if the average *arithmetic mean) of 5,6,7 and w is 10 what is the value of w

Answers

Answer 1

Using the properties of arithmetic mean and average we get the value of 'w' is 22.

We know that mean is calculated by dividing the sum by the frequency.

Here n= 3

Sum = 5+6+7+w = 18+w

Now , (18+w )/4 = 10 which is the mean

or, 18 + w = 40

or, w = 40 - 18

or, w = 22

The value of w is 22.

By adding together all the observations and then dividing the sum by the same total sample sizes, the arithmetic mean of the supplied data can be calculated.

In order to determine the data's central tendency, an arithmetic mean formula computes the mean, or average, of the numbers. It can alternatively be described as the total number of observations multiplied by the sum of all the observations that were provided.

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Related Questions

Expand and simplify:
3(2p - 5) + 2(p + 3)

Answers

Answer:

8p - 9

Step-by-step explanation:

→ Expand brackets

6p - 15 + 2p + 6

→ Collect like terms

8p - 9

I need some help with this question about graphed functions

Answers

The equation of the function graphed for 0 ≤ x ≤ 360 is

y = -1 + cos 2x

What is transformation?

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformation that took place in the graph is of two types namely

translationvertical stretch

The translation involves moving the graph downward by 1 unit. This movement shifts the graph from running across the x axis to making x axis the crest

The vertical stretch is by a factor of 2. A complete cycle would have been rom 0 to 180. however two cycles are now covered within this period.

The graph is of showing cos x (blue) and y = -1 + cos 2x (red) is attached

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the little twelve basketball conference has two divisions, with six teams in each division. each team plays each of the other teams in its division twice and every team in the other division once. how many conference games are scheduled?

Answers

There are 96 basketball conference games are scheduled.

What is termed as the division?Multiplication is the reciprocal of division. If 3 groups of 4 add up to 12, then 12 classified into three groups of equal size results in 4 in each group. Developing equal groups or defining how many people are within each group after a fair distribution is the basic function of division.

For the given question;

Every squad competes in ten games within its own division and six games against opponents from the opposing division. The 12 teams thus play a total of 16 conference games.

There are N games on the schedule because there are two teams in each game.

N = 12×16/2

N = 96

Thus, there are 96  basketball conference games are scheduled.

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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The distance that Evan has left to hike is 13/30 mile.

How to calculate the distance left?

From the information, Eva is hiking a real that has a length of 5/6 miles.

He has also hiked 2/5 miles. Therefore, in this situation, the distance that he has left will gotten by subtracting the fractions.

This will be:.

Distance left = Total distance - Distance hiked

Distance left = 5/6 - 2/5

= 25/30 - 12/30

= 13/30

The distance is 13/30 miles.

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What are some vocabulary words for slopes and equations in math?

Answers

Answer:

Vocabulary: slope and variable m rise over run slope formula y-intercept/variable b parallel lines and parallel equation perpendicular lines and perpendicular equatio Introduce or review key terms related to slope and angle: slope, grade, pitch, cardinal direction, slope angle, angle of depression/declination, and angle of elevation/inclination.

I need to know the constant of proportionality for each table and equation. I also need to know what the answer to the question on the bottom is.

Please show your work too. (Important)

Answers

The constant of proportionality for each table are 5, 2/3, 4, 1/5, 3, 2 and 1/2 while that of the equations are 1/8, 1/3 and 3/2

How to determine the constant of proportionality for each table and equation?

The constant of proportionality is the ratio of the y value to the x value i.e.

constant of proportionality(k) = y/x

To find the constant of proportionality for each table, just pick any non-zero corresponding x and y values on the table and find the ratio:
Using constant of proportionality(k) = y/x

1.  y/x = 5/1 = 5

2.  y/x= 4/6 = 2/3

3. y/x = 2/0.5 = 4

4. y/x= 2/10 = 1/5

5. y/x = 9/3 = 3

6. y/x = 8/4 = 2

7.y/x = 6/12 = 1/2

For the equations, just rewrite the equations in order to make y/x the subject:

8. y =1/8 x

y/x = 1/8

9. 6y = 2x

y/x = 2/6 = 1/3

10. 4y = 6x

y/x = 6/4 = 3/2

Therefore, the constant of proportionality for each table and equation are 5, 2/3, 4, 1/5, 3, 2, 1/2 and 1/8, 1/3, 3/2 respectively

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consider performing a partial f test to test for the inclusion of pctrush in the model. either in words or formula, what are the null and alternative hypotheses for this test?

Answers

The null and alternative hypothesis of the pctrush are explained below.

