Answer:
25
Step-by-step explanation:
36÷144%=0.25(1%)
0.25x100=25 (100%)
hope it helps!!
Write 23% as a fraction
Answer:
23/100
Step-by-step explanation:
what is the probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles?
The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.
To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula
z = ( x- μ)/ σ
where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get
z = ( 42,000- 40,000)/ 3,000 = 0.67
Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.
thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.
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The correct question is given below-
A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?
mixed fraction addition and subtraction multiplication and division word problem worksheets grade 7
In grade 7, students will encounter mixed fraction addition, subtraction, multiplication, and division word problems.
How can mixed fractions be added and subtracted?When adding or subtracting mixed fractions, follow these steps:
Convert the mixed fractions into improper fractions.
Find a common denominator for the fractions involved.
Perform the addition or subtraction operation on the numerators, while keeping the common denominator.
Simplify the resulting fraction, if possible, by reducing it to its simplest form or converting it back to a mixed fraction.
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simplify 5/6 (-2y + 3)
A n s w e r:
\(-\frac{5y}{3} +\frac{5}{2}\)
The simplification of the given expression 5/6 (-2y + 3) is -1.7y + 2.5.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
Given the expression,
⇒ 5/6 (-2y + 3)
⇒ 5/6(-2y) + 5/6(3)
⇒ -2 × 5/6 y + 3 × 5/6
⇒ -5/3 y + 5/2
⇒ -1.7y + 2.5
Hence "The simplification of the given expression 5/6 (-2y + 3) is -1.7y + 2.5".
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simple random sampling uses a sample of size n from a population of size n to obtain data that can be used to make inferences about the characteristics of a population. suppose that, from a population of 55 bank accounts, we want to take a random sample of four accounts in order to learn about the population. how many different random samples of four accounts are possible? step 1 recall the counting rules for determining the number of experimental outcomes using combinations and permutations. the counting rule for combinations is used when an experiment involves selecting n objects from a set of n objects. the order of the n objects does not matter. for example, the letter combination abcd would be considered the same outcome as bacd since the same letters are used in each. the counting rule for permutations is similar to the counting rule for combinations, but the order of the n objects from the n objects does matter. for example, the letter combination abcd would be a different outcome from bacd. the same letters are used, but the order is different. the number of outcomes from a permutation is more than the number of outcomes from a combination. here, we are interested in obtaining a random sample of four accounts from a population of 55 accounts. the order of the four bank accounts ---select--- matter so the counting rule for ---select--- should be used.
Using permutation and combination there are 341,055 different random samples of four accounts that can be drawn from a population of 55 bank accounts without replacement.
The number of different random samples of size n that can be drawn from a population of size N without replacement is given by the formula for the combination:
C(N,n) = N! / (n! × (N-n)!)
where N! is the factorial of N, n! is the factorial of n, and (N-n)! is the factorial of (N-n).
In this case, we have a population of size N = 55 bank accounts, and we want to take a random sample of size n = 4 accounts. Using the formula for the combination, we have:
C(55,4) = 55! / (4! × (55-4)!)
C(55,4) = 55! / (4! × 51!)
C(55,4) = (55545352) / (4321)
C(55,4) = 341,055
Therefore, there are 341,055 different random samples of four accounts that can be drawn from a population of 55 bank accounts without replacement.
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The question is -
Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 55 bank accounts, we want to take a random sample of four accounts to learn about the population. How many different random samples of four accounts are possible?
plsssss help this is question 8 I really appreciate the help
Answer:
I think the answer would be C
Step-by-step explanation:
Write the following as an algebraic expression. Then simplify.
The sum of two consecutive odd integers if the first integer is x.
Answer:
2x+2
Step-by-step explanation:
The first odd integer is x
The second odd integer is x+2
The sum
x+ x+2
2x+2
Find a Doctor, is a small startup that helps people find a physician that best meets their needs (location, insurance accepted, etc) During a "slow time for them, they have 9 staff members taking calls from customers. On average, one call arrives every 5 minutes (standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes) Round your answer to 2 decimal places) How long does a customer spend on average waiting on hold before they can start speaking to a representative? Minutes
On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.
To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.
Given:
9 staff members taking calls.
On average, one call arrives every 5 minutes (standard deviation of 5 minutes).
Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).
To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:
"M" stands for Markovian or memoryless arrival and service times.
"c" represents the number of servers.
In our case, we have an M/M/9 queuing model since we have 9 staff members.
The average waiting time for a customer on hold is given by the following formula:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
Where:
c = number of servers (staff members) = 9
μ = average service rate (1 / average service time)
λ = average arrival rate (1 / average interarrival time)
ρ = λ / (c * μ)
First, let's calculate the average arrival rate (λ):
λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute
Next, calculate the average service rate (μ):
μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute
Now, calculate ρ:
ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407
Finally, calculate the waiting time:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))
≈ 1.16 minutes
Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.
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A story of units-teks edition
1. subtract.
0.017-0.008 - 00housandths-8 thousandths =
express the difference in standard form.
2. subtract vertically, showing all work.
a. 84.637-28.56=
b. 7-0.355=_
The respective differences are 1. 09 x 10^(-3); 2. 56.077 ; b. 6.645
This problem involves decimal subtraction. We subtract them by simultaneously writing the whole part and decimal part one under the other.
So, here 0.017 - 0.008 can be written as -
0.017
-0.008
--------------
0.009
Here, in the thousandth position, 7 becomes 17 by carrying 1 from the left number 1 and 17 minus 8 = 9.
SO, we are left with 9 in the thousandth position.
Now, in the hundredth position, 1 was carried to 7 to make it 17, we are left with 0 So, 0-0 = 0 . This follow in all positions.
Hence , 0.017- 0.008 gives us 0.009 .
In the standard form 0.009 can be written as 9 x 10^(-3) as 3 is three times away and to the right of the decimal point and '-' means its in the decimal part.
In the 2. part, we have
84.637
-28.560
-------------
56.077
Here , the decimal parts in both the numbers are not equal. In 84.637 , we have three decimal places and in 28.56 , we have two decimal places. Now, whenever we have this kind of a situation , we make decimal parts equal by adding a 0 . So, 28.56 becomes 28.560
Now, again following the same procedure as above , 7-0=7 , 13-6=7, 5-5=0 and for whole number part, 1-8=6 and 7-2 = 5.
Here 13 and 14 are formed from 3 and 4 by carrying a one and 8 becomes 7 by giving a come to 4.
For b. part, since 7 has no decimal part while 0.355 has three decimal parts. SO, we write 7 as 7.000 to make the no. of decimal parts equal.
So, we get
7.000
-0.355
------------
6.645
Here , 0 becomes 10 by carrying 1 from 0. so, 10-5=5 . Now the second zero becomes 9 as it has given 1 to the next 0. So, 9-5=4. Similarly 9-3=6.
Now, 7 becomes 6 and 6-0=6.
So, we are left with 6.645.
Hence, the differences are1. 09 x 10^(-3); 2. 56.077 ; b. 6.645.
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TRUE/FALSE.If log(55) + log(y) = log(z), then 55 + y = z. True If In(55x) = In (y), then 55x = y.
The statement is false. In the equation log(55) + log(y) = log(z), we can rewrite it using the logarithmic property of addition as log(55y) = log(z). However, we cannot directly conclude that 55y = z.
The reason is that logarithmic functions are not one-to-one functions. This means that different inputs can produce the same output when applying a logarithmic function. In this case, the equation log(55y) = log(z) only tells us that the logarithm of 55y is equal to the logarithm of z, but it does not imply that 55y is equal to z.
To determine the relationship between 55y and z, we would need more information or additional equations. Without further information, we cannot conclude that 55y = z based solely on the given equation.
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what percent of variability in y is explained by x
The events A and B are not mutually exclusive; not mutually exclusive (option b).
Explanation:
1st Part: Two events are mutually exclusive if they cannot occur at the same time. In contrast, events are not mutually exclusive if they can occur simultaneously.
2nd Part:
Event A consists of rolling a sum of 8 or rolling a sum that is an even number with a pair of six-sided dice. There are multiple outcomes that satisfy this event, such as (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Notice that (4, 4) is an outcome that satisfies both conditions, as it represents rolling a sum of 8 and rolling a sum that is an even number. Therefore, Event A allows for the possibility of outcomes that satisfy both conditions simultaneously.
Event B involves drawing a 3 or drawing an even card from a standard deck of 52 playing cards. There are multiple outcomes that satisfy this event as well. For example, drawing the 3 of hearts satisfies the first condition, while drawing any of the even-numbered cards (2, 4, 6, 8, 10, Jack, Queen, King) satisfies the second condition. It is possible to draw a card that satisfies both conditions, such as the 2 of hearts. Therefore, Event B also allows for the possibility of outcomes that satisfy both conditions simultaneously.
Since both Event A and Event B have outcomes that can satisfy both conditions simultaneously, they are not mutually exclusive. Additionally, since they both have outcomes that satisfy their respective conditions individually, they are also not mutually exclusive in that regard. Therefore, the correct answer is option b: not mutually exclusive; not mutually exclusive.
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tis the season for the slope formula
Answer:
65
Step-by-step explanation:because
20. Jeremy likes to ride his bike to his friend Khaleel's
house. If he takes the road, he rides 3.6 miles east
and then 1.5 miles north. There is also a path that
goes through the woods directly from Jeremy's
house to Khaleel's house.
Part A. To the nearest degree, what is the angle
shown between the road and the path?
Part B. To the nearest tenth of a mile, how much
farther is it to go by the road than to go by the
path?
Answer:\(22.62^{\circ},1.2\ \text{miles}\)
Step-by-step explanation:
Given
Jeremy takes road and ride 3.6 miles to the east and then 1.5 miles to the north
If there is a path that goes through the woods directly from Jeremy's house to Khaleel's house with length x(say)
From the figure, we can write the angle between road and the path
\(\Rightarrow \tan \theta=\dfrac{1.5}{3.6}\\\\\Rightarrow \tan \theta=0.4167\\\Rightarrow \theta=22.62^{\circ}\)
(b)Length of the path is
\(\Rightarrow x=\sqrt{3.6^2+1.5^2}\\\Rightarrow x=\sqrt{15.21}\\\Rightarrow x=3.9\ miles\)
Distance covered by the road is \(3.6+1.5=5.1\ miles\)
Difference between the two lengths is
\(\Rightarrow 5.1-3.9=1.2\ \text{miles}\)
Help please
What is the value of y in this system of equations?
-6x+2y=-18
-3x-2y=54
Answer:
-6x+2y=-18 = \(y = -9 + 3x\)
-3x-2y=54 = \(y = -27 - \frac{3x}{2}\)
Step-by-step explanation:
I hope I understood this correctly.
Find the length of a rectangle that has a width of 3.9 cm and an area of 25.311 cm².
Answer:
Length = 6.49 cm
Step-by-step explanation:
The formula for area of a rectangle is
A = lw, where
A is the area in units squared,l is the length,and w is the widthSince we're already given the area and width and want to find the length, we can first rewrite the area formula in terms of l:
A/w = l
Now, we can plug in 25.311 for A and 3.9 for w to solve for l, the length:
25.311 / 3.9 = l
6.49 cm = l
We can check that 6.49 is the correct length by plugging everything into the regular area formula and checking that we get 25.311:
25.311 = 6.49 * 3.9
25.311 = 25.311
Hi, I need help for part c, please!
Answer:
35 mph
Step-by-step explanation:
The answer should be the average speed it takes to drive, so you would find the average of the speed to go to A with the speed to go to B. You already have the two answers for part A and B, so you would add them, then divide them by 2. It would look like this:
\(\frac{30+40}{2} =\frac{70}{2} =35\)
So it would be 35 mph
y + 16 = 74
I tried 58 but it was wrong somehow?
Answer:
58 (you were correct)
Step-by-step explanation:
y + 16 = 74
To solve this you simply subtract by 16 on both sides.
y = 74 - 16
y = 58
You were right before, 58 is definitely 100% the correct answer.
Please help I have a learning disailty and this is due today.PLEASE PLEASE I DONT KNOW THE ANSWER AND SOOOOOOOOOOOO NEED THIS I WILL DO ANYTHING YOU WANT MARK YOU ASK A QUESTION SO YOU GET THE POINTS PLEASE I JUST REALLY NEED HELP.
Start at hexagon A. After you solve the expression find the answer in blue on the edge on the hexagon. The answer will lead you to your next hexagon.
Continue along the maze path until you reach the hexagon with an S in the flower. This is where you will finish.
To answer the questions below, type the letter in each hexagon that you solved along the maze in the order they were answered.
You do not need to include the starting hexagon (of A) or the end hexagon (of S). These are already written in the order below.
