474 ( ) 548 42. - 8 how do I arrive at this answer.
​

Answer:

36

Step-by-step explanation:

4(11 + 7) ÷ (7 – 5)

4 * 18 ÷ 2

=36

Answer:

the probability that Jack draws the blue ball is 0.38539

Step-by-step explanation:

Given the data in the question;

box contains

blue balls = 5

red balls = 8

Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement

Now,

on the first attempted;

⇒ ( 8/13) × ( 5/12) = 10/39  

on the second attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143

on the third attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287

on the fourth attempt;

⇒  ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287

so we add everything;  

⇒ 10/39 + 14/143 + 35/1287 + 5/1287

= 0.38539

Therefore, the probability that Jack draws the blue ball is 0.38539

Answer:

Step-by-step explanation:

o.6214 miles= 1km

1 mile=1/0.6214 =(10000)/6214 km

38 miles=(10000)/6214 ×38 ≈61.1 km/hr

Answer:

[tex]The \ two \ numbers \ are \ \frac{1}{6} \ and \ \frac{5}{6}[/tex]

Step-by-step explanation:

Let the two numbers be = x , y

Given:

    One of the number is 5 times other number, that is y = 5x ----- ( 1 )

    The sum of their reciprocals is 36/5 , that is

                                                                    [tex]\frac{1}{x} + \frac{1}{y} = \frac{36}{5}[/tex]   ------ ( 2 )

  Substitute y in the second equation.

      [tex]\frac{1}{x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{1 \times 5}{5 \times x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5}{5x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5+1}{5x} = \frac{36}{5}\\\\\frac{6}{5x} =\frac{36}{5}\\\\36 \times 5x = 6 \times 5\\\\x = \frac{6 \times 5}{36 \times 5} = \frac{1}{6}[/tex]

  Substitute x in first equation.

   [tex]y = 5x\\\\y = 5 \times \frac{1}{6} \\\\y = \frac{5}{6}[/tex]

Answer:2921

Step-by-step explanation: Add the two equations together to get (x+y)+(x-y)=3500+2342. Simplify and get 2x=5842. Divide 5842 by 2 and get 2921.

Answer:

150

Step-by-step explanation:

100 + 50 = 150

ez

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator does a nice job of graphing these equations.

__

The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.

Answer:

9.4

Step-by-step explanation:

The net income for theis company is $216,060

The average total assets is 2,290,000

Therefore the return on total assets is

= 216,060/2,290,000

= 0.0943×100

=9.4

The statement that correctly describes  the symmetry of the cubic parent function is 'It is symmetric about the origin.'

The correct answer is option (c)

"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (a, -b) "

"The graph of the function is said to be symmetric about Y-axis if whenever (a, b) is on the graph then so is (-a, b) "

"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (-a, -b) "

For given question,

The parent cubic function is [tex]f(x)=x^3[/tex]

The graph of the function  [tex]f(x)=x^3[/tex] is as shown below.

From graph we can observe that, point (x, y) as well as (-x, -y) is on the graph.

This means, the graph of  the function  [tex]f(x)=x^3[/tex] is symmetric about the origin.

Therefore, the statement that correctly describes  the symmetry of the cubic parent function is 'It is symmetric about the origin.'

The correct answer is option (c)

Learn more about the symmetry of the function here:

https://brainly.com/question/11957987

#SPJ3

The missing side 'a' of the triangle ABC is 96.80 units.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

Let ABC be the triangle and a,b,c be the respective sides of the triangle.

The diagram below shows that the triangle with their dimensions.

The dimensions are

A=60°, b=50, c=48.

The two sides and one angle of the triangle are given.

The missing side a can be found by using the law of cosines,

[tex]a=\sqrt{b^{2}+c^{2} -2abcosA }[/tex]

Substitute the above values,

⇒ [tex]a=\sqrt{50^{2}+48^{2} -2(50)(48)cos60 }[/tex]

⇒ [tex]a=\sqrt{2500+2304-4800(-0.9524)}[/tex]

⇒ [tex]a=\sqrt{2500+2304+4571.58}[/tex]

⇒ [tex]a=\sqrt{9375.58}[/tex]

⇒ [tex]a=96.82[/tex] ≈ [tex]96.80[/tex]

Hence we can conclude that the missing side 'a' of the triangle ABC is 96.80 units.

