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LekaFEV [45]
2 years ago
7

A drawer contains black socks and white socks. 40% of the socks are black socks. A number generator simulates randomly selecting

10 socks from the drawer. The number generator is used 10 times and the number of black socks in each trial is shown in the dot plot.
Which description is correct about the number generator being fair or not?




The number generator is not fair. It picked black socks half of the time.

The number generator is not fair. In three experiments, it picked black socks 50% of the time.

The number generator is fair. It picked the approximate percentage of black socks most of the time.

The number generator is fair. It picked black socks half of the time.

Mathematics
1 answer:
TiliK225 [7]2 years ago
4 0

Answer: The number generator is fair. It picked the approximate percentage of black socks most of the time.

Step-by-step explanation:

A dot plot is a display of dots which represents graphically a data.

Given data of a drawer contains black socks and white socks which 40% are black socks.A number generator simulates randomly selecting 10 socks from the drawer.

The display is representing  the number of black socks in each trial of 10 times.

We can see for most of the trial there is no dot ;that is no black socks.

Only in 2nd to 5th trial black socks picked in approximated percentage of 40%.

⇒The number generator is fair. It picked the approximate percentage of black socks most of the time.

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Black_prince [1.1K]

Step-by-step explanation:

Will bought several books that cost $ 2.50 each and received a $ 2 discount on the total bill. If he paid $ 10.50, how many books did he buy ?

2.50x  - 2.00 = 10.50

2.50x = 10.50 + 2.00

2.50x = 12.50

x = 12.50/2.50

x = 5....he bought 5 books

4 0
1 year ago
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The picture below shows a box sliding down a ramp:
Gennadij [26K]

Answer:

AC=15.1\ ft

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

so

sin(68\°)=\frac{AB}{AC}

substitute the values and solve for AC

sin(68\°)=\frac{14}{AC}

AC=\frac{14}{sin(68\°)}

AC=15.1\ ft

4 0
2 years ago
Victoria filled up her car with gas before embarking on a road trip across the country. The car uses 1.75 gallons of gas for eve
lozanna [386]

Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

14 represents the amount of gas in gallons in the full gas tank of the vehicle

t is the number of hours

Step-by-step explanation:

Here, we want to write an equation.

We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left

In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons

So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons

Hence, the equation we want to write will be;

G = 14 - 1.75(t)

6 0
1 year ago
A recent nationwide study investigated the value of the prostate-specific antigen (PSA) blood test for the detection of prostate
MaRussiya [10]

Answer:

Step-by-step explanation:

Remember:

Any medical test used to detect certain sicknesses have several probabilities associated with their results.

Positive (test is +) ⇒ P(+)

True positive (test is + and the patient is sick) ⇒ P(+ ∩ S)

False-positive (test is + but the patient is healthy) ⇒P(+ ∩ H)

Negative (test is -) ⇒ P(-)

True negative (test is - and the patient is healthy) ⇒ P(- ∩ H)

False-negative (test is - but the patient is sick) ⇒ P(- ∩ S)

You can arrange them in a contingency table as:

Probabilities  Positive ; Negative

           Sick     + ∩ S    ;    - ∩ S        S          

      Healthy    + ∩ H    ;   - ∩ H        H

                            +              -            1

The sensibility of the test is defined as the capacity of the test to detect the sickness in sick patients (true positive rate).

⇒ P(+/S) = <u>P(+ ∩ S)</u>

                    P(S)

The specificity of the test is the capacity of the test to have a negative result when the patients are truly healthy (true negative rate)

⇒ P(-/H) = <u>P(- ∩ H)</u>

                    P(H)

1) You are studying the value of the prostate-specific antigen (PSA) blood test for the detection of prostate cancer on men of 50 years of age and older.

Total 100000 men

686 men tested positive

281 of the men that tested positive had cancer

45 men that tested negative had cancer

Total - positive cases: 100000 - 686 = 99314 tested negative

              ;  Positive   ;   Negative   ;   Total

Sick        ;     281       ;      45           ;    326

Healthy  ;     405      ;    99269      ;   99674

Total       ;    686       ;    99314       ;  100000  

2)

Sensitivity of the test is

P(+/S) = <u>P(+ ∩ S) </u>=  <u>0.00281 </u>= 0.86

                P(S)        0.00326

Where:

P(+ ∩ S) = 281/100000 = 0.00281

P(S) = 326/100000 = 0.00326

The test has an 86% probability of detecting PSA in sick patients.

3)

Specificity of the test is

P(-/H) = <u>P(- ∩ H) </u>= <u>0.99269 </u>= 0.995

                P(H)       0.99674

Where:

P(- ∩ H)= 99269/100000= 0.99269

P(H)= 99674/100000= 0.99674

The test has a 99.5% probability of not detecting PSA in healthy patients.

4)

Positive predictive value (PPV)

It's defined as the probability of being sick when the test is positive:

P(S/+)= <u>P(S ∩ +) </u>= <u>0.00281 </u>= 0.04

                P(+)       0.0686

Where

P(+)= 686/100000= 0.0686

There is a 4% probability of having cancer if the test is positive.

5)

Negative predictive value (NPV)

P(H/-)= <u>P(H ∩ -) </u>= <u>0.99269 =</u> 0.999

               P(-)        0.99314

Where:

P(-)= 99314/100000= 0.99314

There is a 99.9% probability of being healthy if the test is negative.

6 to 10 are all examples of medical tests.

I hope this helps!

7 0
2 years ago
A bird travels 71.2 kilometers after 2 hours of flying. Complete the equation to represent the number of hours, t, the bird will
hoa [83]

Answer:

35.6t = d

Step-by-step explanation:

71.2 hours every 2 hours

Divide by 2 hours to find how far the bird travels in a single hour:

71.2 / 2 = 35.6

The bird travels 35.6 km every hour.

So given a number d, t is 35.6 times that number.

35.6t = d

3 0
1 year ago
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