Answers
Answer:
D.
Step-by-step explanation:
slope = m = rise/run = 2/1 = 2
The slope is 2.
Use point (-2, 1).
y - y_1 = m(x - x_1)
y - 1 = 2(x - (-2))
y - 1 = 2(x + 2)
Answer: D.
Related Questions
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct?
Answers
Answer:
Kevin is correct.
Step-by-step explanation:
3 girls + 5 boys = 8 students.
Answer:
he is incorrect since in a ratio you don't add them together instead what this ratio means is for every 3 girls there is 5 boys
Hope This Help!!!
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. A man is selected by a marketing company to participate in a paid focus group. The company says that the man was selected because his name is among the first 200 in the phone number listings. Which type of sampling did the marketing company use?
A. Systematic sampling
B. Cluster sampling
C. Random sampling
D. Stratified sampling
E. Convenience sampling
Answers
Answer: convenience sampling
Step-by-step explanation:
Convenience sampling is also referred to as opportunity sampling or accidental sampling and it occurs when a sample is selected from the population that is convenient and close to hand for the researcher. It's usually used during pilot testing.
Convenience sampling is such that the primary data source that are first available will be used for the research without any additional requirements being made.
-moves "The string of a kite is perfectly taut" and always makes an angle of 35 degrees above horizontal. (a) If the kite flyer has let out 500 feet of string, how high is the kite? (b) If the string is let out at a rate of 10 feet per second, how fast is the kite's height increasing?
Answers
Answer:
a) [tex]h=286.8ft[/tex]
b) [tex]\frac{dh}{dt}=5.7ft/s[/tex]
Step-by-step explanation:
From the question we are told that:
Angle [tex]\theta=35[/tex]
a)
Slant height [tex]h_s=500ft[/tex]
Generally the trigonometric equation for Height is mathematically given by
[tex]h=h_ssin\theta[/tex]
[tex]h=500sin35[/tex]
[tex]h=286.8ft[/tex]
b)
Rate of release
[tex]\frac{dl}{dt}=10ft/sec[/tex]
Generally the trigonometric equation for Height is mathematically given by
[tex]h=lsin35[/tex]
Differentiate
[tex]\frac{dh}{dt}=\frac{dl}{dt}sin35[/tex]
[tex]\frac{dh}{dt}=10sin35[/tex]
[tex]\frac{dh}{dt}=5.7ft/s[/tex]
Is this equation an identity? 6 + 5m = 4m
Answers
Answer:
Step-by-step explanation:
I don't think so. This equation has but one definite answer and the left and right sides don't produce the same result.
subtract 5m from both sides
6 = 4m - 5m
6 = - m Multiply both sides by - 1
-6 = m
An identity is something like 4x + 5x = 9x
It doesn't matter what x is. Any value of x will make the right side = to the left side. This becomes more important when you will study trigonometry.
The following integral requires a preliminary step such as long division or a change of variables before using the method of partial fractions. Evaluate the following integral. x^4 + 7/x^3 + 2x dx Find the partial fraction decomposition of the integrand. x^4 + 7/x^3 + 2x dx
Answers
Division yields
[tex]\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}[/tex]
Now for partial fractions: you're looking for constants a, b, and c such that
[tex]\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}[/tex]
[tex]\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a[/tex]
which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then
[tex]\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}[/tex]
Now, in the integral we get
[tex]\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx[/tex]
The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get
[tex]\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}[/tex]
Michael was 1.0 metres tall, and could
only reach up to the 1st floor lift button. .
From the 1st floor, he had to walk up 100
steps to reach the 6th floor.
Vinh was 1.4 metres tall, and could reach
the 5th floor button. He had to walk up
20 steps to reach the 6th floor.
Lucy was 1.1 metres tall. To reach the
6th floor, how many steps did she have to
walk up?
Answers
Answer:
Lucy must walk up 80 steps to reach the 6th floor.
Step-by-step explanation:
Since Michael was 1.0 meters tall, and could only reach up to the 1st floor lift button, and from the 1st floor, he had to walk up 100 steps to reach the 6th floor; while Vinh was 1.4 meters tall, and could reach the 5th floor button, and he had to walk up 20 steps to reach the 6th floor; If Lucy was 1.1 meters tall, to determine how many steps did she have to walk up to reach the 6th floor, the following calculation must be performed:
1 = 100
1.4 = 20
1.4 - 1 = 100 - 20
0.4 = 80
0.1 = X
0.1 x 80 / 0.4 = X
20 = X
100 - 20 = 80
Therefore, Lucy must walk up 80 steps to reach the 6th floor.
find the equation of the circle centre (3-2)radius 2 unit
Answers
Answer:
(x - 3)^2 + (x + 2)^2 = 4
Step-by-step explanation:
Equation of circle:
(x - h)^2 + (x - k)^2 = r^2
(h, k) = (3, -2)
r = 2
(x - 3)^2 + (x - (-2))^2 = 2^2
(x - 3)^2 + (x + 2)^2 = 4
Type the equation used and answer for credit:
2). The population, P(x), of white rhinos in 2001 was 11,670. The population is declining by 9% each year.
A) The general Population equation is modeled by: P(x) = (blank)
What is the population expected to be in the year 2021?
B) the Evaluated equation I used to get the following answer is(blank)
, and there are (blank)
rhinos expected.
Answers
Answer:
a) 11670-0.09%
b)11670-1.8%=11459
Step-by-step explanation:
The average defect rate on a 2010 Volkswagen vehicle was reported to be 1.33 defects per vehicle. Suppose that we inspect 100 Volkswagen vehicles at random. (a) What is the approximate probability of finding at least 157 defects
Answers
Answer:
0.0207 = 2.07% approximate probability of finding at least 157 defects
Step-by-step explanation:
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\lambda[/tex] is the mean in the given interval.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n instances of a Poisson distribution can be approximated to a normal distribution, with [tex]\mu = n\lambda, \sigma = \sqrt{\lambda}\sqrt{n}[/tex]
The average defect rate on a 2010 Volkswagen vehicle was reported to be 1.33 defects per vehicle.
This means that [tex]\lambda = 1.33[/tex]
Suppose that we inspect 100 Volkswagen vehicles at random.
This means that [tex]n = 100[/tex]
Mean and standard deviation:
[tex]\mu = n\lambda = 100*1.33 = 133[/tex]
[tex]\sigma = \sqrt{\lambda}\sqrt{n} = \sqrt{1.33}\sqrt{100} = 11.53[/tex]
What is the approximate probability of finding at least 157 defects?
Using continuity correction(Poisson is a discrete distribution, normal continuous), this is [tex]P(X \geq 157 - 0.5) = P(X \geq 156.5)[/tex], which is 1 subtracted by the p-value of Z when X = 156.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{156.5 - 133}{11.53}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a p-value of 0.9793.
1 - 0.9793 = 0.0207
0.0207 = 2.07% approximate probability of finding at least 157 defects
The data set shows the number of players on each softball team in a tournament:
9
12
8
7
7
21
11
9
8
7
10
7
10
11
Which of the following statements is true based on the data set?
There is one outlier that indicates an unusually large number of players on that team.
There are two outliers that indicate an unusually large number of players on those two teams.
There is one outlier that indicates an unusually small number of players on that team.
There are two outliers that indicate an unusually small number of players on those two teams.
Answers
How many people have at least 1?
Answers
Answer:
15
Step-by-step explanation:
3+7+5
PLEASE BRAINLIESTTTTTTTTT
halla la suma y el producto de la PG 3,9,27,81,243
Answers
Answer:
huh ano yan huhu paki ayos ng sagot
Step-by-step explanation:
hahahhaa
the Barnes family drove 140 miles the first day and 220 miles on the second day. If they drove about 60 miles per hour, approximately how many hours did they drive?
Answers
60x6=360
therefore your answer is 6 hours
A hotel manager calculates that 12% of the hotel rooms are booked. If the manager is right, what is the probability that the proportion of rooms booked in a sample of 556 rooms would be less than 10%?
Answers
Answer:
0.0735 = 7.35% probability that the proportion of rooms booked in a sample of 556 rooms would be less than 10%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
A hotel manager calculates that 12% of the hotel rooms are booked.
This means that [tex]p = 0.12[/tex]
Sample of 556 rooms
This means that [tex]n = 556[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.12[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.12*0.88}{556}} = 0.0138[/tex]
What is the probability that the proportion of rooms booked in a sample of 556 rooms would be less than 10%?
This is the p-value of Z when X = 0.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.1 - 0.12}{0.0138}[/tex]
[tex]Z = -1.45[/tex]
[tex]Z = -1.45[/tex] has a p-value of 0.0735
0.0735 = 7.35% probability that the proportion of rooms booked in a sample of 556 rooms would be less than 10%.
What is the mean?
9.12.34.6.8.9.
Answers
Answer:
13
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Answer:
The mean (average) of these numbers is equal to 13.
Step-by-step explanation:
Another word for the "mean" of numbers is the "average" of numbers. You can find the average by adding all the numbers together and then dividing the sum you got by the number of values you added together, so in our case, there are 6 values given, therefore we will find the sum of all these numbers and then divide it by 6...
[tex]\frac{9 + 12 + 34 + 6 + 8 + 9}{6} = \frac{78}{6} = 13[/tex]
Therefore, the mean (average) of this number is equal to 13.
X⁴-6x²-7-8x-x² what is the answers
Answers
Answer:
X⁴-7x²-8x-7
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 2x+4y=-642x+4y=−64. Fully simplify your answer.
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
Solving the given equation for y, you have ...
2x +4y = -64
4y = -2x -64
y = -1/2x -16
The coefficient of x is the slope of the given line: -1/2. The slope of the perpendicular line is the opposite reciprocal of this:
-1/(-1/2) = 2
The slope of the perpendicular line is 2.
There are 7 black balls and 8 red balls in an urn. If 5 balls are drawn without replacement, what is the probability that exactly 4 black balls are drawn
Answers
Answer:
(5/20)*(4/19)*(3/18)*(2/17) = 120/116280 = .001 = .1%
Step-by-step explanation:
What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
Answers
Answer:
it's 13 if you use the distance formula
Please help will mark brainliest!
Answers
Answer:
(d) ∠B≅∠D
Step-by-step explanation:
The last statement of any proof is a restatement of what is being proven. Here, that is ...
∠B≅∠D
You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 95% confidence level and a margin of error of 2%. A pilot survey reveals that 5 of the 50 sampled hold two or more jobs.
How many in the workforce should be interviewed to meet your requirements? (Round up your answer to the next whole number.)
Answers
Answer:
865 in the workforce should be interviewed to meet your requirements
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A pilot survey reveals that 5 of the 50 sampled hold two or more jobs.
This means that [tex]\pi = \frac{5}{50} = 0.1[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How many in the workforce should be interviewed to meet your requirements?
Margin of error of 2%, so n for which M = 0.02.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.1*0.9}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.1*0.9}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.1*0.9}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.1*0.9}}{0.02})^2[/tex]
[tex]n = 864.4[/tex]
Rounding up:
865 in the workforce should be interviewed to meet your requirements
[tex]\frac{d}{dx} (2^x)=\\[/tex]
Answers
Hello,
[tex]\dfrac{d(2^x)}{dx} =2^x*ln(2)\\[/tex]
oludonts c) 2x + y = 2
2x + 2y = 0
Answers
Answer:
[tex]x = 2[/tex]
[tex]y = -2[/tex]
Step-by-step explanation:
Given
[tex]2x + y = 2[/tex]
[tex]2x + 2y = 0[/tex]
Required
Solfe for x and y
Subtract both equations
[tex]2x- 2x + y - 2y = 2 -0[/tex]
[tex]-y = 2[/tex]
Divide by -1
[tex]y = -2[/tex]
Substitute [tex]y = -2[/tex] in [tex]2x + 2y = 0[/tex]
[tex]2x+2 *-2 = 0[/tex]
[tex]2x-4 = 0[/tex]
[tex]x - 2 = 0[/tex]
Collect like terms
[tex]x = 2[/tex]
Can someone please help me, with part B
Answers
Step-by-step explanation:
let y = x+5/4
Interchanging x and y , we get ;
x = y+5/4
or, 4x = y+5
or, 4x-5 = y
or, g(x) -1 = 4x-5
Answer:
In verse of B.g(x)=[tex]\frac{x+5}{4}[/tex] is:
4x-5
Answer:
Solution given:
B.g(x)=[tex]\frac{x+5}{4}[/tex]
let
g(x)=y
y=[tex]\frac{x+5}{4}[/tex]
Interchanging role of x and y
we get:
x=[tex]\frac{y+5}{4}[/tex]
doing crisscrossed multiplication
4x=y+5
y=4x-5
So
g-¹(x)=4x-5
what term can you add to
[tex] \frac{5}{6} x - 4[/tex]
to make it equivalent to
[tex] \frac{1}{2} x - 4[/tex]
Answers
9514 1404 393
Answer:
-1/3x
Step-by-step explanation:
We want to find the term 'a' such that ...
(5/6x -4) + a = (1/2x -4)
Add 4-1/2x to both sides.
(5/6 -1/2)x -4 +4 +a = 0
(5/6 -3/6)x + a = 0 . . . . . . express the fractions using a common denominator
1/3x + a = 0 . . . . . . . . . . simplify the difference
a = -1/3x . . . . . . . . . . .subtract 1/3x
The term you can add to make the desired equivalent is -1/3x.
The weights of a certain type of captured fish can be described by a bell-shaped distribution (symmetric and unimodal) with a mean of 1050 grams and a standard deviation of 375 grams. What is the probability of fish that have weights above 675g
Answers
Answer:
0.913716
Step-by-step explanation:
Given a normal distribution :
Mean, x = 1050
Standard deviation, σ = 375
The Zscore = (x - mean) / σ
Zscore = (675 - 1050) / 275
Zscore = - 1.364
The probability :
P(Z > - 1.364)
P(Z > - 1.364) = 1 - P(Z < - 1.364) = 1 - 0.086284
P(Z > - 1.364) = 0.913716
Geometry Oddsseseyware
Answers
I need help with this question.
Answers
Answer:
Step-by-step explanation:
f(x-2) means that x is happening sooner or a shift to the left and
+4 means that the whole function moves up 4.
The 1st choice looks good
A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is less than pounds. Do the data provide convincing evidence that the pediatrician's claim is true
Answers
Answer:
Paedtricians claim isn't true.
Step-by-step explanation:
The hypothesis :
H0 : σ = 7
H0 : σ > 7
The test statistic ; χ² :
χ² = [(n - 1) * s²] ÷ σ²
n = 25 ; s = 4.3, σ = 7
χ² = [(25 - 1) * 4.3²] ÷ 7²
χ² = [(24 * 4.3²] ÷ 49
χ² = 443.76 / 49
χ² = 9.056
At α = 0.01 ; critical value = 42.980
Since critical value > test statistic, we fail to reject the null, H0.
In one state lottery game, you must select four digits (digits may be repeated). If your number matches exactly the four digits selected by the lottery commission, you win.
1) How many different numbers may be chosen?
2) If you purchase one lottery ticket, what is your chance of winning?
3) There are ___ different numbers that can be chosen. (Type a whole number.)
4) There is a ___ chance of winning.*
*The answer choices for number 4 are:
1 in 10,000
1 in 6,561
1 in 100
1 in 1,000
1 in 9,999
Answers
Answer:
Part 1)
10,000 different numbers.
Part 2)
A) 1 in 10,000.
Step-by-step explanation:
Part 1)
Since there are four digits and there are ten choices for each digit (0 - 9) and digits can be repeated, then we will have:
[tex]T=\underbrace{10}_{\text{Choices For First Digit}}\times\underbrace{10}_{\text{Second Digit}}\times\underbrace{10}_{\text{Third Digit}}\times \underbrace{10}_{\text{Fourth Digit}} = 10^4=10000[/tex]
Thus, 10,000 different numbers are possible.
Part 2)
Since there 10,000 different tickets possible, the chance of one being the correct combination will be 1 in 10,000.
This is equivalent to 0.0001 or a 0.01% chance of winning.
