,2,2,3,5}
12.) {1,1,1,1,2,2,2,2,2,6}
13.) {1,1,1,1,1,3,3,3,3,3}
14.) {1,1,1,1,1,2,3,3,3,4}
15.) {1,1,1,1,1,2,2,3,4,4}
16.) {1,1,1,1,1,2,2,3,3,5}
17.) {1,1,1,1,1,2,2,2,4,5}
18.) {1,1,1,1,1,2,2,2,3,6}
19.) {1,1,1,1,1,1,3,3,4,4}
20.) {1,1,1,1,1,1,3,3,3,5}
21.) {1,1,1,1,1,1,2,4,4,4}
22.) {1,1,1,1,1,1,2,3,4,5}
23.) {1,1,1,1,1,1,2,3,3,6}
24.) {1,1,1,1,1,1,2,2,5,5}
25.) {1,1,1,1,1,1,2,2,4,6}
26.) {1,1,1,1,1,1,1,4,4,5}
27.) {1,1,1,1,1,1,1,3,5,5}
28.) {1,1,1,1,1,1,1,3,4,6}
29.) {1,1,1,1,1,1,1,2,5,6}
30.) {1,1,1,1,1,1,1,1,6,6}
These pairs can be arranged each in 10 ways.
Therefore, 10× 30
= 300
Hence the number of partitions is 300.
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Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem.
3
5
7
9
Answer:
9
Step-by-step explanation:
Let Benjamin's age be=x.
Let Lucas's age be=y.
Then, x=2y-6
When x=12, 12+6=2y.
18/2=y, y=9
Choole a line m that passes through point, P, and is parallel to linel.
Answer:
c
Step-by-step explanation:
Jill went to the store and bought a kite for $14
and paid 8.5% in sales tax. What is the sales
tax of the kite?
Solve x-5y = 3x+1 for X
Step by Step
Answer:
Step-by-step explanation:
Let's solve for x.
x−5y=3x+1
Step 1: Add -3x to both sides.
x−5y+−3x=3x+1+−3x
−2x−5y=1
Step 2: Add 5y to both sides.
−2x−5y+5y=1+5y
−2x=5y+1
Step 3: Divide both sides by -2.
−2x/ −2 = 5y+1/ −2
x= −5/ 2 y+ −1/ 2
Answer:
x= −5/ 2 y+ −1/ 2
x - 5y = 3x + 1
5y = 2x + 1
y = 2x + 1 / 5
x - 5(2x+1/5) = 2x + 1
x - 2x + 5 = 2x + 1
x + 5 = 2x + 1
4 = x
So lets double check:
4 - 5y = 3(4) + 1
4 - 5y = 12 + 1
4 - 5y = 13
-5y = 9
y = -9/5
4 - 5(-9/5) = 13
4 -(-9) = 13
4 + 9 = 13
13 = 13
This means we are right! X = 4
I hope this helps! :)
simplify x + 4 - 5x - 2.
Kelly can jump rope 555 times in 5 minutes. What is the unit rate?
555 in 5 mins
Number of counts one min =555\5 =111 per min
What is the result when the number 98 is decreased by 50%
the answer would be forty nine
is the integer k divisible by 4 ? (1) 8k is divisible by 16. (2) 9k is divisible by 12.
Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
To determine if the integer k is divisible by 4, let's analyze the given statements:
Statement (1): 8k is divisible by 16.
This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.
8k = 16
k = 2
b)
This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.
9k = 12
k = 12/9
k = 4/3
So , it is not an integer
In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.
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A chord cuts off a 120 degree arc. If the radius of the circle is 26 inches, find the
chord length
Answer:
26sqrt(3)
Step-by-step explanation:
You end up with two 30-60-90 triangles.
26/2 = 13
2 * 13 * sqrt(3) = 26sqrt(3)
Free 5 points ig here you go have a great day and weekend and happy Valentin's day 1+5=6 yay somebody please get them im getting tired of waiting #song somebody come get her
Answer:
thenk you for the points give me brainlist pleasee
Answer:
love you valentines
Step-by-step explanation:
multiply each sides by what?
-8x(_)=-3(_)
Answer:
-8 × 3 = - 3 × ( 8)
or -21 = -21
Answer:
-21
Step-by-step explanation:
A train journey started at 17 50 and finished at 02 25 the next day.
How long did the train journey take?
Give your answer in hours and minutes
Answer:
8 hours and 35 minutes. (8:35)
Step-by-step explanation:
8 hours and 35 minutes.
515 minutes.
what liner equation is represented by the table (-2,7) (1,4) (3,2) (6,-1)
The linear equation represented by the table (-2,7) (1,4) (3,2) (6,-1) is y = -x + 5. To find the linear equation represented by the table (-2,7) (1,4) (3,2) (6,-1), we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope, which is the change in y over the change in x between any two points. Let's choose the points (1,4) and (3,2):
slope = (y2 - y1) / (x2 - x1)
= (2 - 4) / (3 - 1)
= -2 / 2
= -1
Now that we have the slope, we can plug it in to the slope-intercept form and solve for b using one of the points. Let's use the point (1,4):
4 = (-1)(1) + b
b = 5
So the equation of the line is y = -x + 5.
To check our work, we can plug in the other points and make sure they all satisfy the equation:
-2 = (-1)(-2) + 5 (true)
7 = (-1)(-2) + 5 (true)
2 = (-1)(3) + 5 (true)
-1 = (-1)(6) + 5 (true)
Therefore, the linear equation represented by the table (-2,7) (1,4) (3,2) (6,-1) is y = -x + 5.
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the questionnaire is a carefully constructed measurement instrument. group of answer choices true false
Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.
A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.
Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.
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Create an Equivalent expression for 18^-7*18^5
How do you solve quotients step by step?
We can Long Division method to solve quotients step by step
What is long division method and its steps ?
When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.
We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.
1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.
2. Next, divide it by the divisor, and write the result as the quotient on top.
3. Subtract the outcome from the digit, and then put the difference below.
Step 4: Decrease the dividend's subsequent digit (if present).
Step 5: Carry out Step 4 again.
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Q6: 24 students in a class took an algebra test.
If 18 students passed the test, what percent passed?
Answer:
%
Answer:
25%
Step-by-step explanation:
18/24 passed that reduces 3/4.
So 1/4 didn't pass