Write −0.39¯¯¯¯¯ as a fraction in simplest form.

Answers

Answer 1

Answer:

-0.3999... = -⅖

-0.393939... = -13/33

Step-by-step explanation:

Only ones I could think of.

Answer 2

Answer:

-39/100

Step-by-step explanation:


Related Questions

10 Two cyclists are traveling along a track in the same direction. Their motions are described
by the linear equations d = 10t and d-8t= 2, where t hours is the time and d miles is the
distance from a point on the track.

b When will the cyclists meet?

Answers

Answer:

They will meet in 1 hour

Step-by-step explanation:

(1)  d = 10t

(2)  d - 8t = 2   rearrange this equation to:  d = 8t + 2

Set equation (1) equal to equation (2):

10t = 8t + 2

Solve for t:

10t - 8t = 2

2t = 2

t = 2/2 = 1 hr

Radicals
How Do I Simplify
(3√5+√3)(√5+ √3)

Answers

Answer:

18 + 4√15

Step-by-step explanation:

(3√5+√3)(√5+ √3)

= 3√5 (√5+ √3) + √3 (√5+ √3)

= 3√5 √5 + 3√5 √3 + √3  (√5+ √3)

=  3√5 √5 + 3√5 √3 + √3 √5 + √3 √3

= 18 + 4√15

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Sienna goes to the mall with $56. She spends $13 on food and $24 on a book. How much money does Sienna have left?

Answers

Answer: 19

Step-by-step explanation:

56-13=43

43-24=19

Answer: 19

Step-by-step explanation: 13 + 24 = 37

so (56 - 37 = 19)

BUILD PERSEVERANCEA
a. What is the x-coordinate of the centroid of A ABC?
0
x +
ABC has vertices A(-3, 3), B(2, 5), and C(4, -3).
(3)

Answers

The x-coordinate of the centroid of the triangle ABC with vertices

A(-3, 3), B(2, 5), and C(4, -3) is 1.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

The centroid of a triangle is the common intersection point of all the medians of the triangle.

When vertices of a triangle is given the co-ordinate of the centroid are

(x₁ + x₂ + x₃)/3 and (y₁ + y₂ + y₃)/3.

Given, ΔABC has vertices A(-3, 3), B(2, 5), and C(4, -3).

Therefore, The x-coordinate of the centroid is,

Gₓ = (- 3 + 2 + 4)/3.

Gₓ = 3/3.

Gₓ = 1.

So, The x-coordinate of the centroid is 1.

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A school administrator wants to know what proportion of teachers in their state have a Master's degree. The administrator takes an SRS of 100100100 teachers from a statewide database containing every teacher, and they find 555555 teachers in the sample have a Master's degree. The administrator wants to use this data to construct a one-sample zzz interval for a proportion.Which conditions for constructing this confidence interval did their sample meet

Answers

When we construct the confidence interval their sample must have some conditions which are as follows,

The data should be a random sample from the population of interest.np^ ≥ 10 n(1 - p^) ≥ 10Individual observations can be taken as independent.

Therefore , these are the conditions which the administrator should use to construct a one-sample z interval for a proportion.

When two ratios are equivalent to each other , they are said to be in a state called proportion. The proportion formula is used to see whether  the given ratios or fractions are equal or not . The proportion formula can be given as, The product of means is equal to the the product of extremes. This can be written as ad = bc.

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Volleyball practice is h hours long. Debbie had 3 volleyball practices last week. Choose the expression that shows the number of hours of practice.

Answers

The number of hours of practice is 3 x h or 3h.

What is the number of hours of practice?

In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.

Given:

Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.

Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.

The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.

Number of hours of practice

= hours of practice x number of practice

= 3 x h

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Find the measure of the exterior angle with 24 degrees
(3x+6) and (2x+18)

Answers

The measure of the exterior angle of the triangle is 114 degrees.

How to find the angles of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The measure of the exterior angle of the triangle can be found using exterior angle theorem.

Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Hence,

24 + 2x + 18 = 3x + 6

2x - 3x = 6 - 18 - 24

-x = -36

divide both sides of the equation by -1

x = 36

Hence,

exterior angle = 3x + 6 = 3(36) + 6 = 108 + 6 = 114 degrees

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For the 1996 General Social Survey, conducted by the National Opinion Research Center NORC, 842 replied "yes" and 982 replied "no. " Let π denote the population proportion who would reply "yes. " Find the P-value for testing H0 : π = 0. 5 using the score test, and construct a 95% confidence interval for π. Interpret the results

Answers

At a significance level of 0.05, the sample data is not consistent with the null hypothesis that the proportion of population who would respond "yes" is 0.5. The P-value of 0.0005 is less than 0.05, and also the sample proportion 0.4616 is not in the interval (0.477, 0.523) which we found as 95% Confidence interval.

Therefore, we reject the null hypothesis and conclude that the population proportion of "yes" responses is different from 0.5.

The P-value for a score test for H0: π = 0.5 can be found using the z-score and a standard normal table. The z-score is calculated as

[tex]z = \frac{x-0.5}{0.5\sqrt{\frac{x-0.5}{n} } }[/tex], that is

z = (x - 0.5) / (√(0.5(1 - 0.5) / n)

where x is the sample proportion of "yes" responses (842 / (842 + 982) = 0.4616), π is the population proportion of "yes" responses, and n is the sample size (842 + 982 = 1824).

[tex]z = \frac{0.4616-0.5}{0.5\sqrt{\frac{0.4616-0.5}{1824} } }[/tex]

= (0.4616 - 0.5)/ (√(0.5(1 - 0.5) / 1824)

This gives a z-score of -3.28.

To find the P-value, we can use the standard normal table to find the probability of observing a z-score less than -3.28. This P-value is approximately 0.0005, which is less than the commonly used significance level of 0.05. Therefore, we would reject the null hypothesis that π = 0.5.

To construct a 95% confidence interval for π, we can use the formula for a normal approximation interval:

π ± z×(√(π(1-π) / n)) that is

[tex]\pi \frac{+}{} z\frac{\pi (1 -\pi )}{n}[/tex]

Where π = 0.5, z = 1.96 (for a 95% confidence level), and n = 1824.

This gives a 95% confidence interval of (0.477, 0.523)

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The vertices of a convex pentagon are $(-1, -1), (-3, 4), (1, 7), (6, 5)$ and $(3, -1)$. What is the area of the pentagon

Answers

On solving the provided question, we can say that vertices of pentagon are (-1, -1), (-3, 4), (1, 7), (6, 5) and (3, -1); Area = 30 sq unit

what is a pentagon?

A pentagon is a polygon with five sides that is used in geometry. The inner angles of a straightforward pentagon add up to 540°. Simple or self-intersecting pentagons are both possible. A pentagram is a self-intersecting regular pentagon. Five angles and all sides of a regular pentagon are equal. It is referred to as an irregular pentagon if the side lengths and angle measurements do not match. All outside angles, as far as we are aware, balance out inside angles. The polygon's exterior angle total is therefore equal to n(360°/n). There are five sides to a pentagon, therefore n must equal five. Consequently, 5(360°/5) = 360° is the sum of the pentagon's outer angles.

vertices of a convex pentagon are (-1, -1), (-3, 4), (1, 7), (6, 5) and (3, -1).

Area = 1/2 [ 24+3+15+0-3] - [3-30-3+9-0]

Area = 1/2| 60 |

Area of pentagon  = 30 sq unit

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URGENT!! 25 POINTS!!!!!

What is the equation shown
by the following graph?

Answers

Answer:

denominator - 6234 is math

Step-by-step explanation:

Rewrite 21/3 as a whole number

Answers

Answer:

7

Step-by-step explanation:

As we want to find the whole number, and to do so we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

21/3 = 7

Which ratio forms a probation with 18/30
=20/35
=50/90
=36/46
=60/100

Answers

Answer:

Which ratio forms a probation with 18/30

=20/35

=50/90

=36/46

=60/100

Step-by-step explanation:

The average scores on Mrs. Wilson's test and Mr. Lewandowski's test were normally distributed on the last Algebra 2 test they gave. The average in my class Mrs. Wilson's class, was 86 with a standard deviation of 2. The average in my friend's class, Mr. Lewandowski's class was an 82 with a standard deviation of 2. If I made an 88 on the test and my friend made an 85 on their test, who had the better score relative to the rest of their class?

Answers

You had a better score relative to the rest of your class.

To compare the scores of you and your friend relative to the rest of their classes, we need to calculate the standard deviation of your score and your friend's score from the average of their respective classes.

A standard deviation of 2 means that 68% of the scores in the class fall within 1 standard deviation of the mean, or between 84 and 88 in the case of Mrs. Wilson's class. Since 88 is greater than 86 (the mean) and less than 2 standard deviations away (88-86 < 2*2=4) , so your score of 88 is better than the average score in your class.

On the other hand, 85 is less than 82 (the mean) and more than 1 standard deviation away (85-82 > 2) so your friend's score of 85 is less than the average score in their class.

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solve please im gonna fail

Answers

Answer:

The two little blue boxes are going

Step-by-step explanation:

Lets start with the 0s.

Two zeros is 0. so its

_ _ _ _ 0.

Now we add 2 and 0 which is 2.

_ _ _ 2 0

now we add 6 and 4, which is 10. We have to put the 1 above the 7 and 5 and we are going to put 0 down below

_ _ 0 2 0

now we are going to add 7 +5, but dont forget the 1! Its going to be 13. Put the 3 down below and put the 1 above the 2!

_ 3 0 2 0

Now its 2 + 1 which is 3

your answer is

33020

For a hypothesis test of H0: p = 0. 65 against the alternative Ha: p < 0. 65, the z test statistic is found to be -2. 35. What can be said about his finding?

Answers

The finding is significant at both α = 0.05 and α = 0.01.

What is hypothesis ?

A hypothesis (plural: hypotheses), in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Have given ,

H0: p = 0. 65 ,  Ha: p < 0. 65 and  the z test statistic is found to be -2. 35.

From the test statistic value, we can obtain the p value of the test ,

To determine if the claim is significant at both α = 0.05 and α = 0.01

We compare the Z statistic and Z critical values

If Z statistic < Z critical ; then we reject H0; if otherwise, we fail to reject H0

Z critical at 95% one tailed = - 1.645 (left tail)

Z critical at 95% one tailed = -2.326 (left tail)

- 2.35 < - 1.645

-2. 35 < 2.326

Since, Z statistic < Z critical;

The finding is significant at both α = 0.05 and α = 0.01.

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A new disease has been observed, and experts believe that 1% of the population have it. A test is developed that has 95% true positive rate (it identifies 95% of people with the disease as "positive") and 1% false positive rate (it misidenfies 1% of people without the disease as "positive"). If Alice tests positive and the experts are right on the population prevalence, what is the probability that Alice has the disease (up to 2 decimal places)?

Answers

If Alice tests positive and the experts are right on the population prevalence, the probability that Alice has the disease is 0.489.

In the given question, a new disease has been observed, and experts believe that 1% of the population have it.

A test is developed that has 95% true positive rate and 1% false positive rate.

From the given data,

Let E be the event that a patient has a disease and F be the event that a patient has tested positive.

Then according to Bayes' theorem we have,

P(E/F) = P(E)P(E/F)}/(P(E)P(E/F)+P(E')P(F/E')

P(E/F) = (1*95)/(1*95)*(99*1)

P(E/F) = 95/194

P(E/F) = 0.489 (approx.)

Hence, the probability that Alice has the disease 0.489.

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Find the volume of the following figure.

(I need a answer to this very soon so if anybody can answer id really appreciate it :))

Answers

The volume of the prism is 103.32 cubic inches (optionD)

What is the volume of a prism?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

The base area of the prism = 4.1×7.2 = 29.52 inches squared.

The height of the prism is 3.5 inches

Therefore volume = base area × height

volume = 29.52× 3.5 = 103.32 cubic inches.

Therefore the volume of the shape is 103.32 cubic inches.

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Which of the following are possible examples of sampling distributions? (Select all that apply.) O all mean trout lengths in a sampled lake O mean trout lengths based on samples of size 5 O heights of college students at a sampled university O average SAT score of a sample of high school students
O average male height based on samples of size 30 X

Answers

The potential instances of sample distribution are options C and E.

Option E. Average male height based on samples of size 30.

Option C. Mean trout lengths based on samples of size 5.

The sampling distribution of the mean is the distribution of the variable x (all feasible sample means of size n) for a variable x and a given sample size n.

The mean is the most typical kind of sample distribution. Plotting the data points and computing the means of each sample group drawn from the population are its main goals.

This idea, which is a form of the probability distribution, is frequently used to gather precise data from a sizable population that is divided into a number of randomly chosen samples. This idea is further divided into three categories: T-Sampling, proportional sampling, and the sampling distribution of the mean.

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The correct questions should be like this:

Which of the following are possible examples of sampling distributions? (Select all that apply.) average SAT score of a sample of high school students

all mean trout lengths in a sampled lake

mean trout lengths based on samples of size 5

heights of college students at a sampled university

average male height based on samples of size 30

What is the Pythagorean triplet of 16?

Answers

The Pythagorean triplet of 16 is (8, 15, 17).

This can be calculated using the Pythagorean theorem, which states that in any right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse. Therefore, given a number, we can find a Pythagorean triplet by calculating the squares of the two legs and then finding the hypotenuse.

Formula:

a² + b² = c²

Find the square of the number.

16² = 256

Subtract the square from the number to get one leg of the triangle.

16 - 256 = -240

Take the square root of the result.

