Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Number of students who are interested in being on the team = 9
Number of positions to fill on his basket ball team = 3
So, the combinations of the three positions he can choose for the team is given by
[tex]3\times 9=27[/tex]
Hence, Option 'c' is correct.
The coach can choose 84 different combinations of the three positions from 9 interested students for the basketball team.
The coach needs to choose 3 out of 9 students to fill the positions on his basketball team. This is a combination problem, and the number of ways to choose [tex]\( r \)[/tex] items from [tex]\( n \)[/tex] items is given by the combination formula:
[tex]\[ C(n, r) = \frac{n!}{r!(n-r)!} \][/tex]
Here, [tex]\( n = 9 \) (number of students) and \( r = 3 \)[/tex] (number of positions to fill).
[tex]\[ C(9, 3) = \frac{9!}{3!(9-3)!} \][/tex]
[tex]\[ C(9, 3) = \frac{9!}{3!6!} \][/tex]
[tex]\[ C(9, 3) = \frac{9 \times 8 \times 7}{3 \times 2 \times 1} \][/tex]
[tex]\[ C(9, 3) = \frac{504}{6} \][/tex]
[tex]\[ C(9, 3) = 84 \][/tex]
So, the coach can choose from 84 different combinations for the team positions.
The correct answer is:
B: 84
solve for 7 + y = -2 -3x
Answer:
y = -3x-9
Step-by-step explanation:
7 + y = -2 -3x
To solve for y, subtract 7 from each side
7 -7+ y = -2 -3x-7
y = -3x-9
Use an equation to find the value of k so that the line that passes through (-4, k)(−4, k) and (6, −7) has a slope of m= -1/5.
Answer:
The value of k is -5.
Step-by-step explanation:
To find the value of k, start by using the known information we have in the equation for slope. The equation is below.
m(slope) = (y2 - y1)/(x2 - x1)
In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.
-1/5 = (-7 - k)/(6 + 4)
-1/5 = (-7 - k)/10
Now we can use cross multiplication to solve for k.
-1/5 = (-7 - k)/10
-1*10 = 5(-7 - k)
-10 = -35 - 5k
25 = -5k
-5 = k
Answer:
k=-5
Step-by-step explanation:
To find the value of k, start by using the known information we have in the equation for slope. The equation is below.
m(slope) = (y2 - y1)/(x2 - x1)
In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.
-1/5 = (-7 - k)/(6 + 4)
-1/5 = (-7 - k)/10
-1/5 = (-7 - k)/10
-1*10 = 5(-7 - k)
-10 = -35 - 5k
25 = -5k
-5 = k
Help me on number problem 7 please
Answer:
D: (-infinity, infinity) R: (-infinity, infinity)
Step-by-step explanation:
The absolute value of x - 3 is x+ 3.
y = x + 3 + 1
y = x + 4
Your y intercept is your c value. Your c value is 4.
4 is your y intercept.
Place a point on 4. This is your starting point. Rise over run is 1/1
To find the positive points, go up one from the y intercept and over one, repeating the process until you reach the edge of the graph.
To find the negative points, do the opposite. Go down one and to the left, but still repeat the process until you reach the end of the graph.
Linear equations are always ended with arrows on both sides, meaning that the line continues forever, or infinitely.
To find domain, look at the x values.
Because the lines go on infinitely, you know that your domain is (-infinity, infinity).
To find your range, look at your y values.
Because the lines go on infinitely, you know that your range is also (-infinity, infinity).
Make sure to use the symbol for infinity instead of the words. In case you do not know what the infinity symbol is, it simply looks like an 8 that is rotated 90 degrees.
Insert parentheses in the expression 6 + 10 x 2 so that the expression equals 32
Final answer:
By inserting parentheses to create the expression (6 + 10) x 2, we change the order of operations and get the desired result, which is 32.
Explanation:
The question involves inserting parentheses in the expression 6 + 10 x 2 so that the result of the expression equals 32. According to the order of operations, we typically perform multiplication before addition, so if we compute the expression as it stands, we would get 6 + (10 x 2) = 6 + 20 = 26, which is not the result we want. To achieve the desired result, we need to adjust this order. By adding parentheses, we can change the order in which the operations are performed. Thus, the correct placement of parentheses would be (6 + 10) x 2, which gives us (16) x 2 = 32.
20 POINTS
Use this graph for questions 1 and 2.
Q1. Select the statement that is true about the graph above.
The function is decreasing from x = -5 to x = 0.
The function is nonlinear from x = -5 to x = 0.
The function is increasing from x = 2 to x = 8.
The function is linear from x = 2 to x = 8.
Q2.Select the statement that is true about the graph above.
The function is increasing from x = -5 to x = 0.
The function is decreasing from x = -5 to x = 0.
The function is linear from x = 0 to x = 2.
The function is nonlinear from x = -5 to x = 0.
Answer:
Q1 The function is linear from x = 2 to x = 8.
Q2 The function is increasing from x = -5 to x = 0.
Step-by-step explanation:
Q1. Select the statement that is true about the graph above.
The function is decreasing from x = -5 to x = 0.
This would mean it is going down from left to right. It is obviously going up. So this is not true.
The function is nonlinear from x = -5 to x = 0.
This would mean it is not a straight line, but it is a straight line so this is not true.
The function is increasing from x = 2 to x = 8.
This would mean it is going up from left to right, but it is going down from left to right so this is not true.
The function is linear from x = 2 to x = 8.
This would mean it is a straight line between 2 and 8. It is true.
Q2.Select the statement that is true about the graph above.
The function is increasing from x = -5 to x = 0.
This would mean it is going up from left to right. It is obviously going up. So this is true.
The function is decreasing from x = -5 to x = 0.
This would mean it is going down from left to right. It is obviously going up. So this is not true.
The function is linear from x = 0 to x = 2.
This would mean it is a straight line, but it is not a straight line so this is not true.
The function is nonlinear from x = -5 to x = 0.
This would mean it is not a straight line, but it is a straight line so this is not true.
Julie buys 2kg of apples and 7 kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the apples?
Question
Julie buys 2kg of apples and 7 kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the apples?
Answer:
1.80 £Step-by-step explanation:
find the price of pears
7kg * 1.30£ = 9.1£
from the total price take away the cost of pears
12.70 - 9.1 = 3.6 £ (price of 2Kg of pears)
3.6 : 2 = 1.80 £ ( cost of 1 Kg of apples)
----------------------------------------------
or you can solve with an expression
12.70 - (7 * 1.3) : 2 =
1.80 £
what substitution should he used to rewrite x^8-3x^4+2
Answer:
The correct
answer between all the choices given is the second choice or letter B. I am
hoping that this answer has satisfied your query and it will be able to help
you in your endeavor, and if you would like, feel free to ask another question.
Which is the best definition of a trapezoid?
a parallelogram that can have 2 equals sides
a quadrilateral with 1 pair of parallel sides
a parallelogram with no equal sides
a parallelogram with no equal angles
ill mark you brainiest ifffff you mark me or just dont answer
Answer:
B) A quadrilateral with one pair of parallel sides
Step-by-step explanation:
Specifically, this is a 4 sided figure with exactly one pair of opposite sides that are parallel. The other two sides are not parallel. A trapezoid can be formed if you draw a parallel segment to one side of a triangle. If you had two pairs of parallel sides, then it would be a parallelogram instead of a trapezoid.
25 Points!! Need help ASAP!!! Plzz help!!!
<1 and <5 are _____ angles.
A. alternate exterior
B. alternate interior
C. supplementary
D. right
<5 and <7 are _____ angles.
A. alternate exterior
B. alternate interior
C. supplementary
D. right
E. corresponding
Answer:
C and E
Step-by-step explanation:
Supplementary angles add up to 180
Corresponding angles are the same angle in a different location
Answer:
1 and 5 are supplementary angles
5 and 7 are corresponding angles
Step-by-step explanation:
what is the inequality of p-1>3
Answer:
p > 4 if thats what ur asking.
Step-by-step explanation:
p-1>3
Add 1 to each side, it cancels out the -1
p > 4
Answer:
p>4
Step-by-step explanation:
p-1>3 given
p>4 addition property of equality
An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of metal ring. The distance around each dot is 24π inches. The artist plans to fill the inside of each dot with blue colored glasses. What is the area of the blue glass will be needed to fill each butterfly dot?
The area of the blue glass needed to fill each dot is 144π square inches.
Explanation:To find the area of the blue glass needed to fill each dot, we need to first determine the radius of the dot. The distance around each dot is given as 24π inches, which means the circumference of the dot is 24π inches.
Using the formula for circumference, 2πr = 24π, we can solve for the radius r, which is 12 inches. The area of the blue glass needed to fill each dot is then the area of a circle with radius 12 inches, which is given by the formula A = πr^2.
Substituting the value for r, we get A = π(12)^2 = 144π square inches.
write an inequality that represents 10 less than four times a number is more than 1000
Answer:
Step-by-step explanation:
Unknown number be 'x'
4x-10>1000
An inequality representing '10 less than four times a number is more than 1000' is written as 4x - 10 > 1000. We rearrange the inequality to solve for x, resulting in x > 252.5, indicating that four times any number greater than 252.5, minus 10, will be more than 1000.
To write an inequality that represents "10 less than four times a number is more than 1000," we need to use an inequality symbol to show the relationship between the expressions involved. The number we are considering can be represented by a variable, typically denoted as x. So, four times a number would be written as 4x. Following this, 10 less than four times a number is expressed as 4x - 10. Now, stating that this quantity is more than 1000, we use the > sign, leading to the inequality 4x - 10 > 1000. To solve this inequality, we can rearrange the terms to isolate x, resulting in the following steps:
Add 10 to both sides: 4x - 10 + 10 > 1000 + 10Simplify the inequality: 4x > 1010Divide by 4 to solve for x: x > 1010/4Thus, the solution to the inequality is x > 252.5This inequality represents that any number greater than 252.5, when multiplied by four and reduced by 10, will result in a value more than 1000.
y=-1/3x +1 find a perpendicular line from a point on (3,4)
Answer:
y = 3x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - [tex]\frac{1}{3}[/tex] x + 1 is in this form
with slope m = - [tex]\frac{1}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1/3}[/tex] = 3
y = 3x + c ← is the partial equation
to find c substitute (3, 4) into the partial equation
4 = 9 + c ⇒ c = 4 - 9 = - 5
y = 3x - 5 ← equation of perpendicular line
$0.60 bottle of iced tea marked up $1.35
1/2 x (7x-3) x 8
what is this
An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
The constraint of expression is represented as = or <, >.
As per the given expression,
1/2 × (7x - 3) × 8
Multiply 1/2 and 8
⇒ 1/2 × 8 × (7x - 3)
⇒ 4 × (7x - 3)
⇒ 28x - 12
Hence "An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12".
To learn more about expression,
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On his first five math tests Colin receive the following scores: 82,90,93,62,and 81. What test score must : Burn on his six test so that his average for all six of us 80?
Answer:
The lowest he can get is a 72 to maintain an 80 as his average
Step-by-step explanation:
John creates a regression line for his data and then plots the residuals. The residual plot looks like a quadratic function. What does this mean?
A) A pattern in the residuals has no meaning.
B) That the original data forms a quadratic pattern.
C) That his regression equation is a quadratic function.
D) That the regression equation is not a good fit for the data.
Based on the information given regarding the regression line, the correct option is D. That the regression equation is not a good fit for the data.
What is a regression line?A regression line simply means a single line that best fits the data. It should be noted that the formula for the regression line is y = mx + b.
Based on the question asked, since the residual plot looks like a quadratic function, it means that the regression equation is not a good fit for the data.
If the regression line is a good fit for the model, there'll be no pattern in the residual. In this case, since there is a residual, it means that the regression equation is not a good fit for the data.
Learn more about regression on:
https://brainly.com/question/25987747
A residual plot showing a quadratic pattern suggests the current linear regression model is inappropriate and a non-linear model might be required. Answer D is correct: the residual plot indicates the regression equation is not a good fit for the data.
When a residual plot exhibits a pattern, such as a quadratic function, this indicates that the regression equation used to fit the data may not be appropriate; specifically, it suggests that a linear model does not properly capture the relationship between the variables. Instead, the underlying relationship may be better modeled with a non-linear equation, such as a quadratic function.
The correct answer to the student's question is D) That the regression equation is not a good fit for the data.
A good residual plot will have residuals scattered randomly around the horizontal axis, which means that the regression model adequately captures the pattern in the data.
42 is 60% of what number
Question
42 is 60% of what number
Answer:
70Step-by-step explanation:
42 : 60 * 100 =
70
--------------------
check
70 * 60% =
42
the answer is good
what is 2+2 divided by 4 * 5 * 6^3
give an 20 word explanation for 50 pts.
Answer:
The first thing we are going to do is simplify the equation. 2 + 2 equals to 4. 6^3 equals to 216. 4 x 5 equals to 20. Now, we solve the equation to the right because we multiply before we divide 20 x 216 = 4,320 and now we are going to divide 4,320 by 4 which equals to 1,080.
Step-by-step explanation:
Answer:
542
Step-by-step explanation:
You must use order of operations: PEMDAS
P_arenthesis
E_xponents
M_ultiplication or
D_ivision left to right
A_ddition or
S_ubtraction left to right
So there are no parenthesis, then you do exponents.
2 + 2/4 * 5 * 6^3
So six times six three times.
2 + 2/4 * 5 * 216
Now divide usually from left to right.
2 + 0.5 * 5 * 216
Multiply
2 + 2.5 * 216
Multiply for the last time 2.5 by 216
2 + 540
Finally add
542
Hope this helps future students,
Que.
What's the slope for (2,11)(8,0)
What is the correct order for these statements to be placed in the proof above
Students in Mr Tarlows are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?
