Find the slope-intercept form of the line passing
through the point (8,7) and parallel to the line
y = - 2x - 5.
Answers
Answer:
y = -2x + 23.
Step-by-step explanation:
If the line is parallel to
y = -2x - 5,
that means it has the SAME SLOPE. Parallel lines have the same slope, but they could have different y-intercepts.
The slope intercept form is:
y = mx + b.
m = slope.
b = y intercept.
In this case, the slope is -2.
So we know the answer will have a slope of -2.
So we can write:
y = -2x + b.
We just have to finish the answer by replacing "b" with a number.
To find out what "b" is, we plug in the point (8,7).
To plug this point in, we replace "x" with 8 and "y" with 7.
7 = -2(8) + b.
7 = -16 + b.
Now to get b by itself to solve for b, we have to add 16 to both sides.
7 + 16 = b.
b = 23.
So our final answer is: y = -2x + 23.
Related Questions
if an integer from 3 through 14 is chosen at random, what is the probability that the number chosen is NOT prime
Answers
Answer:
Step-by-step explanation:
7/12
no. of not prime number/ total no. of number
the question is the photo
Answers
Answer:
its A. B. C. D. E.
Step-by-step explanation:
all of it are correct
Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in mineral content of the spines of 47 mothers during three months of breast-feeding.6Here are the data:
Blend Images/Superstock
(a)
The researchers are willing to consider these 47 women as an SRS from the population of all nursing mothers. Suppose that the percent change in this population has standard deviation ? = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribution quite closely. (Don
Answers
To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.
To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.
STEMPLOT OF THE DATAHowever, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.
Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.
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What is the length of segment JK
A. 6
B. 8
C. 9
D. 10
Answers
You have to set up a proportion, i’m going to use LM and DC
i’m going from the biggest quad to smallest quad, while setting up a proportion. 20/15=12/x
cross multiply, getting 20x=180
then divide both sides by 20, getting 9!
PLEASEEEE HELPPP IM BEGGING YOU ITS DUE REALLY SOON PLEASEEEEEE :(
Answers
Answer:
The answer would be A.
Step-by-step explanation:
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There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answers
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
A grocery store sells a bag of 6 oranges for $5.64. How much would it cost for 8
oranges?
Answers
The cost of 8 oranges is $7.52
How to find the cost of 8 oranges ?The first step is to find the cost of one orange
6 oranges cost 5.65
1 orange= 5.64/6
= 0.94
Therefore the cost of 8 oranges can be calculated as follows
= 0.94×8
= 7.52
Hence 8 oranges cost $7.52
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IMPORTANT!!! PLEASE ANSWER IMMEDIATELY!!!
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction.
Answers
=====================================================
Explanation:
Let's say the pool is 4800 gallons. I'm picking this number since 8*6 = 48 and I tacked a few zeros at the end to make the volume a bit more reasonable for a swimming pool. This might be on the low end of the spectrum. It turns out that the actual volume doesn't matter and you can pick whatever favorite number you want.
The pool being 4800 gallons means Anita's rate is 4800/8 = 600 gallons per hour if working alone.
If Chao works alone, then the rate is 4800/6 = 800 gallons per hour.
Their combined rate is 600+800 = 1400 gallons per hour. This assumes neither person slows the other down.
--------------
x = amount of time they work together
1400x = number of gallons cleaned after x hours
1400x = 4800
x = 4800/1400
x = (24*200)/(7*200)
x = 24/7 is the final answer
x = 3.43
It takes about 3.43 hours to clean the pool if they worked together, and if they didn't slow each other down.
The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
Answers
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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now use your solutions from a) – f) to complete the following table. do not focus on the specific case of n=15, p=.40. instead, consider a general n & p.
Answers
As per the probability, the completed table is illustrated below.
A binomial random variable is a discrete random variable that represents the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. The number of trials is denoted by n.
To complete the table, we need to calculate the probability of getting 0, 1, 2, ..., n successes in n trials. This probability can be calculated using the binomial probability formula:
\(P(X = k) = (^n_k) \times p^k \times (1 - p)^{n - k}\)
where X is the binomial random variable, k is the number of successes, (n choose k) is the binomial coefficient, and p is the probability of success in each trial.
We can use this formula to fill in the table for a given value of n and p. The table should have columns for the number of successes (k), the probability of getting k successes (P(X=k)), and the cumulative probability of getting k or fewer successes (P(X<=k)). The cumulative probability can be calculated by summing the probabilities for all values of X less than or equal to k.
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What is the solution set for -2n – 2 > 2?
