can someone pls help

The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.

The probability of drawing a purple ball on the first draw is:

P(A) = number of purple balls / total number of balls = 9 / 15

After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:

P(B|A) = number of purple balls left / total number of balls left = 8 / 14

After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:

P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13

Therefore, the probability of drawing three purple balls in a row is:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%

So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To know more about probability refer here :

https://brainly.com/question/11234923#

#SPJ11

Answer:

30

Step-by-step explanation:

gave 15 to his friend 30-15=15 his mom bought mom 60 candies so 30

The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The confidence interval = 95%

And, Size of sample = 17

Now,

Since, The confidence interval = 95%

And, Size of sample (n) = 17

Hence, The degree of freedom (n - 1) = 16

Thus, The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.

Therefore, The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

Learn more about the range at https://brainly.com/question/24326172.

#SPJ1

The probability of contracting an illness is 0.0475.

According to our question-

D: The patient has the illness

ND: the individual without the disease

TD: The results of the test show the patient has the illness.

P(D) will therefore equal 0.001 since only 0.001 of the population is affected by the disease.

P(ND) = 0.991

Because the test successfully identifies a patient with the condition 99% of the time, P(TD/D) = 0.99.

P(TD/ND) = 0.02 because the test indicates that a healthy person contracts the disease 2% of the time.

We are seeking for P(D|TD) and P(ND|TD), respectively.

According to the Bayes formula, 0.00099/0.00099+0.01982 = 0.00099/0.02081 = 0.0475 = (0.99*0.001)/(0.99*0.001)+(0.02*0.991)

And, \s = 1 - \s = 1 - 0.0475 \s = 0.9525

Therefore,

The likelihood of having an illness is 0.0475.

The likelihood of not having any sick people is 0.9525.

Hence, The probability of contracting an illness is 0.0475.

learn more about probability click here:

brainly.com/question/13604758

#SPJ4

Answer:

2.5 seconds

Step-by-step explanation:

h will be 0 when it hits the ground

0 = -16t^2 + 24t + 40

   use Quadratic Formula to find t = 2.5 seconds

The diameter of the sphere is 4.2 inches.

Since it takes 111.3 cubic inches of rubber to make 3 equally sized balls, the volume of one ball is calculated as;

111.3 / 3 = 37.1

The diameter of the sphere is calculated as follows;

V = (4/3)πr³

where;

\(r = (3V/4\pi)^{1/3}\)

\(r = (3(37.1) / (4\pie))^{1/3}\)

r = 2.1 inches

The diameter of the sphere is calculated as follows;

d = 2r

d = 2 x  2.1 inches

d = 4.2 inches

Learn more about diameter here: https://brainly.com/question/390660

#SPJ1

Answer:

19

Step-by-step explanation:

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

Learn more about inscribed angle theorems on:

https://brainly.com/question/30494878

The probability that the student chosen at random is female is approximately 0.6377, the probability that the student chosen at random is female and got an "A" is approximately 0.2464,  the probability that the student chosen at random is either female or got an "A" is approximately 0.7826 and the probability that the student chosen at random is female given they got an "A" is approximately 0.6296.

To find the probabilities, we need to calculate the number of favorable outcomes and divide it by the total number of outcomes.

A. Total number of female students = 44

Total number of students = 69

Probability of choosing a female student = Number of female students / Total number of students

= 44 / 69

≈ 0.6377

Therefore, the probability that the student chosen at random is female is approximately 0.6377.

B. Number of female students who got an "A" = 17

Total number of students = 69

Probability of choosing a female student who got an "A" = Number of female students who got an "A" / Total number of students

= 17 / 69

≈ 0.2464

Therefore, the probability that the student chosen at random is female and got an "A" is approximately 0.2464.

C. Number of students who are either female or got an "A" = Number of female students + Number of students who got an "A" - Number of students who are both female and got an "A" = 44 + 27 - 17 = 54

Total number of students = 69

Probability of choosing a student who is either female or got an "A" = Number of students who are either female or got an "A" / Total number of students

= 54 / 69

≈ 0.7826

Therefore, the probability that the student chosen at random is either female or got an "A" is approximately 0.7826.

D. Number of female students who got an "A" = 17

Total number of students who got an "A" = 27

Probability of choosing a female student given they got an "A" = Number of female students who got an "A" / Total number of students who got an "A"

= 17 / 27

≈ 0.6296

Therefore, the probability that the student chosen at random is female given they got an "A" is approximately 0.6296.

To know more about probability refer to-

https://brainly.com/question/3182891

#SPJ11

Answer:

yayayayayayauauaudadaddadadadaddadaad.lolllollololololo

22) Yes, a quadrilateral with 2 pairs of opposite parallel sides is a parallelogram.

23) No, the two triangles created by the diagonal are not necessarily congruent.

25) No, because the two segments created by the point of intersection of the diagonals splitting each of the diagonals are not necessarily congruent.

The surface area of the given cylinder is 602.88 square centimeters.

The surface area of the cylinder is: A = 2πr(r+h)

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

The cylinder with a height of 10 cm and a radius of 6 cm.

⇒ A = 2πr(r+h)

Here h = 10 cm and r = 6 cm

Substitute the known values in the above formula,

⇒ A = 2(3.14)(6)(6+10)

⇒ A = (12.56)(6)(16)

Apply the multiplication operation, and we get

⇒ A = 602.88

Therefore, the surface area of the given cylinder is 602.88 cm².

Learn more about the surface area of a cylinder here :

brainly.com/question/14827013

#SPJ1

Answer:

The answer is Rational numbers

Answer:

whole numbers

Step-by-step explanation:

Because its a number that is not a decimal thats greater thn 0

Answer:

6 ÷ 3 = -6/-3

(-3)/6 = 3 ÷ (-6) = -(3/6)

6/(-3) = -(6/3)

leftover: -3/-6

Step-by-step explanation:

6x-3x=14-5

3x=9

x=9/3

x=3

Step-by-step explanation:

6x + 5 = 3x + 14

6x - 3x = 14 - 5

3x = 9

x = 9/3

x = 3

Answer:

0.58 or 58%

Step-by-step explanation:

The geometric tolerance that can be measured with a dial indicator to determine the variation of surface points as the part is rotated about a datum axis is circular runout.

Circular runout is a type of circularity control that defines a tolerance zone in which an object's surface can rotate around a datum axis. When the object is turned about the axis, the height variation between the surface and the axis must remain within the tolerance zone defined by circular runout.

In the case of a circular feature, the circular runout tolerance specifies the amount of circular deviation from the circular form that is allowable. Circular runout is used to control part wobble or out-of-roundness while a shaft or disk rotates about an axis.

You can learn more about geometric tolerance at: brainly.com/question/14649492

#SPJ11

Answer:

The expression for the statement using absolute value notation is \(|x|\geq 100\)

Step-by-step explanation:

It is given in the question that the distance from city A to city B is at least  100 miles.

It is required to express the statement using absolute value notation.

To express the statement using absolute value notation, deduce the statement in the form of an equation.

x represents the distance from city B to A city .

Deduce the statement in the form of an equation
\(|x|\geq 100\)

Answer:

Step-by-step explanation:

2,5,17,65,257.......

1^2 + 1, 2^2 + 1, 4^2 + 1, 8^2 + 1, 16^2 + 1.............

This series follow above sequences.

So next term of this series,

= 32^2 + 1

= 1024 + 1

= 1025.

Hope it's helpful to u.

After answering the provided question, we can conclude that t = 1.833 is standard deviation the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

A statistic that communicates the fluctuation or variance of a number set is the standard deviation. A high standard deviation indicates that the values seem to be more dispersed, whereas a low standard deviation indicates that the values are closer to the established mean. The standard deviation is a measure of how far the data varies from the mean (or ). So when standard deviation is small, the data tends to cluster around the mean; when it is huge, the data is more dispersed. The standard deviation represents the average variability of something like the data set. It displays the average deviation from the mean of each score.

To decide whether the new manufacturing technique should be used, we must first determine whether the standard deviation of the drug concentration in the new process is less than 4 g/l. A hypothesis test can be used with the following null and alternative hypotheses:

H0 (null hypothesis): In the new process, the standard deviation of drug concentration is 4 g/l.

Alternative hypothesis (Ha): In the new process, the standard deviation of drug concentration is less than 4 g/l.

For the standard deviation, we can use a one-tailed t-test with a

\(t = (n - 1) * s^2 / \sigma^2\\s = \sqrt(1/(n-1) * \sum(xi - x\bar)^2) = 0.004 g/l\\t = (n - 1) * s^2 / \sigma^2 = (10 - 1) * 0.004^2 / 4^2 = 0.0007\)

t = 1.833 is the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

To know more about standard deviation visit:

https://brainly.com/question/23907081

#SPJ1

1/3 is the fraction of the flags are either indigo or green

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Of the flags in Nate's Flag Shop, 1/4 are indigo and another 1/12 are green.

P(I)=1/4

P(G)=1/12

Fraction of the flags are either indigo or green

P(IUG)=P(I)+P(G)

=1/4+1/12

=3+1/12

=4/12

=1/3

Hence, 1/3 is the fraction of the flags are either indigo or green

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

The events I and J are not independent events because the probability of I is dependent on the occurrence of J and vice versa.

Let’s first understand the meaning of Independent events. If A and B are independent events, then the probability of occurrence of A is not affected by the occurrence of B. Similarly, the probability of occurrence of B is not affected by the occurrence of A.

Now, the independent events from the given probability distribution are:

A and B, which are independent because the probability of A does not depend on B and vice versa.

The probability of occurrence of A and B can be calculated as:

P(A∪B) = P(A) + P(B) – P(A∩B) = 0.75

The value of P(A∩B) will be 0.25.

The probability of occurrence of B can be found as:

P(B) = 0.5

Hence, the probability of occurrence of A is 0.25.

The probability of occurrence of E and F are also independent because:

P(E ∩ F) = P(E)P(F) – P(E ∩ F) = 0.3P(E) = 0.4P(F) = 0.5

Therefore, the value of P(E ∩ F) will be 0.2.

The events I and J are not independent events because the probability of I is dependent on the occurrence of J and vice versa.

The probability of occurrence of I when J has already occurred is given as:

P(I | J) = 0.7The probability of occurrence of I when J has not occurred is given as:

P(I c | J c ) = 0.3

Therefore, I and J are dependent events.

Learn more about independent events

https://brainly.com/question/30905572

#SPJ11

Answer:

1. a

2. d

3. none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C.

Step-by-step explanation:

we have

3\4=x/5​

Applying the Multiplication Property of Equality

Multiply both sides by 5

so

therefore

the answer is x=15/4

Answer: 15

Step-by-step explanation:

Substitute 4 in x.  

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110