Answer:
[tex]19.55\pm2.145[/tex]
Step-by-step explanation:
We use the equation [tex]\bar x\pm z^*\sigma/\sqrt n[/tex], where [tex]\bar x=19.55[/tex], [tex]\sigma=6.33[/tex], [tex]n=41[/tex], and [tex]z^*=2.17[/tex]. We obtain [tex]z^*[/tex] from the z-score of a 0.97 confidence level.
The 97% confidence interval estimate for the mean bill for all cars from the drive-thru is approximately $17.23 to $21.87.
To estimate the mean bill for all cars from the drive-thru with 97% confidence, we can use a confidence interval.
Sample size (n) = 41
Sample mean (x(bar)) = $19.55
Population standard deviation (σ) = $6.33
To calculate the confidence interval, we'll use the formula:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
First, we need to calculate the standard error, which is the standard deviation of the sample mean.
Standard Error (SE) = Population Standard Deviation / √(Sample Size)
SE = $6.33 / √(41)
Next, we determine the critical value based on the desired confidence level. Since we want a 97% confidence interval, we need to find the critical value corresponding to a 97% confidence level.
The critical value can be obtained from a standard normal distribution table or by using a calculator. For a 97% confidence level, the critical value is approximately 2.17.
Now, we can calculate the confidence interval:
Confidence Interval = $19.55 ± (2.17 * SE)
Substituting the values:
Confidence Interval = $19.55 ± (2.17 * ($6.33 / √41))
Calculating this, we find:
Confidence Interval ≈ $19.55 ± $2.32
Therefore, the 97% confidence interval estimate for the mean bill for all cars from the drive-thru is approximately $17.23 to $21.87.
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Simplify (3 + 2i) - (5 - 4i)
Step-by-step explanation:
3 + (2 * i)) - (5 - (4 * i)) =
-2 + 6 i
Answer:
−8−2i
Step-by-step explanation:
What is the length of de
Answer:
B. 37 units
Step-by-step explanation:
DE = 4x + 1
AB = 11x - 25
DE is a midsegment of the ∆ABC
Therefore:
DE = ½(AB) => Triangle Midsegment Theorem
4x + 1 = ½(11x - 25)
2(4x + 1) = 11x - 25
8x + 2 = 11x - 25
Collect like terms
8x - 11x = -2 - 25
-3x = -27
-3x/-3 = -27/-3
x = 9
✔️DE = 4x + 1
Plug in the value of x
DE = 4(9) + 1 = 36 + 1
DE = 37
Question
Shannon is designing a snowman for a winter mural. She wants the head of the snowman to have a radius of 5 inches (
5 in.), and the midsection of the snowman to have a radius of 7 in. How much bigger is the area of the snowman's
midsection than the area of its head? In other words, how many more square inches of material will be needed to create
the midsection of the snowman compared to the souare inches needed to create its head?
Answer:
75.36
Step-by-step explanation:
Area of the top of the snowman
A=πr^2
A=3.14(5)^2
A=78.5
A=πr^2
A=3.14(7)^2
A=153.86
The difference of the areas:
153.86-78.5
=75.36
If anyone can help i would appreciate it. Ill give brainiest to anyone who answers with out a link
Answer:
im pretty sure what u have ther is right
40
55
23
26
HELP ASAP PLS
Answer:
26
Step-by-step explanation:
180-63-78 = 39
180 - 39- 59 =82
180-82-72=26
Which of these is a safe practice when working with horses?
A . use a firm, loud voice
B . stay in the horse’s blind spot use quick-release knots for easy escape
C . if unattended, leave the horse tied up
Answer:
i think the awnser is c . if unattended, leave the horse tire up
4 ft
5 ft
7.5 ft
The surface area is
6
square feet.
Answer:
30
Step-by-step explanation:
length x width = surface area
7.5 x 4 = 30
Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS?
The missing piece of information is ∠C ≅ ∠C′
How to determine the missing piece?From the figure, we have:
AB ≅ A'B'
<B ≅ <B'
The above means that:
Sides AB and A'B' are congruentAngles B and B' are congruentThe congruence theorem is given as:
AAS --- Angle Angle Theorem
i.e.
