Answer:
A) t=0.2(60.5)
B) d=0.15(34)
C) t=0.9(157.3)
D) p=100(10.49/58.25)
E) t=0.85(94.2+0.2(94.2))
Step-by-step explanation:
A)
Let the tip be represented by t. The tip is 20% of $60.50:
t=0.2(60.5)
B)
Let the money they save be represented by d. Their discount is 15% of $34:
d=0.15(34)
C)
Let the new total be represented by t. Their discount is 10%, so they will only be paying 90% of $157.30t:
t=0.9(157.3)
D)
Let the percentage be represented by p. The tip is $10.49, to find this as a precent of the $58.25 bill, divide the tip by the bill and multiply by 100:
p=100(10.49/58.25)
E)
First find the total after the tip but before the coupon.
Their tip is 20% of $94.20, and their total before the coupon is $94.20 plus the tip: 94.2+0.2(94.2)
Now find their final total.
Let the final total be represented by t. The discount is 15%, so they will only be paying 85% of the total after tip:
t=0.85(94.2+0.2(94.2))
The component form of a vector is (-7.765,28.978) What is the direction angle for the vector measured counterclockwise from the positive x-axis?
Answer:
The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.
Step-by-step explanation:
Let be [tex]P(x,y)[/tex] a point containing the components of a vector, the direction angle for the vector regarding origin ([tex]\theta[/tex]), in sexagesimal degrees, is determined by the following formula:
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (1)
Where:
[tex]x[/tex] - x-coordinate of the point P.
[tex]y[/tex] - y-coordinate of the point P.
Let consider that [tex]P(x,y) = (-7.765, 28.978)[/tex]. After a quick inspection, we note that vector stands in the 2nd Quadrant ([tex]x < 0 , y > 0[/tex]). Then, the direction of the angle with respect to the positive x semiaxis is:
[tex]\theta = \tan ^{-1} \left(\frac{28.978}{-7.765} \right)[/tex]
[tex]\theta \approx 105.001^{\circ}[/tex]
The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.
Angle the given vector makes with the positive x-axis when measured counterclockwise is required.
The direction of the angle for the vector measured counterclockwise from the positive x-axis is 105°. The calculations have been shown below by using the concepts of vector.
VectorsThe given vector is (-7.765,28.978)
The angle is found by the formula
[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]
Here,
y = 28.978
x = -7.765
Substituting the given values we get
[tex]\theta=\tan^{-1}\dfrac{28.978}{-7.765}=-74.99=-75^{\circ}[/tex]
So, the required angle is
[tex]180-75=105^{\circ}[/tex]
Learn more about vectors:
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Using the GCF factor the given expression: 21xy + 14y
Answer:
7y(3x+2)
you take out the 7y from both sides
A plumber charges a $5 fee plus $12 per hour for labor. Which equation models the total cost
of a job?
Answer: y = 12x + 5
Step-by-step explanation:
Since the going rate is $12/hr, that will be the x coefficient. Since the starting fee is $5, that will be the y-intercept.
Ms. A. Lee is an advisor for the Walton College of Business and she is often asked by students what they should major in if they want to make a lot of money. Of course, her bias was to recommend the Walton College, but in order to make this recommendation with some evidence behind her she conducted a study in which she compared salaries (6 years after graduation) for a random sample of U. of A. graduates. She divided them into 2 groups: those who graduated from the Walton College and those who had any other major in the university. She entered her data into an Excel spreadsheet as illustrated below.
Walton Alumni Non-Walton Alumni
78000 45000
74000 54000
70000 52000
89000 41000
1. What is the independent variable in this scenario?
2. What is the dependent variable in this scenario?
3. How would you describe the research design in this scenario?
4. Assume Ms. A. Lee concluded there was no difference in salaries between colleges (Walton or Non-Walton), how many conditions to infer causation have been met?
Answer:
1. college
2, salary
3. true experiment
4. 2
Step-by-step explanation:
1. in this scenario the independent variable is the college. that is either walton college or non walton.
2. the dependent variable is the variable of interest. And this is salary. Students want to know what to major in that can give them a lot of salary when they start working.
3. This is a true experiment due to the random sample assigned.
4. 2 conditions to infer causation have been met.
Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 30% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 business owners.
(a) How many business owners in the survey plan to provide a holiday gift to their employees this year?
(b) Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter "0". Do not round your intermediate calculations.
(c) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts has decreased? We the null hypothesis. We conclude that the proportion of business owners providing gifts has decreased from 2008 to 2009. What is the smallest level of significance for which you could draw such a conclusion?