Learn more about triangles here

https://brainly.com/question/4418532

#SPJ2

Answer:

it's equal to 21 when I say it's equal to 21

9514 1404 393

Answer:

  z = 20

  m∠A = 70°

Step-by-step explanation:

Step 0: read and understand the question. Identify the given information and the information requested.

Step 1: consult your knowledge of inscribed quadrilaterals to determine that opposite angles are supplementary.

Step 2: identify angles A and C as being marked with expressions in z.

Step 3: use those expressions and the relation in Step 1 to write an equation.

  A + C = 180°

  (4z -10)° +(10 +5z)°= 180°

Step 4: solve for z.

  9z = 180 . . . . simplify, divide by °

  z = 20 . . . . . . divide by 9

Step 5: use the relation between z and the measure of angle A to answer the question.

  m∠A = (4z -10)° = (4·20 -10)°

  m∠A = 70°

Step 6: check your answer. This can be done by making sure that angle C is supplementary to angle A.

  C = (10 +5z)° = (10 +5·10)° = 110° = 180° -70° ∴ answer checks OK

Answer:

18$

Step-by-step explanation:

36 divided by 6 is 6 dollars. this means you earn 6 dollars per car. multiply that by 3 cars and you get 18$.

Answer:

You earn $18 for washing 3 cars.

$36➗ 6= $6

$6x3= $18

Answer:

B. The nominal level of measurement is most appropriate because data cannot be ordered.

Step-by-step explanation:

Nominal scale is used when there is no specific order scale and data can be arranged according to name. Ordinal scale requires variables to be arranged in specific order. For fast food restaurant the best scale used is nominal scale as variables can be arranged according to their name without specific order.

Answer:

N=250

Step-by-step explanation:

 "twice as many nickels as dimes"     means    N =2D     [eq1]

 "collection of nickels and dimes is worth $25"    means

        5N + 10D = 2500      [eq2]

   (To avoid using decimal points, PLZ express everything in cents.)

Substitution   (substitute N from eq1 into eq2]:

     5(2D) + 10D = 2500

      10D + 10D = 2500

          20D = 2500

            D = 125

      N=2D         [eq1 again]

      N=2(125)

      N=250

Check:

  Is   5(250) + 10(125) = 2500   ?

        1250 +  1250 = 2500   ?

          2500 = 2500   ?yes

Answer:

Jerome was penalized 4 times.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

Each penalty changes her score by 5 points. Her score was changed by 20 points. How many penalties?

1 penalty - 5 points

x penalties - 20 points

[tex]5x = 20[/tex]

[tex]x = \frac{20}{5}[/tex]

[tex]x = 4[/tex]

Jerome was penalized 4 times.

Answer:

Only A and B.

Step-by-step explanation:

Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same

9514 1404 393

Answer:

  $58,800

Step-by-step explanation:

Each year, the value is multiplied by 1-1/15 = 14/15. Then after 2 years, the initial value has been multiplied by (14/15)^2 = 196/225. The value after 2 years is ...

  $67,500×196/225 = $58,800

Answer:

D

Step-by-step explanation:

Total distance traveled is 80KM.

Total time taken is 1.5 hrs(0.5+1)

Average Speed = 80/1.5

=53, 3

=======================================================

Explanation:

Having the salary increase by 3% means we can use the multiplier 1.03

Think of it like 100% + 3% = 1 + 0.03 = 1.03

The new salary is 52,000*1.03 = 53,560 dollars

----------------

The slightly longer way to do this is to first figure out how much 3% of 52,000 is

3% of 52,000 = 0.03*52,000 = 1560

Ricardo earns $1560 more dollars on top of the salary of $52,000

So overall his new salary is $1,560 + $52,000 = $53,560

----------------

Personally, I prefer the first method because it's quicker and it allows for multiple percentage increases to chain together. It also could be used to chain in percentage decreases as well.

The more accurate value is 12.6274169979696, though it's not fully exact.

Round this however you need to.

The exact distance 32*sin(45) - 10 meters.

===========================================================

Explanation:

Refer to the diagram below.

I'll use point A in place of point O since the letter 'oh' is very similar looking to the number zero.

Plot point A at the origin (0,0). While at point A, look directly north. Then turn 30 degrees eastward to look at the bearing 030°. Next, move 20 meters along that bearing direction to arrive at point R. Segment AR is 20 meters long.

In the diagram, note how angle RAB is 30 degrees. The side opposite this is BR = m.

We can use the sine ratio to say that

sin(angle) = opposite/hypotenuse

sin(A) = BR/AR

sin(30) = m/20

m = 20*sin(30)

m = 10

-----------------------------------

While still at point A, look directly north and turn 135 degrees clockwise (ie toward the east) and move 32 meters along that bearing. You'll arrive at point S as the diagram shows.

Notice how

angle RAB + angle RAC + angle CAS = 30+60+45 = 135

The remaining angle DAS is 180-135 = 45 degrees.

When focusing on triangle DAS, we can say

sin(A) = DS/AS

sin(45) = n/32

n = 32*sin(45)

n = 22.6274169979696

This value is approximate.

----------------------------------

Subtract the values of m and n

n - m = 32*sin(45) - 10 = exact distance

n - m = 22.6274169979696 - 10

n - m = 12.6274169979696

n - m = 12.6274 = approximate distance

Round it however you need to. I'm choosing to round to four decimal places.

So we see that point S is roughly 12.6274 meters east of point R.

If your teacher wants the exact distance, then stick with 32*sin(45)-10.

Answer:

(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.

**

let t=seconds after wheel starts to rotate.

let h=meters above ground after wheel starts to rotate

..

The formula I got: h(t)=20sin(πt/18)+22

This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.

..

After 15 seconds:

h=20sin(15π/18)+22

=20sin(5π/6)+22

=20*(1/2)+22

=32 m

..

When h=38 m

38=20sin(πt/18)+22

38-22=20sin(πt/18)

20sin(πt/18)=16

sin(πt/18)=16/20=4/5=.8

arcsin(.8)=0.927

πt/18=0.927 (radians)

t=(.927*18)/π≈5.31

..

height above the ground after 15 seconds≈38 m

seconds elapsed when height is 38 m above ground≈5.3 seconds

Answer:

Step-by-step explanation:

No. 1 “The printing of more

currency notes will increase inflation.”

Answer:

[tex]d=10568.76rads[/tex]

Step-by-step explanation:

From the question we are told that:

Angular Velocity [tex]\omega=580rpm=>60.74rads/sec[/tex]

Time [tex]t=2.9mins=>174sec[/tex]

Generally the equation for distance d is mathematically given by

 [tex]d=\omega*t[/tex]

 [tex]d=60.74*174[/tex]

 [tex]d=10568.76rads[/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Pool dimension :

rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor

Floor area = length * width

Floor area = 22 * 13 = 286 ft²

Volume of the pod :

Floor area * height = 286ft² * 7ft = 2002 ft³

2.)

Surface area = length * width

Surface area = 28 * 20 = 560 ft²

Volume of the pool :

Surface area * deptb = 560ft² * 7ft = 2002 ft³

3.)

Area of flower bed = length * width

Floor area = 30 * 5 = 150 ft²

Volume of the soil flowerbed holds :

Depth = 1.1 m

Area of flowerbed * depth =150ft² * 1.2ft = 180 ft³

Answer:

R = 2414 units

0.794

Step-by-step explanation:

Given:

Weekly demand, D = 331 units

Lead time (L)= 6 weeks

Standard Deviation (SD) = 85 units

The reorder point is calculated using the relation :

R = D*L + z*(SDw)

SDw = the standard deviation with lead time of 6 weeks ; √6 * 85 = 208.21

z = NORMSINV(0.98) = 2.05

R = (331 * 6) + (2.05 * 208.21)

R = 1986 + 428.122

R = 2414.122

R = 2414 units

The Safety stock, SS

SS = z * SDw

SS = 2.05 * 208.21

SS = 426.8305 units

60% reduction :

426.8305 * (1 - 60%)

= 170.7322

= 171 units

The new service probability ;

SS = z * SDw

171 = z * 208.21

z = 171 / 208.21

z = 0.82

P(Z < 1.02) = 0.7938 = 0.794 = 79.4%

Answer:

Step-by-step explanation:

No

Seventy Four Lakh , Nine Thousand And Eleven=