The budget for salaries for three employees at the Sunshine Food Truck is $1500. If the assistant manager makes twice as much as the cook and the server makes $100 less than the cook, how much do each of the employees make for the month?
Answer:
Assistant manager sal= $800
cook sal = $400
server sal = 300
Step-by-step explanation:
lets say 3 people salaries are x, y and z respectively
let x be the cook salary
cook salary = x
assistant manager sal = y = 2x
server sal = z = x - 100
putting in the equation total salary three together make = 1500
x+y+z = 1500
x+2x+(x-100) = 1500
4x -100 = 1500
4x = 1600
x = 400
y = 2x = 2x400 = 800
z = x - 100 = 400 - 100 = 300
Find each sum or difference. (x2-3x + 1) - (x3 + 7 – 12x) Oa. 2x3 - 15x + 8 Ob.-12x + 8 c. 9x - 6 d.-9x – 6
(2-3x+1)-(3x+7-12x)
(2+1-3x)-(3x-12x+7)
(3-3x)-(-9x+7)
3-3x--9x+7
3-3x+9x+7
3+7+9x-3x
10+6x or 6x+10
---
hope it helps
A 15 foot electrical wire cost 16.20 what is the cost per inch
9514 1404 393
Answer:
0.09 per inch
Step-by-step explanation:
There are 12 inches in a foot, so 15 feet is 15×12 = 180 inches.
The cost per inch is found by dividing the cost by the number of inches.
cost per inch = 16.20/180 = 0.09
The cost per inch of electrical wire is 0.09.
I WILL GIVE BRAINLIEST IF YOU EXPLAIN YOUR ANSWER!!
Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 11 ft, what is the surface area of the cover?
Answer:
380.13
Step-by-step explanation:
pi r^2
pi*11^2
pi*121
3.1415926*121
Answer:
379.94 sq. ft.
Step-by-step explanation:
HOPE THIS HELPS
In a fifth-grade class at a school, there are two teachers and 25 students. Part A: Suppose that in the rest of the school, there is an identical teacher- to-student ratio. What are two possible numbers of teachers and students at the entire school? Part B: Suppose that five new students join the fifth- grade class. How will that change the teacher to student ratio? Explain why your answer is correct.
g According to the 2010 census, 30% of American adults were worried about global warming. A Gallup poll (assumed to be a random sample) was conducted between March 6 and March 9, 2014 on a random sample of 1048 adults. (a) Describe the sampling distribution of the sample proportion of American adults worried about global warming for a random sample of 1048 American adults. (b) (3 points) Compute the probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%. (c) (2 points) Based on your answers above, do you think it would be unusual to get 40% of 1048 randomly selected American adults being worried about global warming
Answer:
a) By the Central Limit, the sampling distribution of the sample proportion of American adults worried about global warming is approximately normal with mean 0.3 and standard deviation 0.0142.
b) 0.0002 = 0.02% probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.
c) Yes, as 35% already has a z-score above 2, which means that any value above 35%, including 40%, would be unusual.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
If the z-score is lower than -2 or greater than 2, the measure X is considered unusual.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
30% of American adults were worried about global warming.
This means that [tex]p = 0.3[/tex]
(a) Describe the sampling distribution of the sample proportion of American adults worried about global warming for a random sample of 1048 American adults.
Sample of 1048 means that [tex]n = 1048[/tex]
The mean is [tex]\mu = p = 0.3[/tex]
The standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.3*0.7}{1048}} = 0.0142[/tex]
By the Central Limit, the sampling distribution of the sample proportion of American adults worried about global warming is approximately normal with mean 0.3 and standard deviation 0.0142.
(b) (3 points) Compute the probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.
This is 1 subtracted by the pvalue of Z when X = 0.35. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.35 - 0.3}{0.0142}[/tex]
[tex]Z = 3.53[/tex]
[tex]Z = 3.53[/tex] has a pvalue of 0.9998
1 - 0.9998 = 0.0002
0.0002 = 0.02% probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.
(c) (2 points) Based on your answers above, do you think it would be unusual to get 40% of 1048 randomly selected American adults being worried about global warming
Yes, as 35% already has a z-score above 2, which means that any value above 35%, including 40%, would be unusual.
which has the greatest value,7 x 10^-9 or 6 x 10^-4
pls help
Answer: I think 6 x 10^-4 has the greatest value.
Step-by-step explanation:
Identify the type of angle this is
Answer:
parell line
Step-by-step explanation:
Answer:
hello please follow me
Step-by-step explanation:
Answer is Linear Pair
Which of these expressions is equivalent to log
(12/5)
?
O A. log (12) - log (5)
O B. 12. log (5)
O C. log (12) + log (5)
O D. log (12) log (5)
The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
a^b = c
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
b = \log_a(c)
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
We have given an expression as ;
log (12/5)
We know that
[tex]log_a(b) - \log_a(c) = \log_a(\frac{b}{c})[/tex]
So,
log (12/5) = log (12) - log (5)
Thus, the correct option is A. log (12) - log (5)
The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).
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you have decided to sell candy bars to make enough money to go to summer camp. you sell the candy bars for 2.00 each. you also decided to set up a table to sell the candy bars outside of the grocery store doors because on average 135 people pass cross through those doors every hour. If you sell 45 candy bars, how much money will it take?
input:
output:
select one for input and output :
candy bars
summer camp
people
money
What two numbers are exactly four units away from 6
Answer:
2 and 10
Step-by-step explanation:
6+4=10, and 6-4=2.
The number four units away from 6 are 2 and 10 and are represented below the number line.
What is a number line?The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Given that,
Four units away from 6
Four units higher →
6 + 4 = 10
Four units lower →
6 - 4 = 2
In the below number line, it is shown diagrammatically.
Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".
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Factor the trionomial below x2+3x-18
Answer:
(x - 6) (x + 3)
Step-by-step explanation:
The Ridgeport school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected kindergarten and seventh-grade
classes
Mean Mean absolute
deviation
Number of students in randomly
selected class
Kindergarten 19, 19.23, 30, 19
Seventh 27, 33, 34, 30, 31
grade
22
3.6
31
2.0
sed on these data, which statement is true?
A. The average size of a seventh-grade class is larger and varies
more than that of a kindergarten class.
B. The recommended number of students in a kindergarten class is
22.
C. Every seventh-grade class has 9 more students than a
kindergarten class.
D. The average size of a seventh-grade class is larger but varles less
than that of a kindergarten class.
Answer:
Step-by-step explanation:
The answer is A
Answer:
A.
Step-by-step explanation:
create a story problem about a fish tank for the tape diagram below. Your story must include a fraction.
Answer:
Step-by-step explanation:
A large aquarium has a length of 84 inches. It is located in a large basement that is properly heated and ventilated. The width should be close to 1/2 the length and the height ought to be 1/6 the length. If the fish tank requires that an aerator be placed every 28 inches along the back edge, how many aerators are needed. Note: an aerator is not placed in either corner.
Width =_________________
Height= ________________
Aerators = ______________
Find the number of cubic inches of the fish tank. If an aerator will provide enough oxygen to aerate 5 cubic feet,, do you have enough aerators for the fish to live comfortably? If the answer is no, then how many aerators do you need?
Materials A and 8 decay over time. The function કેat anunt of 10000 Sund for the cont of materiali B - 10000.25), where i represents the induws On which day will ) initial day, only (2) day 2 only (3) day 5, only (4) every day
Cashews cost $1.74 per pound. Walnuts cost $1.92 per pound. How much will 3 1/3 pounds of cashews and 2 5/9 pounds of walnuts cost in all
Answer:
Im not sure about my answer but um 11.59 maybe ? sorry if i'm wrong...
Step-by-step explanation:
1.74 x 3= 5.22 1.74 / 3 = 0.58 6.96 + 0.58 = 7.54
1.92 x 2= 3.84 1.92 / 9 = 0.21 3.84 + 0.21 =4.05
7.54 + 4.05 = 11.59
PLS HELP!!!!!!!!!!!!!!!!!!!! Which number is divisible by both 5 and 6? A. 123,465 B. 132,640 C. 164,780 D. 184,290
A,B helps it help if you doubt used calculator
jane brought 2 pounds of potting soil. she is going to fill flower pots that each hold 1/3 pound of soil. how many flower pots will jane be able to fill
Answer:
6 flower pota
Step-by-step explanation:
Since 1 pound of potting soil can hold 3 pots as 3/3 pounds of potting soils equals to 1..