Answer:
a)x₁ = 24 business owners plan to provide a gift this year
b) p-value = 0,0017
c)p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease
Step-by-step explanation:
a) Sample size 80
proportion p₁ = 30 % p₁ = 0,3
Then x₁ = 80*0,3
x₁ = 24 business owners plan to provide a gift this year
b) Hypothesis Test
Null Hypothesis H₀ p₁ = 0,45
Alternative Hypothesis Hₐ p₁ < 0,45
p₁ = 0,3 then q₁ = 1 - 0,3 q₁ = 0,7
z(s) = ( p₁ - 0,45 )/ √p₁* q₁ / n
z(s) = - 0,15 / √0,002625
z(s) = - 0,15 / 0,05123
z(s) = - 2,9279
b)From z-table we find p-value = 0,0017
c) If α = 0,05 ( significance level ) as
p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease
Evaluate 20 + 6x when x = 0.
Answer:
If x=0 then the answer is 20.
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
6x0 = 0 so 20 plus 0 = 20 when x = 0 because x cancels out
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark (7) for the fraction bar.
10
(3,7)
Answer here
-10
10
(2, -1)
-10
Answer:
([tex]\frac{5}{2}[/tex], 3)
Step-by-step explanation:
I got 5/2 as my x variable and 3 for my y variable to being the midpoint. In which I added both my x variables provided ( 3 and 2 ) and then I divided them by two to get half of that (since you are looking for in between those two digits technically so you are wanting to find the midpoint or the middle of that line segment). I also did the same with the two y variables as well which were 7 and -1, then I divided both by two to get the variable 3.
Answer:
5/2, 3
Step-by-step explanation:
that should be your answer (hopefully)
Find the surface area of this sphere.
Round to the nearest tenth.
10 cm
Formulas for Spheres
S.A. = 4rr2
V = firer
?] cm2
Enter
Answer:
the answer is 62.8cm^2
Step-by-step explanation:
4•3.14•5
By using the formula for the surface area of the sphere [tex]S.A = 4 \pi r^2[/tex], the surface area of this sphere would be, [tex]S.A = 314[/tex] cm²
Used the formula of the surface area of the sphere,
[tex]S.A = 4 \pi r^2[/tex]
Where 'r' is the radius of the sphere.
Given that,
Diameter of a sphere = 10 cm
We know that the radius of the sphere is half of the diameter of the sphere.
Hence, the radius of the sphere is,
[tex]r = \dfrac{10}{2}[/tex]
[tex]r = 5[/tex] cm
Substitute r = 5 cm in the above formula,
[tex]S.A = 4 \pi r^2[/tex]
[tex]S.A = 4 \times 3.14 \times 5^2[/tex]
Therefore, the surface area of a sphere is,
[tex]S.A = 314[/tex] cm²
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help..................................
Answer:
20
Step-by-step explanation:
becauseit is just below 30
Solve
3x + 7 = 1
please show full working out
Answer:
-2 is answer
plz plz plz plz mark me brainliest
Step-by-step explanation:
* 3x + 7 =1
or 3x = 1 - 7
or 3x = -6
or x = -6/3
or x = -2
helpppppppppppooooo :p
Answer:
1) c. 10
2) a. 1 and 18
3) d. 17
4) I think it's actually 12 but I don't know
Help plz
answer 15 points
Answer:
A
Step-by-step explanation:
-9 must be a bigger number then x and it is a greater then not a greater or equal to sign menaing the circle will be empty and the blue part or x will be to the left of -9
Answer:
A
Step-by-step explanation:
Calculate the range for both sets of data:
Set A: 8.7, 1.8, 1.2, 1.4, 6.8, 0.9, 9.8
Set B: 2.7, 3.3, 8, 7.1, 4.6, 6.3
A worker at a mill is loading 8-1b bags of flour into boxes to deliver to a local warehouse.
Each box holds 10 bags of flour.
If the warehouse orders 4 tons of flour, how many boxes are needed to fulfill the order?
boxes are needed to fulfill the order.
Answer:
100
Step-by-step explanation:
Please help me out on this!!
Answer:
12.68
Step-by-step explanation:
find the common ratio of the geometric sequence 20 40 80
Answer:
2
Step-by-step explanation:
The smith family is shopping for a new car
Answer:
Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.
Step-by-step explanation:
A landscaper is constructing a rectangular garden with an area of 120 square feet. He draws the garden on paper and represents the length as (x-3) and the width as (x-7). Find the length and the width of the garden.
