divide 405 in to the ratio 3:12
give answer in the form ... and ...

The weight of the baby Gorrila is that of Paula (a = 62)

Here, we want to plug the weight of each Gorrila into the equation to see the value that makes the equation true

Simply, what we have to do is to replace the a value by the weight in pounds and see if we will arrive at 318

a) George

This is not equal to 318 and thus, cannot be correct

b) Nancy

This is not equal to 318 and is thus false

c) Hank

688 is not equal to 318 and thus, this is false

d) Paula

This is equal to 318 and is thus true

e) Gavin

As we can see, 128 is not 318 and thus, this cannot be correct

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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Answer:

5 ft

Step-by-step explanation:

Answer: i think you should label it with numbers first

maybe??

Step-by-step explanation:

Answer:

2 : 3 is the correct answer

Step-by-step explanation:

happy to help :)

Answer:

Step-by-step explanation:

sean

Answer:

300 - 5t means that Ann pays $300 - 5 times the number of guests she brings to the gym.

when t = 5, it equals $275

when t = 10, it equals $250

when t = 15, it equals $225

when t = 20, it equals $200

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

angle 2 and angle 6 are corresponding angles, because the lines are parallel and cut by a transversal, corresponding angles are congruent, thus if angle 2 is 75 degrees then angle 6 is 75 degrees

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. The correct answer is "c. asynchronous."

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. However, it should be noted that statistical time division multiplexing is different from synchronous time division multiplexing, which divides the time slots in a fixed, predetermined manner. In statistical time division multiplexing, the time slots are allocated dynamically based on the data traffic, hence the term "statistical".

More specifically, asynchrony describes the relationship between two or more events/objects that interact in the same system but do not occur in a predetermined manner and are not necessarily dependent on each other's existence for escape. They do not cooperate with each other, which means they may or may not occur simultaneously as they have their own separate processes.

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Answer: I hope this helped!

Step-by-step explanation:

.

Answer:

  -67.3 °C

Step-by-step explanation:

You want the change in temperature of a 25 g copper block placed in 500 g of water. The initial temperature of the copper is 88 °C, and that of the water is 20 °C. The respective specific heat capacities are 0.380 and 4.184 J/(g·°C).

Let x represent the change in temperature of the copper block in °C. Then the final temperature of the copper and water is (88+x). The energy input required to change the temperature of the copper is ...

  0.380 J/(g·°C) × 25.0 g × x

The energy input required to change the temperature of the water from 20 °C to (88+x) °C is ...

  4.184 J/(g·°C) × 500 g × ((88+x) -20)

There is no external energy input to the system, so the net energy change is zero:

  [0.380 J/(g·°C) × 25.0 g × x] + [4.184 J/(g·°C) × 500 g × ((88+x) -20)] = 0

Simplifying the equation, recognizing that the units of x are °C, we have ...

  142256 +2101.5x = 0

  x = -142256/2101.5 ≈ -67.6926

The change in temperature of the copper block is about -67.7 °C.

Answer:

Slope of BC = 1/2

Step-by-step explanation:

Given collinear points A, B and C

slope of the line AB = 1/2

Answer: -7, -6.5, -6.2, -4.5, 0

I hope this helps, stay safe, and have a great rest of your day. :)

Answer:

-7, -6.5, -6.2, -4.5, 0

Step-by-step explanation:

Each cross-section perpendicular to the x-axis is an equilateral triangle. The volume of the solid is\((sqrt(3)/36) × s^3.\)

To find the volume of a solid whose each cross-section perpendicular to the x-axis is an equilateral triangle, we need to use calculus. Let us denote the area of an equilateral triangle with side length s as A(s).

Hence, the volume of the solid will be∫baf(x)dx, where f(x) is the function that gives the area of the cross-sectional triangle whose base is the x-axis and b and a are the limits of the interval over which we want to find the volume.

As each cross-section is an equilateral triangle, the area of the triangle whose base is the x-axis will be

\(A(f(x)) = (\sqrt{(3)/4)} \times(f(x))^2.\)

We have to find the limits of the interval for which we need to find the volume. As we are finding the volume of a solid, we know that the interval will be in the x-direction. Hence, we need to find the limits of the interval of the x-axis. We can see that the cross-sectional triangles are equilateral triangles.

Hence, they will be similar, and we can set up a proportion to find the value of x for which the triangle has side length s. We know that the height of an equilateral triangle with side length s is \((sqrt(3)/2) × s.\) As the cross-sectional triangles are perpendicular to the x-axis, their height will be equal to the value of x.

Hence, we can set up a proportion to find the value of x. We know that:

\((sqrt(3)/2) × s = x. => s = (2/sqrt(3)) × x.\)

Hence, the limits of the interval will be x = 0 and \(x = (sqrt(3)/2) × s. => x = 0\)and \(x = s/(2 × sqrt(3)).\)

Now, let us find the volume. We know that \(f(x) = (sqrt(3)/4) × x^2.\)

Hence, the volume will be: \(V = ∫(s/(2 × sqrt(3))0(sqrt(3)/4) × x^2dx => V = (sqrt(3)/36) × s^3\)

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Answer:5,800

Step-by-step explanation:

The average depreciation of the equipment per year is $9200.

The monetary value of an asset decreases over time due to use, wear and tear or obsolescence, this is called as depreciation.

