A nervous kicker usually makes 70% of his first field goal attempts. if he makes his first attempt, his success rate rises to 90%. what is the probability that he makes his first two kicks?
The probability that the kicker makes his first two kicks is 0.63, or 63%.
Let's denote the events:
A: The kicker makes his first kick
B: The kicker makes his second kick
Given:
P(A) = 0.7 (probability that the kicker makes his first kick)
P(B|A) = 0.9 (probability that the kicker makes his second kick given that he made his first kick)
To find the probability of both events A and B occurring (the kicker making his first two kicks), we can use the multiplication rule of probability:
P(A and B) = P(A) * P(B|A)
Substituting the given probabilities, we have:
P(A and B) = 0.7 * 0.9 = 0.63
Therefore, the probability that the kicker makes his first two kicks is 0.63, or 63%.
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The probability that the kicker makes his first two kicks is 0.63, or 63%.
Explanation:To find the probability that the kicker makes his first two kicks, we need to multiply the probabilities of each individual kick.
The kicker has a 70% chance of making his first kick, which means he has a 30% chance of missing it.
If the first kick is made, his success rate rises to 90%. So, the probability of making the second kick, given that he made the first kick, is 90%.
To find the probability of both kicks being made, we multiply the probability of making the first kick (0.7) with the probability of making the second kick given that the first kick was made (0.9).
0.7 * 0.9 = 0.63
Therefore, the probability that the kicker makes his first two kicks is 0.63, or 63%.
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Charlie drove 864 miles in 12 hours. at the same rate, how long would it take him to drive 504 miles?
A coin is tossed 10 times:
How many times do you expect to get heads?
How many times do you expect to get tails?
Final answer:
The expected number of heads and tails when tossing a coin 10 times is 5 each.
Explanation:
If you toss a coin ten times:
Expected number of heads: 5
Expected number of tails: 5
This is because for each toss, the probability of getting a head is 0.5 (50%) and the same for a tail. Over multiple tosses, the outcomes tend to approach these expected values.
Find the ratio of 1 feet. 4 inches. to 1 yard
The ratio of 1 foot 4 inches to 1 yard is 16:36 or 4:9.
To find the ratio of 1 foot 4 inches to 1 yard, we first need to convert both measurements to the same unit. Since there are 3 feet in a yard and 12 inches in a foot, we can express both measurements in inches.
1 foot is equivalent to 12 inches.
Therefore, 1 foot 4 inches is:
1 [tex]\times[/tex] 12 + 4 = 12 + 4 = 16 inches
Now, since there are 3 feet in a yard, and each foot has 12 inches, 1 yard is equivalent to:
3 [tex]\times[/tex] 12 = 36 inches
Now we have both measurements in inches, and we can set up the ratio:
16 inches: 36 inches
Therefore, the simplified ratio is:
16:36.
We can further simplify this ratio by dividing both numbers by 4:
(16/4):(36/4) = 4:9.
I really really need help with this question! PLEASE!
Write the following inequality in slope-intercept form. −6x + 2y ≤ 42
Answer: The required slope-intercept form is [tex]y\leq 3x+21.[/tex].
Step-by-step explanation: We are given to write the following inequality in slope-intercept form :
[tex]-6x+2y\leq 42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the slope-intercept form of an inequality of the given form is as follows :
[tex]y\leq mx+c,[/tex] where m is the slope and c is the y-intercept.
From inequality (i), we have
[tex]-6x+2y\leq 42\\\\\Rightarrow 2y\leq6x+42\\\\\Rightarrow y\leq\dfrac{6}{2}x+\dfrac{42}{2}\\\\\Rightarrow y\leq 3x+21.[/tex]
Thus, the required slope-intercept form is [tex]y\leq 3x+21.[/tex].
You need five liters of yoda soda for every 12 guests if you have 36 guests how many liters do you need
What is the slope of the line passing through the points (−3, 4) and (4, −1)?
35
−1
−57
3
Answer:
the answer is C. -5/7
What might a model for 3 x 3/5 look like? How many fifths would be shaded in all?
Two step equations
6=a/4+2
a =16 is the solution of the given equation.
To solve the equation 6 = a/4 + 2, we'll perform two steps to isolate the variable 'a'.
Step 1: Subtract 2 from both sides of the equation:
6 - 2 = a/4 + 2 - 2
4 = a/4
Step 2: Multiply both sides of the equation by 4 to get rid of the fraction:
4 * 4 = (a/4) * 4
16 = a
Therefore, the solution to the equation is a = 16.
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If a class has 10 men and 14 women what is the ratio of men to the class
The ratio of men to class is 0.41.
We have a class of 10 men and 14 women.
We have to find out what is the ratio of men to the class.
Is a : b same as [tex]\frac{a}{b}[/tex] ?Yes, a : b is same as [tex]\frac{a}{b}[/tex]. Here, ' a ' is called Antecedent and ' b ' is called Consequent.
In the question given -
Total number of men in the class , n(m) = 10
Total number of students in class, n(c) = 24
Ratio of men to class = [tex]\frac{n(m)}{n(c)}[/tex] = [tex]\frac{10}{24}[/tex] = 0.41
Hence, the ratio of men to class is 0.41.