Options:
1. 3.00 feet
2. 4.00 feet
3. 0.65 feet
4. 4.65 feet
5. 7.65 feet
find the area of the shaded region of the large circle. give your answer to 1 decimal place.
Answer:
Step-by-step explanation:
area = [tex]\pi r^{2}[/tex]
so the area of the circle is
[tex]8^{2} \pi[/tex] which equals 64pi
BUT we have the white circles so we need to find their areas and subtract it
THE WHITE CIRCLES:
diameter = 4 so radius = 2
[tex]\pi 2^{2}[/tex] which equals [tex]4\pi[/tex]
which you double since theres TWO white circles so = [tex]8\pi[/tex]
so 64[tex]\pi -8\pi =56\pi[/tex]
[tex]56\pi =175.00[/tex]
Find the rate of change for the interval [5,15]
.
Mrs Tan packed 42 strawberry cookies and 49 chocolate cookies in boxes
such that each box had an equal number of each type of cookies. What was
the greatest number of boxes used if all the cookies were packed?
Answer:
6 boxes
Step-by-step explanation:
HCF of 42 and 49 gives us 7.
So, 7 is the greatest number of boxes used if all cookies were packed.
Mark me brainliest thenkss :)
What is the volume of the pyramid in the diagram?
25 cm
h = 15 cm
15 cm
20 cm
1,500 cm
2,500 cm
Answer:
this question answer is 1500cm^3
Calcula el área de un círculo con circunferencia de 37.68 unidades.
Answer:
Tu respuesta
Step-by-step explanation:
1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/
In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are:_____.
a. 14 and 255.
b. 255 and 14.
c. 13 and 240.
d. 14 and 240.
Answer:
d. 14 and 240.
Step-by-step explanation:
Given that
The regression model involving 14 independent variables and 255 observations
We need to find out the numerator and denominator freedom degrees
k = 14 regression variable
= n - k - 1
= 255 - 14 - 1
= 240 residuals
df=14,240
Now The degrees of freedom for F -critical is
F_{k,n-k-1}=F_{14,240}
So, The df of the numerator is 14 and df of the denominator is 240
Helen bought 1 pint of fruit juice. What is the quantity of fruit juice bought by her in fluid ounces?
A. 10 fl. oz.
B. 12 fl. oz.
C. 16 fl. oz.
D. 20 fl. oz.
Answer:
C. 16 fl. oz.
Step-by-step explanation:
hope this helps.
Simplify.
2x120x20
0 4x²/5
4x" 5
2x "/10
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4x ^ 11 sqrt 5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4x^11 [tex]\sqrt{5}[/tex]
Step-by-step explanation:
You can simplify the 20 inside of the radical by finding its prime factors. 20 has 3 prime factors: 5, 2, and 2. Since the 2 occurs twice, we can cancel out those 2s in the 20 itself and put a singular 2 outside of the radical. It is essentially turning [tex]\sqrt{20}[/tex] into 2[tex]\sqrt{5}[/tex]. Since we now have simplified that 20, the entire equation is now 4x[tex]\sqrt{5x^2^0}[/tex]. We can root x^20 to get x^10, and [tex]\sqrt{5}[/tex] stays that way. The entire equation is now 4x[tex]\sqrt{5}[/tex]x^10, which can be simplified to [tex]4x^1^1\sqrt{5}[/tex].
easy 5th grade math please look at photo and show work. Giving brainliest!!
Answer:
D) 13 1/8
Step-by-step explanation:
105/8=13 1/8 cups
Hope this helped! :)
PLEASE HELPPPP
Find the product or type
"impossible"
2
[3 1 -6
0
1]
[?]
Answer:
0
Step-by-step explanation:
(3 * 2) + (1 * -6) + (1 * 0)
6 + -6 + 0 = 0
The attendance at twenty-five high school football games was: 250, 400, 350, 750, 200, 1000, 1200, 800, 600, 900,
400, 300, 500, 800, 650, 450, 550, 750, 350, 600, 1250, 1450, 1500, 800, and 950.
Select all the samples whose mean attendance is above the mean attendance of the population
250, 400, 350, 750, 200
1000, 1200, 800, 600, 900
400, 300, 500, 800, 650
450, 550, 750, 350, 600
1250, 1450, 1500, 800, 950
Answer:
B and d
Step-by-step explanation:
Brainliest pls.
Jason is watering his garden. He uses 2.75 gallons of water each minute. How much
water does Jason use after watering his garden for 3 minutes?
Answer:
8,25
Step-by-step explanation: