The probability of both free throws is 0.7921, at least one free throw is 0.9889, missing both free throws is 0.0121. 58% of his free throws is a better strategy as it results in a higher probability of missing at least one free throw.
The probability of making one free throw is 0.89. Therefore, the probability of making both free throws is: 0.89 * 0.89 = 0.7921 (rounded to 2 decimals).
The probability of missing one free throw is 1 - 0.89 = 0.11. Therefore, the probability of making at least one free throw is: 1 - 0.11 * 0.11 = 0.9889 (rounded to 2 decimals).
The probability of missing one free throw is 0.11. Therefore, the probability of missing both free throws is: 0.11 * 0.11 = 0.0121 (rounded to 2 decimals).
For the worst free-throw shooter who makes 58% of his free throws:
The probability of making both free throws is: 0.58 * 0.58 = 0.3364 (rounded to 4 decimals).
The probability of making at least one free throw is: 1 - 0.42 * 0.42 = 0.8236 (rounded to 2 decimals).
The probability of missing both free throws is: 0.42 * 0.42 = 0.1764 (rounded to 4 decimals).
For the player who makes 89% of his free throws:
The probability of making both free throws is: 0.89 * 0.89 = 0.7921 (rounded to 4 decimals).
The probability of making at least one free throw is: 1 - 0.11 * 0.11 = 0.9889 (rounded to 2 decimals).
The probability of missing both free throws is: 0.11 * 0.11 = 0.0121 (rounded to 4 decimals).
Therefore, intentionally fouling the player who makes 58% of his free throws is a better strategy as it results in a higher probability of missing at least one free throw.
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help plssssssssssssssssssss
Answer: look at the image for the answer and solution
Step-by-step explanation:
ANSWER QUICK!! I WILL GIVE BRAINLIEST!!!!!!!!!!!
The barber cuts 61 haircuts in 4 days. Determine the rate for a ratio of the two different quantities.
61 over 65 haircuts per day
4 over 65 haircuts per day
4 over 61 haircuts per day
61 over 4 haircuts per day
Answer:
61 over 4 haircuts per day
What is a ratio?
A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
A way to solve for the number of haircuts per day is to use this equation:
total number of haircuts ÷ number of days = haircuts per dayYou could also use this fraction:
[tex]\frac{total-number-of-haircuts}{number-of-days}[/tex]Inserting the numbers into the fraction::
[tex]\frac{61}{4}[/tex]Therefore, the rate for a ratio using the two different quantities is 61 over 4 haircuts per day.
What is the length of the other diagonal, df? 5 cm 16 cm 21 cm 32 cm
Referring to the given kite, the length of the other diagonal. DF, is 21 cm.
A kite is a quadrilateral shape, meaning it has four sides. The two pairs of adjacent sides are of equal length, while the opposite sides are not.
The shape of a kite is typically described as having two pairs of congruent adjacent sides that are connected by two diagonal lines that intersect at a right angle. The diagonal lines of a kite are perpendicular to each other, and the shorter diagonal bisects the longer diagonal.
Let's denote the point of intersection of the two diagonals as O.
Since the two diagonal intersect at a right angle, diagonal DF is perpendicular to diagonal EG.
DG = 13 cm
FG = 20 cm
OG = 1/2 EG = 1/2 x 24 = 12 cm
Using the Pythagorean Theorem:
OD = √(DG² - OG²)
= √(13² - 12²) = 5 cm
OF = √(FG² - OG²)
= √(20² - 12²) = 16 cm
DF = OD + OF
= 5 + 16 = 21 cm
The picture in your question is missing, most likely it was like on the attached picture.
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Answer: c
Step-by-step explanation: I got it right
Write the expression as a square monomial
0.16x^2y^2
Answer: (____)^2
Answer:
0.0256x^4y^4
Step-by-step explanation:
Say you have a 92% in a class and you do 2 assignments and they are both worth 50% of your grade. And you get a 2/5 on one of them and a 5/5 on the other. Whats the resulting grade?
Answer:
70%
Step-by-step explanation:
I need help on this and it’s my last one please help
The number line is completed and attached.
What is a number line?A number line is a straight line that extends in both directions and is used to represent numbers. It is often used to visually demonstrate the relationships between numbers, including ordering and magnitude.
The number line is arranged in steps of 1/4 (fraction) or 0.25 (decimal), this represents the smallest tick marks
The medium sized marks represents the 0.5 line while the largest line mark represents the benchmark numbers chosen suitable to suit the numbers.
The negative part of the number line are numbered with the zero mark.
numbers like 1/8 (or 0.125) are converted to decimal and falls half way between each marked line.
2² = 4 and this is a benchmark number.
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In a group of 62 people 27 like cold tea while 42 like hot tea how many people like neither of the two
What percent of Jemma's answers did she get incorrect?
If Jemma got 2 out of 20 questions wrong on her most recent math quiz, then the incorrect percent is 10% .
Total number of questions in the Math's quiz is = 20 ;
Number of incorrect questions done by Jemma is = 2 ;
Number of correct questions done by Jemma are = 18 ;
So , to find the percentage she got incorrect, we divide ; (number of incorrect answers) by (total number of questions) and then multiply by 100 ;
that means ⇒ (2/20) × 100 = 10% ;
Therefore, Jemma got 10% of the questions incorrect on her most recent math quiz.
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The given question is incomplete , the complete question is
If Jemma got 2 out of 20 questions wrong on her most recent math quiz, what percent did she get incorrect ?
Complete the table below treat each row has a different problem.
Important : the last row is sector area (a)
The different values in the row of the table are: 1. l = 2π²r/ 2160, A = π²r²/ 2160. 2. α = 60/r and sector area A = πr/60.
What is sector?The sector is essentially a section of a circle, and it may be described using the following three criteria:
The area of a disc that is surrounded by two radii and an arc is known as a circular sector.
The circle is divided into the Major Sector and the Minor Sector by a sector.
The region with a lesser extent is referred to as the Minor Sector, whereas the territory with a larger area is referred to as the Major Sector.
Given that,
Central angle = [tex]\frac{\pi}{6}[/tex].
The arc length is given as:
l = α/360 (2πr)
Where, α is the central angle.
Substitute the value of central angle we have:
l = (π/6)/360 2πr
l = 2π²r/ 2160
The sector area is given as:
A = α/360 πr²
A = (π/6)/360 πr²
A = π²r²/ 2160
Similarly, the arc length is given as:
l = π/3
Substituting the value of l in arc length we have:
π/3 = α/360 (2πr)
α = 360(π)/ 6πr
α = 60/r
The sector area is given as:
A = α/360 πr²
A = (60/r) 360 πr²
A = πr/60
Hence, the different values in the row of the table are: 1. l = 2π²r/ 2160, A = π²r²/ 2160. 2. α = 60/r and sector area A = πr/60.
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Two adjacent angles form an obtuse angle. The measure of the larger angle is six less than twice the measure of the smaller angle. Which is a possible measure for the smaller angle?
Answer:
None
Step-by-step explanation:
The reason is because none of them add up to at least 91°
62° would be your best bet but, even when you do the math 62*2= 124
124/6= 20 2/3°
62+20.66...= 82.666...
82.6666...<91°
what is 13 over 16 as a decimal rounded to the nearest tenth
13/16 as a decimal rounded to the nearest tenth is 0.8.
A decimal is a way to represent the same thing but in a different form. In this case, we will convert the fraction 13/16 into a decimal and round it to the nearest tenth.
To convert a fraction to a decimal, we divide the numerator (top number) by the denominator (bottom number). In this case, 13 divided by 16 is equal to 0.8125. This means that 13/16 as a decimal is 0.8125.
To round a decimal to the nearest tenth, we look at the digit in the hundredths place (the second digit after the decimal point).
If this digit is 5 or greater, we round up the tenths place (the first digit after the decimal point). If it is less than 5, we leave the tenths place as is. In this case, the digit in the hundredths place is 2, which is less than 5.
