2 The weights of trout were randomly sampled from two different lakes. The data are

presented in the histograms.

Lake A

Lake B

Number of Trout

45155

2535

4550

Weight Igrams)

Answer:

Step-by-step explanation:

Answer:

0.133

Step-by-step explanation:

12+18=30 7$per square inch 4÷30=0.133

Step-by-step explanation:

.5 / 1.5    is  1/3       (1/3)^2  = 1/9

Answer: 0.09

Step-by-step explanation:

0.5 ÷ 1.5 = 0.3 0.3squared = 0.09

Keep in mind that if Lourdes is able to pay off her credit card balance at the end of the month, she won't be charged any interest, making the credit card the better option in that case.

To determine whether Lourdes should use a debit card or credit card, we need to consider the ATM fee and the potential interest charges from the credit card.

Step 1: Determine the ATM fee
Find out how much Lourdes would be charged for using the ATM to withdraw cash.

Step 2: Determine the interest rate on the credit card
Check the credit card's terms and conditions to find the annual percentage rate (APR). This will help us calculate the potential interest charges.

Step 3: Calculate the potential interest charges
Assuming Lourdes doesn't pay off the credit card balance by the end of the month, divide the APR by 12 to get the monthly interest rate. Multiply this rate by the $48 grocery cost to find the potential interest charges.

Step 4: Compare costs
Compare the ATM fee and potential interest charges to determine the cheaper option. If the ATM fee is less than the potential interest charges, Lourdes should use her debit card. If the potential interest charges are less than the ATM fee, she should use her credit card.

Keep in mind that if Lourdes is able to pay off her credit card balance at the end of the month, she won't be charged any interest, making the credit card the better option in that case.

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Your longitude in DMS is 135 degree. So the option D is correct.

This is because there are 12 hours left in the local time ( i.e. 12 hours noontime or mid-day).

As UT (or GMT) time is 9 p.m., there are 9 hours between GMT time and local time.

9 hours = 9 × 60 minutes = 540 minutes

Now, we know that:

Every four minutes, the Earth turns one degree.

Thus, 1-degree longitude difference = 4 minutes

Or, 4 minutes of time difference = 1 degree of longitude

Or, 1 minute of time difference = 1/4 degree of longitude

Or, 540 minutes of time difference = (1/4) × 540 degrees of longitude

540 minutes of time difference = 135 degrees of longitude

Also, we can infer that the current location is in the Western hemisphere because we know that it is 9 hours behind GMT (or UT) time.

Hence, the longitude of the current location = 135⁰

So the option 4 is correct.

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The complete question is:

Your chronometer is set for Greenwich Mean Time (GMT or Universal Tim, UT). High noon at your present location is 9 pm UT. What is your longitude in DMS (not decimal degrees)?

1. 30° 18'W

2. 30° 16'W

3. 30° 17'W

4. none of the above

According to the given information, the value(s) of x for which\($f(G(x)) = g(f(x))$\) is x = 1 or x = -2/3.

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

\(To find the inverse of $G(x)$:Replace $G(x)$ with $y$: $y = x - x^2 + 1$Solve for $x$: $x^2 - x + (1 - y) = 0$Apply the quadratic formula: $x = \frac{1 \pm \sqrt{1 - 4(1)(1-y)}}{2} = \frac{1 \pm \sqrt{-3 + 4y}}{2}$The inverse of $G(x)$ is therefore: $G^{-1}(x) = \frac{1 \pm \sqrt{-3 + 4x}}{2}$To find the value of $x$ for which $f(G(x)) = g(f(x))$:Start with $f(G(x))$: $f(G(x)) = f(x^2 - x + 2)$\)

\(Replace $f(x)$ with $3 - 2x$: $f(G(x)) = 3 - 2(x^2 - x + 2) = -2x^2 + 2x - 3$Replace $G(x)$ with $y$: $y = x^2 - x + 2$Replace $g(y)$ with $y - x^2 + 1$: $g(y) = y - x^2 + 1$Set $f(G(x))$ equal to $g(f(x))$ and solve for $x$:$-2x^2 + 2x - 3 = (3 - 2x) - x^2 + 1$Simplify and solve for $x$: $x = 1$ or $x = -\frac{2}{3}$\)

Therefore, according to the given information, the value(s) of x for which \($f(G(x)) = g(f(x))$\)is x = 1 or x = -2/3.

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441

Step-by-step explanation:

420-5%=399 so the diference is 21 so 21+420=441

Answer:

2

3,0

Step-by-step explanation:

Answer:

416 cm2

Step-by-step explanation:

The formula for surface area of prism.

2Ab+ Pb*h

2(1/2)(12)(8)+ 32*10

= 96+320

= 416 cm2

if my answer helps please mark as brainliest.

Answer:

Mar Apr May

Receipts $1,155 $1,250 $

Expenses $1,100 $990 $900

Net Cash Flow $55 $ $45

Cumulative Balance $ $315 $360

Answer:

The answer is B

Step-by-step explanation:

Answer: x = (-2,0) y = (0,-3) slope is -3/2

Step-by-step explanation: graph the line  by  using the slope and y intercept

The graph for the points (0, -3) and (2, -6) is plotted on the graph below.

The given equation is y-3= -3/2(x+4).

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Graph the line using the slope and y-intercept, or two points.

Slope: -3/2

y-intercept: (0, -3)

Plot the points (0, -3) and (2, -6) on the graph

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (−2,0)

y-intercept(s): (0,−3)

Therefore, the graph for the points (0, -3) and (2, -6) is plotted on the graph below.

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No, the probability that a continuous random variable equals a certain value is zero does not imply that the probability of finding even or odd values is also zero.

The reason for this is that even and odd values are not specific points in the continuous probability distribution, but rather sets of points. For example, if we consider a uniform distribution over the interval [0, 1], the probability of any particular point in the interval is zero, including both even and odd values. However, the probability of finding an even value in the interval is 1/2, since half of the values in the interval are even. Similarly, the probability of finding an odd value is also 1/2. Therefore, the fact that the probability of a continuous random variable taking a certain value is zero does not imply anything about the probability of finding even or odd values.

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Answer:

You cannot tell which number is greater, we need more information.

"multi-digit" does not imply how many digits each number has, therefore both numbers could be greater, for example:

3005 vs 60

OR

30 vs 645

Answer:

Step-by-step explanation:

answer for question no 3

answer for question no 4

An equation of the line that passes through the point (2, 4) and is perpendicular to the line 8x + 7y − 4 = 0 is y = -4x + 4.

To find the equation of a line that passes through a given point and is perpendicular to another line, you can use the slope-intercept form of a linear equation, which is given by y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.

In this case, the line 8x + 7y − 4 = 0 has a slope of -7/8. To find the equation of a line that is perpendicular to this line and passes through the point (2, 4), we need to find the slope of the perpendicular line, which is -1/(-7/8) = 8/7. Then, we can use the point (2, 4) and the slope (8/7) to find the y-intercept of the line, which is the value of b in the equation y = mx + b.

Substituting the coordinates of the point (2, 4) and the value of the slope (8/7) into the equation, we get 4 = (8/7) * 2 + b, which can be simplified to 4 = 16/7 + b. Solving for b, we get b = 4 - 16/7 = 28/7 - 16/7 = 12/7.

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Yes, the researcher use the rows or the columns of the field as blocks.

When conducting research, it is important to think about which structure to use as the basis for your work.

In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.

Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.

However, it can be challenging to discover similarities between data points within the same row.

Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.

Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.

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Answer:

Cylinder container (right)

Step-by-step explanation:

Left (cone) container

r = 12 ÷ 2 = 6 cm

h = 19 cm

⇒ Volume = (1/3) x 3.14 x 6² x 19 = 715.92 cm³

Cost $6.75

Cost per cm³ = 6.75 ÷ 715.92 = $0.009428...

Right (cylinder) container

r = 8 ÷ 2 = 4 cm

h = 15 cm

⇒ Volume = 3.14 x 4² x 15 = 753.6 cm³

Cost $6.25

Cost per cm³ = 6.25 ÷ 753.6 = $0.008293...

Therefore the right (cylinder) container is better value as it costs less per cm³

6

Step-by-step explanation:

here,

4x +2=15x-64

64+2=15x-4x

66=11x

x=66/11

x=6

a) Consider the experiment of picking 3 tax returns at random as 3 related experiments (due to the fact that it is without replacement); then, as for the first time one selects a tax return,

As for the second time we grab a tax return, there are 69 tax returns in total and 9 of them contain errors; thus,

Similarly, as for the third picking round,

Finally, the probability of experiment a) is

Rounded to one decimal place, the probability of event a) is 65.7%

b) Similarly, in the event of all three tax returns containing errors,

Thus,

The probability of event b) is 0.2%. It is quite unusual.

c) The condition 'at least one of those containing errors' includes the cases when 1, 2, or 3 tax returns of the ones selected have errors. Notice that

Therefore,

And we found the probability of picking 3 tax returns without any errors in part a); thus,

The probability of event c) is 34.3%.

d) Analogously to part c), the probability of selecting at least one without errors is

The probability of event d) is 99.8%, and it is not improbable at all.

Answer:

it's 9 or 21

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3×4=12

three multiply by four is equal to 12.

Answer:

Let Jiri's age be as 'x'

Therefore, Pamela's would be 2x

Since the addition of both is 72, the equation formed would be..

2x+ x =72

3x =72

x= 72÷3

x = 24 years.

Therefore, Jiri's age is 24 and Pamela's is twice of Jiri ie 48 years.

Answer:

There will be no money left over to save

Step-by-step explanation:

1/2 on clothes is 50%

1/3 on books is 30%

and 1/5 on pens is 20%

50%+30%+20%= 100%

there wont be any money left to save

Answer:

In this context, the word "enigma" means mystery.

Step-by-step explanation:

Answer:

Mystery, puzzle

Context clue: "No one ever traced the sound when they heard it." + "The reason that the source of the noise is such an" provide context clues that this may be a mystery or some sort of puzzling puzzle.

The expression x³ - x when factored out is x(x -1)(x + 1)

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

X to the power of three - x

Express the expression properly

So, we have the following representation

x³ - x

The terms of the above expression are:

x³ and x

And the factor of x³ and x

Factor = x

So, we divide x³ and x by x

The results of these divisions are

x³/x = x²

x/x = 1

So, we have the following results

(x³ - x) = x(x² -1)

Express x² -1 as a difference of two squares

So, we have

(x³ - x) = x(x -1)(x + 1)

Hence, the factored expression is x(x -1)(x + 1)

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Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

Answer:

Ok so I've had braces and it doesn't really hurt getting put in but it does hurt when they tighten them but you have nothing to worry about :)

Step-by-step explanation:

Answer:

They don't hurt when they put them in however you will feel mild soreness and discomfort as your mouth adjusts to them as with anything, for example, fillings, they feel gritty and uncomfortable at first but your mouth adjusts to it.

" There will be mild soreness or discomfort after the orthodontic wire is engaged into the newly placed brackets, which may last for a few days to a week."

I know its can be scary at first but its for the health of your teeth and not everyone gets that privilege, just make sure to take care of them properly.

Step-by-step explanation: