Answer:
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
The EMS director wants to service goal of 12 minutes or less is being achieved
Step-by-step explanation:
Step(i):-
Given that the size of the random sample = 40
Given that the mean of the sample (x ⁻) = 13.25
Given that the standard deviation of the Population = 3.2 minutes
Level of significance = 0.05
The mean of the Population (μ) = 12
Step(ii):-
Null hypothesis:-H₀: (μ) = 12
Alternative Hypothesis: H₁ : μ < 12
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]
Z = 2.5
The tabulated value Z₀.₀₅ = 1.96
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
Final answer:-
The EMS director wants to service goal of 12 minutes or less is being achieved
Solve the system of equations.
2.5y+ 3x = 27
5x-2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?
Answer:
The asnwer to the system of equation
x=4 y=6
Step-by-step explanation:
Answer: 1) 8x=32 2) (4,6)
Step-by-step explanation:
Hope this helps!
Mark me brainliest!
Pls and ty!
PLEASE HELP I WILL MARK YOU BRAINIEST
Answer:
x greater than or equal to 1/3
Step-by-step explanation:
Answer:
equation is unclear. Send another pic.
What’s the work and answer for this? Someone please tell me
Answer: 14
Step-by-step explanation:
We arrange the number as -3, 1, 7, 8, 18, 19, 42, the old median is 8.
But the median has change to 11 when the number is add, which means that the number is between 7 and 18.
(8 + x)/2 = 11 Where x is the new number
8 + x = 22
x = 14
Gina needs to buy a bathroom mirror that is 3 feet wide and 6 feet long. If the mirror sells for $3.00 per square foot, what will the total cost of the mirror be?
Answer:
$54
Step-by-step explanation:
beacuse 6x3=18 and 18x3=54 so your answer will be $54
sorry if im wrong mark me brainliest if im right
Which fraction is equal to ⅛?
⁴⁄₆ ⁴⁄₃₀ ²⁄₁₆
Answer:
2/16
Step-by-step explanation:
1/8 * 2/2 = 2/16
Answer:
2/16
Step-by-step explanation:
Hope this helped!!!
The radius of the inside circle is 8 inches. The radius of the larger circle is 4 inches more than the radius of the small circle.
What is the area in square inches of the shaded area? Use 3.14 for π and round your answer to the nearest whole number.
Answer:
Area of shaded region=2 ×3.14×R -2×3.14×r(where R is lager radius and r is smaller radius.)
Therefore area of shaded region=2×3.14×12 -2×3.14×8
=2×3.14(12-8)
=6.18 ×4
=24.72 inc^2
Step-by-step explanation:
from SMALLEST to LARGEST: 1/4", 3/4", 12", 1/8", 3/8 5/8”
Answer:
1/8", 1/4", 3/8", 5/8", 3/4", 12"
Step-by-step explanation:
First, make all of the fractions have similar denominators. We'll use eighths.
1/4 = 2/8
3/4 = 6/8
The rest are either whole numbers or already have a denominator of 8.
2/8, 6/8, 12, 1/8, 3/8, 5/8.
Rearrange.
1/8, 2/8, 3/8, 5/8, 6/8, 12.
Now we take the fractions we converted, and change them back to their original form. Then we'll have the answer.
1/8, 1/4, 3/8, 5/8, 3/4, 12.
---
hope it helps
GUYS PLEASE DONT SEND LINKS, RANDOM ANSWER, OR DELETED THEM. I JUST WANT HELP FROM THIS QUESTION FOR GOD SAKE
Answer:
Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.
Step-by-step explanation:
Let the trajectory of the ball be represented by [tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex], where [tex]x[/tex] is the horizontal distance of the ball from origin, in feet, and [tex]f(x)[/tex] is the height of the ball above ground, in feet.
If Deshawn does not block Chris's shot, then we should check if shot will be a goal and this condition must be fulfilled:
[tex]f(25\,ft) < 8\,ft[/tex] (1)
If we know that [tex]x = 25\,ft[/tex], then the height of the ball at the start of the goal is:
[tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex] (2)
[tex]f(x) = 6.95\,ft[/tex]
Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.
Suppose that you and a friend are playing cards and decide to make a bet. If you draw three red cards in succession from a standard deck of 52 cards with replacement, you win $30. Otherwise, you pay your friend $20. If the same bet was made 30 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary.
Answer:
I don't know how to do it the subject
Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))
Answer:
1. 18.85in
4. 25.13m
Step-by-step explanation:
I got you
So to find the circumference of any circle we use the equation 2pi(r)
2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3
For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m
What is the volume of the following rectangular prism?