Answer:
70 pages
Step-by-step explanation:
25 % = 25/100 = 1/4
Number he reads each night 280 * 1/4
= 70 pages
Ramon should read 70 pages each night to cover 25 percent of the 280-page book over four nights.
Ramon's goal is to read 25% of a 280-page book each night.
To find out how many pages he should read each night,
we can calculate 25% of 280.
First, we convert 25% to a decimal by dividing it by 100:
25% = 0.25.
Next, we multiply the decimal (0.25) by the total number of pages (280):
0.25 [tex]\times[/tex] 280 = 70.
Ramon should read 70 pages each night.
This consistent approach will help him finish the book in four nights while ensuring he comprehends the material thoroughly.
Breaking the reading into manageable portions not only makes it easier to digest the content but also allows him to better retain and engage with the book.
For similar question on percent
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Christi has $50 to spend at the fair. She plans to spend $8 on admission and $15 on snacks. She wants to play a game that costs $0.90 per game. Which inequality gives the maximum number of times, x, Christi can play the game.
Answer:
30 games
Step-by-step explanation:
8+15+0.9x is less than or equal to 50
isolate x:
x is less than or equal to 30
two runners start 30kilometer apart and run toward each other. they meet after 3hours. One Runner runs 2 kilometers per hour faster than the other runner. What rate do they run
Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
find the slope of line through on the points (-8,5) and (-23,2)
Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (2 - 5)/(-23 - (-8))
m = (2 - 5)/(-23 + 8)
m = (-3)/(-15)
m = 1/5
m = 0.2
-------------------
The answer as a fraction is 1/5
In decimal form, this is equivalent to 0.2
To find the slope, use the slope formula and plug in the two points:
(-8,5) = (x₁ , y₁)
(-23,2) = (x₂ , y₂)
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{2-5}{-23-(-8)}[/tex]
[tex]m=\frac{2-5}{-23+8}[/tex]
[tex]m=\frac{-3}{-15}[/tex]
[tex]m=\frac{1}{5}[/tex]
What is margin of error??
Answer:
The margin of error for a sample size of 250 is 6
Step-by-step explanation:
The margin of error is given as
1/square root of the sample size
Thus, margin of error for a sapless size of 250 is
1/√250
= 1/15. 811
= 6
bottle a contains 4 ounces of water, which is 25% of the amount of water in bottle b. How much water is in bottle b?
Final answer:
By setting up a proportion based on the fact that 4 ounces represents 25% of the amount in bottle B, we calculated that bottle B must contain 16 ounces of water.
Explanation:
The question asks us to determine how much water is in bottle B given that bottle A contains 4 ounces of water, which is 25% of the amount of water in bottle B. This means bottle A has one-fourth the amount of water that is in bottle B.
To find out how much water is in bottle B, we can set up a simple proportion: if 4 ounces is 25%, then 100% (which is the full amount in bottle B) would be four times as much. Therefore, we multiply 4 ounces by 4.
4 ounces × 4 = 16 ounces
So, bottle B contains 16 ounces of water.
if lines m and n are parallel, and < 1 measures 125°, which is the measure of < 2?
a. 25°
b. 40°
c. 55°
d. 150°
Answer: 55°
Step-by-step explanation:
Line n is irrelevant.
Angle 1 plus angle 2 is 180° because line m is a straight line
180 - 125 is 55
X3-5X2-24X factor this
Answer:
x(x - 8)(x + 3)
Step-by-step explanation:
take out a common factor of x
= x(x² - 5x - 24)
to factor the quadratic consider the factors of - 24 which sum to - 5
These are - 8 and + 3, thus
= x(x - 8)(x + 3) ← in factored form
Final answer:
To factor X³-5X²-24X, we first factor out the greatest common factor, X, and then factor the resulting quadratic equation, resulting in the factored form X(X-8)(X+3).
Explanation:
The polynomial X³−5X²−24X can be factored by first taking out the common factor of X, which gives us X(X²−5X−24). Next, we need to factor the quadratic equation X²−5X−24. To do this, we look for two numbers that multiply to −24 and add up to −5, which are −8 and 3. Therefore, the factored form is X(X−8)(X+3).
which of the following lines is perpendicular to the line y=-2
A.) y=1/5x+3
B.) y+3=-5(x+2)
C.) y=2
D.) x=-2
Answer:
D, x = -2
Step-by-step explanation:
The slope of y = -2 is 0, because it is horizontal. The perpendicular slope of a horizontal slope is a vertical, which has x equaled to a number. The answer is D, x = -2, because its slope is undefined, or vertical. This makes it perpendicular to 0, or horizontal.