If 2x⁴ + 2y⁴ + 2z⁴ = 144, what is the mean of x⁴, y⁴ and z⁴​

Answers

Answer 1

Answer: 24

Step-by-step explanation:

Given

[tex]2x^4+2y^4+2z^4=144[/tex]

dividing whole equation by 2, we get

[tex]\Rightarrow x^4+y^4+z^4=72[/tex]

Mean is given by the sum of the value of entities divided by the total no of entities

[tex]\Rightarrow \text{Mean}=\dfrac{x^4+y^4+z^4}{3}\\\\\Rightarrow \text{Mean}=\dfrac{72}{3}\\\\\Rightarrow \text{Mean}=24[/tex]


Related Questions

3/4 divded by 6/4 - PLEASE HELP

Answers

Answer:

Exact form: 1/2

Decimal form: 0.5

Step-by-step explanation:

Answer:

1/2 is the answer

Step-by-step explanation:

3/4 * 4/6

1/2

find the area of the shade sector of the circle

Answers

Step-by-step explanation:

We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.

[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]

Find the value of x.
6
14
3x-12
8
8
21
x = [?]

Answers

Answer:

Step-by-step explanation:

That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:

[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:

14(3x - 12) = 21(6) and

42x - 168 = 126 and

42x = 294 and

x = 7

The figure below shows ∠ABC formed by the hands of the clock at 4 o’clock. What is the measure of ∠ABC?

Answers

Answer:

120°

Step-by-step explanation:

30° x 4 = 120°

Full turn is 360

half is 180

and 180 degree = 6 parts

180÷6=30

PLEASE ANSWER ASAP!!11

Answers

Answer:

60.5

Step-by-step explanation:

assuming that each small squares is 1 × 1

[tex]\frac{1}{2} \times base \times height\\\\\frac{1}{2} \times 11 \times 11\\ \\\frac{121}{2}\\\\60.5 unit ^2[/tex]

PLZ HELP ASAP I WILL MARK BRANLIEST!!!

Answers

Answer:

Top left

Step-by-step explanation:

It’s the only one with a data point very far from the rest

Answer:

its diff for all of is but it deff right

Step-by-step explanation:

k12 right

1. Becky needs to earn an average of 85% on her Stats tests in order to maintain her current GPA. IF
she has gotten the following scores so far, what does she need to get on her next test to maintain at
least an 85% average?

85, 78, 92, 84, 93

Answers

Answer:

78%

Step-by-step explanation:

85 × 6 = 510

85 + 78 + 92 + 84 + 93 = 432

510 - 432 = 78

Check

85 + 78 + 92 + 84 + 93 + 78 = 510

510 ÷ 6 = 85

1
The graph of the linear function y = f(x)
passes through the points (1, 2) and
(5, -1). What is the rate of change of y
with respect to x?
4
A
с
3
4
3
3
B
mit
D
wie
4

Answers

Answer:

-3/4

Step-by-step explanation:

y2 - y1 divided by x2 - x1 so you would do 2 - (-1) divided by 1 - 5

simplified is

3 divided by -4 or just -3/4


Find the values of the constants p and q if the lines px + 5y = 7 and
4x + qy = 5 meet at the point (2, -1). If the lines meet the y-axis at A and B
obtain the distance AB.

Answers

Answer:

2/5

Step-by-step explanation:

How to Factor trinomials

Answers

the answer to how to factor trinomials

Select the correct answer from each drop-down menu. Graph the function . The vertex of the graph is at ___. The direction in which the graph opens is ___.

Answers

Answer:

The vertex of the graph is at (0,12)

The direction the graph opens is upward.

Step-by-step explanation:

Answer:

The vertex is (0,12)

The graph opens in a upward direction

Step-by-step explanation:

I got this correct on my test, hope this helped

Calculate (1/4)^4

A. 1/256
B. 1
C. 1/4
D. 1/16

Answers

It would be A

Reason: 4 to the 4rth power is 256 but as a fraction it would be 1/256

Im currently in Algebra 2
This is supposed to be a substitution method problem.
2x-2y=2 and x-3y=6

Answers

After using substitution, x= -3/2 and y=-5/2 should be your answer.

Find the area of the complex figure.

Answers

Answer:

1,863

Step-by-step explanation:

1,873 is the answer..

what is y−(−3y) help plzz

Answers

It will be y+3y and the answer is 4y
Your answer:

The answer is 4y

Which diagrams show XY tangent to circle C? Check all that apply

Answers

Answer:

middle and right pictures are correct answer

Step-by-step explanation:

answer attached

The Figure 2 and 3 shows that XY tangent to circle C.

What is Tangent on circle?

Tangent is a line that touches the circle and passes through at a touching point.

Need to prove that xy is a tangent line on the circle.

The circle of radius r and center z.

Sine the tangent of the circle and radius of the circle meet at 90 degrees.

Hence, a right-angle triangle is formed so we can apply the Pythagoras theorem.

Here,

xz = 7 cm

xy = 10 cm

Then

10² = 7² + b²

b² = 100 - 49

b² = 51

Hence, the first one doesn't show the  XY tangent to circle C.

Similalry for the rest two figures,

When a segment is tangent to a circle, it is perpendicular to the radius.

Therefore, Figure 2 and 3 shows that XY tangent to circle C.