Answer: 2.76
Step-by-step explanation:
I wrote it down on paper :)
tion
The graph shows a linear function and an exponential function. Compare and contrast the
two functions. Make sure to use vocabulary words.
The comparison of the functions is
The linear function has a slope of 50 and it is proportionalThe exponential function has a growth factor of 5/3 and an initial value of 1How to compare and contrast the two functionsFrom the question, we have the following parameters that can be used in our computation:
The graph of the two functions
For the linear function, we have
y-intercept = 0
Rate = 50/1 = 50
So, the function is
y = 50x
For the exponential function, we have
y-intercept = 1
Rate = 250/150 = 5/3
So, the function is
y = (5/3)ˣ
Comparing the functions, we have
The linear function has a slope of 50 and it is proportionalThe exponential function has a growth factor of 5/3 and an initial value of 1Read more about functions at
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Please answer ASAP. Do not mind the purple thing.
Answer:
1 4
2 8
3 12
6 24
for next year, its 32
Step-by-step explanation:
cauz 8 divided by 2 is 4
Also since it goes up by four, 3 is 12 and 6 is 24
A local movie theater is trying to find the best price at which to sell popcorn. To reach its goal of making at least $50,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business. The firm determined that the best-case scenario for the theater’s revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars. Complete the statements about the system’s possible solutions. The point is of this system. The point is of this system.
The question is incomplete. The complete question is :
A local movie theater is trying to find the best price at which to sell popcorn To reach its goal of making at least 550,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business The firm determined that the best case scenario for the theater's revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars [tex]$r \leq -0.23p^2+2.25p$[/tex] and r ≥ 5 solutions Complete the statement( a viable solution, both a viable and a nomlable solution). The point (4,6) a nonviable solution The point (6,5) mola bouton of this system of this system.
Solution :
Total amount to be targeted by selling of popcorns in the movie theatre is 550,000.
A viable solution is one which has a definite meaning or definite solution to the question in context whereas a non viable solution does not have a definite relevant solution to the question.
In the context,
The point (4,6) is a non viable solution as it does not satisfy 1st inequality and only satisfies the second inequality.
The point (6,5) is a viable solution as it satisfies both the inequalities.
Answer:
The point of (4,6) is not a solution of this system/
The point of (6, 5) is a viable solution of this sytem
Step-by-step explanation:
Plato LIves Matter
PLEASE HELPPP WITH THIS
Answer:
8 or D
Step-by-step explanation:
I say this because AD is 8 so im thinking it should be parallel and so the same would be for the opposite, AE.
(Valley Forge Income Tax Advice) VF is a small accounting firm supporting wealthy individuals in their preparation of annual income tax statements. Every December, VF sends out a short survey to their customers, asking for the information required for preparing the tax statements. Based on 24 years of experience, VF categorizes their cases into the following groups:
Group I (new customers, easy): 15 percent of cases
Group 2 (new customers, complex): 5 percent of cases
Group 3 (repeat customers, easy): 50 percent of cases
Group 4 (repeat customers, complex): 30 percent of cases
Here, "easy" versus "complex" refers to the complexity of the customer's earning situation.
[In order to prepare the income tax statement, VF needs to complete the following set of activities. Activity times (and even which activities need to be carried out) depend on which group a tax statement falls into. All of the following activity times are expressed in minutes per income tax statement.
Group Filling Initial meeting Preparation Review by Writing
senior accounting
1 20 30 120 20 50
2 40 90 300 60 80
3 20 no meeting 80 5 30
4 40 no meeting 200 30 60
The activities are carried out by the following three persons:
Administrative support person: fi ling and writing.
Senior accountant (who is also the owner): initial meeting, review by senior accountant.
Junior accountant: preparation
Assume that all three persons work eight hours per day and 20 days a month. For the following questions, assume the product mix as described above. Assume that there are 50 income tax statements arriving each month.
a. Which of the three persons is the bottleneck?
b. What is the ( implied) utilization of the senior accountant? The junior accountant? The administrative support person?
c. You have been asked to analyze which of the four product groups is the most profitable. Which factors would influence the answer to this?
d. How would the process capacity of VF change if a new word processing system would reduce the time to write the income tax statements by 50 percent?
The solution is, c3 = 24 cases, and, c4 = 96 cases.
What is percentage?A percentage can be stated as a number or ratio that can be expressed as a fraction of 100. A percentage usually represented as a number or ratio expressed as a fraction of 100. It is usually denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number which has no unit of measurement.
here, we have,
given that,
Total time in a week = 40 hours = 2400 minutes
Total time Administrator is utilized = 50 * 20 = 1000 minutes
Total time Senior accountant is utilized= 20% * 50 * 40 = 400 minutes
Total time Junior accountant is utilized = 40%*50*15 = 600 minutes
For Total cases, Total capacity
= Total time / Bottlenck time (Administrator)
= 2400 / 20
= 120 cases
C-3) Capacity of new customers at 20:80 ratio = 20% * 120 = 24 cases
C-4) Capacity of repeat customers at 20:80 ratio = 20%*120 = 96 cases
c-1 = Flow rate
= min ( demand, capacity) for new customers
= 10 new cases / week (20%*50)
c-2 = Flow rate
= 40%*50
= 40 cases / week
c3 = 24 cases
c4 = 96 cases
Hence, The solution is, c3 = 24 cases, and, c4 = 96 cases.
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SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!! (no links please
what is 11683.94 rounded to the nearest tenth.
PLLS HELP I HAVE BEEN ASKING FOR 2 DAYS NOBODY HAS HELPED ME PLSSS OMG IM CRYING I WILL GIVE BRAINLIEST
Answer:
D. -(22/4)
Step-by-step explanation:
22/-4= -5.5
-(22/4)= -5.5
If there have been twenty of the $5 coupons given away then how many bags of popcorn have been given away ?
Answer:
Can you explain your question more?
HELP ME PLEASE
15 points and brainliest if right
Step-by-step explanation:
area of a rectangle bh
4x7=28
7x9=63
9x4=36
the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.
Hope that helps :)
Find the distance between the points ( – 4,10) and (8,10).
Answer:
12 units
Step-by-step explanation:
(-4 , 10) ; [tex]x_{1} = -4[/tex] and [tex]y_{1} = 10[/tex]
(8 ,10) ; [tex]x_{2} = 8[/tex] and [tex]y_{2}= 10[/tex]
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]= \sqrt{(8-[-4])^{2}+(10-10)^{2}}\\\\=\sqrt{(8+4)^{2}+0}\\\\= \sqrt{12^{2}}\\\\= 12 units[/tex]
Find the probability that a randomly selected point within the circle falls in the white area
Answer:
67%
Step-by-step explanation:
out of 6 sections, 4 are white
therefore, 4/6 or 67% have a chance of landing in white areas
!!MATH!! !!100 POINTS!! !!WILL MARK BRAINLIEST!!
Answer:
PQO = 180
OQR = 180
PQR = 220
Step-by-step explanation:
brainliest
Find the surface area of the prism.
Answer: You need to calculate the area of two polygonal bases, i.e., the top face and bottom face.
Step-by-step explanation:
Find an equivalent 100/25
Answer:
100/25 = 4
so an equivalent would be 12/3
Answer and Step-by-step explanation:
100 divided by 25 is equal to 4., or [tex]\frac{4}{1}[/tex].
That is equivalent to [tex]\frac{100}{25}[/tex].
#teamtrees #PAW (Plant And Water)
Mi Gusta
Subtract 8 1/6- 4 5/6 . Simplify the answer and write as a mixed number
Answer: 3 1/3
Step-by-step explanation: You change 8 1/6 to improper fraction which is 49/6 and change 4 5/6 to improper fraction which is 29/6. Next you take 49/6 and subtract 29/6 which is 20/6.After that you simplify 20/6 by divide both sides by 2 which gives you 10/3.Lastly change 10/3 to a mixed number which is 3 1/3.
Hope it helps :) and look at pic below.
can someone explain this for me? i’m a bit confused about it.
Answer:
4050 cubic feet.
Step-by-step explanation:
Let's first find the volume of the green cube. It is the edge length cubed, or 15^3 which equals 3375.
Now, let's find the volume of the brown pyramid on the cube. To find the volume, multiply the base of the pyramid by the height, then divide by 3.
Using the edge length of 15, we can find that the square is 15^2 which equals 225.
Multiply 225 by the height 9,
225*9=2025
Then divide by 3.
2025/3=675.
Knowing the volume of the green cube, 3375, and the volume of the brown pyramid, 675, we can find that the volume of the entire figure is
3375 +675=4050 cubic feet.
Graph the parabola.
y=-3x2 +6
PLEASE ANSWER quickly
Answer:
y = 12
Step-by-step explanation:
y = 3x2+6
= 6+6
= 12
y = 12
195 Ibs to kilograms
Answer:
88.4505 kilograms
Step-by-step explanation:
whoever gets this correct first gets brainlest
Answer:
36°
Step-by-step explanation:
From the question,
The sum of the exterior angle of a polygon = 360
From the diagram. the polygon is Decagon
Note: A Decagon is a polygon with 10 sides.
number of sides = 10 .
The exterior angle of a regular polygon = sum of the exterior angle/number of sides.
Exterior angle = 360/10
Exterior angle = 36°
Hence the measure the single extrior angle = 36°