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MAVERICK [17]
3 years ago
12

Micha is playing a game with five cards numbered 1 through 5. He will place the cards in a bag and draw one card at random three

times, replacing the card each time. To win a prize, he must draw the number 5 all three times. What is the probability he will draw the number 5 all three times?
Mathematics
1 answer:
snow_tiger [21]3 years ago
3 0

Answer: 0.008

Step-by-step explanation:

We have 3 experiments.

Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".

in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:

p = 1/5.

And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:

P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008

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F(x )=x square +6x + 5 what is the x intercept to graph f(x)
siniylev [52]

Answer:

(-5, 0)

(-1, 0)

Step-by-step explanation:

x-intercepts are points where the graph intersects the x-axis (or when y = 0)

Step 1: Write out function

f(x) = x² + 6x + 5

Step 2: Factor

f(x) = (x + 5)(x + 1)

Step 3: Find binomial roots

x + 5 = 0

x = -5

x + 1 = 0

x = -1

Alternatively, you can graph the function and analyze the graph for x-intercepts:

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3 years ago
3. What is the slope of the graph shown below?
konstantin123 [22]

Answer:

The slope is -2 and initial value is -1

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3 years ago
Which of the following statements is true.
mina [271]

Answer:

1st Statement is true i.e The higher your interest rate, the higher your monthly mortgage payments.

5 0
3 years ago
Which absolute value expression represents the distance between 3 and −5 on a number line?
lora16 [44]

Answer:

B) To represent  the distance between 3 and −5 on a number line,  the correct expression is  I(3) - (-5)I .

Step-by-step explanation:

Here the point A is given as 3 on number line.

Point B is given as -5 on number line.

To find :  IA-BI

The distance between any two point A and B is given as IA-BI.

Now, to find the absolute value:

IA-BI = I  (3) - (-5)I

or, IA-BI = I (3) + 5I  = I8I

= 8 units

or, IA-BI = 8 units

Hence, on the number line, the distance between -5 and 3 is 8 units.

And, to represent  the distance between 3 and −5 on a number line,  the correct expression is  I(3) - (-5)I .

3 0
3 years ago
Mandy deposited $80 in a savings account earning 5% interest, compounded annually.
Anika [276]

Answer:

88.90 is about the correct answer for this question. Thank you!

Step-by-step explanation:


3 0
3 years ago
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