Answers
Answer:
n < -2
Step-by-step explanation:
-2n – 2 > 2
-2n (– 2 + 2) > 2 + 2
-2n > 4
-2n/-2 > 4/-2
n < -2
true or false. If false,
give an example.
For any real number
n, n2>n.
Answers
Answer:
False
Step-by-step explanation:
For n = 1, n^2 =1
here n^2 is not greater than n, that means the given statement was false.
Are you supposed to divide in this question?
Answers
Answer:
x=3 and x=6
Step-by-step explanation:
The answer is attached.
hmm what is 5567x443
Answers
Answer:
2466181 is the answer
Work out the values of A and B in these equivalent ratios.
A: 8:5
9:24: B
Answers
Answer:
A=3
B=15
Step-by-step explanation:
Since these are equivalent ratios, there is a constant scale factor for each number. As shown in the 8 and 24, we find the scale factor to be 24/8=3. This means that the second ratio's numbers are 3x bigger than the corresponding ones in the first ratio. A = 9/3 = 3, and B = 5*3=15
Need HElp Agian first person get brainlsit
Answers
A solution to a system of equations are where the two lines cross over each other.
System A the graph shows one line which means the two lines are on top of each other. This means any point on the lines are a solution so there are infinite number of solutions.
System B, the lines cross at one point is there is only one solution which is at (-3,2)
System C the two lines are parallel to each other and never cross so there are no solutions.
Step-by-step explanation:
(i) Infinite solution
If there is only one line then it is a infinite solution.
(ii) One solution
Both are intersecting each other.
Solving
-x - 1 = x + 5
-x - x = 5 + 1
-2x = 6
x = 6/-2
x = -3
y = -x + 5
y = -3 + 5
y = 2
(iii) No solution
Because they are parallel to each other
Please help me I need help I give brainly:)
Answers
Answer:
i don't know how i can help you
Step-by-step explanation:
How many solutions are there to the inequality x1 + x2 + x3 ≤ 11, where x1, x2, and x3 are nonnegative integers? [Hint: Introduce an auxiliary variable x4 such that x1 + x2 + x3 + x4 = 11.]
Answers
The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.
We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.
We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.
We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:
| ** | * | ****
This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.
We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.
Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
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HI I really need help with this its in the picture
Answers
Explanation:
The blue rectangle has area of 4a^2*6a^2 = 24a^4
The red rectangle has area 4a^2*9a = 36a^3
The green rectangle has area 4a^2*3 = 12a^2
The total area is 24a^4 + 36a^3 + 12a^2
find the error in the calculations below, if there is one:
Answers
The error occurred from line 1 to 2.
When you multiply both sides by a negative number, the inequality sign must switch direction.
Carlos thinks the traffic light to get out of his neighborhood is red more often than green. He decides to collect data to determine the probability of the light being red upon his approach. The graph of his long-run relative frequencies is shown.
Which conclusion can be drawn from this graph?
About half of the time, the traffic light is red when Carlos leaves his neighborhood.
About 63% of the time, the traffic light is red when Carlos leaves his neighborhood.
If the true probability that the traffic light is red when Carlos leaves his neighborhood is 0.63, there would be no variation in the graph.
The probability that the traffic light is red when Carlos leaves his neighborhood cannot be determined from this graph because there is no pattern in a long series of traffic lights.
Answers
Answer:
B.About 63% of the time, the traffic light is red when Carlos leaves his neighborhood.
Step-by-step explanation:
About 63% of the time, the traffic light is red when Carlos leaves his neighborhood.
What is graph?A graph is a diagram that depicts the relationship between two variables, typically measured along one of a pair of axes at right angles.
A graph is a mathematical structure made up of a set of vertices and a set (possibly empty) of lines connecting some pair of vertices.
The graph shows that over a long period of time, the relative frequency of the traffic light turning red is consistently around 0.63.
As a result, the true probability of the traffic light turning red when Carlos leaves his neighbourhood is 0.63. The other options are not supported by the information presented in the question.
Thus, the answer is About 63% of the time, the traffic light is red when Carlos leaves his neighborhood.
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If \( P(B)=0.2, P(A \mid B)=0.9, P\left(B^{\prime}\right)=0.8 \), and \( P\left(A \mid B^{\prime}\right)=0.5 \), find \( P(B \mid A) \). \( P(B \mid A)= \) (Round to three decimal places as needed.)
Answers
P(B∣A) is approximately 0.310, rounded to three decimal places.
