if the mean of 5 values equals 64, then what is the ∑x?

Answers

Answer 1

If the mean of the five values is equals to 64 then the sum of x values i.e., ∑x is 320.

Arithmetic mean:

Arithmetic mean is simply called mean or average. To calculate the arithmetic mean of a set of values, we need to add all the values and then divide the sum by the number of values in the set.

X-bar = ( a + a + -----+ a )/n

Here, there are n items in the set, and each item is represented by one of the a's.

We have given that,

Mean of 5 values , X-bar = 64 , n = 5

we have to calculate the sum of x i.e ∑x

Using Arithmetic mean formula,

sum of x , ∑x = X-bar × n , where x is five values

so, ∑x = 64 × 5 = 320

Hence, the sum of x values is 320.

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Related Questions

It is -4 in Iceland at 7 am. The temperature then
increases by 6 Degrees. What is the new temperature?

Answers

Answer:

Step-by-step explanation:

kakaka



Answer: 2 degrees.

Step-by-step explanation: If it is -4 degrees in Iceland at 7 am and the temperature increases by 6 degrees, the new temperature would be -4 + 6 = 2 degrees.

A particle of mass mm moves in the plane with coordinates ( x ( t ) , y ( t ) )(x(t),y(t)) under the influence of a force that is directed toward the origin and has magnitude k / \left( x ^ { 2 } + y ^ { 2 } \right)k/(x 2 +y 2 )—an inverse-square central force field.

Answers

An inverse-square central force field is  [tex]mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\[/tex].

From Newton's second law of motion,

mass × acceleration = Force acting on the mass

Resolving the force F along x and y directions and applying Newton's second law of motion,

Using,

[tex]r = \sqrt{x^2+y^2}[/tex]

Therefore,

[tex]m\frac{d^2x}{dt^2} =-|F|cos \theta[/tex]

[tex]mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}[/tex]

Where [tex]r = \sqrt{x^2+y^2}[/tex]

​ and cos⁡θ = [tex]\frac{x}{\sqrt{x^2+y^2} }[/tex]

Similarly using,

[tex]r = \sqrt{x^2+y^2}[/tex]

we get,

 [tex]m\frac{d^2y}{dt^2} = -|F|sin\theta[/tex]

[tex]mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}[/tex]

Where [tex]r = \sqrt{x^2+y^2}[/tex]

​ and sinθ = [tex]\frac{y}{\sqrt{x^2+y^2} }[/tex]

Therefore we showed that holds

[tex]mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\[/tex]

Hence the answer is an inverse-square central force field is  [tex]mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\[/tex].

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(9 * 6) * 1 = 3 operations

Answers

Answer:

53

Step-by-step explanation:

PEMDAS

Parenthesis

multiply the numbers

Divide

Add

Subtract

suppose a department store wants to estimate the average age of the customers of its contemporary apparel department, correct to within 2 years, with level of confidence equal to 0.95. management believes that the standard deviation is 8 years. the sample size they should take is .

Answers

By using the formula for sample size, it can be calculated that the sample size is 62

What is sample?

At first it is important to know about population.

Population is the group of items from where samples are taken for study and research and for statistical purpose

A subset of population is called sample.

Here, margin of error E = 2

Value of z for 95 % confidence interval = 1.96

Standard deviation = 8

Sample size  = [tex](\frac{1.96 \times 8}{2})^2[/tex] [tex]\sim[/tex] 62

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an english reading list has 9 american novels and 7 english novels. a student must read 4 from the list, and at least 2 must be american novels. in how many different ways can the 4 books be selected?

Answers

The total ways in which the student can readd the books are 1512 ways.

What is Combination?

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant (unlike permutations).

Solution:

Since reading 2 american novels is compulsory

The student therefore needs to read only two more novels

It can be either American Novels or English Novels

Ways to read American Novel = 7C2

Ways to read English Novel = 7C2

Total Ways = 9C2 * (7C2 + 7C2)

Total Ways = 36 * (42)

Total Ways = 1512 ways

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let m be the number of five-element subsets that can be chosen from the set of the first 14 natural numbers so that at least two of the five numbers are consecutive. find the remainder when m is divided by 1000.

