Answer:
The probability that one junior and one senior are chosen for the two positions is 0.556.
Step-by-step explanation:
The information provided is as follows:
Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly.There are a total of 9 students who applied for the two open student council positions.
The total number of ways to select two students from 9 is: [tex]{9\choose 2}=\frac{9!}{(9-2)!}=36[/tex]
Compute the probability that one junior and one senior are chosen for the two positions as follows:
[tex]P(\text{1 Junior and 1 Senior})=\frac{5\times 4}{36}=0.556[/tex]
Thus, the probability that one junior and one senior are chosen for the two positions is 0.556.
Which of the following could represent the unit side lengths of a right triangle
A 5,8,10
B 3,5,7
C 6,11,13
D 12,16,20
Answer:
Choice D
Step-by-step explanation:
If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².
Answer:
Answer: D 12,16,20
Step-by-step explanation:
The Pythagora's Theorem
On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:
[tex]a^2+b^2=c^2[/tex]
The set {a,b,c} is often called a Pythagorean Triple.
Testing every option:
A
[tex]5^2+8^2=10^2[/tex]
[tex]25+64 = 100[/tex]
89 = 100
Since equality is false, 5,8,10 are not the side lengths of a right triangle.
B
[tex]3^2+5^2=7^2[/tex]
[tex]9+25 = 49[/tex]
34 = 49
Since equality is false, 3,5,7 are not the side lengths of a right triangle.
C
[tex]6^2+11^2=13^2[/tex]
[tex]36+121 = 169[/tex]
157 = 169
Since equality is false, 6,11,13 are not the side lengths of a right triangle.
D
[tex]12^2+16^2=20^2[/tex]
[tex]144+256 = 400[/tex]
400 = 400
Since equality is true, 12,16,20 could be the side lengths of a right triangle.
Answer: D 12,16,20
plz help i will give u $10000
When the function f(x) is divided by 2x 1, the quotient is x2 93 3 and the
remainder is –9. Find the function f(x) and write the result in standard form.
Answer:
my cash app is Joy95H Suppose we wish to find the zeros of f(x) = x
3 + 4x
2 − 5x − 14. Setting f(x) = 0 results in the
polynomial equation x
3 + 4x
2 − 5x − 14 = 0. Despite all of the factoring techniques we learned1
in Intermediate Algebra, this equation foils2 us at every turn. If we graph f using the graphing
calculator, we get
The graph suggests that the function has three zeros, one of which is x = 2. It’s easy to show
that f(2) = 0, but the other two zeros seem to be less friendly. Even though we could use the
‘Zero’ command to find decimal approximations for these, we seek a method to find the remaining
zeros exactly. Based on our experience, if x = 2 is a zero, it seems that there should be a factor
of (x − 2) lurking around in the factorization of f(x). In other words, we should expect that
x
3 + 4x
2 − 5x − 14 = (x − 2) q(x), where q(x) is some other polynomial. How could we find such
a q(x), if it even exists? The answer comes from our old friend, polynomial division. Dividing
x
3 + 4x
2 − 5x − 14 by x − 2 gives
x
2 + 6x + 7
x−2 x
3 + 4x
2 − 5x − 14
−
x
3 −2x
2
6x
2 − 5x
−
6x
2 −12x)
7x − 14
− (7x −14)
0
As you may recall, this means x
3 + 4x
2 − 5x − 14 = (x − 2)
x
2 + 6x + 7
, so to find the zeros of f,
we now solve (x − 2)
x
2 + 6x + 7
= 0. We get x − 2 = 0 (which gives us our known zero, x = 2)
as well as x
2 + 6x + 7 = 0. The latter doesn’t factor nicely, so we apply the Quadratic Formula to
get x = −3 ±
√
2. The point of this section is to generalize the technique applied here. First up is
a friendly reminder of what we can expect when we divide polynomia
Step-by-step explanation:
(IM GIVING EXTRA POINTS AND BRAINLIEST TO WHO EVER HELPS ME! ;D)
Which of the following gives the most complete and accurate description of the
friction in the image?
A) The rough texture of the ground creates a small amount of friction.
B) The smooth texture of the ground creates a greater amount of friction.
C) The push of the suitcases causes friction between the wheels and the ground.
