Answers
Part A
Multiply each age with its corresponding frequency
19*2 = 3820*3 = 6021*1 = 2122*4 = 8823*1 = 23Then add up those products
38+60+21+88+23 = 230
We divide that sum over the total frequency of 11 (since 2+3+1+4+1 = 11).
mean = 230/11 = 20.9 approximately
Answer: 20.9Nice work on getting the correct answer.
============================================================
Part B
x = age of the new player
Adding x to the sum of the products 230, and then dividing over 11+1 = 12 will get us the new mean of 22.
The 230 represents the sum of the ages of the original eleven people. The expression 230+x represents the sum of the twelve ages.
So,
(230+x)/12 = 22
230+x = 12*22
230+x = 264
x = 264-230
x = 34
Answer: 34Related Questions
You must select a team from a group of 6 boys and 10 girls. How many ways can you select 2 boys and 5 girls?
Answers
Using the combination formula, it is found that you can select 2 boys and 5 girls in 2,520 ways.
In this problem, Joao and Elisa would be the same team as Elisa and Joao, hence the order is not important and the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
2 boys are selected from a set of 6.5 girls are selected from a set of 10.Hence:
[tex]T = C_{5,2}C_{10,5} = \frac{5!}{3!2!} \times \frac{10!}{5!5!} = 2520[/tex]
You can select 2 boys and 5 girls in 2,520 ways.
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The outstanding balance of a credit card bill is $250. According to the credit card company's policy, an interest fee of 2% on the card balance will be applied each month the bill is not paid.
Assuming that the bill is not paid, what will the outstanding balance be after 6 months?
A) After 6 months, the outstanding balance on the credit card will be approximately $276.02. B) After 6 months, the outstanding balance on the credit card will be approximately $622.08. C) After 6 months, the outstanding balance on the credit card will be approximately $281.54. D)After 6 months, the outstanding balance on the credit card will be approximately $255.10.
Answers
Answer:
The closest answer is C) After 6 months, the outstanding balance on the credit card will be approximately $281.54.
Step-by-step explanation:
First we figure out the amount of interest.
0.02 x 250 = 5
5 x 6 = 30
30 + 250 = 280
Answer ASAP and whoever gets it right can have brainliest
beinggreat78, you're looking for this
Answers
Answer:
30 ants are in the ant farm.
---------------------------------------
If there are 40 ants on the second part of the scale,
multiply 5 by 8 to get 40 because there are 5 ants for each row, and 8 rows total
and there are 10 ants visible on the first side of the scale, the second part of the scale would have the majority and there would be a big inbalance. To fix that, we could say there are 30 ants in the ant farm, because there are 10 ants on the scale. [tex]10 + 30 = 40[/tex], so that would make the scale balanced.
8) Choose the correct linear system of inequalities for the graph given.
Answers
Answer:
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line.
If the inequality is strict ( < or > ), graph a dashed line. If the inequality is not strict ( ≤ or ≥ ), graph a solid line.
Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.
Graph each of the inequalities in the system in a similar way. The solution of the system of inequalities is the intersection region of all the solutions in the system.
Example 1:
Solve the system of inequalities by graphing:
y≤x−2y>−3x+5
First, graph the inequality y≤x−2 . The related equation is y=x−2 .
Since the inequality is ≤ , not a strict one, the border line is solid.
Graph the straight line.
Consider a point that is not on the line - say, (0,0) - and substitute in the inequality y≤x−2 .
0≤0−20≤−2
This is false. So, the solution does not contain the point (0,0) . Shade the lower half of the line.
Similarly, draw a dashed line for the related equation of the second inequality y>−3x+5 which has a strict inequality. The point (0,0) does not satisfy the inequality, so shade the half that does not contain the point (0,0) .
The solution of the system of inequalities is the intersection region of the solutions of the two inequalities.
Example 2:
Solve the system of inequalities by graphing:
2x+3y≥128x−4y>1x<4
Rewrite the first two inequalities with y alone on one side.
3y≥−2x+12y≥−23x+4−4y>−8x+1y<2x−14
Now, graph the inequality y≥−23x+4 . The related equation is y=−23x+4 .
Since the inequality is ≥ , not a strict one, the border line is solid.
