During the past week, an accounting firm made a total of 77 long distance calls to its clients. Twenty-four of the calls were less than or equal to 30 minutes in duration while 41 of the calls were less than or equal to 40 minutes. The longest call was one hour and fifty-five minutes and the tenth percentile of the length of calls was 20 minutes.

Step 4 of 5 : What percentage of the calls were greater than 30 minutes in duration? Round your answer to the nearest whole number percentage.

Answers

Answer 1

The percentage of the calls were greater than 30 minutes in duration is 69%.

How to illustrate rye information?

Let N = 77 Total long-distance calls

X= 24 calls are less than or equal to 30 minutes duration

Y = N - X= 77 - 24= 53 calls are greater than 30 minutes duration

To find the percentage of calls greater than 30 minutes duration. This goes thus:

= Number of calls greater than 30 minutes / Total calls

= 53 / 77

= 0.69

Therefore, 69% of the call were greater than 30 minutes in duration.

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Related Questions

The dress store sells sweatshirts ($8) and swimsuits ($12)

Answers

Answer: 20

Step-by-step explanation:

because 8+12=20

Beau lifts weights at his local gym on a regular basis. When he started working out, he weighed 127 pounds. Beau kept track of his weight and found that he gained 2 pounds every month. If Beau’s goal is to weigh at least 155 pounds after working out for m months in a row, which inequality best represents this situation?

Answers

Answer: it would take 19 months to get to 155

Step-by-step explanation:

If Beau weighed two more each month and wanted to get to 155 then you count by two's and see that it would take 19 months to weight 155

If that was the question, I hope this helps

if that was not the question, I am sorry and will try to help more.

A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.
f(x) = x^2; shift 6 units to the left and reflect in the x-axis

Answers

Answer:

[tex]y=-(x+6)^2[/tex]

Step-by-step explanation:

Shifting 6 units left, we get:

[tex]x^2 \longrightarrow (x+6)^2[/tex]

Reflecting over the y-axis. we get:

[tex](x+6)^2 \longrightarrow -(x+6)^2[/tex]

So, the final equation is

[tex]y=-(x+6)^2[/tex]

Please answer this correctly my grade depends on it, also i have other questions like this so feel free to answer them.

Answers

The domain and range of of the graph in interval notation are [-4,3) and (-5,5).

Domain and range of a graph.

The domain are the independent variables for which an expression or equation exists while the range are the dependent variables for which an expression or equation exists.

The given graph is a piecewise function since there are several lines that make up the graph.

Te domain are values of the function lying along the x-axis of the line graph while the range are values of the function along the y-axis of the line graph.

Based on the explanation, we can conclude that the domain of the graph in interval notation will be [-4,3) and the range of the graph will be (-5,5).

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If D is the midpoint of CE¯¯¯¯¯¯¯¯, CD = x + 7, and CE = 5x - 1, determine each missing value.
x=
CD=
CE=
DE=

Answers

Answer:

5; 12; 24; 12.

Step-by-step explanation:

1) if D is midpoint, then 2*CD=CE, it means

2) 2(x+7)=5x-1; ⇔ 3x=15; ⇒ x=5;

3) CD=x+7; ⇒ CD=12;

CE=5x-1; ⇒ CE=24;

DE=CD; ⇒ DE=12.

PLEASE HELP MEEEE ILL MARK AS BRAINLIEST

For which table would 70 be the missing value, x?

Answers

Answer:

Table 3 5 (5× 14=70)

AB : BC = 3:2
Point B ∈ AC . Find the lengths of segments AB and BC if AC = 20 cm

Answers

The length of the segments AB and BC if AC = 20  then:

AB = 12cm

BC = 8cm

What is the simplest definition of a line segment?

In geometry, a line segment is defined as two different points on a line. In contrast, a line segment is a piece of a line that connects two points. A line has no endpoints and runs indefinitely in both directions, whereas a line segment has two fixed as well as definite endpoints.

Is there a distinction between a line segment as well as a ray?

Yes. A ray is not the same as a line segment. A ray has one endpoint, but a line segment has two. The ray's one end extends indefinitely, whereas the endpoints of a line segment are always specified and fixed.

According to the given data:

We know that:

a:b=c:d as a/b=c/d

AB:BC = 3:2

is AB/BC=3/2

AB=3/2*BC

AC=20=AB+BC

So,

20=3/2*BC+BC

13/2BC=20

BC=8cm

AB=20-8=12cm

The length of the segments AB and BC if AC = 20  then:

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find the number of stamps measured 3cm × 4cm needed to fill the square card with a side of 12cm​

Answers

Answer:

Breadth of stamp=3 cm

Length of stamp=4 cm

Area of stamp = Area of rectangle = l*b = 3*4 = 12 cm^2

Side of square card = 12 cm

Area of card = Area of square = side^2 = 12^2 = 144 cm^2

No. of stamps that can be filled in card

= Area of card / Area of stamp

= 144/12

= 12

:. 12 stamps can be filled in a card of side 12 cm.

A water hose cost 3.60 per meter. Sam buys a 4.5 m long hose. how much does sam pay?

Answers

Step-by-step explanation:

for 1m=3.60

for 4.5m

4.5(3.60)=16.30

16.40 is the cost!!!!

What is the inverse of this function?
f(x)=√x
+ 3, x ≥ − 3
f-¹(x) =
x²-
-
for x ≤

Answers

Answer:

4, 3, 0

Step-by-step explanation:

Let f(y)=x.

[tex]x=-\frac{1}{2}\sqrt{y+3} \\ \\ -2x=\sqrt{y+3} \\ \\ 4x^2=y+3 \\ \\ y=f^{-1}(x)=\boxed{4}x^2-\boxed{3}[/tex]

The domain of the inverse is the same as the range of the original function. For the original function, we know that it is decreasing, so the range is

[tex]y\leq -\frac{1}{2}\sqrt{-3+3}=0[/tex]

and hence the domain of our inverse is

[tex]x \leq 0[/tex]

Suppose that E and F are points on the number line.
If EF=15 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.

Answers

When E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.

We are given that:

E and f are the points on a number line.

We are also given that the distance between E and F is:

EF = 15 units

Now, we know that E lies at 4

E = 4

We need to find the location of the point F

Now, since we also know that:

EF = F ± E

Substituting the values:

15 = F ± 4

We get that:

15 = F + 4   or   15 = F - 4

F = 15 - 4    or   F = 15 + 4

F = 11           or   F = 19

Therefore, we get that, when E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.

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11h-5(h+3)=-63 find they value of h

Answers

Answer:

h = -13

Step-by-step explanation:

Use PEMDAS to solve this problem.

11h - 5(h + 3) = -63

~Use distributive property to simplify [ a(b + c) = ab + ac ]

11h - 5h + 15 = -63

~Combine like terms

6h + 15 = -63

~Subtract 15 to both sides

6h = -78

~Divide 6 to both sides

h = -13

Best of Luck!

Answer:

Step-by-step explanation:

11h - 5(h + 3) = -63

-Multiply parenthesis so

-5(h) + -5(3) = -5h - 15

New equation: 11h - 5h - 15= -63

                                   +15  +15

(add 15 to both sides)

[tex]6h=-48\\\\\frac{6h}{6} =\frac{-48}{6} \\ \\ h=-8[/tex]

h = -8

1) Six decreased by five times a number is thirty-one.

2) The product of five and a number increased by seven is twenty-seven.​

Answers

Answer:

[tex]6 - (5 \times x) = 31[/tex][tex]5 \times x + 7 = 27[/tex]

Please answer as soon as possible correctly

Answers

Answer: The answer will be in the explanation

Step-by-step explanation:

In step 2 she made the mistake of not dividing the 12/2 and replacing 5 with -13. In step 4 she made the mistake of removing the coefficient. The correct way to do it is this way. Look below on how to do it correctly!

(\sqrt[3]{125}-12/2)(4-6)^2

(5-12/2)(4-6)

(5-6)(4-6)^2

-1(4-6)^2

-1+4

3

Hope this helps owo

Gillian earns $7.50 an hour babysitting on the weekends. Last week she babysat for 2.2 hours on Saturday and 3.5 hours on Sunday. How much did Gillian earn?
Group of answer choices

Answers

Gillian earned  $42.75 last week.

Arithmetic operators are used to perform mathematical operations like addition, subtraction, multiplication and division.

...

There are 7 arithmetic operators in Python :

Addition.

Subtraction.

Multiplication.

Division.

Modulus.

Exponentiation.

Floor division.

Gillian work

2.2 hours+3.5 hours= 5.7 hours

5.7 hours× $7.50 =  $42.75

Therefore Gillian earned $42.75

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Find the five number summary for Q3

Answers

It’s 6 or maybe it’s 5

Find the derivative:
y=(1+cosx)/(1+sinx)

I NEED STEPS

Answers

[tex]y=\cfrac{1+cos(x)}{1+sin(x)}\implies \cfrac{dy}{dx}=\stackrel{\textit{\Large quotient rule }}{\cfrac{-sin(x)( ~~ 1+sin(x)~~ )-( ~~ 1+cos(x) ~~ )cos(x)}{( ~~ 1+sin(x) ~~ )^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-sin^2(x)-cos(x)-cos^2(x)}{( ~~ 1+sin(x) ~~ )^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-( ~~ sin^2(x)+cos^2(x) ~~ )}{( ~~ 1+sin(x) ~~ )^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-1}{( ~~ 1+sin(x) ~~ )^2} \end{array}}~\hfill[/tex]

Which of the following groups of words are listed in alphabetical order?

A) tank, target, tap, tangerine

B) peak, pearl, peanut, peasant

C) light, lock, locust, lottery

Answers

The groups of words that are listed in alphabetical order will be B. peak, pearl, peanut, peasant.

What is alphabetical order?

It should be noted that alphabetical order simply had to do with the arrangement based on the alphabet.

In this case, the groups of words that are listed in alphabetical order will be peak, pearl, peanut, peasant.

Therefore, the correct option is B.

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What are these answers?

Answers

Answer:

1: 60 2: 45

Step-by-step explanation:

60, 90, 30 triangle

45 45 90 triangle

I have 3 questions the first one is What is an algebraic expression for “10 more than the product of 9 and a number y”? And the second one is Evaluate the following expression: (10 - 3y) - 1 , if y = 3. last one is Find the Quotient: 55 -211

Answers

From these problems, we have that:

The algebraic expression is: 10 + 9y.When y = 3, the expression has a value of 0.The quotient between two numbers is the division between them(it is not clear which numbers are in the quotient).

What is the equivalent algebraic expression?

The product of 9 and y is given by 9y.10 more than the expression is 10 added to the expression, hence 10 + 9y.

Hence the algebraic expression is: 10 + 9y.

How to find the numeric value of a function/expression?

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the expression is:

(10 - 3y) - 1.

When y = 3:

(10 - 3 x 3) - 1 = 1 - 1 = 0.

What is the quotient between two amounts?

The quotient between two amounts a and b is given by a divided by b. For example, the quotient between 10 and 2 is:

10/2 = 5.

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Multiply the number by 4. Add 6 to the product. Divide this sum by 2. Subtract 3 from the quotient.

Answers

Answer:

-1.5

Step-by-step explanation:

Let x be the number

(4x+6)÷2 =-3

2(2x+6)÷2=3

2x+6=3

2x=3-6

2x=-3

x=-3÷2

x=--1.5

A two-liter bottle contains 53.1 centiliters of oil and 7.9 deciliters of water. How much more liquid is needed to fill the bottle?

Answers

Answer: 0.679 liters

Step-by-step explanation:

A centiliter is a measure of volume equal to one hundredth of a liter

Hence,

53,1*0.01=

0.531 liters

A deciliter is a measure of volume equal to one tenth of a liter

Hence,

7.9*0.1=

0.79 liters

0.531+0.79=

1.321 liters

2-1.321=

0.679 liters

Solve for the percentage in the problem. Round to the nearest tenth of a percent.

$953 is _____% of $1717
Select one:
O a. 0.6
O b. 0.1
O c. 180.2
O d. 55.5

Answers

O D. 55.5 and I was right

HELP PLEEAAASE!!!
Use the digits 1 to 9 only once to create an equation where x has the greatest possible value. __+ x =__

Answers

Answer:

Easy. 1+x=9 sounds like the highest factor for x

The number 27.6 is what percent of 69?

The number 27.6 is ____% of 69.

(Round to the nearest whole number, if necessary.)

Answers

Answer:

27.6​ is 40%​ of 69.

Step-by-step explanation:

A computer programmer receives a weekly wage of $1350, and &229.50 is deducted for income tax. Find the percent of the computer programmer’s salary deducted for income tax.

Answers

The percent of the computer programmer’s salary deducted for income tax is 17%.

What is percentage of a number?

A percentage is a ratio or number that can be expressed as a fraction of 100. In order to calculate a percentage of a number, we must divide it by 100 and then multiply the resulting number by 100. The proportion therefore denotes a component per 100. A percentage of one hundred is what is meant by the word "percent."

Given, weekly wage is $1350 and deduction amount for income tax is $229.50.

The percent of deduction is

[tex]\frac{229.50}{1350} \times 100\\=0.17 \times 100\\=17[/tex]

Therefore, the percent of the computer programmer’s salary deducted for income tax is 17%.

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What is (3.3 x 107) (5.2 x 108) in scientific notation?
OA 17. 16x 1015
A.
OB. 1.716x 1016
OC. 17.16x 1056
OD. 1.716x 1057

Answers

Step-by-step explanation: I hope this helps.

Answer: The answer is B.

525 less than c gives 699. translate to algebraic equation and Solve the translated sentence.​

Answers

I believe the answer is 1224. C=1224
C-525=699 so 699+525=1224.
I hope this helps :)

What is the slope of the line y=x+4?
O A.
1112
OB.
OC. 4
OD. -4

Answers

Slope is 1/2
Because y = mx + b
The fraction next to the variable x is the slope, m.

The graph of the quadratic function x2−4x−5=0 crosses the x-axis at x=−1 and x=5. What are the zeros of this function?

Answers

Answer:

x = 5, -1

find the roots and the x

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