Select the correct answer.
Solve the system of equations.
y= 2x + 3
y= x2 + 3x + 3
Answers
9514 1404 393
Answer:
A. (-3, -3) and (2,7)
Step-by-step explanation:
Read the points of intersection from the graph. They are ...
(-3, -3) and (2,7) . . . . matches choice A
Related Questions
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).
Answers
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.
Help me plsssssssssssssssssssssssssss
Answers
number 7 is as follows Answer: C18.9
Step-by-step explanation:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. so (5.65x2)+(3.8x2)=18.9 cm
Answer:
2 is F. 768 because all you have to do is mulltiply base times height oh and 7 is C
Step-by-step explanation:
A pharmaceutical company claims that one of its drugs works on 90% of those who have a certain ailment. An experimenter, suspicious that the company is overexaggerating the drug's efficacy, decides to collect data to test the pharmaceutical company's claim to see if the true efficacy might be less. Of the 250 individuals surveyed, 215 individuals said the drug helped their ailment.
a. What is the null hypothesis?
b. What is the Z-value?
c. Based on an alpha of .10, should we reject or fail to reject the test?
d. What is the result of finding a z-statistic that is more extreme than the critical value?
Answers
Answer:
Below is the solution to the given points:
Step-by-step explanation:
Please find the complete question in the attached file.
For point a:
[tex]H_0 : p \geq 0.90[/tex]
For point b:
[tex]z=\frac{\frac{x}{n}-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{\frac{215}{250}-0.90}{\sqrt{\frac{0.9 \times 0.10 }{250}}}= -2.11\\\\[/tex]
For point c:
[tex]Z_{critical} =z_{\alpha}=-1.28[/tex]
since the test statistics [tex]< Z_{critical}\\\\[/tex]
Reject [tex]H_o[/tex]
For point d:
[tex]P(|z \leq -2.11|)=0.0174[/tex]
a class has 32 pupils 18 are boys the others are girls 12 pupil from this class went on trip one of these 12 pupils is chosen at random there is an even chance that the chosen pupil is a girl how many girls stayed in the class
Answers
32 in class
18 boys in class
14girls in class
12 on trip
Half are girls 6 half are boys 6
So now that you organized your information how many girls are still in class room?
14-6=8
Can someone help me pleaseeeee
Answers
Answer:
The Table Answer are
-2=-1
-1=3
0=7
1=11
2=15
Second Table is
-3=-5
-1=3
1=11
3=19
5=27
Step-by-step explanation:
I did the math
what is the volume if a hemisphare with a diameter of 10cm
Answers
Answer:
volume of hemisphere=2/3πr³
2/3×22/7×5³261.90cm³hope it helps.
Help please with math!
Answers
Answer:
7. D. Obtuse
8. D. 5
9. C. 117°
Step-by-step explanation:
Step 1: Define.
Acute angles - angles less than 90°Right angles - angles that equal 90°Straight angles - angles that equal 180°Obtuse angles - angles above 90° but less than 180°.-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Step 2: Solve.
7. The angle presented is an obtuse angle because it is more than 90°, but less than 180°.
-------------------------------------------------------------------------------------------------------------
Step 2 continued: Solve.
8. 140° and 8x° are supplementary angles; this means both angles have a sum of 180°.
[tex]140 + 8x = 180[/tex]
The first step to finding 'x' is to subtract 140 from 140 and 180.
[tex]140 - 140 = 0[/tex] (cancels itself out)
[tex]180 - 140 = 40.[/tex]
Now we are left with:
[tex]8x=40.\\[/tex]
The last step to solving this is dividing 40 by by the coefficient.
[tex]40/8=5[/tex]
[tex]x=5.[/tex]
------------------------------------------------------------------------------------------------------------
Step 2 continued: Solve.
9. As I mentioned before, supplementary angles are two angles that have a sum of 180°.
If angle 1 is 63, then angle 2 is..
[tex]180 - 63 = 117[/tex]
Angle 2 is 117°.
Here is an attachment to make number 8 easier to understand.
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y)6
are
A. 0, 6, 15, 20, 15, 6, 0
B. 1, 6, 15, 15, 6, 1
C. 1, 6, 15, 20, 15, 6, 1
D. 0, 1, 6, 15, 15, 6, 1,0
Answers
Distance between points A(5,3) and B(7,-4)
Answers
Answer:
The distance between the two points is [tex]\sqrt 53[/tex]
Step-by-step explanation:
First you find the distance between the x values which is 2 units and then you find the distance between the two y values which is 7 units. Then you use the pythagorean theorem to find the distance between the two points. Since the distance between the x values is 2 and the distance between the y values is 7 then you do 2²+7² and you get the square root of 53 since the pythagorean theorem equation is a²+b²=c².
