Mary's lowest grade in the original set of 5 math tests was 80. Mary's average grades on 5 math test was 88 and lowest grade was 80
To find Mary's lowest grade, we can subtract the sum of the remaining 4 grades (after dropping the lowest grade) from the sum of all 5 grades. The average of the 5 tests is given as 88, so the sum of the 5 grades is 5 * 88 = 440. The sum of the remaining 4 grades is 4 * 90 = 360. By subtracting 360 from 440, we get the lowest grade, which is 80.To find Mary's lowest grade in the original set of 5 math tests, we can use the given information.
Let's assume the lowest grade is represented by x.
According to the problem, Mary's average grade on the 5 math tests was 88. So, the sum of her grades on all 5 tests is 5 * 88 = 440.
If her lowest grade is dropped, the sum of the remaining 4 grades is 4 * 90 = 360.
To find the lowest grade, we subtract the sum of the 4 grades from the sum of all 5 grades:
440 - 360 = 80
Therefore, Mary's lowest grade in the original set of 5 math tests was 80.
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Bridgette has already taken 7 pictures at home ,and she expects to take 1 picture during everyday of vacation. How many days will Bridgette have to spend on vacation before she will have taken 9 pictures?
Answer:
I believe she would have to spend 2 days on vacation.
Step-by-step explanation:
She already have 7 pictures and she takes 1 a day. Therefore, she would have to spend 2 days on vacation to get 9 pictures.
A sandbox
is
advertised to
hold 240 cubic feet
of sand. If the base
of the sandbox has
an area of 12 square
feet, then what is the
height of the
sandbox?
Answer:
20
Step-by-step explanation:
240 divided by 12 = 20
last month 15 homes were sold in town x. the average (arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000. which of the following statements must be true? i. at least one of the homes was sold for more than $165,000. ii. at least one of the homes was sold for more than $130,000 and less than $150,000. iii. at least one of the homes was sold for less than $130,000.
Statement ii "at least one of the homes was sold for more than $130,000 and less than $150,000." must be true. Because Since the arithmetic mean sale price is $130,000, it means that half of the homes were sold for more than $130,000 and half were sold for less than $130,000. So, the correct option is Statement ii.
Since the arithmetic mean sale price is $150,000, it means that the total sale price of all 15 homes combined was $150,000 x 15 = $2,250,000. However, this does not necessarily mean that at least one of the homes was sold for more than $165,000, as some homes could have been sold for less than the mean to bring the average down. Therefore, statement i is not necessarily true.
On the other hand, statement iii is not necessarily true either, as we have no information about the sale price of the lowest-priced home or any other individual home. It is possible that all 15 homes were sold for more than $130,000, in which case statement iii would be false.
So, the correct answer is statement ii.
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ow many ways can you get exactly six heads and exactly six tails if after six tosses you have had three tails and three heads?
The number of possible combinations available as calculated from the given data is 259200.
Coin just has a head and a tail.
The potential configuration is (6! * 6!)/2.
Divide by two because each coin has two faces.
The potential configuration is (6! * 6!)/2.
The potential configuration is (( 720 x 720)/2
The potential configuration is 259200.
259200 different combinations are available.
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data.
Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.
Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations can be counted in simpler situations. Combination is the taking together of n items, k at a time, without repetition.
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If 10 men earns rs 180 in 18 days for 6 working hours a day. how much will 15 men earns in 24 days for 8 working hours a day?
To complete the work in 18 days 10 men work 6 hours day
To complete the work in 18 days 1 man work (10 x 6) hours a day
To complete the work in day 1 man will work (6 x 10 x 18) hours in a day (less days, less men, more hours)
To complete the work in 1 day 15 men will work 15(6×10×18) hours a day
∴ To complete the work in 12 days 15 men will work 12×156×10×18 hours a day
(more days, more men, less hours) = 6 hours a day
Matter is not created or destroyed:
A scientist studied the migration patterns of two types of whales. The humpback whale traveled 2,000 miles in 25 days. The gray whale traveled 2,250 miles in 30 days. Assuming the humpback whale travels the same distance each day, what is the unit rate for the humpback whale in miles per day?
Answer:
it is 80 miles
Step-by-step explanation:
2000 divided by 25 is 80 therefore you multiply 80 x 30
another financial analyst, who also works for the online trading platform, claims their clients have a lower proportion of stock portfolios that contain high-risk stocks. this financial analyst would like to carry out a hypothesis test and test the claim that the proportion of stock portfolios that contain high-risk stocks is lower than 0.10. why is their hypothesis test left-tailed?
The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.
In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.
By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.
Therefore, a left-tailed hypothesis test is appropriate in this scenario.
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Find such m, that point (-2,4) is on line y=mx-3
Answer:
-3.5 ( or -7/2)
Step-by-step explanation:
we can substitute the point into this function to find out the answer
that is:
4 = m*(-2) -3
7 = m*(-2)
m = 7 / (-2)
m = -3.5
Here is the production function for the economy of Morovia: Y=
K (Y= Square Root of K). People invested 55% of income, and 10% of capital depreciates. If capital was equal to 25 last year, and technology did not change, then what could be the amount of capital this year? Select one: a. Something more than 25 b. 25 c. Something less than 25 d. None of these are true e. It is not possible to determine this from the information given
Based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).
To determine the amount of capital this year based on the given information, we can use the investment and depreciation rates.
Let's denote the amount of capital this year as K1.
According to the information provided:
People invest 55% of income, but we don't have any information about income. Therefore, we cannot determine the exact investment amount.
10% of capital depreciates. Based on this, the capital at the beginning of this year (K1) can be calculated as follows:
K1 = K - 0.1K
= 0.9K
Since we know that the capital last year was equal to 25, we substitute K = 25 into the equation above:
K1 = 0.9 * 25
= 22.5
Therefore, based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).
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Can I please get help in this percent prediction portfolio!
Choose one item of interest to you in the Historical Pricing Chart on the next page.
Calculate the percent of change of the item's price each decade, and use your results to determine the average rate of change from 1960–2000.
Comment on the trend in your item’s percent of increases.
Go shopping! Find the average current price of your item online, in the newspaper, or locally by looking at the price when you go to the store in the next day or two. Does the current price match the trend from 1960–2000 that you identified? Explain your thinking.
Create a line graph or other visual model to show the pricing trend. Be sure to include the current price in your model.
Predict the item's price at a future date. Use your calculations and visual model to justify your prediction.
Organize your analysis, prediction, explanations, and visual model in a brief news article. Your completed article will be submitted as your portfolio assessment.
Please explain the answer too! No rush please take your time!! Thank you
Answer:
I chose "Gallon Of Gas"
Percent of Change is (19.8C:CENTS:)per year
Average price of the item (Gas Gallon) this year (2021) is $3.744
Does It Match The Trend ? NO!
Disease in 2021 ranked the gas prices up a ton in 2021 almost by $2 in some states.
Predicted Gas Prices For Future Year !
$4 dollars per gallon / Capital price at the average rate of change and economic fixtures (Real-Life Problems)
Step-by-step explanation:
Calculate the percent of change of the item's price each decade, and use your results to determine the average rate of change from 1960–2000.
A common search on the web shows the expideited increase in gas prices incoming for the next decade.
Down below is the line graph recorded date sheet !
when data are positively skewed, the mean will usually be
With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.
Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.
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11.)
12.)
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The indicated z score is (Round to two decimal places as needed.) A 0.2514, Z 0
Fi
Given the standard normal distribution with a mean of 0 and standard deviation of 1. We are to find the indicated z-score. The indicated z-score is A = 0.2514.
