Answer:
...
Step-by-step explanation:
The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
1. State the null and alternative hypotheses for the test.
2. Compute the value of the test statistic.
3. Draw a conclusion and interpret the decision.
Answer:
H0 : μ = 4.50
H1 : μ > 4.50
Test statistic = 1.525
we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.
Step-by-step explanation:
H0 : μ = 4.50
H1 : μ > 4.50
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(4.94 - 4.50) ÷ 2.10/ sqrt(53)
0.44 / 2.10/ sqrt(53)
= 1.525
α = 1 - 98% = 0.02
Decision region :
Reject H0 ; if Pvalue < α
Pvalue = p(Z < 1.525) = 0.936
Pvalue = 0.936
Since Pvalue > α ; We fail to reject H0
Hence, we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.
In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 16 hours. Write a function showing the number of bacteria after tt hours, where the hourly growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per hour, to the nearest hundredth of a percent.
Answer:
The hourly growth rate is of 4.43%.
The function showing the number of bacteria after t hours is [tex]P(t) = 80(1.0443)^t[/tex]
Step-by-step explanation:
Equation of population growth:
The equation for the population after t hours is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
The conditions are such that the number of bacteria is able to double every 16 hours.
This means that [tex]P(16) = 2P(0)[/tex]. We use this to find r.
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]2P(0) = P(0)(1+r)^{16}[/tex]
[tex](1+r)^{16} = 2[/tex]
[tex]\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{16}}[/tex]
[tex]1 + r = 1.0443[/tex]
[tex]r = 1.0443 - 1[/tex]
[tex]r = 0.0443[/tex]
The hourly growth rate is of 4.43%.
80 bacteria are placed in a petri dish.
This means that [tex]P(0) = 80[/tex].
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 80(1+0.0443)^t[/tex]
[tex]P(t) = 80(1.0443)^t[/tex]
The function showing the number of bacteria after t hours is [tex]P(t) = 80(1.0443)^t[/tex]
A person invests $4,250 in an account that earns 5.25% interest compounded annually. let f(t) be the value in dollars of the account after t years. give an equation for f f(t)=______. what will be the value of the account after 5 years? round your answer to the nearest cent. $_______. after 10 years? round your answer to the nearest cent $______
Answer:
see the answers below
Step-by-step explanation:
Given data
P=$4,250
Rate= 5.25%
Time= t years
1. The compound interest expression is
A=4250(1+0.0525)^t
A=4250(1.0525)^t
2. P=$4,250
Rate= 5.25%
Time= 5 years
1. The compound interest expression is
A=4250(1+0.0525)^5
A=4250(1.0525)^5
A=4250*1.2915
A=$5488.875
3. P=$4,250
Rate= 5.25%
Time= 10years
1. The compound interest expression is
A=4250(1+0.0525)^10
A=4250(1.0525)^10
A=4250*1.6680
A=$7089
I git dune wif this in 3 minits
782+821=___
2x2=___
Answer:
♡♡♡♡♡♡♡♡♡♡♡♡
Step-by-step explanation:
782 + 821 = 1,603
2 x 2 = 4
1
Write the equation of a circle whose center is at (-11,–8) and whose radius is 4.
Answer:
Step-by-step explanation:
[tex](x_c,y_c)=(-11,-8) \quad r=4\\(x-x_c)^2+(y-y_c)^2=r^2 \quad (x+11)^2+(y+8)^2=4^2[/tex]
x = 8 – 2y
x + 3y = 12
9514 1404 393
Answer:
(x, y) = (0, 4)
Step-by-step explanation:
Since we have an expression for x, substitution works nicely.
(8 -2y) +3y = 12 . . . . . . use the first equation to substitute for x in the 2nd
y = 4 . . . . . . . . . . . . subtract 8, collect terms
x = 8 -2(4) = 0 . . . . substitute for y in the first equation
The solution is (x, y) = (0, 4).
Oriole Rental Company provided the following information to its auditors. For the year ended March 31, 2017, the company had revenues of $876,223, general and administrative expenses of $352,479, depreciation expenses of $131,455, leasing expenses of $108,195, and interest expenses equal to $78,122. If the company's average tax rate is 34 percent, what is the cash flow from operating activity for Oriole Rental? (Round intermediate calculations and final answer to the nearest whole dollar, e.g. 5,275.) Cash flow from operation
Answer:
the cash flow from operation is $267,397
Step-by-step explanation:
Given that
Revenues be $876,223
General and admin expense $352,479
Depreciation expense $131,455
Leasing expense $108,195
Interest expense $78,122
Tax rate is 34%
We need to find out the cash flow from operation
As we know that
Cash flow from operation = (Revenue - general & admin expense - depreciation - leasing - interest) × (1 - tax rate) + depreciation
= ($876,223 - $352,479 - $131,455 - $108,195 - $78,122) × (1 - 0.34) + $131,455
= $205,972 × (1 - 0.34) + $131,455
= $267,397
Hence, the cash flow from operation is $267,397
I need help please don’t scam or no brainlist
3 An expression is shown below
3 +8+4x2 - 12
Place the parenthesis in the expression
so that it has a value of 18.
A leaf falls 18 feet from a branch to the ground at a rate of 5 feet every 2 seconds.
Determine whether each statement about the leaf is true. Select True or False for each statement.
True False
The initial height of the leaf is 18 feet.
The leaf falls at a rate of foot every 1 second.
The leaf is 3 feet above the ground after 6 seconds.
Answer:
The initial height of the leaf is 18 feet. (False)
The leaf falls at a rate of foot every 1 second. (False)
The leaf is 3 feet above the ground after 6 seconds. (True)
The equation x^3-6x=72 has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answer correct to 1 decimal place. You must show all your working. On the same line as your final answer you must write ‘to 1 decimal place’
Answer:
4.6
Step-by-step explanation:
x³-6x=72
x³-6x-72=0 .... a solution between 4 and 5
x=4 x³-6x-72= 64-24-72 = -32
x=5 x³-6x-72= 125-30-72 = 23
we have to find an x value that makes x³-6x-72 --> 0
see the attachment, we can find the 0 value of x is between 4.63 and 4.64
‘to 1 decimal place’ of the solution is: 4.6 (4.63 is too small and 4.64 is too big)
How many
sixths
are
there in (a) one whole?
(b) Two wholes?
Answer:
(b) 2 / (1/6) = 2 * (6/1) = 12
(a)There are six sixths in a whole. In terms of numbers, 6/6 = 1.
Answer:
6 sixths in one whole and 12 sixths in 2.
2 A line passes through the point (9,-8) and has a slope of 3 ving Write an equation in point-slope form for this line.
Answer:
y=3x-35
Step-by-step explanation:
y=ax+c
a=slope=3; x and y are given, 9 and -8. put into the formula and solve for c.
-8=9*3+c
-35=c
y=3x-35
which scatterplot most likely has a line of best fit represented by y=-2x-1?
NO LINKS PLS
Answer:
The answer to your question is the letter C
Answer:
I think it is c
Step-by-step explanation:
there were 125 customers at walmart. 64% paid with a credit card;the rest paid with cash. how many paid with cash?
Answer:
45
Step-by-step explanation:
100-64 is 36. 36% paid with cash 125×35%=45 or 125×.36=45
Triangle ABC what is the measurement of Angle C on degrees if Angle A is 32.8° and Angle is 80°.
Answer:
10.8°degrees
Step-by-step explanation:
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Rewrite the polynomial 2x2 + x + +-7x + 1 in standard form.
Answer:
x-7x+5
Step-by-step explanation:
4+x-7x+1
x-7x+5
Without using your calculator work out 1 7/12 + 13/20. Give answer in its simplest from
Answer:
31/15
Step-by-step explanation:
First, find the common multiplier of 20 and 12 (the lowest number that both fractions can be increased to). This is 60 (12 x 5 = 60, 20 x 3 = 60) and adjust the numerators accordingly: multiply 17 by five to get 85, and multiply 13 by three to get 39. Add them up to get 124/60, and then simplify - the answer will be 31/15! Hope this helps! Sorry if this was tough to understand, typing off my phone, so feel free to ask any questions :)
Answer:
0.720833
Step-by-step explanation:
First find the LCM of the two fractions
Then add the numerators together
form a single fraction
Lastly cancel the numerator and denominator if possible
What is the area of the triangle 2,7,5-by the time you answer this I might already be done with this beck add all to slow to answer it-no hate tho :;
Answer:
5 units squared
Step-by-step explanation:
To find the area of a triangle, the formula is base * height/2
the base of this triangle is 2 while the height is 5
area = (2*5)/2
area = 5 units squared
6. Find the Volume of the Triangular Prism below:
A) 2145 ft to the 3 power
B) 1072.5 ft to the 3 power
C) 728 ft to the 3 power
D) 900 ft to the 3 power
Answer:B 1072.5 ft^3
Step-by-step explanation: The steps are in the picture
At a sale this week, a table is being sold for $426. This is a 29% discount from the original price. What is the original price?
Answer:
$600
Step-by-step explanation:
Let x = og price
x - 0.29x = 426
0.71x=426
÷0.71 ÷0.71
x = 600
........................
Answer:
.......................................................................................................................
Step-by-step explanation:
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A map's scale is 1 inch : 3.5 miles.
If the distance on the map is
8 inches, then the actual distance
in real life is miles.
Answer:
28
Step-by-step explanation:
1 in.=3.5
so 8×3.5=28
so it is 28 miles
Please help me!! It’s a test!!
A carbon filter is used by a scientist to filter out small particles of soil and rocks from
a water sample taken from a stream. The exponential function F(x) = 500(0.35) can
be used to model the function. Which of the following could be represented by the
value 500 in the function rule?
Answer:
The number of particles of soil and rock particles found in the water.
Step-by-step explanation:
Since we are filtering out small particles of soil and rocks, then we can assume that they are being reduced greatly with each filter. So we can assume that since the 500 is being reduced by 65%, then the 500 is the only other thig being reduced, which in this case is the particles of soil and rocks.
Please help me no links
Pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answer:
2 terms
Step-by-step explanation:
I hope it will help you
I am doing this test and I need questions questions ASAP I will give brainiest to whoever answers it correctly
Answer:
The correct answer there is the first option
What is the correct expanded form and value of ( 4/5)³ ?
Answer:
its the second one
Step-by-step explanation:
see image below
Please help me and no linkd
Answer:
Um what’s the question?
Step-by-step explanation:
Answer:
*links* hope this helped!
Step-by-step explanation:
please help i am giving away brainliest
An aquarium has the dimensions shown in the diagram. What is the volume of the aquarium?
A. 3240 in.3
B. 432 in.3
C. 540 in.3
D. 6480 in.3
no dam links
Answer:
6,480in.3
Step-by-step explanation:
Hope this helps!
The volume of the aquarium is 6480 [tex]in. ^{3}[/tex]
What is rectangular prism?A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
What is volume of rectangular prism?The volume of a rectangular prism is the space that is inside it .
The volume of the rectangular prism, V = Length * Breath * Height
According to the question
Length of the aquarium = 36 in.
Breath of the aquarium = 12 in.
Height of the aquarium = 15 in.
As aquarium is a rectangular prism
volume of the aquarium, = Length * Breath * Height
= 36 * 15 * 12
= 6480 [tex]in. ^{3}[/tex]
Hence, The volume of the aquarium is 6480 [tex]in. ^{3}[/tex]
To know more about rectangular prism here:
https://brainly.com/question/21308574
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