Given that;

By performing a partial F-test;

In hypothesis testing, the F test is a statistical test that is used to determine whether or not the variances of two populations or two samples are equal. The data in a f test follows a f distribution. In this test, two variances are divided and compared using the f statistic. Depending on the problem's characteristics, a f test can be either one- or two-tailed.

The one-way ANOVA (analysis of variance) test is run using the f value discovered after running the f test. More information on a f test, the f statistic, its critical value, formula, and how to perform a f test for hypothesis testing will be provided in this article.

The f test statistic is used in a test called the f test to determine if the variances of two samples (or populations) are equal. An f test needs a f distribution in the population and independent events for the samples in order to be valid. The null hypothesis can be rejected after conducting the hypothesis test if the f test results are statistically significant; otherwise, it cannot be rejected.

Null hypothesis:

The idea that there is no influence on the population is known as the null hypothesis.

We can reject the null hypothesis if the sample contains sufficient data to refute the assertion that there is no effect in the population (p). If not, we are unable to rule out the null hypothesis.

Although it may sound odd, statisticians only accept the phrase "fail to reject." Avoid using words like "prove" or "accept" when referring to the null hypothesis.

Alternative hypothesis:

The alternate response to your research question is the alternative hypothesis (Ha). It asserts that the populace is affected.

Your research hypothesis and your alternate hypothesis are frequently identical. It is, in other words, the assertion that you anticipate, or hope will be accurate.

The complement of the null hypothesis is the alternative hypothesis. The exhaustive nature of null and alternative hypotheses ensures that they account for all potential outcomes. Additionally, they are mutually exclusive, so only one of them can be true at once.

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The radius of a circle is 599 cm. What is the diameter of this circle?

Answers

Answer:

1,198 cm

Step-by-step explanation:

To find the diameter, use the formula d = 2r.


d = 2(599)

d = 1,198

Simplify the power.
(-3x²y)^4

Answers

Using exponents, the resultant expression after simplification is 81x⁸y⁴.

What are exponents?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.For instance, the number 6 is multiplied by itself four times, yielding 6 × 6 × 6 × 6. You can write this as 6⁴. In this case, the exponent is 4 and the base is 6.

So, the expression is:

(-3x²y)⁴

Now, simplify the power as follows:

(-3x²y)⁴(-3x²y)⁴ = (3x²y)⁴     (Exponent rule)3⁴(x²)⁴y⁴                  (Exponent rule)81((x²)⁴y⁴                 (3⁴ = 81)81x⁸y⁴

Therefore, using exponents, the resultant expression after simplification is 81x⁸y⁴.

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[tex]3\sqrt{6w-288[/tex]

Answers

3root6(x-48) factor 6

Write an equation in slope-intercept form
to represent the relationship between x
and y shown in the table.
X
Y
-10 -5 0 5
55
20
-15
-50
10
-85

Answers

Answer:

665-09

Step-by-step explanation:

Scores for a common standardized college aptitude test
are normally distributed with a mean of 507 and a
standard deviation of 104. Randomly selected students
are given a Test Preparation Course before taking this
test. Assume, for sake of argument, that the
preparation course has no effect.
If 1 student is randomly selected, find the probability
that their score is at least 555.3.
P(X> 555.3) =

Answers

The probability that their score is at least  P(X> 555.3) = 0.8275

What is a normal distribution?

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.

Here, we have

Let x denotes the score of a man.

standard deviation (σ) = 104

mean (μ) = 507

If 1 of the men is randomly selected, find the probability that his score is at least 553.5 will be :-

P(X > 553.5) = 1 - P(X ≤ x)

= 1 - P{((x - μ)/σ) ≤ (553.5 - 507/104)}

= 1 - P(z ≤ 0.447)

= 1 - 0.1725

= 0.8275

Hence, the probability that their score is at least  P(X> 555.3) = 0.8275

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Please Help ASAP!!!!!

Answers

Answer:

the forth (7,2).........

The forth one (7,2) that all ……….

If your weekly salary is $1,015.00, how much do you have left each week after you pay for the following? Rent - $443.50 Cable TV -$23.99 Electricity - $45.62 Groceries - $124.87 ?

(need explanation.)

Answers

The answer is $377.02
If you subtract everything from your weekly salary that’s the answer you end up with

Kylie just accepted a job at a new company where she will make an annual salary of $67000. Kylie was told that for each year she stays with the company, she will be given a salary raise of $3000. How much would Kylie make as a salary after 3 years working for the company? What would be her salary after t years?

Answers

The amount that Kylie make as a salary after 3 years working for the company is $76000.