Therefore, we leave the tenths place as is, and the final answer is 0.8.
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Zoe ran a lemonade stand 5 times last summer. The numbers of lemons needed depended on
the number of customers each time
The standard deviation of the number of lemons used is equal to 14.7.
How to calculate the mean?Mathematically, the mean for these set of data would be calculated by using this formula:
Mean = [F(x)]/n
F(x) = 47 + 45 + 61 + 44 + 16
F(x) = 213.
Mean = 213/5
Mean = 42.6
Next, we would calculate the standard deviation of this data set by using this formula:
SD = √(1/n × ∑(xi - u₁)²)
SD = √(1/5 × (47 - 42.6)² + (45 - 42.6)² + (61 - 42.6)² + (44 - 42.6)² + (16 - 42.6)²)
Standard deviation, SD = √(1073.2/5)
Standard deviation, SD = 14.7.
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4 women and 5 men are eligible to be in a committee of three. find the probability that the committee has exactly two woman.
The probability that the committee has exactly two woman is 0.1758.
Probability determines the likelihood of an event occurring: P(A) = f / N. Odds and probability are related but odds depend on the probability. You first need probability before determining the odds of an event occurring.The ratio of the favorable outcomes to the all possible outcomes.
Given that, 4 women and 5 men are eligible to serve on a committee.
A committee of 3 is randomly selected.
Choosing 2 women out of 3 women is
³[tex]C_{2}[/tex]
= 3
Choosing 1 men out of 5 men is
5C1
= 5
Total number of eligible person is = (4+5)=9
Choosing 3 member out of 9 member is
9C3
=84
The required probability is
=3*5/84
0.1785
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Some wooden chest in a store. A green chest has a length out 165cm a width of 70cm and a height of 10cm. If another box, a blue box is proportional in size, what is is length if it's width is 18cm
The blue box measures about 641.667 cm in length.
What do length and width mean?The width and length of a figure indicate its breadth and length, respectively. The term "breadth" is also used to describe width. Although breadth and width are synonymous (thus the idiom hair's breadth, denoting a very small width), there are two significant differences between the two.
We are aware that the blue box's width is 18 cm, which is smaller than the green box's width (70cm).
As a result, the value of "k" must be lower than 1. By creating a proportion, we can determine the value of "k":
width of green box / width of blue box = k
70 / 18 = k
k = 70/18
k ≈ 3.8889
So the factor "k" is approximately 3.8889. To find the length of the blue box, we can use this factor to scale the length of the green box:
length of blue box = k * length of green box
length of blue box = 3.8889 * 165cm
length of blue box ≈ 641.667cm
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Ticket lines are huge around the Colossal Arena. The Boulders, one of the most popular rock groups ever, are giving a concert on Saturday. When the tickets went on sale Monday, 500 were sold in the first hour, 560 tickets were sold in the second hour, and 640 tickets were sold in the third hour. After the second hour, the increase in ticket sales every hour was 20 more than the increase of the previous hour. If sales continue at that rate, in what hour will 10,000 tickets be sold for the Boulders concert?Explain your answer in detail
If after the second hour, the increase in ticket sales every hour was 20 more than the increase of the previous hour, it will take 12 hours to sell 10,000 tickets for the Boulders concert.
To solve this problem, we need to find the number of hours it will take to sell 10,000 tickets for the concert. We are given the number of tickets sold in the first three hours and the rate at which ticket sales increase each hour after the second hour.
Let's denote the number of tickets sold in the fourth hour by "x". Then, the number of tickets sold in the fifth hour will be "x + 20", and the number of tickets sold in the sixth hour will be "x + 40", and so on.
Using this information, we can set up an equation to find "x":
500 + 560 + x + (x + 20) + (x + 40) + ... = 10,000
Simplifying the equation, we get:
3x + 1020 + 20n = 9500
where "n" is the number of hours after the third hour.
Solving for "n", we get:
n = (10,000 - 1020 - 3x) / 20
Now, we need to find the value of "x" that satisfies this equation. We can do this by testing different values of "x" until we find the one that gives an integer value for "n".
Let's start by trying "x = 640 + 20 = 660". Plugging this value into the equation, we get:
n = (10,000 - 1020 - 3(660)) / 20 = 9
We arrived at this solution by using the given information about the rate of increase in ticket sales and setting up an equation to solve for the number of hours it will take to sell 10,000 tickets. We then tested different values of "x" until we found the one that satisfied the equation and gave an integer value for "n".
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The function V(r) = ²³
can be used to find the volume of air inside a basketball given its radius. What does V(r)
represent?
The function V(r) is representing the volume of basketball when the radius is r.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that, the function V(r) = 4/3 πr³, can be used to find the volume of air inside a basketball given its radius (r).
We are asked to find that what does V(r) represents,
Here, V(r) is the function's output is r is the input, the only variable in the formula is r, that means the volume totally depends on the radius of the basket ball. & volume is changes with the radius.
Thus, this function represents the volume of the basketball when radius is r.
Hence, the function V(r) is representing the volume of basketball when the radius is r.
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A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students. Ice Cream Candy Cake Pie Cookies 81 9 72 36 27 Which statement is the best prediction about the slices of pie the college will need? The college will have about 480 students who prefer pie. The college will have about 640 students who prefer pie. The college will have about 1,280 students who prefer pie. The college will have about 1,440 students who prefer pie.
Answer:480
Step-by-step explanation
Adding and subtracting rational expressions, What is the difference? 2x+5/x^2-3x - 3x+5/x^3-9x - x+1/x^2-9?
After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9 .
We first simplify each expression inside the parentheses :
that means :
⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;
⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³) ;
⇒ (x + 1/x² - 9) = (-9 + x + 1/x²) ;
Now we substitute these expressions into original equation/expression :
we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)
Simplifying further ,
we get ;
⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x² ;
On Combining the like terms, we get ;
⇒ 4x - 4/x² - 5/x³ + 9
Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.
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The given question is incomplete , the complete question is
Adding and subtracting rational expressions, Simplify the rational expression (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9) .
I nee help with this
Answer: MHT = 125; AHM = 55
Step-by-step explanation:
(2x + 11) + (6x - 7) = 180 since they are supplementary angles
8x + 4 = 180 ---- subtract 4 on both sides
8x = 176 ---- divide by 8 on both sides
x = 22
MHT = 6x - 7
6(22) - 7 = 132 - 7 = 125
AHM = 2x + 11
2(22) + 11 = 44 + 11 = 55
A candy store sells a brand of nuts that costs $2 per pound and a brand of chocolate coated candies that costs $0.95 per pound. Select the equation that solves for x lb of nuts that must be mixed with 32 lb of the chocolate coated candies in order to have a mixture that costs 1.48 per pound.
A. 2x + 0.95(32) = 1.48x
B. 2x + 0.95(32) = 1.48(x + 32)
C. 0.95x + 2(32) = 1.48(x + 32)
D. 0.95x + 2(32) = 1.48x
E. none of these
We know that the store sells nuts for $2 per pound and chocolate for $0.95 per pound. We also know that x represents the total pounds of nuts, and 32 represents the total pounds of chocolate.
In order to write an equation that represents a mixture that costs $1.48 per pound, we first need to find an expression to represent the total pounds in this situation, which would be (x + 32).
Now that we have this, let's just combine everything we know into one equation:
2x + 0.95(32) = 1.48(x + 32)
Therefore, the correct answer choice is option B.
Determine whether segments with lengths of 29, 19, and 29 form a triangle. If so, classify the triangle as acute, right, or obtuse.
Answer:
if the angle has the arrow on top pointing straight up thats a right angle if it is leaning towards the left instead it is obtuse and if is getting closer to the right side it is acute.
Step-by-step explanation:
i can't tell you anything else if there is no picture to base this question.
