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rjkz [21]
3 years ago
5

A jar has 2 red marbles, 3 blue marbles, and 5 green marbles. Draw two marbles at random, without replacement. What is the chanc

e that one will be red and the other blue, in any order?
Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

1/15

Step-by-step explanation:

Total no. of balls = 2+3+5 = 10

No. of red ball =2

Probability of 1st being red = 2/10 =1/5

Probability of 2nd being blue = 3/9 =1/3

Therefore, chance that one will be red and the other blue, in any order

= 1/5×1/3 = 1/15

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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
Kesha wants to know whether x + 4 is a factor of p(x) = −3x^3 − 15x^2 − 16x −16.
Reika [66]
It's the factor theorem.
P(-4)
Equal to 0
3 0
3 years ago
Two slits are illuminated by a 348 nm light. The angle between the zeroth-order bright band at the center of the screen and the
Andre45 [30]

Answer:0.369 m

Step-by-step explanation:

Given

Distance between slit and screen is D=154 cm

Wavelength \lambda =348 nm

Angle between zeroth order bright fringe and Fourth-order bright fringe is \theta =13.5^{\circ}

let distance between the slits be d

Distance of n th bright fringe From central Fringe is given by

y_n=\frac{nD\lambda }{d}

Also \tan \theta =\frac{y_4}{D}

y_4=\tan (13.5)\cdot 1.54

y_4=0.24\times 1.54

y_4=0.369 m

5 0
3 years ago
Match the proper noun to the common noun.
egoroff_w [7]
Uncle peter-relative

january-month

jesse owens-athlete

william shakespeare-author

sunday-day

chrysler-automobile
3 0
2 years ago
Read 2 more answers
Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all an
Lorico [155]

Answer:

P(Z < 2.37) = 0.9911.

Step-by-step explanation:

We are given that Let z denote a random variable that has a standard normal distribution.

Let Z = a random variable

So, Z ~ Standard Normal(0, 1)

As we know that the standard normal distribution has a mean of 0 and variance equal to 1.

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean = 0

           \sigma = standard deviation = 1

Now, the probability that z has a value less than 2.37 is given by = P(Z < 2.37)

        P(Z < 2.37) = P(Z < \frac{2.37-0}{1} ) = P(Z < 2.37) = 0.9911

The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.9911.

4 0
3 years ago
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