Two corresponding angles and one corresponding side are congruent
Since a congruent side and a congruent angle have been given;
We need a congruent angle to complete the piece
In this case, we have:
∠C ≅ ∠C′
Hence, the missing piece of information is ∠C ≅ ∠C′
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How does the social distancing impact society please help me i really need help please help
Answer:
prevents people from effectively socializing
Step-by-step explanation:
social distancing presents the dangers of increasing social rejection, growing impersonality and individualism, and the loss of a sense of community.
Write a new function that represents a transformation to the parent function if the new function shifts right 5 units and up 3 units.
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100. The law firm assigned a total of 10 lawyers to the case and was able to charge the client $8000 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.
There were ____associates assigned to the case and ____
partners assigned to the case.
Answer: x = 7
Thus 7 associates and 10 partners were assigned
Step-by-step explanation:
7 associates and 10 partners were assigned
Let "x" be the number of associates assigned to
case
Let "y" be the number of partners assigned to the case
The law firm assigned a total of 17 lawyers to the case
Therefore,
x + y = 17
x = 17 - y --------- eqn 1
daily rate charged to the client for each associate is $800
daily rate for each partner is $1800
They was able to charge the client $23600 per day for these lawyers' services
Therefore,
800x + 1800y = 23600 ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
800(17 - y) + 1800y = 23600
13600 - 800y + 1800y = 23600
1000y = 23600 - 13600
1000y = 10000
Divide both sides by 1000
y = 10
Substitute y = 10 in eqn 1
x = 17 - 10
x = 7
Thus 7 associates and 10 partners were assigned
pLS WILL GIVE BRAINLIEST for correct answer pls
Answer:
1/6
Step-by-step explanation:
26,720 inches are equal to _______ miles.
Answer: 0.42171717 miles
Step-by-step explanation:
for inches to mile conversion divide by 63350
so got 0.421717
Ahmed is creating clay at home for an art project. The recipe calls for 2 cups of water and 4 cups of flour. Ahmed would like to make more clay than the recipe calls for and so he puts 20 cups of flour in the bowl instead. How many cups of water should he use?
Answer:
10 cups of water should be used
Step-by-step explanation:
Answer:
2 : 4 : : x : 20
2×20/4
2 × 5 = 10
therefore he should use 10 cups of water
Hope it helps!
chicken wing chicken wing
Answer:
hot dog and baloney :>
Step-by-step explanation:
yeet
Answer:
Hot dog and baloney
Chicken and macaroni
Chilling with my homies
I heard it so many times :)
A cone has a diameter of 20cm and a height of 12cm, what is the volume of the cone?
Answer:
The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3
Make sure to round your answer to the nearest significant figure that you're asked.
Step-by-step explanation:
The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3
combine like terms
z{2} + z + 4z{3} + 4z{2}
HELP ME ITS DUE TODAY AND I NEED HELP PLS IM BEGGING
(Will give 50 points!) The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games. What is the difference between the medians?
A) 2 points
B) 12 points
C) 16 points
D) 4 points
Answer:
C) 16 points
Step-by-step explanation:
hello I need help on the 4 questions please help thank you:D
Step-by-step explanation:
1. simple interest
I= p × r × t
I = 1050 × 4.5 × 2
I = $9450
2. principal
p = I/(rt)
p= 22.50/ (3× 3)
p = 22.50/9
p = $2.5
3. simple interest
I= p × r × t
I = 500 × 5 × 3
I = $7500
4. time
first convert r to decimal
r= r/100, r= 3.5 / 100
r= 0.035
t = i/(pr)
t = 43.75/ (2500× 0.035)
t = 43.75/ 87.5
t = 0.5 year or 6 months
Determine the quadrant (s) in which each statement is true. csc(theta)greater than 0
Answer: The answer is 1st quadrant.
Step-by-step explanation:
WILL MARK BRAINLIEST! TY!