To find the probability P(B∣A), we can use Bayes' theorem:
P(B∣A)= P(A) / P(A∣B)⋅P(B)
Given information:
P(B)=0.2
P(A∣B)=0.9
P(B')=0.8 (probability of not B)
P(A∣B′)=0.5 (probability of A given not B)
First, we need to calculate
P(A), the probability of event A. We can use the law of total probability to express P(A) in terms of the probabilities related to B and not B:
P(A)=P(A∣B)⋅P(B)+P(A∣B′)⋅P(B′)
Substituting the given values:
P(A)=0.9⋅0.2+0.5⋅0.8=0.18+0.4=0.58
Now, we can substitute the known values into Bayes' theorem:
P(B∣A)= P(A)/ P(A∣B)⋅P(B)
= 0. 9.0.2 / 0.58
Calculating this expression:
P(B∣A)≈ 0.5 80.18 ≈0.310
Therefore, P(B∣A) is approximately 0.310, rounded to three decimal places.
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help plssss!!
Which answer describes the function f(x)=2x3−x2 ?
odd
even
neither
Answers
the answer is neither
6. Suppose you draw at random the names of 5% of the registered voters separately from each county in a state. What type of sampling are you using
Answers
The type of sampling being used when 5% of the registered voters from each county in a state are drawn at random separately is a stratified sampling.
Stratified sampling is the type of probability sampling that is used when the population being sampled has different groups or strata with varying characteristics. A sample is then drawn from each group to make sure that each stratum or group is represented.The samples can be of equal sizes or can be proportionate to the size of the group. The idea behind stratified sampling is to increase the representativeness of the sample by reducing the variability of the data obtained from the sample.
The advantages of using stratified sampling are that it reduces the variability of the data obtained and ensures that every group or stratum is represented. It also makes it possible to identify any differences between the groups and analyze them independently of the others.In summary, when 5% of the registered voters from each county in a state are drawn at random separately, it is an example of a stratified sampling.
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look at screenshotfghfdewefghbvfcdrftgbvfdrtfg
Answers
1 Divide L.E. 200 between Ahmed and his sister in the ratio 2:3.
Answers
Answer:
Ahmed=2/5×200
=400/5
=80
sister=3/5×200
=600/5
=120
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What is the slope of a line perpendicular to the given line?
Answers
Answer:
4
Step-by-step explanation:
The perpendicular slope means opposite reciprocal
opposite: 1/4
reciprocal: 4
Answer:
The slope is undefined
Step-by-step explanation:
Rate me please
question is in the picture
Answers
Answer:
18 tables: $143
t tables: $35 + $6t
Step-by-step explanation:
35 + 6t
35 + 6(18) = 35 + 108 = 143
What is the area, in square inches, of the isosceles trapezoid below?
17.9 in
18 in
8.3 in
Answers
Answer:
104.8 in^2
Step-by-step explanation:
There are 2 ways to solve this problem.
The 1st way:
Let's make 2 triangles and 1 rectangle:
Rectangle Length = 8.3
Rectangle Width = 8
So, the left out length will be 17.9 - 8.3
=> 9.6
Since, 9.6 cm is for 2 parts.
=> 9.6 / 2
=> 4.8
So, Height of the Triangle = 8
Base of the triangle = 4.8
Area of a rectangle
=> 8.3 x 8
=> 66.4
Area of the triangle
=> 1/2 x 8 x 4.8
=> 4 x 4.8
=> 19.2
There are 2 triangles:
=> 19.2 x 2
=> 38.4
=> 66.4 + 38.4
=> 104.8
The area of the trapezoid = 104.8 in^2.
The 2nd way is:
Area of a trapezoid
=> Smaller Base + Larger Base / 2 x Height
=> 8.3 + 17.9 / 2 x 8
=> 26.2 / 2 x 8
=> 13.1 x 8
=> 104.8
The area of the trapezoid is 104.8 in^2
A 95% confidence interval for the population mean implies that if samples are drawn repeatedly and confidence intervals for μ are constructed, then 95% of the confidence intervals computed will contain the population mean (true or false)
Answers
True.
A 95% confidence interval for the population mean means that if we draw multiple samples from the same population and construct confidence intervals for the mean using each sample, then 95% of those intervals will contain the true population mean. This is because the confidence interval is computed based on the sample mean and the sample's standard deviation, which are random variables that are expected to vary from sample to sample. Therefore, we cannot be 100% certain that the true population mean is within any particular confidence interval, but we can be confident (95% confident, in this case) that most of the intervals we construct will contain the true mean. A 95% confidence interval for the population mean implies that if samples are drawn repeatedly and confidence intervals for μ are constructed, then 95% of the confidence intervals computed will contain the population mean. This means that you can be 95% confident that the true population mean lies within the calculated interval.
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