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Final answer:
The ratio of men to the entire class of 10 men and 14 women is 5:12, simplified by dividing the numbers of men and total students by the greatest common divisor.
Explanation:
The question asks to find the ratio of men to the entire class. The class has a total of 10 men and 14 women, which means the class size is 10 (men) + 14 (women) = 24 students.
To calculate the ratio of men to the entire class, divide the number of men by the total number of students: Ratio = 10 (men) / 24 (students). This can be simplified by dividing both numbers by the greatest common divisor, which is 2, giving us a simplified ratio of 5 (men) to 12 (students).
The ratio of men to the class is therefore 5:12.
At a canning company the daily production cost, y, is given by the quadratic equation y = 650 – 15x + 0.45x2, where x is the number of canned items. What is the MINIMUM daily production cost?
A) $1,025.00 B) $1,186.25 C) $525.00 D) $536.25
Answer:
Option C) is correct
Step-by-step explanation:
Given : y is the daily production cost at a canning company such that [tex]y=650-15x+0.45x^2[/tex] wherex is the number of canned items .
To find : Minimum daily production cost
Solution :
[tex]y=650-15x+0.45x^2[/tex]
On differentiating both sides with respect to x, we get
[tex]\frac{\mathrm{d} y}{\mathrm{d} x}=-15+0.9x[/tex]
On putting [tex]\frac{\mathrm{d} y}{\mathrm{d} x}=0[/tex] , we get [tex]-15+0.9x=0\Rightarrow 15=0.9x\Rightarrow x=\frac{15}{0.9}=\frac{150}{9}=\frac{50}{3}[/tex]
We get intervals as \left ( -\infty , \frac{50}{3}\right )\,,\,\left ( \frac{50}{3},\infty \right )[tex]\left ( -\infty , \frac{50}{3}\right )\,,\,\left ( \frac{50}{3},\infty \right )[/tex]
For [tex]x=0\epsilon \left ( -\infty ,\frac{50}{3} \right )[/tex] , [tex]f'(0)=-15< 0[/tex]
For [tex]x=16\epsilon \left ( \frac{50}{3},\infty \right )[/tex] , [tex]f'(18)=-15+0.9(18)=-15+16.2=1.2> 0[/tex]
Therefore, [tex]y=\frac{50}{3}[/tex] is a point of minima.
So, minimum cost is equal to [tex]y\left ( \frac{50}{3} \right )[/tex]
[tex]y\left ( \frac{50}{3} \right )=650-15\left ( \frac{50}{3} \right )+0.45\left ( \frac{50}{3} \right )^2=650-250+125=\$ 525[/tex]
So, option C) is correct .
Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?
Answer:
[tex]2.99x+12.99y=43.92[/tex]
Step-by-step explanation:
Hanna shops for socks that cost $2.99 for each pair.
And blouses that cost $12.99 each.
Let x represent the number of pairs of socks purchased.
Let y represent the number of blouses purchased.
So, the cost for x socks will be [tex]2.99x[/tex]
And cost of y blouses will be [tex]12.99y[/tex]
Total amount spent by Hanna = $43.92
So, the equation that will model this situation will be:
[tex]2.99x+12.99y=43.92[/tex]
Solve for x.
5x2−34x=−24
To solve for x in 5x² - 34x = -24, set the equation to equal 0, factor the equation, and find the possible values for x. In this case, the solutions are x = 6/5 and x = 4.
Explanation:This is a problem in algebra, more specifically quadratic equations. To solve for x in the equation 5x² - 34x = -24, you first need to set the equation to equal zero: 5x² – 34x + 24 = 0.
Next you can factor the equation to find the possible values for x. In this case, the factored form is 5x² - 20x - 14x + 24 = 0 which further simplifies to 5x(x - 4) - 6(x - 4) = 0, and then (5x - 6)(x - 4) = 0.
When you set each factor equal to zero, you find the possible solutions for x. From 5x - 6 = 0, x = 6/5; and from x - 4 = 0, x = 4. Therefore the solutions are x = 6/5 and x = 4.
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Which set of ordered pairs could be generated by an exponential function?
The product of three numbers is -216 but their sum is -18. What are these three numbers?
x = {(2, 4), (3, 4), (4, 4), (5, 4)} Is x a function and why?
The function f(x) is graphed on the coordinate plane.
What is f(−2) ?
Enter your answer in the box.
f(−2)=
Answer:
The correct answer is f(-2)= -2
Step-by-step explanation:
A personal trainer makes $25,000 per year and has just begun contributing 6% of his salary to his 401k plan if his employer matches 9% of his contributions how much will have been contributed to the 401k plan after 4 years
The 6 members of the homecoming decorating committee want to make 525 paper flowers for the homecoming dance. Each flower takes about 412 minutes to make. About how long will each member of the committee have to spend making flowers?
Answer:
About 7 hours per person
Step-by-step explanation:
412 divided by 60 because there are 60 minutes in an hour.
6.8667 which is about 7 hours.
The each member will take 7 hours.
