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3 years ago

There is a bag filled with 3 blue and 5 red marbles.

Mathematics

1 answer:

slava [35]3 years ago

7 0

Answer:

4/7

Step-by-step explanation:

The first time, the probability is 5/8. Then you remove one marble that is red (if you get a red one), so the probability is 4/7.

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Pls, help me work this out!

Artemon [7]

It would be 3 lbs apple because your are dividing

6 0

1 year ago

Sam needs to make a long-distance call from a pay phone. With his prepaid phone card, he will be charged $1.00 to connect and $0

Mademuasel [1]

Answer: The required system of equations representing the given situation is

$y=1+0.5x\\\\y=3+0.25x$

Step-by-step explanation: Given that Sam needs to make a long-distance call from a pay phone.

We are to write a system to represent the situation.

Let x represent the number of minutes Sam talked on the phone and y represents the total amount that he paid for the call.

According to the given information,

with prepaid phone card, Sam will be charged $1.00 to connect and $0.50 per minute.

So, the equation representing this situation is

$y=1+0.5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Also, if Sam places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute.

So, the equation representing this situation is

$y=3+0.25x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Thus, the required system of equations representing the given situation is

$y=1+0.5x\\\\y=3+0.25x$

3 0

2 years ago

A semi-circular garden has an area of 18pie m2 what is the perimeter of the garden

nataly862011 [7]

Answer:

6 $\pi$

Step-by-step explanation:

We know that the area of a circle is equal to $\pi$ $r^{2}$ .

A semi-circle is a half-circle, meaning that it will have half of the area of a full circle.

Therefore, a semi-circle's area is equivalent to $\frac{\pi r^{2} }{2}$ .

Set this equation equal to 18 $\pi$ .

Solve for r.

We then find that r = 6.

Now, we need to find the circumference. We know that the equation for the circumference of a circle is 2 $\pi$ r. Since we only need the perimeter of half of a circle, our circumference equation will equal $\pi$ r.

Plug 6 in for r.

The perimeter of the garden is equal to 6 $\pi$ .

7 0

2 years ago

Both similar triangles , solve for x

Lilit [14]

Answer:

Step-by-step explanation:

(64/28) X 21 = x-3

48 = x - 3

+3 +3

3 0

2 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Vinil7 [7]

Answer:

4.692 to 7.308

Step-by-step explanation:

Given :

n1 = 25 ; n2 = 20 ;

Mean x1 = $12 ; mean x2 = $6

Standard deviation, s1 = 3 ; s2 = 1

Confidence interval :

(x1 - x2) ± t*√(s1²/n1) + (s2²/n2)

x1 - x2 = (12 - 6) = 6

√(s1²/n1) + (s2²/n2) = √(3²/25) + (1²/20) = 0.640

Degree of freedom :

((s1²/n1) + (s2²/n2))² / (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1

Numerator = 0.1681

Denominator = 0.0054 + 0.0001315 = 0.0055315

Degree of freedom = 0.1681 / 0.0055315 = 30.38 = 30

Tcritical at 0.05, df = 30 = 2.042272

Hence ;

6 ± 2.042272(0.640)

6 ± 1.30705408

Lower boundary = 6 - 1.30705408 = 4.69294592

Upper boundary = 6 + 1.30705408 = 7.30705408

(4.693 ; 7.307)

3 0

2 years ago