We know that the standard normal distribution has a mean of 0 and standard deviation of 1, therefore the probability of z-score being less than 0 is 0.5. If the z-score is greater than 0 then the probability is greater than 0.5.Hence, we have: P(Z < 0) = 0.5; P(Z > 0) = 1 - P(Z < 0) = 1 - 0.5 = 0.5 (since the normal distribution is symmetrical)The standard normal distribution table gives the probability that Z is less than or equal to z-score. We also know that the normal distribution is symmetrical and can be represented as follows.
Since the area under the standard normal curve is equal to 1 and the curve is symmetrical, the total area of the left tail and right tail is equal to 0.5 each, respectively, so it follows that:Z = 0.2514 is in the right tail of the standard normal distribution, which means that P(Z > 0.2514) = 0.5 - P(Z < 0.2514) = 0.5 - 0.0987 = 0.4013. Answer: Z = 0.2514, the corresponding area is 0.4013.
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The modeling process begins with the framing of a _________________ that shows the relationships between the various parts of the problem being modeled mathematical model circular model conceptual model correlation model
Answer:
Step-by-step explanation:
you hav to times it
The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled. This model helps to identify the mathematical correlations between variables and provides a foundation for developing a more detailed and accurate mathematical model.
The modeling process begins with the framing of a mathematical model that shows the relationships between the various parts of the problem being modeled. This model is often based on data analysis and utilizes statistical techniques to establish correlations between the different variables in the problem. Ultimately, the goal of the modeling process is to create a predictive tool that can be used to make informed decisions about the problem at hand.
Process models involve graphically representing processes or functions that capture, manage, store, and distribute information between the system and its environment and physical objects. One type of process model is the flowchart (DFD). A data flow is a diagram that shows the movement of data between external sources and processes and the data stored in the system. While several different tools have been developed for modeling, we focus only on data streams as they are effective tools for modeling. While not all organizations use all analytical methods, including these methods such as data flow, they have a significant impact on the development process.
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How many gallons of paint will you need to paint a bedroom that is 10 ft by 14 ft with walls that are 7 1/2 ft high? The walls will need two coats to cover the old paint.
How many gallons of paint are needed to paint the ceiling of the same room in the last question, one coat of paint will suffice.
you have two walls that are 10 by 7.5 so 75 feet ^2 in area each
you have another two walls that are 14 by 7.5 so 105 feet^ 2 each
so all of that together is 360 feet^2 to cover for one coating, so you have 720 feet^2 to cover for 2 coats on the walls. so take that and divide it by the area that one gallon would cover, then round up giving you how many gallons you would have to buy
for the ceiling you do the same, the area is 140 and you only need one coat
A rock is dropped into a pond, creating a circular ripple. The radius of the ripple increases steadily at 6 cm/s. A toy boat is floating on the pond, 2.00 m east and 1.00 m north of the spot where the rock is dropped. How long does the ripple take to reach the boat?
Answer: 28.87 seconds
Step-by-step explanation:
Check attached image for explaination
x(B+7)=9
Please help
Answer:
bx + 7x = 9 or (b + 7)x = 9
Step-by-step explanation:
Solve the system of equations below.
x - 2y=3
2x - 3y=9
A. (-9,3)
B. (3,9)
C. (-3,9)
D. (9,3)
Answer:
C. (9,3)
Step-by-step explanation:
not sure if i'm right.. but i hope it helps!
Answer:
x - 2y=3
Step-by-step explanation:
x - 2y=3
if an airplane travels around the world, flying just above the equator it would travel 1.25 x 10^4 miles. How many miles would a plane travel if it flew around the world just above the equator 3 1/2 times?
(in standard form)
A plane flying just above the equator around the world 3 1/2 times would cover a distance of 4.375 x 10⁴ miles.
If an airplane travels around the world just above the equator once, it covers a distance of 1.25 x 10⁴ miles. To find how many miles it would cover if it flew around the world 3 1/2 times, we need to multiply this distance by 3.5:
1.25 x 10⁴ miles x 3.5 = 4.375 x 10⁴ miles
To understand this calculation, we need to know that 3 1/2 times means 3.5 times. So, we multiply the distance covered in one round of the world by 3.5 to find the total distance covered in 3 1/2 times around the world.
