Answer:
[tex]2x^2 + x - 3[/tex]
Step-by-step explanation:
We want to divide [tex]2x^4 - 3x^3 - 3x^2 + 7x - 3[/tex] by [tex]x^2 - 2x + 1[/tex]
To do the long division, divide each term by [tex]x^2[/tex] and then subtract the product of the result and [tex]x^2 - 2x + 1[/tex] from the remaining part of the equation.
Whatever term/value you obtain from each step of the division is a part of the quotient.
When you reach 0, you have gotten to the end of the division.
Check the steps carefully and follow them below:
Step 1:
Divide [tex]2x^4[/tex] by [tex]x^2[/tex]. You get [tex]2x^2[/tex].
Step 2
Multiply [tex]2x^2[/tex] by [tex]x^2 - 2x + 1[/tex] and subtract from [tex]2x^4 - 3x^3 - 3x^2 + 7x - 3[/tex]:
[tex]2x^4 - 3x^3 - 3x^2 + 7x - 3 - (2x^4 - 4x^3 + 2x^2)[/tex] = [tex]x^3 - 5x^2 + 7x - 3[/tex]
Step 3
Divide [tex]x^3[/tex] by [tex]x^2[/tex]. You get x.
Step 4
Multiply x by [tex]x^2 - 2x + 1[/tex] and subtract from [tex]x^3 - 5x^2 + 7x - 3[/tex]:
[tex]x^3 - 5x^2 + 7x - 3 - (x^3 - 2x^2 + x) = -3x^2 +6x - 3[/tex]
Step 5
Divide [tex]-3x^2[/tex] by [tex]x^2[/tex]. You get -3
Step 6
Multiply -3 by [tex]x^2 - 2x + 1[/tex] and subtract from [tex]-3x^2 +6x - 3[/tex]:
[tex]-3x^2 +6x - 3 - (-3x^2 + 6x -3) = 0[/tex]
From the three divisions, we got [tex]2x^2[/tex], x and -3.
Therefore, the quotient is [tex]2x^2 + x - 3[/tex].
The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations?
(a) n 15 t 1.66 a 0.05
A. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
B. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
C. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
D. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
(b) n 15 t 1.66 a 0.05
Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
(c) n 26, t 2.55 a 0.01
A. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
B. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
C. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
D. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
(d) n 26, t 3.95
A. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
B. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
C. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
D. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
C
b
C
c
C
d
A
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 0.5 \ in[/tex]
Generally the Null hypothesis is [tex]H_o : \mu = 0. 5 \ in[/tex]
The Alternative hypothesis is [tex]H_a : \mu \ne 0.5 \ in[/tex]
Considering the parameter given for part a
The sample size is n = 15
The test statistics is t = 1.66
The level of significance [tex]\alpha = 0.05[/tex]
The degree of freedom is evaluated as
[tex]df = n- 1[/tex]
[tex]df = 15- 1[/tex]
[tex]df = 14[/tex]
Using the critical value calculator at (social science statistics web site )
[tex]t_{\frac{\alpha}{2} ,df } = t_{\frac{0.05 }{2} ,14} = 2.145[/tex]
We are making use of this [tex]t_{\frac{\alpha }{2} }[/tex] because it is a one-tail test
Looking at the value of t and [tex]t_{\frac{\alpha }{2} }[/tex] the we see that [tex]t < t_{\frac{\alpha }{2} }[/tex] so the null hypothesis would not be rejected
Considering the parameter given for part b
The sample size is n = 15
The test statistics is t = -1.66
The level of significance [tex]\alpha = 0.05[/tex]
The degree of freedom is evaluated as
[tex]df = n- 1[/tex]
[tex]df = 15- 1[/tex]
[tex]df = 14[/tex]
Using the critical value calculator at (social science statistics web site )
[tex]t_{\frac{\alpha}{2} ,df } = t_{\frac{0.05 }{2} ,14} = -2.145[/tex]
Looking at the value of t and [tex]t_{\frac{\alpha}{2} ,df }[/tex] the we see that t does not lie in the area covered by [tex]t_{\frac{\alpha}{2} , df }[/tex] (i.e the area from -2.145 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis
Considering the parameter given for part c
The sample size is n = 26
The test statistics is t = -2.55
The level of significance [tex]\alpha = 0.01[/tex]
The degree of freedom is evaluated as
[tex]df = n- 1[/tex]
[tex]df = 26- 1[/tex]
[tex]df = 25[/tex]
Using the critical value calculator at (social science statistics web site )
[tex]t_{\frac{\alpha}{2} ,df } = t_{\frac{0.01 }{2} ,25} = 2.787[/tex]
Looking at the value of t and [tex]t_{\frac{\alpha }{2} }[/tex] the we see that t does not lie in the area covered by [tex]t_{\alpha , df }[/tex] (i.e the area from -2.787 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis
Considering the parameter given for part d
The sample size is n = 26
The test statistics is t = -3.95
The level of significance [tex]\alpha = 0.01[/tex]
The degree of freedom is evaluated as
[tex]df = n- 1[/tex]
[tex]df = 26- 1[/tex]
[tex]df = 25[/tex]
Using the critical value calculator at (social science statistics web site )
[tex]t_{\frac{\alpha}{2} ,df } = t_{\frac{0.01 }{2} ,25} = -2.787[/tex]
Looking at the value of t and [tex]t_{\frac{\alpha}{2} }[/tex] the we see that t lies in the area covered by [tex]t_{\alpha , df }[/tex] (i.e the area from -2.787 downwards on the normal distribution curve ) hence we reject the null hypothesis
4 1/2 +1 3/5 (in the simplest form)
6 1/10
Step-by-step explanation:
4 + 1/2+1+3/5
5+1+1/10=6 1/10
Use arrow notation to describe the translation of point PC-9, 5) to point P4-6, 7).
A (x,y) → (x - 3,7 - 2)
B (x,y) → (x + 3y - 2)
C (x,y) → (x + 3y + 2)
D (x,y) → (x - 3y + 2)
Quick!!! Urgent!!!!!!!!!
Answer:
my best answer for this is B. False.
I calculated as fast as i can.
47% of the students in a class of 34 students has glasses or contacts. How many students in the class have either glasses or contacts?
Answer:
16
Step-by-step explanation:
47% is 0.47
34 x 0.47 = 15.98
So a trick question, its either 15 students or 16 students.... I would say 16 students, although the percentage would be 47.05%
16 students either have glasses or contacts.
Add the following polynomials, then place the answer in the proper location on the grid.
2x3 - 4x2 + 6x - 3
29 +6x2 - 8x + 12
- 3x3 + 2x2 - 4x - 7
Help ????????
Answer:
[tex] x^3 - 6x + 2 [/tex]
Step-by-step explanation:
The given polynomials can be added together by adding like terms together as shown below:
=> Add together, the coefficient of all terms that have the power of 3.
[tex] (2x^3) + (x^3) + (-3x^3) [/tex]
[tex] 2x^3 + x^3 - 3x^3 [/tex]
[tex] 3x^3 - 3x^3 [/tex]
[tex] x^3 [/tex]
=> [tex] (-4x^2) + (6x^2) + (2x^2) [/tex]
[tex] -4x^2 + 8x^2 [/tex]
[tex] 4x^2 [/tex]
=> [tex] (6x) + (-8x) + (-4x) [/tex]
[tex] 6x - 8x - 4x [/tex]
[tex] -6x [/tex]
=> [tex] (-3) + (12) +(-7) [/tex]
[tex] -3 + 12 - 7 [/tex]
[tex] 2 [/tex]
The answer = [tex] x^3 - 6x + 2 [/tex]
Answer:
4x^2-6x+2
Step-by-step explanation:
A backpacking company requires each camper to bring a lantern to go on a trip. The company supplies 4 extra in case any lanterns get lost or broken. If 13 campers go on the trip, how many lanterns will they bring?