[Ignore the one that I selected its probably wrong]
Answer:
Ok so the answer is the first option
In a lab experiment, 310 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 30 hours. How long would it be, to
the nearest tenth of an hour, until there are 440 bacteria present?
The answer:
15.157059248=15.2(When rounded to the nearest tenth)
Given the sequence [tex]c_n[/tex] defined recursively below, find [tex]c_5[/tex].
[tex]c_1 =4[/tex]
[tex]c_2 = 2[/tex]
[tex]c_n = 3c_{n-1}+2c_{n-2}-2[/tex]
Hello!
[tex]\large\boxed{c_{5} = 136}[/tex]
We can begin by solving for c₃ given the equations:
c₃ = 3c₂ + 2c₁ - 2
c₃ = 3(2) + 2(4) - 2
Simplify:
c₃ = 6 + 8 - 2 = 12
We can now find the subsequent terms:
c₄ = 3(12) + 2(2) - 2 = 38
c₅ = 3(38) + 2(12) - 2 = 136
Now we have to,
find the required value of c₅.
Given that,
→ c₁ = 4
→ c₂ = 2
→ [tex] \sf {c_n = 3c_{n-1}+2c_{n-2}-2}[/tex]
Let's solve c₃ first,
→ 3c₂ + 2c₁ - 2
→ 3(2) + 2(4) - 2
→ 6 + 8 - 2 = 12
Then the value of c₃ is
→ [c₃ = 12]
Then find the value of c₄,
→ c₄ = 3(12) + 2(2) - 2
→ c₄ = {36 + 4} - 2
→ c₄ = 40 - 2
→ [c₄ = 38]
Next we can solve for c₅,
→ c₅ = 3(38) + 2(12) - 2
→ c₅ = {114 + 24} - 2
→ c₅ = 138 - 2
→ [c₅ = 136]
Hence, the value of c₅ is 136.
The total cost (in dollars) of producing x college textbooks is .
(a) What are the fixed costs?
(b) What is the marginal cost per book?
(c) What is the total cost of producing books? books?
(d) What is the average cost when books are produced? when books are produced?
what is 5 cm in mm. NEED HELP ASAP !!!!!!!
A recent article published in Berry Weekly reported a probability distribution for the different types of jelly that
individuals prefer. Editors from a competitive magazine, Jammin, conducted their own study to test the
distribution. The editors from Jammin surveyed a random sample of 50 individuals and recorded the observed
counts of individuals for each jelly type. They decided to test Berry Weeklys claim using a chi-square goodness-
of-fit test using Jammin's observed counts compared with the number of expected counts based on the Berry
Weekly data.
Answer:
Step-by-step explanation:
Select following series as artithmetic, geometric or neither. 1+2 +3+4+...+10
Over the last three evenings, Elsa received a total of 110 phone calls at the call center. The first evening, she received 10 fewer calls than the third
evening. The second evening, she received 4 times as many calls as the third evening. How many phone calls did she receive each evening?
Answer:
first evening, 10 calls, second evening 80 calls, third evening, 20 calls.
Step-by-step explanation:
if the number of calls received during the first evening is X, then the number of calls received during the third evening is X+10 as the third evening received 10 more calls than first evening. The second evening received 4 times of third so 4X+10. Add them up together and put them equal to 110.
X+10+X+4X+40=110
6X+50=110
6X=110-50
6X=60
X=10
First evening, 10 calls,
second evening 80 calls; 4X+40, 4(10)+40=80
third evening 20 calls; X+10, (10)+10=20
You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.
Find the total amount that the employer contributes each month.
What amount will you have after 35 years?
How much money have you deposited into the account yourself?
How much more money is in the account than what you have deposited?
Answer:
Amount per month contributed by employer $ = 200*0.70 = 140
Total amount employer contributes $ = 140*420 = 58800
Total amount employee contributes $ = 200*420 = 84000
Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67
Interest amount for 35 years accumulated $ = 228224.67
Amount deposited by employee $ = 84000
Excess amount in the account over the employee contribution
Including employer contribution $ = 287024.67
Excluding employer contribution $ = 228224.67
Step-by-step explanation:
LOOK AT THE PICTURE FOR STEPS