9 in
4 in
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answers
Answer:
9.8in
Step-by-step explanation:
i think this right
ion
What is the total surface area of a pyramid with a square base with sides of 12 cm, where the faces
have a slant height of 15 cm?
15 cm
On this side.
A
= 0.3333333
12 cm
O A 144 cm?
OB 234 cm
OC 360 cm
OD 504 cm?
Answers
Answer: 504
Step-by-step explanation:
Area: 4 triangles + square
Triangle area = 1/2 x b x h
Square = side x side
4(1/2 x 12x 15) + 12x12
= 504
ILL GIVE BRAINLEST, find the value of x and show work
Answers
Answer:
90°+90°+64°+x=360°{sum of angle of quadrilateral is 360°}
244°+x=360°
x=360°-244
x=116°
hope it helps.
Find the missing value in the ratio table. Then write the equivalent ratio
Answers
Answer:
The missing value in shirts is 28, and the missing value in jackets is 14.
Step-by-step explanation:
In the triangle, what is the degree measure of angle ABC ?
Answers
Answer:
135 - 25 = 110
Step-by-step explanation:
Answer:
m∠ABC = 110°
Step-by-step explanation:
There is an exterior angle given, at about point C. This can be utilized to find the interior angle, as they form a linear pair and ergo are supplementary. So,
180° - 135° = 45°
∠C = 45°
Now, you know that a triangle contains 180°. So, use ∠A + ∠B + ∠C = 180° to find the missing angle.
25° + ∠B + 45° = 180°
70° + ∠B = 180°
∠B = 110°
∠B in this case can also be written as ∠ABC.
Please find missing side length!
Answers
Answer:
[tex]4\sqrt{3}[/tex]
Step-by-step explanation:
64 - 16 = 48
49 = 16 x 3
ur finding side length a
a = c^2 - b^2
a = 8^2 - 4^2
a = 64 - 16
a = 48
48 squared is 6.93
rounded is 7
Robin had picked 7 bags of oranges. How many glasses of orange juice could she make if each glass took one-seventh of a bag?
Answers
Answer:
7 Glasses
Step-by-step explanation:
One glass of orange juice needs 1/7 of a bag, she brought 7 bags which all adds up to a full 7 glasses
Answer:
7
Step-by-step explanation:
if it takes 1/7 of a bag to make a glass and there are 7 oranges in a bag you can assume you can make 7 glasses
A machine that manufactures automobile parts produces defective parts 16% of the time. If 9 parts produced by this machine are randomly selected, what is
the probability that fewer than 3 of the parts are defective?
Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Answers
Answer:
0.84 = 84% probability that fewer than 3 of the parts are defective.
Step-by-step explanation:
For each part, there are only two possible outcomes. Either it is defective, or it is not. The probability of a part being defective is independent of any other part, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A machine that manufactures automobile parts produces defective parts 16% of the time.
This means that [tex]p = 0.16[/tex]
9 parts:
This means that [tex]n = 9[/tex]
What is the probability that fewer than 3 of the parts are defective?
This is:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.16)^{0}.(0.84)^{9} = 0.2082[/tex]
[tex]P(X = 1) = C_{9,1}.(0.16)^{1}.(0.84)^{8} = 0.3569[/tex]
[tex]P(X = 2) = C_{9,2}.(0.16)^{2}.(0.84)^{7} = 0.2720[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2082 + 0.3569 + 0.2720 = 0.8371[/tex]
Rounding to two decimal places, 0.84.
0.84 = 84% probability that fewer than 3 of the parts are defective.
PLEASE HELP! 10 pts. i just need the letters in order :))
pythagorean theorem.
Answers
Answer:
Start A-E-I-J-F-K-G-C-H-Escape
Step-by-step explanation:
Start A-E-I-J-F-K-G-C-H-Escape
12) A survey found that 60% of the people by used cars. If a car dealership has 3,500 car buyers, predict how
many buyers purchased a used car.
Answers
Answer:
The correct answer is 2100.
(60% of 3,500 = 2,100)
Step-by-step explanation:
Part A
The graph of which quadratic function has roots of 7 and 3 and passes through (2, 10)?
Multiple choice question.
A)
f(x)=x2+10x+21
B)
f(x)=x2 – 10x+21
C)
f(x)=2x2 – 20x+42
D)
f(x)=2x2+20x – 42
Part B
Select the correct choices to complete the sentence.
The graph of the function has a , 1 of 1.
minimum
maximum
Answers
Answer:
C
Step-by-step explanation:
because The graph of which quadratic function has roots of 7 and 3 and passes through (2, 10), so therefore its C
The equation f(x) = 2x² -20x +42 and the function has minimum at x=5 which is f(5) = -8 option (C) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Part A)
The quadratic function has roots of 7 and 3
f(x) = (x - 7)(x - 3)
f(x) = x² -3x -7x +21
f(x) = x² -10x +21
Multiply by:
f(x) = 2x² -20x +42
Plug (2, 10)
10 = 8 - 40 +42 = 10
Part B) From the graph, the function has minimum at x = 5
f(5) = -8
Thus, the equation f(x) = 2x² -20x +42 and the function has minimum at x=5 which is f(5) = -8
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ2
Maas has a bank account with less than $400 in it.his bank pays no interest on that account,and charges $2 per month for each month the account is below $500 how much will be in Maaz account if he makes no deposits or withdrawals,after two years?
Answers
Answer:
400 - 2 (24 months) = $352
Step-by-step explanation:
The balance in Maas account after two years will be $352.
Mass has a bank account with less than $ 400 in it. He pays charges of $ 2 per month if account has less balance than $500.
We have to find out that if he doesn't deposit or withdraws any amount , what will be balance of his account after 2 years ?
What will be the value if 2 times of 400 is added to 2 times of 400 ?
The value will be 1600.
We know that no. of months in 1 year = 12 months
No. of months in 2 years = 24 months
As , bank charges $2 per month if the balance is less than $500.
⇒ for 24 months the charges will be ;
= 24 × 2 = $48
The balance in Maas account after 2 years will be
$ 400 - $ 48 = $ 352.
Thus, the balance in Maas account after two years will be $352.
To learn more about unitary methods click here ;
https://brainly.com/question/25027260
#SPJ2
daughter is 23 years younger than her mother if the sum of their age is 35 years find their age
Answers
Answer:
Step-by-step explanation:
let the age of mother be x
according to the question ,
x+x-23=35
2x=35+23
x=58/2
x=29
since daughter is 23 years younger than mother
daughter age=29-23
=6
therefore the age of mother is 29 and daughter is 6 years
Find the product for each of the following.
Answers
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
1. Use a straightedge to construct a line that goes
through points A and B. Label the line l.
2. Which axis is parallel to line l?
10
Which axis is perpendicular to line l?
3
Plot two more points on line l. Name them Cand D.
51
4. Give the coordinates of each point below.
B.
A:
B:
С.
D:
0
5
10
5. Give the coordinates of another point that falls on line l with a y-coordinate greater than 20.
My
Answers
Answer: A
2". 1. 0 a. Put a square box at the origin of the number line. b. Plot point C so it is located at 2 ... d. Plot a point at the midpoint of C and E. Label it H. Lesson 2. 1. Name the ... 2. Line & passes through point H and is parallel to the y-axis. Construct line l.
Step-by-step explanation:
Step-by-step explanation:
How do you find the area under a curve?
Answers
Answer:
The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive.
Step-by-step explanation:
In 2013 the Los Angeles Dodgers opening
day payroll was about $2.16 10^8 and the
Houston Astros opening day payroll was
about $2.4 x 10^7. How much higher was
the Dodgers' payroll?
Please help, I’m bad at math.
Answers
Answer: 1.92 x 10^8
Step-by-step explanation:
McKenzie needs to practice clarinet for 10 hours this week. On the first day she practiced 1 1/2 hours. On the second day she practiced 1 1/4 hours. How many more hours does McKenzie need to practice?
Answers
Answer:
7 1/4
Step-by-step explanation:
1 1/2 + 1 1/4 = 2 3/4
10 - 2 3/4= 7 1/4
What is the value of 1 / 5 (6 + 8.5)?
Answers
PLEASE I need help really bad I only have 10 minutes left to turn it in!! I’ll mark you as brainliest please!!!
Answers
Answer:
Area=76.8
Perimeter=49.6
Good luck!
Plz help me well mark brainliest if correct
Answers
Answer:
63
Step-by-step explanation:
smallest is 38
biggest is 63
Smallest: 23
Biggest: 63
Your welcome