The crew on a fishing boat caught four fish that weighed a total of 1,080 pounds. The
tarpon weighed twice as much as the amberjack
and the white marlin weighed twice
as much as the tarpon. The weight of the tuna was 5 times the weight of the
amberjack
How much did each fish weigh?
The amberjack weighed
pounds.
The tarpon weighed
pounds.
The marlin weighed
pounds.
The tuna weighed
pounds.
Kk

Answer:

31

Step-by-step explanation:

you do 6×3=18 then you do 18+7=25  last 25+17=42 then you add 2

Answer:

i dont know what ur saying but square would me x2 or somthing like that.

Answer:

D. The z scores are numbers without units of measurement.

Step-by-step explanation:

Z-scores are without units, or are pure numbers.

Answer:

they will get there at the same time

Answer:

Neil

Step-by-step explanation:

If Neil lives farther away from the school than Spencer but can get there in the same amount of time, Niel is a faster biker than Spencer. So if they are going the same distance, Niel will get there faster.

Answer: y=-3x-4

Step-by-step explanation:

Since we know slope, we can plug it into slope-intercept form to find the y-intercept by using the given points,

y=-3x+b

8=-3(-4)+b

8=12+b

b=-4

Now that we know the y-intercept, we can complete the slope-intercept form.

y=-3x-4

Answer:

tell me the problem

Answer:

x=74

Step-by-step explanation:

Solve big triangle first 33+45= 78

78+28= 106

Based on the information, we can infer that the theoretical probability of these colors would be 33.33%. However, the table reflects different data.

To calculate the theoretical probability of each color we must perform the following mathematical operation.

Bearing in mind that 300 is 100% of the people, we must divide 300 by 3 to know how many people should choose a specific color. In this case, every 100 people should choose a different color.

Additionally, these 100% would represent 33.33% of the total population.

100 * 100 / 300 = 33.33%

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The value of f(x) is a 4 at x = -4

and the value of f(4) = -2

let f(x) = y

since f(x) = 4, y = 4

we find the value of x when y is 4

We trace the x and y axis:

When y =4, x = -4

The value of f(4) means x would be replaced by 4

So we check on the graph for the value of f(4) or the value of y when x = 4

At x =4, y = -2

The value of f(x) is a 4 at x = -4

and the value of f(4) = -2

The additional tax (liability) that Lynn owes after her employer withheld $3,150 from her pay is D. $399.

Tax liability refers to the amount that a taxpayer owes.

We can determine the tax liability as the difference between the total tax and the employer-withheld tax.

The total tax is computed by applying the rate to the taxable income, which is the difference between the total income and the total deductions.

Lynn's total income last year = $38,900

Total deductions = $11,450

Employer withheld taxes = $3,150

Taxable income = $27,450 ($38,900 - $11,450)

From the tax table, when taxable income is at least $27,450 but less than $27,500, the total tax is $3,549, based on being a head of household.

The tax liability = $399 ($3,549 - $3,150)

Thus, Lynn is expected to remit an additional $399 to settle her tax liability.

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Answer:

Net price = $385.28

Step-by-step explanation:

Trade Discount - It is the discount given by buyer to seller, as a reduction in list price, when huge (bulk) orders transactions are made.

List price = 481.60

Trade Discount = 20%

So, Trade Discount = 20 / 100 (481.60) = 96.32

Net price = List price - Trade Discount = 481.60 - 96.32 = 385.28

Answer:

5 is a co efficient and b is a variable together is a term, 3.79 is a constant/term the whole equation is an expression.

The total cost of buying 5 bagels and a container of cream cheese is $28.79 and in the expression 5 is constant, b is variable, and 3.79 is constant representing the cost of the container.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

Given the expression for the total cost,

C = 5b + 3.79 where b is the number of bagels.

Cost of 5 bangles →

C = 5(5) + 3.79 =$ 28.79

Cost of container = $3.79

Thus b is the only variable and 5b represents the cost of bagels while by the sum of container cost 3.79 total costs are created.

Hence "The total cost is $28.39 and container cost is $3.79 while b is variable".

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An irrational number is a number that cannot be expressed as a fraction or a ratio of two integers. Let's examine each option:

1. The number pi: Pi (π) is an irrational number. It is a mathematical constant representing the ratio of a circle's circumference to its diameter. Pi cannot be expressed as a fraction or a terminating decimal. It is an infinite, non-repeating decimal (approximately 3.14159...).

2. A whole number: Whole numbers are integers without any fractional or decimal parts. They include positive numbers (0, 1, 2, 3, ...) and their negatives (-1, -2, -3, ...). Whole numbers can always be expressed as fractions by setting the denominator as 1, making them rational numbers.

3. Fractions: Fractions are numbers expressed as the ratio of two integers. They can be written in the form a/b, where a and b are integers and b is not zero. All fractions are rational numbers because they can be expressed as the division of two integers.

4. A decimal that terminates: A terminating decimal is a decimal number that has a finite number of digits after the decimal point. Terminating decimals can always be expressed as fractions, making them rational numbers. For example, 0.25 can be written as 1/4.

Based on the explanations above, the only option that represents an irrational number is "The number pi."

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The equation written in slope-intercept form is y = (1/3)x -9

A linear equation is that which can be represented in the form of y =mx +c , m is the slope and c is the intercept.

The given equation is

y+6 = 1/3(x-9)

To determine the slope and the intercept this equation needs to be solved

y+6 = (1/3)x - 3

y = (1/3)x -9

Therefore this is the slope intercept format , here

the slope = 1/3

intercept = -9

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Rigid motions are, exclusively, rotations, reflections, and translations. If you can move one polygon onto the other by using only those motions, they are congruent. One pentagon can, for example, be translated onto another pentagon, making them congruent. If, after being translated, point A is on point F and B on G and C on H and D on I and E on J, the congruence statement is: \( ABCDE\cong FGHIJ.\)

Answers

a)2x+8

2(x+4)

b)3x-12

3(x-4)

c)6x+4

2(3x+2)

d)18x-9

9(2x-1)

The chart that could be used to display the data is given as follows:

Box plot; because the data is numerical.

A data-set can be classified as either numerical or categorical, depending on the values assumed by the data, as follows:

The correct charts for each type of data are given as follows:

The grade point average assumes numeric values, hence it is a numeric data and should be shown on a box plot, meaning that the last option is correct.

The box plot will show the number of grades in each range of the grade point averages, for example, how many grades between 0 and 1, how many between 1 and 2, and so on.

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We will assume simple interest.

The formula is:

Where

i is the interest amount

P is amount invested (initial amount)

r is rate of interest per year, in decimal

t is time in years

SEI Large Cap Index Fund

He wants to invest certain amount (P) at 16% (16/100=0.16, r = 0.16) for 1 year (t = 1). The interest should be 1840 (for total)

We can write:

Artisan Internationl Fund

Invest 3 times as SEi. So, initial = 3P. Interest 10% means 10/100 = 0.1

Time 1 year (t = 1). We can write:

Both of these interest expressions sum to an interst of $1840. Thus, we can write:

Now, we can solve for P:

The person has to invest:

$4000 in SEI Large Cap Index, and

$12,000 in Artisan International

The solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,

x = \(\sqrt{13}\) , -  \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .

Given equations ,

\(x^{2}\) + 81 = 0  ,\(x^{2}\)-22 = -26 , 3\(x^{2}\)-18=21 ,2\(x^{2}\) +15 = -13

What is Quadratic equation ?

quadratic equation can be defined as the equation which is in the form of a\(x^{2}\)+bx + c = 0 .

where a,b,c are constants .

By solving we get ,

\(x^{2}\) +81 = 0

\(x^{2}\) = -81

x = 9i , -9i

\(x^{2}\) - 22 = -26

\(x^{2}\) = -26 + 22

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

x = 2i,-2i

3\(x^{2}\) - 18 = 21

3\(x^{2}\) = 18+21

3\(x^{2}\) = 39

\(x^{2}\) = 13

x = \(\sqrt{13}\) , -  \(\sqrt{13}\)

2\(x^{2}\) +15 = -13

2\(x^{2}\)  = -13-15

2\(x^{2}\)  = -28

\(x^{2}\)  = -14

x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i

Hence the solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,

x = \(\sqrt{13}\) , -  \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .

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Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

The option II "The interval is narrower than a 98% confidence interval would be" and III "95% of all samples would show mean commercial length between 23 and 27 seconds" is the true about the question. So the option d is correct.

If all possible samples are taken and confidence intervals are calculated, 95% of them will include the true population mean somewhere within their range.

Because of the large margin of error, a 98 percent confidence interval would be wider than a 95 percent confidence interval. So, here we are. The confidence interval is narrower than a 98% confidence interval.

Furthermore, 95% of all samples would have a mean commercial length of 23 to 27 seconds. As a result, the correct answer is II and III (d).

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The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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The probability that at least 80 rolls are necessary is 0.9418

Rolling the dice once

Mean \(= \sum^{6}_{i=1} x_i p_i\)

\(x_i = \text{Possible outcome } (1,2,3,4,5,6)\)\(\therefore \text{Mean } = \frac{1}{6} (1+2+3+4+5+6) = 21/6 = 3.5\)

\(\text{Variance} (x_i) = \sum^{6}_{i=1} (x_i-x)^2 . p_i\)

\(= \frac{1}{6} [(1-\frac{7}{2})^2 + (2-\frac{7}{2})^2 + (3-\frac{7}{2})^2 + (4-\frac{7}{2})^2 + (5-\frac{7}{2})^2 + (6-\frac{7}{2})^2]\)

\(= \frac{35}{12}\)

As per question, if the die is rolled 80 times. Then,

\(\text{Mean } = 80 \times \frac{7}{2} = 280\)

\(\text{Variance } = 80 \times 35/12 = 233.33\)

\(\text{Standard Deviation} = \sqrt{233.33} = 15.275\)

As per central limit theorem, the distribution can be approximated as Normal Distribution.

\(\therefore N \sim (276.5, 233.33)\)

Now by using the conitnuity correction.

\(P(\text{sum} > 300) = P \left(Z < \frac{300.5-278.5}{15.275} \right)\)

\(= P(Z < 1.5712)\)

From Standard Normal Distribution Chart.

\(P(Z < 1.5712) = 0.9418\)

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The given function is continuous at  x = 3,  RHL = LHL = F(2)

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  =  (x²-9)/(x² - x -6)(x² + 6x +9)

To check whether it is continuous at x = 2

First taking LHL,

\(\lim_{h \to \ 0}\)  ((2-h)²-9)/((2-h)² - (2-h) -6)((2-h)² + 6(2-h) +9)

⇒  -5/(-4x25)

⇒   1/20

Now, taking RHL

\(\lim_{h \to \ 0}\)  ((2+h)²-9)/((2+h)² - (2+h) -6)((2+h)² + 6(2+h) +9)

⇒  -5/(-4x25)

⇒   1/20

The value at x = 3

F(3)  =   ((2)²-9)/((2)² - (2) -6)((2)² + 6(2) +9)

       =  -5/(-4x25)

       =   1/20

Hence Proved,   RHL = LHL = F(2)

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Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.

A microscope dilates a specific specimen four times larger. A microscope, a projector, a model boat, or a model of a city. All of these use dilation..

_______________________________

And your question is which one is it? Well it's all of the above.

\(\color{red}{\tt{Hope \ It \ Helps}} \)

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

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