√(-240) = 8

Add the square to the number to get the other leg of the triangle.

256 + 16 = 272

Take the square root of the result.

√(272) = 15

Add the two legs together to get the hypotenuse.

8 + 15 = 23

Take the square of the result.

23² = 529

Subtract the sum of the two legs from the hypotenuse.

529 - 23 = 506

Take the square root of the result.

√(506) = 17

Therefore, the Pythagorean triplet of 16 is (8, 15, 17).

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Trey and three of his friends are ordering a pizza. They plan to split the cost, and the want to spend at most $3.50 per person. Write and solve an inequality to find the cost of the pizza they should order.​

Answers

The inequality to find the cost of the pizza they should order is c ≤ 14. The cost is at most $14.

How to express the inequality?

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Since Trey and three of his friends are ordering a pizza and they want to spend at most $3.50 per person. An inequality to find the cost of the pizza they can order is:

c ≤ (3.50 × 4)

c ≤ 14

The cost will be at most $14.

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Theater tickets sold for $7.50 on
the main floor and $, in the
balcony. The total revenue was
$3250, and there were 100 more
main-floor tickets sold than
balcony tickets. Find the number
of each type of ticket sold.
(in Substitution method)
Cant figure the work out :/

Answers

Let x = number of main floor tickets sold
Let y = number of balcony tickets sold

x + y = total tickets sold
7.50x + 5y = total revenue

x + y = 250
7.50x + 5y = 3250

Substitute x + y = 250 into 7.50x + 5y = 3250
7.50(250) + 5y = 3250
1875 + 5y = 3250

Subtract 1875 from both sides
5y = 1375

Divide both sides by 5
y = 275

Substitute y = 275 into x + y = 250
x + 275 = 250
x = -25

Since x cannot be negative, the equation is not valid. Therefore, the number of tickets sold cannot be determined.

Hope this helped!!! :)

Find the measurement indicated in each parallelogram.

Answers

Therefore , the solution of the given problem of parallelogram comes out to be option D 80  degrees.

Define parallelogram.

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Here,

Given : The parallelogram  has M angle  =100 degree

And to Find :L angle

In a parallelogram sum of the adjacent angle is 180°, So

So ,

Using this parallelogram property ,

we find :

=>100 + L =180

=> L = 80

Thus,

We get the L value using parallelogram properties.

Therefore , the solution of the given problem of parallelogram comes out to be option D 80  degrees.

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Please help
Solve the rational equation: 1/x+1 - 1/x+2 = 1/5
A. There is no solution.
B. x = −0.64, x = 1.44
C. x = −3.79, x = 0.79
D. x = −1, x = −2

Answers

The solution for the rational equation (1/(x + 1)) - (1/(x + 2)) = 1/5 is specified by the option C.

C. x = -3.79, x = 0.79

What is a rational equation?

A rational equation consists of a fraction that has a polynomial numerator denominator.

The specified equation can be expressed as follows;

[tex]\dfrac{1}{x + 1} - \dfrac{1}{x+2} = \dfrac{1}{5}[/tex]

Finding the common denominator for the right hand side expression, we get;

[tex]\dfrac{ (x + 2) - (x + 1)}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]

[tex]\dfrac{1}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]

[tex]\dfrac{1}{x^2+ 3\cdot x+ 2} = \dfrac{1}{5}[/tex]

Inverting both sides of the above equation, we get the following quadratic equation;

x² + 3·x + 2 = 5

x² + 3·x + 2 - 5 = 0

x² + 3·x - 3 = 0

The quadratic formula indicates that we get;

x = (-3 ± √(3² - 4×1×(-3))) ÷ (2 × 1)

x = (-3 + √(21)) ÷ 2 and x = (-3 - √(21)) ÷ 2

x ≈ 0.79 and x ≈ -3.79

The correct option is option C

C. x = -3.79, x = 0.79

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HELP LIMITED TIME PLEASE HELP ASAP!!! THE PROBLEM I PUT IN PICTURES!

Answers

Answer is table 4

Step by step

Y1 is y = 4x -9
Y2 is y = 2x - 5

Our coordinates are (2,-1)

To find if the solution is true for each table, plug the solution in for y1 and y2

Table 1

Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -13 = 2(-1) -5 = -7 ❌ stop no solution

Table 2

Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -7 = 2(-1) - 5 = -7 ✅

Y1 is -9 = 4(0) -9 = -9 ✅
Y2 is -5 = 2(0) - 5 = -5 ✅

Y1 is -5 = 4(1) -9 = -5 ✅
Y2 is -3 = 2(1) - 5 = -3 ✅

Y1 is 3 = 4(2) - 9 = ❌
Y2 is 1 = 2(2) - 5 = ❌ stop no solution

Table 3

Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -7 = 2(-1) - 5 = -7 ✅

Y1 is -9 = 4(0) -9 = -9 ✅
Y2 is -5 = 2(0) - 5 = -5 ✅

Y1 is -5 = 4(1) -9 = -5 ✅
Y2 is -3 = 2(1) - 5 = -3 ✅

Y1 is 1 = 4(2) -9 = -1 ❌
Y2 is 1 = 2(2) - 5 = -1 ❌ stop no solution

Table 4

Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -7 = 2(-1) - 5 = -7 ✅

Y1 is -9 = 4(0) -9 = -9 ✅
Y2 is -5 = 2(0) - 5 = -5 ✅

Y1 is -5 = 4(1) -9 = -5 ✅
Y2 is -3 = 2(1) - 5 = -3 ✅

Y1 is -1 = 4(2) -9 = -1 ✅
Y2 is -1 = 2(2) - 5 = -1 ✅

Y1 is 3 = 4(3) -9 = 3 ✅
Y2 is 1 = 2(3) - 5 = 1 ✅

This table #4 has all solutions correct

Write four different expressions for the perimeter of a square whose sides are all s 2 2 units long.

Answers

Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both.

What are expressions in maths?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You may think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

For a square whose side are 2 units long is :

= 2 + 2 x 2 + 2

= ( 2 + 2 ) x 2

= 2 x 4

= 2 x 3 + 2 = 8

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Share $60S in the ratio 4:5:7:

Answers

Answer:

15:18.75:26.25

Step-by-step explanation:

4:5:7

Total=16

60/16 = 3.75

4 x 3.75 = 15

5 x 3.75 = 18.75

7 x 3.75 = 26.25

15:18.75:26.25

Answer: $15 : $18.75 : $26.25

Step-by-step explanation:

4 + 5 + 7 = 16

4/16 × $60 = $15

5/16 × $60 = $18.75

7/16 × $60 = $26.25

What is the range of the function y = startroot x 5 endroot? y greater-than-or-equal-to negative 5 y greater-than-or-equal-to 0 y greater-than-or-equal-to startroot 5 endroot

Answers

The range of the function y = √(x +5)  is y ≥ 0

What is the range of the function?

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have

y = √(x +5)

Remember that the radicand of the function must be greater than or equal to zero

so (x +5) ≥ 0

solve for x

x ≥ -5

The domain is the interval ----> [-5,∞)

For x= -5

y = √(-5 +5) = 0

so

The range is the interval ----> [0,∞)

y ≥ 0

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Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.
What are the odds in favor of Adam seeing a meteor in the next 10 minutes?

Answers

Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:

Odds in favor = probability of event occurring / (1 - probability of event occurring)

In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:

Odds in favor = 0.56 / (1 - 0.56)

= 0.56 / 0.44

= 1.27

So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.

It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.

Step-by-step explanation:

The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11

Item 48 A couple has 5 children, all sons. If the woman gives birth to a sixth child, what is the probability that the sixth child will be a son

Answers

The probability that the sixth child will be a son is 50%. Each child, regardless of gender, has an equal chance of being born.

What is the probability that the sixth child will be a son?The probability of having a son as the sixth child can be calculated using the binomial formula. The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial.In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated as follows:

P(son) = (5 choose 6) x (0.5^6) = 0.015625

The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial. In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).

Therefore, the probability of having a son as the sixth child can be calculated using the binomial formula as follows: P(son) = (5 choose 6) x (0.5^6) = 0.015625.

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n 2010, the population of a small town in Alabama was 8,250 people. By 2015, the population had decreased by 10%. From 2015, to 2020, the population then increased by 15%. What was the population of the town in 2020

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The population of a city is increasing at a rate of 4% each year. In 2020, there were. 236,000 people in the city.

What is population?A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study. Thus, any selection of individuals grouped by a common feature can be said to be a population.A sample may also refer to a statistically significant portion of a population, not an entire population. For this reason, a statistical analysis of a sample must report the approximate standard deviation, or standard error, of its results from the entire population. Only an analysis of an entire population would have no standard error.

Given, In 2015, the population of the town decreased by 10%, so [tex]8250 x 10/100 = 825[/tex]  people left the town, bringing the population down to [tex]8250 - 825 = 7425.[/tex]

From 2015 to 2020, the population increased by 15% so [tex]7425 x 15/100 = 1113.75[/tex] people came back to the town, bringing the population to [tex]7425+1113.75 = 8538.75[/tex]

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