Answer:
1526.5
Step-by-step explanation:
To find the mean...
Add all of the numbers and then divide by how many numbers there are.
1600+1800+1205+1360+1205+1135+1895+1400+1955+1710 = 15265
15265/10 = 1526.5
b→ = ⟨−1,3⟩ and c→ = ⟨−11,−2⟩.
What is c→ + b→ in component form?
Enter your answer by filling in the blanks.
c→+b→ = ⟨ __ , __ ⟩
Answer:
-12,1
(-12î, 1j)
is the ans
Answer:
The answer is, (-12î, 1j)
Step-by-step explanation:
Definition of component form:The ordered pair that describes the changes in the x- and y-values is the component form of a vector. the ordered pair that describes the changes is [tex](x_{2} -x_{1} ,y_{2} -y_{1} )[/tex].
According, to the question:
= (-11-1),(-2+3)
= -12,1
= (-12î, 1j)
The component form are (-12î, 1j)
To know more component form here, https://brainly.com/question/13450744
#SPJ2
Khan uses 78ft of fence for a pen and the length is 25ft. What is the width
Answer:
The width is 14ft
Step-by-step explanation:
Given
[tex]Fence = 78[/tex]
[tex]Length = 25[/tex]
Required
Determine the width
To do this, we assume that the fence is a rectangle
So, we use the following formula.
[tex]Perimeter = 2 * [Length + Width}[/tex]
Where:
[tex]Perimeter = Fence = 78[/tex]
So, we have:
[tex]78= 2 * [25 + Width}[/tex]
Divide both sides by 2
[tex]39= 25 + Width[/tex]
Solve for Width
[tex]Width = 39 - 25[/tex]
[tex]Width = 14[/tex]
The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.60 per pound. How much of each type should be used to make a 32 pound mixture that sells for $6.24 per pound?
Round answers to the nearest pound.
pounds of cashews
pounds of Brazil nuts
Answer:
Pounds for cashew- 20.96
Pounds for Brazilian nut- 11.04
Step-by-step explanation:
Let c be the pounds of cashew
Let b ne the pound of Brazilian but
32×6.24
= 199.68
7.1c + 4.60b= 199.68.......equation 1
c + b= 32..........equation 2
From equation 2
c= 32-b
Sub 32-b for c in equation 1
7.1(32-b) + 4.60b= 199.68
227.3-7.1b+4.60b, = 199.68
227.3-2.5b= 199.68
-2.5b= 199.69-227.3
- 2.5b= -27.61
b= 27.61/2.5
b= 11.04
Sub 11.04 for b in equation 2
c+b= 32
c + 11.04= 32
c= 32-11.04
c= 20.96
Shown above is a slope field for the differential equation dydx=y2(4−y2). If y = g(x) is the solution to the differential equation with the initial condition g(−2)=−1, then, limx→∞g(x) is
The value limx→∞g(x) is zero option (c) is correct.
What is a differential equation?The differential equation involves the function and its derivative to represent a relationship between the functions and their derivative. In simple words, the differential equation is the mathematical relation that consists of one or more functions with its derivative.
We have a differential equation:
[tex]\rm \frac{dy}{dx} =y^2(4-y^2)[/tex]
[tex]\rm\frac{dy}{y^2(4-y^2)} = dx[/tex] (rearranging the equation to solve)
[tex]\int \rm\frac{dy}{y^2(4-y^2)} = \int dx[/tex]
[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+c[/tex] (after integrating both sides)
For the given initial condition g(-2) = -1
When x = -2, y = -1
[tex]\rm \frac{ln(|-1+2|)}{16} -\frac{1}{4(-1)} -\frac{ln(|-1-2|)}{16} = -2+c[/tex]
[tex]\rm \frac{1}{4} -\frac{ln(|-3|)}{16}+2 = c[/tex]
The value of c = 2.18
The equation we get:
[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+2.18[/tex]
As we can see the value of g(-2) is negative and from the graph of the above equation it goes to infinity and it touches the x-axis at the infinity.
The value [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] when x reaches infinity the value of function g(x) becomes zero. ie.
[tex]\displaystyle \lim_{x \to \infty}g(x) =0[/tex]
Thus, the value [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] is zero option (c) is correct.
Learn more about the differential equation here:
https://brainly.com/question/14620493
Suppose the point (3,-1) is changed to (3,0) on this rectangle. Change a second point
so the figure remains a rectangle. What is the area of the new rectangle?
Answer:
10 units I believe......
Answer:
The area is 10 sq. units
Step-by-step explanation: (-2, 1) would change to (-2, 0). So the width changes to 2 and the length becomes 5, making the area 10 sq. units
40 pts please help (:
Find the geometric probability of throwing a dart and hitting the yellow ring. You may assume the dart will not miss the target entirely.
Answer:
c
Step-by-step explanation:
Answer:
i think it d
Step-by-step explanation:
sorry if it turn out wrong
help please Im bout to fail.....
Answer:
it's the second to last one on the right side
Answer: (Not if I'm involved!)
Move the dot to the fourth tick mark to the right of zero.
Step-by-step explanation:
Each of the tick marks represent two, & 8 is the fourth positive multiple of 2. So move the dot to the fourth tick mark to the right of zero, which will represent 8.
Plsss help mark brain list
Answer:
105
Step-by-step explanation:
42 * 2 = 84
360 - ( 84+171 ) = 105
Answer:
arc RS = 105°
Step-by-step explanation:
arc RT = 2(42°) = 84°
arc RS = 360° - 84° - 171° = 105°
The question: " match each drawing with a triangle congruence postulate that can be used to prove the triangles are congruent, if any."
Possible answers
Side angle side (SAS)
Angel side angle (ASA)
Hypotenuse leg (HL)
Not possible
Answer:
1 : Hypotenuse leg (HL)
2: Angle side angle (ASA)
3: Side angle side (SAS)
Step-by-step explanation:
Given
See attachment for triangles
Required
Determine the congruence postulate
Figure (1):
From the attachment;
[tex]AC = BD[/tex] --- The hypotenuse
[tex]CB = CB[/tex] --- One other leg
Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL
Figure (2):
From the attachment, we have:
[tex]150^\circ = 150^\circ[/tex] --- Angle
[tex]15^\circ = 15^\circ[/tex] ---- Angle
The horizontal line that divides both triangles show that they have a congruent side.
Hence, the postulate is: ASA
Figure (3):
From the attachment, we have:
A pair of single marks (Side)
A pair of double marks (Side)
A pair of equal angles
Hence, the postulate is: SAS
A and b are positive integers and a-b=2. Evaluate the following: 4^1/2 / 2^b
The critic rating and audience score for 8 movies are shown in the table.
Critic Rating 72 80 65 23 28 60 41 35
Audience Score 64 92 90 48 55 70 44 80
An owner of a movie theater is investigating whether critic rating can be used to predict the mean audience score of movies. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate to estimate the mean change in audience score for each 1 point increase in the critic rating?
A. A one-sample t-test for means
B. A linear regression t-interval for slope
C. A two-sample t-interval for a difference between means
D. A matched-pairs t-interval for a mean difference
E. A two-sample Z-interval for a difference between proportions
Answer:
B. A linear regression t-interval for slope
Step-by-step explanation:
Given the data for the critic rating and audience score, the relationship between this vmaues acb be modeled using regression, the slope value helps give the average change in the dependent variable (audience svi per unit change in the value of the independent variable (critic rating). The t distribution is employed due to the relatively small sample size which
does not form an approximately normal distribution according to the Central limit theorem.
WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answer:
y= -1/4x
Step-by-step explanation:
Answer:
Step-by-step explanation:
y= -1/4x
14. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
32
19
5
9514 1404 393
Answer:
11.9
Step-by-step explanation:
The tangent relation tells you ...
tan(32°) = x/19
x = 19·tan(32°)
x ≈ 11.9
Betsy started a business 2 years ago. She had 8 customers in the first year. She added 18
customers in the second year. Betsy's goal is that in each of the next 4 years, she will have
three times as many customers as the year before. Betsy says her calculations in the table
below show that if she meets this goal each year, she will have 312 customers 4 years from
now. Is Betsy correct? Use the drop-down menus to explain your reasoning.
I need help !
Answer:
Step-by-step explanation:
If im correct it will be no because...
18 x 3 = 54
Now you do
54 + 54 = 216
I might be right or wrong (sorry if i got it wrong)
Answer:
Betsy's Calculations in step 1 are Incorrect because she should have multiplied 18*3^4 before adding 3
Betsy's Calucations in step 2 are Incorrect because she did not find the correct value of 3^4
If Betsy reaches her goal each year, she will have 1,466 customers 4 years from now.
Step-by-step explanation:
God helped me plus i had this question on the Iready 7th grade math diagnostic
Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 338 square units. Find the value ofr.
Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh[/tex]
Put all the values,
[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]
So, the value of r is equal to 7.33 units.
Four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party. PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%. A survey of 1000 voters asked each to identify the party that they would vote for in the next election. These results were PC=415, NDP=256, Liberal=271, and Green party = 58. Can we infer at 5% level of significance that the voter support is going to change in the next election?
For Observed I get 1000 and a 100 for the expected. The teacher says O-E always = 0???
Answer:
In no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.
Step-by-step explanation:
Given that four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party, and PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%, and the survey of 1000 voters asked each to identify the party that they would vote for in the next election, and its results were PC = 415, NDP = 256, Liberal = 271, and Green party = 58, to determine if it can be inferred at 5% level of significance that the voter support is going to change in the next election the following calculations must be performed:
PC = 40 - (415/1000 x 100) = 40 - 41.5 = -1.5
NDP = 30 - (256/1000 x 100) = 30 - 25.6 = 4.4
Liberal = 25 - (271/1000 x 100) = 25 - 27.1 = -2.1
Green Party = 5 - (58/1000 x 100) = 5 - 5.8 = -0.8
Therefore, as can be seen, in no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.
Find the volume of a pyramid that has a rectangular base that is 12 inches 10 inches and a vertical height of 9 inches.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.
This question is not complete, the complete question is;
When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.
a) What is the expected number of diversions
b) What is the probability of at least 400 diversions
c) What is the probability of fewer than 450 diversions?
Answer:
a) expected number of diversions μ is 406.32
b) the probability of at least 400 diversions is 0.6368
c) the probability of fewer than 450 diversions is 0.9861
Step-by-step explanation:
Given the data in the question;
n = 8465
π = 4.8% = 0.048
so expected number of diversions μ = nπ = 8465 × 0.048 = 406.32
and
σ = √(π(1 - π ) = √(8465 × 0.048(1 - 0.048 ) = √( 406.32 × 0.952 )
σ = √386.81664
σ = 19.6677
b) the probability of at least 400 diversions
P(at least 400 diversion ) = P( X ≥ 400 )
= P( X ≥ 399.5 )
so
z = (X - μ) / σ
we substitute
z = (399.5 - 406.32 ) / 19.6677
z = -6.82 / 19.6677
z = -0.35
so
P(Z > -0.35 ) = 0.500 + p( -0.35 ≤ z ≤ 0 )
= 0.5000 + p( 0 ≤ z ≤ 0.35 )
= 0.5000 + 0.1368
= 0.6368
Therefore, the probability of at least 400 diversions is 0.6368
c) the probability of fewer than 450 diversions
P(fewer than 450 diversion ) = P( X ≤ 450 )
= P( X ≤ 449.5 )
so
z = (X - μ) / σ
we substitute
z = (449.5 - 406.32 ) / 19.6677
z = 43.18 / 19.6677
z = 2.20
so
P(Z ≤ 2.20 ) = 0.500 + p( 0 ≤ z ≤ 2.20 )
= 0.5000 + 0.4861
= 0.9861
Therefore, the probability of fewer than 450 diversions is 0.9861
Please help, I'll mark the correct answer as brainiest!!!
Answer:
$1612
Step-by-step explanation:
12% of 2400
12/100 * 2400
0.12 * 2400 = 288
Amount to be paid :
2400 - 288 = 2112
Down payment = $500
Amount owed =
Amount to be paid - Down payment
$2112 - $500
= $1612
Hence, amount owed for installment loan = $1612
1/5 x 3/8 x (-5) as a fraction in simplest form
Answer:
-3/8
Step-by-step explanation:
nothing can be simplified further
How to simplify this expression?
(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)
Express the answer as 12^?.
Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.
Thanks!!
Answer:
[tex]12^-^2[/tex]
Step-by-step explanation:
I hope this helps.
Allison used 2 cups of flour to make a
cake, and of a cup of flour to make
a pie. If she started with 4 cups of
flour, how many cups of flour does she
have left?
Answer:
wouldnt she have 1
Step-by-step explanation:
well there might be a typo with and of a cup of flour but ya
I think it would be one
Question 30
What was the median annual earnings for all U.S. civilian workers in 2016?
O $51,980
O $49,630
O $41,778
O $46,230
A side of 6 feet, and a 120° angle
A. One
B. None. C. Many
Answer:
C. Many ang sagot............
Graph the polygon and its image after a reflection in the line x=4.
you are going to have to zoom in
Write 9/5 as a decimal number.
Answer:
1.8
Step-by-step explanation:
you have to divide 9 from 5 to get 1.8
Answer:
Decimal 1.8
Percentage 180%
Step-by-step explanation:
6 - 7x
a) constant binomial
b) linear binomial
c) quadratic binomial
d) cubic trinomial
Answer:linear binomial
Step-by-step explanation:
Answer:
B) Linear binomial.
Step-by-step explanation:
????
Is 4/5 closer to 0,1/2, or 1?
Answer:
1
Step-by-step explanation:
4/5 is closer to 1
if x is 6 what is x + 4
Answer:
put six on the place of x..
Step-by-step explanation:
So 6+4 =10 Answer
hope it helps