3 x 2 pounds of potting soil = 6 flower pots
Alexis earns $50 a day for five days this week. Her weekly expenses are $280. How can she balance her budget?
a
increase her income $5 each day
b
increase her income $20 this week
c
decrease her expenses by $30
d
decrease her expenses by $20
Answer:
i think the answer is B
Step-by-step explanation:
PLEASE RESPOND WITHIN 20 MINUTES PLSSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!
Answer:
48 of the stamps are not foreign 48 out of 150, this isnt a percentage but the percentage would be 28%
Step-by-step explanation:
68% of 150 would = 102 stamps
subtract 150 by 102 = 48
48 stamps
-4=2/3 b
What would be the best first step to solving the
equation in one step
A girl rate of reading 3 novel per week. How long willit take her to read 24 similar novel
Answer:
8 weeks
Step-by-step explanation:
Divide 24 novels into 3 novels per week, 8 * 3 is 24 so it is 8 weeks.
It will take her approximately 8 weeks long to read 24 similar novels .
If a girl reads 3 novels per week, we can determine how long it will take her to read 24 similar novels by dividing 24 by the number of novels she reads in a week .
Number of weeks required = Total number of novels / Number of novels read per week .
Number of weeks required = 24 / 3 weeks .
Number of weeks required = 8 weeks .
Therefore, it will take her approximately 8 weeks to read 24 similar novels .
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At a football game there were 1200 spectators on Wednesday and 4.8 x 10^3 on Friday. How many times as much was the number of spectators on Friday as the number of spectators on Wednesday?
Answer:
3600
Step-by-step explanation:
4.8x10^3-1200=3600
A builder is buying property where she can build new houses the line plot shows the size of the lights for each house which is the average size of the lots
Answer:
Step-by-step explanation:
13,000
Help with this please! Math :)
Answer:
Step-by-step explanation:
Y = 10x + 4
x = -2 ; y= -16
x=-1 ; y = -6
x=0 ; y=4
x=1 ; y=14
x=2 ; y=24
The jaguars scored 37 points their first game. They scored 58 points their second game. What is their percent change?
Answer:
Change in percent = 56.75 (Approx.)
Step-by-step explanation:
Given:
Score in first game = 37 points
Score in second game = 58 points
Find:
Change in percent
Computation:
Change in percent = [(Score in second game - Score in first game)/Score in first game]100
Change in percent = [(58-37)/37]100
Change in percent = [(21)/37]100
Change in percent = 56.75 (Approx.)
HELP VERY URGENT NEED HELP RIGHT AWAY!!!!
Answer:
I think its A.
Step-by-step explanation:
Answer: B
3x-y=-1
Step-by-step explanation:
Slope of a Perpendicular like is the opposite reciprocal
so slope of the new line is +3
Using the new point
(2,7) write the equation to solve for B
y=mx+b
7=3(2)+b
7=6+b
1=b
then put m and b into equation
y=3x+1
rearrange
3x-y=-1
can someone pls tell me the answer to this
Answer:
B. Only Patti is correctHope that helps!Step-by-step explanation:
Answer:
the answer is....'SOMEONE CALL AN AMBULANCE' LOL
Step-by-step explanation:
Which graph represents the equation -3 x + 5 y = -15
A. Graph A
B. Graph B
C. Graph C
D. Graph D
You conduct a survey in your school to find out each student's favorite fast food restaurant, and you want to create a
graph showing the percentage of students who chose each restaurant. Which is the appropriate graph?
line graph
stem-and-leaf
scatter plot
circle graph
Answer:
circle graph
Step-by-step explanation:
A circle graph (pie graph) will show us the percentage the best way.Answer:
The answer is circle graph
Step-by-step explanation: