Analysis of Jake's free-throw data shows that it is positively skewed, indicating that he most frequently scores around 17-18 points per game, with fewer games with lower scores.
Explanation:To visualize and understand Jake's free-throw data, we can create a histogram. First, we'll list the range of shots made per game. These are: 8, 9, 10, 11, 12, 15, 16, 17, 18, and 19. Then, for each number, count how many times it occurs in the data set. The distribution could look something like this:
8: •9: •10: •11: •12: •15: ••16: •17: •••••18: ••••19: •Based on this distribution, the shape of the data is positively skewed, with most of the data clustered around 17-18 points per game, and fewer games with lower scores.
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P is in the shape of a circle.
Q is in the shape of a quarter circle of radius 20 cm.
·
The area of Q is 4 times the area of P.
Work out the radius of P.
You must show all your working.
20 cm
+
Note: Make your final answer clear by writing r = ...
Total marks: 3
The radius of the circle P is 20 centimetres.
How to find radius of a circle?P is in the shape of a circle. Q is in the shape of a quarter circle of radius 20 cm.
The area of Q is 4 times the area of P. Therefore, the radius of circle P can be found as follows:
area of circle Q = πr² / 4
area of circle Q = 3.14 × 20² ÷ 4
area of circle Q = 3.14 × 400 / 4
area of circle Q = 314 cm²
Therefore,
Hence,
area of circle p = πr²
4(314) = 3.14 × r²
r² = 1256 / 3.14
r = √400
r = 20 cm
Therefore, the radius of the circle P is 20 cm.
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Write the equation of the exponential function that has a y-intercept of 3 and a growth factor of 1.25.
The equation of the exponential function that has a y-intercept of 3 and a growth factor of 1.25 will be y = a(1.25)ˣ + 3.
Given that:
y-intercept, c = 3
Growth factor, r = 1.25
The exponent is given as,
y = a(b)ˣ + c ...1
Put b = 1.25 and c = 3 in equation (1), then
y = a(1.25)ˣ + 3
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The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 16 years; the standard deviation is 1.7 years. Use the empirical rule (68−95−99.7%) to estimate the probability of a gorilla living between 14.3 and 19.4 years.
The probability that a gorilla in this particular zoo will live between 14.3 and 19.4 years is 86% (or 0.86)
Understanding Normal DistributionFrom the Empirical Rule, for a Normal Distribution, approximately:
68% of the data falls within one standard deviation of the mean
95% of the data falls within two standard deviations of the mean
99.7% of the data falls within three standard deviations of the mean
To estimate the probability of a gorilla living between 14.3 and 19.4 years, we first need to standardize these values by subtracting the mean and dividing by the standard deviation:
For 14.3 years: (14.3 - 16) / 1.7 = -1.18
For 19.4 years: (19.4 - 16) / 1.7 = 2
Now we can use a standard normal distribution table to find the probabilities associated with these z-scores:
The probability of a gorilla living less than 14.3 years is approximately the same as the probability of a standard normal variable being less than -1.18, which is about 0.12.
The probability of a gorilla living less than 19.4 years is approximately the same as the probability of a standard normal variable being less than 2, which is about 0.98.
Therefore, the probability of a gorilla living between 14.3 and 19.4 years is approximately the difference between these two probabilities: 0.98 - 0.12 = 0.86.
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Discussion Topic How and what you spend your money on affects the tax deductions and credits that you're eligible for. Visit the IRS website to see descriptions of the various tax credits and tax deductions currently offered. If you could propose a tax credit or a deduction for an expense that isn't currently on the list, what would it be? Would you propose it as a credit or a deduction? Why you think individuals should receive a credit or deduction for this expense?
An attractive tax credit or deduction that can be considered is a reward for those who expend in renewable energy sources, such as solar power systems, wind turbines, or geothermal technology.
The credit or deduction for this expense?This payment can take the form of a tax credit, awarding taxpayers with a dollar-for-dollar payoff to lessen their tax debt for the year they initiated the investment.
These investments in green energy assets facilitate diminishing greenhouse gases emissions, providing ecological welfares by dropping one's carbon footprint. Moreover, this spending can lower an individual’s obligation on traditional energy options, economizing them long term on utility costs. In turn, supplying these incentives encourages people to invest in recyclable energy resources, ultimately leading to a decrease in global climate change elements alongside propelling the globe into a more sustainable future.
Overall, any brand new regulation on taxation allowance needs to bear mindful inspection by assembly members, carefully examining financial and revenue implications.
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solve the set question
this question answer is 180
yes, the answer is actually 180
Will mark brainliest.
The value of z in the intersected secant and tangent is 57 degrees.
How to find angles between secant and tangent intersection?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
A secant touches two point on a circle while a tangent touches one point on a circle.
Therefore,
z = 1 / 2 (156 - 42)
z = 1 / 2 (114)
z = 114 / 2
z = 57 degrees
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Harriet has 6 crates of watermelons. Each crate alone weighs 17.8 pounds and contains between 32 and 36 watermelons. The weight of each watermelon is between 3.9 and 4.3 pounds. Give the range of weights that one crate could weight.
The range of weights that one crate could weigh is between 127.6 and 154.8 pounds.
Harriet has 6 crates of watermelons.
Each crate alone weighs 17.8 pounds and contains between 32 and 36 watermelons.
The weight of each watermelon is between 3.9 and 4.3 pounds.
One crate of watermelons could weigh between 127.6 pounds
(6 crates x 32 watermelons x 3.9 pounds per watermelon + 17.8 pounds crate weight) and
154.8 pounds (6 crates x 36 watermelons x 4.3 pounds per watermelon + 17.8 pounds crate weight).
Therefore, the range of weights that one crate could weigh is between 127.6 and 154.8 pounds.
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Need the correct answer asap!!
The measures of angles 1 and 2 are:
m∠2 = 135°m∠1 = 45°How to find the measures of angles 1 and 2?The two lines that go upwards are parallel lines, that means that angles 2 and the 135° one are alternate inverse angles, then these have the same measure:
m∠2 = 135°
And angle 2 and 1 are adjacent, then their measures add up to 180°, this means that:
135° + m∠1 = 180°
Solving that equation for the measure of angle 1 we will get:
m∠1 = 180° - 135° = 45°
These are the measures of the two angles we wanted.
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What will a down payment on a loan accomplish?
A down payment on a loan is a payment made upfront by the borrower to reduce the amount of the loan.
The purpose of a down payment is to lower the overall cost of the loan and to reduce the lender's risk.
When you make a down payment on a loan, the amount you owe on the loan is reduced by that amount.
A down payment also reduces the lender's risk.
When you make a down payment, you are showing the lender that you are committed to repaying the loan.
If you default on the loan, the lender will be able to recoup some of their losses by selling the collateral (the car, in this example) that was used to secure the loan.
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The spinner below shows 5 equally sized slices. Mal spun the dial 1000 times and got the following results.
Outcome White Grey Black
Number of Spins 389 406 205
Fill in the table below. Round your answers to the nearest thousandth.
The experimental probability that the next spin falls in a black region is given as follows:
0.205 = 20.5%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:
p = 205/1000
p = 0.205.
p = 20.5%.
Missing InformationThe problem asks for the experimental probability that the next spin falls in a black region.
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Which ones right ????
y=970(0.51)^x percentage of change
Answer:
The equation Y=970(0.51)^x represents the percentage of change over time. As x increases, Y decreases due to the exponentiation of 0.51. This means that the percentage of change is decreasing over time.
For example, if we plug in x=1, the equation outputs Y=495.7, which represents a 49.43% decrease from the initial value of 970. As x continues to increase, the percentage of change decreases, approaching 0% but never quite reaching it.
Overall, this equation can be used to model a variety of situations where there is a gradual decrease in the percentage of change over time.
can someone please answer 2v+7=3 in TWO steps?
Answer:
v = -4
Step-by-step explanation:
2v + 7 = 3
Subtract 7 on both sides
2v = -4
Divided by 2 both sides
v = -4
Mrs. Gable bought 7 5/6 gallons of punch for the class party the students drink 4 1/2 gallons of punch how much punch was left at the end of the party?
Answer:
5/6 - 4 1/2 = 10/3 = 3 1/3
Step-by-step explanation:
their was 10/3 punch left its also equivalent to 3 1/3
The average individual in a country earns an annual salary of $82,000, of which
$32,800 is spent on housing, $14,760 on food, $14,760 on transportation, and $19,680
on other goods and services. Suppose the government in this country mandates that
all salaries and the prices of all goods and services be reduced by 40 percent.
Instructions: Enter your answers as a whole number.
a. How much does the average individual now earn?
$
b. How much does the average individual now spend on housing, food, transportation,
and other goods and services?
Housing: $
Food: $
Transportation: $
Other goods and services: $
What happened to the average individual's real salary?
Answer:
a) $49,200
b)
Housing: $19,680
Food: $8,856
Transportation: $8,856
Other goods and services: $11,808
c) Average real salary is unchanged at $0
Step-by-step explanation:
Since salaries and expenses are reduced by 40% if any of the amounts was originally $x, the reduction is 40% of $x = 0.4x (1% = 1/100)
Therefore reduced value = original value - reduction amount
= x - 0.4x
= 0.6x
Applying this to the various dollar values provided will help us answer the questions
Real income before reduction
= Salary - expenses
= 82,000 - (32,800 + 14,760 + 14,760 + 19,680)
= 0
So the average individual real income is $0
a) How much does the average individual now earn?
New salary = 0.6 x old salary
= 0.6 x $82,000
= $49,200
b) How much does the average individual now spend on housing, food, transportation, and other goods and services?
Housing: 0.6 x $32,800 = $19,680Food: 0.6 x $14,760 = $8,856Transportation: 0.6 x $14,760 = $8,856Other goods and services: 0.6 x $19,680 = $11,808Total expenses after reduction = $19,680 + $8,856 + $8,856 + $11,808
= $49,200
Real income after reduction of salary and expenses
= $49,200 - $49,200 = 0
So the average salary stays the same at $0
Which expression is equivalent to 10 + 22? A. 2(5 + 22) B. 2(5 + 11) C. 5(2 + 22) D. 5(2 + 4)
Answer: B
Step-by-step explanation:
10 + 22 can be simplified by adding 10 and 22 to get:
10 + 22 = 32
Now, let's check each expression to see which one is equivalent to 10 + 22 = 32:
A. 2(5 + 22) = 2(27) = 54
B. 2(5 + 11) = 2(16) = 32 (This expression is equivalent to 10 + 12)
C. 5(2 + 22) = 5(24) = 120
D. 5(2 + 4) = 5(6) = 30
So, the expression that is equivalent to 10 + 22 is B. 2(5 + 11) = 32.
3. Ally has a piece of string that is 6 yards 2 feet long. How many inches of string does she have?
Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a. 3a2 + 2a - 7 into 27a4 + 18a2 - 2a + 42
The solution to the division is 9a² - 6a + 31 + [(-106a + 259)/(3a² + 2a - 7)].
We have to divide, 27 + 0a³ + 18a² - 2a + 42 by 3a² + 2a - 7.
So,
9a² - 6a + 31
3a² + 2a - 7 ║27 + 0a³ + 18a² - 2a + 42
-(27 + 18a³ - 63a²)
_________________
- 18a³ + 81a² - 2a
-(-18a³ - 12a² + 42a)
____________________
93a² - 44a + 42
-(93a² + 62a - 217)
-106a +259
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Suppose that you borrow $15,000 for three years at 5% toward the purchase of a car. Use to find the monthly payments and the total interest for the loan.
The monthly payment on the loan is $442.88 and the total interest on the loan is $1,405.68.
we need to calculate the monthly interest rate. Since the annual interest rate is 5%, we can divide by 12 to get the monthly interest rate:
r = 0.05 / 12 = 0.00417
Next, we need to calculate the total number of payments over the three-year period.
Since there are 12 months in a year, the total number of payments is:
n = 3× 12 = 36
Now we can plug in the values into the loan payment formula:
P = (15000 × 0.00417×(1 + 0.00417)³⁶) / ((1 + 0.00417)³⁶ - 1)
= $442.88
To calculate the total interest on the loan
we can multiply the monthly payment by the total number of payments and subtract the principal amount:
Total interest = (monthly payment × total number of payments) - principal amount
Total interest = ($442.88 × 36) - $15,000
= $1,405.68
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I don’t understand help!
To measure the bearing from A to B you can use the compass with the ruler.
To measure the bearing from B to A, place the thread from B to A, then place the compass and take you reading
What is the bearing?To degree the bearing from A to B, take after these steps:
Draw a straight line between focuses A and B.Place yourself so lightly that you are facing point B from point A.Then make use of a compass to decide the point between true north and the line between point A and B.Lastly the bearing from A to B is the point measured clockwise from genuine north to the line between focuses A and B, communicated in degrees. Do the same for bearing from B to A
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g(x) = f(x) h(x), f(2)= 6, h(2) = 2, h' (2) = 15, and f'(2) = 6. Find g' (2).
g(x)=f(x)=h(x)
Which linear function represents a slope of ? A two column table with five rows. The first column, x, has the entries, 3, 6, 9, 12. The second column, y, has the entries, negative 11, 1, 13, 25. A coordinate plane with a straight line with a positive slope passing through (0, 3), (4, 4), and (8, 7). A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8. A coordinate plane with a straight line with a positive slope passing through (2, 0), (3, 4), and (4, 8)
The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.
Which answer choice has a slope of -2?It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.
Since slope is the rate of change in y with respect to x;
The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;
Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.
Remarks: The complete question is such that the required slope is -2.
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Answer: the second option
Step-by-step explanation:
i took the assignment
5. Find Y.
Trapezoid Worksheet
Identify Which kind of trapezoid
Answer:
y = 28
Step-by-step explanation:
(20 + 5y + 4)/2 = 3y - 2
5y + 24 = 6y - 4
y = 28
adrián is walking 45 feet to school. He walks at a constant rate of 5 feet every 4 seconds. At that speed how many seconds does it take him to reach the school.
The number of second for Adrian to reach the school is A = 36 seconds
Given data ,
Let the speed of Adrian be 5 feet every 4 seconds
So , S = ( 5/4 ) feet/seconds
And , the distance to the school = 45 feer
So , the time taken by Adrian to reach the school is T
where T = distance / speed
T = 45 / ( 5/4 )
T = ( 45 / 5 ) x 4
T = 9 x 4 seconds
T = 36 seconds
Hence , the time is 36 seconds
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Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hour less than the other's. If they
meet in 4 hours, what is the rate of the slower car?
Do not do any rounding.
The rate of the slower car is 77km/hr
What is velocity?Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.
velocity = displacement/time
displacement = velocity × time
represent the faster car by v1 and the slower car by v2
v1 = v2+16
V2 = v1-16
Total displacement = 680km
680 =( v1+V2)t
680 = (v1+V2)4
v1+v2 = 680/4
v2+16+v2 = 170
2v2 = 170-16
2v2 = 154
v2 = 154/2
v2 = 77km/hr
therefore the rate of the slower car is 77km/hr
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Write the vector v in terms of i and j whose magnitude and direction angle are given.
||v|| = 5/6, theta = 113 deg
FIRST TO ANSWE GETS BRAINLIEST AND 5 STARS HELP NOW PLEASE
Chang has 2 shirts a white one and a black one. He also has 2 pairs of parts, one blue and one tan What is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show all
your work AND write your answer as a fraction, decimal, and percent.
Answer: The probability that Chang gets dressed with a white shirt and tan pants is 25%.
Step-by-step explanation:Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:
Each shirt = 50% chance Each pants = 50% chance 0.50 x 0.50 = X0.25 = X Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.
You spin the spinner twice.
6789
What is the probability of landing on a 9 and then landing on a number less than 8?
Write your answer as a percentage.
The probability of landing on a 9 and then landing on a number less than 8 is 1/8
Given that a spinner, spined twice, we need to find the probability of landing on a 9 and then landing on a number less than 8,
So,
Probability = favorable outcomes / total outcomes
Therefore,
Favorable outcomes = 1 and 2
Total outcomes = 4
So,
P(landing on a 9 and then landing on a number less than 8) = 1/4 x 2/4
= 1/4 x 1/2 = 1/8
Hence, the probability of landing on a 9 and then landing on a number less than 8 is 1/8
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Miguel plots points A, B, and C in the coordinate plane.
A. What is the distance between points A and B? Explain your reasoning.
B. Is (gif triangle) ABC an equilateral triangle? Explain your reasoning.
is △ABC equilateral? well, we dunno, however let's check for all sides' length.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}[/tex]
[tex]B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}[/tex]
well, not quite.
Which equation and solution can be used to solve this problem? Twenty-two less than a number is twenty-four. Group of answer choices q minus 22 = 24: Add 22 to both sides. The answer is 46. q + 22 = 24: Subtract 22 from both sides. The answer is 2. q minus 24 = 22: Add 24 to both sides. The answer is 46. 24 + q = 22: Subtract 22 from both sides. The answer is 2.
The solution to the problem is that the number is 46.
In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The equation that can be used to solve the problem is q - 22 = 24.
To solve this equation, we need to isolate q on one side of the equation.
q - 22 = 24
Adding 22 to both sides, we get:
q - 22 + 22 = 24 + 22
Simplifying, we get:
q = 46
Therefore, the solution to the problem is that the number is 46.
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