Pls show your work thank you will mark the Brainliest
Answer: A
Step-by-step explanation: There isn't much work to be shown here, however you can look at graphical patterns to get your answer. It says the initial value is $200000 so you can eliminate B and D because they start at $100000. That leaves A and C. C is increasing at a higher rate and is greater than 100% per year. That leaves option A.
helpppppppppppppppppppppp
Answer:
X Y
2 1
4 7
5 10
Step-by-step explanation:
SOLVING EQUATIONS Solve the equation. Check your solution.
50. y+4-1 = 18
52. v-7= 9+12
St 53.5+44=2+r
51. m+ 18+ 23 = 71
54. 22 +15=d-17
The solution of the equation are as follows:
y = 15
v = 28
r = 95.5
m = 30
d = 54
How to solve equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =. The equation can be solved by finding the value of the variables.
A variable is a number represented with letter in an equation.
Therefore, let's solve the equation.
y + 4 - 1 = 18
y = 18 - 4 + 1
y = 15
v - 7 = 9 + 12
v = 12 + 9 + 7
v = 28
53.5 + 44 = 2 + r
r = 53.5 + 44 - 2
r = 95.5
m + 18 + 23 = 71
m = 71 - 18 - 23
m = 30
22 + 15 = d - 17
d = 22 + 15 + 17
d = 54
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Which function has a simplified base of 4RootIndex 3 StartRoot 4 EndRoot?
f(x) = 2(RootIndex 3 StartRoot 16 EndRoot) Superscript x
f(x) = 2(RootIndex 3 StartRoot 64 EndRoot) Superscript x
f(x) = 4(RootIndex 3 StartRoot 16 EndRoot) Superscript 2 x
f(x) = 4(RootIndex 3 StartRoot 64 EndRoot) Superscript 2 x
The function that has a simplified base of (4∛4) is 4(∛16[tex])^({2x)[/tex].
What is Exponential Function?Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.
From the general formula of an exponential function, we know that;
f(x) = a[tex](b)^x[/tex]
Now, we have;
f(x) = (4∛4[tex])^x[/tex]
4(∛16[tex])^({2x)[/tex], the base is (∛16)²
(∛16)²
= √(16^(⅔))
=256^(⅓)
= 4∛4
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Answer:
C.
Step-by-step explanation:
Took the test. :)
consider a variable computed as the number of students in each state who attend college in the state divided by the total number of students from the state who attend college. explain how you would use this variable to describe something about the states.
Option b. This would tell you the proportion of students who attend college in their home state. A large proportion means that students prefer to attend college in their home state and a small proportion means that students prefer to attend college in a different state.
The variable computed as the number of students in each state who attend college in the state divided by the total number of students from the state who attend college can provide insights into students' preferences for attending college in their home state. A large proportion of students who attend college in their home state indicates that students prefer to stay close to home for higher education, while a small proportion suggests that they are more likely to attend college in a different state. This information can be useful for policymakers and educators to better understand the higher education preferences of their state's students and to develop policies and programs to encourage more students to attend college within their home state.
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Complete question:
The U.S. Census Bureau collects a large amount of information concerning higher education. For example, the bureau provides a table that includes the following variables: state, number of students from the state who attend college, number of students who attend college in their home state.
Consider a variable computed as the number of students in each state who attend college in the state divided by the total number of students from the state who attend college. Explain how you would use this variable to describe something about the states.
a. This would tell you the proportion of the state’s population that attend college in their home state. A large proportion means that less of the state’s population attend college while a small proportion means that more of the state’s population attend college.
b. This would tell you the proportion of students who attend college in their home state. A large proportion means that students prefer to attend college in their home state and a small proportion means that students prefer to attend college in a different state.
c. This would tell you the proportion of students who attend college in their home state. A large proportion means that students prefer to attend college outside their home state and a small proportion means that students prefer to attend college in their home state.
d. This would tell you the proportion of the state’s population that attend college in their home state. A large proportion means that more of the state’s population attend college while a small proportion means that less of the state’s population attend college.
A line contains the points P (-1, 4) and Q (-4, -2). Write the equation of the line in the slope-intercept form.
A.y = 2x + 6
B.y = 6x + 2
C.y = 3x - 4
D.y =2x + 2
Answer:
Step-by-step explanation:
Given points are P(-1,4) and Q(-4,-2)
we know that slope m between two points (x1,y1) and (x2,y2) is m=y2-y1/x2-x1
so,slope m between points P and Q is m=-2-4/-4-(-1)
m=-6/-3
m=2
Now,we know that equation of line
with slope m having points (x1,y1) and (x2,y2) is y-y1=m(x-x1)
so equation of line between P and Q is y-4=2(x+1)
y-4=2x+ 2
y=2x+6
(-2, 2) and (4, -1) lie on a line, what is the equation of the line?
As (-2, 2) and (4, -1) lie on a line the equation of the line is: y = (-1/2)x + 1
We can use the slope-intercept form of a linear equation,
which is y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope of the line using the two given points. The slope formula is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Plugging in the values, we get:
m = (-1 - 2) / (4 - (-2)) = -3/6 = -1/2
Now we have the slope (m = -1/2), and we can use either of the two given points to find the y-intercept (b).
Let's use the first point (-2, 2):
y = mx + b
2 = (-1/2)(-2) + b
2 = 1 + b
b = 1
So the equation of the line is:
y = (-1/2)x + 1
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There are 5 slices of pepperoni pizza, 1 slice of sausage pizza, and 3 slices of cheese pizza left. Without looking, Douglas took a slice of pizza, ate it, and then took another slice.
What's the probability of Douglas eating two of the same kinds of pizza?
PLEASE GIVE BRAINLIEST!
thank you and have a good day, I hoped this helps :)
Answer:
1/12
Step-by-step explanation:
To calculate the chances of Douglas eating one slice of cheese pizza
3/(5+3+1) = 1/3
To calculate the odds of him eating another cheese pizza slice
2/(5+2+1) = 1/4
To calculate the odds of Douglas eating the same two kinds of pizza
1/4 times 1/3
there you go! :)
the mayor of a small city is trying to determine the number of judges needed to handle the judicial caseload. during each month of the year it is estimated that the number of judicial hours needed is provided in the table below. a). each judge works all 12 months and can handle as many as 120 hours per month caseload. to avoid creating a backlog all cases must be handled by the end of december. formulate an lp whose solution will determine how many judges the city needs to handle the caseload for the year.
Total hours handled by x judges in the year ≤ 12120x where x is the number of judges needed to handle the caseload for the year.
To formulate an LP for this problem, we can define the decision variables and the objective function and constraints.
Decision Variables:
Let x be the number of judges needed by the city to handle the caseload for the year.
Objective Function:
We want to minimize the number of judges needed, so our objective function is:
minimize x
Constraints:
Each judge can handle up to 120 hours of caseload per month, so the total number of hours that can be handled by x judges in a month is 120x. The total number of hours needed to handle the caseload for the year is given in the table. Therefore, we have the following constraints:
For January: 120x ≥ 100
For February: 120x ≥ 120
For March: 120x ≥ 90
For April: 120x ≥ 80
For May: 120x ≥ 110
For June: 120x ≥ 130
For July: 120x ≥ 140
For August: 120x ≥ 110
For September: 120x ≥ 100
For October: 120x ≥ 90
For November: 120x ≥ 80
For December: 120x ≥ 120
These constraints ensure that the total number of hours handled by the judges in each month is at least as much as the number of hours needed to handle the caseload in that month.
We also need to ensure that all cases are handled by the end of December. This can be expressed as follows:
Total hours handled by x judges in the year ≤ 12120x
This constraint ensures that the total number of hours handled by the judges in the year is less than or equal to the maximum possible number of hours that can be handled by x judges in a year.
Therefore, the LP can be formulated as follows:
minimize x
subject to:
120x ≥ 100
120x ≥ 120
120x ≥ 90
120x ≥ 80
120x ≥ 110
120x ≥ 130
120x ≥ 140
120x ≥ 110
120x ≥ 100
120x ≥ 90
120x ≥ 80
120x ≥ 120
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