Answers

We have (123) different possibilities. Therefore, we can derive from the multiplication principle that there are 13(123) ways.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin.

The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .

According to our question-

Let n be the maximum number of subsets of five elements that can be selected from the first 14 natural numbers,

with at least two of the five numbers being consecutive.

I have made a block of two consecutive numbers (like (1,2),(2,3),(13,14) etc.).

Now we can choose this block in 13 ways. Now we have to choose 3 numbers from the rest 12 numbers.

Hence,  multiplication principle we come to know that there are  13×(123).

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x, 3, 1, 12, 8 if x is an integer, is the median of the 5 numbers shown greater than the average (arithmetic mean) of the 5 numbers? (1) x > 6 (2) x is greater than the median of the 5 numbers.

Answers

if x is an integer it does not show the median of the 5 numbers to be greater than the average of the 5 numbers

What is a median in math?

The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.

How do you find the median?

Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers). Example: When the numbers are arranged (1, 4, 7), the number 4 lies in the center, making it the median of 4, 1 and 7.

(1) x must be higher than one or three. It will be the median if it is 8 or fewer.

Consequently, if x = 7, then the list is 1, 3, 7, 8, 12, and median is 7, while the average is 31/5, which equals 6.2, and the answer is YES.

The list is 1, 3, 8, 8, 12, and the median is 8 if x = 8. Average = 32/5 = 6.4; if x = REALLY BIG, the list is 1, 3, 8, 12, and x; and the median is 8; the answer is YES. The answer to the question is NO since the average is REALLY BIG.

insufficient

(2) According to the aforementioned findings, x must be at least 9.

Depending on the amount of x, the list is either 1, 3, 8, x, 12, or 1, 3, 8, x.

The median and mean expressions are the same, regardless of whether order is appropriate:

Mean (average): 8 median = (1 + 3 + 8 + 12 + x)/5 = (24 + x)/5 mean (average):

The mean is at least (24 + 9)/5 = 33/5 = 6.6 since x is at least 9.

This is not convincing because the mean might be either millions or 6.6 (if x = 9) (if x is huge).

insufficient

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please help me due in 10 min

Answers

Answer: A = 2(x+3y)+2z=2z+4x+2y

B=2(x+3y)=4x+2y

c=x+3y=2x+y

d=2y=x

Step-by-step explanation:

Answer:

2y=x:D

x+3y=2x+y:C

2(x+3y)=4x+2y:B

2(x+3y)+2z=2z+4x+2y

Step-by-step explanation:

D is the only possibility for 2y=x because it has 3 total. Similarly for C. B only has two different types, so it must be 2(x+3y)=4x+2y.

What is the equation of a line that has a
3/4
slope of and an x-intercept of 0?

A y=0
B y=3/4
C y=3/4x
D y=x+3/4

Answers

Answer: C

Step-by-step explanation: This is because there is no y - intercept. But since there is still a slope an x but be next to the 3/4. Which represents the rate of change.

The sum of 4 times a number and 2 is two times the number minus 8. What is the number?

Answers

Answer:

Step-by-step explanation:

The word "Sum" = addition.

"A number" = the unknown, aka 'x'.

"Is equal to" is =.

Go piece by piece. I will set your equation exactly as it is worded as you read it. Follow along:

4x + (-2) = 5x + (-2)

Imagine there is a "1" infront of the parenthesis around the -2. A positive * a negative always = negative. So.

In a city with an 8.5% tax rate, what would be the total cost for a $66.00

Answers

I got the answer of 71.61 because I took the % moved the decimals multiplied then added it to 66

5pts and who ever get this right gets brainliest ​

Answers

Answer:D is incorrect

Step-by-step explanation:

D is the only one that is incorrect because D is 9x-81

Answer:

  (d)  9(x -9)

Step-by-step explanation:

You want the expression that is not equivalent to the other three.

Simplified expressions

The simplified versions of the expressions are ...

9(x -1) = 9x -99x -92x -4 +7x -5 = (2+7)x +(-4 -5) = 9x -99(x -9) = 9x -81 . . . . . . . not equivalent to the others

The expression not equivalent to the other three is 9(x -9).

