Answer:
m = 903
Step-by-step explanation:
99+m=1002
Subtract 99 from both sides.
m=1002−99
Subtract 99 from 1002 to get 903.
m=903
Answer:
M=903 pls mark brainliest(little crown)
Step-by-step explanation:
Subtract 99 from both sides.
m=1002−99
Subtract 99 from 1002 to get 903.
m=903
Please help me, I don't really understand this. It's due today, also please show your work. I'm giving 50 points for this problem.
Answer:
1) 20 % decrease
2)21% decrease
3)8% increase
4)39.9% increase
5)23 % increase
6) 43.3 decrease
Step-by-step explanation:
PLS HELP I'LL GIVE YOU BRAINLIEST In a recipe you need 200 g of flour to make 8 cookies. Rosie has 480 g of flour. What is the greatest number of cookies rosie can make?
Answer:
19 cookies
Step-by-step explanation:
200/8 = 25
25 grams of flour in each cookie.
480/25 = 19.2
Rosie can make up to 19 cookies with 480g of flour
Answer:
The greatest number of cookies Rosie can make is 19 cookies.
Step-by-step explanation:
200g = 8 cookies
400g = 16 cookies
475g = 19 cookies
you only have 480 g of flour and 1 cookie uses 25 g of flour.
Your Welcome!
Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben’s apple pies is ____.
3 over 4
4 over 3
3
4
Answer:
i think 3:4 dont take my word for it thoughn
Step-by-step explanation:
Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.
the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.
The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.
We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)
7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³
36 = (4/3)r³
27 = r³
r = 3 Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)
(dr/dt) = 7 / (4π(9))
(dr/dt) = 7 / (36π)
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Consider a population of 1,024 mutual funds that primarily invest in large companies. Hannah has determined that μ, the mean one-year total percentage return achieved by all the funds, is 7.10 and that σ, the standard deviation, is 3.50.
According to the Chebyshev rule, what percentage of these funds are expected to be within ±6 standard deviations of the mean? _____ (Round to 2 decimal places as needed.)
The percentage of these funds are expected to be within ±6 standard deviations of the mean is 97.22% (approx).Hence, the required answer is 97.22.
The Chebyshev’s theorem is used to determine the percentage of observations that lie within a certain number of standard deviations of the mean in a set of data.
According to the Chebyshev rule, what percentage of these funds are expected to be within ±6 standard deviations of the mean can be calculated using the formula:
\($$1 - \frac{1}{k^2}$$\)
Where k is the number of standard deviations. For the question, the mean is 7.10 and standard deviation is 3.50.As per the given data, we can find that, the number of standard deviation from the mean is ±6.
Thus, k = 6.
The percentage of these funds are expected to be within ±6 standard deviations of the mean is:
\($$1 - \frac{1}{k^2} = 1 - \frac{1}{6^2} = 1 - \frac{1}{36} = 0.9722$$\)
Therefore, the percentage of these funds are expected to be within ±6 standard deviations of the mean is 97.22% (approx).
Hence, the required answer is 97.22.
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Given a normal distribution with μ=50 and σ=5, and given you select a sample of n=100, complete parts (a) through (d). a. What is the probability that Xˉ is less than 49 ? P( X<49)= (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that Xˉ is between 49 and 51.5 ? P(49< X<51.5)= (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 50.9 ? P( X >50.9)= (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 35% chance that Xˉ is above what value? X=
a.The probability that Xˉ is less than 49 is 0.0228.b.The probability that X is above 50.9 is 0.0359.c.The probability that X is above 50.9 is 0.0359.d.There is a 35% chance that Xˉ is above 50.01925.
a. What is the probability that Xˉ is less than 49 ?The given μ=50 and σ=5. We have a sample of n=100. The Central Limit Theorem states that the sampling distribution of the sample mean is normal, mean μ and standard deviation σ/sqrt(n).
So the mean of the sampling distribution of the sample mean is 50 and the standard deviation is 5/10=0.5. To find P( X <49) we need to standardize the variable. z=(x-μ)/σz=(49-50)/0.5=-2P( X <49)= P(z < -2)P(z < -2)= 0.0228Therefore, the probability that Xˉ is less than 49 is 0.0228.
b.Using the mean of the sampling distribution of the sample mean 50 and the standard deviation 0.5, let’s calculate the standardized z-scores for 49 and 51.5. z1=(49-50)/0.5=-2 and z2=(51.5-50)/0.5=1P(49< X <51.5)=P(-250.9)= P(z > 1.8)P(z > 1.8)= 0.0359.
c.Therefore, the probability that X is above 50.9 is 0.0359.
d.We want to find the value of Xˉ such that P(Xˉ > x) = 0.35.Using the standard normal distribution table, the z-score that corresponds to 0.35 is 0.385. Therefore,0.385 = (x - μ) / (σ/√n)0.385 = (x - 50) / (0.5/10)We can solve for x.0.385 = 20(x - 50)0.385/20 = x - 50x = 50 + 0.01925x = 50.01925Therefore, there is a 35% chance that Xˉ is above 50.01925.
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area of a rectangle with sides measuring 34.5 and 45.3 feet
Answer:
1,562.85
Step-by-step explanation:
34.5 times 45.3
Answer:
1562.85 ft^2
Step-by-step explanation:
area is L x W
plug in 34.5 and 45.3
34.5 x 45.3 = 1562.85
thus, our final answer is 1562.85
the average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. the number of shoppers is normally distributed. for a random day, what is the probability that there are between 250 and 450 shoppers at the grocery store?
For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.
Probability is a measure of the likelihood that an event will occur.
Many events cannot be predicted with absolute certainty. We can only predict the probability that an event will occur, i.e. how likely it is to occur, using it.The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.
Let, X be the random variable denoting the number of shoppers on a random day.
Then, X follows normal with mean 505 and standard deviation of 115.
Then, we can say that,
Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.
We have to find
P (250 <X< 450)
= P {(250-505)/155} < Z < {(450-505)/155}
= P (-1.64 <Z< -0.03)
Where, Z is the standard normal variate.
ρ = -1.64 <ρ< -0.03
Where, ρ is the distribution function of the standard normal variate.
From the standard normal table, this becomes
=0.00585
For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.
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solve the 3 × 3 system shown below. enter the values of x, y, and z. x 2y – z = –3 (1) 2x – y z = 5 (2) x – y z = 4
The solution to the given system of equations is x = 2, y = -1, and z = 1.
What are the values of x, y, and z that solve the given system of equations?To solve the system of equations, we can use methods such as substitution or elimination. Here, we will use the method of elimination to find the values of x, y, and z.
First, let's eliminate the variable x by multiplying equation (1) by 2 and equation (3) by -1. This gives us:
2x + 4y - 2z = -6 (4)
-x + y - z = -4 (5)
Next, we can subtract equation (5) from equation (4) to eliminate the variable x:
5y - z = 2 (6)
Now, we have a system of two equations with two variables. Let's eliminate the variable z by multiplying equation (2) by 2 and equation (6) by 1. This gives us:
4x - 2y + 2z = 10 (7)
5y - z = 2 (8)
Adding equation (7) and equation (8), we can eliminate the variable z:
4x + 5y = 12 (9)
From equation (6), we can express z in terms of y:
z = 5y - 2 (10)
Now, we have a system of two equations with two variables again. Let's substitute equation (10) into equation (1):
x + 2y - (5y - 2) = -3
x - 3y + 2 = -3
x - 3y = -5 (11)
From equations (9) and (11), we can solve for x and y:
4x + 5y = 12 (9)
x - 3y = -5 (11)
By solving this system of equations, we find x = 2 and y = -1. Substituting these values into equation (10), we can solve for z:
z = 5(-1) - 2
z = -5 - 2
z = -7
Therefore, the solution to the given system of equations is x = 2, y = -1, and z = -7.
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Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 3.0, b= 4.0, ZC = 54° LA = LB = C = 0 0
Using the given information, the solution for triangle ABC is as follows: Side lengths: a = 3.0, b = 4.0. Angle measures: ∠A ≈ 36.9°, ∠B ≈ 54°, ∠C = 90°
To solve triangle ABC, we have the following information:
Side lengths: a = 3.0, b = 4.0
Angle measures: ∠C = 54°
Other angle measures: ∠A = ∠B = ∠C = 90°
Finding ∠A and ∠B:
Since ∠C = 90°, the remaining angles ∠A and ∠B must sum up to 90°. Therefore, ∠A + ∠B = 90° - 54° = 36°.
Using the Law of Sines:
Applying the Law of Sines, we can find the remaining angles:
sin ∠A / a = sin ∠C / c
sin ∠A / 3.0 = sin 54° / c
c ≈ 3.8
sin ∠B / b = sin ∠C / c
sin ∠B / 4.0 = sin 54° / 3.8
∠B ≈ 54°
Hence, we have:
∠A ≈ 36.9°
∠B ≈ 54°
∠C = 90°
By substituting these values, we have found the solution for triangle ABC.
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A person starts in Boulder, drives to Denver (50 km away) in 1 hour, stays in Denver 1 hour, then speeds back to Boulder in 30 minutes. What is the average speed of the round trip\
The person may have driven at different speeds during different parts of the trip (such as 50 km/hour on the way to Denver and 100 km/hour on the way back), the average speed over the entire trip is 40 km/hour.
The average speed for a round trip is calculated by dividing the total distance travelled by the total time taken.
In this case, the person travelled 50 km from Boulder to Denver and another 50 km back from Denver to Boulder, for a total of 100 km. The time taken for the round trip was 1 hour to drive from Boulder to Denver, 1 hour spent in Denver, and 0.5 hours to drive back from Denver to Boulder, for a total of 2.5 hours.
Using these values, we can calculate the average speed for the round trip as 40 km/hour. This means that on average, the person travelled at a speed of 40 kilometers per hour during the entire round trip. Although the person may have driven at different speeds during different parts of the trip (such as 50 km/hour on the way to Denver and 100 km/hour on the way back), the average speed over the entire trip is 40 km/hour.
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How do you factorise fully x³-x
Answer:
=x³-x
=x(x²-1)
=x(x²-1²)
=x(x+1)(x-1)
hope it helps.
Find the missing number so that the equation has no solutions.
X - 18
= 2x – 13
Answer:
X=-5
Step-by-step explanation:
Answer:
Step-by-step explanation: x-5 i think
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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mmon Core Algebra I - MA3109 B-IC
Activity
Vertical Stretches and Shrinks of Exponential Functions
Assignment Active
Identifying a Function
Which is a stretch of an exponential decay function?
◎m=²[
Of(x) = -(5)
Of(x) = 5(²)
O fix) = 5(5)*
The stretch of an exponential decay function is y = 2(1/5)ˣ
Which is a stretch of an exponential decay function?From the question, we have the following parameters that can be used in our computation:
The list of exponential functions
An exponential function is represented as
y = abˣ
Where
a = initial valueb = growth/decay factorIn this case, the exponential function is a decay function
This means that
The value of b is less than 1
An example of this is, from the list of option is
y = 2(1/5)ˣ
Hence, the exponential decay function is y = 2(1/5)ˣ
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Complete question
Which is a stretch of an exponential decay function?
Of(x) = -(5)ˣ
Of(x) = 5(2)ˣ
O fix) = 2(1/5)ˣ
PLEASE HELP SOLVE X AND Y
GIVING 100 POINTS
The value of x in the line is 0.5 units and the value of y is 1.7 units.
How to solve variables in a line segment?The length of the lines are indicated on the diagram. The line below is bisected into two equal halves.
Therefore, let's find the value of x in the line segments.
5x + 8 = 21x
5x - 21x = -8
-16x = -8
divide both sides of the equation by -16
x = -8 / -16
x = 1 / 2
Therefore, let's find the value of y in the line segments.
20y - 2 = 17y + 3
20y - 17y = 3 + 2
3y = 5
divide both sides of the equation by 3
y = 5 / 3
y = 5 / 3 = 1.66666666667 = 1.7
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it takes an older pump times as long to drain a certain pool as it does a newer pump. working together, it takes the two pumps hours to drain the pool. how long will it take the older pump to drain the pool working alone?
Number of hours that would take older pump to drain the pool working alone is 3 hours
Let's say the time it takes the newer pump to drain the pool alone is "x" hours.
Then, the time it takes the older pump to drain the pool alone is "2x" hours, since it takes the older pump times as long as the newer pump.
Working together, they can drain the pool in 1 hour, so their combined rate is 1 pool/hour. Using the formula for work rate
Rate of newer pump + Rate of older pump = Combined rate of both pumps
1/x + 1/2x = 1/1
Multiplying both sides by 2x, we get
2 + 1 = 2x
3 = 2x
x = 3/2
So the newer pump can drain the pool alone in 3/2 hours, or 1 hour and 30 minutes.
To find out how long it takes the older pump to drain the pool alone, we use the value we got for x
2x = 2(3/2) = 3 hours
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Suppose the domain of f is ( -1, 1).
Define the fucnction g by g(x)=f(\(\frac{x+1}{x-1}\)).
What is the domain of g?
If the domain of f is ( -1, 1), then the function g defined by g(x) = f((x + 1)/(x - 1)) has a domain of; (-2, 0)
What is the domain of the function?The domain of a function refers to the set of all possible intput values that make the function possible.
Now, we are given the function;
g(x) = f((x + 1)/(x - 1))
The domain would be a set of real numbers excluding 1 because at x = 1, the function is undefined.
Since the domain of f(x) is -1 < x < 1 ,
Then the domain of f(x + 1) is -1 < x + 1 < 1 .
domain of -1 < x + 1 < 1 will simplify to -2 < x < 0
Thus, we can say that the domain of f(x + 1) is (-2, 0).
Thus;
g(x) = f(x + 1) and as such, the domain of g(x) is (-2, 0) .
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Mathhhhhhhhhhhhhhhhhhhh
Which statement applies?
Answer:
it is the first one because you would be deciding by 2
Alexa has a cylindrical recycling can with a diameter of 20 cm and a height of
30 cm. What is the approximate volume of the can?
Answer:
I think its 600 bc u multiply 20 by 30 cms to get the volume.
Step-by-step explanation:
A restaurant menu shows the price for 2 chicken wings is $2.30 and the price for 6 chicken wings is $6.90. The function below gives the price, y, for x wing
y - 2.30 = 1.15(x - 2)
If this function is graphed in the coordinate plane, what is the y-intercept?
Answer:
y - intercept = 0 [(0,0)]
Step-by-step explanation:
Given the equation y - 2.30 = 1.15(x-2), the y-intercept is when x is 0.
So to find your answer, just substitute in 0 for x, and solve for y:
y - 2.30 = 1.15(x - 2) →
x = 0
y - 2.30 = 1.15(0 - 2) →
y - 2.30 = 1.15(-2)
y - 2.30 = -2.30 →
+2.30 +2.30
y = 0
What is the recursive formula of the geometric sequence?
1∕2, 3∕4, 9∕8, 27∕16, ...
Step-by-step explanation:
a=1/2, r=9/8÷3/4
=3/2
Tn=ar^n
Answer:
\(x_{0} = \frac{1}{2}\)
\(x_{n} = x_{n-1} *(\frac{3}{2} )\)
Step-by-step explanation:
(25 POINTS) Match the two triangles that are congruent to each other. Please also explain :) thanks
Answer:
Triangle ABC and Triangle JLK
Step-by-step explanation:
For Triangle ABC the 8 and 10 are both on the same if you turn Triangle JLK over clock wise it will be the same and plus both insides are 20 degrees. While the other Triangles have their 8 and 10 on other sides.
Simplify the ratio 9:36
Answer:
1:4
Step-by-step explanation:
Thats it
Answer:1/4
Step-by-step explanation:
An electronics manufacturer recorded the
battery life of some different models of mobile
phones
They have displayed some of their results in
the incomplete histogram and frequency table
below.
Use this information to work out the missing
value that completes the frequency table.
Frequency density
0.
115
20 25
Battery life (hours)
30 35
Battery life, x (hours)
15 ≤ x<20
20≤x≤22
22 ≤x≤28
28≤x≤30
Frequency
130
28
300
a recipe that serves 4 calls for 1 3/4 cups of tomato sauce. if jerry makes 2 1/2 time that amount, how many cups of tomato sauce will he need?
Answer:
4 3/8 cups
Step-by-step explanation:
Answer:
4 and 3/8 cups
Step-by-step explanation:
1 and 3/4 times 2 and 1/2
1 and 3/4 as a mixed number is 7/4 (4 x 1 = 4 + 3 = 7) (keep denominator)
2 and 1/2 as a mixed number is 5/2 (2 x 2 = 4 + 1 = 5) (keep denominator)
7/4 x 5/2 = 35/8
8 will go into 35 4 times. When you subtract 35-32, you have 3 left over and keep the denominator of 8. So, the answer is 4 and 3/8.
What are the conditional proportions of people that were using their phones in the afternoon and the evening
The conditional proportions of people using their phones in the afternoon and the evening can be summarized as follows: A significant proportion of individuals use their phones both in the afternoon and evening, indicating a consistent pattern of phone usage throughout the day.
In the afternoon, many people rely on their phones for various purposes such as work, communication, entertainment, and staying connected to social media. With the advancements in technology and increased accessibility to smartphones, it has become common for individuals to utilize their phones during this time. Whether it's checking emails, browsing the internet, or engaging in social media activities, the afternoon serves as a convenient time for phone usage.
Moving on to the evening, phone usage remains prevalent as individuals unwind and engage in leisure activities. During this time, people often use their phones for entertainment purposes, such as streaming videos, playing games, or engaging in social interactions through messaging apps or social media platforms. The evening also offers a time for catching up on news, reading, or engaging in personal hobbies, which may involve the use of mobile devices.
Overall, the conditional proportions reveal that phone usage is not limited to a specific time of day but rather extends throughout the afternoon and evening. This emphasizes the significant role that smartphones play in our daily lives, providing us with a range of functionalities and opportunities for connectivity and entertainment.
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Alessandra is conducting a hypothesis test and states that there will be a change for the general population and that the independent variable will have an effect on the dependent variable. This is an example of a. Independent-measures t-test b.Null hypothesis c. Alternative hypothesis d. Repeated-measures t-test
Alessandra's statement corresponds to the alternative hypothesis (c) in a hypothesis test, suggesting a change or effect of the independent variable on the dependent variable.
The statement made by Alessandra regarding a hypothesis test suggests the use of an alternative hypothesis (c). In hypothesis testing, the alternative hypothesis represents the claim or belief that there will be a change or effect on the dependent variable due to the independent variable. It opposes the null hypothesis, which assumes no change or effect. In this case, Alessandra is proposing that there will be a difference or relationship between the independent and dependent variables.
To further elaborate, a hypothesis test is a statistical method used to make inferences about a population based on sample data. It involves formulating a null hypothesis (b), which assumes no significant difference or relationship between variables, and an alternative hypothesis (c), which asserts that there is a significant difference or relationship. The independent-measures t-test and repeated-measures t-test (d) are specific types of statistical tests used to compare means or differences between groups, but they are not directly related to the hypothesis statement provided by Alessandra.
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Turn this ratio into its simplest form 56:120:72
Answer:
Hey!
your answer is
7:15:9
Step-by-step explanation:
you can divide all of your original numbers by 8.
to double check, times the answer by 8
hope this helps
pls put brainliest
Hi, I really need help on this!! Any help i can get is well appreciated :)
Answer:
(0,-5/3) ( this is the best i could probably do sorry gurl)