Answer:
Basketball players are generally taller.
Basketball player heights vary slightly more.
Step-by-step explanation:
I hope this helps!
Basketball players are taller because the average (mean) of basketball players is greater than soccer players.
Basketball player heights vary more because the MAD is greater or more than the soccer players.
Basketball players are generally taller. Basketball player heights vary slightly more.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Basketball players are taller because the average (mean) of basketball players is greater than soccer players.
Basketball player heights vary more because the MAD is greater or more than the soccer players.
Therefore, basketball players are generally taller. Basketball player heights vary slightly more.
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Which of the following choices must be true in order for ΔABC ≅ ΔEDC by the AAS congruency theorem? ∠B ≅ ∠D ∠A ≅ ∠E AC ≅ EC AB ≅ DE
Answer:
∠A ≅ ∠E
Step-by-step explanation:
The AAS (Angle-Angle -Side) congruence theorem implies that triangles ABC and EDC are congruent if both have equal two angles and a non included side.
In the given figures,
<ACB ≅ <ECD (vertical opposite angles)
BC ≅ DC (congruence property)
<ABC ≅ <EDC (alternate angles property)
∠A ≅ ∠E (alternate angle property)
With respect to AAS congruence theorem, ∠A ≅ ∠E is the correct option.
CAN SOMEONE TUTOR ME PLSSSSS ????
Answer:
[tex] \frac{105}{4} [/tex]
please see the attached picture for full solution..
hope it helps...
Good luck on your assignment..
The length of a rectangle is 2 less than 3 times its width. If the area of the rectangle is 96cm², what is the length of the rectangle?
Answer:
[tex] \boxed{\sf Length \ of \ the \ rectangle = 16 \ cm} [/tex]
Given:
Area of the rectangle = 96 cm²
Length of the rectangle = 2 less than 3 times it's width
To Find:
Length of the rectangle
Step-by-step explanation:
Let the width of the rectangle be 'w'.
So,
Length of the rectangle = 3w - 2
[tex]\sf \implies Area \ of \ rectangle = Length \times Width \\ \\ \sf \implies 96 = (3w - 2) \times w \\ \\ \sf \implies 96 = 3 {w}^{2} - 2w \\ \\ \sf \implies 3 {w}^{2} - 2w = 96 \\ \\ \sf \implies 3 {w}^{2} - 2w - 96 = 0 \\ \\ \sf \implies 3 {w}^{2} - (18 - 16)w - 96 = 0 \\ \\ \sf \implies 3 {w}^{2} - 18w + 16w - 96 = 0 \\ \\ \sf \implies 3w(w - 6) + 16(w - 6) = 0 \\ \\ \sf \implies (w - 6)(3w + 16) = 0 \\ \\ \sf \implies w - 6 = 0 \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: 3w + 16 = 0 \\ \\ \sf \implies w = 6 \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: 3w = - 16 \\ \\ \sf \implies w = 6 \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: w = - \frac{16}{3} [/tex]
Width can't be negative. So,
Width of the rectangle = 6
Length of the rectangle = 3w - 2
= 3(6) - 2
= 18 - 2
= 16 cm
The length of the rectangle is 16 cm
The width of the rectangle is 6 cm
What is the Area of a Rectangle?
The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be = 96 cm²
Let the length of the rectangle be = L
Let the width of the rectangle be = W
Now ,length of a rectangle is 2 less than 3 times its width
Substituting the values in the equation , we get
L = 3W - 2
Now , the area of the rectangle = L x W
So ,
96 = ( 3W - 2 ) x W
On simplifying the equation , we get
96 = 3W² - 2W
Subtracting 96 on both sides of the equation , we get
3W² - 2W - 96 = 0
3W² - 18W + 16W - 96 = 0
Taking 3W as the common factor , we get
3W ( W - 6 ) + 16 ( W - 6 ) = 0
( W - 6 ) ( 3W + 16 ) = 0
Now , the width of the rectangle cannot be negative , so
W - 6 = 0
Adding 6 on both sides of the equation , we get
W = 6 cm
Now , the length of the rectangle L = 3W - 2
L = 3 ( 6 ) - 2
L = 18 - 2
L = 16 cm
Therefore , the value of L is 16 cm
Hence , the length of the rectangle is 16 cm
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The equation of a line is y = 4x + 15. what is the y-intercept of the line.
