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vladimir1956 [14]
3 years ago
8

adults say that they have cheated on a test or exam before. You randomly select six adults. Find the probability that the number

of adults who say that they have cheated on a test or exam before is​ (a) exactly four​, ​(b) more than two​, and​ (c) at most five.
Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer: a. 1/6. b. 2/3. c. 5/6

Step-by-step explanation:

Number of adults randomly selected= 6

a. Finding the probability of adults that have cheated on an examination before is exactly 4.

The numbers are 1, 2, 3, 4, 5 and 6.

Probability of chosen exactly 4 will be 1/6 since 4 can only occur once.

b. More than 2means 3,4, 5 and 6.

Probability that the number of adults that have cheated on a test or exam is more than 2 will be:

4/6 = 2/3

c. At most 5 means 1,2,3,4 or 5

This will give 5/6

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Work out the size of angle x <br> Next to 164 and 90
Zielflug [23.3K]

Answer:

x=106 degrees

Step-by-step explanation:

I'm going to assume that this is a circle since you didn't give it to me

So you want to add 164 and 90 together and subtract the sum by 360

360-(164+90)=106

So you want to use PEMDAS (order of operations) to solve this

  1. so do what's in the perenthesis first so 164+90=254
  2. Then you want to subtract 254 from 360 so 360-254=106

x=106 degrees

6 0
3 years ago
Help pls thank you!!!
tatuchka [14]

Answer:

I think its 8 but I'm not positive sorry if I'm wrong!

Step-by-step explanation:

The Y-intercept is when the line of the graph crosses through the y intercept

8 0
3 years ago
A computer can sort x objects in t seconds, as modeled by the function
r-ruslan [8.4K]

Answer:

  36 objects

Step-by-step explanation:

You want the value of x when t=9, so you're solving ...

  9 = 0.007x^2 +0.003x

  9 = 0.007(x^2 + 3/7x)

From here, we observe that an approximation is probably sufficient.

 9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2

  x ≈ 3/√.007 ≈ 35.9 ≈ 36

We can check:

  .007(36)(36 3/7) = 9.18

  .007(35)(35 3/7) = 8.68

To keep the computer busy for 9 seconds, it needs to sort 36 objects.

 

6 0
3 years ago
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babunello [35]
As you can see, angle 5 and angle 6 are supplementary.  And angle 5 and angle 3 are congruent because they are alternate interior angles.  

So it will be
x+2 = 180- x+3 
                         move x over from the right to the left
2x+2 = 183
                         move 2 over from the left to the right
2x = 181
                          divide by 2
x= 90.5

and angle 3 and angle 1 are vertical angles so they are congruent.  Using the angle 3 formula to solve for the answer:

90.5+3 =93.5

When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
4 0
3 years ago
I REALLY NEED HELP!
anastassius [24]

\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3700\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &7 \end{cases} \\\\\\ A=3700e^{0.045\cdot 7}\implies A=3700e^{0.315}\implies A\approx 5069.96

8 0
3 years ago
Read 2 more answers
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