Answer:
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
In this question:
We have that:
[tex]a^2 + 2ab + b^2 = x^2 + 15x + ?[/tex]
Since [tex]a = x[/tex], we have that:
[tex]2ab = 15x[/tex]
[tex]2b = 15[/tex]
[tex]b = \frac{15}{2}[/tex]
Completing the square:
The term that completes the square is [tex]b^2[/tex]. So
[tex]b^2 = (\frac{15}{2})^2 = \frac{225}{4}[/tex]
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Select Parameter or Statistic to classify each statement.
1.) 85% of those surveyed were in favor of bike lanes.
Parameter or Statistic
2.) Each member of the soccer team has an average of 2 jerseys.
Parameter or Statistic
3.) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Parameter or Statistic
4.) The golf team's average score is 79.
Parameter or Statistic
Answer:
1) Statistic
2) Parameter
3) Statistic
4) Parameter.
Step-by-step explanation:
Parameter: is a number that describes the whole population.
Statistic: is a number that describes a sample.
The difference is:
50% of the cats are nice (parameter, because talks about all the cats)
out of 100 cats surveyed, 39 are nice (statistic, because talks about a sample of 100 cats)
Then:
1) 85% of those surveyed were in favor of bike lanes.
This only refers to the surveyed people, so this only refers to a sample (and not the population that this sample represents) then this is a statistic statement.
2) Each member of the soccer team has an average of 2 jerseys.
In this case, we are talking about the whole population (the soccer team) then this is a parameter
3) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Here the information is about the sample (only 100 swim teams). So here the correct option is statistic.
4) The golf team's average score is 79
Here the information is about the average score for the entire golf team, so this information is about all the population in the golf team, then in this case the correct option is parameter.
Answer:
Statistic
Parameter
Statistic
Parameter
Step-by-step explanation:
i took the test :)
PLEASE HELP
On the graph below, Point A is located at the intersection of angle θ and the unit circle.
What are the exact coordinates of point A?
Use the on-screen keyboard to type the answer in the box below.
https://imgur.com/a/UwbnsCV
Answer:
1/2,
Step-by-step explanation: Please find the attached image of unit circle.
We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.
We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.
We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .
Find the volume of cylinder
Answer:
1539.4 rounded
Step-by-step explanation:
Have a great day
plzzzzzzzz help for a brainly
Answer:
35
Step-by-step explanation:
the answer is 35 because a straight line is 170° and 135+35 is 170
A pound of chocolate costs 8 dollars. Kala buys p pounds. Write an equation to represent the total cost c that Kala pays.
Answer:
8p=c
Step-by-step explanation:
For questions like this, it isn't asking for a numerical answer or anything complicated. It's mainly just using common sense and figuring out what you would do if you had actual numbers instead of variables. You would multiply the amount of pounds (p) by the cost per pound of $8, and that would be your answer (c). I hope I could help.
Angles of Triangles Scavenger Hunt Answer Key
Which of the following expressions can be set
equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74
Given:
The expression is:
[tex]2.74x-7.9[/tex]
To find:
The expressions that can be set equal to the given expression to form an equation that has no solution.
Solution:
We have,
[tex]2.74x-7.9[/tex] ...(i)
An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.
The expression with same variable term and different constant term is:
[tex]2.74x+7.9[/tex] ...(ii)
Because on equating (i) and (ii), we get
[tex]2.74x-7.9=2.74x+7.9[/tex]
[tex]-7.9=7.9[/tex]
This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.
Therefore, the correct option is C.
Heather had 20 stickers. She bought 27 stickers from a store in the mall and got 6 stickers for her birthday. Then Heather gave 4 of the stickers to her sister and used 11 to decorate a greeting card. How many stickers does Heather have left?
Answer:
38 stickers
Step-by-step explanation:
20+27=47
47+6=53
53-4=49
49-11=38
20+27+6-(4+11)=38 stickers
elementary math! please help Mark brainlist
Answer: 1 minute and 43 seconds faster
Step-by-step explanation:
Answer:
1 minute and 43 seconds faster
Step-by-step explanation:
Does anyone know the answer
Answer:
d = 126, z = 28
Step-by-step explanation:
The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)
Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?
a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y
9514 1404 393
Answer:
a. the volume of cube y is 125 times the volume of cube x
Step-by-step explanation:
The volume of cube x is ...
V = s³ = (1 in)³ = 1 in³
The volume of cube y is ...
V = (1 in + 4 in)³ = (5 in)³ = 125 in³
The volume of cube y is 125 times the volume of cube x.
A theater sold 465 tickets for the morning show and 576 tickets for the evening show. The theater makes $16 for each ticket sold. How much money did the theater make selling tickets for the morning show? ANSWE QUICKKK
What function is represented ?
A quartic function
An exponential function
A cubic function
A quadratic function
A linear function
Answer:
A cubic function
Step-by-step explanation:
I graphed it and connected the lines on desmos then compared to the types of calculus graphs on the search engine.
what is the answer for this one?
2x + 3 = 9. x
Answer:
3/7
Step-by-step explanation:
You want to seperate the numbers from the variable.
PLEASE HELP!Write the standard form of equation with p=sqrt3, 0=150°
Answer:
I heard it's not b
Step-by-step explanation:
was A the correct answer?
PLS I NEED HELP FAST
Find the surface area of the cone.
Answer:
373.8
Step-by-step explanation:
Pls pls pls pls help pls
Answer:
only 5
Step-by-step explanation:
what is the area of this figure?
Answer:
4 ssquare units
Step-by-step explanation:
How many tenths are in 8.32?
Answer:
3 tenths
Step-by-step explanation:
Plsss help I am falling
Answer:
that sucks
Step-by-step explanation:
srry man i got nothin
Factor this trinomial. Your answer should consist of two binomials.
n^2-11n +28
Answer:
(n-4)(n-7)
Step-by-step explanation:
hopefully that helps
the difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
What is the sum? Complete the equation.
8+(-18) =
In London today, twice the low temperature was less than three times
the low temperature minus ten. In interval form, what are the possible
temperatures?
Three numbers are in the ratio 5 :3 : 2. If the sum of their squares is 5472, find the three numbers
Answer:
60 36 24
Step-by-step explanation:
5 3 2
25x +9x + 4x = 5472
38x = 5472
x = 144
25(144) = 3,600 9(144) = 1,296 4(144) = 576
60² = 3,600 36²= 1,296 24² = 576
3,600 + 1,296+576 = 5,472
The County Fair features rides, exhibitions, and games of chance. Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer lands on any letter in the phrase “COUNTY FAIR,” the contestant wins a prize.
Part B:
Of the first 52 contestants, exactly 12 contestants win the game. How does the actual number of winners compare to the expected number of winners? What needs to happen for the experimental probability to approach the theoretical probability? Explain.
Answer:
woow
Step-by-step explanation:
Answer:
Step-by-step explanation:
cheese
write an integer addition expression that equals -4
Answer:
-6 + 2 = -4
Step-by-step explanation:
-6 + 2 = -4
QUICK PLEASE HELP!!
I WILL MARK BRAINLIEST!!!
25) Margie needs to borrow $9,000 from a local bank. The
loan has a 8.5% interest rate for 4 years. What will
Margie's monthly payment be?
A) $ 221,850.00
B) $3060.00
C) $250.0
D) $ 221.85
Answer:
B) $3060.00
Step-by-step explanation:
8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.
I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.
I'm not sure if this is correct
. A section of rope 5 inches long represents 20% of the length of the entire rope. How long is the rope?
Answer:
full length = 25 in.
Step-by-step explanation: .
20% is 1/5 of 100% so in order to find 100% of the length, multiply 5in (20%) by 5 to get to the 100% which will give you 25in.