Answer:
15
Step-by-step explanation:
[tex]y = 4x + 15 \\ equating \: it \: with \\ y = mx + b \\ we \: find \\ b = 15 \\ \implies \: y - intercept = 15[/tex]
Answer:
Y intercept = 15
Step-by-step explanation:
Formula we use,
→ y = mx + b
→ b = y intercept
Then the y intercept will be,
→ y = mx + b
→ y = 4x + 15
→ [ b = 15 ]
Thus, required answer is 15.
yooo plz help asap!!! marking brainiest answer!!!
Answer:
C.
Step-by-step explanation:
You are looking for an equation that, when you input 0 for x, you get 4 for y, and when you input -5 for x, you get -1 for y.
That only works for Option C.
Hope this [sorta] helps!
Answer:
C
Step-by-step explanation:
C
if y varies inversely as x and y=6 when x=8 find y when x=7
Answer:
y = 5 1/4
Step-by-step explanation:
For direct or inverse variation relation
relation between two variable and y can be expresses in form of
y = kx where k is constant of proportionality .
Only thing happens in inverse relation is that when x increases then y decreases and vice versa. That is care by constant of proportionality
__________________________________
Thus, let the inverse relation be
y = kx
given
when y = 6 then x = 8
we will plug this value in y = kx
6 = k*8
=>k = 6/8 = 3/4
Thus,
relation is
y = 3/4 x
we have to find y when x = 7 ,
lets put x = 7 in y = 3/4 x
y = 3/4 *7 = 21/4 = 5 1/4
Thus, when x = 7 then y = 5 1/4
Question is down below
Answer:
a ) [tex]2 / n[/tex],
b ) [tex]15[/tex]
Step-by-step explanation:
This is a nice and short question we have here.
Given that a bag has n counters, and that one counter is blue, respectively the rest is red, if two counters are taken at random there isn't a definite percentage that one of the counters chosen is red or blue, but there is a fractional representation of this.
We could express n ( number of counters ) to form a probability of 2 / n. As you can see, two counters are taken at random over n counters, and thus we derived this fraction.
a ) [tex]2 / n[/tex]
____
Now we have this second part -
[tex]2 / n = 2 / 16,\\16 - 1 = 15[/tex]
Therefore, there are 15 red counters. Hope that helps!
USE THE IMAGE ATTACHED BELOW please help me with my work answer it correctly I HAVE SO MUCH WORK DURING QUARANTINE
Answer:
Question 1:
a. The answer is B because the graph inclined really quickly and then it inclined at a much slower pace, suggesting that the person was running and then walking.
b. The answer is C because you can see on the graph that after a while, the distance from the starting point goes back to 0, indicating that the person forgot something at home.
Question 2:
a. The dashed line reaches the bottom at 15:30 so the answer is C.
b. Siobhan travels 8 km to go from home to school so the answer is 2 * 8 = 16 which is option D.
Question 3:
The answer is C because after the distance from the starting point increased, it then decreased and came back to the original point suggesting that he walked, turned around and walked back to the starting point.
Answer:
first page : a) A because it is the shortest time with no stop
b) C the graph goes up and return to the start point after a while
second page : it is at 3:30 0r 15:30
b): 8 km going to schools and 8 coming back is 16
third page it is C because he walk up a certain distance and come back to the starting point
PLEASE HELP ME! can someone explain this to me pls?
Solve: 3/x-4 >0 A.x -4 C.x>4 D.x<-4
Answer:
C. x>4
Step-by-step explanation:
3/(x-4) > 0
3>0, so
x-4 >0
x > 4
Examine the diagram of circle C. Points Q, V, and W lie on circle C. Given that m∠VCW=97∘, what is the length of VW⌢?
Answer:
[tex] \frac{97pi}{18} m [/tex]
Step-by-step Explanation:
==>Given:
radius (r) = 10 m
m<VCW = 97°
==>Required:
Length of arc VW
==>Solution:
Formula for length VW is given as 2πr(θ/360)
Using the formula, Arc length = 2πr(θ/360), find the arc length VW in the given circle
Where,
θ = 97°
r = radius of the circle = 10 m
Thus,
Arc length VW = 2*π*10(97/360)
Arc length VW = 20π(97/360)
Arc length VW = π(97/18)
Arc length VW = 97π/18 m
Our answer is,
[tex] \frac{97pi}{18} m [/tex]
Jose’s school has 426 students. His principal has promised the Student Council that their idea will be carried out if they can get at least 25% of the student population to sign a petition. So far, 82 students have signed the petition. Jose used the following steps to write an inequality that can be used to determine the number of student signatures still needed: Step 1. Declare the variable: Let x = the number of student signatures still needed. Step 2. Create a ratio equivalent to StartFraction total number of signatures needed over total number of students in the school EndFraction : StartFraction x + 82 over 426 EndFraction. Step 3. Convert 25% to a decimal: 25% = 0.25. Step 4. Write the inequality: StartFraction x + 82 over 426 EndFraction less-than-or-equal-to 0.25. What is Jose’s error? In Step 1, x should be equal to the total number of students in the school. In Step 2, the ratio should be StartFraction x over 426 EndFraction. In Step 3, the decimal should be 0.025. In Step 4, the inequality should
Answer: Step 4
Step-by-step explanation:
1. Define variable x as student signatures still needed (Correct)
[tex]2)\ \dfrac{x+82}{426}[/tex] (Correct)
3. 25% = 0.25 (Correct)
[tex]4)\ \dfrac{x+82}{426}\leq 0.25[/tex] (Error)!
The inequality symbol should be GREATER THAN or equal to (≥) because Jose needs 25% or more (not less).
Answer:
In Step 4, the inequality should be StartFraction x + 82 over 426 EndFraction greater-than-or-equal-to 0.25.
¯\_ _/¯
( ﾉ ﾟｰﾟ)ﾉ ＼(ﾟｰﾟ＼)
Please help me which one is correct please help me fast answer if you can please
Answer:
C. 2mn and mn^2
Step-by-step explanation:
All of the other options are like terms.
Option A: -x+3x=2x
Option B: 4a+7a=11a
Option D. 3p^2q+(-p^2q)=2p^2q
Option C: These terms are not like terms since 2mn is not squared while mn^2 is squared.
Hence,
the correct option would be C.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
The thrid option or 2mn and mn^2
Step-by-step explanation:
Like terms are sets of terms that have the same variables and powers. All these answer choices have the same variables but answer c are not like terms because the second term is raised to the power of 2 and the first is not. Coefficients do not matter for like terms.
SOMEONE HELPPP PLEASEEEE
Answer:
a. Domain = All real numbers
Range = y ≥ 2
b. Domain = -4 < x ≤ 4
Range = 0 ≤ y < 4
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, draw a 2nd piece of fruit from the basket, keep that, and then draw a third piece of fruit from the same basket.What is the probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded?
Answer:
The probability that the fruits will be selected in the order of banana then apple then orange is 0.1094
Step-by-step explanation:
The given information are;
The number of bananas = 4
The number of apples = 3
The number of oranges = 5
The total number of fruits are 4 + 3 + 5 = 12
The probability of selecting a banana, p(b) = 4/12 = 1/3
The probability of selecting an apple, p(a) = 3/12 = 1/4
The probability of selecting an oranges, p(o) = 5/12
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket with replacement is the product of the individual probabilities found as follows;
p(p(b) then p(a) then p(o)) =
The number o
The probability that the first fruit is a banana = ₁₁C₃×(1/3)^(3)×(2/3)^8 = 0.2384
The probability that the second fruit is an apple = ₁₁C₃×(1/4)^(3)×(3/4)^8 = 0.258
The probability that the third fruit is an apple = ₁₁C₃×(5/12)^(3)×(7/12)^8 = 0.16
The total probability = 0.2384 + 0.285 + 0.16 = 0.657
The number of ways in which the three can be selected = 3 × 2 × 1 = 6 ways
Therefore, the probability that the fruits will be selected in the order of banana then apple then orange = 0.657/6 = 0.1094.
Round
7.8652
to 2 decimal places.
Answer:
7.87?
Step-by-step explanation:
Mario writes the equation (x+y ) 2 = z 2 +4( 1 2 xy) (x+y)2=z2+4(12xy) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
Answer:
For the drop down menu:
i) x + y
ii) z²
iii) ½ xy
The complete question related to this found on brainly (ID:16485977) is stated below:
Mario writes the equation (x+y)² = z² +4( 1/2 xy) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
_____finds the area of the outer square by squaring its side length.
_____finds the area of the outer square by adding the area of the inner square and the four triangles.
These expressions are equal because they both give the areas of outer space.
Find attached the diagram of the question.
Step-by-step explanation:
Pythagoras theorem is a formula that shows the relationship between the sides of a right angled triangle.
Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
From the diagram of the question.
Hypotenuse = z
Opposite = y
Adjacent = x
z² = x² + y²
Area of outer square = area of inner square + 4(area of triangles)
area of inner square = length² = (x+y)²
Expanding area of the outer square:
(x+y)² = (x+y)(x+y) = x²+xy+xy+y²
(x+y)² = x²+y²+2xy
= z² + 2xy
Area of inner square = length² = z²
Area of triangle = ½ base × height
= ½ × x × y = ½ xy
Area of outer square = area of inner square + 4(area of triangles)
(x + y)² = z² + 4(½xy )
Therefore, it is a true equation.
( x + y )² finds the area of the outer square by squaring its side length.
z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.
These expressions are equal because they both give the areas of outer space.
So for the drop down menu:
i) x + y
ii) z²
iii) ½ xy
Multiple the polynomials (3x^2+4x+4) (2x-4)
Answer:
6x³ - 4x² - 8x - 16
Step-by-step explanation:
Step 1: Distribute the 2x
6x³ + 8x² + 8x
Step 2: Distribute the -4
-12x² - 16x - 16
Step 3: Combine the 2 distributions
6x³ + 8x² + 8x - 12x² - 16x - 16
Step 4: Combine like terms
6x³
8x² - 12x² = -4x²
8x - 16x = -8x
-16
Step 5: Rewrite
6x³ - 4x² - 8x - 16
━━━━━━━☆☆━━━━━━━
▹ Answer
6x³ - 4x² - 8x - 16
▹ Step-by-Step Explanation
(3x² + 4x + 4) (2x - 4)
Distribute
3x²(2x - 4) + 4x(2x - 4) + 4(2x - 4)
Remove parentheses
6x³ - 12x² + 4x(2x - 4) + 4(2x - 4)
Collect like terms
6x³ - 12x² + 8x² - 16x + 8x - 16
6x³ - 4x² - 16x + 8x - 16
Solve
6x³ - 4x² - 8x - 16
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
(-3)(-)-4+ (-2)(09-11)
Slove the problem
Answer:
The answer is -8
Step-by-step explanation:
(3)(-4)=-12 (-2)(-2)=4
what is -5c plus 2 less than or equal to 27. I need this for very difficult homework if anyone can help :)
Answer:
c ≥ -5
Step-by-step explanation:
-5c +2 ≤ 27
Subtract 2 from each side
-5c +2-2 ≤ 27-2
-5c ≤25
Divide by -5, remembering to flip the inequality
-5c/-5 ≥25/-5
c ≥ -5
Answer: [tex]x\geq 5[/tex]
Step-by-step explanation:
[tex]-5x+2\leq 27\\Subtract\\-5x\leq 25\\Divide\\x\geq 5[/tex]
It's important to remember that when you divide both sides of an inequality by a negative number to flip the sign.
Hope it helps <3
There are 30 runners in a cross country race. How many different groups of runners can finish in the top 3 positions
There are 4060 different groups of runners.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
The formula of combination is [tex]^nC_r[/tex] = n!/r!(n - r)!
We have,
Number of runners = 30
Number of runners in the group = 3
The number of different groups of runners.
= [tex]^{30}C_3[/tex]
= 30 x 29 x 28 / 3 x 2
= 5 x 29 x 28
= 4060
Thus,
The number of different groups of runners is 4060.
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$5000 was invested into an investment that pays 4.25% simple interest. The total value of the investment amounted to $6593.75. How long was principal invested for?
Answer:
7.5 years
Step-by-step explanation:
P = $5000,
R = 4.25%,
A = $6593.75,
N =?
SI = A - P = 6593.75 - 5000 =$1593. 75
[tex] \because \: SI = \frac{ PNR}{100} \\ \\ \therefore \: 1593.75 = \frac{5000 \times N \times 4.25}{100} \\ \\ \therefore \: 1593.75 \times 100 = 21,250 \times N \\ \\ N = \frac{159375}{21250} \\ \\ N = 7.5 \: years \: [/tex]
-3(x-1) + 8(x-3) = 6x + 7 - 5x
Answer:
x=7
Step-by-step explanation:
-3(x-1)+8(x-3)=6x+7-5x
-3x+3+8x-24=6x+7-5x
5x-21=x+7
4x=28
x=7
Answer:
x=7
Step-by-step explanation:
-3(x-1) + 8(x-3) = 6x + 7 - 5x
Distribute
-3x +3 +8x -24 = 6x +7 -5x
Combine like terms
5x -21 = x+7
Subtract x from each side
5x-x-21 = 7
4x -21 =7
Add 21 to each side
4x-21+21 = 7+21
4x = 28
4x/4 = 28/4
x=7
help plz i will make u brainllest
Answer:
C. 3√7
Step-by-step explanation:
As we know, the product of projections is equal to square of altitude in the right triangle. Applied to the given triangle, we get:
9×7= y²y= √9×7y=3√7Choice C. 3√7 is the correct one
Answer: C. 3√7
Step-by-step explanation:
write a function that represents the situation: A population of 210,000 increases by 12.5% each year
Answer
y= 12.5x + 210,000
Step-by-step explanation:
This is a linear function because it is increasing constantly by 12.5 percent so it will me written as y=mx+b
The value of function that represents the situation is,
⇒ P = 210,000 (1.125)ⁿ
Where, n is number of years.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The situation is,
⇒ A population of 210,000 increases by 12.5% each year.
Now, Let number of years = n
Hence, The value of function that represents the situation is,
⇒ P = 210,000 (1 + 12.5%)ⁿ
⇒ P = 210,000 (1 + 0.125)ⁿ
⇒ P = 210,000 (1.125)ⁿ
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Amad was curious if triangles \triangle ABC△ABCtriangle, A, B, C, and \triangle EDF△EDFtriangle, E, D, F were congruent. He was able to map one figure onto the other using a reflection and a rotation. Amad concluded: "I was able to map \triangle ABC△ABCtriangle, A, B, C onto \triangle EDF△EDFtriangle, E, D, F using a sequence of rigid transformations, so the figures are congruent."
Answer:
There is no error, Amad is correct.
Step-by-step explanation:
Khan Academy Checked.
Amad had done no error. His conclusion is true.
What is Congruency?Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other.
For example,
In the figure given above, Δ ABC and Δ PQR are congruent triangles. This means that the corresponding angles and corresponding sides in both the triangles are equal.
Sides: AB = PQ, BC = QR and AC = PR;
Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R.
Therefore, Δ ABC ≅ Δ PQR
The following are the congruence theorems or the triangle congruence criteria that help to prove the congruence of triangles.
SSS (Side, Side, Side)SAS (side, angle, side)ASA (angle, side, angle)AAS (angle, angle, side)RHS (Right angle-Hypotenuse-Side or the Hypotenuse Leg theorem)As, from the given cases the prediction of congruency of two triangles is correct. There is no error he made.
Hence, Amad had not made any error.
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identify the variable expression that is not a polynomial.
A. y+23
B. 3\sqrt(x)-2
C. x^3
D. 13
Answer:
B. 3\sqrt(x)-2
Step-by-step explanation:
A polynomial cannot have a variable in the denominator
A constant is a polynomial
3\sqrt(x)-2 and this cannot be simplified to get rid of the variable in the denominator so it is not a polynomial
1. Write a two-column proof.
Given: Triangle ACD is isosceles; <1 is congruent to <3
Prove: Segment AB || Segment CD
Answer:
Check it below, please
Step-by-step explanation:
Hi there!
Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.
Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.
Statement Reason
[tex]\overline{AB} \cong \overline{AC}\\[/tex] Given
[tex]\widehat{ACB} \:bisects\: \overline{AB}[/tex] Isosceles Triangle the altitude, the bisector coincide.
[tex]\overline{AD} \cong \overline{DB}[/tex] Bisector equally divide a line segment into two congruent
[tex]m\angle CDA =m \angle CBD=90^{\circ}[/tex] Right angles, perpendicular lines.
[tex]\overline{CD}\perp \overline{AB}[/tex] Perpendicular Line segment
a rectangle has an area of 18cm2. the lengths of the sides are whole numbers. how long can the sides be? give all the examples you can think of because i cannot
Michael has 3 quarters, 2 dimes, and 3 nickels in his pocket. He randomly draws two coins from his pocket, one at a time, and they are both dimes. He says the probability of that occurring is 1 4 because 2 of the 8 coins are dime
Answer: No. Choosing two dimes are dependent events. The probability of choosing the first dime is 1/4 and the probability of choosing the second dime is 1/7. The probability that both coins are dimes is (1/4)(1/7) = 1/28.
Step-by-step explanation:
Answer:
Step-by-step explanation:
2/8×1/7=1/28