Given:
Discount = 40%
Sales tax = 7%
To find:
The total cost of levi jeans with an original price of x.
Solution:
Let x be the original price of the jeans. Then the price after 40% discount is
[tex]Price=x-40\%\text{ of }x[/tex]
[tex]Price=x-\dfrac{40}{100}x[/tex]
[tex]Price=x-0.4x[/tex]
[tex]Price=0.6x[/tex]
The price after 7% of sales tax.
[tex]Price=0.6x+7\%\text{ of }0.6x[/tex]
[tex]Price=0.6x+\dfrac{7}{100}\times 0.6x[/tex]
[tex]Price=0.6x+0.042x[/tex]
[tex]Price=0.642x[/tex]
Therefore, the total cost of the levi jeans with an original price of x is represented by the expression 0.642x.
In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074
Answer:
There is a sufficient evidence that the coefficient b1 is not zero
There is a sufficient evidence that the coefficient b2 is not zero
Step-by-step explanation:
Given
[tex]n = 30[/tex]
[tex]b_1 = 2.815[/tex]
[tex]Sb_1 = 0.75[/tex]
[tex]b_2 = -1.249[/tex]
[tex]Sb_2 = 0.41[/tex]
[tex]\alpha = 0.05[/tex]
Claim: Coefficient is zero
The null and alternate hypotheses are:
[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]
The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]
Calculate the rejection region
[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]
Calculate the degrees of freedom
[tex]df = n -2[/tex]
[tex]df = 30 -2[/tex]
[tex]df = 28[/tex]
On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:
[tex]t\ value = 2.048[/tex]
The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.
So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]
Testing the first independent variable
Calculate test statistic
[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]
[tex]t = \frac{2.815 - 0}{0.75}[/tex]
[tex]t = \frac{2.815 }{0.75}[/tex]
[tex]t = 3.753[/tex]
[tex]t = 3.753 > 2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Testing the second independent variable
Calculate test statistic
[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]
[tex]t = \frac{-1.249 - 0}{0.41}[/tex]
[tex]t = \frac{-1.249 }{0.41}[/tex]
[tex]t = -3.0463[/tex]
[tex]t = -3.0463 < -2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
what is the answer to 5,082 / 5 =
Answer
If you mean 5082 ÷ 5 than the answer is 1016.4
Step-by-step explanation:
Hope it helps!
Please help I don’t know these questions
calculate 30% of 500 kg
Solve and graph the inequality.
−x4−6≥−8
Answer:
Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]
Answer:
-4x ≥ 14
x ≥ -3.5
Graphed (numberline):
<-----------3.5---0------------->
could be x
A roulette wheel consists of 18 red slots, 18 black slots, and 2 green slots. A player can wager $1 that a marble will land in a red slot, in which case the player would gain a $1. If the marble lands in a slot that isn't red, then the player loses their $1 wager. Let X represent the player's gain from a random $1 wager on red. Here's the probability distribution of X along with summary statistics:
Lose Win
X = gain (S) -1 1
Р(X) 20/38 18/38
Мean: Ax-$0.05
Standard deviation: ax$1.00
Suppose a player decides to wager $5 instead of winning $5.
Let Z represent the player's gain from a random $5 wager on red. possible outcomes become either losing or , so
What are the mean and standard deviation of Z? dollars?
Answer:
-$0.26 ; $5
Step-by-step explanation:
Given that :
____________ Lose ______ Win
X =$1 _______ - $1 ________ $1
P(X) _______20/ 38 _____ 18/38
Mean, Ux = - $0.05
Standard deviation, σx = $1.00
If the wager is $5 instead of $1
Mean = Σx*p(x)
Mean = (-5 * 20/38) + (5 * 18/38)
Mean = - 2.6315789 + 2.3684210
Mean (μ) = −0.26
Standard deviation :
Sqrt(Σx²p(x) - μ²)
[(-5^2)*(20/38) + (5^2)*(18/38)] - (-0.26^2)
(13.157894 + 11.842105) - 0.0676
= 24.999999 - 0.0676
= sqrt(24.932399)
= 4.9932353
= 5
can somebody help me?
Answer:
D
Step-by-step explanation:
50 apples cost $25. How much would 75 apples cost?
Answer:
37.5
Step-by-step explanation:
If 50 apples cost 25 then all you need to do is 25 x 1.5 = 37.5
And we know this is correct because 25 divided by 2 is 12.5.
so 12.5 is how much for 25 apples and if you multiply 25 times 3 it is equal to 75 so you need to mutliply 12.5 times 3.
12.5 x 3 = 37.5
A theater owner wants to provide enough seating for 928 people. The main floor has 25 rows of 22 seats in each row. If the balcony has 21 rows, how many seats must be in each row to satisfy the owner’s seating requirements?
Answer:
18 seats in each row
Step-by-step explanation:
25 x 22 = 550
928 - 550 = 378
378 / 21 = 18
Racial dimorphism mesning
Answer:
Facial sexual dimorphism emerges at puberty: as the size and shape of the male and female faces increase with age, faces begin to show different secondary sexual characteristics (i.e., masculine or feminine).
what is the sum of 2/5 and 2/5 in simplest form
Answer:
The answer is 2/5
Step-by-step explanation:
2/5+2/5=4/5=2/5
Simplify the expression:
2n + 10(9 + 4n)
Answer:
42n+90
Step-by-step explanation:
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1900. How long did each mechanic work?
A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in the table. Confirm that the relationship is linear and give the constant rate of change and the initial value. Write it in the form of y=mx+b. *
Answer:
i do not know that one
Step-by-step explanation:
I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished
find an equation for the nth term of the sequence -4,-16,-64,-256
Answer:
this should be -262,144 because its -4^9 so you just keep multiplying by 4 until the ninth which is -262,144
Using the provided measures determine the measure of angle K.
A)30.5°
B)34.90
C)41.2°
D)58.0°
Answer:
B. 34.90°
Step-by-step explanation:
✔️First, find GF using Trigonometric function:
Reference angle = 58°
Adjacent length = GF
Hypotenuse = 6 cm
Apply CAH, thus:
Cos 58 = Adj/Hyp
Cos 58 = GF/6
GF = 6*Cos 58
GF = 3.17951558 ≈ 3.18 cm
✔️Find angle K using the Sine Rule:
[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]
Substitute
[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]
Multiply both sides by 3.18
[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]
[tex] sin(K) = 0.5716 [/tex]
[tex] K = sin^{-1}(0.5716) [/tex]
K = 34.8618741° ≈ 34.90°
7. Simplify
(12p27
(2p2q6)
Answer: 7776p^2q
Step-by-step explanation:
I think its perpendicular but I want to be sure. Will mark brainliest!
Answer:
Its perpendicular
Step-by-step explanation:
Because the slopes are recipricles of eachother
If f(x) = x + 2x - 3, what is the value of f(1 + 2)?
Answer:
6
Explanation:
substituting- f(x)= (1+2) + 2(1+2) -3
3 + 2(3)-3
3+6-3
=6
HOPE IT HELPS
ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500
is this right ? if not please help me !
ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Which table represents the statement "A computer repairman makes $25 per hour"?
Answer:
Table number 3
Step-by-step explanation:
25+25=50
50+25=75
Answer:
C
Step-by-step explanation:
For every 1 hour(h) 25 dollars(d) gets added. You can multiply 25 with however many hours you need to get the answer.
example: 4 hours would be 100 because 25×4=100
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
Answer:
[tex]y-10=-2(x-7)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point
Plug in the slope
[tex]y-y_1=-2(x-x_1)[/tex]
Plug in the given point (7,10)
[tex]y-10=-2(x-7)[/tex]
I hope this helps!
please help me on this
9514 1404 393
Answer:
10 ft
Step-by-step explanation:
The midsegment length is the average of the other two lengths.
(QR +PS)/2 = TU
QR +PS = 2×TU . . . . . . . . . . . . . . . multiply by 2
QR = 2×TU -PS = 2(14 ft) -18 ft . . . subtract PS; substitute given values
QR = 10 ft
Hi. I need help with the following questions. ( These arent multiple choice)
Layout:
1.
2.
3.
Answer:
The top blank is D. Quadrilateral
The middle blank is B. Parallelogram
The last blank if A. Square
Mason wants to host a housewarming party. The following equation represents how the cost of party depends on the number of attendees.
The equation is d= 16a
The variable \mathrm{a}a represents the number of attendees, and the variable d represents the cost in dollars.
Find the number of attendees who could be invited if Mason budgets a total of $80 for his party.
Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.
3x=18
x= 6
6 dollars in pocket
Answer:
32+s=55
Step-by-step explanation:
Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.
Figure A is a scale image of Figure B. Figure A: 7.2 , 4. Figure B: 3 , x. What is the value of x
Answer: 5.4
Step-by-step explanation:
Answer:
5.2
Step-by-step explanation:
Please answer the blanks
Answer:
5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12
The vaccination center located at Watsessing school supplies turkey and
veggie sandwiches to all workers. Mr. Milano organized the ordering of 80
sandwiches in all, 90% of which were turkey. How many turkey sandwiches did
they serve?