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Elouise and Marcus are 20km apart.
There is a lake due west of Elouise that is also 10√3 km due north of Marcus.
Work out the bearing of Marcus from Elouise

Answers

Elouise and Marcus are 20 km apart. There is a lake due west of Elouise that is also 10√3 km due north of Marcus, so 22.36 km distance the bearing of Marcus from Elouise.

What is Pythagoras theorem?

According to the Pythagoras theorem, the square of the hypotenuse of a right-angled triangle equals the sum of the squares of the other two sides. The formula for this theorem is c² = a² + b², where c is the hypotenuse and a and b are the triangle's two legs. Pythagoras theory triangles are another name for these triangles.

At first assume a triangle, In the triangle, assume Elouise at the point A and Marcus at the point B, and the lake at the C point.

Given that,

Elouise and Marcus are 20 km apart (AB)

There is a lake due west of Elouise that is also 10√3 km due north of Marcus (BC)

Now, according to a Pythagoras theorem,

(AC)² + (AB)² = (BC)²

or, (AC)² = (BC)²- (AB)²

or, (AC)² = (10√3)² - (20)²

or, AC = [tex]\sqrt{500}[/tex]

or, AC = 22.36 km

So, distance bearing of Marcus from Elouise is 22.36 km.

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Please answer! Question is below! Thanks!

Answers

Answer:

y=4x+4

Step-by-step explanation:

slope intercept form is y=mx+b

m is slope

B is y intercept

To find slope we use y2-y1/x2-x1

16-(-4)/3-(-2)

20/5

4 is the slope

We can fill this in

y=4x+b

To find b we fill in any coordinates

-4=4(-2)+b

-4=-8+b

+8. +8

4=b

Now we can fill it in

y=4x+4

Hopes this helps please mark brainliest

if 17% of men are bald, what is the probability that at most 140 in a random sample of 900 men are bald? use normal to binomial

Answers

If 17% of men are bald, then the probability that at most 140 in a random sample of 900 men are bald, is 0.1335.

In the given question, if 17% of men are bald, then we have to find the probability that at most 140 in a random sample of 900 men are bald.

As given that; 17% of men are bald.

So,p=0.17

Let X=Number of men that are bald

Sample size, n=900

Here X follows binomial distribution with parameters n= 900 and p =0.17

Since np≥5 and n(1-p)≥5, We can use normal approximation to the binomial with continuity correction.

So,Binomial can be approximated to normal with;

mean, μ=np

μ = 900*0.17

μ = 153

Standard deviation, σ = √np(1-p)

σ = √900*0.17*(1-0.17)

σ = √153*0.83

σ = √126.99

σ = 11.269

So, X→Normal (μ = 153, σ = 11.269)

Then, X= (X-μ)/σ

X=(X-153)/11.269

We need to find the probability that at most 140 in a random sample of 900 men are bald i.e. we need to find P(X≤140)

P(X≤140) =P(X<140+0.5)  [using continuity correction factor]

P(X≤140) =P(X<140.5)

P(X≤140) =P(z<(X-153)/11.269)

P(X≤140) =P(z<(140.5-153)/11.269)

P(X≤140) =P(Z<-1.11)  [z score rounded to 2 decimal places]

P(X≤140)  =0.1335

Hence, if 17% of men are bald, then the probability that at most 140 in a random sample of 900 men are bald, is 0.1335.

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What is the distance between the points (11,19) and (11,-6) in the coordinate plane?

Answers

Answer: 25 units

Step-by-step explanation:

distance with negatives is still an addition but you have to turn the negative into a positive to get the answer.

I got the rest of the answers just stuck on these two

Answers

The slope for the first table will be;

⇒ m = - 4/3

The slope for the second table will be;

⇒ m = 1 / 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

There are two table is shown in figure.

Now,

For first table;

Two points are,

⇒ (x, y) = (3, -6)  (0, - 2)

Since, The slope of the line passing through the points  (x₁ , y₁) and

(x₂, y₂) will be;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Hence, Slope for first table;

⇒ m = (- 2 - (-6)) / (0 - 3)

⇒ m = (- 2 + 6) / (-3)

⇒ m = - 4/3

And, For second table;

Two points are,

⇒ (x, y) = (0, -3)  (4, - 2)

Since, The slope of the line passing through the points  (x₁ , y₁) and (x₂, y₂) will be;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Hence, Slope for second table;

⇒ m = (- 2 - (-3)) / (4 - 0)

⇒ m = (- 2 + 3) / (4)

⇒ m = 1 / 4

Thus, The slope for the first table will be;

⇒ m = - 4/3

The slope for the second table will be;

⇒ m = 1 / 4

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A car is sold for $80, 000. Every year it loses 1/4 of its value.

a. Write an equation to represent the value of the car after 1 year.

b. Write an equation to represent the value of the car after t years.
A=P(1+ r/n)^n•t

Answers

An equation to represent the value of the car after 1 year is P(t) = 80,000(1 - 0.25)¹.

An equation to represent the value of the car after t years is P(t) = 80,000(1 - 0.25)^t.

How to write this equation?

Generally speaking, a physical asset that loses its value at specific period of time represent an exponential decay. Therefore, a mathematical model for any physical asset (car) that decreases by r percent per unit of time is an exponential equation of this form:

P(t) = I(1 - r)^t

Where:

P(t ) represents the value of car in dollars.t represents the time or number of years.I represents the initial value of car.r represents the decay rate.

Note: 1/4 is equal to 0.25.

For a car that loses 1/4 of its value annually, after 1 year its value is given by;

P(t) = 80,000(1 - 1/4)^1

P(t) = 80,000(1 - 0.25)¹

For a car that loses 1/4 of its value annually, after t year its value is given by;

P(t) = 80,000(1 - 0.25)^t

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In triangle LMN, the measure of angle L is 50° and the measure of angle M 70°. What is the measure of the exterior angle to angle N?

Answers

Answer:

120°

Step-by-step explanation:

The 3 angle measures of a triangle will always equal 180.

Since we've already got two angles, all we need to do is a simple equation to get our missing angle:

180-(50+70)=60

Now that we've got the missing angle, we need to calculate the exterior angle, the thing we're here for. We know (hopefully at this point) that an exterior angle and its interior angle are a linear pair, meaning that the two add up to 180. Knowing this, we can do this equation to finish off the question:

180-60=120

And there's your answer, 120°

There's also a shorter way of doing this, let me know if you'd like to see it. But for now, hope I helped!

Determine which integer in the solution set will make the equation true. 8x − 4 = 2(2x + 4)

S: {−4, 0, 3, 12}

Answers

Solving the equation 8x − 4 = 2(2x + 4) the required integer to make the equation true is 3

How to find the integer

The integer required to be found is solved as follows

The given equation is  8x − 4 = 2(2x + 4)

solving for x

8x − 4 = 2(2x + 4)

8x - 4 = 4x + 8

collecting like terms

8x - 4x = 8 + 4

4x = 12

dividing through by 4

x = 3

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Identify each of the following as rational or
irrational.
√23
104.42
√64
49.396
10.97846727460

Answers

Answer:

Irrational, rational, rational, rational, rational.

Step-by-step explanation:

√23 is an irrational number since the value of square root 23 cannot be expressed in the form of p/q.

104.42 this is a rational number! An irrational number has repeating values or just random numbers after the decimal point.

Here's an example...

Tell, does this number look rational?

4.2359712309458730495870192354870394587234098657293085412364781236409584790853467923456790324785098234570923845702398547 (and it goes on forever...and ever...and ever......)

√64 is a rational number. As we know that √64 = 8, a rational number.

49.396 with the 6 repeating is rational because we can express 49.39 as:

49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with

49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.

10.97846727460 is rational because the decimal places stop, it is rational. Remember, an Irrational number is non-repeating and non-terminating. Since the number terminates, it is rational

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

An arts academy requires there to be 4 teachers for every 72 students and 3 for every 30 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has ​60 students?

Answers

1. The students that the academy have per teacher is 18.

2. The students per tutor will be 10.

3. The tutors that the academy need if it has 60 students is 6 tutors.

How to calculate the number of students?

Given that the arts academy requires there to be 4 teachers for every 72 students and 3 for every 30 students.

The students that the academy have per teacher will be:

= Number if students / Teacher

= 72/4

= 18 students per teacher.

