Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)

Answer:

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as shown;

CI = xbar ± Z(б/√n)

xbar is the sample mean

Z is the value at 95% confidence interval

б is the standard deviation of the sample

n is the number of samples

Given xbar = 14.2, Z at 95% CI = 1.96, б = 0.70 and n = 9

Substituting this values into the formula;

CI = 14.2 ± 1.96(0.70/√9)

CI = 14.2 ± 1.96(0.70/3)

CI = 14.2 ± 1.96(0.2333)

CI = 14.2 ± 0.4573

CI = (14.2-0.4573, 14.2+0.4573)

CI = (13.7427, 14.6537)

Hence, the 95% confidence interval of the true mean is within the range

13.7≤[tex]\mu[/tex]≤14.7 (to 1 decimal place).

Answer:

4.2 in

Step-by-step explanation:

let us first visualize the sail as a triangular shape

the angle of the triangle from top is 40°

the height of the triangle is give as 5 in

we can apply SOH CAH TOA to solve for the base of the sail

the opposite = the base of the sail

the adjacent = the height of the sail= 5 in

therefore

Tan∅= Opp/Adj

Tan(40)= Opp/5

Opp= Tan(40)*5

Opp= 0.8390*5

Opp= 4.195 in

Hence the width of the sail is 4.2 in to the nearest tenths

Answer:

4.2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To solve this you do 80/100=.8

You than do .8×60= 48

Answer:

6y +2x +7

Step-by-step explanation:

10 + 6y + 2x - 3​

The only like terms are the constant

6y+2x +10-3

6y +2x +7

Answer:

2x + 6y + 7.

Step-by-step explanation:

10 + 6y + 2x - 3

= 2x + 6y - 3 + 10

= 2x + 6y + 7.

Hope this helps!

Answer:

a) rCn = 1176

b) 2352

Step-by-step explanation:

a)Each committee should be formed with 3 members ( no two members could be of the same state) then

Let´s  fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then

rCn =  n! / (n - r )! *r!

rCn =  49!/ (49 - 2)!*2!

rCn =  49*48*47! / 47!*2!

rCn = 49*48 /2

rCn = 1176

So we can choose in 1176 different ways a senator for a given state

b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.

1176*2 = 2352

Answer:median:249    

Step-by-step explanation:

median:198] 216} 220] 236] 246 252 [253[ 260 {290[ 369

246 +252=498

498/2=249

as for the mean  i will give you that later

Answer:

i think it is E

Step-by-step explanation:

Answer:

13/40

Step-by-step explanation:

The period they have played can be divided into 3 parts:

● The time Amy wins

● The time Lily wins

● The time they tie

So the sum of them is the total time of playing.

Let A be the time Amy wins, L the tile Lily wins and T the time they tie .

●●●●●●●●●●●●●●●●●●●●●●●

Since we have expressed the times using fractions then the total period of playing is 1 wich is 100%.

So:

A + P + T = 1

3/8 + 3/10 + T = 1

Multiply 8 by 10 and 10 by 8 so that you get a common denominator.

Cross multiply the numerators and the denominators.

(3*10+3*8)/80 + T = 1

(30 + 24)/80 + T =1

54/80 + T = 1

(27*2)/(40*2) + T = 1

Simplify by 2

27/40 + T = 1

T = 1 - 27/40

Multiply one by 40 to get a common denominator

T = (40-27)/40

T = 13/40

So they have tied 13/40 of the time

Answer:

what we have to tell

Step-by-step explanation:

please send the correct information

Answer:

The answer on PLATO is Graph Z.

Step-by-step explanation:

I just had this question and got it right!!!

Hope this Helps!!!

Answer:

a

The sample size is  [tex]n = 219.2[/tex]

b

The  sample size is  [tex]n = 537.5[/tex]

Step-by-step explanation:

From the question we are told  that

    The standard deviation is  [tex]\sigma = 45 \minutes[/tex]

    The  Margin of  Error is  [tex]E = \pm 5 \ minutes[/tex]

Generally the margin of  error is mathematically represented as

         [tex]E = z * \frac{\sigma }{\sqrt{n} }[/tex]

Where  n is the sample  size

    So

             [tex]n = [\frac{z * \sigma }{E} ]^2[/tex]

Now  at  90%  confidence level the z value for the z-table is  

        z =  1.645

So

       [tex]n = [\frac{1.645 * 45 }{5} ]^2[/tex]

       [tex]n = 219.2[/tex]

The z-value at 99%  confidence level is  

        [tex]z = 2.576[/tex]

This is obtained from the z-table  

   So the sample size is  

         [tex]n = [\frac{2.576 * 45 }{5} ]^2[/tex]

        [tex]n = 537.5[/tex]

For the 90% confidence interval, the sample size is 219.2 and for the 99% confidence interval, the sample size is 537.5 and this can be determined by using the formula of margin of error.

