Answer:
Therefore, when the stadium is full, a total of 740 people can sit in the three sections.
Step-by-step explanation:
The red section seats 200 people.
The blue section seats 200 - 20 = <<200-20=180>>180 people.
The green section seats 180 * 2 = <<180*2=360>>360 people.
The total number of people who can sit in the stadium is 200 + 180 + 360 = <<200+180+360=740>>740 people.
Step-by-step explanation:
this is a college level question ?
and you don't know how to do this (because doing this yourself would have been much faster than posting the question and looking for the answer here) ?
oh my ...
red = 200
blue = red - 20 = 200 - 20 = 180
green = 2×blue = 2×180 = 360
total number = 200 + 180 + 360 = 740
Find the infinite sum of the geometric sequence with a = 4 , r = 4/6 if it exists.
Answer:
Step-by-step explanation:
The infinite sum of a geometric sequence is given by the formula:
S = a / (1 - r)
where a is the first term of the sequence and r is the common ratio. In this case, a = 4 and r = 4/6 = 2/3. Plugging these values into the formula above, we get:
S = 4 / (1 - 2/3) = 4 / (1/3) = 4 * 3 = 12
Therefore, the infinite sum of the geometric sequence with a = 4 and r = 2/3 is 12.
For each value of v , determine whether it is a solution to v/9+7=13
A newspaper article reported the results of a study comparing the proportions experiencing pain
relief using a new medication compared to using a placebo. The study showed that the proportion
experiencing pain relief was higher for the new medication (p1) when compared to the placebo
(p2). The researcher is quoted as saying that there was less than a 1 in 100 probability that the
observed differences in proportions was due to chance. The null hypothesis for this study is:
Answer:
there is no question here so how can i give you an answer?
Step-by-step explanation:
Can you explain me how factorize this : (x+1)²+3(x+1)+x+1
The factorization of the given expression is obtained as (x + 1)(x + 5).
How to factorise an algebraic expression?In order to factorize an expression first find all the terms that have the common factors. Then, write those terms in the form of product of factors. This is the way to factorize an expression.
The given algebraic expression is (x + 1)²+ 3(x + 1) + x + 1
It can be factorized as follows,
(x + 1)²+ 3(x + 1) + x + 1
⇒ (x + 1)²+ 3(x + 1) + (x + 1)
⇒ (x + 1)²+ 4(x + 1)
In all the three terms the common factor is (x + 1).
Take (x + 1) as common to get,
(x + 1)(x + 1 + 4)
⇒ (x + 1)(x + 5)
Hence, the given algebraic expression can be factorized as (x + 1)(x + 5).
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did i answer this correctly
a restaurant offers a dinner special for $25 per person plus a $5 per-person tip. Which expressions represent the special?
Write a statement that correctly interprets the confidence interval. Choose the correct answer below. O A. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. B. 95% of sample proportions will fall between the lower bound and the upper bound. C. One has 95% confidence that the sample proportion is equal to the population proportion. D. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
The sample proportion is 0.5507, standard error is 0.0151, margin error is 0.030 and population proportion fall between 0.521<p<0.58
A.
One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
The sample proportion, pcap = 0.5507
b) sample size, n= 1084
The standard error of the mean, or simply standard error, indicates how different the population mean is likely to be from a sample mean.
standard error, SE = [tex]\sqrt{(pcap*(1-pcap)/n)}[/tex]
SE=[tex]\sqrt{(0.5507*(1-0.5507)/1084)}[/tex]= 0.0151
Given Cl level is 95%, hence [tex]\alpha =1-0.95=0.05[/tex]
[tex]\frac{\alpha }{2}= \frac{0.05}{2}= 0.025[/tex]
Zc=Z[tex](\frac{\alpha }{2} )=1.96[/tex]
Margin of errors, in statistics, is the degree of error in results received from random sampling surveys.
Margin of error, ME = zc×SE
ME= 1.96×0.0151
ME= 0.030
c) Cl= (pcap-z×SE, pcap+z×SE)
Cl = (0.5507-1.96×0.0151, 0.5507+1.96×0.0151)
Cl= (0.521, 0.58)
0.521<p<0.58
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Rewrite log[(4)] using the properties of logarithms.
log[(4)] = 0.60205999132
Answer:
The value of log 4 to the base 10 is 0.6020. In this article, we will discuss the value of log 4 in terms of both natural logarithm and common logarithm in the logarithmic function. Logarithms are inverse of exponential functions.
Here is the value of log 4 with respect to base-10 and base-e.
Step-by-step explanation:
Now, let us discuss finding the value of log 4 using a common and natural log functions. Also, find the log of 4 to the base 2 here.
a survey of adults found that 7% say thier favorite sprt is auto racing out of 500 adults what is the probability that the number of people who say auto racing is their favorite sport is a most 41
Answer:
Step-by-step explanation:
Robbie pulls a marble out of the bag. What is the probability that the marble will be blue?
1/8
1/2
1/3
1/4
Answer: 1/4
Step-by-step explanation:
To find the probability that Robbie will pull a blue marble out of the bag, we need to first determine the total number of marbles in the bag. Since there are 2 blue marbles, 4 red marbles, and 2 yellow marbles, the total number of marbles in the bag is 2 + 4 + 2 = 8.
Next, we need to determine the number of blue marbles in the bag. Since there are 2 blue marbles, the number of blue marbles in the bag is 2.
Finally, we can use these numbers to calculate the probability that Robbie will pull a blue marble out of the bag. The probability is equal to the number of blue marbles divided by the total number of marbles, which is 2 / 8 = 1/4. Therefore, the probability that Robbie will pull a blue marble out of the bag is 1/4.
The probability of winning a certain game is 0.5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are
n=10, n=20, and n=100,
which value of n should the player choose in order to maximize the probability of winning a prize?
a. n=10 only
b. n =20 only
c. n = 100 only
d. n =10 or n =20 only; the probabilities are the same.
e. n=10 or n=20 or n=100 ; the probabilities are the same.
The probability of winning a prize remains the same for,
e. n = 10 or n=20 or n = 100; the probabilities are the same.
What is the binomial theorem on probability?In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).
From the information we get,
p = 0.5, So, q = 1 - 0.5 = 0.5.
If 70% of 'n' games are won then 30% of n games must be lost.
Let n = 10.
∴ [tex]P(x = 3) = ^{10}C_3p^7q^3[/tex].
[tex]P(x = 3) = ^{10}C_3(0.5)^7(0.5)^3[/tex].
P(x = 3) = 120×0.0078×0.125.
P(x = 3) = 0.117 Or 11.7% chance.
Now, Changing the value as all the 'n's are multiple of 10 and we'll have the same probability.
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level of confidence,
represents the expected proportion of intervals that will contain the parameter if a large number of different samples of size n is obtained. It is denoted
left parenthesis 1 minus alpha right parenthesis times 100 %.
The alpha value is the threshold for statistical significance.
What is the level of confidence in probability and statistics?Confidence levels must be decided upon in advance when conducting a survey since they affect the survey's essential scope and error margin. Confidence intervals of 90, 95, and 99% are widely employed in surveys.
A determined statistical result that was based on a sample would likewise hold true for the entire population within the established confidence level if the confidence level were set at 95%.
The probability cutoff for statistical significance is the alpha value. Although p = 0.05 is the most typical alpha value, 0.1, 0.01, and even 0.001 have also been utilized. To choose which alpha value to utilize, it is best to look at the research articles that have been published on your subject.
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1. Use the unit circle to find the exact value of the inverse trig function. Remember the domain of inverse cosine is limited to to quadrants | and || (the top half of the unit circle)
2. Use the unit circle to find the exact value of the inverse trig function. Remember the domain of inverse sine is limited to to quadrants | and |V (the right side of the unit circle)
Answer:
A. 120 degrees.
B. 0 degrees.
A gamer is observing her acore, y, as she plays a video game. She currently has 4,200 points and is gaining 250 points for every minute, x, she plays.
Which of the following equations can be used to describe this linear relationship
A. y = 250x - 4,200
B. y = 250x + 4,200
C. y = 4,200x - 250
D. y = 4,200x + 250
A meteorologist found that the rainfall in Georgetown during the first half of the month was 1/4 of an inch. At the end of the month, he found that the total rainfall for the month was 1/3 of an inch. How much did it rain in the second half of the month?