Answer:
17 lanterns.
Step-by-step explanation:
There are 13 campers with one lantern each, so that will be 13 * 1 = 13 lanterns.
The company supplies 4 extra lanterns for the whole group.
So, they will bring 13 + 4 = 17 lanterns.
Hope this helps!
Type the slope-intercept equation
of the line that passes through
the points (-1,3) and (2,-3).
y = [? ]x + [ ]
Answer:
y= -2x +1
Step-by-step explanation:
slope- intercept form:
y= mx +c, where m us the gradient and c is the y-intercept.
Let's find the value of m first using the gradient formula.
Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
[tex]m = \frac{ - 3 - 3}{2 - ( - 1)} \\ m = \frac{ - 6}{2 + 1} \\ m = \frac{ - 6}{3} \\ m = - 2[/tex]
y= -2x +c
To find the value of c, substitute a pair of coordinates.
When x= -1, y=3,
3= -2(-1) +c
3= 2 +c
c= 3 -2
c= 1
Thus the equation of the line is y= -2x +1.
Hi any help is appreciated. Just wanna graduate:))
Answer: C
Step-by-step explanation:
h · k(x) = 2(3x - 5)(-2x + 1)
= (6x - 10)(-2x + 1)
= -12x² + 6x + 20x - 10
= -12x² + 26x - 10
Answer:
C
Step-by-step explanation:
h(x) × k(x)
= 2(3x - 5)(- 2x + 1) ← expand factors using FOIL
= 2(- 6x² + 3x + 10x - 5)
= 2(- 6x² + 13x - 5) ← distribute parenthesis by 2
= - 12x² + 26x - 10 → C
Maths Problem I can't quite understand. Please could you help? All shown on the picture :) I hope you could help
Answer:
50 1 20
4 10 25
5 100 2
Step-by-step explanation:
Hello,
we can use Dudeney method
[tex]1000 = 2^35^3[/tex]
so we have a =2 and b = 5
the solution is
[tex]ab^2 \ \ 1 \ \ \ \ a^2b\\a^2 \ \ \ ab \ \ \ b^2\\b \ \ \ \ a^2b^2 \ \ a[/tex]
just need to replace a by 2 and b by 5
hope this helps
Tessa solves the equation below by first squaring both sides of the equation HELP PLEASE
Answer:
-7Step-by-step explanation:
[tex] \sqrt{ {x}^{2} - 3x - 6} = x - 1[/tex]
Squaring on both sides:
[tex] {x}^{2} - 3x - 6 = {(x - 1)}^{2} [/tex]
Use the formula:[tex] {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]
[tex] {x}^{2} - 3x - 6 = {x}^{2} - 2x + 1[/tex]
Combine like terms.
[tex] {x}^{2} - {x}^{2} - 3x + 2x = 1 + 6[/tex]
[tex] - 3x + 2x = 7[/tex]
Calculate
[tex] - x = 7[/tex]
[tex]x = - 7[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
-7
Step-by-step explanation:
Khan academy
In a survey, 24 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $31 and standard deviation of $6. Construct a confidence interval at a 80% confidence level.
Answer:
29.4≤μ≤32.6
Step-by-step explanation:
The datas given from the questions are as shown:
Number of people n = 24
Mean xbar= $31
Standard deviation σ = $6
Confidence Interval formula is expressed as:
CI = xbar ± Z(σ/√n)
Z value for 80% confidence interval is 1.282
Substituting the values into the Confidence Interval formula will give;
CI = 31 ± 1.282{6/√24}
CI = 31 ± 1.282(1.225)
CI = 31 ± 1.57045
CI = 31+1.57045 and 31-1.57045
CI = (29.42955, 32.57045)
CI = (29.4, 32.6) to 1dp
The confidence interval will be within the range 29.4≤μ≤32.6
Leechtown Co. has 4.3% coupon bonds on the market with 18 years left to maturity. The bonds make annual payments. If the bond currently sells for $870, what is its YTM? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Yield to maturity %
Answer:
YTM = 5.45%
Step-by-step explanation:
Here, we are interested in calculating the yield to maturity.
Mathematically;
Annual coupon=1000*4.3%=43
YTM=[Annual coupon+(Face value-Present value)/time to maturity]/(Face value+Present value)/2
=[43+(1000-870)/18]/(1000+870)2
=5.45%
Variables A and B have a covariance of 45, and variables C and D have a covariance of 627. How does the A and B relationship compare to the C and D relationship?
Answer:
variable A and Variable B are more negatively related than variable C and variable D.
Step-by-step explanation:
Variables A and B have a covariance = 45
Variables C and D have a covariance = 627
Comparing the relationship between variable A AND B with the relationship between variable C and D
variable A and Variable B are more negatively related than variable C and variable D. this is because the covariance between variable A and Variable B are less positive
Transformations of exponential functions
Answer:
It's the last one. We know it's to the right because the -8 is in the exponent and also, it's -8 not +8.
Write the following numbers in increasing order: −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2
Answer:
-12,-10,-3,-1.4,-1,0.25,2,5.2,12
Step-by-step explanation:
The following number −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2 in increasing order
-12,-10,-3,-1.4,-1,0.25,2,5.2,12
It's arranged this way starting from the negative sign because positive it's greater than negative and if the negative gets to approach zero it's get smaller
Answer:
-10 ; -3 1/2 ; -1.4 ; -1 ; -1/2 ; 0.25 ; 2 ; 5.2
Please answer this correctly without making mistakes
Answer: 4.8mi
Step-by-step explanation:
From Newton, getting to Bloomington takes 10mi, and getting to Arlington takes 5.2mi. Thus, simply do 10-5.2 to get 4.8mi.
Hope it helps <3
Please answer the followings: W^mW^n=
Step-by-step explanation:
[tex]W^m=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m}\\\\W^n=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{n}\\\\W^mW^n=\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{m}\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{n}\\\\=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m+n}=W^{m+n}[/tex]
From the following given equation, the answer to W^mW^n = [tex]\mathbf{W^{m+n}}[/tex]
The laws of indices provide us with the rules and principles for simplifying mathematical computations or algebraic expressions that include powers of the same base.
The example of the question given can be solved by using the multiplication rule. The multiplication rule states that we sum up the power of the integers if they have the same base.
From the given information
W^mW^n = [tex]\mathbf{W^{m+n}}[/tex]
Learn more about indices here:
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A group of children is trying to share a pile of stickers. If every
child gets two stickers, there will be 7 stickers left over. If two
children do not get any stickers, then each of the remaining
children will get exactly 3 stickers.
How many children are in the group?
Answer:
7 children
Step-by-step explanation:
Answer:
7 children is the correct answer
and you follow me if you can't I will unfollow you
What is the greatest prime you must consider to test whether 7066 is prime?
Answer:
Step-by-step explanation:
The square root of 7066 is 84.0595....
Therefore the largest number we must test is 84, seeing as now we have proven we do not need to test any numbers greater than 84.0595...
That means, we only need to test prime numbers smaller than 84 to see if they go into 7066.
84 isn't prime. But 83 is prime.
Therefore, the greatest prime that needs to be considered for divisibility is 83.
Answer:
The numbers 7066 is not prime .
But we easily know when a number is prime when we divide it by the first prime numbers; 2, 3, 5, 7, 11.
Step-by-step explanation:
It is known with certainty that a number is prime when it is only divisible by and by unity.
But in this case, that number, when divided by other numbers less than the one, shows that when dividing into the remainder, it gives zero, which means that it is not only divisible by itself or by the unit, but also by other numbers.
for example; 7066/2=3533 , the remainder is zero;
Find the value of EB
Answer:
31Step-by-step explanation:
Given,
AD = 38
EB = 7x - 4
FC = 6x - 6
Now, we have to find the value of X
[tex]eb \: = \frac{1}{2} (ad \: + fc \: )[/tex] ( Mid segment Theorem )
Plug the values
[tex]7x - 4 = \frac{1}{2} (38 + 6x - 6)[/tex]
Calculate the difference
[tex]7x - 4 = \frac{1}{2} (32 + 6x)[/tex]
Remove the parentheses
[tex]7x - 4 = \frac{32}{2} + \frac{6x}{2} [/tex]
[tex]7x - 4 = 16 + 3x[/tex]
Move variable to L.H.S and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex]7x - 3x = 16 + 4[/tex]
Collect like terms
[tex]4x = 16 + 4[/tex]
Calculate the sum
[tex]4x = 20[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{20}{4} [/tex]
Calculate
[tex]x = 5[/tex]
The value of X is 5
Now, let's find the value of EB
EB = 7x - 4
Plug the value of X
[tex] = 7 \times 5 - 4[/tex]
Calculate the product
[tex] = 35 - 4[/tex]
Calculate the difference
[tex] = 31[/tex]
The value of EB is 31
Hope this helps..
Best regards!!
several years ago ravi invested in some gold gold is currently valued at $2737 per ounce which is 70% more than rafa originally paid for it what was the purchase price of the gold
Answer:
Original price is $1610
Step-by-step explanation:
2737=1.7*Original price
divide each side by 1.7
Original price=1610
Hope this helps!
Which expression is equivalent to g5?
О 9х5
О 5x5x5x5x5x5x5x5x5
О 9х9х9х9х9
О 9х9х9х9х9х5x5x5x5x5x5x5x5x5
Answer:
9 x 9 x 9 x 9 x 9
Step-by-step explanation:
9^5 = 9 x 9 x 9 x 9 x 9
Answer:
it is C
Step-by-step explanation:
Solving exponential functions
Answer:
Option B
an increasing exponential graph
*4.8.21
Question Help
O
After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 2000, the hay in that country was contaminated by a radioactive
isotope (half-life 7 days). If it is safe to feed the hay to cows when 14% of the radioactive isotope remains, how long did the farmers need to wait to use this hay?
The farmers needed to wait approximately days for it to be safe to feed the hay to the cows.
(Round to one decimal place as needed.)
ות
nts
Enter your answer in the answer box and then click Check Answer.
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Answer:
19.9 days
Step-by-step explanation:
The amount remaining after d days is ...
a = (1/2)^(d/7)
We want to find d when a = 0.14
log(a) = (d/7)log(1/2)
d = 7·log(0.14)/log(1/2) ≈ 19.855 ≈ 19.9
The farmers need to wait about 19.9 days for it to be safe.
Does the median represent the center of the data? A. The median represents the center. B. The median does not represent the center because it is the smallest data value. C. The median does not represent the center because it is the largest data value. D. The median does not represent the center because it is not a data value. E. There is no median age
Answer:
A. The median represents the center.
Step-by-step explanation:
In statistics and probability theory, the median value is the middle value or center value in a group of data values or numbers. To find the median, the values have to be placed in value order, from smallest to largest. The center number would be the median. The number lies between the higher half and the lower half. Therefore the median represents the center of the data values.
A necklace was on sale for 20% discount off the original price of
$1250.00. What was the final sale price if 12.5% VAT has to be
paid?
Answer:
= $ [tex] \mathsf{1125}[/tex]Step-by-step explanation:
[tex] \mathrm{Given}[/tex],
[tex] \mathrm{Discount\% = 20\%}[/tex]
[tex] \mathrm{Marked \: price = 1250}[/tex]
[tex] \mathrm{Now \: let's \: find \: the \: discount \: amount}[/tex]
[tex] \mathrm{discount \: amount = dis\% \: of \: MP}[/tex]
[tex] \mathrm { = 20\% \: of \: 1250}[/tex]
[tex] \mathrm{ = 250}[/tex]
[tex] \mathrm{let's \: find \: the \: selling \: price}[/tex]
[tex] \mathrm{ = MP \: - \: discount \: amount}[/tex]
[tex] \mathrm{ = 1250 - 250}[/tex]
= $ [tex] \mathrm{1000}[/tex]
[tex] \mathrm{lets \: find \: the \: Vat \: amount}[/tex]
[tex] \mathrm{vat \: amount = vat\% \: of \: sp}[/tex]
[tex] \mathrm{ = 12.5\% \: of \: 1000}[/tex]
= $ [tex] \mathrm{ 125}[/tex]
[tex] \mathrm{Now \: finally \: let's \: find \: the \: selling \: price \: with \: vat}[/tex]
[tex] \mathrm{selling \: price \: + \: vat \: amount}[/tex]
[tex] \mathrm{ = 1000 + 125}[/tex]
= $ [tex] \mathrm{1125}[/tex]
Therefore, The final sale of the necklace is $ 1125
Hope I helped
Best regards!
A customer enrolled in a 1-year product purchase plan that costs $60 per month. After 6 months, the customer received a monthly discount of 20%. What is the total amount the customer will pay for the 1-year plan?
Answer:
$432
Step-by-step explanation:
60*6=360
They paid $360 for the first 6 months.
20%*60=.2*60
0.2*60=12
12*6=72
They paid $72 for the last 6 months.
360+72=432
They paid $432
$648 is the total amount the customer will pay for the 1-year plan
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a customer enrolled in a 1-year product purchase plan that costs $60 per month.
After 6 months, the customer received a monthly discount of 20%.
We need to find the total amount the customer will pay for the 1-year plan.
Product Plan = $60 per month
Money he pay for 1 month = $ 60
Money He pay for first 6 month = 6 × 60 = $ 360
after 6 month he receives 20% discount monthly,
So, Now he pay for 1 month = 60 - 20% × 60
=60-20/100×60
=60-12=48
Money he pay for last 6 month = 6 × 48 = 288
Total Money he pay in a year = 360 + 288 = $ 648
Hence, $648 is the total amount the customer will pay for the 1-year plan
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Determine whether the following sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative. A researcher wishes to compare of and She obtains a random sample of who and determines each Determine whether the following sampling is dependent or independent. A. B. The sampling is independent because an individual selected for one sample does dictate which individual is to be in the second sample. C. The sampling is dependent because an individual selected for one sample does not dictate which individual is to be in the second sample. D. Indicate whether the response variable is qualitative or quantitative. A. The variable is because it . B. The variable is because it . C. The variable is because it . D. The variable is because it .
Answer:
The sampling is dependent because an individual selected for one sample does dictate about which individual to be selected in the second sample.
The variable is qualitative because it classifies the individual.
Step-by-step explanation:
The sample is dependent as the second individual selected in the sample is dependent on the first individual selection. The sample selection is not random and is dictated. The variables selected are qualitative in nature because they identify the quality of response variable which is non numerical in nature.
PLEASE HELP QUICK! Determine x value of: sqrt x + 8 - sqrt x - 4 = 2
Answer:
x=8
Step-by-step explanation:
[tex]\sqrt{x+8}-\sqrt{x-4}=2\\\sqrt{x+8}=2+\sqrt{x-4}\\\left(\sqrt{x+8}\right)^2=\left(2+\sqrt{x-4}\right)^2\\x+8=x+4\sqrt{x-4}\\8=4\sqrt{x-4}\\8^2=\left(4\sqrt{x-4}\right)^2\\64=16x-64\\x=8[/tex]