D) There is friction between the suitcases and the ground and between the feet and the ground.
(Here is the image) :
Answer:
I think D
Step-by-step explanation:
The ground looks pretty smooth to me, plus D has more info
Also, is that math?
Because it doesn't look like math.
Answer:
D
Step-by-step explanation:
all the others don't make sense
I'll take my brainlets
Grandma made an apple pie. Josh and his brother Joe finished 4/5 of it. Then, three friends came over and shared the leftover pie. How much of the pie did each friend eat?
Answer:
each freind would get 1/15 of the pie
Step-by-step explanation:
1/5 divide by 3 equals 1/15
What is (4-5y) - (2y-16)
Answer:
4 - 5y - 2y + 16
like terms
20 - 7y
Answer:
4-5y)-(2y-16)=0
Step-by-step explanation:We add all the numbers together, and all the variables
(-5y+4)-(2y-16)=0
We get rid of parentheses
-5y-2y+4+16=0
We add all the numbers together, and all the variables
-7y+20=0
We move all terms containing y to the left, all other terms to the right
-7y=-20
y=-20/-7
y=2+6/7
If y=30 when x=6 what is the value of y when x=12
Answer:
60
Step-by-step explanation:
tge question wasn't really clear btw
Answer:
60
Step-by-step explanation:
it doubled the x so double y
What is growth mindset? Describe growth mindset.
What is growth mindset examples?
What is the meaning of growth mindset?
How growth mindset can lead to success?
Answer:
Growth Mindset: “In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment. In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment,” Dweck wrote.
Step-by-step explanation:
Write the list of numbers in order from smallest to largest.
0.551, 0.554 , 5/6
Which set of data is most accurately represented by a logarithmic model?
Triangle ABC has vertices of A(-6, 7), B(4, -1), and C(-2, -9). Find the length of the median from
A. 4
B. Square Root of 18
C. 8
D. Square Root of 68
Answer:
A
Step-by-step explanation:
What is the coefficient of a3 after simplifying this expression? 2a3−10ab2+3a3−ab2−7
Answer:
5Step-by-step explanation:
Given the expression
2a^3−10ab^2+3a^3−ab^2−7
We are to find the coefficient of a^3
First is to collect the like terms;
2a^3−10ab^2+3a^3−ab^2−7
= 2a^3+3a^3−10ab^2−ab^2−7
= 5a^3-11ab^2-7
From the resulting equation, you can see that the coefficient of the term having a^3 is 5
Answer:
5
Step-by-step explanation:
i took the quiz trust me
ANSWER ASAP!
What is the result when the number 30 is decreased by 20%?
Step-by-step explanation:
it would be 24.........
Sharise Brody folds and glues corrugated cardboard boxes at the rate of $0.57 per box. If she averages 40 boxes per hourhow much is her average hourly pay?
Answer:
she makes $22.80 a day
Step-by-step explanation:
since she makes $0.57 per box and averages at 40 boxes a day, we multiply 40 and 0.57. 40 x 0.57 = 22.8, or $22.80.
hope this helped!
What is a number that when you multiply it by 4 and subtract 7 from the product, you get 25?
Answer:
8 times 4= 32-7=25
Step-by-step explanation:
The unknown number from the equation is 8.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a number that when you multiply it by 4 and subtract 7 from the product, you get 25.
Let the unknown number be x.
Now, 4x-7=25
4x=32
x=8
Therefore, the unknown number is 8.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
There are 80 questions on a test. 1/4 of the answers are the letter A, 20% of the answers are letter B, 28 answers are the letter C, How many answers are the letter D?
18
28
20
16
Answer:
16
Step-by-step explanation:
1/4 is 20
20per is 16
20+16+28 is 64 minus 80 is 16
2 (43 – 1) +6
Most equivalent
Answer:
90
Step-by-step explanation:
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{2(43 - 1) + 6}\\\\\mathbf{= 2(\boxed{\bf 42}) + 6}\\\\\mathbf{= \boxed{\bf 84} + 6}\\\\\mathbf{= 90}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{90}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Given: BC = DA, LCBD = ZADB
Prove: ABCD = ADAB
Statements
Reasons
I need help:(
write the equation of the function if its rate of change is -14 and its intial value is 14
Answer:
[tex]f(x) = -14x + 14[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Value = 14[/tex]
[tex]Rate = -14[/tex]
Required:
Write as a function
Let x be the quantity that changes:
A function is of the form:
[tex]f(x) = mx + b[/tex]
Where
m = slope or rate
b = y intercept or initial value.
So, we can say that:
[tex]m = -14[/tex]
[tex]b = 14[/tex]
Substitute values for b and m in [tex]f(x) = mx + b[/tex]
[tex]f(x) = -14x + 14[/tex]
how many digits are there in 5¹⁰.4⁴.6³?
Answer:
90000000000 (11 digits)
Step-by-step explanation:
9216 x 5 to the 10th power
Please help!!!!
(Show work if possible)
Hii Answer this please :)))((((
Answer:
C: 4cm, 8cm, 8cm
Step-by-step explanation:
The isosceles triangles have two sides that are the same.
hope this helped
bye
Answer:
C: 4cm, 8cm, 8cm
Step-by-step explanation:
bc i know it i think this the answer
What is the value of s?
s = __°
Answer:
50 what
Step-by-step explanation:
Out of a group of 100 people surveyed,
63 have a car,
27 have a bike,
12 have a skateboard,
20 have a car and a bike,
8 have a car and a skateboard,
9 have a bike and a skateboard, and
5 have a car, a bike, and a skateboard.
How many people in the survey do not own a car, a bike, or a skateboard?
A. 27
B. 28
C. 29
D. 30
E. 32
Answer: D. 30
Step-by-step explanation:
Given that:
63 have a car,
27 have a bike,
12 have a skateboard,
20 have a car and a bike,
8 have a car and a skateboard,
9 have a bike and a skateboard, and
5 have a car, a bike, and a skateboard.
Car and bike only :(20 - 5) = 15
Car and skateboard only = (8 - 5) = 3
Car only = 63 - (15 + 3 + 5) = 40
Bike and skateboard only = (9 - 5) = 4
Bike only = 27 - (15 + 5 + 4) = 3
Skateboard only = 12 - (3 + 5 + 4) = 0
Number of people in the survey do not own a car, a bike, or a skateboard: = x
(40+0+3+15+3+5+4+x) = 100
70 + x = 100
x = 100 - 70
x = 30
-5x=-6
what is the value of x?
Answer: x=6/5
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
[tex]\frac{m}{y}=gh\\solve for m[/tex]
PLEAD HELP ME FAST!!!!
Answer:
i can't really see to clear ..
Step-by-step explanation:
Who ever gets this question right is BRAINLIEST. Answer For 15 Points
Answer:
ITS C:D pls give brainliest
Step-by-step explanation:
add all it equals C, 16.25
Your field experience instructor wants to line up 7 cars for transportation to a grade school. Between you and your classmates, there are 29 cars available. How many different groups of 7 cars are possible? different groups
Answer:
1560780 selections
Step-by-step explanation:
Given
Cars = 29
Selection = 7
Required
Possible number of selections
The interpretation of the question is that, in how many ways can 7 cars be selected from 29.
This is done using combination formula as follows:.
[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]
Where
[tex]n = 29[/tex]
[tex]r = 7[/tex]
So, the formula becomes:
[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]
[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]
[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]
[tex]^{29}C_7 = 1560780[/tex]
Hence, the number of ways is 1560780
The actual distance between two cities is 2250 miles. The distance between the two cities on a map is 15 inches. What is the scale of the map?
Answer: It should be 1 in. : 150 mi.
Answer:150
Step-by-step explanation:
a year later
Matt has started a car washing business to save money for college. Each week, he
washes 3 more cars than he did the week before.
Answer:
Since this equation is not complete, I will just give an example.
Step-by-step explanation:
Lets say Matt starts out with 6 cars in week one. For the next week, just add the number 3 to the preexisting number (6), which will give you 9. Now, lets say he washes cars for 10 weeks to save money. All you would have to do is add a 3 each time to the preexisting number. So, it would go 6, 9, 12, 15, 18, 21, 24, 27 30, 33. The answer to the equation I created above is 33. I hope this helps you solve your question.