Answer:
We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.
Step-by-step explanation:
Given :
City n x s
A 26 $4.05 $0.55
B 32 $5.15 $0.85
H0 : μ1 - μ2 = 0
H0 : μ1 - μ2 ≠ 0
n1 = 26 ; x1 = 4.05 ; s1 = 0.55
n2 = 32 ; x2 = 5.15 ; s2 = 0.85
Tstatistic :
(x1 - x2) / √(s1²/n1 + s2²/n2)
(4.05 - 5.15) / √(0.55²/26 + 0.85²/32)
-1.1 / 0.1849668
= - 5.947
Using the smaller n;
df = n - 1 ; 26 - 1 = 25
Pvalue = (-5.947, 24)
Pvalue = 0.000001
Since Pvalue < α ; We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.
Find the argument of the complex number z=1+iv3
Given:
The complex number is:
[tex]z=1+i\sqrt{3}[/tex]
To find:
The argument of the given complex number.
Solution:
If a complex number is [tex]z=x+iy[/tex], then the argument of the complex number is:
[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]
We have,
[tex]z=1+i\sqrt{3}[/tex]
Here, [tex]x=1[/tex] and [tex]y=\sqrt{3}[/tex]. So, the argument of the given complex number is:
[tex]\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}[/tex]
[tex]\theta =\tan^{-1}\sqrt{3}[/tex]
[tex]\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)[/tex]
[tex]\theta =\dfrac{\pi}{3}[/tex]
Therefore, the argument of the given complex number is [tex]\theta =\dfrac{\pi}{3}[/tex].
Find the area of composite figure
Answer:
c
Step-by-step explanation:
What is the slope of line a?
Given:
The graph of a line a.
To find:
The slope of the line a.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:
[tex]m=\dfrac{-2-1}{0-(-1)}[/tex]
[tex]m=\dfrac{-3}{1}[/tex]
[tex]m=-3[/tex]
The slope of the line a is -3. Therefore, the correct option is C.
What’s it the correct answer? I will mark as brainlest
Answer:
Step-by-step explanation:
(216/4)-20+3(5)
(54)-20+15
34+15 = 49
option 1
Answer:
49
Step-by-step explanation:
(6³ / 4) - 4 * 5 + 3(7 - 2)
= (216 / 4) - 20 + 3 * 5
= (216 / 4) - 20 + 15
= 54 - 20 + 15
= 34 + 15
= 49
Hope it helps
What are the intercepts of y = 4x − 2?
A. (2, 0) and (0, 0.5) B. (2, 0) and (0, 5) C. (2, 0) and (0, -2) D. (0.5, 0) and (0, -2)
Answer:
D. (0.5, 0) and (0, -2)
Step-by-step explanation:
We have the following equation:
[tex]y = 4x - 2[/tex]
x-intercept:
The x-intercept of an equation is the value of x when [tex]y = 0[/tex]. So
[tex]y = 0[/tex]
[tex]4x - 2 = 0[/tex]
[tex]4x = 2[/tex]
[tex]x = \frac{2}{4}[/tex]
[tex]x = 0.5[/tex]
So (0.5,0) is one of the intercepts
y-intercept:
The y-intercept of an equation is the value of y when [tex]x = 0[/tex]. So
[tex]y(0) = 4(0) - 2 = 0 - 2 = -2[/tex]
So (0, -2) is the other intercept.
The correct answer is given by option D.
Complete the square
to find the vertex
of this parabola.
2
x - 4y-12 x +68=0
Answer: (6,8)
Step-by-step explanation:
Answer:
(6, 8)
Step-by-step explanation:
13. Dave drove 3,720 miles in 62 hours. What was his average speed?
Answer:
60 mph
Step-by-step explanation:
Solve the system of equations using substitution.
4x – y = 7
3y – 12x = –21
(3, 5)
(6, 17)
no solution
infinite solutions
Answer:
infinitely many solutions
Step-by-step explanation:
solve by substitution:
solve equation 1 for y: - y = 7 - 4x; divide by -1 to simplify into y = -7 + 4x
Substitute - 7 + 4x into the second equation to obtain:
3(-7 + 4x) - 12x = -21, which yields:
-21 + 12x - 12x = -21, which simplifies 0 = 0
a result of 0 = 0 means infinite solutions such as:
(2,1), (3, 5), (4, 9), (5, 13), (6, 17)....
Answer:
infinite soulutions
Step-by-step explanation:
i just did it and it was right on ed2021...
Find the equation of the line below.
10
(4,8)
(1/2)
H10
10
Answer:
y=1/2x
Step-by-step explanation:
Find the y-int (0) and get the slope : 1/2.
Answer:
Letter B .................
Can somebody help me
An equation always, sometimes, never has one solution?
Answer: An equation may have more than one solution, or the solution(s) may be complex, rather than real, but it will always have one solution - and sometimes more than one.
Step-by-step explanation:
Which statement compares the limit as x approaches –4 for the two graphs? In both graph I and graph II, the limit is 5. In both graph I and graph II, the limit does not exist. In graph I, the limit does not exist, but in graph II, the limit is 5. In graph I, the limit is 8, but in graph II, the limit does not exist.
ANSWER: A
Answer:
(Thanks) it's A because the limit is in the same place on both graphs. The filled-in dot doesn't affect the limit at all, it just means the "real" value of x=-4 is 8, but the "limit" is still at 5 either way.
akin has some money in a box.if 3/8 of the money Is N4.80, how much money does he have in the box
Answer:
N12.8
Assume the money in the box Is M.
therefore, 3/4 of M=N4.80.
Recall N1=100k..... where k 'kobo'
N4.80=X
X=4.80x100. this gives us 480k.
this implies that 3/4 X M= 480k
therefore by cross multiplication, and dividing by 3; 3M=480 X 4
M = (480 X 4) ÷3
M=1280k
converting from kobo' to Naira. the rate of conversion is;
100k = N1
1280k=?
M in naira= 1280/100
M is N12.8
- 2 1/3 - (-5) =
gimme please, its the i ready thingie
Answer:
8/3
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
8 /3
Decimal Form:
2. 6
Mixed Number Form:
2 2 /3
1) Find the missing measures of this
isosceles triangle below .
48°
B.
C
MAC
Answer:
B measures 66°
C measures 66° .Sum of all angels is 180° .
Which point is located at the origin?
Answer:
A
Step-by-step explanation:
A is the answer because the origin is located at point (0,0)
Manufacturers are testing a new cologne before it's released. A machine uses sensors to determine if the cologne is working (maintaining a scent for 1 hour)
a. 15/82
b. 15/37
c. 22/37
d. 1
Answer:
It’s B
Step-by-step explanation:
2. Sally charges $8.50 an hour to babysit for the first hour and $7.50 an hour each additional hour. Write an expression to
represent the cost Sally charges if x is the number of hours after the first hour.
Answer:
c = 8.50 + 7.50x
Step-by-step explanation:
c = 8.5 + 7.50x
One spinner is divided into three equal sections numbered 1 to 3. A second spinner is divided into six equal sections numbered 4 to 9. How many total outcomes are there if both spinners are spun?
○ 9
○ 12
○ 18
○ 27
Answer:
The numbers do not matter. There are 3 outcomes for the first spinner and 6 outcomes for the second. 6x3 is 18. For each of the 3 outcomes for the first spinner there are 6 for the second.
1,4
1,5
1,6
1,7
1,8
1,9
2,4
2,5
2,6
2,7
2,8
2,9
3,4
3,5
3,6
3,7
3,8
3,9
Answer:
18
Step-by-step explanation:
The first spinner has 3 outcomes; the second spinner has 6 outcomes independent of the first spinner's outcome. In other words, what happens to the second spinner has nothing to do with the outcome of the second spinner. There are 3 x 6 = 18 possible outcomes for both spinners.
Here's a complete list of outcomes (see the attached image).
i need help pls!
this test is about angles, and i am having trouble with it.
Answer:
x = 9
Step-by-step explanation:
congruent angles have the same measure as each other
so;
4x + 14 = 6x - 4
(rearrange)
14 + 4 = 6x - 4x
(solve)
18 = 2x
(simplify)
18 divide 2 = 9
so;
9 = x
Find the inverse for each relation:
1. [(4,2),(5,1),(6,0),(7,-1)}
Answer:
the inverse for each relation:
1. [(4,2),(5,1),(6,0),(7,-1)} is
{(2,4),(1,5),(0,6),(-1,7)}
Please help me with this assignment!
Answer:
Since potential vice presidents are chosen before the election occurs, they are often selected partially due to their potential effect on the election. Presidential candidates often choose running mates who can capture key demographics or who have a high level of experience in an area that voters regard as important.
Step-by-step explanation:
4. A prism has a base area of 35 cm2 and a height of 5 cm. What is the volume of the prism?
Answer:
175cm^3
Step-by-step explanation:
Volume= Length x Width x Height
Length and width =35cm^2
H=5cm
V=175cm^3
Hope this helps!
Find the volume of the cone. Round your answer to the nearest hundredth.
A) 129.72m^3
B) 134.04m^3
C) 137.71m^3
D) 143.04
Answer:
can we get the figure plz
57:12
Which statement is true for the net and the solid it will form when it is folded?
7cm
8 cm
32 cm
a
b
front
с
8 cm
d
The lath of sidohune the lonth of cidae
Answer:
d
Step-by-step explanation:
Let f(x)=5x+2 and gx=x^2-4x+1
[tex]\frac{f}{g}(5)[/tex]
Answer:
find f(5) and g(5) then divide f(5) by g(5) i.e f(5)/g(5) Answer will be 25/6
The Sine Function
The average number of customers per day at a home improvement store is given in the following table. The sine regression equation was found to be y = 29.882sin (0.887 x 1.271) + 85.635, where x represents the day where 1 = Sun of the week, 7 = Sat of the first week, 8 = Sun of the second week, and 14 = Sat of the second week. Use this model to predict the average number of customers on Tuesday. Round to the nearest customer.
a. 70
b. 67
c. 71
d. 64
Please select the best answer from choices provided
Answer:
D. 64
Step-by-step explanation:
I calculated it logically
What is the probability of spinning a yellow?
What is the probability of spinning an odd number?
What is the probability of spinning a number less than 5?
Answer:
Answer given below
Step-by-step explanation:
P (spinning yellow) = 2 / 8 = 1 / 4
P (Spinning an odd number) = 4 / 8 = 1 / 2
P ( spinning a number less than 5) = 4 / 8 = 1 / 2
Hope it helps
The probability of spinning a yellow is 1/4.
The probability of spinning an odd number is 1/2.
The probability of spinning a number less than 5 is 1/2.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
From the spinner
Blue region = 3
Red region= 1
Yellow region = 2
Purple region = 2
So, the probability of getting Yellow
P (spinning yellow) = 2 / 8
= 1 / 4
and, the probability of getting odd number
P (Spinning an odd number) = 4 / 8
= 1 / 2
and, the probability of getting less than 5
P ( spinning a number less than 5) = 4 / 8
= 1 / 2
Learn more about Probability here:
https://brainly.com/question/30034780
#SPJ7
if cos theta = 3/5 and theta is in quadrant 4, tan 2 theta =
Answer:
16/9.
Step-by-step explanation:
I am assuming you mean tan^2 theta.
The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.
The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.
The tangent is negative in Q 4
So tan theta = -4/3.
tan^2 theta = 16/9.
What is the result when you combine only the constants in the following expression?
3 a minus 6 b + 3 minus 7 a + 10
Answer:
6b-4a+13
Step-by-step explanation:
3a-6b+3-7a+10
3+10=13
3a-7a=-4a
6b-4a+13
Answer:
13
Step-by-step explanation: