Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
Given that 5 x − 3 y = 32 Find y when x = 4
Answer:
y=-4Solution,
X=4
Now,
[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
y = 16/3 or 5.333333...
Step-by-step explanation:
5x - 3y = 4
→ Substitute the value of x = 4 into the expression
(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4
20 - 3y = 4
→ Minus 20 from both sides to isolate -3y
-3y = -16
→ Divide both sides by 3 to isolate y
y = 16/3 or 5.333333...
find the vertex of this function and decide if it is a maximum or a minimum point.
Answer: maximum point at (-3, 2)
Step-by-step explanation:
The vertex is either the highest or lowest point in the graph. You can see on that graph that the vertex is (-3, 2) because it the x-value -3 points from 0, and the y-value is 2 points from 0. You can also see that the vertex is the highest point on the graph because no points are above it, so it is the maximum value.
A sequence is defined by the explicit formula an=3n+4 Which recursive formula represents the same sequence of numbers?
Answer:
Option (3)
Step-by-step explanation:
Explicit formula of the sequence is,
[tex]a_n=3^n+4[/tex]
From this explicit formula,
First term of the sequence will be,
[tex]a_1=(3^1)+4[/tex]
[tex]a_1=7[/tex]
Second term of the sequence,
[tex]a_2=(3^2)+4[/tex]
[tex]a_2[/tex] = 13
3rd term of the sequence,
[tex]a_{3}=(3^3)+4[/tex]
= 31
Sequence formed,
7, 13, 31 ..........
From the given options,
Recursive formula,
[tex]a_n=3a_{n-1}-8[/tex]
[tex]a_2=3(a_1)-8[/tex]
[tex]a_2=3(7)-8[/tex]
[tex]a_2=21-8[/tex] = 13
[tex]a_3=3a_2-8[/tex]
[tex]a_3=3a_2-8[/tex]
[tex]a_3=3(13)-8[/tex]
= 39 - 8
= 31
Sequence formed from this recursive formula will be,
7, 13, 31........
Therefore, Option (3) will be the answer.
Answer:
C
Step-by-step explanation:
i took the test
What is the y-intercept of the graph below?
Answer:
C
Step-by-step explanation:
The y-intercept is where the line passes through the y-axis
On this graph, we can see this is at the point (0, 2)
Answer:
(0,2)
Step-by-step explanation:
The y intercept is where the graph crosses the y axis ( where x =0)
The graph crosses at y=2
(0,2)
Given that ABCD is a rhombus, find the value of x.
Answer:
C
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other.
Thus the angle at the intersection of the diagonals is 90°
The sum of the 3 angles in a triangle = 180°
Sum the angles in the lower triangle and equate to 180, that is
90 + x + x + 40 = 180
2x + 130 = 180 ( subtract 130 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25 → C
The value of x is 25.
What are some of the properties of a rhombus?
All four sides are equal.Diagonals bisect each other at 90°.Given
ABCD is a rhombus,
∠CAD = x°,
∠BDA = (x + 40)°.
Find the equation in x
Let the point where the diagonals intersect be E.
Then, using the property of the rhombus ∠AED = 90°.
We know, in a triangle that the sum of all the three interior angles equals 180°. So, we get,
∠AED + ∠BDA + ∠CAD = 180°
⇒ ∠BDA + ∠CAD = 180° - ∠AED
= 180° - 90° = 90° (∠AED = 90°)
Put the given values of these angles,
(x + 40)° + x° = 90°.
This is the equation to be solved to obtain x.
Solve for x
(x + 40)° + x° = 90°
⇒ (2x)° = 90° - 40° = 50°
⇒ x° = (50 / 2)°
⇒ x = 25.
The required value of x is 25.
Learn more about the properties of a rhombus here
https://brainly.com/question/12189679
#SPJ2
Some red, white, and blue candies were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl. According to the table below, if the candy is blue,
what is the probability that it does not contain any nuts?
Answer:
20%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
I NEED EVERY BODIES HELP ASAP!!!!!!!!!! the question is 15.6/-3
Answer:
-5.2
Step-by-step explanation:
15.6/-3= - 15.6/3= -5.2
The volume of the cylinder is 230 cubic units. What is the volume of the
cone? Round to the nearest enth if necessary.
Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder
h represents the height of the cylinder
π is a constant
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
r represents the radius of the cone
h represents the height of the cone
This means that the volume of the cone is 1/3 × volume of cylinder. Since the volume of the given cylinder is 230 cubic units, then
Volume of cone = 1/3 × 230 = 76.7 cubic units
What is the value of x? 10 PTS
Answer:
X=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
We can find the length of the hypotenuse of the 45 45 90 triangle using the other triangle (which is 30 60 90)
Since the hypotenuse is 8[tex]\sqrt{2}[/tex], the short leg (hypotenuse of other triangle) will be 4[tex]\sqrt{2}[/tex]
This means the value of x must be 4
Write 18-2 square root of -9 in the form of a+bi
Answer:
[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]
Step-by-step explanation:
Solve x^4 -3x^2 +2=0 using substitution. U=
Answer:
U = x^2
hope this helped!
Answer:
x^2
Step-by-step explanation:
The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS
Which of the following are like radicals? Check all of the boxes that apply.
Answer:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Step-by-step explanation:
Data obtained from the question include:
3x√x²y, –12x√x²y, –2x√xy², x√yx²,
–x√x²y², 2√x²y
Like radical in this case talks about those havin the same entity in the square root.
With a careful consideration of the data obtained from the question, the like radicals are:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are [tex]3x\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex] and [tex]2\sqrt{x^2y}[/tex].
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are:
A) [tex]3x\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
B) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
C) [tex]-2x\sqrt{xy^2}[/tex]
This is not the like radical with the entity [tex]xy^2[/tex] inside the square root.
D) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
E) [tex]-x\sqrt{x^2y^2}[/tex]
This is not the like radical with the entity [tex]x^2y^2[/tex] inside the square root.
F) [tex]2\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
So, the correct options are A), B), D), and F).
For more information, refer to the link given below:
https://brainly.com/question/16181471
2x-6+17=9
Explain the answer and why plz
Answer: x = -1
Step-by-step explanation:
2x - 6 + 17 = 9
Subtract 17 from both sides
2x - 6 = -8
Add 6 to both sides
2x = -2
Divide by 2 on each side
x = -1
BC = -2x+85 BD = 5x-48 What is the length of BC?
Answer:
-2x + 85 = 5x - 48
85 = 7x - 48
7x = 133
x = 19
BC = -2(19) + 85
BC = -38 + 85
therefore, BC = 47
Step-by-step explanation:
A bakery's production is modeled by function f(x), where f(x) is the number of donuts made in a day and x is the number of bags of flour needed. Choose the ordered pair that represents a possible domain and range of the function.
(−1, 15)
(5, 92.75)
(10, 100)
(−5, 110.5)
Factor completely 9x2 + 42x + 49
Answer:
(3x + 7)²
Step-by-step explanation:
You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.
Answer: (3x + 7)^2
Step-by-step explanation:
9x^2 + 42x + 49
3^2x^2 + 2 * 3x * 7 + 7^2
3x^2 + 2 * 3x * 7 + 7^2
(3x + 7)^2
What is the factorization of 729x15 + 1000?
Answer:
A
Step-by-step explanation:
PLZ ANSWER ASAP 20 POINTSTriangle ABC has AB=18, AC=24, BC=27. Point M is the midpoint of AC, and point N is on segment AB so that BN=2. What is the length of MN? PLZ ANSWER ASAP PLZ 20 POINTS
Answer:
Step-by-step explanation:
What is the units digit of $7^7$ when expressed as an integer?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Just stick it into a calculator lol
apply the distributive property to factor out the greatest common factor for 9+12n I need an expression too
Answer:
3(3+4n)
Step-by-step explanation:
Calculate 85% of 2 500m
Answer:
Step-by-step explanation:
85% of 2500 m
= 85/100 × 2500 = 2125 m
hope this helps
plz mark it as brainliest!!!!!!
Answer:
2125
Step-by-step explanation:
85% times 2500
Please answer asap thanks
Answer:
V = 200 pi units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 pi ( 10 ^2) (6)
V = 1/3 pi (100) *6
V = 200 pi
x square + 4 x - 12 all over x squared - 2x
Answer:
[tex]\frac{x+6}{x}[/tex]
Step-by-step explanation:
=> [tex]\frac{x^2+4x-12}{x^2-2x}[/tex]
=> [tex]\frac{x^2+6x-2x-12}{x(x-2)}[/tex]
=> [tex]\frac{x(x+6)-2(x+6)}{x(x-2)}[/tex]
=> [tex]\frac{(x-2)(x+6)}{x(x-2)}[/tex]
Cancelling (x-2)
=> [tex]\frac{x+6}{x}[/tex]
straight line graphs: find the equation of the lines shown
Answer:
1. y = -2n + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
1.
The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.
Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.
Let's choose any two points on the line: (4, 1) and (3, 3). Then:
slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2
Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.
The equation is thus y = -2n + 9.
2.
Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:
slope = m = (2 - 1) / (3 - 1) = 1/2
We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.
The equation is thus y = (1/2)x + 1/2.
~ an aesthetics lover
Answer:
1. y = -2x + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
There was a mistake on the last one so I would like to correct it it is
y= -2x+9
The other one said -2n its -2x
Work of the size of one exterior angle
Answer:
<x = 36°
Step-by-step explanation:
In a regular decagon, Every interior angles is equal to 144.
So,
<x + 144 = 180 [Angles on a straight line]
<x = 180-144
<x = 36°
Brainliest will be given i need answer ASAP please.
Simplify 84,375/325 to its lowest multiple Example 16/4 = 4/1
Answer:
3375/13
Step-by-step explanation:
it's found though this equation [tex]\frac{84375/25}{325/25}[/tex]
Answer:
[tex]3375/13[/tex]
Step-by-step explanation:
[tex]84,375/325[/tex]
Divide the numerator and denominator by 25.
[tex]3375/13[/tex]
[tex]=259.615385[/tex]
Decrease £248 by 30%
Answer:
173.6
Step-by-step explanation:
0.7(248)
173.6
Answer:
£ 173.6
Step-by-step explanation:
£248 *0.30= 74.4
£248 -74.4 =173.6
Isaac applied the steps below to find the product of (4.2)(-5.4).
.
Step 1: (4.2)(-5.4) = (-5.4)(4.2)
Step 2:
= (-5.4)(4) + (-5.4)(0.2)
Step 3:
= (-21.6) + (-1.08)
Step 4:
=-22.68
Which step shows where Isaac applied the distributive property?
Step 1
0 0
Step 2
Step 3
Step 4
The answer is step 2. hope it helps.
Answer:
step 2
Step-by-step explanation:
Anyone know this ? Please help
Answer:
3018
Step-by-step explanation:
an = a1 + (n-1)d
a1 is the first term in the sequence = 24
n is the term number which is 500
d is the common difference
Take the second term and subtract the first term to find the common difference
d = 30-24 = 6
a500 = 24 + (500-1) *6
=24+ 499*6
=24 + 2994
=3018
Answer:
3018 is the correct answer.
The cost in dollars C(x), where x is the number of miles driven, of renting a car for a day is C(x)=1.95x+32. What is the independent variable and its units? ______ (dollars, miles, miles per dollar, or dollars per mile) - select the correct units What is the dependent variable and its units? ______ (miles or dollars) - select the correct units
Answer:
the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)