Her salary after t years will be 67000 + 3000t.

How to calculate the value?

In this situation, Kylie was told that for each year she stays with the company, she will be given a salary raise of $3000 every years.

Her salary after three years will be:

= $67000 + ($3000 × 3)

= $67000 + $9000

= $76000

Her salary after t years will be:

= 67000 + (3000 × t)

= 67000 + 3000t

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at a bowling alley, the cost of shoe rental is $2.25 and the cost per game is $4.25. if f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)?

Answers

Answer:

The question is not complete so I am unsure what to solve for f(n)=$2.25x+4.25 or f(n)= $2.25x+4.25y

Step-by-step explanation:

Shoe rental $2.25

Per game $4.25

Depending on how many people are going to rent (x) and assuming they are only playing one game your equation would be

f(n)=$2.25x+4.25

However if the question does not state how many games are being played i would say

f(n)= $2.25x+4.25y

Kwai bought `15` potage tamp for `\$8. 25`. All tamp cot the ame amount. How many tamp can Kwai purchae with $12

Answers

Lamp that can be bought with $12 is 21

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

How is the unitary method divided?

This can be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees. In order to determine the value of one unit, we essentially divide the total value of a set of items by the number of units. The unitary approach is this.

Given that

Kwai bought 15 lamp for $8.25

$8.25 = 15 lamp

$1 = 15/8.25

$12 = (15/8.25)*12 = 21 approx.

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Using completing the square method to solve x^2-10x+25=0

Answers

The solution of the expression, [tex]x^{2} -10x+25 = 0[/tex], using completing the square method is [tex](x-5)^{2}[/tex].

According to the question,

We have the following expression:

[tex]x^{2} -10x+25 = 0[/tex]

Now, we will use completing the square method to solve this expression.

We will first try to convert the first and last term into perfect squares and rewrite the expression by splitting the middle term in multiplication of 2 and the squares .

[tex]x^{2}[/tex]-2*x*5+[tex]5^{2}[/tex] = 0

Now, we know that this expression fits in the identity:

[tex](a-b)^{2} = a^{2} +b^{2} -2ab[/tex]

In this case, we have a = x and b = 5

[tex](x-5)^{2}[/tex]

Hence, the solution of the expression, [tex]x^{2} -10x+25 = 0[/tex], using completing the square method is [tex](x-5)^{2}[/tex].

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-4x+3y=2
3x-9y=3
Is (4,1) a solution of the system?

Answers

Answer:

not a solution

Step-by-step explanation:

we can just fill it in on both equations

-4(4)+3(1)=2

-16+3=2

-13=2

It doesn’t work for this equation so it’s not a solution

Hopes this helps please mark brainliest

Answer:

No

Step-by-step explanation:

For (4, 1 ) to be a solution then both equations must be true

substitute x = 4 and y = 1 into both equations

- 4(4) + 3(1) = - 16 + 3 = - 13 ≠ 2

3(4) - 9(1) = 12 - 9 = 3

Since both equations are not true then (4, 1 ) is not a solution of the system.

I need help with this graph what is the root or factored form of this? Thank you!

Answers

Answer:

(2.5×20)2=100 then square root of 100;

✓100=10

Hence answer is 10

please help me out. i’ll give brainliest

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

y = mx + b  you must find the m (slope) and the b (y intercept) to write the equation for the graph.

The slope is negative.  If you start on the very left side of the graph and follow it, you will see that it goes in a down hill direction.  That means that the slope is negative.  If I start on the very left and the line goes up from there, the slope is positive.  If the line is a straight horizontal line, then the slope is zero, it does not go up or down.

The slope is -2.  Select one of the dots and travel to the next dot, but you can only move horizonaly and vertically.  You cannot move diagonally.  You will notice that the two closes dots are two units up (or down) and only 1 unit left (or right) depending on which dot you start at.  Since you move 2 units up and 1 unit left that is a slope of 2.  2/1 = 2.

The b (y-intercept) is just where you see the line cross the y axis.  It crosses it at 1.

Answer:

  y = -2x + 1

Step-by-step explanation:

Slope intercept form:  y= mx + b

Here m is the slope and b is y-intercept.

Pick any two points on the line.

(-1,3) & (2,-3).

Find the Slope.

     [tex]\sf \boxed{Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                 [tex]\sf = \dfrac{-3-3}{2-[-1]}\\\\=\dfrac{-6}{2+1}\\\\=\dfrac{-6}{3}\\\\=-2[/tex]

m = -2.

Equation of the line:

     y = -2x + b

Substitute any one point in the above equation and find the y-intercept. (-1,3)

     3 = -2*(-1) + b

     3 = 2 + b

3 - 2  = b

      b = 1

Equation of the line:

        y = -2x + 1

One of the support wires for a radio tower is
100 feet long. One end of the wire is 40 feet from
the base of the tower, as shown in the diagram
below.
Support wire
Note: The figure is not drawn to scale.
What angle (x), in degrees, does the support wire
make with the ground?

Answers

Using the trigonometry ratio, the value of angle x is 66.42°.

In the given question,

One of the support wires for a radio tower is 100 feet long.

One end of the wire is 40 feet from the base of the tower.

We have to find the angle (x), in degrees, that the support wire make with the ground.

To find the angle of x we use trigonometry ratio.

According to the ratio cosine is the ratio between base and hypotenuse.

So the formula is Cos x= B/H

where H = Hypotenuse

B = Base

From the given figure we know that, H=100 feet, B=40 feet

Now putting the value

Cos x= 40/100

Simplifying

Cos x = 2/5

Cos x = 0.4

So x = arccos(0.4)

x = 66.42

Hence, the value of angle x is 66.42°.

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A box contains 3 red marbles and 4 black marbles. You simultaneously draw 3 marbles. What is the probability
that at least one marble is black?
A.4/35
B.34/35
C.19/21
D.None of the above

Answers

Answer:

Probably b or c. Not great with probabilities.

Nicole has $40 in a savings account. The account earns 5% simple interest. She wants to determine the amount in her account after 1 year if she makes no deposits or withdrawals.

Answers

Answer:

16

Step-by-step explanation:

40/5 then x the answer by 2 and you get 16 with now deposits or withdraws

14 workers can dig 9 m long trench in one day. How many workers would dig 27 m long trench of the same type in 1 day?

Answers

Answer:

42 workers

Step-by-step explanation:

27 divided by 9 = 3 (how much we need to multiply workers by)

14x3=42

HELPPP MEEeeeeeeeeee

Answers

I’m pretty sure its side NM

So side NM is congruent to side TR
answer to which side is congruent to TR is NM

Explanation- they tell you NMK is =~ to TRP. When they do this, they are telling you
NM =~ TR
Vertices M =~ R
MK =~ RP

So the answer to which side is congruent to TR is NM

A football team receives the ball on their
own 10 yard line.
a. They make a gain of 15 yards in the first play. What yard line is the ball on?
b. What represents zero in this situation? Explain.x

Answers

The summation of 10 yards line and 15 yard is 25 yards and the ball represents zero situation when the ball is in net and goals.

Given,

The team receives the ball on their own yards = 10 yards.

that is,

initial position of the ball = 10 yards.

Using summation, (the summation is to add or subtract any two numbers or more terms by doing operation, to get answer).

They make a gain of 15 yards in the first play.

Their final position in 10 yards plus 15 yards

= 10 + 15

=25 yards.

Therefore, the yard line is 25 yards.

The zero situation of the game is when the ball is in net and the player make a goal.

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Solve the equation given a domain of {-3}.
3x - 2y = 5

Answers

The solution to the equations is y = -7

How to solve the equations using the domain of the replacement sets?

From the question, we have the equation to be given as

3x - 2y = 5

The above equation is a linear equation

The domain or the replacement set is given as

{-3}

Rewrite properly as

Domain  = {-3}

or

x = -3

So, we replace the variables using the elements in the replacement set

When x = -3, we have

3 x -3 - 2y = 5

Evaluate the products

This gives

-9 - 2y = 5

Add 9 to both sides

-2y = 14

Divide both sides by -2

y = -7

So, we have

x = -3 and y = -7

Hence, the solution to the equation is y = -7

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The variable p represents number of presents. If it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used. If there are 7 presents, how much ribbon is needed? Ribbon is sold in 15 feet packages. How many do you need to buy?

Answers

The number of ribbons needed is 73

The number of ribbons to buy is 109. 5

What is a function?

A function can be described as an expression or rule that explains the relationship between two main variables in an equation.

These variables are called;

Independent variableDependent variable

We have the expression;

N = 10p + 3

Where 'p' represents the number of presents

N is the number of ribbons

Now, let's substitute the value of p as 7

N = 10(7) + 3

N = 70 + 3

N = 73 ribbons

If 10 feet = 73 packages

15 feet = x

cross multiply

x = 73(15)/10

x = 109. 5 ribbons

Hence, the value is 73

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what does the degree tell you about the zeros of the function of x^3+8x^2+11x-20?

Answers

Answer:

Step-by-step explanation:

the degree of the function ,  also means how many zeros , or roots,  There will be.

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