More about Tangent link is given below.

brainly.com/question/1503247

#SPJ2

help me please Graph y = - l x-4 l​

Answers

Answer:

y= -41

Slope= -1

Step-by-step explanation:

On the Y-axis put a point on -41. After you did that do down one unit and right one unit. Repeat this step below the Y-axis. Above the Y-axis you do the opposite. Go up one unit and left one unit. Repeat this step above the Y-axis. Hope you understood me :)

3. Determine the x-intercept and y-intercept for the equation containing the following ordered pairs:
(-10,-32) (-5, -24) (0, -16) (5,-8) (10,0)

Answers

Answer:

Step-by-step explanation:

X-intercepts are: (-10,-5,0,5,10)

Y-intercepts are: (-32,-24,-16,-8,0)

In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100
employees were chosen from this company randomly, what is the probability that at least 15 of them were
promoted during the last year?
O 0.5
O 0.4525
O 0.0475
O 0.9525

Answers

Answer:

0.0475

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In a large company, the proportion of employees who were promoted during the last year was 0.10.

This means that [tex]p = 0.1[/tex]

100 employees

This means that [tex]n = 100[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]

What is the probability that at least 15 of them were promoted during the last year?

This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15 - 10}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a pvalue of 0.9525

1 - 0.9525 = 0.0475.

0.0475 is the answer.

twice a number x added to 10

2x + 10

x + 10

10x + 2

2x/2 + 10

Answers

Answer:

2x+10

Step-by-step explanation:

whatever your number is (x) you would multiply by 2 then add that to 10

If m R = 29, what is m O? The figure is not drawn to scale


A. 29

B. 61

C. 151

D. 58

Answers

Cccccccc.................

What’s the volume of this ? Guys please help I’ll mark you brainliest ! Be genuine !

Answers

Hi, check the comment.  It is the answer.  I wrote my own comment and rated myself 1.0 for no reason lol!! (Oh mah gawd I was joking this is not the answer, do NOT take this as your answer!

Answer:

256 m^3

Step-by-step explanation:

Area for 3d Trapezoid = 1/2x(a + b) * h

A = 1/2(10 + 22) * 16

A = 16 * 16

A = 256 m^3

The term-to-term rule of a sequence is
Add 8 and divide by 2
The first term of the sequence is -24
Work out the next two terms.​

Answers

Answer: 8 x 24 divided by 2 and 8

Step-by-step explanation:

Correct answer please i need help

Answers

9514 1404 393

Answer:

  -368.8 ft

Step-by-step explanation:

distance = velocity × time

Here, we'll use a negative for speed downward, and positive for speed upward.

  elevation = (-4.5 ft/s)(98 s) +(1.9 ft/s)(38 s) = -441 ft +72.2 ft

  elevation = -368.8 ft

Which of the equations below could be the equation of this parabola?
10+
(0, 0)
10
Vertex
-10
O A. x = 3y2
B. y = 3x2
O C. X=-3y2
D. y = -3x2

Answers

Answer:

C. x=-3y^2

Step-by-step explanation:

The group of parabola opens left so, x=ay^2

parabola opens left so a in negative x=-3y^2

Hope it helps....

Find the sum of the first 33 terms of the following series, to the nearest integer.
3, 9,15,...

Answers

23 I will have a goodbye for a couple days so I’m gonna take you

Robert works for Southern Consulting as a sales executive. He is paid a monthly salary of $3,350.00 plus a straight commission of 4.3% on all sales over $10,100.00. If he sells $15,300.00, what is his total gross pay for the month?​

Answers

Answer:

$3,573.60

Step-by-step explanation:

.043 x (15300 - 10100) = 223.60

223.60 + 3350.00 = 3573.60

Show that A and B are not similar matrices. A = 2 1 −4 9 , B = 3 −1 −5 7 Since A has characteristic polynomial p() = and B has characteristic polynomial p() = , the two matrices are not similar.

Answers

Answer:hey besties

Step-by-step explanation:

Pew pew

Please help me answer ASAP!

Answers

Step-by-step explanation:

[tex]x = 10 \\ \\ y = 10 \sqrt{2} \\ \\ \cos(45) = \frac{ \sqrt{2} }{2} [/tex]

A public health researcher wishes to study the dietary behavior of residents in Durham County. The researcher randomly contacts 35 county residents and collects data on their daily sugar intake and obtained a sample average of 37.4 grams of sugar per day and a sample standard deviation of 4.2 grams per day. Assume the mean daily sugar intake of all residents in the county is normally distributed. Construct a lower bound for a 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data. (Give your answer to 3 decimal places)

Answers

Answer:

95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

(35.9573, 38.8427)

Lower limit = 35.9573

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 35

Given that the mean of sample x⁻ = 37.4gms

Given that the standard deviation of the sample 'S' = 4.2 gms

Level of significance = 0.05

Degrees of freedom

γ = n-1 = 35-1 = 34

t₀.₀₅ = 2.0322

Step(ii):-

95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]

[tex](37.4 - 2.0322 \frac{4.2}{\sqrt{35} } , 37.4 + 2.0322 \frac{4.2}{\sqrt{35} } )[/tex]

(37.4 - 1.4427 , 37.4+1.4427)

(35.9573, 38.8427)

Final answer:-

Lower 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

Lower limit = 35.9573

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