Valley Bank has four tellers. It takes a teller 8 minutes to serve one customer. What is the capacity of the bank in customers per hour? A. 15 B. 10 C. 8 D. 30
Answers
Since there are four tellers, the capacity of the bank in customers per hour = 4 x 7.5 = 30.
What is the capacity of the bank in customers per hour?Valley Bank has four tellers. It takes a teller 8 minutes to serve one customer.
The correct option is D. 30.
We are given that
Valley Bank has four tellers. It takes a teller 8 minutes to serve one customer.
To calculate the capacity of the bank in customers per hour, we need to find how many customers each teller can serve in an hour. To do this, we first need to convert the time taken to serve one customer from minutes to hours.
1 minute = 1/60 hoursSo, time taken to serve one customer
= 8 minutes
= 8/60 hours
= 2/15 hours
One teller can serve one customer in 2/15 hours.In one hour, the number of customers one teller can serve = 1/(2/15) = 15/2 = 7.5 (customers/hour)
Therefore, the capacity of one teller in customers per hour is 7.5.
Now, we need to find the capacity of the bank in customers per hour. Since there are four tellers, the capacity of the bank in customers per hour = 4 x 7.5 = 30.
So, the correct option is D. 30.
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Related Questions
PLEASE HELP ME! find the measure of each numbered angle. pls
Answers
Answer: ∠1 = 37.5°; ∠2 = 37.5°; ∠3 = 133°.
Step-by-step explanation:
∠1 = ∠2 = (180° - 105°) ÷ 2 = 37.5°
∠3 = 180° - 23° - 24° = 133°
625=5^(7x-3) what is x
Answers
\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)
how to solve the following quadratic equations; 2L, m, o, 3a and g
Answers
Answer:
Please see the attached pictures for full solution.
The table shows the total bill for several parties at a restaurant and the amount the party left as a tip. Find the correlation coefficient to the nearest hundredth and describe the association of the data.
BILL ($)
78
34.50
121.75
54
69.70
100.08
12.90
TIP ($)
5
2
12.10
6
6.90
12
1
Answers
Answer:
Step-by-step explanation:
the tip would be about 100 and the bill is 78.
Rewrite the function by completing the square.
Answers
Answer:
f(x) = (x -6)² +14
Step-by-step explanation:
Completing the square involves writing part of the function as a perfect square trinomial.
Perfect square trinomialThe square of a binomial results in a perfect square trinomial:
(x -h)² = x² -2hx +h²
The constant term (h²) in this trinomial is the square of half the coefficient of the linear term: h² = ((-2h)/2)².
Completing the squareOne way to "complete the square" is to add and subtract the constant necessary to make a perfect square trinomial from the variable terms.
Here, we recognize the coefficient of the linear term is -12, so the necessary constant is (-12/2)² = 36. Adding and subtracting this, we have ...
f(x) = x² -12x +36 +50 -36
Rearranging into the desired form, this is ...
f(x) = (x -6)² +14
__
Additional comment
Another way to achieve the same effect is to split the given constant into two parts, one of which is the constant necessary to complete the square.
f(x) = x² -12x +(36 +14)
f(x) = (x² -12x +36) +14
f(x) = (x -6)² +14
Evolution is the changes in organisms over _________
1: a month
2: tens of years
3: thousands of years
4: millions of years
Answers
Answer:
4.
Step-by-step explanation:
Answer:
Evolution is the changes in organisms over ____millions of years_____
1: a month
2: tens of years
3: thousands of years
4: millions of years
a study of 85 adults showed that most owned at least 50 books. what type of data is 50
Answers
The data point "50" represents a quantitative discrete variable in this study. In the given context, the data point "50" represents the number of books owned by individuals in a study of 85 adults.
Based on this information, the type of data represented by "50" is quantitative. Specifically, it is a discrete variable because it represents a countable value that can only take on whole numbers. In this case, "50" represents the minimum number of books owned by most adults in the study. Quantitative data refers to numerical measurements that can be analyzed and manipulated mathematically. It provides a more precise and detailed understanding of the phenomenon under study. By categorizing the number of books owned by individuals, researchers can gather insights into people's reading habits and preferences. Analyzing this data further may reveal trends, pattern, or relationships between book ownership and various factors, such as age, education, or socioeconomic status.
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Can someone help me with this? Please
Answers
Answer:
= 2
Step-by-step explanation:
Answer:
Look into this site called MathPapa It will do almost any problem you want (as long as It is like 10+28 or 7(6)*6(7) something like that but It is a really good calculator check It out! See screen shot
Step-by-step explanation:
Please do tell If I am incorrect :)
The probability mass function of a binomial distribution is given as
Select one:
a. 1x! ℮-λ λx
b. n!x!n-x! px (1-p)n-x
c. px (1-p)n-x
d. ℮-λ λx
Answers
The probability mass function of the binomial distribution is given by:
B. \(\frac{n!}{x!(n-x)!} \times p^{x} \times (1-p)^{n-x}\)
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.Hence, considering the combination formula, the probability mass function of the binomial distribution is given by:
B. \(\frac{n!}{x!(n-x)!} \times p^{x} \times (1-p)^{n-x}\)
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A model rocket is launched with an initial upward velocity of 202 ft/s. The rocket’s height h (in feet) after t seconds is given by the following.h=202t-16t^2Find the value of t for which the rocket’s height is 82 feet. Round your answers to the nearest hundredth
Answers
Solution:
Given:
\(h=202t-16t^2\)\(\begin{gathered} when\text{ the height is 82 feet,} \\ h=82 \\ \\ Hence, \\ h=202t-16t^2 \\ 82=202t-16t^2 \\ Collecting\text{ all terms to one side to make it a quadratic equation;} \\ 16t^2-202t+82=0 \\ Dividing\text{ the equation all through by 2,} \\ 8t^2-101t+41=0 \\ \\ To\text{ solve for t, we use the quadratic formula;} \\ \frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ where; \\ a=8,b=-101,c=41 \\ Hence, \\ t=\frac{-\left(-101\right)\pm\sqrt{\left(-101\right)^2-\left(4\times8\times41\right)}}{2\times8} \\ t=\frac{101\pm\sqrt{10201-1312}}{16} \\ t=\frac{101\pm\sqrt{8889}}{16} \\ t=\frac{101\pm94.28}{16} \\ t_1=\frac{101+94.28}{16}=\frac{195.28}{16}=12.205\approx12.21s \\ t_2=\frac{101-94.28}{16}=\frac{6.72}{16}=0.42s \end{gathered}\)Therefore, to the nearest hundredth, the value of t for which the rocket's height is 82 feet is;
0.42 seconds or 12.21 seconds.
If demand function is defined by q=2/p^2 show that it has constant of elasticity of demand
Answers
The demand function q=2/p^2, where q represents quantity and p represents price, exhibits a constant elasticity of demand.
The elasticity of demand measures the responsiveness of quantity demanded to changes in price. To determine the elasticity of the demand function q=2/p^2, we can calculate the percentage change in quantity demanded divided by the percentage change in price.
Taking the natural logarithm of the demand function, ln(q) = ln(2) - 2ln(p), we can differentiate it with respect to ln(p) to obtain the elasticity expression: elasticity = dln(q)/dln(p) = -2. Since the derivative is constant (-2), the elasticity of the demand function is constant.
This implies that the demand is perfectly elastic, as a 1% change in price will always result in a 2% change in quantity demanded, regardless of the initial price. Therefore, the demand function q=2/p^2 exhibits a constant elasticity of demand.
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ABC is a triangle inscribed in a circle AB=AC=10cm , BC=16cm. The chord AE is at right angle to the chord BC at D.Calculate DE and the radius of the circle
Answers
2 ÷ 48.9 plss need help
Answers
Answer:
0.04
I rounded to one significant figures.
suppose that 60% of people receive their flu shot. if 7 people are selected at random. what is the probability that exactly 3 of them have obtained their flu shot?
Answers
The probability that exactly 3 of the 7 people selected at random have obtained their flu shot is approximately 0.315 or 31.5%.
How to calculate the probability?This problem can be solved using the binomial distribution, which models the probability of getting a certain number of successes (in this case, people who received their flu shot) in a fixed number of trials (in this case, selecting 7 people at random) when each trial has the same probability of success (in this case, 60%).
The probability of getting exactly 3 people who received their flu shot is given by the formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the total number of trials (7), k is the number of successes (3), p is the probability of success (0.6), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
Plugging in the values, we get:
P(X = 3) = (7 choose 3) * (0.6)^3 * (1-0.6)^(7-3)
= 35 * 0.216 * 0.4096
= 0.315
Therefore, the probability that exactly 3 of the 7 people selected at random have obtained their flu shot is approximately 0.315 or 31.5%.
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Say, for example, the correlation is 0.75 between fat content (measured in grams) and cholesterol level (measured in milligrams) for 20 different brands of American cheese slices. If cholesterol level were changed to being measured in grams (where 1 gram = 1000 milligrams), what effect would this have on the correlation?
Answers
If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.
This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.
The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.
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I don't understand the problem. Can you help me solve it please? I also have an IEP.
Answers
Answer:
12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse ( the side opposite the right angle)
a^2 + b^2 = c^2
Substitute the known values
5^2 + b^2 = 13^2
25+b^2 = 169
Subtract 25 from each side
25+b^2-25 =169-25
b^2 = 144
Take the square root of each side
sqrt(b^2) = sqrt(144)
b=12
Answer:
Given:
a = 5c = 13To find:
missing side b
Solution:
Using Pythagorean theorem,
(Hypotenuse² = base² + perpendicular²)
b² = c² - a²
= 13² - 5²
= 169 - 25
= 144
b = √144
= 12
What is the answer to
3-h=8
Answers
Hello!
\(\large\boxed{h = -5}\)
3 - h = 8
Isolate for h by subtracting 3 by both sides:
3 - 3 - h = 8 - 3
- h = 5
Multiply both sides by -1 to make h positive:
-h(-1) = 5(-1)
h = -5
The lap joint is connected together using a 1.25 in. diameter bolt. If the bolt is made from a material having a shear stress-strain diagram that is approximated as shown, determine the permanent shear strain in the shear plane of the bolt when the applied force P=150 kip is removed.
Answers
Therefore, the permanent shear strain in the shear plane of the bolt when the applied force P = 150 kip is removed is approximately 3.51.
To determine the permanent shear strain in the shear plane of the bolt when the applied force P = 150 kip is removed, we need to use the concept of plastic deformation and the stress-strain diagram of the bolt material.
Assuming that the bolt material behaves as a linearly elastic material up to the yield stress and then undergoes plastic deformation beyond the yield stress, we can use the following steps to determine the permanent shear strain:
Determine the shear stress induced in the bolt by the applied force P. The shear stress can be calculated as τ = P/A, where A is the cross-sectional area of the bolt, given by A = π/4 * d^2, where d is the diameter of the bolt. Substituting the given values, we get A = π/4 * (1.25 in.)^2 = 1.227 in^2 and τ = P/A = (150 kip)/(1.227 in^2) = 122.18 ksi.
Determine the yield stress of the bolt material from the stress-strain diagram. From the given stress-strain diagram, we can see that the yield stress is approximately 80 ksi.
Determine the corresponding strain value for the yield stress. From the stress-strain diagram, we can see that the corresponding strain value for the yield stress of 80 ksi is approximately 0.055.
Determine the permanent shear strain. The permanent shear strain is the difference between the total shear strain and the elastic shear strain. The total shear strain can be calculated as γ = τ/G, where G is the shear modulus of the bolt material, which is given by the slope of the linear elastic portion of the stress-strain diagram. From the given stress-strain diagram, we can see that the slope of the linear elastic portion is approximately 12 ksi. Therefore, G = 12 ksi. Substituting the values, we get γ = τ/G = 122.18 ksi / 12 ksi = 10.18. The elastic shear strain is equal to the yield stress divided by the shear modulus, which is approximately 80 ksi / 12 ksi = 6.67. Therefore, the permanent shear strain is γ - ε_elastic = 10.18 - 6.67 = 3.51.
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What is the most important statistic that is obtained through nasometry? a. Threshold percentage b. Maximum percentage c. Mean nasalance score d. Fundamental frequency e. Range
Answers
The most important statistic that is obtained through nasometry is the mean nasalance score. Nasometry is a measure of nasalance, which refers to the amount of sound energy that is transmitted through the nose during speech production.
This measure is obtained by comparing the acoustic energy of the sound produced by the mouth and the sound produced by the nose. The mean nasalance score provides information about the average amount of nasality in a person's speech, which can be useful in diagnosing and treating speech disorders such as cleft palate or velopharyngeal insufficiency. The other terms mentioned, such as fundamental frequency and range, are not directly related to nasometry or nasalance.
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JUST THE EQUATION AND THE ANSWER PLEASE no work
Answers
Answer:
do the work
Step-by-step explanation:
In the diagram below, AB is parallel to CD. What is the value of y?
Answers
Answer:
The answer is option C.
Step-by-step explanation:
Alternate angles are equal y is alternate to 60° so y is 60°
Hope this helps you
Answer:) hope this helps
60
Step-by-step explanation:) hope this helps
C. 60
At Daisy Donuts, 5 of the last 20 donuts sold had sprinkles. What is the experimental probability that the next donut sold will have sprinkles? Write your answer as a fraction or whole number. P(sprinkles) =
Answers
Answer:
1/4
Step-by-step explanation:
5/20 donus had sprinkles
So the probability will be 5/20 = 1/4
12. Troy made 5 out of 7 jumps on his dirt bike. What percentage ofjumps did he make?62%57%85%71%
Answers
Question: Troy made 5 out of 7 jumps on his dirt bike. What percentage of jumps did he make?
Answer:
Note that, the 7 jumps are 100 percent of the jumps. Therefore, we make a rule of three, that is:
that is equivalent to say the following equation:
percentage of jumps = (5x 100%) ÷ 7 = 500% ÷ 7 = 71.42 = 71,3
that is, approximately 71 %
Please Help me, I will mark brainiest. What are the vertex and range of y = |x + 2| − 3?
(−2, −3); −∞ < y < ∞
(−2, −3); −3 ≤ y < ∞
(0, −1); −∞ < y < ∞
(0, −1); −3 ≤ y < ∞
Answers
The vertex and the range of the absolute value function are given as follows:
(−2, −3); −3 ≤ y < ∞.
How to find the vertex and the range of the absolute value function?The absolute value function in the context of this problem is defined according to the following rule:
y = |x + 2| − 3.
For the general equation, with vertex (h,k), the definition is given as follows:
y = |x - h| + k.
Hence, in the context of this problem, the coefficients of the vertex are given as follows:
h = -2, k = -3.
Hence the vertex is:
(-2,-3).
The range of a function is the set containing all the output values assumed by the function. For the absolute value function, it is given by the following interval:
k ≤ y < ∞
Hence, for the function defined in this problem, the interval is given by:
-3. ≤ y < ∞
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Mr. Doyle cuts
1
4
of a piece of construction paper. He uses
1
5
of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answers
Mr. Doyle uses 1/20 of the sheet of paper to make the flower. to calculate this, we multiply the fraction of the paper that Mr. Doyle cuts, which is 1/4, by the fraction of the cut piece that he uses, which is 1/5.
\((1/4) * (1/5) = 1/20\)
Therefore, Mr. Doyle uses 1/20 of the sheet of paper to make the flower.
To explain further, let's break down the problem step by step.
First, Mr. Doyle cuts 1/4 of the entire sheet of construction paper. This means he is left with 3/4 of the original sheet.
Next, out of the cut piece, he uses 1/5 to make a flower. So, if we consider the remaining 3/4 as the whole piece, he uses 1/5 of that cut piece.
To find the fraction of the original sheet used for the flower, we multiply the fractions: (1/4) * (1/5) = 1/20.
Therefore, Mr. Doyle uses 1/20 of the entire sheet of paper to make the flower.
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helppppppppp asa-pppppppppppppppppp-
Answers
Answer:
I got the mean of A is 6 and the mean of b is 3.5
Step-by-step explanation:
If correct i dont mind brainlest
which number is a perfect square
7
25
66
27
Answers
Answer:
The answer is 27 your welcome
Step-by-step explanation:
how to solve this 6x+4y=30
5x-2y=1
Answers
Answer:
(2, 4.5 )
Step-by-step explanation:
Given the 2 equations
6x + 4y = 30 → (1)
5x - 2y = 1 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate y
10x - 4y = 2 → (3)
Add (1) and (3) term by term to eliminate y
16x + 0 = 32
16x = 32 ( divide both sides by 16 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
6(2) + 4y = 30
12 + 4y = 30 ( subtract 12 from both sides )
4y = 18 ( divide both sides by 4 )
y = 4.5
solution is (2, 4.5 )
Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 g(x) 15 3 0 Which statement correctly compares the two functions? A. They have the same x-intercept but different end behavior as x approaches ∞. B. They have the same x- and y-intercepts. C. They have the same y-intercept and the same end behavior as x approaches ∞. D. They have different x- and y-intercepts but the same end behavior as x approaches ∞.
Answers
They have the same x-intercept but different end behavior as
Answer:A.
They have the same x-intercept but different end behavior as x approaches ∞.
Step-by-step explanation:
valencia theater sold 487 tickets for a play. tickets cost $14 per student with valid valencia identification and $25 per non-student. if total receipts were $8391, how many valencia student tickets and non-student tickets were sold?
Answers
354 Valencia student tickets and 133 non-student tickets were sold.
Let's use algebra to solve the problem. Let
x be the number of Valencia student tickets sold
y be the number of non-student tickets sold
We know that
x + y = 487 (the total number of tickets sold is 487)
14x + 25y = 8391 (the total receipts from ticket sales is $8391)
We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y
y = 487 - x
Here we have to use the substitution method, we can then substitute this expression for y into the second equation
14x + 25(487 - x) = 8391
Simplifying and solving for x
14x + 12275 - 25x = 8391
-11x = -3884
x = 354
So, 354 Valencia student tickets were sold. We can use the first equation to find y
x + y = 487
354 + y = 487
y = 133
So, 133 non-student tickets were sold.
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