When four basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical order? Assume each player has a different name.
P(shoot free throws in alphabetical order) = _____
The total number of possibilities of drawing their names is given by permutation.
4P4 = 24
The total possibility of drawing their names in alphabetical is only 1.
Therefore the probability is:
P = 1 / 24
P = 0.0417
Therefore there is about 4.17% chance that it will be in alphabetical order
bh+hr=25
solve for h and r
To solve for h and r in the equation bh + hr = 25, isolate one variable, solve for h using division, and solve for r by expanding the equation. There is no unique solution for h and r in terms of each other.
Explanation:To solve for h and r in the equation bh + hr = 25, we need to isolate one variable on one side of the equation. Let's solve for h first:
bh + hr = 25
Factor out h from the left side of the equation:
h(b + r) = 25
Divide both sides by (b + r) to solve for h:
h = 25 / (b + r)
Now, let's solve for r. Replacing h in the original equation:
bh + hr = 25
b(25 / (b + r)) + r(25 / (b + r)) = 25
Multiply both sides by (b + r) to get rid of the denominators:
25b + 25r = 25(b + r)
Expand the equation:
25b + 25r = 25b + 25r
As we can see, the equation is an identity, meaning any value of r will satisfy it. Therefore, there is no unique solution for r in terms of h, and vice versa.
Learn more about Solving equations here:https://brainly.com/question/14410653
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Greg is 5 feet three inches tall and weighs 260 pounds. greg is ________.
Please do not make into a fraction because I can’t use a fraction as an answer. Rewrite using a negative exponent.
1/(xy)^1
A vertical plane intersects the three-dimensional object in the image and divides the object into equal halves. What is the shape of the cross section?
Thank you :)
Answer:
Option 4 is correct .
Step-by-step explanation:
Given : A three dimensional figure
To Find : What is the shape of the cross section?
Solution :
If we intersects the three-dimensional object in the image and divides the object into equal halves by vertical plane then we can see the attached figure what the output will be .
We can see that if we see the cross section from the side then it looks like the fourth one
So, Option 4 is correct .
Write an equation of the line passing through each of the following pairs of points.
a) (−10, 4), (2, −5)
b) (5, 7), (−6, −3)
The required equation of the line passing through the coordinates (−10, 4), (2, −5) is 4y+3x = -14
The required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27
The formula for finding the equation of a line is expressed as:
[tex]y-y_0=m(x-x_0)\\[/tex]
Given the coordinates (−10, 4), (2, −5)
Get the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-4}{2-(-10)} \\m=\frac{-9}{12}\\m=\frac{-3}{4}[/tex]
Get the required equation
[tex]y-4=-3/4(x+10)\\4(y-4)=3(x+10)\\4y-16=-3x-30\\4y + 3x = -30+16\\4y+3x = -14\\[/tex]
b) For the equation of the line with the coordinates (5,7) and (-6, -3)
Get the slope
m = -3-7/-6-5
m = -10/-11
m = 10/11
The required equation will be:
y - 7 = 10/11(x-5)
11(y-7) = 10(x-5)\
11y - 77 = 10x - 50
11y - 10x = -50 + 77
11y - 10x = -27
Hence the required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27
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A scatter plot has been created with a line of best fit that matches the equation y = 11x + 340. Using this line of best fit, determine the output value when the input is 10. Do you think this matches a point on the scatterplot? Why or why not?
An electronics store makes a profit of $25 for every portable DVD player sold and $55 for every DVD recorder sold. The manager’s target is to make at least $225 a day on sales of the portable DVD players and DVD recorders. Write an inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target. Let p represent the number of portable DVD players and r represent the number of DVD recorders.
An inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target is [tex]25p+55r\geq225[/tex].
To determine the inequality that represents the number of portable DVD players (p) and DVD recorders (r) that need to be sold to achieve the target profit of at least $225 per day, we can use the information provided about the profits from selling each item.
The store makes a profit of $25 for every portable DVD player sold and $55 for every DVD recorder sold. This can be represented by the following inequality:
[tex]25p+55r\geq225[/tex]
Here, p represents the number of portable DVD players sold.
Here, r represents the number of DVD recorders sold.
This inequality ensures that the total profit from selling portable DVD players and DVD recorders meets or exceeds the manager’s target of $225 per day.
Luis makes $23.10 per hour at his job for the first 40 hours he works each week. if he works more than 40 hours, then luis makes $34.65 per hour. if luis works 46 hours in one week, how much does he earn?a.$1,062.60b.$1,097.25c.$1,131.90d.$1,593.90
Answer:
correct answer is C. Just took the test.
Hal, Zelda, Maya, and Jason each recorded the height and age of five classmates. They used the data to create the tables below.
(Image)
In which student’s data can height be considered a function of age?
Answer:
Step-by-step explanation:
Hal's because there is one age for every height .
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge 2021
Write 3 ½% as a fraction
Answer:
7/200
Step-by-step explanation:
3.5% = 3.5/100 = (3.5/100)×(2/2) = 7/200
_____
The % symbol is a shorthand way to write "/100", so 3.5% = 3.5/100.
The length of a rectangle is 4 inches more than its width. the perimeter of the rectangle is 32 inches. what is the length of the rectangle
How can I work out this: (6x-1)(4x+6)
what is the solution of the following system?
3x+3y=10
-9x-9y=-30
Please give me a step by step!
David bought a used car for $3,000 and later sold it for $1,000. What was the approximate percent decrease in the price of the car?
What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ? Enter your answer in the box.
C(x) = 0.5x+70 find the domain and range
The formula for the area of a triangle is a=1/2bh. solve the formula for h. a triangle has a base of 7cm and an area of 28cm squared. what us it's height
Answer: 8 cm
Step-by-step explanation:
Given : The formula for the area of a triangle is [tex]a=\dfrac{1}{2}bh[/tex]
If a triangle has a base of 7 cm and an area of 28 cm squared.
The substitute the values of b = 7 and a = 28 in the above formula, we get
[tex]28=\dfrac{1}{2}(7)h[/tex]
Divide 7 and multiply 2 on on both sides, we get
[tex]h=\dfrac{28\times2}{7}=4\times2=8\ cm[/tex]
Hence, the height of triangle = 8 cm
A friend creates an IRA (Individual retirement account) with an APR of 6.25%. She starts the IRA at the age of 25 and deposits $50 at the end of each month. How much will her IRA contain when she retires at the age of 65?
(y3 - 4y2 + 7y - 6) ÷ (y - 2)
for the function:
f(x) = -3x^4
complete the table of values using at least 5 points.
x -2 -1 0 1 2
f(x)
While catching fireflies, you and a friend decide to have a competition. after mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. how many fireflies are caught each minute during the competition?
To find for the number of fireflies caught in a minute, we simply look at the equation. The equation is linear and takes the form y = slope * x + b
where slope is also equivalent to the fireflies caught each minute.
So the equation of you and your friend is: (where y is the total fireflies caught)
you:
y = 3 m + 13
your friend:
y = 4 m + 6
So the fireflies caught each minute is:
you: 3
your friend: 4
So a total of 7 fireflies each minute combined
Marla has a pet hamster. The hamster makes 3 laps around her cage every minute.
What line represents the situation?
Line a
Line b
Line c
Line d
Let
x-------> the time in minutes
y------> the number of laps
we know that
In this problem the linear equation represent a direct variation and the slope is equal to
[tex]m=3\frac{laps}{minute}[/tex]
so
the equation of the line is
[tex]y=3x[/tex]
For [tex]x=1\ minute[/tex]
the value of y is equal to
[tex]y=3*1=3\ laps[/tex]
Plot the point [tex](1,3)[/tex] in the graph
therefore
the answer is
The solution is the line b
see the attached figure to better understand the problem
(99 POINTS AVAILABLE)
When three or more lines intersect at one point, the point of intersection is called the ____________.
Staci is attending a music festival. The ticket to the festival costs 87.96. Staci plans to purchase 30.00 t-shirts from the event for close friends. She is taking 200.00 to the festival . What is the maximum number of t-shirts Staci can purchase?
Final answer:
Staci can purchase a maximum of 3 T-shirts after buying her festival ticket, given she brings $200.00 and each T-shirt costs $30.00.
Explanation:
To calculate the maximum number of T-shirts Staci can purchase at the music festival, we can follow these steps:
Subtract the cost of the festival ticket from the total amount of money Staci is taking to the festival. This will give us how much money she has left for the T-shirts.
Divide the remaining amount by the cost of one T-shirt to find out the maximum number of T-shirts she can buy.
So for the first step:
Staci has $200.00 and the ticket costs $87.96, leaving her with $200.00 - $87.96 = $112.04.
For the second step:
Each T-shirt costs $30.00, so we divide $112.04 by $30.00, which gives us 3.734.
Since Staci cannot buy a fraction of a T-shirt, we round down to the nearest whole number, which is 3.
Therefore, the maximum number of T-shirts Staci can purchase is 3.
12 is 30% of blank plz give the right answer
what is 63 as the product of prime factors in ascending order?
Alberto, Carlos and Maria share an inheritance of $54000 in the ratio of 3: 4: 5
What fraction of the the money does Alberto get?
Alberto gets [tex]\( \frac{1}{4} \)[/tex] of the inheritance.
To find out the fraction of the money Alberto gets, we first need to find out how much of the total inheritance each part of the ratio represents.
The total parts in the ratio are [tex]\(3 + 4 + 5 = 12\)[/tex].
Alberto's share is [tex]\(3\)[/tex] parts out of [tex]\(12\)[/tex].
So, Alberto's share of the inheritance is [tex]\( \frac{3}{12} \)[/tex] of the total amount.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is [tex]\(3\)[/tex]:
[tex]\( \frac{3}{12} = \frac{1}{4} \)[/tex]
Therefore, Alberto gets [tex]\( \frac{1}{4} \)[/tex] of the inheritance.
willie wants to save for a new racing bike. if he deposits $250 in a saving account at 4% simple annual interest, what willis balance be after 3 years?
A.15
B.30
C.265
D.280
Leon drew Triangle ABC and Triangle DEF so that Angle A is congruent to Angle D, Andgle B is Congruent to Angle E, AB = 4, and DE = 8. Are Triangle ABC and Triangle DEF similar? If so, identify the similarity postulate or theorem that applies.
Answer:
The correct option is D
Step-by-step explanation:
Given triangle ABC and triangle DEF so that ∠A≅∠D, ∠B≅∠E, AB = 4, and DE = 8. we have to tell the similarity theorem or postulate that applies to prove above triangles congruent.
In ΔABC and ΔDEF
∠A=∠D (Given)
∠B=∠E (given)
Two angles are congruent
Hence, by AA similarity postulate which states that if the two corresponding angles of two triangles are congruent they are similar i.e ΔABC~ΔDEF
Hence, The correct option is D