At a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 130 calls and a standard deviation of 10 calls. What is the probability that during a given hour of the day there will be less than 129 calls, to the nearest thousandth?

Answers

Answer 1

Answer:

0.460

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 129 calls

μ is the population mean = 130 calls

σ is the population standard deviation = 10 calls

Hence:

Z score = x - μ/σ

=129 - 130/10

=-0.1

Probability value from Z-Table:

For x less than 129 calls = x < 129

P(x<129) = 0.46017

Approximately to the nearest thousandth = 0.460

Therefore, the probability that during a given hour of the day there will be less than 129 calls, to the nearest thousandths is 0.460


Related Questions

on March 1, Tessa Obato deposited a check for $9,364.85 in a savings account at state bank. The account pays 4% interest calculated on a daily basis. five days later, on March 6, she withdrew $1,000.00. on March 18, 12 days later, she withdrew $2,000.00. On March 28, 10 days later, she withdrew another $2,000.00. three days later, on March 31, the bank computed interest. how much simple interest did her money earn?

Answers

Answer:
Her money earned a simple interest of $24.55.

Step-by-step explanation:
Since Tessa deposited $9364.85 and she gets 4% interest on daily basis, then before she withdraws $1000 after 5 days, she must've gotten an interest of:
9364.85 x 4% × (5/365) ≈ 5.13

After withdrawing $1000, she has $8364.85. If this remains in the account for 12days, as we have in the question, then the interest on that will be:
8364.85 x 4% × (12/365) ≈ 11.00

After withdrawing $2000, she has $6364.85. If this remains for 10days, her interest would be:
6364.85 x 4% × (10/365) ≈ 6.98

After withdrawing $2000, she has $4364.85. If this remains for 3days, her interest would be:
4364.85 x 4% × (3/365) ≈ 1.44.

In totality, her interest would be: 5.13 + 11.00 + 6.98 + 1.44 = 24.55.

Hence, her money earned a simple interest of $24.55.

I hope this can help

What is the value of the missing side? Round to the nearest hundreth.
Help please!

Answers

A value of the missing side would be 69

3.

Identify the vertex of the graph. Tell whether it is a minimum or maximum.


A. (–1, 1); minimum

B. (–1, 1); maximum

C. (1, –1); minimum

D. (1, –1); maximum

Answers

Answer:

C. (1, –1); minimum

Step-by-step explanation:

The answer to your question is letter “C”

The correct answer is c

PLS HELP WILL GIVE BRAINLIEST( IN PIC)

Answers

Answer:

hahahahahhahahahahahahah

The table and the graph below each show a different relationship between the same two variables, x and y: How much more would the value of y be on the graph than its value in the table when x = 12? (1 point) a 20 b 30 c 60 d 70

Answers

Answer:

c. 60

Step-by-step explanation:

in the table :

x = 12 , y = 12×25=300

on the graph :

x= 12 , y = 12×30=360

so, the difference is 360-300 = 60

In table

Rate of change

(125-100)/(5-4)25

Whne x=12

y=12(25)=300

In graph

Rate of change

(120-60)/230

When x=12

y=12(30)=360

Difference

360-300=60

5) The distance from home plate to dead center field in Sun Devil Stadium is 409 feet. A baseball
diamond is a square with a distance from home plate to first base of 90 feet. How far is it from first
base to dead center field?
A) 386.5 feet
B) 476.9 feet
C) 351.2 feet
D) 334.1 feet

Answers

the answer is C ; 351.2 feet!

Which of these numbers gives -7 when divided by -14

a -98

b -2

c 2

d 98

Answers

Answer: d. 98

Step-by-step explanation:

98/-14=-7

4.
The expression for the area of a rectangle whose Length
(2p + 4) units and breadth 6 units is:

A. 12 + 24p
B. 24 + 12p
C. 4p + 20
D. None of these​

Answers

Answer:

D. None of this

Step-by-step explanation:

(2p+4) 6

=12p+24

Answer:

None of these

Step-by-step explanation:

area of rectangle=length*breadth

=(2p+4)*6

=6*2p+4*6

=12p+24

What is 1/3 minus 1/6

Answers

Answer:

Step-by-step explanation:

1/3 - 1/6

take the lcm of 3 and 6

lcm=6

=1*2-1/6

=2-1/6

=1/6

PLZ HELPPPPPP!!!!!!!!!​

Answers

Answer:

the answer is B

Step-by-step explanation:

In a study to determine frequency and
dependency of cell-phone usage relative to
students in Grade 11 and Grade 12, there
were 285 students
chosen at random, and
the following results were recorded. What is the probability that a student who does not have a cell phone is from grade 11?

Answers

Using it's concept, it is found that there is a 0.6 = 60% probability that a student who does not have a cell phone is from grade 11.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that there are 30 students with no cell phones, and of those, 18 are in grade 11, hence the probability is given by:

p = 18/30 = 0.6.

0.6 = 60% probability that a student who does not have a cell phone is from grade 11.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ2

The point P(7, −3) lies on the curve y = 3/(6 − x). (a) If Q is the point (x, 3/(6 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. (i) 6.9 mPQ = 1

Answers

Answer:

The right answer is "3.33333".

Step-by-step explanation:

The given points in the question are:

[tex]P=(7,-3) = (x_1,y_1)[/tex]

[tex]Q=(x,\frac{3}{6-x} )=(x_2,y_2)[/tex]

Now,

The slope of PQ will be:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By putting the values, we get

= [tex]\frac{\frac{3}{6-x}+3 }{x-7}[/tex]

= [tex]\frac{3+18-3x}{(6-x)(x-7)}[/tex]

= [tex]\frac{21-3x}{(6-x)(x-7)}[/tex]

= [tex]\frac{3(x-7)}{(6-x)(x-7)}[/tex]

= [tex]\frac{3}{x-6}[/tex]

hence,

x = 6.9

it's slope will be:

= [tex]3.33333[/tex]

A store is having a 20% off sale. The final sale price of the items will include 5% sales tax.
The final sale price of an item can be expressed as 1.05(x – 0.2x), where x is the original price of the item.

Answers

Answer:

0.84 and 84

Step-by-step explanation:

1.05 (x -0.2x) = 1.05 (1-0.2)x = 1.05 * 0.8 x= 0.84x

84% of the original price of item

Answers:

first box =  0.84xsecond box = 84

=================================================

Explanation:

Think of x - 0.2x as 1x-0.2x. The numbers out front, the 1 and -0.2, combine to 0.8

The 0.8 converts to 80%, meaning that if there's a 20% off sale, then you still have to pay the remaining 80% of the original price.

The 1.05 indicates that we started with 100%, and then add on 5% sales tax, so 100% + 5% = 1 + 0.05 = 1.05

---------------

Simplifying the expression given to us leads to

1.05(x - 0.2x)

1.05(1x - 0.2x)

1.05(0.8x)

(1.05*0.8)x

0.84x

This shows that the final price, after tax, is 84% of the original price.

A line passes through (-2, 7) and (3, 2).
Find the slope-intercept form of the equation of the line.
Then fill in the value of the slope, m , and the value of the y-intercept, b, below.

m=
b=

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}[/tex]

Slope of the line :

[tex] \large\boxed{ \mathrm{ \frac{y_2 - y_1 }{x_2 - x_1} }}[/tex]

[tex] \dfrac{7 - 2}{ - 2 - 3} [/tex]

[tex] \dfrac{ 5}{ - 5} [/tex]

[tex] - 1[/tex]

therefore, m = slope = -1

The equation of the line will be :

y = mx + b

y = (-1 × x) + b

y = -x + b

Now, let's plug the value of x and y from coordinates of second point,

[tex]y = - x + b[/tex]

[tex]2 = - 3 + b[/tex]

[tex]b = 5[/tex]

Hence, the required values are :

[tex] \boxed{m = - 1}[/tex]

[tex] \boxed{ \: \: \: b = 5 \: \: \: }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

The slope of line passing through  (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

A line passes through (-2, 7) and (3, 2). We need to find the slope.

x₁=-2, x₂=3, y₁=7, y₂=2

substitute the values in formula of slope

m=2-7/3-(-2)

m=-5/5=-1

The slope intercept form of line is y=-x+b

To find b put the values of (-2,7)

7=-(-2)+b

7=2+b

7-2=b

5=b

y intercept is 5

Hence the slope of line passing through  (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Evaluate the algebraic expression h + h when b = 3, d = 12, h = 2 and r = 7.
A. 12
B. 8
C. 4
D. 0

Answers

Answer:

4

Step-by-step explanation:

h + h

h=2

2+2

4

What are the answers to these

Answers

Answer:

Step-by-step explanation:

figure 1 is 14 and 2 is 32

20.3/3.5*0.58 in a standard form​

Answers

Answer: 3.364

Step-by-step explanation: ?????

I WILL GIVE BRAINLIEST PLEASE

Answers

Answer:

the answers are pi/6 and radius. hence the statement should read as

the length of the arc intercepted by third central angle is pi/6 times the length of the radius.

pleaseee helpp im giving away good points

Answers

Answer:

x = 1°

Step-by-step explanation:

Bisection means splitting the angle in to 2

So that means 4x-1 = 2x+1

4x-1 = 2x +1

4x = 2x + 2

2x = 2

x = 1°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A polygon has an area of 8 square units. If the polygon was enlarged with a
zoom factor of 4, what's the bigger polygon's area? *

Answers

Answer:

This will help you know what to do as an example

Step-by-step explanation:

The scale factor is 1624=23.

PsmallPlarge=2(10)+2(16)=52 units=2(15)+2(24)=78 units

The ratio of the perimeters is 5278=23.

Evaluate the numerical expression 4 x (8 - 2) + = []

Answers

Answer:

24

Step-by-step explanation:

4x(8-2)

=4x6

=24

Review the table showing the percentage of
contaminants remaining in a water sample after
passing through each round of filters.
In the exponential regression equation, what does the
value of b indicate?
Round
% of Contaminants
Left in Water Sample
0
100
6.3% of the contaminants remain in the water
sample after each round of filters.
14.9% of the contaminants remain in the water
sample after each round of filters.
O 6.3% of the remaining contaminants are removed
from the water sample after each round of filters.
14.9% of the remaining contaminants are removed
from the water sample after each round of filters.
1
15
2
2
3
0.3

Answers

Answer: it’s C

6.3% of the remaining contaminants are removed from water samples after each round of filters

Step-by-step explanation:

I got a good feeling

The value of b indicates 14.9% of the contaminants remains in water after each round of filters.

What is exponential regression?

Exponential regression refers to the process of arriving at an equation for the exponential curve that best fits a set of data.

What is the general form of the exponential regression equation?

[tex]y =a b^{x}[/tex] is the general form of the exponential regression equation.

Let the exponential regression equation be [tex]y = ab^{x}[/tex].

Taking natural logarithm both the sides of [tex]y = ab^{x}[/tex]

⇒ [tex]ln y = a + x ln b..(i)[/tex]

For the value of a and b substitute the value of y and x from the given table.

substitute, y = 100 and x = 0 in equation (i)

⇒ [tex]ln100= a + 0[/tex]

⇒ a = 4.6

Substitute, y = 15, x = 1 and a = 4.6 in equation (i)

⇒ [tex]ln15 = 4.6 +( 1)lnb[/tex]

⇒[tex]2.7 - 4.6 = lnb[/tex]

⇒[tex]lnb = -1.9[/tex]

⇒ b = [tex]e^{-1.9}[/tex]

⇒ b = 0.149

b = 14.9%

Hence, the value of b indicates 14.9% of the contaminants remains in water after each round of filters.

Learn more about the exponential regression equation here:

https://brainly.com/question/8448212

#SPJ2

what is the slope of the equation -5x + 8y = 30?

Answers

Answer:

The slope is 5/8

Step-by-step explanation:

-5x+8y = 30

Add 5x to each side

8y = 5x+30

Divide by 8

8y/8 = 5/8x+30/8

y = 5/8x + 15/4

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 5/8

Answer: 5/8

Step-by-step explanation:

You would first need to put the equation into standard form. so you add 5x on both sides

Then you divide 8 on both sides

that would give you y=5/8x+3.75

The slope is 5/8

Enter an equation that represents total cost, C, in dollars of the helium filled balloons for n party guests.

Answers

Answer:

c=n*126

Step-by-step explanation:

126 because if its 3 balloons per guest, then its $6 worth of balloons and $120 worth of helium per guest.

In circle O, PQ is a tangent and PRT is a secant. If angle P is 56 degrees and arc QT is 192 degrees, what is the measure of arc QR(type in numbers only)

Answers

Answer:

80, I got it right so you should get it too

2. Brandon has 4 1/2 cups of oats. He uses 3 1/4 cups to make oats for a camping trip. He saves the rest of the oats to feed to his bird, Coco. If Coco needs ¼ of a cup of oats each day, how many days can Brandon feed Coco with the oats he has left? Answer must be a whole number

Answers

4 1/2 - 3 1/4

.= 9/2 - 13/4

= 18-13/4

= 5/4 cups

= 5/4 cups ÷ 1/4 cups

= 5/4 × 4/1

= 20/4

= 5 days

Days can Brandon feed


What is the value of x in this figure?
Enter your answer in the box.
X
1140
xo

Answers

Answer:

114 degrees

Step-by-step explanation:

Because they are vertically opposite angles

Answer:

Step-by-step explanation:

Both angles are opposite of each other, therefore, x = 114

Please explain this problem fully

Answers

Answer:

S2

1. P is represented by -7

2. 1/2

Step-by-step explanation:

1. The P dot is right on the -7 mark, therefore, the number is -7

---------------------------------------------------------------------------------------------------------------

2. There are 3 shaded out of 6, making it 3/6. Once you reduce 3/6, you would get 1/2

-------------------------------------------------------------------------------------------------------------

Have a good day :)

Solve the right triangle. Round decimal answers to the nearest tenth.

Answers

Step-by-step explanation:

RS = 15/ tan57° = 9.7

RT = 15/sin57° = 17.9

The radius of a circle is increasing. At a certain instant, the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference. What is the radius of the circle at that instant

Answers

Answer: [tex]2\ \text{units}[/tex]

Step-by-step explanation:

Given

Rate of increase in area of the circle is numerically equal to twice the rate of increase to twice the rate of increase in its circumference.

It can be written as

[tex]\Rightarrow \dfrac{d(\pi r^2)}{dt}=2\times \dfrac{(2\pi r)}{dt}\\\\\Rightarrow 2\pi r\dfrac{dr}{dt}=4\pi \dfrac{dr}{dt}\\\\\Rightarrow r=2\ \text{units}[/tex]

Other Questions
2 laundry company one time fee The tiny fruit fly is a superstar of genetics research. Thousands of experiments have explored how flies inherit traits. Wing shape, body color, eye color, and head shape are a few traits under investigation. Fruit flies make good study subjects because they are inexpensive, take little space, and breed quickly. In addition, humans and fruit flies share 75% of their disease genes. By studying fruit-fly genetics, we can learn about human illness.Short-winged fruit flies studied in the lab cannot fly because they have an allele that causes them to grow tiny wings (w). Normal fruit flies, known as wild-types, have fully functional wings (W). The wild-type wing is the dominant allele.If you cross one short-winged fly (ww) with a wild-type fly (WW), what is the probability of getting a short-winged offspring in the F1 generation?Explain your reasoning. stock a has an expected return of 20 and stock b has an expected return of 5. what is the expected return on a portfolio this comprised of 67^ of stock a and 33% stoc k b Each of the following is in business primarily to make money for investors EXCEPT: ways the environment influence traditional architecture? Start by writing and solving anequation (or system ofequations) that represents theproblem below. Be sure to defineany variables you use.Turkey has a population of 66million people and is made upalmost entirely of two ethnicgroups: Turks and Kurds. Thereare four times more Turks thanKurds. Write an equation andsolve it to find out how manyKurds live in Turkey, Identify the areas on the image where the force of repulsion is the last I'll mark the right answer brainliest :) READ THE PASSAGE CAREFULLY AND ANSWER THE QUESTIONSThe Alaska pipeline starts at the frozen edge of the Arctic Ocean. It stretches southward across the largest and northernmost state in the United States, ending at a remote ice-free seaport village nearly 800 miles from where it begins. It is massive in size and extremely complicated to operate. The steel pipe crosses windswept plains and endless miles of delicate tundra that tops the frozen ground. It weaves through crooked canyons, climbs sheer mountains, plunges over rocky crags, makes its way through thick forests, and passes over or under hundreds of rivers and streams. The pipe is 4 feet in diameter, and up to 2 million barrels (or 84 million gallons) of crude oil can be pumped through it daily. Resting on H-shaped steel racks called "bents," long sections of the pipeline follow a zigzag course high above the frozen earth. Other long sections drop out of sight beneath spongy or rocky ground and return to the surface later on. The pattern of the pipeline's up-and-down route is often determined by the harsh demands of the arctic and subarctic climate, the tortuous lay of the land, and the varied compositions of soil, rock, or permafrost (permanently frozen ground). A little more than half of the pipeline is elevated above the ground. The remainder is buried anywhere from 3 to 12 feet, depending largely upon the type of terrain and the properties of the soil. One of the largest in the world, the pipeline cost approximately $8 billion and is by far the biggest and most expensive construction project ever undertaken by private industry. In fact, no single business could raise that much money, so eight major oil companies formed a consortium in order to share the costs. Each company controls oil rights to a particular share of land in the oil fields and paid into the pipeline-construction fund according to the size of its holdings. Today, despite enormous problems of climate, supply shortages, equipment breakdowns, labor disagreements, treacherous terrain, a certain amount of mismanagement, and even theft, the Alaska pipeline has been completed and is operating.Which phrase in the first paragraph mean Supported by? According to the last paragraph, ______________________ determines what percentage of the construction costs each member of the consortium would pay. 288 chocolates are put into three boxes The chocolate are put into a small box a medium box and a large box on the ratio 1:3:8 What hardships did Jeanne and her family fear they would face when they returned to the West Coast? "Draw a pedigree for hitchhikers thumb. Your pedigree should cover at least two generations and include both dominant and recessive forms of the trait. Label the pedigree with genotypes, using the letter H to represent the dominant allele for the trait and the letter h to represent the recessive allele."I'm confused on the part about having two generations. How do I set up the pedigree? Which of the following words would you probably NOT use to describe the scientific process?.control.organized.data.disorganized A circular loop of wire with radius 10.0 cm is located in the xy-plane in a region of uniform magnetic field. A field of 2 T is directed in the z-direction, which is upward. (a) What is the magnetic flux through the loop what is the slope of the line through the points (0,2) and (3,-6) If the pattern shown continues, how many black keys appear on a pipe organ with a total of 120 keys? Suggestion: use equivalent ratios or a rate table to rationalize your answer.HURRYYY I NEED HELP Identify whether each of the following would be reported as an operating, investing, or financing activity on the statement of cash flows: a. Purchase of investments b. Disposal of equipment c. Payment for selling expenses d. Collection of accounts receivable e. Cash sales f. Issuance of bonds payable Which answer best illustrates evolution by natural selection?(2.9 points)A. Ancestors' legs grew longer from climbing to escape predators.OB. Ancestors that had longer legs could not produce more offspring.O c. Ancestors wanted longer legs to escape predators and therefore grew longer legsOD. Ancestors with longer legs escaped predators more easily and lived to produce more offspring. Who were the Dixiecrats? What role did they play in the Civil Right's movement? Greg spent $47.45 on five books. If each book costs the same amount, how much does one book cost?