jana is a graphic designer. She created a poster for her friend’s movie on an 8.5 inches by 11 inches sheet of paper. Her friend’s movie has gotten a lot of publicity, and they want to put Jana’s poster on a billboard that is 12 feet wide and 16 feet high. How can they blow up the poster as much as possible while maintaining the ratio of the sides? a) Determine the length and width of the largest possible poster. b) What is the scale?
Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households in the region spend in restaurants annually. The employees are looking at how the amount spent annually in restaurants by households led by people ages 25 to 34 compares to households led by people ages 45 to 54. To conduct the research, the employees randomly select 12 households in the region led by people ages 25 to 34 and 12 households in the region led by people ages 45 to 54. Each household is asked how much was spent in restaurants during the previous 12 months. The amounts spent for each household, in dollars, are provided in the samples below. One household in each group spent $1,851 in restaurants during the previous 12 months. Calculate the z-score for the household that spent $1,851 for each group. Use a TI-83, TI-83 plus, and TI-84 calculator.
Round your answers to two decimal places.
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Answer:
The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
Step-by-step explanation:
The data provided is as follows:
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Compute the mean and standard deviation for the group "25 to 34" as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01[/tex]
Compute the z-score for the group "25 to 34" as follows:
[tex]z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37[/tex]
Compute the mean and standard deviation for the group "45 to 54" as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39[/tex]
Compute the z-score for the group "45 to 54" as follows:
[tex]z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25[/tex]
Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
if the slope of ac 6 what is the slope of bc
What is the value of (2,820 ÷ 8) ÷ 5?
What is (6+4) (-12) using the Distributive Property?
Answer:
multiply -12 first by 6 and then by 4
Evaluate the expression 5x4+2x6
Answer:
The answer to this is: 132
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Hope this helps!!
1. Jen went scuba diving. She makes the first stop on her descent at 45 meters below the
surface of the water. From that point she dives down further, stopping every 10 meters. If
she makes 3 additional stops, at what depth will she be?
Which graph does not represent a function?
Answer:
C
Step-by-step explanation:
c is my answer to your question
A line passes through -1,-1and .-3,5
What is the equation of the line in slope-intercept form?
Answer:
y=-3x - 4
Step-by-step explanation:
y2 -y1 = 5- -1 =-4
x2 -x1=-3 - -1=-2
slope is -3
what came in the mail today
Answer:
me
Step-by-step explanation:
A bunch of bills for spectrum tv
Which equation has the correct sign on the product?
O A. (-11)9 = 99
B. (-12)(-12) = 144
C. 25(-5) = 125
D. 17.3 = -51
Answer:
B. (-12)(-12)=144 Hope that helps
Step-by-step explanation:
PLEASE EXPLAIN HOW TO GET SOLUTION
Answer:
(3p^5)/2
Step-by-step explanation:
= (24p^10)/(16p^5)
= (3p^5)/2
Evaluate:
-77 + (-46)
Answer:
-77 + (-46)
=> -77 - 46 (When you add two negative integers, it is the same thing as subtracting a positive integer with a negative integer)
=> -123 (Because a negative + a negative = a negative)
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
= -77 + ( - 46 )
= - 77 - 46 ( a positive integer and a negative integer makes a negative integer )
= -123 ( two negative signs resulted in the usage of addition )
Therefore , -77+ (-46) = -123
Help with question 36 please I need it ASAP
Answer:
13 hours, 33 minutes, 20 seconds
Step-by-step explanation:
The swimming pool will hold 1.22 million cubic inches of water, and if it fills up at 1500 cubic inches per minute, it will take 813 minutes and 20 seconds to fill the pool, which means that in simplest form, that will be 13 hours, 33 minutes, and 20 seconds.
Hopefully the answer and explanation helps!
What is the value of x in the figure below? asap :(
Answer:
22.5
Step-by-step explanation:
Step 1:
8x - 50° = 6x - 5° Vertical ∠'s
Step 2:
8x = 6x + 45° Add 50° on both sides
Step 3:
2x = 45° Subtrat 6x on both sides
Step 4:
x = 45° ÷ 2 Divide
Answer:
x = 22.5
Hope This Helps :)
you have three 1 dollar bills and 2 10 dollar bills in your wallet. you select a bill at random
Answer:
you are more likely to get a 10 dollar bill
Step-by-step explanation:
What is 22.16345 rounded to the nearest ten thousandths place?
Answer:
22.164
Step-by-step explanation:
Answer:
22.1635
Step-by-step explanation:
Find the ten thousandth place and the look at the next number over. If it is 4 and below then keep the ten thousandth number the same and take off the hundred thousandth place. If it it is 5 or above then round the number up 1 place.
Is 1-12 true or false
Answer:Is the 1+2+3+4+… = -1/12 proof done by Numberphile correct?
What is the sum of all natural numbers?
What are practical applications of the fact that 1+2+3+4+5+…=−112 ?
What's the intuition behind the equation 1+2+3+⋯=−112 ?
Step-by-step explanation: I THINK IT IS RIGHT HOPE IT HELPS
the figure below consists of a rectangle and an equilateral triangle. What is the perimeter of the figure?
Answer: 28 in.
Step-by-step explanation:
The perimeter is the total distance around the entire figure. Because all the lengths of the sides are already given, you just have to add them all up.
