Answer:
(6.35, 5.34)
(6.35, 0.99)
0.10253
0.3984
Step-by-step explanation:
Given that :
μ = 6.35
σ = 2.31
n = 41
What is the distribution of X?X ~ N(,)
X :
Mean of distribution = μ= 6.35
The variance = σ^2 = 2.31^2 = 5.3361 = 5.34
X ~ N = (6.35, 5.34)
What is the distribution of x¯? x¯ ~ N(,)
The mean = μ = 6.35
The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99
X ~N = (6.35, 0.99)
find the probability that this patron's lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757)
Obtain the standardized scores:
Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082
P(Z < - 0.082) = 0.46732 (Z probability calculator)
(6.757 - 6.35) / 2.31 = 0.176
P(Z < 0.176) = 0.56985 (Z probability calculator)
P(Z < 0.176) -P(Z < - 0.082)
0.56985 - 0.46732 = 0.10253
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757) ; n = 17
Obtain the standardized scores:
Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338
P(Z < - 0.338) = 0.36768 (Z probability calculator)
(6.757 - 6.35) / 2.31/sqrt(17) = 0.726
P(Z < 0.726) = 0.76608 (Z probability calculator)
P(Z < 0.726) -P(Z < - 0.338)
0.76608 - 0.36768 = 0.3984
Answer:
he did a good job
Step-by-step explanation:
Lauren saves 30% of her paycheck to purchase the IPhone 12. She earns $325 per paycheck. How much will Lauren have for her IPhone if she has saved from two paychecks?
Answer:
$195
Step-by-step explanation:
30% of one paycheck = (30/100) x $325 = $97.5
30% of two paychecks = $97.5 x 2 = $195
Find the original price of a pair of shoes if the sale price is $63 after a 30% discount.
Answer:
$90
Step-by-step explanation:
To find the original price, divide 63 by 0.7:
63/0.7
= 90
So, the original price is $90
Answer:
$90.00
Step-by-step explanation:
First of all let x be the price of the pair of shoes that you are trying to find.
next since we have 30percent off that price we have
x - 0.30x = 0.70x
which in turn is equal to 63 dollars
so our expression is
0.70x = $63
x = 63 / 0.70
= $ 90.00
Peter and Steven take 5 1/3 hours to do a job. Steven alone takes 16 hours to do the same job how long would it take peter to do the same job alone?
Answer: It would take 8 hours!!
Step-by-step explanation: Hope this helps!! <3
Answer:
Peter will complete the job in 8 hours
Step-by-step explanation:
Notice that 5 1/3 hours is 16%2F3 hours.
So, their combined rate of work is 1%2F%28%2816%2F3%29%29 = 3%2F16 of the job per hour.
Steven's rate of work is 1%2F16 of the job per hour.
Hence, Peter's rate of work is the difference 3%2F16 - 1%2F16 = 2%2F16 = 1%2F8 of the job per hour.
It implies that Peter will complete the job in 8 hours, working alone.
Xavier Dupree deposited $1,400 in a new regular savings account that earns 6.5 percent
interest compounded monthly. He made no other deposits or withdrawals. What is the
amount
in the account after 9 months?
O $1,493.76
O $1,422.87
O 1,446.12
O $1,469.75
Bob needs to read 3 novels each month. Let N be the number of novels Bob needs to read in M months, Write an equation relating N to M. Then use this equation to find the number of novels Bob needs to read in 17 months.
Answer:
Equation: n=3m; Bob needs to read 51 novels over 17 months.
Step-by-step explanation:
Since the number of novels Bob needs to read (n) depends on the amount of months (m) we can say that n is the dependent variable and m is the independent. Since x is always independent and y is always independent we can say that m is going to stand for x and n is going to stand for y. Each month Bob reads 3 novels so we can write the equations as n=3m. To find out how many books he needs to read in 17 months plug it into the equation. n=3(17) -------------------> n=51
need some help with this question asap
Answer:
The answer is A. -1
Step-by-step explanation:
The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?
Answer:
How many students can fit in a bus? 34
Answer:
You can fit 34 students on a bus
Step-by-step explanation:
Hope this helps...
