pls help i give brainliest ​

Answer:

x=∛4 x

Step-by-step explanation:

Let the number be x.

According to the question,

x^3=4 x

x=∛4 x

This is the only answer we can conclude from the information given in the question.

The required expression is x³ + 4x.

Given that,

The cube of a number increased by 4 times the same number is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Let the number be x,
cube of number = x³
4 time of number = 4x
The cube of a number increased by 4 times the same number, which implies,
x³ + 4x

Thus, the required expression is x³ + 4x.

Learn more about arithmetic here:

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Answer:

1/5

Step-by-step explanation:

The number 5 or greater than 4 is 5.

1 number out of 5 total parts.

= 1/5

P(5 or greater than 4) = 1/5

n=m+4

given formula,

n=3m-2l

and,

l=m+2

here in this question We have to substitute the values of "l" in the formulae

we get,

n=3m-2(m+2)

n=3m-2m+4

n=m+4

so if we complete the process correctly we get n=m+4

Answer:

Step-by-step explanation:

8P3=8*7*6=336

Answer:

[tex] y = 5x [/tex]

Step-by-step explanation:

Line equation is given as y = mx + b

Where, m is the slope of the line, which is,

[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]

b is the y-intercept. It is the point at which the line crosses the y-axis for which the value of x = 0.

=>Find m and b to derive an equation for the line.

using the 2 coordinate pairs, (1, 5), (-1, -5),

Let, x2 = -1,

x1 = 1,

y2 = -5,

y1 = 5

[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] m = \frac{-5 - 5}{-1 - 1} [/tex]

[tex] m = \frac{-10}{-2} [/tex]

[tex] m = 5 [/tex]

From the graph given, the line intercepts the y-axis at point 0. Therefore b = 0.

Plug in the values of m and b in the line of equation.

y = mx + b

y = 5x + 0

y = 5x

Therefore, the equation of the line, in the graph above, written in slope-intercept form is:

[tex] y = 5x [/tex]

Answer:

The maximal area will be "1093.5 square feet".

Step-by-step explanation:

Let,

Length = L feet

Breadth = b feet

Given Total fencing = 162 feet

According to the question,

 [tex](2\times L)+(3\times b)=162[/tex]

              [tex]2L+3B=162[/tex]

                         [tex]L=\frac{162-3b}{2}[/tex]

                         [tex]L=81-\frac{3}{2}b[/tex]

As we know,

 [tex]Area=Length\times breadth[/tex]

          [tex]=(81-\frac{3}{2}b)\times b[/tex]

          [tex]=81b-\frac{3}{2}b^2[/tex]

Now, we required to decrease or minimize the are. So for extreme points:

 [tex]\frac{dA}{db}=0[/tex]

or,

 [tex]\frac{dA}{dB}=\frac{d}{db}(81-\frac{3}{2}b^2 )=0[/tex]

       [tex]81-\frac{3}{2}\times 2\times b=0[/tex]

                            [tex]b=\frac{81}{3}[/tex]

                            [tex]b=27 \ feet[/tex]

Now on putting the value of b, we get

 [tex]l=81-\frac{3}{2}\times 27[/tex]

   [tex]=81-40.5[/tex]

   [tex]=40.5 \ feet\\[/tex]

So that the dimensions will be:

⇒  40.5 feet by 27 feet

Therefore when the dimension are above then the area will be:

=  [tex]81\times 27-\frac{3}{2}\times 27\times 27[/tex]

=  [tex]2187-\frac{3}{2}\times 729[/tex]

=  [tex]2187-1093.5[/tex]

=  [tex]1093.5 \ square \ feet[/tex]

Answer:

the coach will have a combination of 2 players since there are initially 4 players on ground and he's picking two from them.

Answer:

The test statistic value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given mean of the population (μ) =  $183,000

Given mean of the sample (x⁻)  = $198,000

Given standard deviation of the sample (S) =  $65,000.

Mean of the sample size 'n' = 51

level of significance  α = 0.05

Step(ii):-

Null hypothesis : H₀ : There is no significance difference between the means

Alternative Hypothesis :H₁: There is  significance difference between the means

Test statistic

             [tex]t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

           [tex]t = \frac{198,000- 183,000 }{\frac{ 65,000}{\sqrt{51} } }[/tex]

          t =  1.64

Step(iii)

Degrees of freedom  ν = n-1 = 51-1 =50

t₀.₀₅ =  2.0086

The calculated value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There is no significance difference between the means

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

Answer:

a and c

Step-by-step explanation:

Answer:

a and c

Step-by-step explanation:

Answer:

prime factors in ascending order of 1729 is 7 , 13 , 19

relation between  consecutive prime factors is 6

Step-by-step explanation:

given data

number = 1729

solution

we get here factors of 1729

1729 = 7 × 13 × 19

so that required prime factors in ascending order of 1729 is 7 , 13 , 19

and

now we get relation between these prime factors is the difference between consecutive prime factors is

13 - 7 =  6

19 - 13 = 6

so relation between  consecutive prime factors is 6

Step-by-step explanation:

Prime factors of the number 1729 are 7,13,19

i.e. 1729 =7×13×19

The factors in ascending order are 7,13,19.

Clearly we can see that each consecutive prime factors​ have difference of 6.

13-7=6

19-13=6

Answer: 12600

Step-by-step explanation:

We are given the function that f(x) = 12000 * 1.05x

the x in f(x) is the amount of years that passed in the city of Peachwood, and the f(x) is the total population of Peachwood

These are two key elements in this function,

Therefore after 1 year the equation would be f(1) = 12000*1.05(1)

or f(1) = 12600

Answer:

B (1, 8)

C (13, 4)

D (11, -2)

Step-by-step explanation:

ABCD is a rectangle, so it has four right angles.  The equation of BC is 3y + x = 25, or in slope-intercept form, y = -⅓ x + ²⁵/₃.

That means the slope of AB is 3.  So the equation of AB in point-slope form is:

y − 2 = 3 (x − (-1))

Or in slope-intercept form:

y − 2 = 3 (x + 1)

y − 2 = 3x + 3

y = 3x + 5

B is the intersection of these two lines.

3x + 5 = -⅓ x + ²⁵/₃

9x + 15 = -x + 25

10x = 10

x = 1

y = 8

The coordinates of B are (1, 8).

The distance between A and B is:

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((1 − (-1))² + (8 − 2)²)

d = √(2² + 6²)

d = √40

The area of the rectangle is 80 square units, so the distance between B and C is:

A = wh

80 = w√40

w = 80 / √40

w = 80√40 / 40

w = 2√40

In other words, the distance between B and C is double the distance between A and B.  We can use distance formula again to find the coordinates of C, or we can use geometry.

If the right triangle formed by hypotenuse AB is a 2×6 triangle, then the right triangle formed by hypotenuse BC is a 4×12 triangle.

So x = 1 + 12 = 13, and y = 8 − 4 = 4.

The coordinates of C are (13, 4).

Similarly, the coordinates of D are:

x = -1 + 12 = 11

y = 2 − 4 = -2

D (11, -2)

Answer:

H=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

S=4lw+2wh

Put S as 136, l as 6, w as 4, and solve for h.

136 = 4(6)(4)+2(4)H

136 = 8h + 96

-8h = 96 - 136

-8h = -40

h = -40/-8

h = 5

Answer:

Step-by-step explanation:

vector u=<(11-(-7),(-5-2)>=<18,-7>

as direction is opposite to u

so vector v=-3(18,-7)=(-54,21)

Answer:

x= 2.25

y=6.5

Step-by-step explanation:

2x+5y=37 y=11-2x

2x+5(11-2x)=37

2x+55-10x=37

-8x+55=37

-55       -55

-8x=-18

÷-8   ÷-8

x= 2.25

y=11-2x

y=11-2(2.25)

y=11-4.5

y=6.5

Answer: x= 18/8 y = 13/2

Step-by-step explanation:

We know that y = 11-2x

So, you want to do the substitution method.