Use only capital letters when typing in the hexagon letter
Starting hexagon A
Second hexagon solved ______________________
Third hexagon solved____________________________
Fourth hexagon solved________________________________
A mathematical description of hexagon is given above.
What is a polygon?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
The bounded plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides.
Given is hexagon.
In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.
A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).
Therefore, a mathematical description of hexagon is given above.
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Which of the graphs below would result if you made the leading term of the following function negative?
F(x) = 5x³ + x-8
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer: D
Step-by-step explanation:
If the leading coefficient is negative, then as \(x \to \infty\), \(f(x) \to -\infty\).
Eliminate A and B.If the leading coefficient is negative, then as \(x \to -\infty\), \(f(x) \to \infty\).
Eliminate C.This leaves D as the correct answer.
A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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Completely factor the polynomial. 4x2 20x 25 (2 x - 5) 2 (2 x - 10)(2 x 15) (2 x 6)(2 x 4) (2 x 5) 2
The factor of the polynomial is option (D) (2x+5)^2 is the correct answer.
In this question,
Factorization is the breaking or decomposition of an entity (i.e.,) a number, a matrix, or a polynomial into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.
The polynomial is \(4x^{2} +20x+25\)
The above polynomial can be factored as
⇒ \(4x^{2} +20x+25=0\)
⇒ \((2x)^{2}+2(2x)(5)+5^{2}\)
⇒ \((2x+5)^{2}\)
Hence we can conclude that the factor of the polynomial is option (D)(2x+5)^2 is the correct answer.
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Rectangles HIJK and WXYZ are similar. All of the following proportions can be used to solve for m except _____. m/3=2/5
2/3=m/5
5/m=3/2
2/m=3/5
What is the distance between A and B? Round your answer to the nearest tenth.
Answer:
6.4
Step-by-step explanation:
Just plug in the distance formula.
(4+1)^2+(1-5)^2
(5)^2+(-4)^
25+16
41
(square root 41) and get 6.4
The price of a home is $450,000. The bank requires a 5% down payment. After the down payment, the balance is financed with a 30-year fixed-rate mortgage at 7%. Determine the monthly mortgage payment (excluding escrowed taxes and insurance) to the nearest dollar.
Answer:
Step-by-step explanation:
Given data:
Home price = $450,000
Down payment = 5%.
Mortgage time = 30 years.
Mortgage fixed rate = 7%.
Solution:
Down payments
= 5% x $450,000
= $22,500.
Amount to be financed
= Home price – down payment
= $450,000 – $22,500
= $427,500.
Monthly Mortgage payment
P* r * ( 1 + r ) ^n / [ ( 1 + r ) ^n ]
= $427,500 * 0.0058 * ( 1 + 0.0058 ) ^360 / [(1 + 0.0058 )^360 ]
= $2844.75
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Find the length of side x to the nearest tenth.
309
X
60°
What is happening to this graph?
Reason: The line goes downhill when moving to the right, and when we're between x = -1 and x = 1. You can think of it like a roller coaster.
Please help for section d) 100 points, must show all working and step by step
Answer:
Step-by-step explanation:
(a) and (b) see diagram
(c) you can see from the graph, the purple line hits the parabola twice which is y=6 or k=6
(d) Solving simultaneously can mean to set equal
6x - x² = k >subtract k from both sides
6x - x² - k = 0 >put in standard form
- x² + 6x - k = 0 >divide both sides by a -1
x² - 6x + k = 0
(e) The new equation is the same as the original equation just flipped (see image)
(f) The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal. I chose new)
discriminant formula = b² - 4ac
equation: x² - 6x + 6 = 0 a = 1 b=-6 c = 6
discriminant = b² - 4ac
discriminant= (-6)² - 4(1)(6)
discriminant = 36-24
discriminant = 12
Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.
Caden is at the Book Fair at his school.He has exactly $5 and will purchase a Spiderman book from the book fair for $4. What percentage of his money will Caden spend on the purchase?
A. 9% B. 80% C. 20% D. 0.80%
Answer:
ok
Step-by-step explanation:
how to check 3/4x - 11 = 16
i know the answer ( x = 36) i just need help checking it!!!
Answer/Step-by-step explanation:
Since you know that the answer is x = 36, Then you can substitute it in the equation.
3/4(36) - 11 = 16 → Multiply 3/4 by 36
27 - 11 = 16 → Subtract 11 from 27
16 = 16 → They are equal
Hence as you can see, x = 36.
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