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sergij07 [2.7K]
2 years ago
13

?/1 A box contains 5 red marbles and 7 green marbles. Find the probability of drawing a green marble and not returning it to the

box and then drawing a red marble?
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
6 0

Answer: 35/132

Step-by-step explanation:

probability of drawing green marble: 7/12

since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.

probability of red marble: 5/11

then multiply the 7/12 and 5/11 together:

35/132 which is abut 26.5%

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A study of 35 golfers showed that their average score on a particular course was 92. The sample standard deviation was 5. We wan
svlad2 [7]

Answer:

t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322

Step-by-step explanation:

We have a sample of size n = 35, \bar{x} = 92 and s = 5. As we want to construct a 95% confidence interval to estimate the value of the true population mean \mu, we should use the pivotal quantity given by T = \frac{\bar{X}-\mu}{S/\sqrt{n}} which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322, i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that P(-2.0322\leq T\leq 2.0322) = 0.95 because of the simmetry of the t distribution.

7 0
2 years ago
Which function is a quadratic function?
DerKrebs [107]
The correct answer is: [C]:  " c(x) = –8x²<span> + 3x – 5 " .
_________________________________________________________
  The quadratic function takes the form of:
_________________________________________________________
  " f(x) =  ax</span>²  + bx + c " .
_________________________________________________________
Answer choice:  [C]:  " c(x) = –8x² + 3x – 5 "  ;

  is the only answer choice provided that takes that form of the quadratic function:

  " f(x) =  ax²  + bx + c " :

in which:  " a = -8 " ; " b = 3 " ;  " c = -5 " .
____________________________________________________
5 0
2 years ago
Amanda's penny bank is 2/3 full.
Annette [7]

Answer:

450 pennies

Step-by-step explanation:

2/3 ➡ 3/3 × 2/3 = 6/9

let's call it 9x

the bank contains 6x after she removes 100 pennies 4x is left

which means 2x = 100 pennies and x = 50 pennies

therefore the bank can carry 50 × 9 = 450 pennies

8 0
3 years ago
A sample of nitrogen in a glass bulb has a mass of 245 mg. What is this mass in kilograms? (Note: 1,000 mg = 1 g, 1,000 g = 1 kg
notka56 [123]

You can use the specified conversion scale to convert the weight given to kilograms.

The mass of given bulb in kilogram is 0.000245 kilogram.

<h3>How to convert from one unit to another unit?</h3>

If a quantity is given in one unit and its unit of measurement has to be changed to other unit, then you will have to get to know how is first unit related to other. Based on that, you can convert the unit of measurement to desired unit of measurement.

<h3>How to convert 245 mg to kilogram?</h3>

Since 1000 mg = 1 gram, thus,

Dividing by 1000 on both sides, we get:

\dfrac{1000}{1000} \: \rm mg  = \dfrac{1}{1000} \: \rm g\\&#10;\\&#10;1 \: mg = 0.001 \: g\\&#10;\\&#10;\text{Multiplying 245 on both sides}\\\\&#10;245 \times 1 \: mg = 245 \times 0.001 \: g = 0.245 \: g\\&#10;245 \: mg = 0.245 \: g

Now since 1000g = 1 kg, thus,

Dividing by 1000 on both the sides,

\dfrac{1000}{1000} \: \rm g  = \dfrac{1}{1000} \: \rm kg\\\\1 \: g = 0.001 \: kg\\\\\text{Multiplying 0.245 on both sides}\\\\0.245 \times 1 \: g = 0.245 \times 0.001 \: kg = 0.000245 \: kg\\0.245 \: g = 0.000245 \: kg\dfrac{1000}{1000} \: \rm g  = \dfrac{1}{1000} \: \rm kg\\\\1 \: g = 0.001 \: kg\\\\\text{Multiplying 0.245 on both sides}\\\\0.245 \times 1 \: g = 0.245 \times 0.001 \: kg = 0.000245 \: kg\\0.245 \: g = 0.000245 \: kg

Thus, 245 mg = 0.245g = 0.000245 kg

The mass of given bulb in kilogram is 0.000245 kilogram.

Learn more about unit conversion here:

brainly.com/question/16418622

8 0
2 years ago
Identify the coefficient in the expression 12a+6
miv72 [106K]

Answer:

12

Step-by-step explanation:

12 is the number before multiplying another quantity

8 0
3 years ago
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