Graph the straight line.
Consider a point that is not on the line - say, (0,0) - and substitute in the inequality.
0≥−23(0)+40≥4
This is false. So, the solution does not contain the point (0,0) . Shade upper half of the line.
Similarly, draw a dashed line of related equation of the second inequality y<2x−14 which has a strict inequality. The point (0,0) does not satisfy the inequality, so shade the half that does not contain the point (0,0) .
Draw a dashed vertical line x=4 which is the related equation of the third inequality.
Here point (0,0) satisfies the inequality, so shade the half that contains the point.
The solution of the system of inequalities is the intersection region of the solutions of the three inequalities.
Step-by-step explanation:
I got it right
Use the given figure to solve the remaining parts of the triangle AIR.
Answers
Answer:
1. 15.49 cm
2. 14.39 cm
3. 17.32 cm
4. 11.53 cm
5. 5 cm
Step-by-step explanation:
In the given problem, you can solve the unknown side of the triangle using either Pythagorean Theorem or SOA CAH TOA method. In Trigo, you can use the Pythagorean Theorem if the triangle has 90 degrees, or it is a right triangle.
In the given problem, the angle of the triangles are unknown, therefore to solve the unknown side of triangles, we will you use the SOA CAH TOA.
In this case, since the given side are b and c, we can use CAH (Cos Teta equals Adjacent over Hypotenuse), and TOA ( Tan Teta equals Opposite over Adjacent)
Lets provide the solution for the number, and the rest have the same solutions and process.
b= 17, c= 3, let u is the angle
Cosu= 17/23, to get the angle, use inverse cosine.
The result will be 42.34°, and to get the unknown side, use TOA
Tanu=a/17, a=17Tanu
It will give you 15.49 cm
In the number 2 and 5, it will be the same when you rotate the triangle.
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(this is probability) I'm confused..
Answers
Answer:
1/3
Step-by-step explanation:
probability = favorable events / total num of events
here total num of events is 3 and favorable is 1 since there is only one odd number.
therefore, p(odd) = 1/3
Answer:
[tex]\huge\boxed{\bf\:\frac{1}{3}=0.33}[/tex]
Step-by-step explanation:
Odd numbers are numbers that end with the digits [tex]\rightarrow 1,3,5,7,9[/tex], whereas even numbers are numbers that end with the digits [tex]\rightarrow 0,2,4,6,8[/tex].
Here, we can see that,
2 & 4 = even numbers = 2 even number cards3 = odd number = 1 odd number card3 = Total number of cards.Therefore,
Probability of getting an odd number (3) card
= Number of odd number cards / Total number of cards
= ⅓ = 0.33
[tex]\rule{150pt}{2pt}[/tex]
Solve x2 = −49 by using square roots.
A. The solution is 7.
B. There are no real solutions.
C. The solution is −7.
D. The solutions are 7 and −7.
Answers
X=7i, -7i
Answer:
Option B, There are no real solutions
Step-by-step explanation:
Step 1: Square root both sides
[tex]x^2 = -49[/tex]
[tex]\sqrt{x^2} = \sqrt{-49}[/tex]
Since we are trying to square root a negative it would cause imaginary solutions so in conclusion we have no real solutions.
Answer: Option B, There are no real solutions
Anyone have Inscribed angles practice answers ?
Unit 7 lesson 3
Answers
Applying the inscribed angle theorem, since x and 31° are subtended by the same arc in the given circle, then x = 31°.
What is the Inscribed Angle Thoerem?The inscribed angle theorem states that if two inscribed angles are subtended by the same arc, the measure of both inscribed angles are equal.
Inscribed angle = 1/2(measure of intercepted arc)
Based on the inscribed angle theorem, x = 31° because they are both subtended by the same arc.
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I NEED HELP ASAP!!!!!
Answers
Answer:
Option1 : Domain and range for both functions are all real numbers
Step-by-step explanation:
In a deck of playing cards, what is the
probability of drawing a red card, replacing it, and
then drawing a queen?
Answers
Step-by-step explanation:
As the cards are being drawn with replacement, the events are independent. Thus we can find the probability by multiplying the probability of individual events.
There are 4 queens in a pack of 52 cards. So, probability of drawing a queen= 4/52=1/13
There are 26 red cards. So, probability of drawing a red card= 26/52=12
Required probability= 1/13×1/2=1/26
Answer:
1/26
Step-by-step explanation:
For probability, the numerator is the number of options for the specified property (red card/drawing a queen) and the denominator is the total number of options (in this case 52).
There are 26 red cards in a deck, the the probability of choosing a red card is [tex]\frac{26}{52}[/tex] or [tex]\frac{1}{2}[/tex].
There are 4 queens in a deck, so the probability of choosing a queen is [tex]\frac{4}{52}[/tex] or [tex]\frac{1}{13}[/tex].
To find the probability of getting these both, multiply the results, giving [tex]\frac{1}{26}[/tex].
Which polygon has an interior angle sum of 1080°? Edge
Answers
Answer:
8
Step-by-step explanation:
(n−2) × 180°= 1080
=> n = 1080 / 180 + 2
Answer:
The first one with 8 points.
Step-by-step explanation:
It's an octagon.
Write an equation of the line that passes through (2, -5) and has a slope of 4
Answers
Step-by-step explanation:
(y-(-5))/(x-2) = 4
(y+5)/(x-2) = 4
y+5 = 4x - 8
y = 4x - 13
Coordinates are (2,-5) so x = 2, and y = -5. Since the slope is 4, m = 4
Plugging them in, we get:
-5 = 2(4) + b
-5 = 8 + b
-13 = b
The y intercept is -13. So the equation is:
y = 4x - 13.
Hope this helps
23) Find the center of the circle
Answers
[tex]\bull\:[/tex][tex]\sf{x^2+y^2 -10x+8y + 1= 0}[/tex]
[tex]\\[/tex]
Solution:-The general form of circle is given by the equation by the equation -
[tex]\green{ \underline { \boxed{ \sf{x^2+y^2 + 2gx+2fy + c = 0}}}}[/tex]
in which
coordinate of center = (-g , -f )radius of circle = [tex]\sqrt{g^2+f^2-c}[/tex]❀ Comparing given equation with general form of circle -
g = -5 f = 4c = 1So, Center of Circle = (-(-5), -4)
➥ (5, -4)
[tex]\\[/tex]
Also, radius of circle = [tex]\sqrt{(-5)^2+4^2-1}[/tex]
➥ [tex]\sqrt{25+16-1}[/tex]
➥ [tex]\sqrt{40}[/tex]
➥ [tex]2\sqrt{10}[/tex] units .
Identify the geometric mean of 8 and 20 in simplest radical form.
Answers
Answer:
8/x = x/20
x^2=160
x=sqrt(160)
x=sqrt(16*10)
x=sqrt(16)*sqrt(10)
x=4*sqrt(10)
Step-by-step explanation:
The geometric mean of 8 and 20 in the simplest radical form is 2√10.
What is geometric mean?The Geometric Mean is a unique kind of average in which the numbers are multiplied together and then their square, cube, or other root is taken (for two numbers, three numbers, etc.).
To calculate the geometric mean of two numbers:
You would multiply the numbers together and take the square root of the result.
First, multiply 8 and 20.
That equals 160.
Then you take the square root of 160;
√160
= 12.65,
which doesn't result in a whole number.
So you factor 160 and removing perfect squares.
√160
= √ (4 x 10)
= 2√(10)
Therefore, the geometric mean is 2√10.
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What transformations of the parent function f(x) = lxl should be made to graph, f(x) = -lxl +5
Reflection over the x-axis, shift down 5 units.
Reflection over the x-axis, shift up 5 units.
Reflection over the y-axis, shift down 5 units.
Reflection over the y-axis, shift up 5 units.
Answers
Answer:
Reflection over the x-axis, shift up 5 units
Step-by-step explanation:
Given Parent Function:
f(x) = |x|Transformed function:
f(x) = - |x| + 5In transformed function:
f(x) = -|x|, Represent that parents function is first reflected over the x - axis.then in transformed function,
f(x) = -|x| + 5represent that after reflection function is shifted 5 unit in upward direction.
Answer:
Reflection over the x-axis, shirt up 5 units
Step-by-step explanation:
It's a reflection because the x axis is a negative, and +5 moves up 5 units on the y axis
which shapes have 2 pairs of parella sides
Answers
Answer:
Parallelogram
Step-by-step explanation:
Answer:parallelogram
Step-by-step explanation:
Three friends earned more than $200 washing cars. They paid their parents $28 for supplies and divided the rest of the money equally. Write an inequality to find possible amounts each friend earned. Identify what your variable represents.
Answers
Answer: 3x + 28 > 200
Step-by-step explanation:
[tex]$$Let $x$ be the amount each friend received. Since there are 3 friends, then $3 x$ is the amount of money they split evenly. The amount of money they split evenly was the amount left over after paying their parent's $\$ 28$. Therefore $3 x+28$ is the total amount they earned.[/tex]
PLEASE HELP ME!
I don’t know what to put on “METHOD” and “EXPLANATION.”
Please help me! :-(
Answers
Answer:
7) graphing, because they are in the y=mx+b format.
8) substitution, because it tells you what y equals.
9) substitution, because it tells you what y equals.
10) elimination, because you can subtract the x's to equal 0.
11) graphing, because they are in the y=mx+b format.
12) substitution, because it tells you what y equals.
Step-by-step explanation:
Cory is a bird-watcher. He estimates that 30% of the birds he sees are American robins, 20% are dark-eyed juncos, and 20% are song sparrows. He designs a simulation. Let 0, 1, and 2 represent American robins Let 3 and 4 represent dark-eyed juncos. Let 5 and 6 represent song sparrows. Let 7, 8, and 9 represent other birds The table shows the simulation results. According to the simulation, what is the probability that at least one of the next five birds he sees is a song sparrow?
A.)0.35
B.)0.2
C0.65
D.)0.5
Answers
Answer: 0.65
Step-by-step explanation:
the probability is high
The probability that at least one of the next five birds sees is a song sparrow will be 0.65
ProbabilityProbability is chance that a given event will occur
How to solve this problem?The steps are as follows:
Given, 5 and 6 represent song sparrowsUsing the above representations, the numbers that represent an occurrence of seeing at least one song sparrow in the next 5 birds are:05716 16803 96568 33855 76635 88864 05943 77510 74051 97895 86481 94036 24005
The number of occurrence is 13The number of simulation is 20Therefore probability of seeing at least one song sparrow will be:P=(number of occurrence/number of simulation)
∴ P=13/20
∴ P=0.65
There is 0.65 probability that at least one of the next five birds Cory sees is a song sparrow
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Lines C and D are represented by the equations given below:
Line C: y = x + 8
Line D: y = 3x + 2
Which of these shows the solution to the system of equations and explains why?
(3. 11), because the point does not lie on any axis
(3, 11), because both lines pass through this point
(4, 14), because one of the lines passes through this point
(4.14), because the point lies between the two axes
Answers
Answer:
(3, 11), because both lines pass through this point
Step-by-step explanation:
x = y - 8
y = 3(y -8) + 2
y = 3y - 24 + 2
y - 3y = -22
-2y = -22
y = 11
11 = x + 8
x = 11 - 8
x = 3
Answer :- (3,11)
Find the circumference.
Answers
Answer:
Step-by-step explanation:
Remark
The circumference of a circle is given by
C = 2*pi*r
C is the circumference
r is the radius.
Givens
r = 11.8
pi = 3.14
Solution and answer
C = 2 * 3.14 * 11.8
C = 74.10
answer C = 74.10
Note:If you are called upon to round to the nearest hundredth, then 74.1 is not the answer. You must add the zero to show that it occupies the hundredths place.
Find the volume of the sphere. Round your answer to the nearest tenth.
Answers
Answer:
17157.28
Step-by-step explanation:
If we know that the volume of a sphere is equal to V=4/3πr3, then we can assume this.
The radius of the sphere is 16, so 16 cubed is 4096. 4096 x pi is 12867.96
12867.96 x 4/3 is 17157.28
25-42 Differentiate the function.
25. [tex]f(x)=x^{5}+5^{x}[/tex]
Answers
Answer:
y'= 5x^4 + 5^x In(5)
Step-by-step explanation:
Differentiate with Respect to x
f(x)'=5x^4 + In(5^x)
f(x)'= 5x^4 + x In(5)
with respect to x, we have
y'= 5x^4 + y In(5)
y'= 5x^4 + 5^x In(5)
A furniture store book shelf was priced at
$
345.00
The store was having a
60
%
off sale store wide. What is the sale price of the book shelf?
Answers
Answer:
$138.00
Step-by-step explanation:
The original price of the shelf is $345.00. The new sale price is the original price of 100% less the 60% of the original price. That means the sales price is 40% of the original price.
You can do this 2 ways:
1. $345 x 60% or .60 = $207
$345-207 = $138
or
2. $345 x 40% or .40 = $138
Answer:$138
Step-by-step explanation:
Since the store is on sale 60% out of a whole 100%
= 100% - 60% = 40%
40% is [tex]\frac{40}{100}[/tex] = 0.4
0.4 x 345 = $138
The sum of the Squares of three consecutive number is 110.
Then determine the Three Numbers.
Answers
[tex]\large\bold{{Question :-}}[/tex]The sum of the Squares of three consecutive number is 110. Then determine the Three Numbers.
[tex]\large\bold\red{\underline{Answer :-}}[/tex]
So, First of all The Question is to find out three consecutive Numbers .
First of all let's learn a little about Consecutive Numbers. So, Consecutive Numbers are the Numbers which follows each other. For example :- 1,2,3,4 are consecutive Numbers.
Let's start with Our Question :-
Let The First consecutive number be = xand second number be = x + 1Third number be = x + 2So,
[tex]:\pink\implies[/tex] [tex]\bold{{(x)^{2}}}[/tex] + [tex]\bold{{(x + 1)^{2}}}[/tex] + [tex]\bold{{(x + 2)^{2}}}[/tex] = [tex]\bold{{110}}[/tex]
[tex]:\pink\implies[/tex] [tex]\bold{{(x)^{2}}}[/tex] + [tex]\bold{{(x)^{2}}}[/tex] + [tex]\bold{{(1)^{2}}}[/tex]+ [tex]\bold{{2x}}[/tex] +[tex]\bold{{(x)^{2}}}[/tex] + [tex]\bold{{(4)}}[/tex]+ [tex]\bold{{(4x)}}[/tex] = [tex]\bold{{110}}[/tex]
[tex]:\pink\implies[/tex] [tex]\bold{{3x^{2}}}[/tex] + [tex]\large\bold{{6x}}[/tex] + [tex]\bold{{5}}[/tex] - [tex]\large\bold{{110}}[/tex] = [tex]\bold{{0}}[/tex]
[tex]:\pink\implies[/tex] [tex]\bold{{3x^{2}}}[/tex] + [tex]\bold{{6x}}[/tex] - [tex]\bold{{105}}[/tex] = [tex]\bold{{0}}[/tex]
By taking 3 Out as Common, we are left with the Quadratic Equation :—
[tex]:\pink\implies[/tex] [tex]\large\bold{{1x^{2}}}[/tex]+ [tex]\large\bold{{2x}}[/tex] - [tex]\large\bold{{35}}[/tex] = [tex]\large\bold{{0}}[/tex]
By Using Quadratic Formula,
x = -b ± √(b)^2— 4 × a × c / 2a
x = -2 ± √(2)^2— 4 × 1 × -35 / 2×1
x = -2 ± √144/2
[ As we know that "144" is square of 12 ]
x = -2 ± 12/2
Taking Positivex = -2+12/2x = 5Hence, x = +5
x +1 = 5+1 = +6
x+2 = 5+2 = +7
Taking Negative signx = -2-12/2x = -7Hence, x = -7
x+1 = -7+1 = -6
x+2 = -7+2 = -5
Hence, The Three consecutive Numbers are ±5,±6,±7.Answer:
± (5, 6, 7)Step-by-step explanation:
Let the three consecutive numbers be denoted as :
xx + 1x + 2Identity
(x + a)² = x² + 2ax + a²It is given that the sum of the squares of these numbers add up to 110.
