Answer:
85
Step-by-step explanation:
Answer:
The answer is 85.
Step-by-step explanation:
Order of Operations
Since there are no parentheses the exponents go first.
\(4*6+6*3^{2} +7\\4*6+6*(3*3)+7\\4*6+6*9+7\\\)
Now multiplication and division are on the same level, but since there is no division we'll do multiplication from left to right.
\(4*6+6*9+7\\24+6*9+7\\24+54+7\\\)
Now, all there's left to do is add.
\(24+54+7=85\)
Can I know the answer for the above questions
Answer:
Step-by-step explanation:
What is the average velocity of a car that travels 50 km in 2 hrs?
Step-by-step explanation:
the average velocity of a car that travels 50 km in 2 hrs = 50/2 = 25 km/hrs
Susan scheduled 84 appointments for patients at a hospital outreach clinic. Only 56 patients kept their appointment. What fraction of the scheduled appointments were kept?
Use the table you created to play the "Two Spinner
Game" below.
For this game, we say the spinners "match" if they
land on the same color (e.g., both red, or both blue).
How do you win? Once again, that's your choice:
(1) If the spinners MATCH, you win.
(2) If the spinners DO NOT MATCH, you win.
Which game would you be more likely to win?
Therefore, you would be more likely to win the game by choosing option (2) - winning if the spinners do not match.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many areas of mathematics, science, engineering, finance, and other fields to model and analyze uncertain situations. It helps to make predictions, to assess risks and opportunities, and to make informed decisions based on available information. Probability theory provides a foundation for statistical inference, which is used to draw conclusions from data and to test hypotheses about the underlying population.
Here,
In the "Two Spinner Game", there are two possible outcomes for each spin - a match or a non-match. The probability of the spinners matching is the probability of both spinners landing on the same color. Let's say that there are 3 red sections, 3 blue sections, and 2 green sections on each spinner.
The probability of the first spinner landing on red is 3/8, and the probability of the second spinner landing on red is also 3/8. Therefore, the probability of both spinners landing on red (a match) is (3/8) x (3/8) = 9/64.
Similarly, the probability of both spinners landing on blue (another match) is (3/8) x (3/8) = 9/64, and the probability of both spinners landing on green (a match) is (2/8) x (2/8) = 4/64.
The probability of the spinners not matching is the probability of them landing on different colors. There are 3 different pairs of colors that are not a match: red-blue, red-green, and blue-green. The probability of each of these pairs is (3/8) x (3/8) = 9/64.
So, there are 6 possible outcomes, and the probability of winning by a match is 9/64 + 9/64 + 4/64 = 22/64, or about 34.4%. The probability of winning by a non-match is 3 x 9/64 = 27/64, or about 42.2%.
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if n=11 what is p pls help me
p=49 1/2 that's the answer i got you lil guy
The side lengths of a right triangle are 24, 45 and 51. Determine which is the length of hypotnuse.....
19. a television set is on sale for 15% off the original price. if the sale is $340, what was the original price of the televisions set?
Using the percentage method, we know that the original price of the TV set was $400.
What is the percentage?Percentages are just fractions with a denominator of 100.
To show that a number is a percentage, we place the percent sign (%) next to it.
For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).
So, we know that the percentage is always out of 100.
Then we automatically know that:
100% - 15% = 85%
We know:
85% = $340
15% = ?
Now, calculate the reduced price as follows:
85/340 = 15/x
85x = 15(340)
85x = 5,100
x = 5100/85
x = $60
Original price of the TV set:
Sold cost + Reduced cost
$340 + $60
$400
Therefore, using the percentage method, we know that the original price of the TV set was $400.
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triangle A’ B’ C’ is the image of triangle ABC
pls help i am so stuck!
The horizontal change from triangle ABC to triangle ABC include the following: A. right 5 units.
The vertical change from triangle ABC to triangle ABC include the following: C. down 2 units.
The translation rule in the standard format is: (x, y) → (x + 5, y - 2).
What is a translation?In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.
By translating the pre-image of triangle ABC horizontally right by 5 units and vertically down 2 units, the coordinate A of triangle ABC include the following:
(x, y) → (x + 5, y - 2)
A (3, 5) → (3 + 2, 5 - 2) = A' (5, 3).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
how many samples of size n=2 can be drawn from this population
The samples of size n = 2 that can be drawn from this population is 28
How many samples of size n=2 can be drawn from this populationFrom the question, we have the following parameters that can be used in our computation:
Population, N = 8
Sample, n = 2
The samples of size n = 2 that can be drawn from this population is calculated as
Sample = N!/(n! * (N - n)!)
substitute the known values in the above equation, so, we have the following representation
Sample = 8!/(2! * 6!)
Evaluate
Sample = 28
Hence, the number of samples is 28
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Complete question
A finite population consists of 8 elements.
10,10,10,10,10,12,18,40
How many samples of size n = 2 can be drawn this population?
how to calucalte rate question
To calculate a rate, divide the change in the quantity by the corresponding change in the unit of time.
Calculating a rate involves determining the amount of change in a quantity per unit of time. It is commonly expressed as a ratio or a fraction. The formula for calculating a rate is:
Rate = Change in Quantity / Change in Time
Determine the quantity involved: Identify the specific quantity that you want to measure, such as distance, speed, flow, or growth.
Determine the corresponding unit of time: Identify the unit of time over which the quantity is changing, such as seconds, hours, days, or years.
Measure the initial and final values: Take measurements or obtain data for the initial and final values of the quantity of interest.
Calculate the change in quantity: Subtract the initial value from the final value to find the change in the quantity.
Calculate the change in time: Subtract the initial time from the final time to find the change in the unit of time.
Divide the change in quantity by the change in time: Divide the change in the quantity by the corresponding change in the unit of time.
Simplify or round the rate if necessary: Depending on the context and desired level of precision, simplify or round the rate to an appropriate number of decimal places or significant figures.
By following these steps and applying the formula, you can calculate a rate accurately.
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Discharge in a rectangular channel is Q=30 m3/s, the longitudinal channel bottom slope is Ie=1/400. fricition coefficiem is n=0.02, and channel bottom width is B=5 m. a) Calculate critical flow depth (y,) at which the given discharge is passed at minimum specific energy level. b) Determine critical longitudinal channel bottom slope (t.) to pass the given discharge at critical depth and decide on the flow regime by comparing Ie to Iw c) Determine uniform flow depth (yn) and the coressponding flow regime ( N5, the Froude number).
In a rectangular channel with a given discharge, longitudinal slope, friction coefficient, and channel width, we need to determine the critical flow depth, critical slope, and uniform flow depth. These calculations will help us understand the flow regime and hydraulic characteristics of the channel.
a) To calculate the critical flow depth (yc) at which the given discharge is passed at the minimum specific energy level, we can use the specific energy equation. By equating the specific energy equation to its critical value, we can solve for yc.
b) To determine the critical longitudinal channel bottom slope (Io) to pass the given discharge at critical depth, we can use Manning's equation. By rearranging the equation and solving for Io, we can find the critical slope. Comparing Io to the longitudinal slope (Ie), we can determine the flow regime.
c) To determine the uniform flow depth (yn) and the corresponding flow regime, we can use Manning's equation again. By substituting the given values into the equation and solving for yn, we can find the depth of uniform flow. The flow regime can be determined by calculating the Froude number (Fr).
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draw a line representing the rise and a line representing the run of the line. state the slope of the line in simplest form.
The slope of the line in simplest form is 1/1, or 1.
The line has a rise of 3 units and a run of 4 units. The slope of the line can be represented by the formula "rise/run" and can be calculated as follows: slope = 3/4. The slope of the line in simplest form is 3/4.
To calculate the slope of the line, we need to divide the rise by the run. In this case, the rise is 3 units and the run is 4 units. To calculate the slope, we divide 3 by 4. This gives us a slope of 3/4.
The slope of the line can also be written in simplest form. Simplest form means that we simplify the fraction as much as possible. We can do this by dividing both the numerator and the denominator by the same number until they cannot be divided any further. In this case, the numerator and the denominator are both divisible by 3. We can divide 3 by 3 to get 1, and divide 4 by 3 to get 1. Therefore, the slope of the line in simplest form is 1/1, or 1.
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5√13^9 please help me and thank you
Answer:
3/19
Step-by-step explanation:
find the area under the standard normal curve over the interval specified below to the right of z=3
The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.
For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.
The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.
Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.
The cumulative probability for z = 3 is approximately 0.9987.
For the area to the right of z = 3, we subtract the cumulative probability from 1.
Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.
In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.
This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.
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in a paper manufacturing company, a machine is used to press wet fiber web into a continuous roll of paper. this machine does not create a constant pressure on wet fiber web and final sheets of papers have different thickness which is uniformly distributed between 0.004 and 0.015 inch. let x denote the thickness of the sheet of paper. determine the following: a. mean and variance for thickness of each paper sheet. b. proportion of paper sheets which are less than 0.0095 inch thick. c. thickness exceeded by 40 percent of the paper sheets.
The mean thickness of each paper sheet is 0.0095 inch with a variance of 0.00003225. Approximately 45.45% of the sheets are less than 0.0095 inch thick, and 40% have a thickness greater than 0.0123 inch.
Mean and variance for thickness of each paper sheet
Since the thickness of each paper sheet is uniformly distributed between 0.004 and 0.015 inch, the mean thickness is the average of the minimum and maximum values
Mean = (0.004 + 0.015) / 2 = 0.0095 inch
The variance of a uniform distribution is given by
Variance = (b - a)^2 / 12
where a and b are the minimum and maximum values of the distribution, respectively. Substituting the values, we get
Variance = (0.015 - 0.004)^2 / 12 = 0.00003225
Therefore, the mean thickness of each paper sheet is 0.0095 inch, and the variance is 0.00003225.
Proportion of paper sheets which are less than 0.0095 inch thick
Since the thickness of each paper sheet is uniformly distributed between 0.004 and 0.015 inch, we can find the proportion of sheets that are less than 0.0095 inch by finding the area under the density function of the uniform distribution between 0.004 and 0.0095.
The density function of a uniform distribution is given by
f(x) = 1 / (b - a)
where a and b are the minimum and maximum values of the distribution, respectively. Substituting the values, we get
f(x) = 1 / (0.015 - 0.004) = 1/0.011
The area under the density function between 0.004 and 0.0095 gives the proportion of paper sheets that are less than 0.0095 inch thick:
Proportion = ∫(0.004 to 0.0095) f(x) dx = [x / (b - a)](0.0095 - 0.004) = 0.4545
Therefore, approximately 45.45% of the paper sheets are less than 0.0095 inch thick.
Thickness exceeded by 40 percent of the paper sheets
To find the thickness exceeded by 40% of the paper sheets, we need to find the value of x for which 40% of the area under the density function lies to the right of x.
Since the density function is uniform, the area to the right of x is given by
Area = (b - x) / (b - a)
We want to find the value of x for which this area is equal to 0.4. Substituting the values, we get
0.4 = (0.015 - x) / (0.015 - 0.004)
Solving for x, we get
x = 0.0123
Therefore, 40% of the paper sheets have a thickness greater than 0.0123 inch.
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You conduct an experiment of dice rolling and roll an even number 24 out of 60 rolls. Write both the experimental and theoretical probability as a fraction and a percent.
Answer:
see below
Step-by-step explanation:
The experimental probability is what you actually rolled
24/60 = 2/5 = 40%
The theoretical probability is what we expect to happen
=number of even numbers / total number of numbers
3/6 = 1/2 = 50%
You and your best friend have $10,000 each, which you would like to keep in a savings account. 5/3rd bank offers 4.23% continuous interest and bank of america will give 4.4% interest compounded quarterly. what would be the difference between the two investments after 35yrs? (round to the nearest dollar (whole number))
The difference between the two investments after 35yrs is $4700 and Bank of America is offering higher interest than 5/3rd banks.
Explain compound interest and continuous interest.Most interest is compounded semiannually, quarterly, or monthly. Continuous compounding assumes that interest is compounded indefinitely and reentered on the balance sheet. The continuous compounding formula takes into account four variables.
For the given question,
5/3rd bank offers continuous interest:
For continuous interest, A = P\(e^{rt}\)
where,
P = the initial amount
A = the final amount
r = the rate of interest
t = time
e is a mathematical constant where e ≈ 2.7183.
A = 10000 × \(2.71^{0.042*35}\)
A = 10000 × 4.04
A = $40400 approximately
Interest = Amount - Principle
Interest = 40400 - 10,000
Interest = $30400
Bank of America offers compound interest:
For compound interest:
\(A = P(1 + \frac{r}{n})^{nt}\)
A = 10000 × 4.51
A = $45100
Interest = Amount - Principle
Interest = 45100 - 10,000
Interest = $35100
The above calculation explains Bank of America is offering higher interest than 5/3rd bank by $35100 - $30400 = $4700
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If ƒ(x)=x²-5x−1: Find the following: f(-2)
x-2
a. 3.25
b. -13/4
c. 13/4
d. 3
The value of function f(x) at point x = -2 is f(-2) = -13/4.
What is value of function?
The objective function's value at a solution is given by the value function of an optimization problem, which only depends on the problem's parameters.
Function value can mean: The result of applying a function to an argument in mathematics.
Consider, the given function
\(f(x) = \frac{x^2-5x-1}{x-2}\)
We have to find value of function f(x) at point x = -2.
Plug x = -2 in the above equation, we get
\(f(-2) = \frac{(-2)^2 - 5(-2)-1}{-2-2} \\f(-2) = \frac{4 + 10 - 1}{-4}\\f(-2) = \frac{13}{-4} \\f(-2) = -\frac{13}{4}\)
Hence, the value of function f(x) at point x = -2 is f(-2) = -13/4.
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0.058
−
0.225
+
6.4
0.08
Answer:
0.345
Step-by-step explanation:
impretty sure thats right. but if im wrong im really sorry <333
Write a real-word problem that can be represented by the inequality s<20. Represent the solution on the number line
Answer:
An elevator can hold up to about 2000 pounds of weight.The combined weight of everyone currently in the elevator is 1980 pounds. Write an inequality showing the possible amount of weight that can be added to the elevator. S can be your variable hope this helps.
There are 61 pages in Chen's book he reads 24 pages how many pages does Chen have left to read
Answer:
ans 37
Step-by-step explanation:
substract 61 - 24
find the length of the spiraling polar curve r = 8 e^6 θ from θ = 0 to θ = 2 π .
The length of the spiraling polar curve from θ = 0 to θ = 2π is:
8/3 √ (1 + ln²⁸) [e^(12π) - 1]
To find the length of the spiraling polar curve, we will use the arc length formula.
L = ∫baf(θ)√ (r² + [f'(θ)]²).dθ
where a and b are the initial and final values of θ, and f(θ) is the polar equation.
The polar curve given is:
r = 8e^(6θ).
The length of the spiraling polar curve can be calculated as follows:
L = ∫02πf(θ) √ (r² + [f'(θ)]²).dθ.
Let us now find f(θ) and f'(θ). Since:
r = 8e^(6θ),
we know that:
r = f(θ) and f'(θ) = 8e^(6θ)*ln8.
f(θ) = r = 8e^(6θ).
f'(θ) = 8e^(6θ)*ln8.
Therefore, substituting these values, we obtain:
L = ∫02π 8e^(6θ)√(64e^(12θ) + 64e^(12θ)ln²⁸)dθ
L= 8∫02πe^(6θ)√(1 + ln²⁸)dθ
L= 8 √ (1 + ln²⁸) ∫02πe^(6θ)dθ
L= 8 √ (1 + ln²⁸) [e^(6θ)/6] 02π
L= 8/3 √ (1 + ln²⁸) [e^(12π) - 1].
Therefore, the length of the spiraling polar curve from θ = 0 to θ = 2π is 8/3 √ (1 + ln²⁸) [e^(12π) - 1].
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I need three examples on how math is used in psychology.
Answer: 1) Error response times
2) Memory Scanning, visual search
3) Stimulus identification
Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response
2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring
3) A decisive role in our perception and cognition
In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.
for freshman year Nick had 3.5 for a gpa. what gpa does Nick needs for sophomore, junior, senior year to get the average of at least 4.0?
Answer:4.0
Step-by-step explanation:
please help i’ll give brainliest if you give a correct answer
Answer:
a
Step-by-step explanation:
The results of a survey asking 500 people about their favorite ice cream flavor are shown in the table.
Flavor Number of People
Chocolate 165
Vanilla 135
Strawberry 70
Mint Chip 100
Banana 30
Assuming that there is no real preference between these 5 flavors, for which of these flavors does the experimental probability differ the most from the theoretical probability?
Answer:
Between Chocolate and Banana
Step-by-step explanation:
Theoretically, I think the experimental probability differs the most between chocolate ice cream flavor and banana ice cream flavor because out of the people surveyed, most people love chocolate and the least love banana.
William bought a 0. 5 liter bottle of liquid plant food he uses 40 milliliters a week what measurements are given
One bottle of liquid plant food is enough for at least 12 weeks, and potentially a bit more.
William uses 40 milliliters of liquid plant food per week, so to find out how much plant food he needs for 12 weeks, we can simply multiply the weekly usage by the number of weeks:
Amount of plant food needed for 12 weeks = 40 milliliters/week x 12 weeks = 480 milliliters
So, William needs 480 milliliters of liquid plant food for 12 weeks.
Since the bottle of liquid plant food, William purchased contains 0.5 liters or 500 milliliters of liquid plant food, we can see that one bottle is enough for 12 weeks since 480 milliliters is less than the total amount of liquid plant food in the bottle.
In fact, we can calculate how many weeks one bottle of liquid plant food will last William by dividing the total amount of liquid plant food in the bottle by the amount used per week:
Time to use up the liquid plant food = (Total amount of liquid plant food) / (Amount used per week) = 500 ml / 40 ml/week ≈ 12.5 weeks
So, we can say that one bottle of liquid plant food is enough for at least 12 weeks, and potentially a bit more.
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The correct question should be:
William bought a 0.5 -liter bottle of liquid plant food. He uses 40 milliliters each week? How much plant food does William need for 12 weeks? Is one bottle enough for 12 weeks?
Simplify the expression:1n (e^5/12)Round your answer to two decimal points.
Given:
\(\ln (\frac{e^5}{12})\)\(\ln (\frac{a}{b})=\ln (a)-\ln (b)\)Then:
\(\ln (\frac{e^5}{12})=\ln e^5-\ln 12\)\(\ln a^b=b\ln a\)\(\begin{gathered} \ln (\frac{e^5}{12})=\ln e^5-\ln 12 \\ =5\ln e-\ln 12 \\ =5(1)-2.4849 \\ =5-2.4849 \\ =2.515 \\ =2.52 \end{gathered}\)You buy 1 shirt and 2 pair of pants for $31 Your friend buys 3 shirts and 1 pair of pants for $38
Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.
What is System of Linear EquationA system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.
A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.
In this problem, we need to define our variables and the solve the equations.
Let;
x = cost of shirty = cost of pantx + 2y = 31 ...eq(i)
3x + y = 38 ...eq(ii)
Solving both equations
x = 9, y = 11
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Oblicz -12+4*(-11) -(-5)
-------------
4
Odpowiedź:
-51
Wyjaśnienie krok po kroku:
Oblicz -12 + 4 * (- 11) - (- 5)
Biorąc pod uwagę wyrażenie
-12 + 4 * (- 11) - (- 5)
Korzystanie z PEDMAS
nawias pierwszy
-12 + 4 * (- 11) +5
Ich mnożenie
-12-44 + 5
Podsumowując
-56 + 5
= -51