Answer:
We can use a system of equations to solve this problem. Let x be the number of 1-point shots and y be the number of 2-point shots.
The first equation represents the total number of shots taken:
x + y = 55 (1)
The second equation represents the total number of points scored:
x + 2y = 91 (2)
To solve for x and y, we can use the first equation to substitute for one of the variables in the second equation. Using (1) to substitute for x in (2):
y = 55 - x
Then substitute this value of y in equation (1)
x + (55 - x) = 55
Solving for x, we get:
x = 20
So the team made 20 1-point shots and 35 2-point shots.
Answer:
There are:
19 1-point shots
36 2-point shots
Step-by-step explanation:
Solve for the system of equations. The first equation will give you the value based on the total amount of points, while the other equation will be based on the amount of shots in total:
It is given that the team scores 91 points in all, and that they are all 1- and 2- point shots (no 3 pointers). Set the equation. Let x = 1-point shots, and y = 2-point shots:
x + y = 55
1x + 2y = 91
First, isolate the variable, y, in the first equation. Subtract x from both sides of the equation:
y + x = 55
y + x (-x) = 55 (-x)
y = 55 - x
Next, plug in 55 - x for y in the second equation:
x + 2y = 91
x + 2(55 - x) = 91
Then, simplify. First, distribute 2 to all terms within the parenthesis:
2(55 - x)
= (2 * 55) - (2 * x)
= 110 - 2x
x + 110 - 2x = 91
First, combine like terms. Like terms are terms that share the same amount of the same variable:
(x - 2x) + 110 = 91
-x + 110 = 91
Then, isolate the variable, x. First, subtract 110 from both sides of the equation:
-x + 110 (-110) = 91 (-110)
-x = 91 - 110
-x = -19
Isolate the variable, x, completely, by dividing -1 from both sides of the equation:
(-x)/-1 = (-19)/-1
x = -19/(-1)
x = 19
~
Plug in 19 for x in one of the given equations in the system of equations:
x + y = 55
19 + y = 55
Isolate the variable, y, by subtracting 19 from both sides of the equation:
y + 19 = 55
y + 19 (-19) = 55 (-19)
y = 55 - 19
y = 36
~
There are 19 1-point shots & 36 2-point shots
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17. Amanda recently had back surgery. The doctor instructed her not to lift anything over 5
kilograms for several weeks. Today, Amanda is going to the hospital to visit her newborn
nephew that weighs 4,050 grams. Is it okay for Amanda to lift the baby? Justify your
answer.
Answer:At Ubis Hotel we promise to _______ your problem in fifteen minutes or less. *
1go away
2set off
3move on
4deal with
We are _______ for two weeks so the neighbor is coming to water the plants. *
1going away
2setting off
3moving on
4dealing with
Grandma is ________ at our house, so I'll have to sleep on the sofa again. *
1going away
2staying over
3stopping over
4moving on
After two days in Naples we're ready to _______ to Capri. *
1go away
2move on
3stop over
4stay over
Dad wants to _______ early to avoid the traffic. *
1go away
2set off
3move on
4stay over
The Walton family are _______ in Berlin on their way to Amsterdam. *
1going away
2moving on
3stopping over
4staying over
Step-by-step explanation:
Answer:
It is understood that 1 kilogram (kg) is equal to 1000 grams (g).In order to solve the above given problem just consider about conversion of kg to gram.
Step-by-step explanation:
• As doctor instructed the Amanda not to lift anything over 5 kilogram .And if we analyze the weight of newborn nephew that is 4050 gram or near about 4.02 gram .
• Therefore the weight of nephew is less than the weight advised by the doctor.
• Hence, Amanda can lift baby without any problem.
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if y is directly proportional to x√ and y=2 when x=3 Find the value of y when x=6
Answer:
20.75Rs,find n.
Step-by-step explanation:
How much was one movie ticket in 2008
Answer: 7 dollars 18 cents.
Step-by-step explanation:
Jackie wants to buy a dress, the regular price of the dress is $36 but it is on sale for 20% off, what is the final price, show work.
Answer: The final price is $7.2
Step-by-step explanation: if you multiply 36 x 20 = 720 and if you divide 100 = 7.2
Use the table to find how many quarts are equivalent to 7 gallons.
There are quarts in 7 gallons.
Answer:28
Step-by-step explanation:
Answer:28 quarts
Since there are 4 quarts in a gallon you can multiply 4x7 which is 28. Its 28
knowing that one day is 24 hours, how many days is 54.7 hours? calculate and provide your answer here. (show your work for full credit)
2.279 days for 54.7 hours if we knowing that one day is 24 hours
We have to convert 12.4 hours to hours and minutes i.e. we need to find the equivalent form of this time as whole in hours and minutes.
We know that 12.4 hours means 12 hours+0.4 hours.
0.4 hours=4/10 hours
Also 1 hour= 60 minutes
This means that 4/10 hour could be converted as:
4/10 hour=(4/10)×60 minutes
Hence 0.4 hour= 24 minutes.
Hence on conversion we get that 12.4 hours is equal to 12 hours and 24 minutes.
The setting Robert Frost chose is in this poem is Autumn Day. It is not feasible to restart from the supplied place. Therefore, it is crucial to make the appropriate decisions throughout one's life. Any foolish choice has the potential to wreck our lives.
2.279 days for 54.7 hours if we knowing that one day is 24 hours
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Of the 50 U.S. states, 4 have names that start with the letter W
What percentage of U.S. states have names that start with the letter, W ?
Answer:
8%
Step-by-step explanation:
Set up a fraction:
States with W / All States
4 / 50
Convert the fraction into a decimal:
4/50 = 0.08
Convert the decimal into a percent:
0.08 * 100 = 8
8%
8% of the US has a state name that starts with 'W'.
Summarize statistical methods used in forecasting and the types of time series to which they are most appropriate.
One of the areas of Statistical Methods is forecasting (making future predictions), which also includes computing regressions and determining the theoretical validity.
What do you mean by Statistical Methods?Naive forecasting, which repeats the present datum into future periods, is one of the statistical methods used in predicting. It can be used to generate sample predictions, after which one can compare other methods' results.
Methods-
Moving Average
Exponential Smoothing
Autoregressive Moving Average
Therefore, since it doesn't provide an exact model, this applies to time series where all that is required is some basic data.
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Please can you work this out?
Suppose the math department chair at a large state university wants to estimate the average overall rating, out of five points, that students taking Introductory Statistics gave their lecturers on their end-of-term evaluations. She selects a random sample of 36 evaluations and records the summary statistics shown. Sample size Standard deviation of Confidence level Sample Sample standard Population standard mean deviation deviation x 3.8711 1.0755 1.0222 n S 0 с 02 0.1704 36 95% The department chair determines the standard deviation of the sampling distribution of x using o, the standard deviation calculated from all student evaluations submitted to her department. Assume the Statistics lecturers' ratings have the same standard deviation. Use this information to find the margin of error and the lower and upper limits of a 95% confidence interval for u, the mean overall rating students gave their Introductory Statistics lecturers. Round your answers to the nearest hundredth. Margin of error = Lower limit = Upper limit = Complete the following sentence to state the interpretation of the departinici Vran » confidence interval. Complete the following sentence to state the interpretation of the deparulCII Can O nvonfidence interval. The that the of the overall ratings given at the end of the term Answer Bank confidence interval the student evaluations in the sample probability is 95% all student evaluations of Statistics lecturers standard deviation is between the lower and upper limits mean standard deviation of x is 3.8711 department chair is 95% confident
The margin of error is 0.06, the lower limit of the confidence interval is 3.81, and the upper limit is 3.93 (rounded to two decimal places).
Based on the information provided, we can calculate the margin of error and the lower and upper limits of a 95% confidence interval for the mean overall rating students gave their Introductory Statistics lecturers.
First, we need to find the margin of error:
Margin of error = z* (o / sqrt(n))
where z* is the z-value corresponding to a 95% confidence level, o is the standard deviation of the population, and n is the sample size.
Since the confidence level is 95%, the z-value is 1.96 (from standard normal distribution table).
o is given as 0.1704
n is given as 36
Plugging in these values, we get:
Margin of error = 1.96 * (0.1704 / sqrt(36)) = 0.0575
Next, we can find the lower and upper limits of the confidence interval:
Lower limit = x - margin of error
Upper limit = x + margin of error
where x is the sample mean.
x is given as 3.8711
Plugging in the margin of error, we get:
Lower limit = 3.8711 - 0.0575 = 3.8136
Upper limit = 3.8711 + 0.0575 = 3.9286
Therefore, the margin of error is 0.06, the lower limit of the confidence interval is 3.81, and the upper limit is 3.93 (rounded to two decimal places).
The interpretation of this confidence interval is that the department chair is 95% confident that the true mean overall rating given by all Introductory Statistics students is between 3.81 and 3.93.
This interval is based on a random sample of 36 evaluations and assumes that the standard deviation of the population is the same as the standard deviation of the sample.
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I need help as soon as possible
Answer:
A. x = 4
I hope this helps!
Penicillin stars being metabolized by your body as soon as you take it (true ofall medicications). Penicillin is eliminated expenentially. Suppose you receive a 300-mg dose of penicillin to combat strep throat. About 180-mg will remain
active in your blood after 1 day.
Penicillin is an antibiotic drug that is used to treat bacterial infections. The process of eliminating penicillin from the body is an important factor to consider when determining the correct dose of this drug.
This means that the amount of penicillin in the body decreases at a constant rate over time. Suppose a person receives a 300-mg dose of penicillin to combat strep throat. After one day, approximately 180-mg of the drug will remain active in their bloodstream. This is due to the fact that the elimination half-life of penicillin is approximately 1 hour. Therefore, after 1 hour, 150-mg of the drug will remain in the bloodstream. After 2 hours, this amount will decrease to 75-mg, and so on.
The expenential elimination of penicillin from the body is important to consider when determining the frequency and dose of this drug.
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6 2/9 ÷ (-2 2/3)
please help
- 2 1/3
Step-by-step explanation:Hi there !
6 2/9 : ( - 2 2/3) =
= (6*9+2)/9 : -(2*3+2)/3
= 56/9 : - 8/3
= 56/9 × - 3/8
simplify 56 - 8 ; 9 - 3
= 7/3 × - 1/1
= - 7/3
= - 2 1/3
Good luck !
Find the slope of (5,5), (7,3)
Answer: -1
Step-by-step explanation:
\(\frac{5-3}{5-7}=-1\)
Please hurry and help
Answer:
b
Step-by-step explanation:
The equation Y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line?
O -13
0-7
O 2
08
Please help
Rearranging this into slope-intercept form, we see that the y-intercept is -7.
Step-by-step explanation:
y - 3 = -2(x + 5)
y - 3 =-2x + -10
y-intercept x = 0
y - 3 = -10
y = -10 + 3
y = -7
The diameter of a circle is 4 centimeters. What is the circle's circumference?
Use 3.14 for л.
The formula that you must used to determine the circumference of a circle is C = \(\pi\)d
First things first, substitute your diameter into the formula provided above,
C = \(\pi\)(3.14)(4)
Next you've substituted the diameter into the formula, you may calculate it.
C = \(\pi\)(3.14)(4) = 12.57
Finally, it has been determined that the answer to your question is 12.57
Exercise 5<br />Part 1<br />Calculate by justifying the measurement of angles: CAD and CDA<br />B<br />45<br />432<br />35.35<br />Part 2<br />1) give the value of BD 92<br />2) show that AD = V50<br />3) show that AC = 50<br />3) calculate the exact value of CD<br />30<br />Part 3<br />Check that x is the difference between the perimeters of triangles ABC and ABD<br />Part 4<br />1) Give the exact value of the area of ABD then that of ACD<br />2) Complete with the exact value then approximate: area of ABD =<br />X area of ACD
What is .087% of $550
Answer:
0.4785
Step-by-step explanation:
The perimeter of a rectangular lot is 190 ft. The width of the lot is 15 ft more than the length. What are the dimensions of the lot?
Answer:
The lot has length, 40 ft and width, 55 ft.
write and equation:
⚠️RSM HELP⚠️
y=|x| translated one unit downward
Answer:
y = |x| -1
Step-by-step explanation:
one unit downward would change the overall Y value by -1 unit
can someone please help me with this, will give brainliest :)
The table below gives the approximate distance from the sun for a few different planets.
is a fraction a term? If it's not a term, why is it that we can apply the distributive property to it? the distributive property only works for either terms, or addition and subtraction. a fraction is technically division, so why does it work? Please help!!!!!
No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.
A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.
The distributive property states that for any real numbers a, b, and c:
a × (b + c) = (a × b) + (a × c).
When working with fractions, we can apply the distributive property as follows:
Let's consider the expression: a × (b/c).
We can rewrite this as: (a × b)/c.
Now, let's distribute the 'a' to 'b' and 'c':
(a × b)/c = (a/c) × b.
In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.
Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.
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This is for a p e x and I don’t understand
Answer:
ya cant even see it
Step-by-step explanation:
The orbit of a comet in a video game can be defined by the equation (x - 56)^2/150 + (y - 28)^2/256 = 1. Which of the following is true about the path of the comet on the screen?
Check all that apply.
The major axis is horizontal.
The center is at (–56, –28).
The length of the major axis is 32 units.
The length of the minor axis is 150 units.
One of the foci is approximately .
Answer:
C & E
Step-by-step explanation:
Answer:
C.) The length of the major axis is 32 units.
E.) One of the foci is approximately
Step-by-step explanation:
Lisa wants to buy a new boat but needs money for the down payment. Her parents agree to lend her money at an annual rate of
6%, charged as simple interest. They lend her $3000 for 6 years. She makes no payments except the one at the end of that time.
The amount of interest that Lisa will pay over the 6 years is $1080.
As per data,
The amount borrowed is $3000. Lisa is given 6 years to pay it back. The annual interest rate charged is 6%. The amount of interest that Lisa will pay over the 6 years.
It is given that the loan is charged at 6% simple interest per annum.
So, the interest rate per month will be:
6/12 = 0.5% For 6 years,
The number of months is:
6 x 12 = 72.
So, the interest rate for the entire period of 6 years will be:
72 x 0.5% = 36%
This means that Lisa will have to pay
$3000 + (36% of $3000) as interest after 6 years.
= $3000 + $1080
= $4080
Thus, the amount of interest is $1080.
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Joe has 10 bills in his wallet. The total amount of money is $34, and he has only $1 and $5 bills. If Joe has two more $5 bills than $1 bills, find the number of each type of bill that he has in his wallet. Use a system of equations to find the answer.
Answer:Joe would have 40$
he will have 7 5 dollar bills and 5 1 dollar bills
studies show that massage therapy has a variety of health benefits and it is not too expensive. a sample of 10 typical one-hour massage therapy sessions showed an average charge of $55. the population standard deviation for a one-hour session is
We can calculate the sample standard deviation. The sample standard deviation provides an estimate of the population standard deviation.
To determine the population standard deviation for a one-hour massage therapy session, we need more information than what is provided. The sample average charge of $55 for a one-hour session is not sufficient to calculate the population standard deviation. The population standard deviation measures the variability of the entire population, not just the sample. To calculate it, we would need access to the charges of all one-hour massage therapy sessions in the population.
However, based on the given information, we can calculate the sample standard deviation. The sample standard deviation provides an estimate of the population standard deviation. If the sample standard deviation is small, it suggests that the population standard deviation is also likely to be small. But without additional data or the actual population charges, we cannot determine the population standard deviation for a one-hour massage therapy session.
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Tina mailed a package in a container shaped like a
rectangular prism. The dimensions of the container
are shown in the diagram.
A. 65 1/6 in.3
B. 20 2/3 in.3
C. 293 1/4 in.3
D. 224 1/4 in.3
ILL GIVE BRAINLIEST PLEASE HELP
Answer: the answer is 293 1/4. 3
Step-by-step explanation:
Answer: C 293 1/4 in.3
Step-by-step explanation:
what are numerical or verbal descriptions that usually result from measurements of some sort?
The numerical or verbal descriptions that usually result from measurements are called data or observations.
When measurements are conducted, whether in scientific experiments, surveys, or other data collection processes, the outcome is typically a set of data or observations.
These measurements can be represented numerically, such as numerical values or quantities, or verbally, using descriptive terms or categories.
Numerical descriptions provide precise quantitative information, such as measurements of length, weight, temperature, time, or any other measurable attribute. These measurements are often expressed using numbers or units of measurement.
Verbal descriptions, on the other hand, use words or qualitative descriptions to convey information about the observations.
For example, when conducting a survey, respondents might provide verbal responses that describe their opinions, preferences, or experiences.
Both numerical and verbal descriptions play important roles in data analysis and interpretation.
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