Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
NEED HELP ASAP! brainlist... A rectangular feild has a perimeter of 100 feet. Its length is 20 feet longers than its width. What are the dimensions of the feild?
answers:
15 ft by 35 ft
20ft by 30ft
35ft by 55ft
40ft by 60ft
Answer:
15 ft by 35 ft
Step-by-step explanation:
15 + 15 + 35 +35
=100 ft
Answer:
Perimeter = 2 × (length + width) -------(1)
Let width be w
Given length is 20ft longer than width, L = 20 + w
substitute L and w in (1)
perimeter = 2× ( 20 + w + w)
100 = 2 ×(20 + 2w)
50 = 20 + 2w
30 = 2w
w= 15feet
L = 20 + w = 20 + 15 = 35feet
option 1) 15 ft by 35ft
The area of a circle is pi square centimeters. What is the diameter? Please help!!!!
Answer:
Radius of the circle = 1 centimeter.
Step-by-step explanation:
Expression that represents the area of a circle,
Area = πr²
Here, r = Radius of the circle
Area of the circle given = π square centimeters
πr² = π
r² = 1
r = 1
Therefore, radius of the circle is 1 centimeter.
Many countries, especially those in Europe, have significant gold holdings. But many of these countries also have massive debts. The following data show the total value of gold holdings in billions of U.S. dollars and the debt as a percentage of the gross domestic product for nine countries (WordPress and Trading Economics websites, February 24, 2012).
Country Gold Value Debt
China 63 17.7
France 146 81.7
Germany 203 83.2
Indonesia 33 69.2
Italy 147 119
Netherlands 36 63.7
Russia 50 9.9
Switzerland 62 55
U.S. 487 93.2
Required:
a. Using the entire data set, develop the estimated regression equation that can be used to predict the debt of a country given the total value of its gold holdings.
b. Use residual analysis to determine whether any outliers or influential observations are present.
c. Compare the estimated slope for the new estimated regression equation to the estimated slope obtained in part (c).
Answer:
Regression model = y = 0.123X + 49.077
Influential point = US ; 487 ; 93.2
Slope with influential point present = 0.123
Slope without influential point = 0.342
Step-by-step explanation:
Given the data:
Gold value (X) :
63
146
203
33
147
36
50
62
487
Debt (Y) :
17.7
81.7
83.2
69.2
119
63.7
9.9
55
93.2
Using the online regression calculator :
The model obtained is :
y = 0.123X + 49.077
y = predicted variable ; debt
Slope = 0.123
x = predictor variable ; gold value
Intercept = 49.077
The influential observation :
US ; 487 ; 93.2
Dropping this observation from our data and fitting the model ;
Model without the influential point :
y = 0.342X+ 30.769
Slope with influential point present = 0.123
Slope without influential point = 0.342
x raise to the fourth power three times
Answer:
If you mean multiply by three when you say “three times”, then 3.
If you mean 1 to the third power when you say “three times”, then 1.
Step-by-step explanation:
1 x 1 x 1 x 1=1 is 1 to the fourth power.
If you mean multiply by three when you say “three times”, then 1x3=3.
If you mean 1 to the third power when you say “three times”, then 1x1x1=1.
An angle measures 10° more than the measure of its complementary angle. What is the
measure of each angle?
Answer:
50 and 40
Step-by-step explanation:
Complimentary angles must add up to equal 90 degrees. Therefore, you must find two numbers that add to 90 and have a difference of 10. Try different number values until this is true. One must be 50 and the other 40 degrees.
Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a simple interest rate of 5%. Bond 2: Face value $350, 3 years to maturity at a simple interest rate of r. Given that both bonds yield the same interest at maturity, calculate r. Round your answer to the nearest hundredth of a percent. Do NOT round until you have calculated your final answer.
Answer:
5.95%
Step-by-step explanation:
Bond 1:
I = 250(.05)5
I = $62.50
Bond 2:
62.5 = 350(3)r
62.5 = 1050r
r = 62.5/1050
r = 5.95%
Answer:
5.95%
Step-by-step explanation:
What properties and conventions do I need to understand (and be able to apply) in order to simplify and evaluate algebraic expressions?
Answer:
So there are alot of various properties that could be used to solve different kinds of algebraic expressions. To solve a simple algebraic equation, most of the times u need to know the, addition, subtractions properties as well as division and multiplication division property.
Hope this helps!
What is the exponent for 4.4.4.4=?
Answer:
the answer is four to the the power of four
Step-by-step explanation:
how, well because the main number there is four and the the amount is four so there's your answer
The exponent for 4.4.4.4 = 4^4
What is exponent?An exponent of a number is the number of times the number is multiplied to itself. For example, 10 is multiplied for n times by itself can be expressed as 10^n.For any number x raised to the power n can be expressed as x^n = x.x.x....x (n times) = x^nIn x^n, x is called base and n is called exponent otherwise index or power of x.In short,Exponentation is the shortest method for repeated multiplication.It is given that 4.4.4.4
Here 4 is multiplied repeatedly by the number itself. So we use exponentation.
Base is 4 and exponent is 4
Therefore, the exponent for 4.4.4.4 is 4^4
Learn more about exponent here:
https://brainly.com/question/11975096
#SPJ2
Find the missing number in this function table.
Answer:
25
Step-by-step explanation:
2(13)-1=25
Answer:
25
Step-by-step explanation:
Using the equation given, 2x-1, you can plug in x, which is given in the table, and solve.
13 is given for x so you plug 13 into 2x-1;
2(13)-126-125you can then check your answer to make sure you did it correctly by plugging in another x number (such as 4) and checking to see if you get the same number as the one given.
cow is tied to a tree on grazing land with a 9 -meter rope What is the longest distance around that it can cover ?
How to do y=5x+2 and 3x=-y+ 10
A circus acrobat is shot out of a cannon with an initial upward speed of 50 . The equation for the acrobat's pathway can be modeled by the equation h = - 16t ^ 2 + 50t + 4 .
a.Find the maximum height of the acrobat.
b.How long will it take to reach the ground?
Answer:
Step-by-step explanation:
h = - 16t ^ 2 + 50t + 4
maximum height take the first derivative of h (calculus if you are taking it)
h' = -32t + 50 set this equal to zero
0 = -32t +50
t = 50/32
t = 1.5625 now plug t = 1.5625 into the height equation
h = - 16(1.5625) ^ 2 + 50(1.5623) + 4
h = 43.0625 ft
you can also find the maximum height by graphing the function and locating the peak value (much easier)
how long to reach the ground h = zero
0 = - 16(t) ^ 2 + 50(t) + 4
use the quadratic equation to solve this or graph the function h(t) and find the roots (much easier) and you will find that
t = -0.078 and 3.203 seconds
obviously the negative root makes no sense unless he time travelled so
t = 3.203 seconds
please help, I’ll give brainliest to anyone who gets it’s right:) if you send a link, I’ll report sorry! :(
The figures below show the populations of 25 cities randomly selected from the 200 largest
cities in each of two countries. Based on these samples, about how much larger is the
median population of China's 200 largest cities than the median population of India's 200
largest cities?
Answer:
600 000
Step-by-step explanation:
took the same test nav
Plz help me well mark brainliest if correct!!...
9514 1404 393
Answer:
B) fifth grade boys
Step-by-step explanation:
55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...
fifth-grade boys
40 PTS ! The length of the rectangle is 2 ft more than its width. The area of the rectangle is 80 square feet. Find the width of the rectangle.
Answer:
The length of a rectangle is 2 feet more than it's width. How do you find the dimensions of the rectangle if its area is 63 square feet?
Step-by-step explanation:
x(x+2) = 63
x^2 + 2x = 63
x^2 + 2x - 63 = 0
Quadratic formula with numbers plugged in: (-2 +or- sqrt(4 - 4* 1 * -63))/2 becomes
-2 +or- sqrt(256)/2 so (-2 +or- 16)/2 therefore -18/2 or 14/2. Discard negative result.
x = 7. 63/7=9. Sides are 7ft and 9ft.
Answer:
8 ftStep-by-step explanation:
Given
The length l = w + 2The area lw = 80Substitute l and solve the following for w:
w(w + 2) = 80w² + 2w = 81w² + 2w + 1 = 81(w + 1)² = 9²w + 1 = 9w = 8The width is 8 ft
Can someone help me find the median first quartile second quartile third quartile and the interquartile range
for the questions
4.
5.
6.
7.
A large corporation sent out four groups of people to conduct observational studies on the average wait time at four different restaurants in its restaurant group. The restaurants have approximately the same ratings in terms of quality and popularity.
In their reports to the company board, each of the four groups described different methods used to conduct their studies, as shown in the table. Which group’s method will give the most accurate, unbiased results?
Answer:
It's midwest
Step-by-step explanation:
Midwest's groups will give the most accurate, unbiased results, and the correct option is B.
To solve this question, we analyze each sample, and find which of them will give the most accurate results.
Northeast: Only 3 hours a day, which can either have a very low or very high wait time, not being a correct representation, so there are bias factors.West Coast: One full day, which also can be a day with a lot of demand, leading to high wait time, or a day with low demand leading do low demand time, so there are also bias factors.South: Phone survey is not very accurate, people may not remember, for example.Midwest: Consider lots of periods over the course of the week, thus surveying both periods of low and of high demand, to get a good estimate for the average time, not having bias factors.Thus, the Midwest's groups will give the most accurate, unbiased results, and the correct option is B.
A similar example is given here: https://brainly.com/question/16609573
Write the fraction that represents the amount of candy bar each person would get when sharing three candy bars equally among seven
people.
Answer:
I think the answer is 1 2
5
The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer in simplest form
Answer:
scale factor = [tex]\frac{34}{39}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{34}{39}[/tex]
How many solutions does the equation 6z − 3z − 7 = −2 + 3 have?
Two
None
Infinitely many
One
There could only be one aolition
1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1
9514 1404 393
Answer:
(x, y) = (2, -1)
Step-by-step explanation:
A graphing calculator can find a solution quickly. (see attached)
__
The first equation can give an expression for y:
y = 3x -7
We can substitute this into the second equation:
2x +3(3x -7) = 1
11x -21 = 1 . . . . . . simplify
11x = 22 . . . . . . . add 21
x = 2 . . . . . . . divide by 2
y = 3(2) -7 = -1 . . . . using our equation for y
The solution is (x, y) = (2, -1).
#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters
Answer:
Solution given;
The space occupied by a wooden block is 4cm × 2cm × 2cm=_16__cm 3 Which is equivalent to____16___mililiters
Step-by-step explanation:
we have
1cm³=1millilitre.
Can anyone help? I’ll give Brainly.. thank you
HELP I NEED TO DO THIS NOW NO LINKS THEY WOULD BE REPORTED JUST TELL ME WHAT I NEED TO PUT
pleaseehehhehe bellopppp
Answer:
A is right
Step-by-step explanation:
Look at the two patterns below: Pattern A: Starts from 4 and follows the rule "add 9" Pattern B: Starts from 4 and follows the rule "add 5" Select the statement that is true. (4 points) Group of answer choices The first five terms in Pattern A are 4, 13, 22, 31, 40. The first five terms in Pattern B are 0, 4, 9, 14, 19. The terms in Pattern A are 2 times the corresponding terms in Pattern B. The terms in Pattern B are one fifth the corresponding terms in Pattern A.
Answer:b
Step-by-step explanation:
The terms in Pattern B are one third the corresponding terms in Pattern A.
Gift wrappers tend to have competitions on who can wrap more presents in a day. If Benjamin wrapped 9 less presents than Christopher, who wrapped x presents, choose the expression that shows how many presents Benjamin wrapped.
Answer:
x-9.
the expression that shows how many presents benjamin wrapped would be x-9
where does f(x) and the line y=1 intersect?
Part E: What is the interquartile range for the data in Table 3 (Number of Siblings)?
this is pass due pls help!!!!
I highlighted the table needed to complete this question:
Answer:
14.85
Step-by-step explanation:
Answer:
The correct answer is 2
Step-by-step explanation:
I already did this assignment. Its the upper quartile minus the lower quartile so it literally cannot be 14.85.
Double checking but is this A
Answer:
si
Step-by-step explanation:
si