Please help me please I am failing
Answer
1/3
Step-by-step explanation:
This is because the number of spaces in between all the dots is 3 and so each of those spaces is 1/3, therefore a-b is one line which is 1/3. :3
$2,500 is invested in an account earning 8.4% interest compounded annually. How many years did it take to reach $4,000?
Answer:
3 years
Step-by-step explanation:
Alyssa is learning to drive her parents' car.
She increases her speed for 20 seconds.
She slows down for 10 seconds.
She stays approximately the same speed for the next 20 seconds.
She then slows down to a stop for the last 5 seconds.
Select the graph that best represents Alyssa's speed over time.
Answer:
D
Step-by-step explanation:
I just did this test and D was the right answer.
The graph that best represents Alyssa's speed over time can be determined by using the given data. The correct option is C).
Given :
Alyssa is learning to drive her parents' car.
The following steps can be in order to determine the graph that best represents Alyssa's speed over time:
Step 1 - The graph must be plotted between speed vs time.
Step 2 - According to the given data, Alyssa increases her speed for 20 seconds, which means the graph is increasing gradually up to the next 20 seconds.
Step 3 - Now, she slows down for 10 seconds that is, the graph decreases up to the next 10 seconds.
Step 4 - Now, she stays at approximately the same speed for the next 20 seconds that means the graph is constant for up to the next 20 seconds.
Step 5 - Now, she then slows down to a stop for the last 5 seconds that means the graph again decreases for the next 5 seconds.
From the above steps, it can be concluded that option C) is correct.
For more information, refer to the link given below:
https://brainly.com/question/14375099
Simplify this expression
help fast please
Answer:
C i think
Step-by-step explanation:
How many solutions does the equation
10x – 9x + 1 = 1 + 5 - 4 have?
Answer:
One Solution: x = 1
Step-by-step explanation:
Step 1:
10x - 9x + 1 = 1 + 5 - 4 Equation
Step 2:
x + 1 = 2 Combine Like Terms
Step 3:
x = 2 - 1 Subtract 1 on both sides
Answer:
x = 1
Hope This Helps :)
HELP PLEASE I REALLY NEED IT
Answer:
1.5
Step-by-step explanation:
The price to go to a show is usually $16.50, but if you go on Tuesday, you will only pay $9.90.
What percent of the original price is the discounted ticket price?
What is 1.2 + 6.07 =?
Answer:
7.9
Step-by-step explanation:
Urgent plss! Thanks For the answers
==================================================
Work Shown:
[tex]\displaystyle \lim_{x \to 3} \frac{f^2(x)-4}{f^2(x)-f(x)-2}\\\\\\\displaystyle \lim_{x \to 3} \frac{(f(x)-2)(f(x)+2)}{(f(x)-2)(f(x)+1)}\\\\\\\displaystyle \lim_{x \to 3} \frac{f(x)+2}{f(x)+1}\\\\\\\displaystyle \frac{f(3)+2}{f(3)+1}\\\\\\\displaystyle \frac{2+2}{2+1}\\\\\\\displaystyle \frac{4}{3}\\\\\\[/tex]
Notes:
In step 2, I used the difference of squares rule to factor the numerator. The denominator can be factored through trial and error. The key here is the f(x)-2 terms that show up in each. Those factors cancel in step 3.
Afterward, we apply the substitution rule, [tex]\displaystyle \lim_{x \to a} f(x) = f(a)[/tex], so basically I plugged in x = 3. Then evaluated f(3) = 2 due to the point (3,2).
(4,8), m=5 need a step by step answer please
Answer:
8=4x+5
Step-by-step explanation:
Slope-intercept form: y=mx+b
1. Identify your terms:
x: 4
y:8
b/slope: 5
2. Solution:
8=4x+5
suppose the lowest elevation to which the submarine shown has been tested is -490 meters. if it is currently at an elevation of -125 meters, how many meters more can it dive without going below the lowest elevation tested? pls answer quickly
Answer:
365 more meters
Step-by-step explanation:
490-125=365
What is the product of the expression (2x + - 4)(x - 6)?
Answer:
(2x+-4=6-
We move all terms to the left:
(2x+-4-(6-)=0
We add all the numbers together, and all the variables
(2x+-4-0=0
We use the square of the difference formula
(2x-4-0=0
Step-by-step explanation:
8 मी० लम्बी, 6. मी० ऊची तथा 22.5 सेमी० मोटी दीवार
बनाने हेतु कितनी ईंटें चाहिए, जबकि एक ईंट का माप
25 सेमी. x 11.25 सेमी० x 6 सेमी०
सेमी०
(A) 640
(B) 1380
(C) 6400
(D) 7600
with process
Answer:
I think it might be D too
Step-by-step explanation:
Hope this helped have an amazing day!
Dimitri's table top is a whole number of
square feet. Could the length and width
be decimal numbers each with one
decimal place? Explain your answer.
Answer:
No, it cannot.
Step-by-step explanation:
When you multiply a factor 1 or greater, the product gets larger. However, when you are multiplying decimals, the product gets smaller. (Ex. When you multiply 0.1 [or 0.10], you are making the product ten times as small.)
How do you skip videos on edunuity?
Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.
Step-by-step explanation:
You may have to press next activity again and it might not work the first time but I promise it works.
Answer:
you skip when it comes to the very end
Step-by-step explanation:
Please Give BrainleastTriviaaaa for you smart people, is Sixteen times some number equals 60, an equation or expression?
Answer:
an equation
Step-by-step explanation:
this is because there is an unknown value (some number)
a coffee supplier finds that it cost $850 to roast and package 100 pounds of coffee in a day and $2850 to produce 500 pounds of coffee in a day. assume that the cost function is linear. express the cost as a function of the number of pounds of coffee they produce each day
Answer:
f(x) = 5x + 350
Step-by-step explanation:
Create 2 points using the information given, where x is the number of pounds of coffee and y is the cost.
The 2 points are (100, 850) and (500, 2850)
Then, use rise over run to find the slope:
(y2 - y1) / (x2 - x1)
(2850 - 850) / (500 - 100)
2000 / 400
= 5
Then, plug in the slope and a point into y = mx + b to find b:
y = mx + b
850 = 5(100) + b
850 = 500 + b
350 = b
Plug in the slope and y intercept into y = mx + b to get the equation:
y = 5x + 350
Put it into function form:
f(x) = 5x + 350 is the cost function
Hello, attached is my problem. Please help!
Answer:
15
Step-by-step explanation:
The function, y=1000(1.005)^x, models the value of $1000 deposited at an interest rate of 6% per year, 0.005 per month, x months after the money is deposited.
a. Graph the function on your graphing calculator to predict how many months it will be until the account is worth $1,100.
b. Predict how many years it will be until the account is worth $5,000.
Answer: did this on edge
a. 19 months
b. 27 years
Step-by-step explanation: hope this helps:)
1
Plug the function y=1000(1.005)^x into your graphing calculator.
2
Put a split screen table. Use the table to find where x months will equal $1100
3
~19 months=1100
4
Use the table to find where x months is equal to $5000.
5
~27 years=5000
RESULT
a. 19 months
b. 27 years
in the figure above AB= 4×+6 and BC=7×+15. if AC=120 , find the length of segment AB.?
Answer:2x+6
Step-by-step explanation:
Exercice1
1. Montrer que 5 et-3 sont des diviseurs de -15.
2. Montrer que pour tout entier naturel n, l'entier naturel n + 1 est un diviseur de l'entier n? - 1.
Exercice2
Pour tout entier relatif p, N = 2p? +4p-16 est-il un entier pair?
Exercice3
Sur le site touristique de Carnac, trois parcours en train sont proposés : circuit
court de 12 min en train vert, circuit standard de 21 min en train bleu, circuit long de
42 minutes en train rouge. Le départ se fait simultanément à 14 h. Une famille nom-
breuse ne réussit pas à trouver de la place ensemble et décide d'attendre la prochaine
occasion de prendre un train au choix.
Aquelle heure faut-il revenir au plus tôt pour avoir à nouveau le choix des trois trains ?
Svp aidez moi !
Step-by-step explanation:
step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out
what is the answer to 3 5/12 + 1 3/8? another question since i don’t have many points lol. what is 2 9/10 - 1 7/18? these are mixed numbers btw. please answer and thank you!
Answer:
For the first one:
416/96
For the second one:
270/180
Step-by-step explanation:
Which binomial could be rewritten as a difference of two squares?
A 2r2 – 4y2
B 9x2 + 16y2
C 3r2 – 10y2
D 4x2 - 25y2