Answer:
1 : 3
Step-by-step explanation:
Given
150 : 450 ( divide both parts by 150 )
= 1 : 3
The ratio 150:450 in the form 1:n will be 1 : 3.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given ratio, 150:450
150/450 = 15/45 = 1/3 = 1:3
Hence "The ratio 150:450 in the form 1:n will be 1 : 3".
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Ella spends $4.25 each day for lunch at school. How much money does she spend on lunches for 5 days?
Answer:
21.25
Step-by-step explanation:
Answer:
21.25
Step-by-step explanation:
4.25x5=21.25
4. New York City has an elevation of 410 feet
above sea level. Omaha, Nebraska is about three
times as high. What is the approximate elevation
of Omaha?
1230 feet is the approximate elevation of Omaha.
Here, we have,
given that,
New York City has an elevation of 410 feet above sea level.
Omaha, Nebraska is about three times as high.
so, we get,
Omaha = New York x 3
Omaha = 410x3
Omaha = 1230 feet
Hence, 1230 feet is the approximate elevation of Omaha.
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A bottle contains 255 coins 1/3 of the coins are £1 coins 110 of the coins are 50p coins the rest of the coins are 20p coins work out the total value of the coins contained in the bottle.
Answer:
£169
Step-by-step explanation:
255/3 = £85
110 x 50 p = 5500 p
255 - 110 = 145 coins which are 20 p
145 x 20 p = 2900 p
5500 p = £55
2900 p = £29
£85 + £55 + £29 = £169
Answer:
I sun 169 ofc
Step-by-step explanation:
How do you convert 313
yards to inches? Use the drop-down menus to explain your answer.
Since there are
inches in 1 yard, 3 1/3 by
.
So, 3 1/3
yards = inches.
Using the conversion factor, 3 1/3 yards is equal to 120 inches
To convert yards to inches, we need to know the conversion factor between these two units. One yard is equal to 36 inches.
Therefore, to convert 3 1/3 yards to inches, we can use the following steps:
Convert the whole number of yards to inches: 3 yards x 36 inches/yard = 108 inches
Convert the remaining fraction of a yard to inches: 1/3 yard x 36 inches/yard = 12 inches
Add the results of steps 1 and 2 to get the total number of inches: 108 inches + 12 inches = 120 inches
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Answer:
Since there are (12) inches in 1 yard (divide) 3 1/3 by (36)
so 3 1/3 yards = (16) inches.
Step-by-step explanation:
when you see ( ) it means it's the Answer
True or False: for a sample with a standard deviation of s = 8, a score of x = 42 corresponds to z = –0.25. the mean for the sample is m = 40.
The given statement "For a sample with a standard deviation of s = 8, a score of x = 42 corresponds to z = -0.25. The mean for the sample is m = 40." is False because the calculated z-score does not match the given value.
To calculate the z-score, we use the formula z = (x - m) / s, where x is the score, m is the mean, and s is the standard deviation. Substituting the given values, we have z = (42 - 40) / 8 = 0.25. However, the given statement states that the z-score is -0.25, which is incorrect. Therefore, the statement is false.
The correct z-score for x = 42 with a mean of m = 40 and standard deviation of s = 8 is 0.25, not -0.25.
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A high school basketball team scored the following points in their past 4 games. 35, 41, 29, 45 The team is going up against a very good team this week and they are expected to get their lowest amount of points so far this season. How will this affect the MEAN of the team's scores? A It will decrease. B It will stay the same. C It will increase. D It will be the same as the median test score.
Answer:
It will decrease
Step-by-step explanation:
A lower number will lower the average of all the numbers.
find the square root of 13²
Part A: In your own words, describe the relationship between the temperature of the city and the number of ice cream cones sold. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Part A: The amount of ice cream increases as the temperature increases. Part B: the slope is 2 and the y-intercept will be 5.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
\(m = \dfrac{y-q}{x-p}\)
Part A: The relationship between the temperature of the city and the number of ice cream cones sold.
From the graph, the dots on the graph increase in the up-right direction.
Thus, The amount of ice cream increases as the temperature increases.
Part B: The line of best fit
First, if we draw a line through the points
we select any 2 points on the line:
( p,q) and (x,y) as (15, 35) and (0, 5).
The slope (m) is:
\(m = \dfrac{y-q}{x-p}\)
\(m = \dfrac{5 - 35}{0-15}\\\\m = 2\)
So, the line of best fit is:
y = mx + c
y = 2(x - 0) + 5
y = 2x + 5
The y-intercept will be when x = 0
y = 2x + 5
y = 0 + 5
y = 5
Thus, the slope is 2 and the y-intercept will be 5.
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What is the square root of 538?
Answer:
23.1948270095
Step-by-step explanation:
In 10 and 11 complete each sentence then use the laws of exponents to write an equivalent expression for the given expression.
The results of the computation using the laws of exponents are 2^12 and 2401/256
What is indices?When we have two numbers, one serving as the base and the other being the index, we could be able apply the laws of indices when we are solving the problem. There are several laws of indices such as; multiplying, dividing, power of 0, brackets, negative and fractional powers.
In order to solve these problems, we need to apply the statements of the laws of indices.
In the first case we have;
2^16 ÷ 2^4
2^16/2^4
Using the subtraction law;
2^16 - 4 = 2^12
Again;
(7/4)^4
By the power law
7^4/4^4 = 2401/256
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A particle is moving along a line with a velocity v(t)=12cos(t)-12 sin(t) m/s. The total distance travelled on the interval [0, π/2] is meters
The total distance traveled by the particle on the interval [0, π/2] is 12 meters.
To find the total distance traveled, we need to consider the absolute value of the velocity function over the given interval. Since distance is always positive, we disregard the direction of motion.
The velocity function v(t) = 12cos(t) - 12sin(t) represents the instantaneous rate of change of the particle's position with respect to time. The cosine and sine functions oscillate between positive and negative values, but we are interested in the magnitude of the velocity, which is the absolute value.
Over the interval [0, π/2], both the cosine and sine functions are positive. Therefore, the absolute value of the velocity function is simply 12.
Multiplying the absolute value of the velocity by the duration of the interval, which is π/2 - 0 = π/2, we obtain the total distance traveled: 12 * (π/2) = 6π meters. Simplifying, 6π ≈ 18.85 meters.
Hence, the total distance traveled by the particle on the interval [0, π/2] is approximately 18.85 meters.
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Complete the equation that relates the
variables R, L, and A.
The resistance, R, of a wire varies directly
with it's length, L, and inversely with it's cross-
sectional area, A. The wire has a length of
500 cm, a cross-sectional area of 0.04 cm?,
and a resistance of 0.25 ohms.
The resistance, R, of a wire varies directly with it's length,L and it's inversely propotional with it's cross sectional area A.
⇒ length,L = 500cm.
cross sectional area A = 0.04cm
resistance, R= 0.25ohms
Formula: \(\frac{RA}{L}\) = K.
\(\frac{(0.25)(0.04)}{500}\) = K
0.01 = 500K.
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creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in_________.
Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.
What is problem-solving?
Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.
Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.
Below are the steps in problem-solving:
Step 1: Define the Problem
Step 2: Identify the Root Cause of the Problem
Step 3: Develop Alternative Solutions
Step 4: Evaluate and Choose Solutions
Step 5: Implement the Chosen Solution
Step 6: Monitor Progress and Follow-up on the Solution.
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A survey about issues affecting Bluff City Park was
given to 60 residents. The results of the survey are
shown below.
Issue
Yes No
Curfew
48 12
Skateboard use
26 34
Children under 14 accompanied by
38 22
a person at least 14 years old
Assume that the results in the table accurately predict
the response ratios for the town's 1.200 residents. How
many of the 1,200 residents would respond No on the
curfew issue?
F. 240
G. 300
H. 600
J. 680
K. 960
What is the answer of -5 / 0?
Answer:
undifined(if it is a fraction)
Step-by-step explanation:
you cannot divide by 0
Answer:
Undefined
Step-by-step explanation:
You cannot divide a number by zero, so its result is undefined
I've been stuck on this for a hour!!!!!!!!
Answer:
x ≤ 17
or the charge in dollars per sweater must be less than or equal to 17.
Explanation:
Figure B is a scaled copy of figure A. what is the scale factor from figure A to figure B? :>
Answer:
Step-by-step explanation:
Answer:
3.
Step-by-step explanation:
Since they are scaled copies, you only need to do one side.
There are 2 units on one side of figure A and 6 on the side of figure B. 6/2 is 3
To double check, we can also do another side. Lets do the bottom. 3 on figure A and 9 on figure B. 9 divided by 3 is 3
what are the two dimensions on the retail positioning matrix?
The Retail Positioning Matrix is a tool used in retail marketing that helps to visualize and evaluate potential positioning strategies. It is composed of two main dimensions: price and quality.
While quality relates to the perceived value of a product or service in terms of its features, advantages, and performance, price is the amount of money consumers are prepared to pay for a good or service.
High price/high quality, high price/poor quality, low price/high quality, and low price/low quality are the four quadrants that the matrix divides price and quality into.
Retailers can choose which positioning approach will work best in a particular market by looking at each of these four quadrants, which each feature a different positioning strategy.
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If g(x) = f (1/3x), which statement is true?
(see image)
The statement "The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g" is true.
Why is the statement true?When we replace x with 1/3x in the function f(x), we are essentially stretching the horizontal axis by a factor of 3. This is equivalent to stretching the graph horizontally by a scale factor of 3.
A graph serves as a visual depiction of data, presenting an opportunity to illustrate connections among diverse variables, juxtapose distinct datasets, or showcase information in a clear and comprehensible manner.
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The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. what is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? use the portion of the standard normal table below to help answer the question.
The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The times of the runners in a marathon are normally distributed, with
Mean of 3 hours and 50 minutes Standard deviation of 30 minutes.Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.
The probability of runner selected with time less than or equal to 3 hours and 20 minutes,
\(P=1-0.84\\P=0.16\)
Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
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Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean μ = 7500 and estimated standard deviation σ = 1750. A test result of x < 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection. (a) What is the probability that, on a single test, x is less than 3500? (b) Suppose a doctor uses the average x(sample mean) for two tests taken about a week apart. What can we say about the probability distribution of x(sample mean)? What is the probability distribution of x(sample mean) < 3500? (c) Repeat part (b) for n = 3 tests taken a week apart. (d) Compare your answers to parts (a), (b), and (c). How did the probabilities change as n increased? The probabilities increased as n increased. If a person had x ( sample mean)< 3500 based on three tests, what conclusion would draw as a doctor or nurse?
The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.
a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.
Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.
(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.
The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.
(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.
The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.
In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.
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Find the rate of change of y with respect to x if dy dx x²y-5+2 ln y = x³
The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.
To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.
First, let's differentiate each term separately using the rules of differentiation.
Differentiating x²y with respect to x gives us 2xy using the product rule.
To differentiate 5, we know that a constant has a derivative of 0.
Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.
Differentiating x³ gives us 3x² using the power rule.
Now, we can rewrite the equation with its derivatives:
2xy - 2/y * dy/dx = 3x²
To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:
2xy = 2/y * dy/dx + 3x²
To isolate dy/dx, we move the term 2/y * dy/dx to the other side:
2xy - 2/y * dy/dx = 3x²
2xy = 2/y * dy/dx + 3x²
2/y * dy/dx = 2xy - 3x²
Now, we can solve for dy/dx by multiplying both sides by y/2:
dy/dx = (2xy - 3x²) * (y/2)
Simplifying further, we have:
dy/dx = xy - (3/2)x²y
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Evaluate the expression when g = 30 and h = 14.
h+9/5
The value of the given expression g = h+9/5 is 127.
What are expressions?Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics can be as straightforward as 2 + 4 or as intricate as -4xy + 8x- 5(x/y). There are terms in every mathematical expression, and each term has a coefficient or numerical factor. The terms are a product of the coefficient and one or more variables factors, and they are separated by plus or minus signs.So, g = h+9/5:
Where g = 30 and h = 14.Insert the values in the expression as follows:
g = h+9/530 = 14 + 9/530 × 5 = 14 + 9150 = 23150 - 23127Therefore, the value of the given expression g = h+9/5 is 127.
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The correct question is given below:
Evaluate the expression when g = 30 and h = 14.
g = h+9/5
The density of glycerin is 20 g/cm3 at 20 0c. find the density of glycerin at 60 0c. the volume coefficient of glycerin is 5.1 x 10-4 0c-1.
The density of glycerin at 60°C is approximately 19.9592 g/cm³.
To find the density of glycerin at 60°C, we can use the volume expansion coefficient and the given density at 20°C.
The formula for volume expansion is:
ΔV = β * V₀ * ΔT
where:
ΔV is the change in volume,
β is the volume expansion coefficient,
V₀ is the initial volume, and
ΔT is the change in temperature.
In this case, we want to find the change in density, so we can rewrite the formula as:
Δρ = -β * ρ₀ * ΔT
where:
Δρ is the change in density,
β is the volume expansion coefficient,
ρ₀ is the initial density, and
ΔT is the change in temperature.
Given:
ρ₀ = 20 g/cm³ (density at 20°C)
β = 5.1 x 10⁻⁴ °C⁻¹ (volume expansion coefficient)
ΔT = 60°C - 20°C = 40°C (change in temperature)
Substituting the values into the formula, we have:
Δρ = - (5.1 x 10⁻⁴ °C⁻¹) * (20 g/cm³) * (40°C)
Calculating the expression:
Δρ = - (5.1 x 10⁻⁴) * (20) * (40) g/cm³
≈ - 0.0408 g/cm³
To find the density at 60°C, we add the change in density to the initial density:
ρ = ρ₀ + Δρ
= 20 g/cm³ + (-0.0408 g/cm³)
≈ 19.9592 g/cm³
Therefore, the density of glycerin at 60°C is approximately 19.9592 g/cm³.
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2m - 2p = -6
p = 2m + 10
Step-by-step explanation:
If you are satisfied with the results then plz make me genius.
What is the solution to the system of equations y 3x 2 5x 2y 15 40 19?.
The solution to the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55).
In the given question, we have to find the solution to the system of equations y = -3x - 2 and 5x + 2y = 15.
The given equations are:
y = -3x - 2...................(1)
5x + 2y = 15...................(2)
Now solving the equation 2 by substituting the value of y from the equation 1.
5x + 2(-3x - 2) = 15
5x - 6x - 4 = 15
-x - 4 = 15
Add 4 on both side, we get
-x = 19
x = -19
Now putting the value of x in equation 1.
y = -3(-19) - 2
y = 57 - 2
y = 55
Hence, the solution to the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55).
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The complete question is:
What is the solution to the system of equations y = -3x - 2 and 5x + 2y = 15?
PLEASE HELP I WILL MARK YOU BRAINLIEST
Toby now has 98 frisbees. He sneaks into his rival Toblerone’s mansion and finds Toblerone’s frisbee collection. Toblerone has 3 times as many Frisbees as Toby. How many frisbees does Toblerone have?**
Answer:
294
Step-by-step explanation:
98*3=294
Answer:
294
Step-by-step explanation:
It is just 3x98
Plz, answer this question plz!
Plz, answer this question plz!
Answer:
24
Step-by-step explanation:
4 x 3 x 2 x 1 = 24
or P(4,4) = 4! = 24
A clothing store charges a 10% tax on each purchase. If a shopper’s total before tax is $63, how much is the tax? Explain how you got your answer
Answer:
To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + the sales tax rate". In other words, if the sales tax rate is 6%, divide the sales taxable receipts by 1.06.
Solve 2(x+3)=-4(x + 1) for x.
Answer:
The answer is x = \(\frac{-5}{3}\).
Step-by-step explanation:
First, we expand the brackets. Therefore:
\(2x+6 = -4x+(-4)\)
\(2x+6 = -4x -4\)
Then, we separate the like terms:
\(2x+4x = -4-6\)
Then we add the like terms up and solve for x:
\(6x = -10\)
Therefore:
\(x = \frac{-10}{6}\)
which, simplified, is:
\(x = \frac{-5}{3}\).