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Mariulka [41]
2 years ago
14

Brian usually brushes his teeth in the morning, but 10% of the time he forgets. What is the probability that he will forget to b

rush his teeth three days in a row (Assume that forgetting one day does not influence any other day.)
Mathematics
1 answer:
Katena32 [7]2 years ago
5 0

Using it's concept, it is found that there is a 0.001 = 0.1% probability that he will forget to brush his teeth three days in a row.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, for each day, there is a 0.1 probability that he forgers to brush his teeth, and days are independent, hence for 3 consecutive days the probability is given by:

p = (0.1)³ = 0.001.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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What is the y-intercept for the equation 4x+2y=6?
Romashka-Z-Leto [24]

Answer:

The y intercept is 3

(0,3)

Step-by-step explanation:

4x+2y=6

To find the y intercept, set x =0 and solve for y

4(0) +2y = 6

0+2y = 6

Divide by 2

2y/2 = 6/2

y =3

The y intercept is 3

(0,3)

6 0
3 years ago
Given the linear equation 3x + y = 5, find the slope of its graph
umka2103 [35]

Answer:

B) -3

Step-by-step explanation:

1. First you have to write the equation in slope intercept form. To do that, you must have y be alone on one side.

2. move the 3x to the right side with the 5 by subtracting 3x from both sides. Since 3x will cancel on the left, y will be left alone. y=-3x+5

3. Now that you're in slope intercept form, you can find the slope easily. The slope will always be the number in front of x. In this case, the number in front of x is -3. Therefore, -3 is your slope!

7 0
3 years ago
Read 2 more answers
What’s the correct answer for this?
grigory [225]

Answer:

The answer is 20

Step-by-step explanation:

Reasoning it is correct because for questions like this the bottom numbers for each shape are 10 and 8 they are very close to each other on the number line there fore since the number is two off you subtract 2 and then two again since it is 2 off to get 21 the closest answer is 20

It is a little confusing but since it is two places off you subtract two twice

8 0
3 years ago
An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.
Artist 52 [7]

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m

7 0
3 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
Brrunno [24]

Answer:

Converges at -1

Step-by-step explanation:

The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.

We will make use of integral by parts to determine:

let:

u=x             dv=e^(2x)\cdot{dx}

du=dx         v=2\cdot{e^(2x)}

\int\limits^a_b {u} \, dv = uv -\int\limits^a_b {v} \, du

\int\limits^a_b {x\cdot{e^2^x} \, dx =2xe^2^x- \int\limits^a_b {2e^2^x} \, dx

\int\limits^a_b {xe^2^x} \, dx = 2xe^2^x-2e^2^x-C

We can therefore determine that if x tends to 0 the limit is -1

\lim_{x \to \0} 2xe^2^x-2e^2^x=0-1=-1

5 0
3 years ago
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