The mean mass of the 15 players in a rugby team is 85.2kg the mean mass of the team plus a substitute is 85.4kg what is the mass of the substitute ?

The Mean Mass Of The 15 Players In A Rugby Team Is 85.2kg The Mean Mass Of The Team Plus A Substitute

Answers

Answer 1

Answer:

88.4 kg

Step-by-step explanation:

Since we are given the mean we will need to multiply the mean by how many players there are on the team to find the total mass. (The second mean will be multiplied by 16 because it is the number of players on the team plus the substitute)

85.2 x 15 = 1,278

85.4 x 16 = 1,366.4

Subtract the first mass from the second because this will remove the mass of the 15 other players.

1366.4 - 1278 = 88.4

88.4 kg is the mass of the substitute.


Related Questions

1. A = {2, 4, 6, 8, 10), B = {1,2,3,4,5,6,7,8,9,10}
Find A UB and An B.
(7​

Answers

Answer:

AUB=2,4,6,8,10 & AnB=1,3,5,7,9

Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson process with a mean of 6 days. Let a random variable X denote the time (in days) until the next change. What is the probability that the time until the next change is greater than 9.5 days

Answers

Answer:

The probability will be "0.205".

Step-by-step explanation:

The probability that perhaps the time remains greater than 9.5 days before the next shift will indeed be:

⇒  [tex]P(X>9.5)[/tex]

⇒  [tex]1-P(X<9.5)[/tex]

⇒  [tex]1-(1-exp(\frac{-9.5}{6} ))[/tex]

⇒  [tex]0.205[/tex]

Alex brought in 6 bottles of apple juice to share with himself and 3 friends at lunch. There are 3.5 liters of juice in each bottle.

If they combine all of the juice together, how much apple juice does each person get to drink?





If they share the apple juice equally among the 4 of them, how much apple juice does each person get to drink?

Answers

Answer:

5.25 litres.

Step-by-step explanation:

6 bottles * 3.5 litres = 21 litres of juice total.

21 / 4 = 5.25 litres per person.

The sum of the angles of a triangle is 180 degrees. If one of the acute angles of a right triangle is 52 degrees, what is the measure of the other acute angle? A: Let x be the measure of the unknown acute angle. Write an equation relating this measure to the known quantities. Do not include units in your equation.

Answers

Answer:

An equation is [tex]x+52\°+90\°=180\°[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the measure of the unknown acute angle.

According to angle sum property of a triangle, sum of all the angles of a triangle is equal to 180°.

One of the acute angles of a right triangle is equal to 52°.

Also, the triangle is a right angled triangle, one of the angle must be equal to 90°.

[tex]x+52\°+90\°=180\°\\x+142\°=180\°\\x=38\°[/tex]

So, an equation is [tex]x+52\°+90\°=180\°[/tex]

I need to do this assignment but I need help on how to draw it and answer the questions because I am confused on how to do these things. Thank you

Answers

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

where

is the change in the y-coordinate

is the change in the x-coordinate

For the initial climb (pink line), we have:

Therefore, the slope in this part is

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

3)

Again, to calculate the slope of the hill, we use:

where

is the change in the y-coordinate

is the change in the x-coordinate

For the green hill, we have:

So the rate of change is

4)

As before, the rate of change of the hill is

For the blue hill, we have:

So the rate of change is

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

For the blue hill:

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

Name the coefficient, base and power for each
c) 21tr
Coefficient:
a) 4x3
b)-w5
base:
power:

Answers

3 is your coefficient

y=1.1x + 7 In the above equation, what would changing the 7 into a 3 do?

Answers

Answer: The y intercept would be different

Step-by-step explanation:

Your new car drives 220 miles on 8 gallons of gas,
The car's MPG is

Will mark brainliest Simone please help

Answers

Answer:27.5

hope it helped can I have brainliest?

Step-by-step explanation:

A book shop offers a 24% discount on books.
Sam has to pay $______????
if he purchases books with an original price of $84.

Answers

Answer:

$63.84

Step-by-step explanation:

If Sam purchases an $84 book with 24% off, he pays $63.84. This is because first you want to find what percent of the book Sam has to pay for. Because it is 24% off, Sam has to pay for 76% of the book (100-24). Then, convert 76% to a decimal (.76) by moving the decimal to the left two digits. Lastly, multiply 84 by .76.

George rented a bike to tour a nearby park. The charge to rent the bike is a flat rate of $10.75 plus $4.50 per each hour that he spends riding the bike. How much did George pay if he was riding for 3 1 fourth hours?

Answers

Answer: $25.38

Step-by-step explanation:  PLEASE GIVE BRAINLIEST IT HELPS ALOT

Help now plz

4/9-2/18

Answers

Answer:

The answer would be 6/18 or 3/9

Step-by-step explanation:

Answer:

if dividing...0.3

if multiplying...0

Step-by-step explanation:

Tessa measured an apartment and made a scale drawing. She used the scale 7 millimeters = 3 meters. What is the scale factor of the drawing? Simplify your answer and write it as a ratio, using a colon.

Answers

Answer:

7mm : 3000 mm ; 1 : 428 4/7

Step-by-step explanation:

Given that :

Given a drawing produced using a scale :

7 millimeters = 3 meters ; the scale factor for the drawing

Comparing units in millimeter and units on meter

1000 mm = 1 meter

Hence,

3000 mm = 3 meter

Then, we can say;

7 millimeters = 3000 millimeters

7mm : 3000 mm

Divide through by 7

1 : 428 4/7

Evaluate the expression when x=-4.
x2 +7x-6

Answers

•(-4)^2 + 7(-4) -6
• -18
-4x2 + 7x-4-6
-8+ -34
-42
I think this is right lol

An urn contains nine blue balls and seven yellow balls. If three balls are selected randomly without being​ replaced, what is the probability that of the balls​ selected, one of them will be blue and two of them will be​ yellow?

Answers

Answer:

[tex]Probability = \frac{27}{80}[/tex]

Step-by-step explanation:

Given

[tex]Blue =9[/tex]

[tex]Yellow = 7[/tex]

Required

Determine the probability that one of the balls is blue while others is yellow

The order of selection may be any of these three:

Yellow, Yellow, Blue or Yellow, Blue, Yellow or Blue, Yellow, Yellow

Solving Yellow, Yellow, Blue

[tex]Probability = P(Y_1) * P(Y_2) * P(B)[/tex]

[tex]Probability = \frac{7}{16} * \frac{6}{15} * \frac{9}{14}[/tex]

[tex]Probability = \frac{1}{8} * \frac{1}{5} * \frac{9}{2}[/tex]

[tex]Probability = \frac{9}{80}[/tex]

Solving Yellow, Blue, Yellow

[tex]Probability = P(Y_1) * P(B) * P(Y_2)[/tex]

[tex]Probability = \frac{7}{16} * \frac{9}{15} * \frac{6}{14}[/tex]

[tex]Probability = \frac{9}{80}[/tex]

Solving Blue, Yellow, Yellow

[tex]Probability = P(B) *P(Y_1) * P(Y_2)[/tex]

[tex]Probability = \frac{9}{16} * \frac{7}{15} * \frac{6}{14}[/tex]

[tex]Probability = \frac{9}{80}[/tex]

Hence:

The required probability is:

[tex]Probability = \frac{9}{80} + \frac{9}{80} + \frac{9}{80}[/tex]

[tex]Probability = \frac{27}{80}[/tex]

Find x.... Figure is not drawn to scale.

Answers

Answer:

70m

Step-by-step explanation:

The ratio from 25 and 50 is 1/2 so 35x2 is 70m. This is equivalent to the given ratio.

Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes, or 0.83 hour. Who runs faster.​

Answers

Answer:

ava ran the fastest

Step-by-step explanation:

what is 1.9541 rounded to the nearest thousandth

Answers

Answer:

1.954

so 4 is in the thousandths

Step-by-step explanation:

Jasmine drives every morning to her office that is 12 miles from her home.
c

Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation. QUICK RSM HELL EMERGENCY DUE TOMARO

Answers

Answer:

d = 36t

Step-by-step explanation:

We need to calculate the speed of Jasmine first as shown:

Speed = Distance/Time

Given:

Distance = 12miles

Time = 20mins

Time = 20/60 hr

Time = 1/3 hr

Speed = 12/(1/3)

Speed = 12 * 3/1

Speed = 38mi/hr

From the formula:

S = d/t

To get the equation needed, substitute s = 36 into the formula:

36 = d/t

d = 36t

Hence the required equation is d = 36t where d is the distance in miles and time in hour

Answer:

36

Step-by-step explanation:

x - 4x + 2 = -X- 2x + 3
Plz help

Answers

The question is wrong bro.

The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative

change in this situation. Round your answer to the nearest hundredth.


Absolute change=


Relative change=

Answers

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%

Jerome's sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. a) Complete the table below. (2 points) Original Ratio x1 x2 X3 X4 Drink mix (cups) 3 Water (cups) 8

please respond quickly and thanks to the one who responded​

Answers

Answer:

6 ,16

Step-by-step explanation:

he doubled it

Which one doesn't belong? Give me two reasons why. There are no wrong answers. please answer. Picture posted​

Answers

5/4; it is an inproper fraction in a group of proper ones. it also doesnt have a 2 anywhere.

20/25; it is the only one that isnt simplified. it also has double didgits in both the numerator and denominator

a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers​

Answers

9514 1404 393

Answer:

√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949

Step-by-step explanation:

Let x represent the smaller number. Then the sum of squares is ...

  x² +(x+2)² = 14

  2x² +4x +4 = 14 . . . eliminate parentheses

  2x² +4x -10 = 0 . . . put in standard form

  x² +2x -5 = 0 . . . . . divide by 2 (because we can)

  (x +1)² -6 = 0 . . . . . complete the square

  x +1 = √6  . . .   we want the positive root

  x = -1 +√6

  x+2 = 1 +√6

The numbers are √6±1.

A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if: only men(3 Points)

Answers

Answer:

There are six possible committees if only men are chosen

Step-by-step explanation:

Here, we want to find the number of possible committees if only men are chosen

In this case, what will happen is that we shall be selecting the 5 people from the available 6 men

Mathematically, we can have this in 6C5 ways

which is read as 6 combination 5 ways

And that will be 6 ways

So there are six possible committees if only men are selected

solve 7x/3 is less than 2

Answers

Answer:

x<6/7

Step-by-step explanation:

7x/3 < 2

Multiply both sides by 3,

7x < 6

Divide both sides by 7,

x < 6/7

Answer:

x>6/7

Step-by-step explanation:

7x/3>2

what is this total fruit = 8.27+6.65

Answers

Answer:

14.92

Step-by-step explanation:

8.27+6.65=14.92

Brainliest?

Answer:

8.27+6.65=14.92

help help help help help

Answers

The answer is right there

Evaluate the expression when x=5, y=-3, and z= -2.
y+z

Answers

Answer:

-5

Step-by-step explanation:

-3+-2=-5

this is the answer

The graph below shows the elevation of three submarines during their first four minutes depending into the water which statement is true?

Answers

Answer:

ANSWER IS A I THINK

Step-by-step explanation:

1÷2 7/9 =x+4 2/5 x

Brainlest I promise!!!!!!!!

Answers

Answer:

x=1/15

Step-by-step explanation:

SOLVE:

1 (divide) 2 7/9 = x+ 4 2/5x

1 (divide) 25/9 = x + 4 2/5x

1 * 9/25 + 5 2/5x

9/25 = 5 2/5x

divide both sides by 5 2/5 or you can multiply by the reciprocal

5 2/5x = 27/5x

then once you do that you get x= 1/15

CHECK ANSWER:

Insert 1/15 instead of x

1 (divide) 2 7/9 = (1/15) + 4 2/5 (1/15)

9/25 = 9/25 Yes it is a true statement.

ANSWER:

x= 1/15

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