Answer:
d = 1650 milesStep-by-step explanation:
Let the distance be d
Then the time in travel is
d/60 one way, d/50 on returnThe round trip would take 1/2 hours longer if the average speed was 55 mph
d/60 + d/50 = 2d/55 + 1/2d/60 + d/50 - 2d/55 = 1/2LCM(60,50,55) = 11*12*5*5 = 3300
55d/3300 + 66d/3300 - 120d/3300 = 1/2d/3300= 1/2d = 1650 milesAnswer:
d= 1650 miles
Step-by-step explanation:
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Mark this and return
Answer:Side C H
Step-by-step explanation:
Ans
C
Step-by-step explanation:
took the test made 100
Every time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false.
Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when the passenger has no weapon, and (4) you allow the passenger to board her flight when the passenger has no weapon.
1. Which of the following outcomes corresponds to a Type I error?A. You allow the passenger to board his flight when the passenger has a weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You allow the passenger to board his flight when the passenger has no weapon.D. You select the passenger for further inspection when the passenger has a weapon.2. Which of the following outcomes corresponds to a Type II error?A. You allow the passenger to board his flight when the passenger has no weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You select the passenger for further inspection when the passenger has a weapon.D. You allow the passenger to board his flight when the passenger has a weapon.As a security screener, the worst error you can make is to allow the passenger to board his flight when the passenger has a weapon. The probability that you make this error, in our hypothesis testing analogy, is described by _____.
Answer:
1. A. You allow the passenger to board his flight when the passenger has a weapon.
2. B. You select the passenger for further inspection when the passenger has no weapon.
Explanation:
1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is actually true, but the airport security screener incorrectly concluded it is false. In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight when he actually did have one.
2. While, a Type II error means that the assumption "the passenger has a weapon" (null hypothesis) is actually false, but the airport security screener incorrectly concluded it is true. In other words, he assumed the passenger had a weapon and selected the passenger for further inspection when he actually didn't have one.
PLS I REALLY NEED HELP! what is the range of graph!
You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $7 per guest and averaged 345 guests per night. The next week you charged $10 per guest and averaged 300 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p. q(p) =
(b) Find the nightly revenue R as a function of the cover charge p. R(p) =
(c) The club will provide two free non-alcoholic drinks for each guest, costing the club $2 per head. In addition, the nightly overheads (rent, salaries, dancers, DJ, etc.) amount to $2,000. Find the cost C as a function of the cover charge p. C(p) =
(d) Now find the profit in terms of the cover charge p. P(p) = Determine the entrance fee you should charge for a maximum profit. p = $ per guest
(a) The number of guest per night=p,
and the cover charge for one night per person=q.
Let the liner demand equation be [tex]q(p)=mp+c\cdots(i)[/tex],
where m and c are constants.
Given that for the first week: q=345 and p=$7 and
for the second night: q=300 and p=$10.
Put these values in equation (i), we have
345=7m+c
[tex]\Rigntarrow c=345-7m\cdots(ii)[/tex]
and
300=10m+c
[tex]\Rightarrow 300=10m+(345-7m)[/tex] [from equation (ii)]
[tex]\Rightarrow 3m=-45[/tex]
[tex]\Rightarrow m=-15[/tex]
and from equation (ii),
[tex]c=345-7\times(-15)=450[/tex].
Hence, the required demand equation is:
[tex]q(p)=-15p+450\cdots(iii)[/tex]
(b) Revenue = (Number of guests) x (Cover charge)
R=qp
[tex]\Rightarrow R(p)=(-15p+450)p[/tex] [from equation (iii)]
[tex]\Rightarrow R(p)=-15p^2+450p\;\cdots(iv)[/tex]
(c) The costs per night for drinks for the number of guest p is $2p and the nightly overheads is $2000.
So, the required cost function is
[tex]C(p)=2p+2000\;\cdots(v)[/tex]
(d) Profit=(Revenue)-(Total costs)
i.e [tex]P(p)=R(p)-C(p)[/tex]
Using equations (iv) and (v), we have
[tex]\Rightarrow P(p)=(-15p^2+450p)-(2p+2000)[/tex]
[tex]\Rightarrow P(p)=-15p^2+448p-2000.[/tex]
Now we have the profit function as function of cover charge (entry fee) per person.
So, to get the maximum profit, P, differentiate the profit function with respect to the cover charge, q and equate it to zero to get the eqtremum point.
[tex]\frac {dP}{dq}=0[/tex]
[tex]\Rightarrow -30p+448=0[/tex]
[tex]\Rightarrow p=14.93[/tex]
This point is either maxima or minima, so differentiate the profit function twice to to ensure the value of p corrosponding to what.
[tex]\frac {d^2P}{dq^2}=-30[/tex]
This the second deravitive is negative, so p=14.93 is the value for maximum profit.
Hence, for the maximum profit, the cover charge per guest is $14.93.
the rectangle below has a total perimeter of 125cm:
write an equation and solve it to find the length of the longer side of the rectangle
Explain why the function is differentiable at the given point.
f(x, y) = 5 + x ln(xy − 9), (5, 2)
Step-by-step explanation:
Given the function
f(x, y) = 5 + x ln(xy − 9) at the point (5, 2)
For the function to be differentiable at the given point, the differential of the function with respect to x and y must be continuous at the point.
Fx is the differential of the function with respect to x.
Using product rule to get f(x):
fx = 0 + x(1/(xy-9)y) + ln(xy-9)
fx = xy(1/(xy-9)) + ln(xy-9)
Substitute point (5, 2) into fx
fx = 5(2)(1/5(2)-9) + ln(5(2)-9)
fx = 10(1/(10-9)) + ln(10-9)
fx = 10(1/1) + ln1
fx = 10 + 0
fx = 10
For fy:
fy = 0 + x²(1/(xy-9))+ 0
fy = x²(1/(xy-9))
Substitute point (5, 2) into fy
fy = 5²(1/(5(2)-9))
fy = 25(1/10-9)
fy = 25(1/1)
fy = 25
Next is to calculate f(5,2)
f(5,2) = 5 + 5 ln(2(5) − 9)
f(5,2) = 5 + 5 ln(10− 9)
f(5,2) = 5 + 5 ln1
f(5,2) = 5 + 5(0)
f(5,2) = 5
Since fx ≠ fy, hence the function is not differentiable at the given point
Find the cube root three into 125a6
Answer:
✅ 5a²⬇ Down Below is from Edge 2020 ⬇
Which value would make the statement true?
Answer:
4
Step-by-step explanation:
cause 2/4=1/2 which is greater than 4/12
Answer:
4
Step-by-step explanation:
Because if you plug in four then you reduce both 1/2 is greater then 1/4.
Hello someone plz help for brainliest
Answer:
-√4. is ur ans babes ok
and h r u
Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 along with an interest of $243. What was the annual interest rate? Round your answer to one decimal place
Answer: 1.8%
Step-by-step explanation:
The annual interest rate is 1.8% if Moira borrowed $4,500 from her grandfather to pay for her first year of college.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given that:
Moira borrowed $4,500 from her grandfather to pay for her first year of college.
Three years later, she repaid the $4,500 along with an interest of $243.
Using the formula:
I = Prt
P = $4500
I = $243
t = 3
243 = 4500(r)(3)
243 = 13500r
r = 0.018
r = 1.8%
Thus, the annual interest rate is 1.8% if Moira borrowed $4,500 from her grandfather to pay for her first year of college.
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what is the integration of ∫e²ⁿdx please answer as fast as possible.
Answer:
[tex]e^{2n}x + C[/tex] (since n is assumed to be a constant when integrating with respect to x)
Step-by-step explanation:
You are integrating with respect to x, but [tex]e^{2n}[/tex] has no x-terms. Thus, it is considered a constant. The integral of any constant is equal to the constant multiplied by x.
Example: the integral of 2 is 2x, since the derivative of 2x is 2.
[tex]\int {e^{2n}} \, dx = e^{2n}x + C[/tex]
If you were integrating [tex]e^{2x}[/tex] with respect to x, it would look like this:
Since...
[tex]\frac{d}{dx} (e^{ax}) = ae^{ax}[/tex]
The integral of [tex]e^{ax}[/tex] is:
[tex]\int{e^{ax}} \, dx = \frac{e^{ax}}{a} + C[/tex]
[tex]\int {e^{2x}} \, dx = \frac{e^{2x}}{2} + C[/tex]
Note: C is a constant. It can be any number.
Answer: [tex]e^{2n}x + C[/tex] (since n is assumed to be a constant)
Find the mode:2,4,6,8,4,2,2,4,6,6,4
Answer:
4
Step-by-step explanation:
Mode is the number used most often in a data set. Four shows up the most here. If there are two numbers that occur the same amount of times, they are both the mode etc.
Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Complete the following payroll register. (Use the percentage method to calculate FIT for this weekly period.)
Answer:
Claimed 4 allowances at a rate of $76.90 per allowance for weekly payroll.
Taxable income is therefore;
= 3,500 - (76.90 * 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, Pat falls into the $3,073 to $4,597 bracket where tax is $565.15 plus 28% of anything above $3,073. Status is married.
= 565.15 + (28% * (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
Social Security
= Gross pay * 6.2%
= 3,500 * 6.2%
= $217
Medicare
= 3,500 * 1.45%
= $50.75
Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67
write 5.3 x 10^-9 in standard notation please!!
Answer:
0.53 x 10^ -8
Step-by-step explanation:
Just move the decimal over to the right and add 1 to the exponent.
. What would be the new coordinates if (-2,-4) is translated 5 units up and
7 units to the left.
Answer:
(-9, 1)
Step-by-step explanation:
translating UP is to increase on the y axis, so -4+5=1
translating to the LEFT is to subtract on the x axis so-2-7=-9
Damario invite friends over for a special dinner. For drinks, he made 32 gallons of lemonade. Each gallon had 16 cups. Each of Damario's 18 friends drank 9 cups of lemonade. How many cups of lemonade does Damario have left?
Find the midpoint of the segment with the given endpoints.
(-4,-9) and (-2,1)
Answer:
it is -2,1 I really hope that helps
-100:2463-3+1
62 + (-3)3-23
Answer:
Try this but I am not 100% sure:
246173
Step-by-step explanation:
Can someone please help me solve these word problems?
Answer:
7. 39
Jim is 39 years younger.
On Wednesday, a local hamburger shop sold a combined total of 360 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
120
Step-by-step explanation:
360 combined, 2/3 is cheese, so 1/3 is hamburger, 1/3 of 360 is 120.
Is the height of these students a function of their wrist circumference
Answer:
c
Step-by-step explanation:
Answer:
C. No because the height of 151 cm is paired with two wrist circumferences.
Step-by-step explanation:
Solve for Y. Y/11.2=7
Answer:
y=78.4
Step-by-step explanation:
78.4/11.2 is 7
What is the  length of A rectangle  with width 15 and an area of 90 in ^2 
△ PQR has vertices P(-2, 7), Q(3, 5), and R(-6, -1).Which of the following best represents a reflection of △ PQR across the x-axis to become △ P’Q’R’?
Answer: The △PQR is reflected across the y-axis and option 2 is correct.
Step-by-step explanation:1. The reflection across the x-axis is defined as
2. The reflection across the y-axis is defined as
3. The reflection across the y=x is defined as
4. The reflection across the y=-x is defined as
It is given that the vertices of △PQR are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of △P′Q′R′ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) .
The relation between prerimage and image is defined as
Therefore the △PQR is reflected across the y-axis and option 2 is correct.
Simplify 5x-2>19-2x
3x-5<5x-3
Given expressions:
5x -2 > 19 - 2x
3x -5 < 5x - 3
Simplifying;
a. 5x -2 > 19 - 2x ;
Collect like terms;
5x + 2x > 19 + 2
7x > 21
Divide both sides by 7 to give;
x > 3
Not if we divided by a negative value, the sign of the inequality changes.
b. 3x -5 < 5x - 3
Collect like terms;
3x - 5x < -3 + 5
-2x < 2
Divide both sides by (-2), note, the sign of the inequality changes;
x > -1
Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
Answer:
4p – 7 = 13
Step-by-step explanation:
Use the maps to select the word or phrase that best completes each sentence. Ancient Egypt differs from modern Egypt mainly in terms of Modern Egypt has more y than ancient Egypt. However, in both ancient Egypt and modern Egypt, most cities were located near the
Answer:
Ancient Egypt differs from modern Egypt mainly in terms of ✔ size .
Modern Egypt has more ✔ territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the ✔ Nile River .
i would really appreciate it if you mark this answer brainlest.
The word or phrase that best completes each sentence are size, territory and Nile River.
What as the ancient Egypt about?The ancient Egypt was a civilization in northeastern Africa that dates from the 4th millennium BCE and its many achievements were preserved in its art and monuments, hold a fascination that continues to grow as archaeological finds expose its secrets.
Ancient Egypt differs from modern Egypt mainly in terms of size.
Modern Egypt has more territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the Nile River.
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Graph the compound inequality on the number line.
x2 and x <8
-10.98
53
12
8 9 10
ILL GIVE BRAINLIEST
Help me fast please !!!!!!!!!!!!!!!!!!!!
Answer:
(2x100,000)(7x10,000)(9x100)(5x10)
Step-by-step explanation:
Answer:
(2 x 100,000) + (7 x 10,000) + (9 x 100) + (5 x 10)
Which are correct representations of the inequality -3(2x - 5) <5(2-x)? Select two options.
Ox<5
0 6x-5< 10-X
0-6x + 15 < 10-5x
+
-3
-2 -1 0
1
2
3
+
4
5 6 7
-7
-6
-5
-4
-3
-2
+
-1 0
+
3
1
2
Answer: -6x + 15 < 10-5x and the numberline with the 5---->
Step-by-step explanation:
Solving -3(2x-5) < 5(2-x)
Distribute the -3 to the 2x giving you -6x and -3 to the -5 giving you 15.
Distribute 5 to 2 giving you 10 and 5 to -x ginving you -5x.
Then just solve -6x+15 < 10-5x
+6x +6x
10+x > 15
-10 -10
x>5
The numberline with the postive 5 is the correct answer.
Answer: c d
Step-by-step explanation: