Gordo is a fisherman. Darrin claims that Gordo over-estimates the size of his fish by 25%.
Gordo describes one fish as 40 cm long. What does Darrin claim is the length of Gordo’s
fish?

Answer:

The area of the circle is 30.25π cm^2.

Step-by-step explanation:

The circumference of a circle is equal to the diameter of the circle times π. Therefore, if the circumference of the circle is 11π cm, the diameter must be 11 cm.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle. The radius of the circle is half the diameter, so the radius is (1/2) * 11 cm = 5.5 cm.

Substituting this value for r into the formula for the area of a circle, we get:

A = π * (5.5 cm)^2

= π * 30.25 cm^2

= 30.25π cm^2

Therefore, the area of the circle is 30.25π cm^2.

The probability of rolling an even number in at least one of the throws is 31/32 or approximately 0.969.

The probability of not rolling an even number in a single throw is 1/2, since there are three odd numbers and three even numbers on the die. Therefore, the probability of not rolling an even number in five independent throws is (1/2)^5 = 1/32.

The probability of rolling an even number in at least one of the throws is the complement of the probability of not rolling an even number in any of the five throws. So:

P(rolling an even number in at least one of the throws) = 1 - P(not rolling an even number in any of the five throws)

= 1 - (1/32)

= 31/32

Therefore, the probability of rolling an even number in at least one of the throws is 31/32 or approximately 0.969.

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Answer:

the answer is 107.4

More info

20 percent off

You will pay $71.4 for a item with original price of $89.25 when discounted 20%. In this example, if you buy an item at $89.25 with 20% discount, you will pay 89.25 - 17.85 = 71.4 dollars.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5.5 = AB

Step-by-step explanation:

take 62 degree as reference angle

using cos rule

cos 62 = adjacent / hypotenuse

0.46 = AB / 12

0.46*12 = AB

5.52 = AB

5.5 = AB

The length of side AB in the given right angle triangle of hypotenuse  12 cm is  5.7 cm.

A triangle with one angle at \(90^o\) is called right angle triangle.

Given that:

Hypotenuse = 12 cm

\(\theta = 62^o\)

The length of side AB in the given right angle triangle is calculated as:

Using trigonometric function,

\(\cos\theta = \dfrac{base}{hypotenuse}\)

Let, the value of base be x

Substitute the values in the given formula:

\(\cos 62^o = \dfrac{x}{12}\)

Using the trigonometric table, the value of \(\cos 62^o\) is 0.4694

\(0.4694 \times 12\)= x

x= 5.6328

x = 5.7

Thus, the length of side AB to 1 decimal place is 5.7 cm

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Step-by-step explanation:

first and second correct answers

The amplitude of the function f(x) = sin(5x) is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = sin(5x)

A sinusoidal function is represented as

f(x) = Asin(B(x + C)) + D

Where

Amplitude = A

Period = 2π/B

So, we have

A = 1

Period = 2π/5

Evaluate

A = 1

Period = 2π/5

Hence, the amplitude is 1

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Answer:

A. 3m² + 4m + 1 = 0

3m² + 3m + m + 1 = 0

3m (m + 1) + 1 (m + 1) = 0

( 3m + 1 ) (m + 1) = 0

B. 16n - 25

16n = 25

n = 25/16

Answer:it is 16%

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Answer:

33 square meters per hour

Step-by-step explanation:

Answer:

The population is 11179

Step-by-step explanation:

We can use the compound interest formula but a modified type here.

Mathematically the population in the year 2025 will be;

P = I(1+r)^t

where p is the population by 2025

I is the initial population in 2018 which is 975

r is the percentage increase or decrease = 2.75% = 2.75/100 = 0.0275

t is the difference in years which is 2025-2018 = 7

Plugging these values we have;

P = 975(1+ 0.0275)^7

P =975(1.0275)^7

P = 1,178.9

which is 1179 to nearest whole number

A two-sample t-test should be used to compare the mean waiting times of the two hospitals.

A two-sample t-test is a statistical test used to compare the means of two independent groups.

It is used to determine whether there is a significant difference between the means of the two groups, based on the assumption that the data is normally distributed and that the variances of the two groups are equal.

The test calculates a t-statistic, which is compared to a critical value based on the degrees of freedom and the desired level of significance to determine if the difference between the means is statistically significant.

Here we want to know if the eibmoz hospital or the eripmav hospital had the shortest er waiting time.

we pick 40 random days, and times each er on those days.

To compare the mean waiting times of two different hospitals, you can use a two-sample t-test.

In this case, you would collect data on the waiting times at both the Eibmoz and Eripmav hospitals on the same 40 random days and calculate the sample means and standard deviations for each hospital.

You would then use a two-sample t-test to determine if there is a statistically significant difference between the mean waiting times at the two hospitals.

Hence,

A two-sample t-test should be used to compare the mean waiting times of the two hospitals.

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Answer:

A

Step-by-step explanation:

A. 8(3+8x)

8 times 3 is 24. 8 times 8 is 64 making it 24+64x

Answer:

the 9 in the tenths place is 10 times more than the one in the hundredths place

Step-by-step explanation:

Given that

There is a number i.e. 3.9928

Here we need to compare the value of the 9 in the tenth place to the value of the 9 in the hundredth place

The 9 in the tenth place has a value of 0.9

And, The value of 9 in the hundredth place contains a value of 0.09

So,

= 0.09 ÷ 0.9

= 0.1

= 1 ÷ 10

Researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses. 

a. The wordings of the questions contain the word "destroyed" and "80 acres per minute," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.

b. The question contains the phrase "vanishing tropical forests," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.

c. The question is loaded with the phrase "man-made extinction of animal and plant species," hence, the respondents could lean more towards the idea of the need to prevent it. The question is likely to elicit responses directed toward prevention and preservation.

d. The question contains the phrase "changes in the earth’s atmosphere," which suggests a link between the destruction of tropical forests and changes in the earth’s atmosphere. The question is likely to elicit responses that lean towards agreeing with the statement made in the question. 

Therefore, researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses. 

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The margin error is given by:

n=200

Thus, we have:

The answer is c. Two.

When a researcher controls for gender, it means that the data is analyzed separately for each gender category. This approach allows the researcher to examine the relationship between variables while accounting for the potential differences between genders. By creating two separate groups based on gender (male and female), the researcher can analyze and compare the data within each group.

Therefore, controlling for gender will result in two partial tables, one for each gender category. Each partial table will contain the data specific to that gender, allowing for gender-specific analysis and comparisons. This approach enables the researcher to understand any variations or patterns that may exist within each gender group.

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The solution to the given trigonometric identity is: cos y

The problem we are given to solve is:

[(sec y - tan y)(sec y + tan y)]/(sec y)

Multiplying out the numerator gives us:

(sec²y - tan²y)/sec y

Dividing each term by sec y gives us:

sec y - ((tan²y)/sec y)

We know that tan y = sin y/cos y

Thus:

tan²y = (sin y/cos y)*(sin y/cos y)

1/cos y = sec y

Thus, we now have:

sec y - sin²y(sec y)

We can rewrite this as:

1/cos y - sin²y/cos y

= (1 - sin²y)/cos y

= cos²y/cos y

= cos y

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Answer:

\(8<\sqrt{66}<9\)

Step-by-step explanation:

\(64<66<81 \implies 8<\sqrt{66}<9\)

Answer:

Below

Step-by-step explanation:

Z score is the ± standard deviations from the mean

The probability of randomly selecting the chair and the ranking member is 1/105 or approximately 0.0095.

There are 15 members of the Senate Committee on Homeland Security and Governmental Affairs, two of whom are selected to serve as the committee chair and ranking member. Each member is equally likely to be chosen for either of these positions.

To begin, we must first determine the total number of ways two members can be selected from a committee of 15. This is calculated using the combination formula:

nCr = (n!)/((r!)(n-r)!)where n = 15 and r = 2.

Thus,

nC2 = (15!)/((2!)(15-2)!)

nC2 = (15x14)/(2x1)nC2

= 105

Now we must determine the probability of selecting one member to be the committee chair and the other to be the ranking member.

This is calculated as follows: P = 1/105 or approximately 0.0095. Hence, the probability of randomly selecting the chair and ranking member is 1/105 or approximately 0.0095.

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The "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values a predetermined percentage of the time.

Thus, the "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.

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Answer:

$600

Step-by-step explanation:

1,200 · 0.05 = 60

60 · 10 = 600

We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Therefore, to make the game fair, you should earn a profit of $3 when you win.

To determine the profit you should earn when you win in order for the game to be fair, we need to consider the overall expected value.

In this gambling game, you win 25% of the time and lose 75% of the time. Let's assume that when you win, you earn a profit of P dollars. When you lose, you lose $1.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Profit) + (Probability of Losing * Loss)

Since the game should be fair, the expected value should equal zero. Thus, we can set up the equation:

0 = (0.25 * P) + (0.75 * (-1))

Simplifying the equation:

0 = 0.25P - 0.75

0.75 = 0.25P

P = 0.75 / 0.25

P = 3

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Answer:

Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715