What is Unitary method?The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value
Given:
total member = 6 member
Each flower take = 412 minutes
we know
1 hour= 60 minutes
So, each member will have
=412/60
=6.866
=7 hours
Hence, each member will work for 7 hours
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Help me please! |-.-| The struggle is real...
2x^2-13x+4=0
solve using the quadratic formula
What is the least angle measure by which this figure can be rotated so that it maps onto itself? 45° 90° 180° 360° Left right double headed arrow.
In mathematics, specifically geometry, the least angle measure by which a regular, symmetric figure can be rotated to map onto itself is usually 90°. This concept falls under the umbrella of rotational symmetry.
Explanation:The question is about rotation of objects in geometry. To identify the least angle measure for a figure to map onto itself, we need to know the shape of the figure. However, assuming the figure is regular and symmetric (a square or a rectangle for example), the least angle measure by which it can be rotated to map onto itself is 90°.
It's important to remember the concept of rotational symmetry. A figure has rotational symmetry if it can be rotated less than 360° around a central point and still appear the same. For instance, a regular rectangle or square has a rotational symmetry of 90°, since we can rotate it 90 degrees and it appears the same.
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Translate the following statement to an inequality.
A number is at most seven.
x > 7
x < 7
x ≥ 7
x ≤ 7
Answer:
x ≤ 7
Yuuupeeee
A population of bacteria doubles every 12 hours initially the population of bacteria is 80 what is the population of bacteria after 30 hours, rounded to the nearest whole number?
Answer:
not 480, answer is 453 according to K12.
Step-by-step explanation:
took the k12 test, the answer is in fact, 453.
The population of the bacteria after 30 hours will be 400.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the population of bacteria doubles every 12 hours initially the population of bacteria is 80 what is the population of bacteria after 30 hours?
The population will be calculated as,
12 hours = 2 times of 80
1 hour = 2 / 12 times of 80
30 hours = ( 30 x 2 x 80 ) / 12
30 hours = 400 bacterias
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Find m∠abc
Geometry>Proving Angles Congruent
the measure of angle ABC (m∠ABC) is 130 degrees. it's essential to recognize that the sum of the angles along a straight line is always 180 degrees.
In this case, we have two angles, 2x and 5x+5, forming a straight line with an unknown angle (m∠ABC). So, we set up the equation:
2x + 5x + 5 = 180
Next, combine the like terms on the left side:
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/7
x = 25
Therefore, the measure of angle ABC = 5x + 5
= 5(25) + 5
=130 degree
So, the measure of angle ABC (m∠ABC) is 130 degrees.
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True or false in a two column proof the right column states your reasons
In two column proof the right column states your reasons is true statement.
In a two-column proof, the right column typically contains the statements of reasons or justifications for each step taken in the left column.
The left column contains a sequence of statements that represent the logical progression of the proof, while the right column provides the reasoning or logical basis for each step to show that it follows from the previous statements.
This format is commonly used in geometry to provide a clear and organized presentation of the proof's logical structure.
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Please help! Explain how to solve!
Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
What is the equation for g(x) ?
Enter your answer in the box.
g(x)= ___________
The graph of the function f(x)=|3x| is translated 4 units up.
What is the equation of the transformed function?
Enter your answer in the box.
g(x)= ___________
Ques 1)
[tex]g(x)=-12x+48[/tex]
Ques 2)
[tex]g(x)=|3x|+4[/tex]
Step-by-step explanation:Ques 1)
We know that if a graph is stretched by a factor of a then the transformation if given by:
f(x) → a f(x)
Also, we know that the translation of a function k units to the right or to the left is given by:
f(x) → f(x+k)
where if k>0 then the shift is k units to the left
and if k<0 then the shift is k units to the right.
Here the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
This means that the function g(x) is given by:
[tex]g(x)=4f(x-4)\\\\i.e.\\\\g(x)=4(-3(x-4))\\\\i.e.\\\\g(x)=-12(x-4)\\\\i.e.\\\\g(x)=-12x+48[/tex]
Ques 2)
We know that the transformation of the type:
f(x) → f(x)+k
is a shift or translation of the function k units up or down depending on k.
If k>0 then the shift is k units up.
and if k<0 then the shift is k units down.
Here, The graph of the function f(x)=|3x| is translated 4 units up.
This means that the transformed function g(x) is given by:
[tex]g(x)=|3x|+4[/tex]
Answer:
-12(x-4)
Step-by-step explanation:
I just took the test this is the answer!! Basically you take -3 and 4 and times it which would be -12. You then have x and another 4 left over. Since you are translating to the right you will be negative therefore giving us the answer -12(x-4).
The length and the width of a rectangle are both doubled. What is the ratio of the area of the larger rectangle to the area of the smaller rectangle?
I think it is 2:1. Am I right? If not, what is the ratio?
A television network counted 1,771,548 viewers watching the golf tournament on its channel.There where 5,861,014 viewers watching a football game on another channel. Round eack number to the nearest thousand about how many viewers were watching the two events on telveision? A. 7,500,000 B. 7,600,000 C.7,700,000 D. 8,000,000