We use standard form to express the answer in a more compact and convenient way, where 4.375 x 10⁴ represents the number 43,750 in scientific notation.
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A container holds 10 gallons of water. If58of a gallon is added to the container each hour, how many hours would it take to fill the container?A)16B)2C)50D)5088of a gallon is added to the container each hour, how many hours would it take to fill the container?
The correct answer is A) 16. It would take 16 hours to fill the container if 5/8 of a gallon is added each hour.
If 5/8 of a gallon is added to the container each hour, we can calculate the number of hours it would take to fill the container.
Let's assume it takes "h" hours to fill the container. In each hour, 5/8 of a gallon is added. Therefore, in h hours, the total amount of water added would be (5/8) * h gallons.
According to the problem, the container holds 10 gallons of water. So, we can set up the equation:
(5/8) * h = 10
To solve for h, we can multiply both sides of the equation by 8/5:
h = 10 * (8/5)
h = 16
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what is 3x^2-x-2 factored?
To factor the quadratic expression 3x^2 - x - 2, we need to find two binomials that, when multiplied, give us the original expression.
The factored form of the quadratic expression can be determined by breaking down the middle term (-x) into two terms whose coefficients multiply to give the product of the coefficient of the squared term (3) and the constant term (-2). In this case, the product is -6. We are looking for two numbers whose sum is equal to -1 (the coefficient of the middle term) and whose product is equal to -6.
The numbers that satisfy these conditions are -3 and 2. We can now rewrite the expression using these numbers:
3x^2 - x - 2 = 3x^2 - 3x + 2x - 2
Next, we group the terms and factor by grouping:
(3x^2 - 3x) + (2x - 2) = 3x(x - 1) + 2(x - 1)
Now, we can see that we have a common binomial factor of (x - 1) in both terms. We can factor this out:
3x(x - 1) + 2(x - 1) = (3x + 2)(x - 1)
Therefore, the factored form of the quadratic expression 3x^2 - x - 2 is (3x + 2)(x - 1).
An item is priced at $13.51. If the sales tax is 7%, what does the item cost including sales tax? please help ♀️♀️
Answer:
14.45
Step-by-step explanation:
If the amount of space between support towers is between 200 and 300 feet, determine the number of towers you will use.
SHOW ALL WORK TO EARN CREDIT.
What does it mean when eigenvalues are equal?
When the eigenvalues of a matrix are equal, it means that the matrix has repeated eigenvalues. This can occur for matrices of any size, but is most commonly encountered for 2x2 or 3x3 matrices.
When a matrix has repeated eigenvalues, it can exhibit some special behaviors that are not observed for matrices with distinct eigenvalues. In particular, the matrix may not be diagonalizable, meaning that it cannot be transformed into a diagonal matrix using a change of basis. Instead, it may have only one eigenvector associated with the repeated eigenvalue, or it may have a full set of linearly independent generalized eigenvectors.
In the case of a 2x2 matrix A with repeated eigenvalues λ, the matrix may be expressed in Jordan canonical form as:
A = P * J * P^-1
where J is a matrix with λ on the diagonal and 1 on the super-diagonal, and P is the matrix whose columns are the eigenvectors and generalized eigenvectors of A. In this case, the solutions of the system x' = Ax may have a non-trivial component along the generalized eigenvector, which can lead to more complicated behavior than for matrices with distinct eigenvalues.
Overall, the presence of repeated eigenvalues in a matrix can indicate that the matrix has some special structure or symmetry, and may require additional techniques beyond diagonalization to fully understand its behavior.
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The m2 TQR is decreased by equal increments as shown in the series of figures
below.
Susan was asked to make predictions about Figure 4. Susan predicts that PR will be
parallel to TQ. Which statement best supports Susan's prediction?
The angle formed at corresponding locations between lines \(\overline{PR}\) and \(\overline {TQ}\)
and the common transversal \(\overline {WV}\) are corresponding angles.
The statements that support Susan's predictions are;
m∠PRV and m∠TQR are corresponding anglesm∠PRV = 130° = m∠TQRm∠PRV ≅ m∠TQR by congruency definition\(\overline{PR} \cong \overline {TQ}\) by corresponding angles theoremReason:
The given measures of ∠TQR are;
In figure 1, m∠TQR = 145°
In figure 2, m∠TQR = 140°
In figure 3, m∠TQR = 135°
Therefore, we have the following sequence;
145°, 140°, 135°
From the above sequence, we have that each subsequent term, is less
than the previous one by 5 degrees, therefore on figure 4, we have;
Figure 4, m∠TQR = 135° - 5° = 130°
Therefore, on figure 4, we get;
m∠PRV and m∠TQR are corresponding angles
m∠PRV = 130° = m∠TQR
Which gives;
m∠PRV ≅ m∠TQR by definition of congruency
Therefore;
\(\overline{PR} \cong \overline {TQ}\) by corresponding angles theorem.
Corresponding angles theorem states that if two lines that are parallel have
a common transversal cutting both lines, the corresponding angles formed
are congruent.
Therefore, the statements that support Susan's prediction are;
On figure 4;
m∠PRV and m∠TQR are corresponding anglesm∠PRV = 130° = m∠TQRm∠PRV ≅ m∠TQR by definition\(\overline{PR} \cong \overline {TQ}\) by corresponding angles theoremLearn more here:
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What percent of 80 is 74?
Answer: 59.2
Step-by-step explanation:
all u do is 80x0.74 anathor is example is what of 30 is 12 so u do 30x0.12 which is 3.6
Given that \( z \) is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places. a. \( P(0 \leq z \leq 0.59) \) b. \( P(-1.51 \leq z \leq 0) \) c.
The probability\(\( P(0 \leq z \leq 0.59) \)\) is approximately 0.2236.
To calculate this probability, we need to find the area under the standard normal curve between 0 and 0.59. We can use a standard normal distribution table or a calculator to find the corresponding z-scores and then calculate the probability?To calculate the probability, we need to find the area under the standard normal curve between 0 and 0.59. This can be done by using the standard normal distribution table or a calculator.
The table provides the cumulative probability up to a given z-value. For 0, the cumulative probability is 0.5000, and for 0.59, the cumulative probability is 0.7224. To find the probability between these two values, we subtract the cumulative probability at 0 from the cumulative probability at 0.59:
0.7224
−
0.5000
=
0.2224
0.7224−0.5000=0.2224. Rounded to four decimal places, the probability is approximately 0.2217.
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please help algebra test tomorrow
2(x + 8) = x + 20 help meeeeeeee !!!!! i
need help
Answer: x=4
Step-by-step explanation:
firstly you solve the barracks first by multipy 2 into ( x+8) after that you collect like terms on one side of the equation or make x become the subject of the equation and solve for x
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n= 12,
p= 0.7,
x= 10
The probability of getting exactly 10 successes in 12 independent trials, given the probability of success in each trial is 0.7, is 0.0159 or approximately 1.59%.
Now, let's consider a binomial probability experiment with the given parameters: n= 12, p= 0.7, x= 10. Here, n represents the total number of independent trials, p represents the probability of success in each trial, and x represents the number of successful trials that we are interested in calculating the probability for.
Using the given values, we can substitute them into the formula to find the probability of 10 successes in 12 independent trials:
P(10) = \((^{12}C_{10}) \times 0.7^{10} \times (1-0.7)^{12-10}\)
P(10) = (66) x 0.02824 x 0.0081
P(10) = 0.0159 or approximately 1.59%
This means that if we were to repeat this experiment many times, we would expect to get exactly 10 successes in about 1.59% of the trials.
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