Answer:
a) 0.4121
b) $588
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
We solve using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = $646
z = 646 - 633/45
z = 0.22222
Probability value from Z-Table:
P(x<646) = 0.58793
P(x>646) = 1 - P(x<646) = 0.41207
≈ 0.4121
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Converting 0.16 to percentage = 0.16 × 100% = 16%
The z score of 16%
= -0.994
We are to find x
Using z score formula
z = (x-μ)/σ
-0.994 = x - 633/45
Cross Multiply
-0.994 × 45 = x - 633
-44.73 = x - 633
x = -44.73 + 633
x = $588.27
Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16
is $588
Sam bought a video game console for $150. He later sold the video game console for 13/12 of price he originally paid. Which statement about the price sam sold the video game consol for is true?
Answer:
1/45
Step-by-step explanation:
Problem
What is the constant of proportionality in the equation y=3xy
Answer:
-3
Step-by-step explanation:
y=3xy and subtract y on both sides that gives u -1 and then you have -1=3x and then divide 3 on both sides you are left with -3 =x
Unit 3 lesson 16 homework
Answer:
huh what is your question ????
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)
Answer:
D divide both the numerator and denominator by cos(x)cos(y)
Step-by-step explanation:
just took the test
Find the number for which:
75% is 4.5 cm
Hiii this due today can you draw a digram for 5 times 20 please THIS IS DUE TODAY THANK You
Answer:
draw the diagram and multiply 5x20
Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.
a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.
b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.
Answer:
a) Equation for Snow Dome Ski Resort:
[tex]I_s = 65+t[/tex]
Equation for Mt. Winterpark Ski Resort:
[tex]I_m = 74+\frac{t}{2}[/tex]
b) After 19 hours, Snow dome will have more snow.
Step-by-step explanation:
Given that:
Initial snow at Snow Dome Ski Resort = 65 inches
Snowing rate at Snow Dome Ski Resort = 1 inch per hour
Initial snow at Mt. Winterpark Ski Resort = 74 inches
Initial snow at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}[/tex] inch per hour
a) To write equations that show amount of snow at each resort.
Let the time in hours be represented by [tex]t[/tex].
Snow increased in [tex]t[/tex] hours by snowing at Snow Dome Ski Resort = [tex]1\times t = t[/tex] inches per hour
Snow increased in [tex]t[/tex] hours by snowing at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}\times t = \frac{t}{2}[/tex] inches per hour
Equation for Snow Dome Ski Resort:
[tex]I_s = 65+t[/tex]
Equation for Mt. Winterpark Ski Resort:
[tex]I_m = 74+\frac{t}{2}[/tex]
b) Time at which Snow Dome has more snow.
Using the above equations, we can write the following inequality:
[tex]65+t>74+\dfrac{t}{2}\\\Rightarrow t-\dfrac{t}{2}>74-65\\\Rightarrow \dfrac{t}{2}>9\\\Rightarrow t>18\ hours[/tex]
After 18 hours have passed, they will have equal amount of snow.
After 19 hours, Snow dome will have more snow.
solve for x, and explain how u did it :)
Answer:
71 I THINK
Step-by-step explanation:
since the angles on the base of an isosceles triangle equal each other you would wright 71=x as your equation. there is nothing else to solve so 71 is your answer
someone pleaseee answer
Answer:
B
Step-by-step explanation:
B-aby you got the stuff
Someone please help with letter B
Answer:
No because the coefficiant is different for each pair of mothers and daughters
Step-by-step explanation:
7x31=????????????????
Answer:
217
Step-by-step explanation:
7 × 31 = 217I hope this helps!
. A sporting goods store offers a rewards program where the customer earns a $20 gift card for every 1,500 points. Suppose a new customer receives a certain number of points when signing up and earns a number of points for every dollar purchased at the store. If a new customer has 750 points after spending $30 and 1,025 points after spending $85, how much does the customer have to spend to earn the first gift card?
390 because 1025 plus 85 =1,110-1,500 = 390 so he has to spend 390 more
PLEASE PPL ARE GETTING IT WRONG!!!
Answer:
0.59
Step-by-step explanation:
the process is of unitary method
Let f(x) = 3x + 2 and g(x) = - 2x + 1 Find g(f(- 2))
is it
a: -7
b: 17
c: 0
d:9
Answer:
(d) 9
Step-by-step explanation:
f(x) = 3x + 2
g(x) = - 2x + 1
g(f(x)) = - 2(3x + 2) + 1 = - 6x - 4 + 1 = - 6x - 3
g(f(-2)) = - 6(- 2) - 3 = 9
Write an equation for the line in slope-intercept form, Passing through the point (1,-6) and (-1,0)
y =
Solve
Show full work
Answer:
y=3x+3
Step-by-step explanation:
y=mx+b is slope intercept form
to find the slope(m) you need to plug your numbers into the equation y(2)-y(1)/x(2)-x(1)
which means subtract the Y's together and the X's together and put the quotient of the Y's on top. Note that you have to choose a set of number to be the first group and the other set as the second group
so (0-6)/(-1-1) = -6/-2 = 3
3 will be your slope. plug that and a set of your numbers into the slope intercept equation
0=3(-1)+b
0=-3+b
3=b
y=3x+3
PLEASEEEE HELPPPPPPPPPPPPPPPPPPPP
What is the average daily temperature for all ten years?
49.6
50.8
52.4
53.6
Answer:
51.6
Step-by-step explanation:
Add them together and divide by 4
Answer: it would be D. 53.6
<3
A company has 3835 employees. Each employee is to be given an ID number that consists of one capital letter followed by 1 digits.
How many different ID numbers are possible?
Answer:
7670
Step-by-step explanation:
y Andrew is solving the problem
30 , 6. He reasons that, because 6 is
twice as big as 3, then 30 , 6 must be
twice as big as 30 , 3. What mistake is
Andrew making?
Which of the following numbers is not a prime number?
A) 13
B) 17
C) 18
D) 19
E) 23
Please help me with question number 2
Answer:
this is easy u need just to put values in the formula
Step-by-step explanation:
putting values in the formula
T =
[tex]2\pi \sqrt{l \div g} [/tex]
T =2×3.14√0.65÷9.8
T= 6.28√0.066
T=6.28×0.25
T=1.617s answer
what is 71 3/7% equal to in simplest form?
Answer:
23 2/3 i think sorry for the other my sponese my sister came and typed the response
What is the slope of (0,4) and (3,10)? Please helppppp a girl outt !
Answer:
M=6 OR slope=6
Step-by-step explanation:
Use slope formula
Answer:
The slope of the given line is 2Step-by-step explanation:
Slope is defined as the change of y over the change of x or rise over run. This is calculated by subtracting the second set of vales from the first set of values.
For y:
We have 10 and 4 for the y coordinates (y is the second number in a coordinate set). We will subtract 4 from 10, to get a result of 6.
For x:
We have 3 and 0 for the x coordinates (x is the first number in a coordinate set). We will subtract 0 from 3, to get a result of 3.
Slope is 6/3 or 2/1
The slope of the given line is 2Ruth got to the library at 1030 am.
She stayed at the library for 50 minutes.
Then she walked home.
Ruth took 1 1/4 hours to walk home.
(b) At what time did Ruth get home?
Answer:
She got home at 12:35 P.M.
Step-by-step explanation:
She got to the library at 10:30 am.
She spent 50 minutes there
10:30 + 50 mins can be seperated to 30 mins and 20 mins
So, 30 mins goes to 11 and 20 mins more equals 11:20.
She took 1 1/4 hours to get home
1 hour more means 12:20, and since 1/4 of an hour is 15 mins,
12:20 + 15 = 12:35 P.M
hope this helped!
I need help plz!!!!!! Will give 100 points.
Point-Slope Form: y - 5 = 3(x - 1)
Standard Form: ???? HELP
What is the value of [(3/5)^0]^-12
Answer:
The value is 1
Step-by-step explanation:
3/5 = 0.6
0.6^0 = 1
1^-12 = 1
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.
Answer:
cost per unit of gas i.e y= 0.36
Step-by-step explanation:
Let cost per unit of electricity = x
and cost per unit of gas = y
The equations required will be:
[tex]600x+100y=390 ---- eq(1)\\400x+250y=326----eq(2)[/tex]
We need to find value of y i.e cost per unit of gas
Solving equations to find value of y
We will use elimination method
Multiply equation 1 by 4 and 2 by 6
[tex]2400x+400y=1560 ---- eq(1)\\2400x+1500y=1956----eq(2)[/tex]
Subtracting eq 1 from eq 2
[tex]2400x+1500y=1956----eq(2)\\2400x+400y=1560 ---- eq(1)\\- \ \ \ \ \ - \ \ \ \ \ \ \ \ \ \ -\\----------------\\1100y=396\\y=\frac{396}{1100}\\y=0.36[/tex]
Solving we get y=0.36
Putting value of y in eq(1) to find value of x
[tex]600x+100y=390\\600x+100(0.36)=390\\600x+36=390\\600x=390-36\\600x=354\\x=\frac{354}{600}\\x=0.59[/tex]
Value of x = 0.59
But we need to find only cost of unit of gas i.e y
So, cost per unit of gas i,e y= 0.36
What is the Greatest Common Factor of 16 and 18
06
8
O 4
02
Answer:
2
Step-by-step explanation:
2 is the hfc or gfc (depending on if you say highest or greatest) becausee it is the largest factor in both numbers
40 subtracted from five times a number is 8 more than the number write the equation
Answer (let x be the number):
5x - 40 = x + 8
I hope this helps!
The number in the equation 5n - 40 + 8 = n is 8.
What is a numerical expression ?A numerical expression is formed by numbers and their operation.A numerical expression can also be constructed from given statements.
We can also construct numerical expression form real life scenarios.
According to to the question statement 40 subtracted from five times a number is 8 more than the number and we have to form an numerical expression.
Let the number be 'n'.
∴ 5n - 40 + 8 = n
5n - n = 40 - 8.
4n = 32.
n = 32/4.
n = 8.
learn more about numerical expression here :
https://brainly.com/question/14642484
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FOR BRAINLIEST! which expression is the simplest form of - (4x^3+x^2) + 2(x^3-3x^2)?