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Roman55 [17]
3 years ago
11

a bag contains 5 red 3 green 4 blue and 8 yellow marbles find the probability of randomly selecting a green marble and then a ye

llow marble if the first marble is replaced
Mathematics
1 answer:
alexira [117]3 years ago
5 0
The probability of picking a green marble the first time is 3/20 and the probability of picking a yellow marble the second time is 8/20.   
probabilities are heavily related to percents so it would make sense that the probability of picking a color would be the number of that color divided by the total number.

note that it is really important that the problem said that the marble was replaced.  If the marble was not replaced, the probability of picking a yellow marble the second time would be 8/19 if the first marble picked was not a yellow one.

I hope this helps.
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I believe there are 32000 ounces in a ton.
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serious [3.7K]

Answer (<u>assuming it can be in slope-intercept form)</u>:

y = -x - 1

Step-by-step explanation:

When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. I chose the points (0, -1) and (-1, 0):

m = \frac{(0)-(-1)}{(-1)-(0)} \\m = \frac{0+1}{-1-0} \\m = \frac{1}{-1} \\m = -1

Thus, the slope is -1.

2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.  

3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:

y = -x  -1

5 0
3 years ago
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Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y
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The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (<em>x</em>)                9    12    22    40    

Height (<em>y</em>) in        5    17    45    60  

Mean of x values,

m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581

Mean of y values,

m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

y = -76.2038+37.6735\ln(x)

Compare it with the following logarithmic regression equation, we get

y = a+b\ln(x)

a=-76.2038\\b=37.6735

Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

brainly.com/question/25226042

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2 years ago
Write 125 as a product of primes. Use index notation when giving your answer.
Mnenie [13.5K]

Answer:

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Answer:

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Step-by-step explanation:

21/7= 3

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