(x)² + (x + 1)² + (x + 2)² = 110x² + x² + 2x + 1 + x² + 4x + 4 = 1103x² + 6x + 5 = 1103x² + 6x - 105 = 0x² + 2x - 35 = 0x² + 7x - 5x - 35 = 0x(x + 7) - 5(x + 7) = 0(x - 5)(x + 7) = 0x = 5 or x = -7Taking x = 5
x² = 5² = 25(x + 1)² = 6² = 36(x + 2)² = 7² = 49⇒ 25 + 36 + 49 = 110Taking x = -7
x² = (-7)² = 49(x + 1)² = (-6)² = 36(x + 1)² = (-5)² = 25⇒ 49 + 36 + 25 = 110Solution
5, 6, 7 ⇔ -7, -6, -5⇒ ± (5, 6, 7)PLEASE ANSWER A AND B, GIVING BRAINLIEST!
Answers
Answer:
a) V = (8 -4/3π)r³
b) 2048(2 -π/3) cm³ ≈ 1951.34 cm³
Step-by-step explanation:
When a sphere is placed in a box the empty space volume is the difference between the box volume and the sphere volume. Here, the box is a cube with the same outside dimensions as the sphere.
__
a. (formula)The side length of the cube is 2r, where r is the radius of the sphere. So, the volume of the cube is ...
V = s³ = (2r)³ = 8r³
The volume of the sphere is given by the formula ...
V = 4/3πr³
The volume of the empty space is the difference of these:
V = (8r³) -(4/3πr³)
V = (8 -4/3π)r³ . . . . . . . formula for the empty volume
__
b. (empty space)For r=8 cm, the empty volume is ...
V = (8 -4/3π)(8 cm)³ = 4(2 -π/3)(512 cm³)
V = 2048(2 -π/3) cm³ ≈ 1951.34 cm³ . . . . empty volume
Maddi plays a game in which she spends the spinner over and over again the spinner has four equally sized section labeled a, B, C, and D spinning a C7 times means the game is over Maddi uses a uniform probability model to predict the number of times the spinner will be spun before the letter C appears seven times what is Maddi’s prediction for the number of total spent before the letter C appears 7 times ? 12 spins 16 spins 21 spins 28 spins
Answers
The spinner of Maddi's game is an illustration of probability, and it is expected that the number of spins is 28
How to determine the expected number of vowels?The number of sections in the spinner is given as:
Sections = 4
The letter C is given as:
Letter C = 1
The expected appearance of letter C is given as:
Expected appearance = 7
The expected number of letter C is calculated using
Expected = Letter C/Sections * Number of spins (n)
So, we have:
7 = 1/4 * (n)
Multiply both sides by 4
n = 28
Hence, it is expected that the number of spins is 28
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Solve: x^2+4x-15
you don’t need to show steps
Answers
Answer:
-2 ± √19
Explanation:
Quadratic formula
Hope this helps!
A farmer has both sheep and chickens on his farm. All the animals have the expected number of parts. When his animals are all
together, there are 90 legs and 32 heads. How many of each animal does he have?
Answers
Answer:
13 sheep, 19 chicken
Step-by-step explanation:
You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as [tex]x[/tex] and the number of chickens there are as [tex]y[/tex].
Because each sheep has 4 legs, the number of legs for each sheep would be [tex]4x[/tex]. Similarly, because each chicken has 2 legs, the number of legs for each chicken would be [tex]2y[/tex]. Each animal would have 1 head, so the number of heads would just be [tex]x[/tex] and [tex]y[/tex]. Because the number of legs in total are 90, [tex]4x + 2y=90[/tex]. Because the number of heads in total are 32, [tex]x+y=32.[/tex]
There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation, [tex]2x+2y=64[/tex]. Then, I would subtract that from the first equation, eliminating [tex]y[/tex]. [tex]2x=26[/tex]. Solving for x gives 13. We can then plug that value into the second equation, making y be [tex]32-13=19[/tex]. This means that [tex]x=13[/tex] and [tex]y=19[/tex], meaning that there are 13 sheep and 19 chicken.
Find the value of x to the nearest tenth.
6.0
8.3
5.8
6.2
Answers
Answer:
value of x is y to the nearest tenth. is 6.0 is equal to 8.3 to 5.8. 6.2