Now it is given that,

Cost of the equipment = $85,600

current value of the equipment is given as $30,400

Duration for which the equipment was used = 6 years

Now the depreciation of the equipment is given as,

Total depreciation in the price of the equipment

                       = Cost of the equipment - current price of the equipment

So, total depreciation = $85,600 - $30,400 = $55,200

Now,

Average yearly depreciation = Total depreciation ÷ Years used

Average depreciation = 55,200/6

⇒Average depreciation = $9200

Therefore, average depreciation of the equipment per year is $9200.

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There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.

Probability is a measure of the likelihood that an event will occur.

The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.

Let, X be the random variable denoting the number of shoppers on a random day.

Then, X follows normal with mean 505 and standard deviation of 115.

Then, we can say that,

Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.

We have to find

P (250 <X< 450)

= P {(250-505)/155} < Z < {(450-505)/155}

= P (-1.64 <Z< -0.03)

Where, Z is the standard normal variate.

ρ = -1.64 <ρ< -0.03

Where, ρ is the distribution function of the standard normal variate.

From the standard normal table, this becomes

=0.00585

For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.

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Jeff's expected earnings from the concert are $2903.

To calculate Jeff's expected earnings from the concert, we need to consider the probabilities of it raining or not raining. The probability of it raining is given as 11 percent, which means the probability of it not raining is 100% - 11% = 89%.

To find Jeff's expected earnings, we multiply the estimated earnings for each outcome by their respective probabilities and add them together.

Expected earnings = (Earnings if it does not rain) * (Probability of not raining) + (Earnings if it does rain) * (Probability of raining)

Expected earnings = $3200 * 0.89 + $500 * 0.11

Expected earnings = $2848 + $55

Expected earnings = $2903

Therefore, Jeff's expected earnings from the concert are $2903.

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If you roll a fair 6-sided die, each of the 6 outcomes (1, 2, 3, 4, 5, 6) is equally likely, with a probability of 1/6. This means that the probability of rolling a particular number, such as 6, is 1/6.

Rolling the die 4 times gives 6 to the power of 4 = 1296 possible outcomes. The probability of not rolling a 6 in one roll is 5/6, so the probability of not rolling a 6 in four rolls is (5/6)^4. This can be calculated as: 5/6 × 5/6 × 5/6 × 5/6 = 625/1296. To find the probability of rolling at least one 6, we can use the principle of imputed probability.

This means that the probability that an event will occur is equal to 1 minus the probability that the event will not occur. In this case, the probability of rolling at least one 6 is 1 - (the probability of rolling no 6). So 1 - 625/1296 = 671/1296 = about 0.518.

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Answer:

The slope of g(x) is less than the slope of f(x)

Step-by-step explanation:

Find the slopes of both lines with rise/run

f(x): 3/1 = 3

g(x): 2/4 = 1/2

The slope of g(x) is less than the slope of f(x)

Answer:

B. The slope of g(x) is less than the slope of f(x)

Step-by-step explanation:

The slope of f(x) is 2/1 or just 2 and the slope of g(x) is 1/2, less than f(x).

Answer:

√{99×33×3}=√{33×3×33×3}=√(33²×3²)=±33×3=±99

Answer:

99

Step-by-step explanation:

Cause 33×3=99 ,and the function of the root is to get the number that we multiply it ti itself

For example \(\sqrt{4}\) =2 cause 2×2=4 ,so\(\sqrt{2*2}\) =\(\sqrt{4}\) which is =2

so \(\sqrt{99^{2} }\) =99

The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).

To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.

Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.

As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.

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Answer:

D) 4 < x < 6

Step-by-step explanation:

The interval is decreasing when it is doing down in value  when x is increasing.

The graph is decreasing over the interval between the values of 4 and 6.

Answer: Question 1 is 30 miles, Question2 is 360 acres, and Question 3 should be $8.

Step-by-step explanation:

Answer:

the following points: (6,-1),(2,-4), and (-2,3)

Step-by-step explanation:

imagine that the y axis is a mirror. Everything that happens is reflected. So (1,2) becomes (-1,2) so your three points are (-6, -1),(-2,-4), and (2,3) when you reflect them, you get the following points: (6,-1),(2,-4), and (-2,3)

Answer:

720

Step-by-step explanation:

22,320 divided by 31 is 720

Answer:

3 hours a day

Step-by-step explanation:

22,320-31-31-31-31-31-31-31-31-31-31-31 and way more

Answer:

Here you have to use the vertically opposite angle

your answer is 35

because vertically opposite angles are equal

x=35

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

X and 35 are vertical angles and vertical angles are equal

If the results of the ANOVA (Analysis of Variance) were significant, it would lead to the conclusion that at least some generations have different understanding of climate change.

ANOVA is a statistical test used to determine if there are significant differences between the means of multiple groups. In this case, the different generations represent the groups being compared. If the ANOVA results show a significant difference, it indicates that there is variation in understanding of climate change among the generations.

The significant result implies that there are at least some differences in attitudes toward climate change across the different age groups. This does not necessarily mean that older people know more or less about climate change specifically, as the ANOVA does not provide direct information about the direction of the differences. It only confirms that there are variations in understanding between the generations.

To determine which specific generations differ from each other, further post-hoc tests or additional analyses would be needed. These tests would provide insights into the nature and direction of the differences among the generations regarding their understanding of climate change.

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Answer:

90 minutes

Step-by-step explanation:

it will take twice as long therefore 90 minutes