You want to estimate the probability that 15 or more flights out of 20 will be on-time at this airport. You simulate 20 flights 25 times and get the following numbers of on-time flights: 11 15 14 8 17 14 16 15 17 17 15 9 13 16 12 18 14 16 13 15 16 14 18 149 What is your estimate of the probability?

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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By using the probability we will find that we should hire 3 scuba divers to maximize the expected gain.

To find the number of scuba divers that should be hired to maximize the expected gain, we need to calculate the expected gain for each number of divers and choose the number with the highest expected gain.

Let X be the number of scuba divers hired, and let Y be the gain. Then the possible values of Y are $0 if the diver does not find the object, and $3000 if the diver finds the object. The probability of finding the object is 0.79, so the probability of not finding the object is 0.21.

The expected gain is then:

E(Y) = $3000 × 0.79 + $0 × 0.21 = $2370

The cost of hiring each diver is $700, so the net gain is:

Y - $700X

Therefore, the expected net gain is:

E(Y - $700X) = E(Y) - $700E(X)

= $2370 - $700X

To maximize the expected net gain, we take the derivative of this expression with respect to X and set it equal to zero:

d/dX (E(Y - $700X)) = - $700

Setting this equal to zero and solving for X gives:

$700X = $2370

X = 3.39

Rounding this to the nearest integer, we get 3.

Therefore, we should hire 3 scuba divers to maximize the expected gain.

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Answer:

b

Step-by-step explanation:

b

The constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is the linear equation as follows -

y = x/9

This is the equation of a straight line, which is -

y = mx + c

{m} is slope and is also called the constant of proportionality.

We can write -

y = (1/9)x + 0

So, the constant of proportionality is equivalent to (1/9).

Therefore, the constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

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Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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the digital sum of the numbers in the bracket with the maximum number of elements is 17 and 18. Therefore, the correct answer is (4) 18.

To find the digital sum of the numbers in the bracket that has the maximum number of elements, let's examine the pattern in the given sequence.

The numbers in each bracket are formed by taking one digit from the tens place and the other digit from the units place. The first bracket has the number 10, the second bracket has the numbers 11 and 20, the third bracket has the numbers 12, 21, and 30, and so on.

We can observe that for each bracket, the tens digit starts at one less than the bracket number, and the units digit starts at the same number. For example, in the third bracket, the tens digit starts at 1 (one less than the bracket number 3) and the units digit starts at 2 (same as the bracket number 3).

Now, let's consider the bracket with the maximum number of elements, which is the last bracket, (89, 98), (99).

The digital sum of each number in this bracket can be calculated by adding the tens digit and the units digit. For the numbers 89 and 98, the digital sum is 8 + 9 = 17. For the number 99, the digital sum is 9 + 9 = 18.

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Answer:

Explanation:

A function has each x input go to exactly one and only one y output. This means something like (3,7) and (3,6) leads to "not a function". The input x = 3 leads to multiple outputs.

So all we have to do is look at the x coordinates of the points. If we see any repeats, then the answer is "not a function". Otherwise, we have a function.

Answer:

1.not function

2. function

3.not function

4.function

Answer:

3

Step-by-step explanation:

They should by 3 because 7 people want 5 cookies so in total amount they need 35 cookies.

Each box has 12 cookies meaning if they buy 3 they get 36 cookies so they reach the total amount they need and they get 1 extra.

So answer is 3

                    ____

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Answer:

C

Step-by-step explanation:

this is the answer because both sides are parallel

when on a graph

Answer:

B. 15

Step-by-step explanation:

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.3" was replaced by "(113/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    b-((113/10))>0  

Step by step solution :

STEP

1

:

           113

Simplify   ———

           10  

Equation at the end of step

1

:

      113

 b -  ———  > 0  

      10  

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

         b     b • 10

    b =  —  =  ——————

         1       10  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • 10 - (113)     10b - 113

——————————————  =  —————————

      10              10    

Equation at the end of step

2

:

 10b - 113

 —————————  > 0  

    10    

STEP

3

:

3.1    Multiply both sides by  10  

3.2    Divide both sides by  10  

     b-(113/10)  > 0

Solve Basic Inequality :

3.3      Add  113/10  to both sides

            b > 113/10

Inequality Plot :

3.4      Inequality plot for

        b  - 11.300  >  0

One solution was found :

b > 113/10

Which number is a solution of the inequality?

b > 11.3

The answers are 15,9,-14, and 4

15

The average rate at which the water level changed every week is 5/6 inches.

It should be noted that a fraction is represented as a/b. In this case, a implies the numerator and b is the denominator.

In this case, the water level of a lake rose by 1 1/4 in. during a 1 1/2-week-long wet spell

The average rate at which the water level changed will be:

= The fraction at which it rose / Number of weeks

= 1 1/4 ÷ 1 1/2

= 5/4 ÷ 3/2

= 5/4 × 2/3

= 10/12

= 5/6

It rose at 5/6 inches every week.

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Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

അത് പോലും അറിയില്ല

എനിക്കും അറിയില്ല

just for a രസം

Answer:

by adding both the given angle we will get

78+69

Step-by-step explanation:

=141

Answer:

a. 26 ft

Step-by-step explanation:

When triangles are similar their sides are proportional

4/8 = h/(44+8)

1/2(52) = h

h = 26

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

33.6

Step-by-step explanation:

If you use your calculator, input 84 - 40%, then subtract the answer (50.4) from 84.

The counting numbers starts from 1.

The odd numbers are numbers that skipped the next counting number from 1.

That will be :

1, 3, 5, 7, 9, 11, 13, ...

The answer will be (odd counting numbers less than 11) :

{1, 3, 5, 7, 9}

Answer:

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

Step-by-step explanation:

From the graph

→ The point on the vertical axis (y-axis) represents

→ Which means it represents their height at 0 hour

→ The real-world meaning of that point is:

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

Answer: See explanation

Step-by-step explanation:

x=-(2-2*the square root of 6)/5, about 0.58

or

x=-(2+2*the square root of 6)/5, about -1.38

The values of the x from equation  \(5x^2+4x-4=0\) are  x = 0.5798 and -1.38.

Given that:

Equation:  \(5x^2+4x-4=0\)

To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:

\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)

Compare the equation with \(ax^2 + bx + c = 0\).

Here, a = 5, b = 4, and c = -4.

Plugging in the values to get,

\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)

So the solutions for x are calculates as:

Taking positive sign,

\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)

x = 5.798/10

x = 0.5798

Taking negative sign,

\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)

x = -13.798/10

x = -1.38

Hence, the exact solutions for the equation  \(5x^2 + 4x - 4 = 0\)  are x = 0.5798 and -1.38.

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3Answer:

7%, 1/12, 0.1, 2/9, 0.26, 1/3

Step-by-step explanation:

To solve this question, the first step is converting all numbers into decimals.

7% = 0.07

1/3 = 0.33

0.1

0.26

1/12 = 0.083

2/9 = 0.2222

Now we can sort them, from least to greatest, leaving us with:

7%, 1/12, 0.1, 2/9, 0.26, 1/3

Converting fractions to decimals

1/3

1/3 is one divided by three

1/12

This is one divided by 12.

Answer: I am assuming it’s of a circle? So the answer would be rounded to 11.

Step-by-step explanation:

The reference angle that has a sin value of 1/2 is π/6 radians or 30 degrees. Therefore, the value of θ is π/6 radians or 30 degrees.

Given that sin θ = 14/28, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 14. This yields sin θ = 1/2.

The value of sin θ equal to 1/2 corresponds to the angle θ being π/6 radians or 30 degrees in the first quadrant.

In general, the trigonometric function sin θ represents the ratio of the length of the side opposite the angle θ to the length of the hypotenuse in a right triangle. For sin θ to be positive, the angle θ must lie in the first or second quadrant. Since we are assuming θ to be an acute angle, it falls within the first quadrant.

In the first quadrant, the reference angle that has a sin value of 1/2 is π/6 radians or 30 degrees. Therefore, the value of θ is π/6 radians or 30 degrees.

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Answer:

Part A:

The simple interest formula is I = Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

In this case, P = $50,000, r = 0.0435, and t = 3.33 (3 years and 4 months, expressed in years).

So, I = 500000.04353.33 = $7,207.25

The total value of the loan is the principal plus the interest, so the total value is $50,000 + $7,207.25 = $57,207.25

Part B:

The formula for the total value of a loan with quarterly compounded interest is A = P*(1+r/n)^(nt), where A is the total value, P is the principal, r is the annual interest rate, n is the number of compounding periods per year, and t is the time in years.

In this case, P = $50,000, r = 0.0435, n = 4 (quarterly compounding), and t = 3.33.

So, A = 50000(1+0.0435/4)^(4*3.33) = $58,175.91

Part C:

The formula for the total value of a loan with continuous compounding is A = Pe^(rt), where A is the total value, P is the principal, r is the annual interest rate, and t is the time in years.

In this case, P = $50,000, r = 0.0435, and t = 3.33.

So, A = 50000e^(0.04353.33) = $58,286.94

Part D:

Comparing the total values from Parts A, B, and C, we see that the loan with continuously compounded interest has the highest total value at $58,286.94. Therefore, the best choice for the small business owner would be the loan with continuously compounded interest, as it results in the lowest total cost of borrowing

Step-by-step explanation:

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Answer:

$768

Step-by-step explanation:

8 x 12 = 96 m²

1 m² = $8.00

96m² x $8.00 = $768

Jordan was reading 26 pages more than jessica

Answer:

0.38m

Step-by-step explanation:

1 1/4 m= 1.25m

1.25-0.87m

=0.38m

Answer:

the snake grows 0.38m

Step-by-step explanation:

To find out how much the snake grows you need to find the differences between the length of the snake after and the length before, this means you do:

the grow = the length of the snake after - the length of the snake before

= \(1\frac{1}{4}\) - 0.87

= 1.25 - 0.87

= 0.38m

so the snake grows 0.38m

According to the information we can infer that the approximate area of the cross-section is 35.5 square meters. Additionally, the approximate volume of water flowing through the cross-section in 10 seconds is 142 cubic meters.

To calculate the approximate area of the cross-section using Simpson's rule, we divide the width of the river (12 meters) into intervals and consider the depth measurements at each interval. Given the depth measurements:

We use Simpson's rule to estimate the area by applying the formula:

Using the given depth measurements, we substitute them into the formula and calculate:

According to the information, the approximate area of the cross-section is 35.5 square meters.

To calculate the approximate volume of water flowing through the cross-section in 10 seconds, we multiply the area of the cross-section by the velocity of the river.

Given the velocity of the river is 0.4 meters per second, and the time is 10 seconds:

According to the information, the approximate volume of water flowing through the cross-section in 10 seconds is 142 cubic meters.

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