A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?
Answers
Answer:
25%
Step-by-step explanation:
Looking at the attached diagram, we can see that the box plot is divided into 3 sections,
Q1 = First Quartile (1/4 the players) = 25%
Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%
Q3 = Third Quartile (3/4 of the players) = 75%
From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below
The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%
= 25%
The percentage of players weighing greater than or equal to 242 pounds is 25 %.
Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.[tex]Q_{1}[/tex] = First Quartile , which represent [tex]\frac{1}{4}[/tex] part of the player. That is 25%[tex]Q_{2} =[/tex] Second Quartile ,which represent 1/2 of the players= 50%[tex]Q_{3}=[/tex]Third Quartile , which represent 3/4 of the players = 75%From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.
It means that 75% of the players weigh 242 pounds and below
Hence, The percentage of players weighing greater than or equal to 242 pounds is,
[tex]100-75=25[/tex]
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Related Questions
what is the 7th term of the geometric sequence below? 7,-14,28,-56
Answers
Answer:
The 7th term of given sequence is: 448
Step-by-step explanation:
Given sequence is:
7,-14,28,-56
Here
a1 = 7
a2 = -14
a3 = 28
First of all we have to find the common ratio. The common ration is the ratio between two consecutive terms of a geometric sequence and is same for all consecutive terms of a geometric sequence.
So,
[tex]r = \frac{a_2}{a_1} = \frac{-14}{7} = -2\\r = \frac{a_3}{a_2} = \frac{28}{-14} = -2\\[/tex]
The common ratio is -2.
The general formula for geometric sequence is given as:
[tex]a_n = a_1r^{(n-1)}[/tex]
Putting values
[tex]a_n = 7.(-2)^{n-1}[/tex]
For 7th term, putting n=7
[tex]a_7 = 7*(-2)^{7-1}\\= 7 * (-2)^6\\= 7 *64\\= 448[/tex]
Hence,
The 7th term of given sequence is: 448
Answer:
A
Step-by-step explanation:
A parking lot has seventy-six parking spaces numbered from 1 to 76. There are no cars in the parking lot when Jillian pulls in and randomly parks. What is the probability that the number on the parking space where she parks is greater than or equal to 31?
Answers
The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 or 0.5921 .
Given, Jillian parks her car randomly in a parking slot of 76 spaces.
Total number of Parking spots : 76
Number of parking spots above number 31 : 76 - 31 = 45
Probability = Successful events/ Total events
Probability = 45/76
The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 .
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Arthur is playing a television game show. He starts with 0
points. Arthur answers questions with the following point
values: 30, -20, 10, -20, 60, -100
What is the point value of a question Arthur can answer so
that he has 0 points again
A. -60
B. -40
C. 40
D. 60
Answers
Answer: -40
Step-by-step explanation:
1. 30 -20 = 10
2. 10 + 10 = 20
3. 20 - 20 = 0
4. 0 + 60 = 60
5. 60 - 100 = -40
Does anyone know ?!!!
Answers
Answer:
72 square units
Step-by-step explanation:
area of a paralellogram = bh
Base = 6
Height = 12
6 x 12 = 72 square units
The original price of a desk was $80. And its price was marked
down to $70 during the holiday. What was the percentage of
discount for the desk during the holiday?
Answers
Answer:
Required Answer:-Amount of discount =80-70=10$
percentage:-
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{10}{80}}\times 100 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {10}{4}}5 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {50}{4}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 12.5\% [/tex]
Answer: the answer is 12.5
Step-by-step explanation:
HEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLPPPPPPPPPPPPPPPPPPPP
Luke loaned $3500 to his sister. His sister agreed to repay Luke in a year, with 2% simple interest on the $3500. What is the total amount that Luke’s sister will repay?
Answers
Answer:70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
Determine the remaining sides and angles of the triangle ABC
what is the measure of angle B
what is the length of side a
what is the length of side b
Answers
Answer:
The measure of angle B is 41.5°
The length of side a is 30.6 feet ⇒ to the nearest tenth
The length of side b is 32.9 feet ⇒ to the nearest tenth
Step-by-step explanation:
The sum of the measures of the interior angles in a triangle is 180°In the given Δ ABC
∵ m∠A = 38.1°
∵ m∠C = 100.4°
→ By using the fact above
∵ m∠A + m∠B + m∠C = 180°
∴ 38.1 + m∠B + 100.4 = 180
→ Add the like terms in the left side
∴ 138.5 + m∠B = 180
→ Subtract 138.5 from both sides
∴ m∠B = 41.5°
∴ The measure of angle B is 41.5°
∵ a is the opposite side of ∠A
∵ b is the opposite side of ∠B
∵ c is the opposite side of ∠C
→ By using the sine rule
∴ [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4
→ Substitute them in the sine rule above
∴ [tex]\frac{a}{sin38.1}[/tex] = [tex]\frac{b}{sin41.5}[/tex] = [tex]\frac{48.4}{sin100.4}[/tex]
→ By using cross multiplication between the 1st and the 3rd fractions
∴ a × sin 100.4 = 48.8 × sin 38.1
→ Divide both sides by sin 100.4
∴ a = 30.61429861
∴ The length of side a is 30.6 feet ⇒ to the nearest tenth
→ By using cross multiplication between the 2nd and the 3rd fractions
∴ b × sin 100.4 = 48.8 × sin 41.5
→ Divide both sides by sin 100.4
∴ b = 32.87596206
∴ The length of side b is 32.9 feet ⇒ to the nearest tenth
Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^2-6 1/4b^2
Answers
Answer:
[tex] - \bigg(3a - \frac{5}{2} b) \bigg)^{2} [/tex]
Step-by-step explanation:
[tex]15ab-9a^2-6 \frac{1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\ \\ = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2 \\ \\ = - \{ - 15ab + (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 \} \\ \\ = - \{ (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 - 15ab \} \\ \\ = - \bigg(3a - \frac{5}{2} b \bigg)^{2} [/tex]
6x⁴+5x³-10x+4 how to factorize this polynomial
Answers
Yes, this is polynomial, and your answer will be:
(2x − 1) (3x − 2) (x^2 + 2x + 2)
Edit:
Factor 6x^4 + 5x^3 − 10x + 4 using the rational roots test.
(2x − 1) (3x^3 + 4x^2 + 2x − 4)
Factor 3x^3 + 4x^2 + 2x − 4 using the rational roots test.
(2x − 1) (3x − 2) (x2 + 2x + 2)
The factorized form of the given polynomial is (2x − 1)(3x − 2)(x² + 2x + 2).
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomial is given in the question, as follows:
6x⁴ + 5x³ − 10x + 4
We have to factor using the rational roots test,
⇒ (2x − 1)(3x³ + 4x² + 2x − 4)
Similarly, factor 3x³ + 4x² + 2x − 4 operates the rational roots test.
⇒ (2x − 1)(3x − 2)(x² + 2x + 2)
Thus, the factorized form is (2x − 1)(3x − 2)(x² + 2x + 2).
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PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
x = 6
Step-by-step explanation:
first find the angle
51 + 72 + x = 180
123 + x = 180
x = 180 - 123
x = 57
so the third angle is 57
now find the value of x in the given expression
8x + 9 = 57
8x = 57 - 9
8x = 48
x = 48/8
x = 6
now check whether the value of x is correct or not by evaluating the value of x in expression
8x + 9 = 57
8(6) + 9 = 57
48 + 9 = 57
57 = 57
so its true
Method 2
51 + 72 + (8x + 9) = 180
123 + 8x + 9 = 180
132 + 8x = 180
8x = 180-132
8x = 48
x = 48/8
x = 6
now again you can check by evaluating the value of x in the above expression
Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation represents all numbers of points, p, a player may have after his or her first turn of the game? A. p = 4 B. p = –4 C. |p| = 4 D. |p| = –4
Answers
Answer:
C |p| = 4
Step-by-step explanation:
If a player wins 4points during each turn, then, the total points will be +4points
If the player looses 4points, total points lost will be -4points
The total number of point p the player can have will be represented as;
|p| = 4 (since is both positive and negative 4 )
Note that the nodulus of a variable will return both positive and negative value of that variable
Given that p(n)=4n2+4n−6 and q(n)=n2−5n+8, find (p−q)(3).
a. 26
b. 38
c. 40
d. 42
Answers
Answer:
(p-q) (3) = 40 The anwser is c
Step-by-step explanation:
If p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
p(n)=4n²+4n−6 and q(n)=n²−5n+8
Substitute the given values and apply the arithmetic operation as,
(p−q) = (4n²+4n−6) - (n²−5n+8)
(p−q) =3n²-n+2
Put n = 3 for the given conditions,
(p−q)(3) =3(3)² - 3 +2
(p−q)(3) =27-3+2
(p−q)(3) =29-3
(p−q)(3) =26
Thus, if p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
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in un rombo l'area e' di 234,95c2 , mentre l'altezza misura 12,7cm
Answers
Answer:
la diagonale più lunga dovrebbe essere 37cm.
Step-by-step explanation:
Se cerchi la diagonale più lunga la formula dovrebbe essere questa:
A=p*(q/2)
234,95 = 12,7*(x/2)
234,95/12,7 = x/2
18,5 = x/2
18,5*2 = x
37 = x
can somone help me pls ?
Answers
[tex]\huge\mathtt{Hello!}[/tex]
[tex](6x - 23) = (4x + 9)[/tex]
[tex]6x -4x = 9 + 23[/tex]
[tex]2x = 32[/tex]
[tex]x = 16[/tex]
It is because the sides are equal, so the angles opposite to them also are equal.
Have a nice day!
-4x = -4x
______________
2x -23= 9
2x +23= + 23
2x = 32
/ 2x. /2
X = 16
First, you cancel out the x by moving the one in the right to the left. You subtract the 6 from the left to the one in the right, giving you 2x. Then you cancel out the number on the left to the right (same thing as the x, remember by cancelling a number out you make it the opposite of what it is so if it’s negative it turns to positive to cancel out). Final step is to cancel out the x so you can divide it by the number that’s left to get the x by itself !
Use substitution.
2x +3y = -5
4x+3y= 17
Answers
Answer:
Step-by-step explanation:
-2x -3y = 5
4x + 3y = 17
2x = 22
x = 11
4(2) + 3y = 17
8 + 3y = 17
3y = 9
y = 3
(11,3)
Answer:
x=11, y=-9
Step-by-step explanation:
Is ABC a right angle? Why or why not?
Answers
Answer:
3.Yes, because triangle ABC has a 90 degree angle.
4.No, because triangle XYZ doesn’t have a 90 degree angle.
Find the value of z such that 0.02 of the area lies to the right of z. Round your answer to two decimal places.
Answers
The value of z-score such that 0.02 of the area lies to the right of z would be 2.06.
Given that,
0.02 of the area lies to the right of z.
Now, for the value of z such that 0.02 lies to the right of z, we can make use of the standard normal distribution table.
Since to determine the value of z such that 0.02 of the area lies to the right, we need to find the z-score associated with the cumulative probability of (1 - 0.02) = 0.98
Now for the value of 0.98 in the standard normal distribution table, we find that the corresponding z-score is 2.06.
Therefore, the value of z, rounded to two decimal places, is 2.06.
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The value of z such that 0.02 of the area lies to the right of z is approximately 2.05 (rounded to two decimal places).
To find the value of z such that 0.02 of the area lies to the right of z, we need to determine the z-score associated with that probability.
Since we're looking for the area to the right of z, we can use the standard normal distribution table or a statistical calculator to find the corresponding z-score.
By searching the table or using a calculator, we can find that the z-score associated with a right-tail probability of 0.02 is approximately 2.05.
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rationalise the denominator and simplify
Answers
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \\ [/tex]
[tex] \bf \underline{What\: to\: do-} \\ [/tex]
To rationalise the denominator
[tex] \bf \underline{Solution-} \\ [/tex]
[tex]\textsf{We have,}[/tex]
[tex] \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \\ \\ [/tex]
[tex]\textsf{The denominator is 5+2√3. Multiplying the numerator and denominator by 7-4√3,}\\[/tex]
[tex]\textsf{we get,}\\[/tex]
[tex] ⟹\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ [/tex]
[tex]⟹ \frac{(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3}) }{(7 + 4 \sqrt{3} )(7 - 4 \sqrt{3}) } \\ \\ [/tex]
[tex]\textsf{⬤ Applying Algebraic Identity
(a+b)(a-b) = a² - b² to the denominator}\\[/tex]
[tex]\textsf{We get,}\\[/tex]
[tex]⟹ \frac{(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3}) }{(7 {)}^{2} - (4 \sqrt{3} {)}^{2} } \\ \\ [/tex]
[tex]⟹ \frac{35 + 14 \sqrt{3} - 20 \sqrt{3} - 8 \sqrt{3 \times 3} }{49 - 48} \\ \\ [/tex]
[tex]⟹ \frac{35 + 14 \sqrt{3} - 20 \sqrt{3} - 24 }{1} \\ \\ [/tex]
[tex]⟹(35 - 24) - 6 \sqrt{3} \\ \\ [/tex]
[tex]⟹11 - 6 \sqrt{3} \: \: \: \tt \red{ Ans}. \\ \\ [/tex]
[tex] \bf \underline{Hence \:the \:denominator\: is\: rationalised.}\\[/tex]
Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x. (1 point) −x − 10 > 14 + 2x −3x −10 > 14
Answers
Answer:
Step-by-step explanation:
Given the inequality −x − 10 > 14 + 2x
This are the steps to solve the expression for x;
−x − 10 > 14 + 2x
Step 1: Add to to both sides
−x − 10+10 > 14 + 2x+10
-x > 24+2x
subtract 2x from both sides
-x-2x >24+2x-2x
-3x>24
Divide both sides by 3;
-3x/-3 < 24/-3
x < -8 (Note the change in inequality sign. It was changed because we divided through with a negative value)
Sombody tell me what the y intercept is
Answers
Answer:
1
Step-by-step explanation:
The line is crossing over the y-axis on the 1.
Answer:
(0,1)
Step-by-step explanation:
The y-intercept is always the point where the line crosses the y-axis.
Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time
Answers
Answer: 109.5
Step-by-step explanation: EACH year for three years would be 1095 if you multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped
Can you guys help me quick please Becuase it’s due today please answer all my question that I posted
Answers
Answer:
y = x + 3
Step-by-step explanation:
1 + 3 = 4
2 + 3 = 5
3 + 3 = 6
And so on
Find the Lcm of 9,12 and 24
Answers
Answer:
144
Step-by-step explanation:
Evaluate the expression.
1.2 exponent 2
answer choices =
1.44
14.4
1.728
1.5
Answers
Answer:
1.44
Step-by-step explanation:
Answer:
the answer is 1.44
Step-by-step explanation:
Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.
Your welcome
Johnny took a math test with 25 questions He answered 22 questions correctly in order to get an a he had to get 90% of them right. On the same exam Johnny's friend Jessie answered 4 times more questions correct than incorrect. Who got a higher percentage on the test. Johnny or Jessie?
Answers
Answer:
Jessie
Step-by-step explanation:
Jessie answered 4 more times correct that Johnny so she will get a better grade.
A video game has the following formula:
For every 1,701 in attack power, you gain 3 levels.
You get one bonus star per every 33 levels completed.
If a player has an attack power of 0.04 million, how many bonus stars could they get?
Round to a whole number.
Answers
Answer:
2 bonus stars
Step-by-step explanation:
0.04 million= 40,000
40000/1701= 23.5
23.5(3)= 70.5
70.5/33= 2 stars
PLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number}
Answers
Answer:
Since this graph is continuing, y must be any real number. So, d.
Ra'Shaela is going to the store to buy candy. She has $3.45 in dimes and
quarters in her pocket. Write an equation to represent the number of dimes
and quarters that Ra'Shaela could have in her pockets
Answers
$3.25+ 2(.10) = .20 (2 dimes)
$3.25+.20= $3.45
Order the following integers from least to greatest -25,-41,36,28,and16
Answers
Name how the triangles are congruent in this image