P = 4 in. + 8 in. + 8 in. + 4 in. + 4 in. = 28 in.
Answer:
B
Step-by-step explanation:
edge 2021
Scott is running for office. Of the 18,000 votes cast in the election for this office, 55% were for Scott. How many votes were cast for the other candidates? O A. 810 O B. 990 O C. 8,100 D. 9,900
Answer:
C
multiply 55% and 18,000
then subtract what u got with 18000
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Which equation represents a line that is parallel to y= -4x+3
Parallel lines have the same slope, so as long as the line has the same slope (y = -4x +b where b is any constant number other than 3) it is parallel.
Use the system of equations and graphs below to complete the sentence.
Answer:
id say graph d solve it out and thats the only thing i got close to
Step-by-step explanation:
Answer:
it's the one in the top right(graph B), the soultion to graph b is (3,-1)
Step-by-step explanation:
Like the other answer says you solve it out, then you look at the intercepts and use the prosses of elimanation.
the top equation is: y= -1/2x -2.5
the bottom equation is: y= -1/5x -0.4
I and m are parallel to each other
WHO KNOWS HOW TO DO solving literal equations please help I'll put you on brain list
1. [tex]nx + y = 3f[/tex]
2. [tex] \frac{x}{2} - h = 3n[/tex]
3. [tex]px + qx = w[/tex]
4. [tex]5h \: \frac{x - 3}{w} [/tex]
5. [tex]c = \frac{ax}{x + b} [/tex]
6. [tex] \frac{2}{x} + \frac{n}{y} = 3[/tex]
Answer:
are u an bts army ?????????? can u pls comment me
Bit transmission errors between computers sometimes occur, where one computer sends a 0 but the other computer receives a 1 (or vice versa). Because of this, the computer sending a message repeats each bit three times, so a 0 is sent as 000 and a 1 as 111. The receiving computer "decodes" each triplet by majority rule: whichever number, 0 or 1, appears more often in a triplet is declared to be the intended bit. For example, both 000 and 100 are decoded as 0, while 101 and 011 are decoded as 1. Suppose that 6% of bits are switched (0 to 1, or 1 to 0) during transmission between two particular computers, and that these errors occur independently during transmission.(a) Find the probability that a triplet is decoded incorrectly by the receiving computer.(b) Using your answer to part (a), explain how using triplets reduces communication errors.(c) How does your answer to part (a) change if each bit is repeated five times (instead of three)?(d) Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?
Answer:
(a) Probability that a triplet is decoded incorrectly by the receiving computer. = 0.010
(b)
(1 – p) = 0.010
(c)
E(x) = 25000 x 0.010
= 259.2
Explanation has given below.
Step-by-step explanation:
Solution:
(a) Probability that a triplet is decoded.
2 out of three
P = 0.94, n = 3
m= no of correct bits
m bit (3, 0.94)
At p(m≤1) = B (1; 3, 0.94)
= 0.010
(b) Using your answer to part (a),
(1 – p) = 0.010
Error for 1 bit transmission error.
(c) How does your answer to part (a) change if each bit is repeated five times (instead of three?
P( m ≤ 2 )
L = Bit (5, 0.94)
= B (2; 5, 0.94)
= 0.002
(d) Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?
Given:
h = 25000
Bits are switched during transmission between two computers = 6% = 0.06
m = Bit (25000, 0.06)
E(m) = np
= 25000 x 0.06
= 1500
m = Bit (25000, 0.01)
E(m) = 25000 x 0.010
= 259.2
The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test‑takers is 550 with a standard deviation of 120. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation σ=120. The null and alternative hypotheses are H0:µ=550 versus Ha:µ<550.
Required:
State the null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines.
Answer:
H₀: μ = 550 vs. Hₐ: μ < 550.
Step-by-step explanation:
A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.
The mean sore for all test‑takers is μ = 550 with a standard deviation of σ = 120.
A random sample of n = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.
The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:
H₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. μ = 550.
Hₐ: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. μ < 550.
125ml= how many cenimeters?
Answer:
150
Step-by-step explanation:
multiply the volume by 1
Answer:
12,500 cm
Step-by-step explanation:
ml × 100 = cm125 × 100 = 12,500I hope this helps!
A parking garage charges $8 for the first two hours and $1.75 for each additional hour. The function for the cost of parking in the garage for 2 hours or more is f(x) = 8 + 1.75(x – 2) , where x is the number of total hours parked in the garage. Find and interpret f(7) .
Answer:
I believe it would be 16.75 but ik not completely sure
The meaning of f(7) is that a vehicle is parked for 7 hours, and the cost of parking for 7 hours will be $16.75.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function for the cost of parking in the garage for 2 hours or more is f(x)=8+1.75(x–2), where x is the number of total hours parked in the garage.
Now, the meaning of f(7) is that a vehicle is parked for 7 hours in the parking garage. And its value can be found by substituting the value of x as 7 in the given function,
f(x) = 8 + 1.75(x – 2)
f(7) = 8 + 1.75(7 – 2)
= 8 + 1.75(5)
= 8 + 8.75
= 16.75
Hence, the meaning of f(7) is that a vehicle is parked for 7 hours, and the cost of parking for 7 hours will be $16.75.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
HELP ASAP This is very hard
Answer:
- 11/5
decimal : -2.2
mixed number -2. 1/5
help me on it pls thanks