The equation states : 2x+5y  = 37

So, you would substitute the y in the equation for 11-2x

2x+5(11-2x) = 37

2x+55-10x = 37  (combine like terms)

-8x +55 = 37 (subtract 55 from each side)

-8x = -18 ( divide -8 from each side)

x = 18/8

Now, we need to solve for y. For that, we just need to substitute the x in the y equation.

It would look like this: 11-2(18/8) =y

Now we solve.

11-18/4 = 13/2 (6.5)

So, y equals 13/2. Now to check , plug in each for the equation and see if it is correct.  

Answer:

6

Step-by-step explanation:

12*5=60

6*3=18

1*7=7

hope this help

Answer:

31.4 inches

Step-by-step explanation:

The circumference of a circle has the formula 2πr.

2 × π × 5

= 10 × 3.14

= 31.4

31.4 inches of ribbon is needed to go once around the rim.

Answer:

15.7 inches of ribbon.

Step-by-step explanation:

This question is basically asking for the circumference of the glass vase's rim. We can calculate that by multiplying the diameter by π, which in this case, is 3.14.

The diameter is 5 inches, so all you need to do is 5 * 3.14 = 15.7 inches of ribbon.

Hope this helps!

Answer:

The given equation has two solutions

[tex]v = (-5.29, \: 5.29)[/tex]

Step-by-step explanation:

The given equation is

[tex]3v^2 - 84 = 0[/tex]

Let’s solve the equation

[tex]3v^2 - 84 = 0 \\\\3v^2 = 84 \\\\v^2 = \frac{84}{3} \\\\v^2 = 28 \\\\[/tex]

Take the square root on both sides

[tex]\sqrt{v^2} = \sqrt{28} \\\\v = \sqrt{28} \\\\v = \pm 5.29 \\\\[/tex]

So the equation has two solutions

[tex]v = (-5.29, \: 5.29)[/tex]

Also refer to the attached graph of the equation where you can verify that the equation has two solutions.

Note:

It is a very common mistake to consider only the positive value and not the negative value.

Consider the square root of 25

[tex]\sqrt{25} = \pm 5 \\\\Since \\\\5 \times 5 = 25 \\\\-5 \times -5 = 25 \\\\[/tex]

That is why we have two solutions for the given equation.

Answer:

1,050 workers

Step-by-step explanation:

25% = 0.25

0.25 × 1400 = 350

1400 - 350 = 1050

Hope this helps.

Answer:

  0 ≤ g(x) < ∞

Step-by-step explanation:

The range is all non-negative numbers.

___

g(x) is an even-degree polynomial with a positive leading coefficient, so it opens upward. There is no added constant, so its minimum value is zero. The function can take on all values zero or greater.

  range: [0, ∞)

Answer:

2 units.

Step-by-step explanation:

In this question we use the Pythagorean theorem which is shown below:

Given that

The right triangle OMP

The hypotenuse i.e OM is the circle radius =5 units.

The segment MP = 4 units length

Therefore

[tex]OP^2 + MP^2 = OM^2[/tex]

[tex]OP^2 + 4^2 = 5^2[/tex]

[tex]OP^2 + 16 = 25[/tex]

So OP is 3

Now as we can see that ON is also circle radius so it would be 5 units

And,

ON = OP + PN

So,

PN is

= ON - OP

= 5 units - 3 units

= 2 units

Answer:

2

Step-by-step explanation:

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

Answer:

x^2-2x+1

Step-by-step explanation:

We can solve this by using FOIL

First, Outside, Inside, Last

Multiply the x with the x to get x^2

Then x times -1 for the outside numbers to get -x

Then -1 times x for the inside numbers to get -x

And finally -1 and -1 for the last numbers to get 1

Add the two -x to get -2x.

Put it all together

x^2-2x+1

Answer:

[tex]x^2-2x+1[/tex]

Step-by-step explanation:

=> (x-1)(x-1)

USING FOIL

=> [tex]x^2-x-x+1[/tex]

=> [tex]x^2-2x+1[/tex]

Answer:

Option (c).

Step-by-step explanation:

It is given that, I paid twice as much by not waiting for a sale and not ordering online.

Let the cost of items ordering online be x.

So, now i am paying twice of x = 2x

Now, we have find 2x is what percent of x.

[tex]Percent =\dfrac{2x}{x}\times 100=200\%[/tex]

It means, I paid 200% of what I could have online and on sale.

Therefore, the correct option is (c).

Answer:

Option B

Step-by-step explanation:

We are given the following system of equations -

[tex]\begin{bmatrix}-5x+2y-2z=26\\ 3x+5y+z=-22\\ -3x-5y-2z=21\end{bmatrix}[/tex]

Now by Cramer's Rule, we would first write down the matrix of the coefficients , replacing each column with the answer column -

[tex]\begin{bmatrix}-5&2&-2\\ 3&5&1\\ -3&-5&-2\end{bmatrix}[/tex] ,

[tex]\begin{bmatrix}26\\ -22\\ 21\end{bmatrix}[/tex]

Replace each column of the coefficients shown at the top, with the answer column at the bottom respectively -

[tex]\begin{bmatrix}-5&2&26\\ 3&5&-22\\ -3&-5&21\end{bmatrix}[/tex]

Now solve through Cramer's Rule -

x = Dx / D = - 6,

y = Dy / D = - 1,

z = Dz / D = 1

Solution = ( - 6, - 1, 1 ) = Option B

-5 x + 2 y - 2 z = 263 x + 5 y + z = -22 - 3 x - 5 y - 2 z = 21

Answer is x=-6,\:z=1,\:y=-1

For total distance add them all together.

5.9 + 4 = 9.9

9.9 + 6.8 = 16.7 km total

Answer:

46

Step-by-step explanation:

Answer:

Step-by-step explanation:

a+b-c+d is expression

1/3<r/9 is inequality

and the last one is an equation

an inequality contains one of the 4 symbols

in an expression there is no equal sign

Answer:

the Answer is (B) change in y/ change in x

Step-by-step explanation:

:DD

Answer:

a. the probability of a type II  error is 0.5319

b. the required sample size to satisfy and the type II error probability  is 59.4441

Step-by-step explanation:

From the information given; we have:

sample size n = 25

Population standard deviation [tex]\sigma[/tex] = 4

true average lifetime = Sample Mean [tex]\bar X[/tex] = 62

We can state our null hypothesis and alternative hypothesis as follows:

Null hypothesis:

[tex]\mathbf{H_o : \mu = 60}[/tex]

Alternative hypothesis

[tex]\mathbf{H_1 : \mu \neq 60}[/tex]

Where ;

∝ = 0.01

From the standard normal tables at critical value ∝ = 0.01 ; the level of significance is -2.575 lower limit and 2.575 upper limit

The z statistics for the lower limit is:

[tex]lower \ limit = \dfrac{\bar X - \mu }{\dfrac{\sigma}{\sqrt {n}}}[/tex]

[tex]-2.575= \dfrac{\bar x - 60 }{\dfrac{4}{\sqrt 25}}}[/tex]

[tex]-2.575= \dfrac{\bar x - 60 }{0.8}}}[/tex]

[tex]-2.575*0.8= {\bar x - 60 }{}}}[/tex]

[tex]-2.06= {\bar x - 60 }{}}}[/tex]

[tex]\bar x = 60-2.06[/tex]

[tex]\bar x = 57.94[/tex]

The z statistics for the upper limit is:

[tex]lower \ limit = \dfrac{\bar X - \mu }{\dfrac{\sigma}{\sqrt {n}}}[/tex]

[tex]2.575= \dfrac{\bar x - 60 }{\dfrac{4}{\sqrt 25}}}[/tex]

[tex]2.575= \dfrac{\bar x - 60 }{0.8}}}[/tex]

[tex]2.575*0.8= {\bar x - 60 }{}}}[/tex]

[tex]2.06= {\bar x - 60 }{}}}[/tex]

[tex]\bar x = 60-(-2.06)[/tex]

[tex]\bar x = 60+2.06[/tex]

[tex]\bar x = 62.06[/tex]

Thus; the probability of a type II error is determined as follows:

β = P (  [tex]57.94 < \bar x < 62.06[/tex] )

[tex]= P ( \dfrac{57.94 -62 }{\dfrac{4}{\sqrt{25}}}<\dfrac{62.06 -62 }{\dfrac{4}{\sqrt{25}}})[/tex]

[tex]= P ( \dfrac{-4.06 }{0.8}}<\dfrac{2.06 }{0.8})[/tex]

= P ( -5.08 < Z < 0.08 )

= P ( Z < 0.08) - P ( Z < - 5.08)

Using Excel Function: [ (=NORMDIST (0.08)) - (=NORMDIST(-5.08)) ] ; we have:

= 0.531881372 - 0.00000001887

= 0.531881183

≅ 0.5319

b.

What is the required sample size to satisfy and the type II error probability of b(62) = 0.1

Recall that:

The critical value of ∝ = 2.575  ( i. e   [tex]Z_{1 - \alpha/2 } = 2.575[/tex]  )

Now ;

the critical value of β is :

[tex]Z _{1- \beta} = 1.28[/tex]

The  required sample size to satisfy and the type II error probability  is therefore determined as :

[tex]n = [\dfrac{(Z_{1 - \alpha/2} + Z_{1 - \beta} ) \sigma }{\delta}]^2[/tex]

[tex]n = [\dfrac{(2.575+1.28 ) 4 }{2}]^2[/tex]

[tex]n = [\dfrac{(3.855 ) 4 }{2}]^2[/tex]

[tex]n = [\dfrac{(15.42 ) }{2}]^2[/tex]

n = 7.71 ²

n= 59.4441

Thus; the required sample size to satisfy and the type II error probability  is 59.4441

A)

In order to calculate the Type II Error, we proceed with stating the factors:

Hypothesized Mean is given as  =  μ[tex]_{0} [/tex]        = 60

True Mean  is given as                 =  μa        = 62

Standard Deviation  is given as  = σ           = 4

Sample Size                                   = n           = 25

Standard error of mean                = σx          =σ/[tex]\sqrt{\\} [/tex]σ               =  0.80

given 0.01 level and two tailed test critical value Zσ             ±  2.58 or approximately 3

Acceptance region is

given as:   = μ - Z∝ * σx ≤ Π ≤ μ+Z∝⇄            =57.9360 ≤x≤   62.0640

Type II Error = probability of not rejecting β    = P(57.94-μa/σx))     <Z< (62.064-μa)/σx))

                                      = P (-5.08   <Z<    0.08)
                                      = 0.5319-0)

                                      = 0.532

B

Hypothesized mean                        = μ₀             =        60

True Mean                                        =μₐ               =       62          

Standard Deviation                          =σ                 =      4

for 0.01 level and two-tailed test critical value Z∝/2              ± 2.58

for 0.01 level of type II error critical value Z[tex]\beta [/tex]                         = 1.28

Required sample size    = n                                       = ([tex]Z_{\alpha /2} [/tex] + [tex]Z_{\beta } [/tex])²σ²/(μ₀-μ₀)²
                                                                                    = 60


See the link below for more about two-sided tests:
https://brainly.com/question/8170655