Answer:1 inch = 0.0833333 feet so 74 x 0.0833333 = 6.16667
Step-by-step explanation:
PREVIOUS ANSWERS MY NOTES Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call center is required to answer 75 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day
Answer:
The expected total amount of time in minutes the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of a normal variable:
For the sum of a sample of n values, the mean is of [tex]M = n\mu[/tex] and the standard deviation is of [tex]s = \sigma\sqrt{n}[/tex]
Average 2.8 minutes
This means that [tex]\mu = 2.8[/tex]
75 calls each day.
This means that [tex]n = 75[/tex]
What is the expected total amount of time in minutes the operator will spend on the calls each day?
[tex]M = n\mu = 75(2.8) = 210[/tex]
The expected total amount of time in minutes the operator will spend on the calls each day is of 210 minutes.
I can't find the surface area lol
n=3.14
Answer:
216 square feet
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
2 (lw + hl + hw)
w= width
h= height
l= length
Use the formula with the given dimensions:
2 (6 • 2 + 12 • 6 + 12 • 2)
= 2 (12 + 72 + 24)
= 2 (108)
= 216
Surface area is measured in square feet
(feet in this case)
Hope this helps
In the Minnesota Northstar Cash Drawing, you pick five different numbers between 1 and 35. What is the probability of picking the winning combination (order does not matter)
Answer:
[tex]\frac{1}{324632}[/tex] probability of picking the winning combination
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Since the order is not important, the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
The correct five numbers from a set of 5. So
[tex]D = C_{5,5} = \frac{5!}{5!0!} = 1[/tex]
Total outcomes:
Five numbers from a set of 35. So
[tex]T = C_{35,5} = \frac{35!}{5!30!} = 324632[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{324632}[/tex]
[tex]\frac{1}{324632}[/tex] probability of picking the winning combination
A grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month. On the other hand, her store sold 791 pounds of broccoli this month, which represents an increase of 25% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.
Answer:
Last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
Step-by-step explanation:
Since a grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month, and on the other hand, her store sold 791 pounds of broccoli this month, which It represents an increase of 25% from last month, to determine how much ice cream and broccoli did the store sell last month, the following calculation must be performed:
Ice cream = 100 - 10 = 90
90 = 521
100 = X
100 x 521/90 = X
52,100 / 90 = X
578.88 = X
Broccoli = 100 + 25 = 125
125 = 791
100 = X
100 x 791/125 = X
79,100 / 125 = X
632.8 = X
Therefore, last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
Solve the following equation for x:
12x+2=26
Answer:
[tex] \large{ \tt{❃ \: STEP-BY-STEP \: EXPLANATION}} : [/tex]
[tex] \large{ \tt{❁ \: ORIGINAL \: PROBLEM : 12x + 2 = 26}}[/tex]
We want to remove the 2 first. Since the original equation is + 2 , we're gonna use the opposite operation and subtract 2 form both sides.[tex] \large{ \tt{↦ \: 12x + 2 - 2 = 26 - 2}}[/tex]
Simplify! 2 - 2 = 0 on the left and 26 - 2 = 24 on the right.[tex] \large{ \tt{↦ \:12x = 24}}[/tex]
Then we need to think about how to remove the coefficient 12 . Since the opposite of multiplication is division , we're going to divide both sides by 12.[tex] \large{ \tt{ ↦ \: \frac{12x}{12} = \frac{24}{12}}} [/tex]
Simplify. 12/ 12 = 1 on the left and 24 / 12 = 2 on the right. So our answer is x = 2 .[tex] \boxed{ \boxed{ \large{ \tt{↦x = 2}}}} \large✓[/tex]
✺ Don't stress yourself for the day you've done nothing instead focus on the remaining change you have left and work on it. ♪
ツ Hope I helped ! ۵
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To prove ABC= ADC, To prove which triangle postulate could you use?
SSS
SAS
ASA
AAS
Answer:
ASA
Step-by-step explanation:
..................
To prove ABC = ADC, We use ASA triangle postulate.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.
From the given diagram a quadrilateral ABCD is given,
Line segment AC divides quadrilateral ABCD into two triangles namely
ABC and ADC, and both have a common side AC.
m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.
Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.
learn more about congruency here :
https://brainly.com/question/7888063
#SPJ7
To make it more easier for everyone, it's on Khan Academy and this problem is in Algebra 1 to be specific. Solve for x.
3x−8≤23 AND −4x+26≥6
Choose 1 answer:
A: x ≤ 31/3
B: x ≤ 5
C: 5 ≤ x ≤ 31/3
D: There are no solutions
E: All values of x are solutions
Answer:
B: x≤5
Step-by-step explanation:
Hi there!
We're given two inequalities; 3x−8≤23 and −4x+26≥6
We need to find the values of x that make BOTH of the inequalities true (which is the intersection of the two inequality graphs)
First, let's solve for x in both of them
taking the first inequality:
3x−8≤23
add 8 to both sides
3x≤31
divide by 3
x≤31/3
now solve for x in −4x+26≥6
subtract 26 from both sides
-4x≥-20
divide both sides by -4 and remember to FLIP the inequality sign since we have a negative number
x≤5
now let's graph these two inequalities to find the intersection, and that is below with the answer
Hope this helps! :)
What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?
9514 1404 393
Answer:
x = 142
Step-by-step explanation:
You want to find x such that ...
[tex]\sqrt{x+2} -15=-3\qquad\text{given}\\\\\sqrt{x+2} =12\qquad\text{add 15}\\\\x+2=144\qquad\text{square both sides}\\\\\boxed{x=142}\qquad\text{subtract 2 to get x by itself}[/tex]
Answer:
a
Step-by-step explanation:
A person travels 620 mi in 10 hours. What is the rate in miles per hour?
Answer:
62 miles per hour
Step-by-step explanation:
620mile/10hrs
62miles/hr
62 miles per hour
A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of -30 degrees. Find the direction and magnitude of the resultant force.
Answer:
The magnitude of the resultant force is:
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]\theta=1.2^{\circ}[/tex]
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
Sum of x-component vector forces.
[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]
[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]
[tex]F_{tot-x}=100.3 \: pound[/tex]
Sum of y-component vector forces.
[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]
[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]
[tex]F_{tot-y}=2.1 \: pound[/tex]
The magnitude of the resultant force is:
[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]
[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]
[tex]\theta=1.2^{\circ}[/tex]
I hope it helps you!
What is the area of the triangle centimeters squared 23 CM 16 CM 14 CM
Answer:
Step-by-step explanation:
82
Answer:
Step-by-step explanation:
.5(half) x 14(base) x 16(height)=112cm
The following frequency distribution shows the yearly tuitions (in $1,000s) of a sample of private colleges.
Yearly Tuition Frequency
12-16 5
17-21 4
22-26 3
27-31 2
For the above data, compute the mean yearly tuition.
Answer:
19.714
Step-by-step explanation:
Given :
Yearly Tuition Frequency
12-16 5
17-21 4
22-26 3
27-31 2
We calculate the midpoint (x) = (lower + upper) / 2
The mean yearly tuition :
The midpoint (x) :
X ___ F ___ Fx
14 __ 5
19 __ 4
24 __ 3
29 __ 2
The mean = Σfx / Σf
Σfx / Σf = (14*5 + 19*4 + 24*3 + 29*2) / (5+4+3+2)
Mean = 276 / 14
Mean yearly tuition = 19.714
Four internet providers offer similar services to almost everyone in the city. Any new company would have to engage in a price war with the existing companies
ILL MARK BRAINLIEST Provide an appropriate response.
Identify the sample space of the probability experiment: answering a true or false question
Answer:
D) 5
Step-by-step explanation:
Answer:
The sample space of answering a true or false question is "sample set = true, false"
Step-by-step explanation:
Sample Space is defined as the set of all possible outcomes in a given probability experiment. For example, the sample space of tossing one coin is head, tail.
Source: study.com/academy/answer/identify-the-sample-space-of-the-probability-experiment-answering-a-true-or-false-question.html
Many service companies collect data via a follow-up survey of their customers. For example, to ascertain customer sentiment, Delta Air Lines sends an e-mail to customers immediately following a flight. Among other questions, Delta asks:
How likely are you to recommend Delta Air Lines to others?
The possible responses are:
1. Definitely will
2. Probably Will
3. May or May Not
4. Probably Will Not
5. Definitely Will Not
Required:
a. Are the data collected by Delta in this example quantitative or categorical?
b. What measurement scale is used?
Answer:
The answer is "Categorical and Ordinal scale"
Step-by-step explanation:
Categorical factors affect data types that can be grouped. This analysis is the examination of data in which the answer variables are grouped in a series of reciprocal classifications, like the age group or even the unordered groups of eye colors.
An ordinal chart is a form of the category with such a specific order or scale. It is the 2nd assessment level that provides the ordering and order of data, without really measure the extent of variability. The first of the four measuring scales is the ordinal scale of listening.
The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two
integers.
Answer:
24 and 9
Step-by-step explanation:
Hi there!
Let x be equal to the larger integer.
Let y be equal to the smaller integer.
1) Construct equations
[tex]x+y=33[/tex] (The sum of two integers is 33)[tex]x=6+2y[/tex] (The larger is 6 more than twice the smaller)2) Solve for one of the integer
Isolate x in the first equation
[tex]x+y=33\\x=33-y[/tex]
Plug the first equation into the second
[tex]33-y=6+2y[/tex]
Combine like terms
[tex]33-6=2y+y\\27=3y\\9=y[/tex]
Therefore, the smaller integer is 9.
3) Solve for the other integer
[tex]x+y=33[/tex]
Plug in y (9)
[tex]x+9=33\\x=33-9\\x=24[/tex]
Therefore, the larger integer is 24.
I hope this helps!
Which one is it !? How do you do it ? It’s timedddd
heres a key for then
SIN= O/H
COS= A/H
TAN= O/A
CSC= H/O
SEC= H/A
COT= A/O
let me know if u have anymore questions
Answer:
3/5 is ur answer
Step-by-step explanation:
ok so its SIN
SIN is o/h (o= opposite and h= hypotenuse)
so we can look at the picture and it says find the SIN of a
ok so the O would be 3 and the H would be 5
so ur answer would be 3/5
what is the solution to the system of linear equations
Answer:
(0, -5)
General Formulas and Concepts:
Algebra I
Reading a coordinate planeCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
According to the systems of equations graph, we see both lines intersect at (0, -5). Where the 2 lines intersect is the solution to the systems.
∴ our answer is (0, -5)
The volume of a spherical balloon is increasing at a constant rate of 3 in3/s. At what rate is the radius of the balloon increasing at the instant its radius is 2 inches?
Answer:
0.0597in/s
Step-by-step explanation:
The volume of the spherical balloon V= 4/3πr³
r is the radius of the balloon
The rate at which the volume is changing dV/dt is expressed as;\
dV/dt = dV/dr*dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
dV/dt = 3 in³/s
Substitute inti the formula
3 = 16πdr/dt
dr/dt = 3/16π
dr/dt = 3/50.24
dr/dt = 0.0597in/s
Hence the balloon is increasing at the rate of 0.0597in/s
Determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!!! Show work please. Part 3c
Answer:
7. Not enough information to determine congruency
8.congreunt by AAS
Step-by-step explanation:
7. We know one side and the vertical angles between the triangles. That is not enough to determine the triangles are congruent
8. We know one angle and one side are congruent. The angle between are vertical angles and they are congruent. We know two angles and one side, so they are congruent by AAS
for his new year's resolution olvin decides to meal prep instead of spending so much money on takeout everyday: a cereal bar for breakfast, a burger for lunch had 200 calories. assuming the burger and chicken sandwich are equal in calories and olvin eats 8,400 calories a week how many calories are in one chicken sandwich
Answer:
She had the whole week off from work, spent a chunk of it vacationing in ... beef burger (assuming 85% lean, which is fairly standard, would mean 60 calories per ... Out to dinner: 1/2 of a large Asian Chicken Salad (from a small deli/restaurant; ~350).
Step-by-step explanation:
She had the whole week off from work, spent a chunk of it vacationing in ... beef burger (assuming 85% lean, which is fairly standard, would mean 60 calories per ... Out to dinner: 1/2 of a large Asian Chicken Salad (from a small deli/restaurant; ~350).
The Fighting Hens' record has improved every year. The 2016 team won 3
more games than the 2015 team, and the 2017 team won 2 more games
than the 2016 team. If the 2017 team won 20 games, how many did the 2015
team win?
Answer:
15
Step-by-step explanation:
just calculate backwards
20 -2 -3
Answer:
The answer would be 15.
Step-by-step explanation:
I agree with the previous answer, in these cases you just calculate backward.
You start out with 20, then it states 2017 team won 2 more games, so you subtract 2. So now we know the 2016 team won 18 games.
Next we subtract 3 to get how many wins the 2015 team got. 18 - 3 is 15.
The answer would be 15.
10 - 5 2/3 = ? i need this for math
[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]
[tex]4 \frac{1}{3} [/tex] ✅Step-by-step explanation:
[tex]10 - 5 \frac{2}{3} \\ = 10 - \frac{17}{3} \\ = \frac{10 \times 3}{1 \times 3} - \frac{17}{3} \\ = \frac{30 - 17}{3} \\ = \frac{13}{3} \\ = 4 \frac{1}{3} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
I need help anyone?
Answer:
0
Step-by-step explanation:
When you substitute x=1 for f(1),
you get f(1)=0
and the absolute value of 0 is 0.
hope I answered it correct.
please give brainliest, thanks!
If a die is rolled one time find these probabilities
-getting a number greater than 2 and an even number
-getting a number less than 1
Answer:
1. 1/3
2. 0
Step-by-step explanation:
A sphere with a volume of 1200 cm³ is dilated by a factor of 3/5.
The volume of the dilated image is ___ cubic centimeters.
Answer:
259.2 cm³
Step-by-step explanation:
The volume of the dilated image is
(3/5)³ × 1200= 27/125 × 1200
= 259.2 cm³
Translate to an algebraic expression.
The difference of five times a number and two
Translate the following sentence into an equation: Four times a number, plus six, is equal to 30
fasst
Answer:
4n+5=30
Step-by-step explanation:
Customers at a restaurant can build their own burrito by choosing one item from each category shown in the table.
Answer:
E
Step-by-step explanation:
Beans: 2 possibilities
Meat: 3 possibilities
Vegetables: 4 posibilities
Toppings: 4 possibilities
Then mulltiply the numbers:
2 x 3 x 4 x 4 which equals 96
=
Evaluating an algebraic expression: Whole nu
Evaluate the expression when b=38 and c=8,
B/2+3c^2
Simplify your answer as much as possible.
9514 1404 393
Answer:
211
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic.
b/2 +3c^2 = 38/2 +3(8^2) = 19 +3·64 = 211
Answer:
211
Step-by-step explanation:
given : b = 38 and c = 8
Evaluate :
= b/2 + 3c²
= 38 / 2 + 3 ( 8 )²
= 19 + 3 × 64
= 19 + 192
= 211