The students per tutor will be:

= 30/3

= 10 students per tutor

The number of tutors for 60 students will be:

= 60 / 10

= 6 tutors.

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Ernesto guesses there are 69 marbles in a jar, but there are actually 60.

What is the percent error in Ernesto's guess?

Answers

Answer:

15%

Step-by-step explanation:

Since the problem is to find how much 69 is as a percent if 60 is 100%, we can use a rule of three, simple, direct proportion to do it:

60 = 100%

68 = x

x = 69x100/60

x = 115

That means 69 is 115% of 60, which means that the error is of:

115 - 100 = 15%

Hope this helps, have a great day! :D

Which equation could generate the curve in the graph below?

Answers

Answer:

(Not accurate because I'm estimating amounts) y = ((x-2)/2)^2 + 4

Step-by-step explanation:

Scales horizontally by 2, Shifts up 4, right 2

A
Given:
O HA
ZC, ZF are rt. Z's; AC= DF, BC= EF
O LA
OLL
B D.
OHL
F
E

Answers

Answer: your question is not very clear

Step-by-step explanation:

What is the color red?

Answers

Answer:

red im pretty sure

1. A local zoo had 750 visitors on Saturday. If
20% of the guests traveled from out of town,
how many local guests visited the zoo on
Saturday?

Answers

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The number of local guests who visited the zoo is 600.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total number of visitors = 750

The percentage that visited the zoo.

= 100% - 20%

= 80%

Now,

The number of local guests who visited the zoo.

= 80% of 750

= 80/100 x 750

= 600

Thus,

The number of local guests who visited the zoo is 600.

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what is the sum of the infinite geometric series?25 minus 10 plus 4 minus eight fifths plus continuing the series diverges.

Answers

Answer:

Geometric Sequence

Finding the sum

The sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.

Solution:

Geometric Series Sum Formula: S = a₁/1 - r

Given: a₁ = 3/4

          a₂ = -9/16

          a₃ = 27/64

          a₄ = -81/256

1. Find the common ratio.

      a_n = a₁r ⁿ ⁻ ¹

       a₂  = a₁r ⁿ ⁻ ¹

  -9/16 = 3/4 r ² ⁻ ¹

  -9/16 = 3/4 r

2. Divide both sides of the equation by 3/4 to find r.

   -9/16/3/4 = 3/4 r/3/4

 (-9/16)(4/3) = r

       -36/48 = r

           -3/4 = r

3. Using r = -3/4, find the sum of the infinite geometric series 3/4 -9/16 +27/64 -81/256+ ...

   S = a₁/1 – r

   S = 3/4/1 – (-3/4)

   S = 3/4/1 + ¾

   S = 3/4/4/4  + 3/4

   S = 3/4/7/4

   S = (3/4)(4/7)

   S = 12/28

   S = 3/7

4. Therefore, the sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.

Definition:

     A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant while the sum of an infinite number of terms in a geometric sequence is called sum to infinity.

Code: 10.3.1.1

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Step-by-step explanation:

Fill in the table using this function rule.
y=3x+1
X
2
3
6
7
X
y
0
0
0
S

Answers

Answer:

y={7,10,19,22}

Step-by-step explanation:

3(2)+1 = 6+1 = 7

3(3)+1 = 9+1 = 10

3(6) + 1 = 18+1 = 19

3(7) + 1 = 21+1 = 22

Can someone help? Solve for a given that the height of the triangle is 3 centimeters and each of the legs are 6 centimeters. I also need the centimeters please !!

Answers

Answer:

6√3 centimeters

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same. We can divide this into two triangles to make two right triangles, and use the Pythagorean theorem. The base (a) will be divided by 2.

Pythagorean theorem: a^2 + b^2 = c^2

a and b are the legs of the triangle. c is the hypotenuse.

Let's replace the variables with the given information we know.

The hypotenuse is 6. One of the legs is 3. the other leg is a/2.

3^2 + b^2 = 6^2

9 + b^2 = 36

b^2 = 27

b = √27 = 3√3

Since this was for half of the base, we will multiply it by 2.

3√3 x 2 = 6√3

That is our answer.

I hope this helps.

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