Answer:
60%
Step-by-step explanation:
New amount - Original amount/ original amount * 100
11.2 pounds - 7 pounds = 4.2
4.2/7 = 0.6
0.6*100 = 60.
GEOMETRY HELP PLEASE
An outside angle is equal to the sun of the two opposite inside angles.
The given inside angle is 75, the angle next to it is also 75 ( because there is a single line through the red arc, this means the angles are identical).
W = 75 + 75
W = 150 degrees.
please answer the question in the image
The outside of a closed glass display case measures 22" x 15" x 12". The glass is half inch thick. How much air is contained in the case
The volume of the air in the container is: 3,585.125 in³
What is the Volume of the Box?The volume of a box or cuboid is given by the formula:
V = L * W * H
Where:
L is length
W is width
H is height
We are given the external dimensions as:
Length = 22 inches
Width = 15 inches
Height = 12 inches
Since the glass is 1/2 inch thick, then the interior dimensions are:
New length = 22 - 1/2 = 21.5 inches
New Width = 15 - 1/2 = 14.5 inches
New height = 12 - 1/2 = 11.5 inches
Thus:
Volume of air in container = 21.5 * 14.5 * 11.5
= 3,585.125 in³
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Find the midpoint of the segment with the given endpoints (-2, 10) and ( - 10,- 12).The midpoint of the segment is(Simplify your answer. Type an ordered pair.)
Given:
The given endpoints are ( -2,10) and (-10, -12).
Required:
We need to find the midpoint of te given endpoints.
Explanation:
Consider the formua to find the midpoint.
\(midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Consider the points ( -2,10) and (-10, -12).
\(Substitute\text{ }x_1=-2,x_2=-10,y_1=10,\text{ and }y_2=-12\text{ in the formula,}\)\(midpoint=(\frac{-2+(-10)}{2},\frac{10+(-12)}{2})\)\(midpoint=(\frac{-2-10}{2},\frac{10-12}{2})\)\(midpoint=(\frac{-12}{2},\frac{-2}{2})\)\(midpoint=(-6,-1)\)Final answer:
\(midpoint=(-6,-1)\)willow brook national bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. on weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute. assume the poisson probability distribution can be used to describe the arrival process. determine the following operating characteristics for the system, assuming poisson arrivals and exponential service times. (round your answers to four decimal places where necessary. report time in minutes.)
The expected number of customers in the system is 0.96.
Given that the arrivals to the drive-up teller window occur at a rate of 0.4 customers per minute, and the service times are exponentially distributed, we can use queuing theory to determine the operating characteristics of the system.
What is the expected number of customers waiting in line?
We can use the queuing formula Lq = (λ^2) / (μ(μ-λ)), where λ is the arrival rate and μ is the service rate. Here, λ = 0.4 and μ is the reciprocal of the average service time, which we need to calculate.
Assuming the bank tellers can serve customers in an average of 2 minutes, then μ = 1/2 = 0.5.
Plugging these values into the formula, we get:
Lq = (0.4^2) / (0.5(0.5-0.4)) = 0.16 customers
Therefore, the expected number of customers waiting in line is 0.16.
What is the expected time a customer spends in the system?
We can use the queuing formula W = (1/μ) + (Lq/λ), where μ is the service rate and λ is the arrival rate, and Lq is the expected number of customers waiting in line.
Using the same values of λ and μ as before, we can calculate Lq as 0.16 customers. Plugging these values into the formula, we get:
W = (1/0.5) + (0.16/0.4) = 2.4 minutes
Therefore, the expected time a customer spends in the system is 2.4 minutes.
What is the expected number of customers in the system (i.e., both waiting and being served)?
We can use the queuing formula L = λW, where λ is the arrival rate and W is the expected time a customer spends in the system.
Plugging in the values of λ and W that we calculated earlier, we get:
L = 0.4 x 2.4 = 0.96 customers
Therefore, the expected number of customers in the system is 0.96.
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What is the range of f/x )= sin x the set of all real numbers?
On solving the provided question we can say that - The Range of the given function, f(x) = sin(x) , Range = \(-1 < y < 1\)
What is Range?Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.
The Range of the given function, f(x) = sin(x)
\(-1 < y < 1\)
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Arlene buys a phone case and charging cord for 15% off. The original price of the charging cord, x. enter the correct answers in the boxes. remember to multiply by the discounted percentage as a decimal. the discount is applied to the sum of the cord and the phone case.
Arlene buys a phone case and charging cord for 15% off
Discount on case and cord = 15%
Original cost of case = $18
Total discount amount = $4.20
Let the original cost of charging cord = x
So, Arlene buys a phone case and charging cord for 15% off = 15% of cost of cord and case
15% of cord and case = 15% of (x + 18)
as the discount amonut ins $18
15% of cord and case = 15% of (x + 18)
15% of cord and case = 4.20
15% of (x + 18) = 4.20
\(\begin{gathered} \text{ 15\% of (x +18) = 4.20} \\ \text{ }\frac{15\times(x+18)}{100}=4.20 \\ 15(x+18)=4.20\times100 \\ 15(x+18)=420 \end{gathered}\)So, the expression is : 15(x + 18) = 420
Simplify the expression for x :
15(x + 18) = 420
15x + 270 = 420
15x = 420 - 270
15x = 150
x = 150/15
x = 10
So, the cost of charging cord is $10
Answer : equation : 15(x + 18) = 420
$10
In a lightning storm, a large negative charge accumulates in the lower regions of low–lying clouds. Which term best describes this charge?
A. electric current
B. nuclear force
C. electric force
D. static electricity
Answer:
Step-by-step explanation:
This is static electricity.
(8 - 5) ² + ( 6 - 24 = 4)
Answer:
-9=4
Step-by-step explanation:
I went on Math-way and that’s what it gave me, I hope this helps
2 / 7 - x = 5/4 what is the value of 'x'
Answer:
27/28
Step-by-step explanation:
2/7 - x =5/4
-2/7 -2/7
x=27/28
Please help me!! I never learned money and this would really help me.
Answer: $.61
Step-by-step explanation: there is 1 quarter ( the biggest one) with a value of .25. The second largest one is a nickel, which has a value of .05 each, the smallest silver one is a dime, which has a value of .1 each. The smallest one is a penny worth .01 each. .25 + 3(.05) + 2(.1) + .01 = .61
Which function can be used to determine the nth term of the sequence?
Answer:
Option (C)
Step-by-step explanation:
Recursive formula of sequence is,
\(a_1=-7\)
\(a_n=a_{n-1}-5\)
Therefore, sequence will be in the form of,
-7, -12, -17,......
Therefore, common difference of the given arithmetic sequence,
d = \(a_n-a_{n-1}\)
= -5
Explicit formula for an arithmetic sequence is,
f(n) = a + (n - 1)d
where a = first term of the sequence
n = nth term
d = common difference in each successive term
By substituting the values from the sequence,
f(n) = -7 + (n - 1)(-5)
= - 7 - 5(n - 1)
= -7 - 5n + 5
f(n) = -5n - 2
Option (C) will be the correct option.
One letter is chosen at random from the word THANKS. A letter is then chosen at random from the word STARK
1. Write out ALL of the outcomes in the sample space of this chance experiment.
. 2. How many outcomes are in the sample space?
3. What is the probability that the letters chosen are AA?
1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.
The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.
Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word
Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.
Probability of choosing AA = Number of favorable outcomes / Total number of outcomes
Probability of choosing AA = 0 / 30 = 0.
Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
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Addison is going to invest in an account paying an interest rate of 3.1% compounded continuously. How much would Addison need to invest, to the nearest dollar, for the value of the account to reach $910 in 18 years?
Answer: $521
Step-by-step explanation:
For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller? 5 and 10
Answer:
Part A: 100%
Part B: 50%
Step-by-step explanation:
The difference between 10 and 5 is 5
5 is 100% of 5, so 10 is 100% greater than 5 (part A)
5/5 = 1 = 100%5 is 50% of 10, so 5 is 50% less than 10 (part B)
5/10 = 1/2 = 50%Part A is 100%, and Part B is 50%
-Chetan K
Answer:
10 is 100% greater than 5
5 is 50% less than 10
Step-by-step explanation:
big brain
Here is an inequality: -2x>10.
List some values for x that would make this inequality true.
How are the solutions to the inequality -2x10 different from the solutions to -2x>10? Explain your reasoning.
Answer:
The difference is -2x10 is basically-2 times x times 10.
Step-by-step explanation:
Cuz i said so
The x values that makes the given inequality true are -10, -9, -8, -7 and -6.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is -2x>10.
Divide -2 on both the sides of an inequality, we get
x<-5
So, the solution is {.......-10, -9, -8, -7, -6}
Hence, the x values that makes the given inequality true are -10, -9, -8, -7 and -6.
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bur an
Question 4: Answer the following questions
1)
What percent is 40 of 50?
(2) 4.2)
What percent is 50 of 40?
Answer:
1, 20
2, 20
Step-by-step explanation:
Answer:
your correct answers are
1, 20
2, 20
Step-by-step explanation:
A cube is dilated by a factor of 3.5.
How many times larger is the volume of the resulting cube than the volume of the original cube?
Enter your answer as a decimal in the box.
Answer:
6
Step-by-step explanation:
2 multiples by 2 times 2. there is your answer big man please like it
Allison's math teacher asked her to write an irrational and rational number. She wrote the following numbers √46 Rational and 5.25 Irrational. Explain if you agree with Allison's identification of rational and irrational numbers.
If you disagree, provide an example of an irrational and rational number.
For which value of x are lines g and h parallel?
Please answer as many as you can
1. Best Buy was having a 20% off sale on all flat-screen TVs. What would the sale price of a $350.50 TV be?
2. Solve -3( x - 3) = 12
3. Factor 45t - 15
4. Simplify ( 3.5m + 2) - ( 4.3m - 8)
5. If the length of a rectangle is 6x - 2 and the width is 5x + 1, simplify an expression that will represent the perimeter.
I understand if you can't do all 5, but it would be greatly appreciated if you did.
Answer:
2. is x = -3
Step-by-step explanation:
-3( x - 3) = 12
multiply the things in the () by -3
-3x+9=12
subtract 9 from both sides
-3x+9-9=12-9
-3x=3
divide both sides of the equation by -3
x = -3
Answer:
1. 280.40
350.50*.20=70.10
350.50-70.10=280.40
2.x=−1
-3*3=--9+-3x
-3x/3= -1 x= -1
3.=15(3t−1)
Because 45t/15= 3 then 15/15=1
4. =−0.8m+10
Let's simplify step-by-step.
3.5m+2−(4.3m−8)
Distribute the Negative Sign:
=3.5m+2+−1(4.3m−8)
=3.5m+2+−1(4.3m)+(−1)(−8)
=3.5m+2+−4.3m+8
Combine Like Terms:
=3.5m+2+−4.3m+8
=(3.5m+−4.3m)+(2+8)
=−0.8m+10
Answer:
=−0.8m+10
5. Perimeter is adding all side sooo.22x -2
6x -2 + 6x-2= 12x - 4
5x +1 +5x+1= 10x+2
12x -4 +10 + 2= 22x -2
Step-by-step explanation:
Hope this helps you.^_^
Simplify: (x + 7)(x-4)
A. 2r +3
B. 12-28
C. x2-3x - 28
D. x2 + 3x - 28
Answer:
(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28
If I choose four cards from a standard -card deck, with replacement, what is the probability that I will end up with one card from each suit
The probability that I will end up with one card from each suit is 3/32 when I choose four cards from a standard-card deck, with replacement. This can be obtained by finding probability of each draw.
What is the required probability?The probability of drawing first card is one, that is the card can be of any suite.The probability of drawing second card is,
⇒ 52 cards - 13 cards (1 suite) = 39 cards (remaining 3 suites)
On the second draw, we have a (39/52) = (3/4) probability of drawing a different suite from the first draw
The probability of drawing third card is,⇒ 52 cards - 26 cards (2 suite) = 26 cards (remaining 2 suites)
On the third draw we have a (26/52) = (1/2) probability of drawing a suite different from the first two draws
The probability of drawing fourth card is,⇒ 52 cards - 39 cards (3 suite) = 13 cards (remaining 1 suites)
On the last draw we have a (13/52) = (1/4) probability of drawing a different suite from the ones we drew on the first three draws
So the probability = (1) (3/4) (1/2) (1/4) = 3/32
Hence the probability that I will end up with one card from each suit is 3/32 when I choose four cards from a standard-card deck, with replacement.
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how many pairs of parallel sides does a pentagon have
A pentagon can have at most two pairs of parallel sides, but in the case of a regular pentagon, there are no pairs of parallel sides.
A pentagon is a polygon with five sides. To determine the number of pairs of parallel sides a pentagon can have, we need to analyze its properties.
By definition, a polygon with five sides can have at most two pairs of parallel sides. This is because parallel sides are found in parallelograms and trapezoids, and a pentagon is neither.
A parallelogram has two pairs of parallel sides, while a trapezoid has one pair. Since a pentagon does not meet the criteria to be either of these shapes, it cannot have more than two pairs of parallel sides.
In a regular pentagon, where all sides and angles are equal, there are no pairs of parallel sides. Each side intersects with the adjacent sides, forming a continuous, non-parallel arrangement.
Therefore, the maximum number of pairs of parallel sides a pentagon can have is two, but in specific cases, such as a regular pentagon, it can have none.
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Consider the compound inequality x greater than 4 or x less than a. If a=4 what would the solution be?
Answer:
x=4.1 or any number higher
Step-by-step explanation:
The sign doesn't indicate that the number can be equal or greater to, which only means it can be bigger
Write the following number in standard decimal form. eleven and seventy-eight hundredths
Answer: 11.78
Step-by-step explanation: So 11 would be your number before the decimal ( and stands for the decimal point ) then 78 would go after the decimal point.
Hope this helped!!!
How many 3/4s are in 2 ?
1 .Write a multiplication equation and a division equation that can be used to answer the question.
2.Draw a tape diagram and answer the question. Use the grid to help you draw, if needed.
Answer:
3/4 into decimal = 0.75
0.75 X 100 = 75
2 X 100 = 200
200/75 = 2.66666666
Which math operation determines the following recursive sequence!
1,4,4, 16, 64, ...?
4
multiplication
addition
division
subtraction
Answer:
Multiplication
Step-by-step explanation:
Answer:
Multiplication
Step-by-step explanation:
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4x^2-3x+4 What is the value of the expression below when x = 5?
NEED ANSWER PLEASE!
Answer:
89
Step-by-step explanation:
To find the value of the
Quadratic expressionwhen x = 5 we substitute x = 5 into the expression.
4x^2 - 3x + 4
putting x = 5
4(5)^2 - 3(5) + 4
4(25) - 15 + 4
100 - 11 = 89
What is antiderivative of sin?
The antiderivative of sin is -cos(x) + C.
The antiderivative of a function is the inverse operation of differentiation which is is also known as its indefinite integral.
So, the integral of sin
∫sin(x) = -cos(x) + C
where C = constant of integration.
This can be verified by differentiating -cos(x) + C with respect to x, which gives sin(x).
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