In second half of the month it rain by 1/12 of an inch.
Define Algebraic Expression
In mathematics, an expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)
Given,
The rainfall in Georgetown during the first half of the month was = 1/4 inch
The total rainfall for the month was = 1/3 of an inch
To get an answer for this, you need to subtract the amount of rainfall in first half from the total rainfall for the month. This would tell the how much it rained in the second half of the month.
= 1/3 - 1/4
= 4/12 - 3/12
= 1/12
Hence, In second half of the month it rain by 1/12 of an inch.
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a production line manager wants to determine how well the production line is running. he randomly selected 90 items from the assembly line and found that 8 were defective. (assume all conditions have been satisfied for building a confidence interval). find the 99% confidence interval to estimate the population proportion of items that are defective.
The 99% confidence interval to estimate the population proportion of items that are defective is (0.0116, 0.1662).
Sample size , n = 90
defective items , x = 8
Sample proportion = x / n
= 8/90 = 0.0889
= 1- 0.0889 =0.9111
At 99% confidence level the z is ,
α = 1 - 0.99 = 0.01 , α/ 2 = 0.01 / 2
= 0.005
Zα/₂ = Z0.005 = 2.576 ( Using z table )
Margin of error Formula, E = Zα/2× (sqrt(((p-hat× (1 - p-hat)) /n)
= 2.575 ×sqrt((0.0889*0.9111) /90 )
E = 0.0773
A 99% confidence interval is
p-hat - E < p < p-hat + E
=> 0.0889 - 0.0773 < p < 0.0889 +0.0773
=> 0.0116 < p< 0.1662
Hence, confidence interval is (0.0116, 0.1662).
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The ECOA Valuations Rule requires lenders to issue a copy of the appraisal or written valuation to an applicant
The ECOA Valuations Rule requires lenders to issue a copy of the appraisal or written valuation to an applicant. This is true.
What is ECOA?Discrimination in any way related to a credit transaction is forbidden by the Equal Credit Opportunity Act (ECOA). It covers all credit extensions, including those given to corporations, partnerships, trusts, and small businesses. The ECOA outlaws discrimination.
According to the ECOA Valuations Rule, you have three business days from the time you receive an applicant's application to inform them that they have the right to a copy of the appraisals. You must provide the applicant with copies of all appraisals and other written valuations as soon as possible.
According to the ECOA Valuations Rule, creditors must inform applicants of their right to obtain copies of appraisals and written valuations
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The ECOA Valuations Rule requires lenders to issue a copy of the appraisal or written valuation to an applicant. True or false.
30 POINTS The width of a rectangle is 4 inches shorter than its length. If the length of the rectangle is 7 inches, write and solve an addaition equation to find the width of the rectangle
A rectangle has a width w inches and a height h inches where the width is twice the height
The expression for the rate of change of A with respect to t is dA/dt = 4h * dh/dt in²/s. Option D
How to determine the valueThe formula for calculating the area of a rectangle is expressed as:
A = wh
Given that;
h represents the variable for the heightw represents the variable for the widthFrom the information given, we have that;
If the width is twice the height
This is represented as;
w = 2h
Then, substitute the values into the formula for area of a rectangle
A = (2h)h
A = 2h²
Then, the rate of change of area will be expressed as;
dA/dt
Take the differentiation
dA/dt = dA/dh × dh/dt
dA/dt = 4h * dh/dt in²/s
Hence, the rate is dA/dt = 4h * dh/dt in²/s
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The complete question:
A rectangle has width w inches and height h inches, where the width is twice the height. Both w and h are functions of time t, measured in seconds. If A represents the area of the rectangle, which of the following gives the rate of change of A with respect to t ?
A. dA/dt=4h in/sec
B. dA/dt=3h dh/dt in^2/sec
C. dA/dt=4h dh/dt in/sec
D. dA/dt=4h dh/dt in^2/sec
DUE SOON! PLEASE HELP!
Answer:
A or C, but A is my guess.
Step-by-step explanation:
Answer:
A.) The sum will be an even integer.
Step-by-step explanation:
The conjecture that can be made about the sum of two even integers and one odd integer is that the sum will be an even integer. This is because even integers are numbers that are divisible by 2, and odd integers are numbers that are not divisible by 2.
For example, consider the sum of the even integer 6 and the odd integer 7. The sum of these two numbers is [tex]6 + 7 = 13[/tex], which is an odd integer. However, if we add another even integer to the sum, such as 4, the resulting sum is [tex]13 + 4 = 17[/tex], which is an even integer. This shows that the sum of two even integers and one odd integer is always an even integer.
This conjecture can be proven using mathematical induction. We can start by showing that the sum of any two even integers and one odd integer is always an even integer. Then, we can assume that the sum of any n even integers and one odd integer is also an even integer. Finally, we can show that the sum of n+1 even integers and one odd integer is also an even integer, using the assumption that the sum of n even integers and one odd integer is even. This will prove that the conjecture is always true.
Clarence made a block of scented soap which weighed 2/3 of a pound. He divided the soap into 2
equal pieces. How much did each piece of soap weigh?
Three sets of two-thirds can be created since each whole produces a two-thirds and one half of another two-thirds.
How much the each piece of soap weigh ?The number 0.666 is 2/3 in decimal notation.Consequently, there are a total of 5 components to distribute. (2+3=5) Consequently, you divide the value you want to share by five.Consequently, there are a total of 5 components to distribute. 2 + 3 = 5, therefore you divide the value you want to distribute by 5.
The two most frequent splits are 2-for-1 and 3-for-1, meaning that a stockholder receives two or three shares, respectively, for each share they currently own. When a corporation divides the number of shares that stockholders own, the market price rises in proportion.
Sixteen twenty-fourths (16/24) is a fraction that is equal to two thirds (2/3).
He cut the soap into two equal pieces, making it weigh 0.333333333 pounds.
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Find the measures of angle
m∠1=___
m∠2=___
Applying the triangle sum theorem, the measures of the angles are:
m∠1 = 30°
m∠1 = 60°
What is the Triangle Sum Theorem?The triangle sum theorem states that we will always have a sum of 180 degrees when we add all interior angles of a triangle.
Therefore:
m∠2 = 180 - 90 - 30 [triangle sum theorem]
m∠2 = 60°
Angle 1 and Angle 2 are complementary angles, therefore:
m∠1 + m∠2 = 90
Substitute
m∠1 + 60 = 90
m∠1 = 90 - 60
m∠1 = 30°
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A basket contained 4 times as many blue balls as red balls. After 21
blue balls were taken away, there were twice as many red balls as blue
balls. How many balls were there in the basket at first?
The number of balls in the basket at first is 35.
How to find the number of balls in the basket?A basket contained 4 times as many blue balls as red balls.
Therefore,
let
x = red balls
Hence,
number of blue balls = 4x
After 21 blue balls were taken away, there were twice as many red balls as blue balls.
2(4x - 21) = x
8x - 42 = x
subtract 8x from both sides of the equation
8x - 42 = x
8x - 8x - 42 = x - 8x
-42 = - 7x
divide both sides by -7
x = -42 / -7
x = 6
Therefore,
red balls = 7
blue balls = 4(7) = 28
Total balls = 35
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Answer:
35
Step-by-step explanation:
don't ask
A piece of art is in the shape of a rectangular pyramid like the figure shown.
How much glass is needed to cover the entire pyramid?
A: 102.53 ft2
B: 144.53 ft2
C: 198.06 ft2
D: 289.06 ft2
The area of the given pyramid will be 144.53 ft² thus option (B) is correct.
What is a pyramid?With a base that is a polygon and sides that are three or more triangles that converge at the top.
A pyramid is a three-dimensional object in which three triangles intersect in such a way that the base side becomes a triangle.
As per the given pyramid,
Total surface area = 2 x(1/2)6 x 8 + 2 x (1/2)7 x 7.79 + 7 x 6
Total surface area = 24 + 27.265 + 42 = 144.53 ft²
Hence "The supplied pyramid will have a surface area of 144.53 feet²".
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PLEASE HELP
Shalane wants to open a snow cone shop in Panama City, Florida, but does not know if she should keep her shop open all year round, or just for a portion of the year. She decides to collect data on the relationship between the temperature outside and snow cone sales in Panama City in order to decide if her shop should remain open in the winter months. A scatter plot with a line of best fit that was generated with technology is shown.
The equation for the line of best fit in the slope and the intercept form is given as y₁ = 1.91944X₁ - 65.8518
What is the line of best fit?A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
y₁ = mX₁ + b
we have m = 1.91944
b = -65.8518
The question requires us to fill in the values that we have into the corresponding equation.
We will have
y₁ = 1.91944X₁ + (-65.8518)
y₁ = 1.91944X₁ -65.8518
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which of these graphs does not show a valid probability distribution? choose 1 answer: choose 1 answer:
The graph that does not show a valid probability distribution is option A.
Probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events. In order to determine if a probability distribution is valid, there are two criteria that must be checked. First determine whether each probability is greater than or equal to 0 and less than or equal to 1. Secondly, determine whether the sum of all of the probabilities equals 1. If both the conditions are true, then the probability distribution is valid, otherwise, the probability distribution is not valid. Based on the provided graphs, the first condition is met for all but the second condition is untrue for option A as the sum of probability is less than 1. Hence it is not a valid probability distribution.
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Change the given form into the decimal form. 7 1/4 %
We know that,
With the help of example,
5/3
Numerator= number of equal parts of remaining
Denominator=total number of equal parts.
According to question.
Given data in the question,
Multiply the whole number by the denominator.
7×4=28………………. (1)
Adding 1 in numerator
28+1=29
Divide by 4 in denominator
29 divided by 4
7.25
the decimal form of 7 1/4% is 7.25
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After changing 7 1/4 percent into decimal we get, 7.25.
What is decimal?In mathematics, decimals can be used as an alternative to fractions. You can express a fraction in decimal form, such as 0.5, rather than writing it out as 1/2, with zero in the place of the one and five in the place of the ten. Decimus, which means tenth in Latin, is the root of the word decimal. The decimal system is also known as a base-10 system because it uses 10 as its fundamental unit.
Decimal refers to any number in the decimal system. They are employed in the expression of both whole numbers and fractions. A "." (known as a decimal point) is inserted to demarcate the whole number from the fraction. The space between the digit in the ones place and the digit in the tenth place is known as the decimal point, and it serves as the separator between them.
Given that 7 1/4 %
in proper form it will be written as
=(7×4)+1 /4
= 29/4
now dividing 29 by 4 we get
7.25
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Which statement about the figure MUST be true?
Answer:
The figure is an an isosceles triangle
Mr. Jones’ doctor told him that he should not be active until he had 50 mg or less of the medicine left in his body. How long did it take for Mr. Jones to be able to be active? Give your answer to the nearest tenth (0.1) of an hour.
Without more information, it is not possible to determine how long it took for Mr. Jones to have 50 mg or less of the medicine left in his body. Factors such as the type of medicine, the dosage Mr. Jones was taking, and his metabolism can all affect the amount of time it takes for the medicine to be metabolized and eliminated from his body. It is important for Mr. Jones to follow the instructions given to him by his doctor and to consult with his doctor if he has any questions or concerns.
An object falls freely from rest under the influence of gravity. If air resistance is negligible, the ratio ofthe distances traveled during each 1-second time interval by the object during the first, second, and third seconds of its fall is
O 1:1:1
O 1:2:3
O 1:2:4
O 1:3:5
O 1:4:9
The correct answer is O 1:2:3. In a free-falling object, its acceleration due to gravity is constant.
What is distance?Distance is the physical separation between two points or objects. It is usually measured in miles, kilometers, or meters. Distance can be used to measure the length of a journey, the size of an area, or the difference between two locations. Distance is also used to measure the time taken to travel, the speed of an object, or the strength of a signal. Distance is an important concept in physics and mathematics, and it is fundamental to the understanding of the universe.
This means that the distance covered in each 1-second time interval is directly proportional to the square of the time elapsed. Therefore, the ratio of distances traveled during each 1-second time interval by the object during the first, second, and third seconds of its fall will be 1:2:3.
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