Answer:
Value of x = 15.1 unit (Approx.)
Step-by-step explanation:
Given:
For angle 54°
Base of triangle = 11 unit
Perpendicular of triangle = x unit
Find:
Value of x
Computation:
Using trigonometry function;
Tanθ = Perpendicular / Base
Tan 54 = Perpendicular of triangle / Base of triangle
Tan 54 = x / 11
1.376 = x / 11
Value of x = 1.376 × 11
Value of x = 15.136
Value of x = 15.1 unit (Approx.)
The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.
Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)
1 9 8.1 7 8 7.6
2 7 6 8 11 8
3 11 3.6 9 10 8
4 12 4 10 12 6
5 8 5 11 6 8.6
6 7 10 12 6 8
Required:
a. Determine the regression equation.
b. Estimate the selling price of a 10-year-old car (in $000).
c. Interpret the regression equation (in dollars).
Answer:
ŷ = -0.47876X + 11.17724
$6.4
Step-by-step explanation:
Given the data :
Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)
1 9 8.1 7 8 7.6
2 7 6 8 11 8
3 11 3.6 9 10 8
4 12 4 10 12 6
5 8 5 11 6 8.6
6 7 10 12 6 8
The estimated regression equation using a linear regression calculator is :
y = -0.47876X + 11.17724
With - 0.47876 being the slope ; and 11.17724 being the intercept
y = predicted variable (price of car) ; x = predictor variable (Age of car)
Selling price of a 10 year old car : x = 10
ŷ = -0.47876(10) + 11.17724
Price = 6.38964
About 6.4(000) dollars ($6,400)
According to the regression equation : The starting price of cars is about $11.18 (intercept) with the proved of cars declining by a value of $0.479(negative slope value) each year.
What is the value of 1 / 5 (6 + 8.5)?
c(x)=2x^3+3x^2-1 find rational zeros
Answer:
1/2
Step-by-step explanation:
The Rational Root Theorem says that any rational root has
1. a numerator that is a factor of the constant term
2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)
Numerator: [tex]\pm 1[/tex]
Denominator: [tex]\pm 2[/tex]
That means there are only two possible rational roots: [tex]\pm \frac{1}{2}[/tex]
Try them both by plugging them into the polynomial.
[tex]2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0[/tex]
Aha! The negative one-half value does not produce 0
ASAP pleaaase ASAP ASAP I’ll give a brainliest
A student had 10 marks in mathematics. But he remembers only 7 of them:
1,1,2,2,3,4,5. The mode of the marks is 3 and the mean is 2.9. What are the
missing marks? Once you manage to find these marks, create a frequency
table for the students' scores and visualize the results with a bar chart.
Answer:
The missing marks are 3, 3, and 5.
Step-by-step explanation:
Since the mode is 3, that means it's the number that occurs most often. The numbers 1 and 2 occur twice so there must be at least 3 3's on the list. But since the mean is 2.9, the third mark cannot be a 3 because it will make the mean only 2.7 so the 3rd mark can be either a 4 or a 5. Using 5 will make the mean 2.9. I take it that you know how to make a bar graph for this problem.
4) Express 1697 in Roman figures:
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
1697 ➳ MDCXCVII
Answer:
MDCXCVII
Step-by-step explanation:
. y=-3x2 + bx + c; (1, 0)
find the unknown coefficients
Answer:
[tex]y = - 3 {x}^{2} + bx + c \\ when \: (1,0) \\ 0 = - 3( {1})^{2} + b(1) + c \\ 0 = - 3 + b + c \\ b + c = 3 - - - (.) \\ at \: (0,0) \\ 0 = c \\ c = 0 \\ hence \: b = 3[/tex]
A marketing researcher must determine how many telephone numbers she needs to order from a sample provider to complete a survey of ATM users. The goal is to complete 400 interviews with ATM users. From past experience, she estimates that 70 percent of the phone numbers provided will be working phone numbers. The estimated incidence rate (percentage of people contacted who are ATM users) is 45 percent. Finally, she estimates from previous surveys that 37 percent of the people contacted will agree to complete the survey. How many telephone numbers should she order to complete the 400 interviews
Answer:
the required number of telephone orders to complete the 400 interviews is 3433
Step-by-step explanation:
Given the data in the question;
Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.
Thus, The working phone numbers = 70% × Y
Now, number of ATM users = 45% × The working ph0ne numbers
⇒ 45% × ( 70% × Y )
number of ATM users = 0.45 × 0.70 × Y = 0.315Y
Thus; Number of people contacted that agrees to complete the survey will be;
⇒ 37% × number of ATM users
⇒ 0.37 × 0.315Y = 0.11655Y
so, since the researcher needs at least 400 interviews
Hence;
0.11655Y ≥ 400
Y ≥ 400 / 0.11655
Y ≥ 3432.0034 ≈ 3433
Therefore, the required number of telephone orders to complete the 400 interviews is 3433
write an equivalent expression in word form
3/8 x (1 - 1/3)
Answer:
I think it is 1/4x not sure but try it
a stack of 20 identical boxes is 140cm tall Stefan takes 3 boxes of the top how tall Is the stack now
Answer:
119 cm
Step-by-step explanation:
20 - 3 = 17
(140/20)(17) = 119 cm
A group of friends wants to go to the amusement park. They have no more than $310 to spend on parking and admission. Parking is $9, and tickets cost $35 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Answer:
9 + 35x = 310
Step-by-step explanation:
Probability!
A spinner has an equal chance of landing on either red, blue, green, or yellow. You spin five times. What is the probability that spinner lands on yellow exactly two times?
10
you 5×2=10
that how you get your answer
Find the missing value in the ratio table. Then write the equivalent ratio
Answer:
The missing value in shirts is 28, and the missing value in jackets is 14.
Step-by-step explanation:
A jewelry store is featuring a diamond in the shape of a square pyramid. The side length of
the diamond is 8 millimeters and the slant height is 6 millimeters.
Answer:
128√5/3 mm³
Step-by-step explanation:
Since we are not told what to find, we can as well look for the volume of the pyramid
Volume of a square pyramid: V = (1/3)a²h
a is the side length of the square
h is the height of the pyramid
Given
a = 8mm
l² = (a/2)² + h²
l² = (a/2)² + h²
6² = (8/2)² + h²
h² = 6² - 4²
h² = 36 - 16
h² = 20
h = √20
Volume of a square pyramid = (1/3)*8²*√20
Volume of a square pyramid = 1/3 * 64 * 2√5
Volume of a square pyramid = 128√5/3 mm³
A candy company wants to create a wrap around label for a candy bar which will go around the candy bar. The candy bar is in the shape of a triangular prism where the triangle is an isosceles triangle. The company packages 24 candy bars in each case. How many square centimeters of paper will be needed to create labels for a case of candy bars?
Answer:
b
Step-by-step explanation:
PLEASE I need help really bad I only have 10 minutes left to turn it in!! I’ll mark you as brainliest please!!!
Answer:
Area=76.8
Perimeter=49.6
Good luck!
Solve equation by using the quadratic formula.
15x^2 + 13x = 0
Answer:
0 and - 13/15
Step-by-step explanation:
Which expression uses the associative property to make it easier to evalute?
Answer:
The correct option is (c).
Step-by-step explanation:
The given expression is :
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]
We need to use the associative property to make it easier.
The associative property for multiplication is as follows :
[tex]A\times (B\times C)=(A\times B)\times C[/tex]
We have,
[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]
Hence, the correct option is (c).
9 in
4 in
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
9.8in
Step-by-step explanation:
i think this right
what is the area of a rectangle in sqare inches
Answer:
Step-by-step explanation:
To find the area of a rectangle in square inches simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches. For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.
The average height of Sally, Jackson, Tina and David is 150 cm per
person. The average height of Sally, Jackson and Tina is 145 cm per
person. Tina is 5 cm taller than David. Jackson is 4/5 as tall as
David. How tall is Sally? (in centimeters)
Answer:
129 cm
Step-by-step explanation:
The total height of all the people: 150 × 4 = 600 cm
The total height of Sally, Jackson and Tina: 145 × 3 = 435 cm
David’s height: 600 – 435 = 165 cm
Tina’s height: 165 + 5 = 170 cm
Jackson’s height: 170 × 4/5 = 136 cm
Therefore, Sally’s height: 600 – 165 – 170 – 136 = 129 cm
Thenks and mark me brainliest :))
The height of Sally will be 133 centimeters and the height of Jackson is 132cm.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The average height of Sally, Jackson, Tina, and David is 150 cm per person. Then the equation is given as,
(S + J + T + D) / 4 = 150
S + J + T + D = 600 ...1
The average height of Sally, Jackson, and Tina is 145 cm per person. Then the equation will be
(S + J + T) / 3 = 145
S + J + T = 435 ...2
Tina is 5 cm taller than David. Then the equation will be
T = D + 5 ...3
Jackson is 4/5 as tall as David. Then the equation will be
J = (4/5)D ...4
From equations, 1 and 2, then we have
435 + D = 600
D = 165 cm
From equation 4, then we have
J = (4/5) x 165
J = 132 cm
From equation 3, then we have
T = 165 + 5
T = 170 cm
From equation 2, then we have
S + 132 + 170 = 435
S = 133 cm
The height of Sally will be 133 centimeters.
More about the solution of the equation link is given below.
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In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
FD ≈ 252.8 feet
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(20°) =
tan(20°) =
0.36397 =
FD =
FD = 252.77
FD ≈ 252.8 feet
amelia used 6 liters of gasoline to drive 48 kilometers.
how many kilometers did amelia drive per liter?
at that rate, how many liters does it take to drive 1 kilometer?
I don't really understand how to do this if you could help please help asap, thank you
Answer:
C
Step-by-step explanation:
Just use elimination strategy
She didn't see him either. (into affirmative)
Answer:
i Don't know this but other's can help you.
I need help with this
Answer:
is b
Step-by-step explanation:
porque si miras el (5) tienes que sacar la tercera parte pero la respuesta que es la mitad es 2
PLEASE HELP:(
In the book Cinder, What happened just after Prince Kai hired Cinder to fix his android?
The baker, Chang Sacha, showed symptoms of the plague and was taken away.
Adri sent her a comm telling her the apartment building was on fire.
A hover malfunctioned and crashed into Cinder's booth, destroying it.
She saw Pearl and her friends tormenting a young cyborg boy in the market.
Answer:
Adri sent her a comm telling her the apartment building was on fire.
Step-by-step explanation:
good luck
Find the measure of each numbered angle !! (You don’t have to answer for all of them, I just need at least one )
Answer:
7. 123
8. 38
9. 68
10. 65
11. 113
12. 52
Step-by-step explanation:
Answer:
7) 123°
8) 38°
9) 68°
10) 65°
11) 113°
12) 52°
Find the product for each of the following.
Answer:
1 10/17
Step-by-step explanation:
make 45 a fraction by putting a denominator of 1
3/85 * 45/1
3*45 = 135
85*1 = 85
Simplify 135/85 = 1 10/17
If x - 12y= -210 and x -6y=90, then x=
Answer: x = -30
Step-by-step explanation:
y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x
The solution to the system of equations is x = 390 and y = 50. The value of x is equal to 390.
To find the value of x, solve the system of equations using the method of substitution . Let's use the method of elimination:
Given equations:
x - 12y = -210 (1)
x - 6y = 90 (2)
To eliminate x, we can subtract equation 2 from equation 1:
(x - 12y) - (x - 6y) = (-210) - 90
Simplifying the equation:
x - 12y - x + 6y = -210 - 90
-6y = -300
Divide both sides of the equation by -6:
y = -300 / -6
y = 50
Now, substitute the value of y back into either equation:
x - 6(50) = 90
Simplify the equation:
x - 300 = 90
Add 300 to both sides of the equation:
x = 90 + 300
x = 390
Therefore, the solution to the system of equations is x = 390 and y = 50.
Learn more about Substitution method here:
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Name the 4Ps of marketing.
Answer:
Product – Attributes of an organization or offering within this segment include delivery system design, technology, quality, services provided and their availability.
Price – This silo of the marketing mix includes costs to users/supporters, payment periods, arrangements and terms. Note: Some have also argued “costs” are more than dollars … a full cost analysis should include emotional (for those seeking greater purpose, advancements, victory), sacrificial (for people giving time, energy, focus) and relational (what does one’s association with an organization do for their relationships … will people think more or less of them).
Place – An often-overlooked part of the marketing mix, this “P” covers strategy and executional elements surrounding service distribution channels, coverage, locations, logistics and e-services.
Promotion – Likely the most known aspect of the marketing mix, this piece considers strategies and tactics related to advertising, logo/identity and promotions. But it also covers development/fundraising, communications, events and public relations as they are all tools to be considered and deployed as part of the greater marketing and branding strategy.