Answer:
Net biweekly pay for each paycheck is [tex]\$1442[/tex]
Step-by-step explanation:
Employees paid biweekly are paid 26 times a year.
So, Required Biweekly net pay [tex]=\frac{44300-4400-2400}{26}[/tex]
[tex]\approx 1442[/tex]
Best Regards!
A sample of 26 offshore oil workers took part in a simulated escape exercise, and their escape time (unit: second) were observed. The sample mean and sample standard deviation are 370.69 and 24.36, respectively. Suppose the investigators had believed a priori that true average escape time would be at most 6 minutes. Does the data contradict this prior belief
Answer:
[tex]t=\frac{370.69-360}{\frac{24.36}{\sqrt{26}}}=2.238[/tex]
The degrees of freedom are given by:
[tex] df = n-1= 26-1=25[/tex]
And the p value would be:
[tex]p_v =P(t_{25}>2.238)=0.0172[/tex]
If we use a 5% of significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 360 second or 6 minutes. We need to be careful since if we use a significance level of 1% the result change
Step-by-step explanation:
Information given
[tex]\bar X=370.69[/tex] represent the sample mean
[tex]s=24.36[/tex] represent the sample standard deviation
[tex]n=26[/tex] sample size
[tex]\mu_o =6*60 =360 s[/tex] represent the value to verify
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to check if the true mean is at most 360 seconds, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 360[/tex]
Alternative hypothesis:[tex]\mu > 360[/tex]
The statistic for this case would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
We can replace in formula (1) the info given like this:
[tex]t=\frac{370.69-360}{\frac{24.36}{\sqrt{26}}}=2.238[/tex]
The degrees of freedom are given by:
[tex] df = n-1= 26-1=25[/tex]
And the p value would be:
[tex]p_v =P(t_{25}>2.238)=0.0172[/tex]
If we use a 5% of significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 360 second or 6 minutes. We need to be careful since if we use a significance level of 1% the result change
A large restaurant is being sued for age discrimination because 15% of newly hired candidates are between the ages of 30 years and 50 years when 50% of all applicants were in that age bracket. You plan to use hypothesis testing to determine whether there is significant evidence that the company's hiring practices are discriminatory. Part A: State the null and alternative hypotheses for the significance test. (2 points) Part B: In the context of the problem, what would a Type I error be
Answer:
See explanation below.
Step-by-step explanation:
Let's take P as the proportion of new candidates between 30 years and 50 years
A) The null and alternative hypotheses:
H0 : p = 0.5
H1: p < 0.5
b) Type I error, is an error whereby the null hypothesis, H0 is rejected although it is true. Here, the type I error will be to conclude that there was age discrimination in the hiring process, whereas it was fair and random.
ie, H0: p = 0.5, then H0 is rejected.
A homogeneous second-order linear differential equation, two functions y1 and y2 , and a pair of initial conditions are given below. First verify that y1 and y2 are solutions of the differential equation. Then find a particular solution of the form
y = c1y1 + c2y2 that satisfies the given initial conditions.
y'' + 49y = 0; y1 = cos(7x) y2 = sin(7x); y(0) = 10 y(0)=-4
y(x)=?
Answer:
Step-by-step explanation:
Check part
[tex]y= C_1y_1 + C_2y_2 = C_1cos(7x)+C_2sin(7x)[/tex]
[tex]y'= -7 C_1sin(7x)+7C_2cos(7x)[/tex]
[tex]y"= -49 C_1cos(7x) - 49 C_2sin(7x)[/tex]
Now, replace to the original one.
[tex]y"+49 y = -49C_1cos(7x)-49 C_2 sin(7x) + 49 C_1cos(7x) +49 C_2sin(7x) = 0\\[/tex]
Done!!
Particular solution
[tex]y(0) = C_1cos(0) + C_2 sin(0) = C_1= 10[/tex]
I believe that y'(0) = 4, not y(0) anymore. Since y(0) CANNOT have two different solution.
[tex]y(0)'= -7 C_1sin(0) + 7 C_2 cos (0) = 7 C_2= -4[/tex]
[tex]C_2 = -4/7[/tex]
The last step is to put C1, C2 into your solution. You finish it.
The numerator of a rational number is greater than its denominator by 3. If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by23, find the original number.
Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
Identify at least one potential source of bias in the claim below. Explain why the bias would or would not affect a reader's view of the claim. Based on a research center survey of 35,000 American adults, the percentages of four-year college degree holders among Hindus, atheists, Muslims, Catholics, and all American adults are 77%, 43%, 39%, 27%, and 26%, respectively.
Participation bias may be present in the claim below.
Bias, in statistics, means a systematic error or deviation in the estimation or inference process that continuously skews the conclusions in a particular direction. It represents a disturbance between the expected value of an estimator or statistic and the true value of the population parameter being estimated.
There is clearly a bias because the total of the percentages, i.e., 77 + 43 + 39 + 27 + 26 equals 212 which is a totally wrong way to represent data. The claims don't resemble correct information and hence, are biased. The bias would affect a reader's view of the claim because the percentages do not add up to 100[tex]\%[/tex].
Hence, it is concluded that the participation bias is present here.
Learn more about Bias here:
https://brainly.com/question/30138710
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What is the formula for area of a trapezuim??
Answer:
The formula is 1/2h(a+b)
h stands for the perpendicular height
a and b stand for the two horizontal lengths which are parallel to each other
Why do you think writing is an effective way to convince others
Answer:
Considering the audience helps a writer identify the types of details and language needed in the writing. Considering the audience helps the writer identify what is important to him or her. Considering the audience allows the writer to write about what he or she wants. Knowing the audience for a particular essay is important because it determines the content that will appear in the writing. If you are arguing for a change to occur, identifying the level at which you want this change to occur and/or the people you want to persuade to help create this change (audience) is important step by step
Researchers are conducting a study in an attempt to establish a linear relationship between the number of online music video views and the number of guitar sales. A computer output for regression is shown and is based on a sample of seven observations.
Predictor Coeff St. Dev t Ratio p-Value
Constant 7.85671094 1.316226455 5.969118 0.001889
Music Video Views 0.094781123 0.027926367 3.393965 0.019378
What represents the 99% confidence interval for the slope of the regression line?
Answer:
[tex] 0.094781123 - 4.032* 0.027926367 =-0.0178180[/tex]
[tex] 0.094781123 + 4.032* 0.027926367 =-0.2073802[/tex]
Step-by-step explanation:
For this case we have the following output:
Predictor Coeff St. Dev t Ratio p-Value
Constant 7.85671094 1.316226455 5.969118 0.001889
Music Video Views 0.094781123 0.027926367 3.393965 0.019378
For this case the slope of the regression we have:
[tex] \hat b = 0.094781123[/tex]
We assume that the standard error is:
[tex] SE_b = 0.027926367[/tex]
The confidence interval would be given by:
[tex] \hat b \pm t_{n-2} SE_b[/tex]
The degrees of freedom are given by:
[tex] df= 7-2=5[/tex]
And the critical value using a significance level of [tex]\alpha=0.01[/tex] is:
[tex] t_{\alpha/2} = 4.032[/tex]
And replacing we got;
[tex] 0.094781123 - 4.032* 0.027926367 =-0.0178180[/tex]
[tex] 0.094781123 + 4.032* 0.027926367 =-0.2073802[/tex]
Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n equals 1036 and x equals 583 who said "yes." Use a 90 % confidence level.
Required:
a. Find the best point estimate of the population proportion p.
b. Identify the value of the margin of error E =_______
c. Construct the confidence interval.
d. Write a statement that correctly interprets the confidence interval.
1. One has 99% confidence that the sample proportion is equal to the population proportion.
2. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
3. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
Answer:
a. p=0.562
b. E = 0.0253
c. The 90% confidence interval for the population proportion is (0.537, 0.587).
d. We have 90% confidence that the interval (0.537, 0.587) contains the true value of the population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.562.
[tex]p=X/n=583/1038=0.562[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.562*0.438}{1038}}\\\\\\ \sigma_p=\sqrt{0.000237}=0.0154[/tex]
The critical z-value for a 90% confidence interval is z=1.645.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot \sigma_p=1.645 \cdot 0.0154=0.0253[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=p-z \cdot \sigma_p = 0.562-0.0253=0.537\\\\UL=p+z \cdot \sigma_p = 0.562+0.0253=0.587[/tex]
The 90% confidence interval for the population proportion is (0.537, 0.587).
We have 90% confidence that the interval contains the true value of the population proportion.
Which polynomial function could be represented by the graph below? On a coordinate plane, a cubic function crosses the x-axis at (negative 3, 0), (0, 0), (2, 0). f(x) = x3 + x2 – 6x f(x) = x3 – x2 – 6x f(x) = –2x3 – 2x2 + 12x f(x) = –2x3 + 2x2 + 12x
Answer:
third one
Step-by-step explanation:
when
x=0, y=0
x=1, y=8
x=2 y=0
and so on.
Answer:
C. f(x)= -2x^3 -2x^2 +12x
Step-by-step explanation:
edge 2020
(d) A drinks machine dispenses coffee into cups. A sign on the machine indicates that each cup contains 100ml of coffee. The machine actually dispenses a mean amount of 105ml per cup and 10% of the cups contain less than the amount stated on the sign. Assuming that the amount of coffee dispenses into each cup is normally distributed, find the standard deviation of the amount of coffee dispensed per cup in ml.
Answer:
The standard deviation of the amount of coffee dispensed per cup in ml is 3.91.
Step-by-step explanation:
Let the random variable X denote the amount of coffee dispensed by the machine.
It is provided that the random variable, X is normally distributed with mean, μ = 105 ml/cup and standard deviation, σ.
It is also provided that a sign on the machine indicates that each cup contains 100 ml of coffee.
And 10% of the cups contain less than the amount stated on the sign.
To compute the probabilities of a normally distributed random variable, first convert the raw score to a z-score,
[tex]z=\frac{X-\mu}{\sigma}[/tex]
This implies that:
P (X < 100) = 0.10
⇒ P (Z < z) = 0.10
The value of z for the above probability is, z = -1.28.
*Use a z-table
Compute the value of standard deviation as follows:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
[tex]-1.28=\frac{100-105}{\sigma}[/tex]
[tex]\sigma=\frac{-5}{-1.28}[/tex]
[tex]=3.90625\\\\\approx 3.91[/tex]
Thus, the standard deviation of the amount of coffee dispensed per cup in ml is 3.91.
Identify an equation in point-slope form for the perpendicular to y= -1/2x+11 that passes through (4, -8). A. y - 4 = 2(x + 8) B. y - 8 = 1/2(x+4 C. y + 8 = 2(x - 4) D. y + 8 = 1/2(x - 4)
Answer:
C.
Step-by-step explanation:
Perpendicular ⇒ So the slope will be the negative reciprocal to this slope
Slope = m = 2
Point = (x,y) = (4,-8)
So, x = 4, y = -8
Putting in the slope-intercept form
[tex]y = mx+b[/tex]
-8 = (2)(4) + b
b = -8-8
b = -16
Now we'll put it in the slope-intercept form
y = 2x-16
=> y = 2x-8-8
=> y+8 = 2(x-4)
In a recent household telephone survey of 2,550 adults in a certain country, 27% reported that they own at least one gun. The researchers want to estimate the true percentage of adults in that country that own at least one gun. Complete parts a through f below a. Identify the population of interest to the researchers. Choose the correct answer below.
a. The set of adults that responded to the survey
b. The set of guns in the country
c. The set of adults in the country that own a gun (CMD.
d. The set of all gun ownership status (yes/no) values for all adults in the country.
Answer
option D
Step-by-step explanation:
The population of interest to the research is the set of all gun ownership status (yes/no) values for all adults in the country. Or all total adults in a country including those that own a gym or not. This is the population of interest. The sample is the 2550 individuals adults surveyed in the household telephone survey.
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cmys. Find the rate at which the area within the circle is increasing after (a) 1 s, (b) 3 s, and (c) 5 s. What can you conclude?
Answer:
a) [tex]t = 1\,s[/tex], [tex]\dot A \approx 22619.467\,\frac{cm^{2}}{s}[/tex], b) [tex]t = 3\,s[/tex], [tex]\dot A \approx 67858.401\,\frac{cm^{2}}{s}[/tex], c) [tex]t = 5\,s[/tex], [tex]\dot A \approx 113097.336\,\frac{cm^{2}}{s}[/tex]. The rate at which the area within the circle is increasing linearly inasmuch as time passes by.
Step-by-step explanation:
The area of a circle is described by the following formula:
[tex]A = \pi \cdot r^{2}[/tex]
Where:
[tex]A[/tex] - Area, measured in square centimeters.
[tex]r[/tex] - Radius, measured in centimeters.
Since circular ripple is travelling outward at constant speed, radius can be described by the following equation of motion:
[tex]r (t) = \dot r \cdot t[/tex]
Where:
[tex]\dot r[/tex] - Speed of the circular ripple, measured in centimeters per second.
[tex]t[/tex] - Time, measured in seconds.
The rate of change of the circle is determined by deriving the equation of area and replacing radius with the function in terms of the speed of the circular ripple and time. That is to say:
[tex]\dot A = 2\cdot \pi \cdot r \cdot \dot r[/tex]
[tex]\dot A = 2 \cdot \pi \cdot \dot r^{2}\cdot t[/tex]
Where:
[tex]\dot A[/tex] - Rate of change of the circular area, measured in square centimeters per second.
[tex]\dot r[/tex] - Speed of the circular ripple, measured in centimeters per second.
[tex]t[/tex] - Time, measured in seconds.
If [tex]\dot r = 60\,\frac{cm}{s}[/tex], then:
a) [tex]t = 1\,s[/tex]
[tex]\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (1\,s)[/tex]
[tex]\dot A \approx 22619.467\,\frac{cm^{2}}{s}[/tex]
b) [tex]t = 3\,s[/tex]
[tex]\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (3\,s)[/tex]
[tex]\dot A \approx 67858.401\,\frac{cm^{2}}{s}[/tex]
c) [tex]t = 5\,s[/tex]
[tex]\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (5\,s)[/tex]
[tex]\dot A \approx 113097.336\,\frac{cm^{2}}{s}[/tex]
The rate at which the area within the circle is increasing linearly inasmuch as time passes by.
"Flip a coin; if it is heads, pick item A; if it is tails, flip the coin again; this time, if it is heads, choose B; if it is tails, choose C. Explain why this is a probability sample but not a simple random sample"
Answer:
It is a probability sample because it utilizes some form of random selection. It is not a simple random sample because there is not an equal possibility of A, B, or C.
Step-by-step explanation:
Jack works in a supermarket. He earns $186 a week. How much does he earn in a 52 week year?
Answer:
9672 per year
Step-by-step explanation:
Take the amount he earns per week times the number of weeks he works
186* 52
9672 per year
Answer:
$9672
Step-by-step explanation:
Jack earns $186 in 1 week.
In 52 weeks,
186 × 52 = 9672
He earns $9672.
Find the x-intercepts for the quadratic function y= -1/2(x+3)^2 +4
Answer:
x= -3 +√2 ≈ -0.1716, and x = - 3 -2√2 ≈ -5.8284
Step-by-step explanation:
y= -1/2(x+3)² +4
For x -intercept, y = 0.
0 = - 1/2(x+3)² + 4 /*(-2)
0 = (x+3)² - 8
(x+3)² = 8
√(x+3)² = +/-√8
x+3 = +/-√8
x = - 3+/- 2√2
x= -3 +√2 ≈ -0.1716, and x = - 3-2√2 ≈ -5.8284
If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as V = 4500 (1 − 1 /50 t )^2. 0≤ t ≤ 50. At what time is the water flowing out the fastest?
Answer:
t = 0
Before it starts rushing that's when it will be fastest
Step-by-step explanation:
For the water ib the tank to flow very fast it means that there is a big volume of water present.
And for volume of water to be present that much it means that the water must
have not leaked much or at all.
And for that it signifies large volume of water.
If we do the calculation we'd see that time will be actually equal to zero for the pressure and the volume of the water to be biggest.
V = 4500 (1 − 1 /50 t )^2
V = 4500
4500 = 4500(1- 1/50t)²
1 = 1- 1/50t
0 = -1/50t
t = 0
If f(x) = 6 - 5x, what is f(x)^-1? (check attachment)
f(x) = 6-5x
y = 6-5x .... replace f(x) with y
x = 6-5y .... swap x and y; solve for y
x+5y = 6
5y = 6-x
y = (6-x)/5
[tex]f^{-1}(x) = \frac{6-x}{5}[/tex] ... replace y with the inverse function notation
Answer: Choice D.A game popular in Nevada gambling casinos is Keno, which is played as follows: Twenty numbers are selected at random by the casino from the set of numbers 1 through 80. A player can select from 1 to 15 numbers; a win occurs if some fraction of the player’s chosen subset matches any of the 20 numbers drawn by the house. The payoff is a function of the number of elements in the player’s selection and the number of matches. For instance, if the player selects only 1 number, then he or she wins if this number is among the set of 20, and the payoff is $2.20 won for every dollar bet. (As the player’s probability of winning in this case is , it is clear that the "fair" payoff should be $3 won for every $1 bet). When the player selects 2 numbers, a payoff (of odds) of $12 won for every $1 bet is made when both numbers are among the 20.A) What would be the fair payoff in this case? Let P, k denote the probability that exactly k of the n numbers chosen by the player are among the 20 selected by the house. B) Compute Pn, k.C) The most typical wager at Keno consists of selecting 10 numbers. For such a bet, the casino pays off as shown in the following table. Compute the expected payoff.
The missing part in the question;
and the payoff is $2.20 won for every dollar bet. (As the player’s probability of winning in this case is [tex]\dfrac{1}{4}[/tex]........
Also:
For such a bet, the casino pays off as shown in the following table.
The table can be shown as:
Keno Payoffs in 10 Number bets
Number of matches Dollars won for each $1 bet
0 - 4 -1
5 1
6 17
7 179
8 1299
9 2599
10 24999
Answer:
Step-by-step explanation:
Given that:
Twenty numbers are selected at random by the casino from the set of numbers 1 through 80
A player can select from 1 to 15 numbers; a win occurs if some fraction of the player’s chosen subset matches any of the 20 numbers drawn by the house
Let assume X to represent the numbers of player chooses which are in the Casino-selected-set of 20.
Let assume the random variable X has a hypergeometric distribution with parameters N= 80 and m =20.
Then, the probability mass function of a hypergeometric distribution can be defined as:
[tex]P(X=k)=\dfrac{(^m_k)(^{N-m}_{n-k})}{(^N_n)}, k =1,2,3 ... n[/tex]
Now; the probability that i out of n numbers chosen by the player among 20 can be expressed as:
[tex]P(X=k)=\dfrac{(^{20}_k)(^{60}_{n-k})}{(^{80}_n)}, k =1,2,3 ... n[/tex]
Also; given that ; When the player selects 2 numbers, a payoff (of odds) of $12 won for every $1 bet is made when both numbers are among the 20
So; n= 2; k= 2
Then :
Probability P ( Both number in the set 20) [tex]=\dfrac{(^{20}_2)(^{60}_{2-2})}{(^{80}_2)}[/tex]
Probability P ( Both number in the set 20) [tex]= \dfrac{20*19}{80*79}[/tex]
Probability P ( Both number in the set 20) [tex]=\dfrac{19}{316}[/tex]
Probability P ( Both number in the set 20) [tex]=\dfrac{1}{16.63}[/tex]
Thus; the payoff odd for [tex]=\dfrac{1}{16.63}[/tex] is 16.63:1 ,as such fair payoff in this case is $16.63
Again;
Let assume X to represent the numbers of player chooses which are in the Casino-selected-set of 20.
Let assume the random variable X has a hypergeometric distribution with parameters N= 80 and m =20.
The probability mass function of the hypergeometric distribution can be defined as :
[tex]P(X=k)=\dfrac{(^m_k)(^{N-m}_{n-k})}{(^N_n)}, k =1,2,3 ... n[/tex]
Now; the probability that i out of n numbers chosen by the player among 20 can be expressed as:
[tex]P(n,k)=\dfrac{(^{20}_k)(^{60}_{n-k})}{(^{80}_n)}, k =1,2,3 ... n[/tex]
From the table able ; the expected payoff can be computed as shown in the attached diagram below. Thanks.
Find the center (h,k) and radius r of the circle. Graph the equation. x^2 + y^2 - 2x - 10y + 1 = 0
Answer:
Center: (1, 5)
Radius: r = 5
Step-by-step explanation:
Step 1: Rewrite equation
x² - 2x + y² - 10y = -1
Step 2: Complete the Square (x2)
x² - 2x + 1 + y² -10y + 25 = -1 + 1 + 25
(x - 1)² + (y - 5)² = 25
Step 3: Find answers
Center = (h, k)
(1, 5) as Center
Radius = r
r² = 25
r = 5
Answer: Center = (1, 5)
Radius = 5
Step-by-step explanation:
The standard form for a circle is: (x - h)² + (y - k)² = r² where
Center = (h, k)Radius = rFirst, group the x's and group the y's in order to complete the square.
x² - 2x + y² - 10y = -1
↓ ↓
(-2/2)²=1 (-10/2)²=25
Add those values to BOTH sides:
x² - 2x + 1 + y² - 10y + 25 = -1 + 1 + 25
Rewrite the left side as perfect squares and simplify the right side.
(x - 1)² + (y - 5)² = 25
We end up with (h, k) = (1, 5) this is the center
and r² = 25 --> r = 5 this is the radius
To graph the circle, place an x at the center (1, 5). Plot a point 5 units (the radius) to the right of the center, another point 5 units up from the center, a third point 5 units left from the center, and a fourth point 5 units down from the center. "Connect the dots" to create a circle.
Can you please help me answer this question ASAP. Thank you
Answer:
See the attachment below.
Step-by-step explanation:
Best Regards!
The computer in a police car records the distance the car travels in both miles and kilometers. (1 mile is approximately equal to 1.6 km). Think about the travel data from one police car for a year. If we calculate the standard deviation of the distances in miles and also in kilometers, which of the following statements is true?
1. The standard deviation of the distances in miles is larger.
2. The standard deviation of the distances in kilometers is larger.
3. The standard deviations are the same.
Answer:
2. The standard deviation of the distances in kilometers is larger.
Step-by-step explanation:
Let us assume the distance of car travel in miles is x
And, the distance of car travel in kilometers is y
Given that
1 mile = 1.6 km
That means
y = 1.6x
Therefore
The standard deviation of y = 1.6 × (standard deviation of x)
The above equation represents
The standard deviation of y > standard deviation of x
hence, the correct option is 2.
What is the value of x?
A-17
B-20
C-28
D-38
Answer:
B
Step-by-step explanation:
Let's use the Pythagorean Theorem.
x² + 21² = 29²
x² + 441 = 841
x² = 400
x = 20
Make a the subject of the formula: T= a + 4
Answer:
a = T - 4
Step-by-step explanation:
Simply just subtract 4 on both sides to get the answer!
Answer:
a=T-4
Step-by-step explanation:
subtract 4
Pls answer either of these questions with step by step explanation
Answer:
C and B
Step-by-step explanation:
31. Thrice means 3 times as much. Let's call Rahul and Shivam's present ages r and s respectively. We can write:
r = 3s
r + 8 = 1 + (s + 8) * 2
Simplifying the second equation gives us r + 8 = 2s + 17. When we substitute r = 3s into the second equation we get 3s + 8 = 2s + 17 which gives us s = 9. This means r = 9 * 3 = 27 so Rahul's age 8 years before the present is 27 - 8 = 19.
32. Let's call Ravi and Kishan's ages r and k. We can write:
r + k = 69
r - 8 = 2(k - 8) - 4
Rewriting the first equation gives us r = -k + 69 and when we substitute this into the second equation we get -k + 69 - 8 = 2k - 16 - 4. Solving for k we get k = 27 which means r = 42. 42 - 27 = 15.
what is 21+23.3+323.45
Answer:
367.75
Step-by-step explanation:
21+23.3+323.45
Add the three terms.
= 367.75
The sum of theses numbers is 367.75.
Answer:
[tex]= 367.75 \\ [/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \: 21 \\ + \: \: \: \: 23.3 \\ = \: \: 44.3 \\ + 323.45 \\ = 367.75[/tex]
Given that 9 x − 4 y = 20 Find y when x = − 2 Give your answer as an improper fraction in its simplest form
Answer:
[tex]\boxed{\df\ \dfrac{-19}{2}}[/tex]
Step-by-step explanation:
Hi,
x=-2
it gives
9*(-2)-4y=20
<=> -18-4y=20
<=> 18-18-4y=20+18=38
<=> -4y=38
<=> y = -38/4=-19/2
hope this helps
To study the effect of neighborhood on academic performance, 1000 families were given federal housing vouchers to move out of their low-income neighborhoods. No improvement in the academic performance of the children in the families was found one year after the move.Requried:a. What are the explanatory and response variables?b. What are the subjects, factor(s), and treatment?c. What does no significant difference mean in describing the outcome of this study?d. Explain clearly why the lack of improvement in academic performance after one year does not necessarily mean that neighborhood does not affect academic performance.e. In particular, identify some lurking variables whose effect on academic performance may be confounded with the effect of the neighborhood
Answer:
Check below for the answers and explanations to the questions.
Step-by-step explanation:
a) The explanatory variable is "the neighborhood" because it is the one that can be controlled/varied by the experimenter and also determines the outcome of the experiment.
The response variable is the "academic performance of the children" since it is the outcome of the experiment.
b) The subjects of the study are the children of the 1000 families that were given federal housing vouchers to relocate.
The factors of the study are:
1. the low income neighborhood
2. the federal housing estate
Treatment is the combination of various levels of the factor. In this case, it is the neighborhood of the families.
c) No significant difference means that the mean of the academic performance of the children while living the low-income neighborhood equals the mean of their academic performance while living in the federal housing estate. Which means that the null hypothesis is accepted.
d) The period of evaluation after relocation is very small compared to the time that has been spent in the low-income neighborhood. The observation has to take a longer time to discover the effect of the new neighbourhood on the academic performance of the children. Therefore the lack of improvement in academic performance after one year does not necessarily mean that neighborhood does not have effect on academic performance.
e) some other variables that are not considered in this study are:
The average Intelligence Quotient of the children
The parental training
The schools attended by the children
Average number of hours spent on study
Given: m∠AOB=50°, m∠FOE=70°. Find: m∠AOC, m∠BOD, m∠COE and m∠COD.
Answer:
m∠AOC= 120°
, m∠BOD = 130°
m∠COE = 110°
m∠COD.= 60°
Step-by-step explanation:
Let's note that
AOF = COD= 60°
BOC = FOE= 70°
AOB = DOE= 50°
Given: m∠AOB=50°, m∠FOE=70°. m∠AOC
, m∠BOD,
m∠COE
m∠COD. = AOF = (360-(2(70)+2(50)))/2
AOF = (360-240)/2
AOF = 120/2
AOF = 60°= COD
COE = COD+DOE= 60+50= 110°
BOD = BOC + COD = 70+60= 130°
AOC = AOB + BOC = 50+70 = 120°