Given :

The formula of the margin of error can be used in order to determine the sample size is needed if the executive wants to be 90% confident of being correct to within 5 minutes.

[tex]\rm ME = z\times \dfrac{\sigma}{\sqrt{n} }[/tex]

For the 90% confidence interval, the value of z is 1.645.

Now, substitute the values of all the known terms in the above formula.

[tex]\rm n=\left(\dfrac{z\times \sigma}{ME}\right)^2[/tex]   --- (1)

[tex]\rm n=\left(\dfrac{1.645\times 45}{5}\right)^2[/tex]

n = 219.2

Now, for 99% confidence interval, the value of z is 2.576.

Again, substitute the values of all the known terms in the expression (1).

[tex]\rm n=\left(\dfrac{2.576\times 45}{5}\right)^2[/tex]

n = 537.5

For more information, refer to the link given below:

https://brainly.com/question/6979326

Answer:

4

Step-by-step explanation:

f(x) = 4 ^ ( x-2)

Let x=3

f(3) = 4 ^ ( 3-2)

       = 4 ^ 1

       = 4

Answer:

4

Step-by-step explanation:

4^(x - 2)

Plug x as 3.

4^(3 - 2)

Subtract.

4^(1)

4^1 = 4

Answer:

Its D

Step-by-step explanation:

x=11 and x=18

Answer:

12/18 and 10/15

Step-by-step explanation:

12/18 simplifies into 2/3

10/15 simplifies into 2/3

12/20 simplifies into 3/5

10/25 simplifies into 2/5

8/16 simplifies into 1/2

3/4 simplifies into 3/4

5/3 simplifies into 5/3

3/5 simplifies into 3/5

The pairs consist of equivalent fractions will be 12/20 and 10/25. Then the correct option is A.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

Let's check all the options, then we have

A) 12/18 and 10/15

12/18 and 10/15

2/3 and 2/3

Yes, they are equivalent fraction numbers.

B) 12/20 and 10/25

12/20 and 10/25

3/5 and 2/5

They are not equivalent fraction numbers.

C) 8/16 and 3/4

8/16 and 3/4

1/2 and 3/4

They are not equivalent fraction numbers.

D) 5/3 and 3/5

5/3 and 3/5

They are not equivalent fraction numbers.

The pairs consist of equivalent fractions will be 12/20 and 10/25. Then the correct option is A.

More about the fraction number link is given below.

https://brainly.com/question/78672

#SPJ2

Answer:

4, 5 and 6

Step-by-step explanation:

Consecutive means right next to each other.

4 x 5 x 6 = 120 cubic inches.

4 X 5 = 20

20 X 6 = 120

The values of the consecutive numbers will be 4, 5, and 6.

Let the numbers be represented by a, a+1, and a+2.

Therefore, a(a+1)(a+2) = 120

a³ + 3a² + 2a = 120

a = 4

Therefore, a + 1 = 4+1 = 5

a + 2 = 4 + 2 = 6

Therefore, the values will be 4, 5, and 6.

Read related link on:

https://brainly.com/question/18962438

Answer:

(C) Translation of 2 units right, 1 up, and a reflection over the y-axis.

Step-by-step explanation:

Ideally, we are looking for a reflection of the red image over the y-axis, and to do that, we can see how we need to move the black image.

In order for points Q and Q' to be a reflection of each other, they need to have the same y value, and be the exact same distance from the y axis, so the point that Q has to be at is (-1,-3).

Q is right now at (-3,-4) so we can translate this.

To get from -3 to -1 in the x-axis, we go right by 2 units.

To get from -4 to -3 in the y-axis, we go up one unit.

Now, if we reflect it, the triangles will be the same.

Hope this helped!

Answer:

C.

Step-by-step explanation:

When you study the images, it is clear that the black triangle has to be reflected over the y-axis to face the same direction as the red triangle. So, choice A is eliminated.

Once you reflect the black triangle across the y-axis, you have points at (-1, -1), (3, -4), and (3, -2). Meanwhile, the red triangle's coordinates are at (-3, 0), (1, -3), and (1, -1). From these points, you can tell that the x-values differ by 2 units and the y-values differ by 1 unit.

All of these conditions match the ones put forth in option C, so that is your answer.

Hope this helps!

Answer:

(-1,-2)

Step-by-step explanation:

[tex]6x-y=-4\\y=6x+4\\y=6(-2)+4=-8\\y=6(-1)+4=-2\\y=6(0)+4=4[/tex]

so the only one is (-1,-2)

Answer:

B. y > 2/3x + 1

Step-by-step explanation:

To find slope we'll use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

(-3,-1) (3,3)

3 - -1 = 4

3 - -3 = 6

2/3x

The y intercept is 1,

we know this because that's the point the line touches the y axis.

Thus,

the answer is B. y > 1/3x + 1.

Hope this helps :)

The graph of the solution of an inequality is given .

The graph represents the inequality is [tex]y>\frac{2}{3} x+1[/tex]

Option B

Given :

The graph of an inequality. To find the inequality for the given graph we use linear equation [tex]y=mx+b[/tex]

where m is the slope and b is the y intercept

To find out slope , pick two points from the graph

(-3,-1) and (3,3)

[tex]slope =\frac{y_2-y_2}{x_2-x_1} =\frac{3+1}{3+3} =\frac{2}{3} \\m=\frac{2}{3}[/tex]

Now we find out y intercept b

The point where the graph crosses y axis is the y intercept

The graph crosses y axis at 1

so y intercept b=1

The linear equation for the given graph is

[tex]y=\frac{2}{3} x+1[/tex]

Now we frame the inequality . we use test point that lies inside shaded region

Lets take (4,5)

[tex]y=\frac{2}{3} x+1\\5=\frac{2}{3} (4)+1\\5=3.6\\5>3.6\\y>\frac{2}{3} x+1[/tex]

The inequality for the given graph is

[tex]y>\frac{2}{3} x+1[/tex]

Learn more : brainly.com/question/24649632

Answer:

Part A speed=96*2=192km/h

Step-by-step explanation:

Two parts, parts A and part B

Part A=200% more than B

Let part B=x

Part A=200 more than B

=2x

Speed ratio=2:1

Average speed of train=64km/h

Let Part A speed=2x

Part B speed=x

A:B=2:1

Total ratio =3

Speed in the part A can be calculated thus:

Totatl speed= ratio of speed in part A / total ratio

64=2x/3

192=2x

x=96km/h

Part A speed=96*2=192km/h

Answer:

The confidence interval is  [tex]25.16 < \mu < 26.85[/tex]

Step-by-step explanation:

From  the question we are given a data set

     25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

The mean of the this sample data is  

       [tex]\= x = \frac{\sum x_i}{n}[/tex]

where is the sample size with values  n =  10

         [tex]\= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}[/tex]

          [tex]\= x = 26[/tex]

The standard deviation is evaluated as

             [tex]\sigma = \sqrt{\frac{\sum (x-\= x)}{n} }[/tex]

substituting values

     [tex]= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }[/tex]

                  [tex]\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }[/tex]

     [tex]\sigma = 1.625[/tex]

The  confidence level is given as 90% hence the level of significance is calculated as

    [tex]\alpha = 100 -90[/tex]

    [tex]\alpha =10[/tex]%

   [tex]\alpha = 0.10[/tex]

Now the critical values of [tex]\frac{\alpha }{2}[/tex] is obtained from the normal distribution table as

      [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

The reason  we are obtaining  the critical values of [tex]\frac{\alpha }{2}[/tex] instead of  [tex]\alpha[/tex] is because  we are considering two tails of the area under the normal curve

  The margin of error is evaluated as

            [tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

           [tex]MOE = 1.645 * \frac{1.625 }{\sqrt{10} }[/tex]

           [tex]MOE = 0.845[/tex]

The  90%, two sided confidence interval is mathematically evaluated as

           [tex]\= x - MOE < \mu < \= x + MOE[/tex]

           [tex]26 - 0.845 < \mu < 26 + 0.845[/tex]

           [tex]25.16 < \mu < 26.85[/tex]

Given that the lower and the upper limit is greater than  25 then we can assure the manufactures  that the battery life exceeds 25 hours

Answer:A

Step-by-step explanation:

Answer:

"Compactness" is the right answer.

Step-by-step explanation:

So that the above would be the correct answer.

Answer:

a)d = 180,91 m

b)t = 11,76 seg

Step-by-step explanation:

Para el lanzamiento de proyectil, la ecuación que nos da la velocidad en V(y) es:

V(y)  = Voy - g*t

en donde Voy = Vo * senα    ( donde Vo es la velocidad inicial, α el angulo del disparo.

Si en esta ecuación hacemos V(y) = 0 estamos en el punto donde el componente en el eje y de la velocidad del proyectil es cero, ese punto es el punto medio del recorrido.

0 =  Vo*sen 60⁰     - g*t

g*t  =  Vo* √3/2

t  = { 32 [m/s] * √3 }2*9,8 [m/s²]

t = 16*√3  / 9,8

t = 2,8278 seg

El tiempo total del primer recorrido es entonces por simetría

t₁ = 2 * 2,8278           t₁  = 5,6556 seg

La distancia del primer impacto al suelo es:

x = Vox * t₁                        ( Vox es constante   Vx = Vo*cos 60⁰ )

x  =  32 * (1/2) * 5,6556

x₁  =  90,49 m

Aplicando los mismos criterios ahora para el segundo bote

Ahora Vo = 32 -  32*(1/4)

V = 24 m/s

g*t  =  24 * sen 50⁰

t =  24* 0,7660/ 9,8  

t =  1,8759

2*t  = 2*1,8759

t₂  = 3,7518 seg

x₂  =  Vox * t₂

x₂  =  24* 0,6428*3,7518

x₂  =  57,88 m

Y para el tercer bote Vo =  24 - 24(1/4)        Vo = 18 m/s     α = 40⁰

t = 18 *0,6428/9,8

t  = 1,18

2t  = t₃  = 2*1,18

t₃ = 2,36 seg

x₃  = Vox * 2,36                Vox = Vo*cos 40      Vox = 18*0,7660  

Vox = 13,79

x₃  = 13,79*2,36

x₃  = 32,54 m

La distancia total será

d = x₁  + x₂ + x₃

d  =  90,49  + 57,88 + 32,54

d = 180,91 m

y el tiempo total será la suma de los tiempos

t =  t₁  +  t₂  +  t₃

t  = 5,65 + 3,75 + 2,36

t = 11,76 seg

Answer:

b = sqrt(57)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + b^2 = 11^2

64+ b^2 = 121

Subtract 64

b^2 = 121-64

b^2 =57

Take the square root of each side

b = sqrt(57)

Answer:

Hello There!!

Step-by-step explanation:

Your answer will be 83/99. Because, We have to expressed the 0.83¯ as a fraction in simplest form. Let x = 0.83¯ = 0.8383. Then, We have to multiply by 100 to both sides we have: 100x = 83.8383. After, Subtract (One) to (Two) we will have: 99x = 83. Then, We will divide both sides by 99 we have: x = 83/99. Therefore, the 0.83¯ as a fraction in simplest form is, 83/99. Hope This Helps!!~ Sorry, If the example confusing...

Answer:

1). f(x) = x² if ∞ < x < 2

2). f(x) = 5 if 2 ≤ x < 4

Step-by-step explanation:

The graph attached shows the function in two pieces.

1). Parabola

2). A straight line parallel to the x-axis.

Standard equation of a parabola is,

y = a(x - h)² + k

where (h, k) is the vertex.

Vertex of the given parabola is (0, 0).

Equation of the parabola will be,

y = a(x - 0)² + 0

Therefore, the function will be,

f(x) = ax²

Given parabola is passing through (-1, 1) also,

1 = a(-1)²

a = 1

Therefore, parabolic function will be represented by,

f(x) = x² if ∞ < x < 2

2). Straight line parallel to the x-axis,

y = 5  if 2 ≤ x < 4

Function representing the straight line will be,

f(x) = 5 if 2 ≤ x < 4

Answer:

Please mark me as Brainliest :)

Step-by-step explanation:

Answer:

sec y=6/b         yw  

Step-by-step explanation:

Answer:

Your answer is correct ✔️

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

2√3 + 3i is the answer

Step-by-step explanation:

Answer:

200km

Step-by-step explanation:

Car A purchase worth = $14000

Car B purchase worth = $15000

Car A drive worth= 25€ per km

Car B drive worth= 20€ per km

For the worth of the two cars to be equal let's first assume all of the currency to be in dollars$

For A

Worth= 14000+25(x)

For B

Worth= 15000+20(x)

Where x is the distance covered

For the both worth to be equal we equate.

14000+25(x)= 15000+20(x)

25x-20x= 15000-14000

5x= 1000

X= 200

The distance covered by the two cars for the worth to be equal is 200km

Answer:

484 cm^2.

Step-by-step explanation:

The length of the circumference = diameter * pi

= 14 * 22/7

The area of the curved surface = circumference * height

= 14 * 22/7 * 11

= 484.

Answer:

16

Step-by-step explanation:

(-8)^4/3

-(8^1/3)⁴

-(∛8)⁴

-(2)⁴

-2⁴

= 16

Answer: the ^^^^ right I check it

Step-by-step explanation: