Which is equivalent to 103/4x

Answer:i dont see anything

Step-by-step explanation:

Answer:

a) 60 km

b) if it means 1 pm to 5 pm than answer will be 240 again

c)100/60

This question is about ratios. Initially, 8 people have enough water for 9 days. When 4 more people join, the water supply will now last for 6 days.

This question involves a concept of Mathematics, specifically in the area of ratios or proportions. The initial premise is that 8 people on a trek have enough water to last them for 9 days. We can express this ratio as 8:9, which means for every 8 persons, the group can sustain its water supply for 9 days.

Now, we must calculate what would happen if 4 more people join the trek. Since now there are 12 people (8 original + 4 new), the new ratio becomes 12:9. However, the amount of water remains fixed. We can find the number of days the water will now last by dividing the quantity of water by the increased number of people, i.e., 9 days * (8 people/12 people) = 6 days.

So, when 4 more people join the group, the water supply will last the whole group for 6 days.

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Answer:

C & D

Step-by-step explanation:

x² + 3x - 3 = 0

a = co efficient of  x² = 1

b=  co efficient of x = 3

c = constant = -3

roots = (-b ± \(\sqrt{b-4ac}\))/2a

    = (-3±\(\sqrt{3^{2}-4*1*[-3]}\) )/2*1

    = (-3±\(\sqrt{9+12}\))/2

    = (-3±√21)/2

  \(x = \frac{-3+\sqrt{21}}{2} ; x =\frac{-3-\sqrt{21}}{2}\)

The answer that refers to the total number of cases of a disease or a disorder in a specified population at a particular point in time is prevalence.

Prevalence is the total number of cases of a disease or disorder in a population at a given point in time, and does not include cases that have been resolved or previously diagnosed cases. It is an important measure of the health of a population, as it allows researchers to identify patterns in the distribution of a disease or disorder and helps inform public health strategies.

Prevalence is calculated by dividing the total number of cases of a disease or disorder in a population at a given point in time, by the size of the population. For example, if a population of 100,000 people has 500 cases of a particular disease, the prevalence would be 0.005 or 0.5%.

Prevalence is an important metric in epidemiology and public health, and is often used in combination with incidence rates to measure the health of a population. Incidence rates measure the number of new cases of a disease or disorder that occur in a population over a certain time period, whereas prevalence is a snapshot of the total number of cases of a disease or disorder in a population at a given point in time.

Knowing the prevalence of a disease or disorder in a population helps public health practitioners understand the magnitude of a health issue, inform public health strategies, and identify risk factors and trends in the distribution of a disease or disorder.

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Answer:

B. 81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

√x + 3 = 12

Step 2: Solve for x

Answer:

B

Step-by-step explanation:

Given

\(\sqrt{x}\) + 3 = 12 ( subtract 3 from both sides )

\(\sqrt{x}\) = 9 ( square both sides )

x = 9² = 81 → B

Answer: (24 + 60) = (6 × 4 + 6 × 10) = 6 × (4 + 10)

A correlation coefficient, r can never be less than -1 or greater than 1. Thus, d. 1.032 is not possible as a correlation coefficient.

The correlation coefficient, r is a measure of the direction and strength of the linear relationship between two variables. The correlation coefficient (r) varies between -1 and 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation. A value greater than 1 or less than -1 is not possible. Therefore, the value that could not represent a correlation coefficient is d. 1.032.

Given, the correlation coefficient varies between -1 and 1. The value that could not represent a correlation coefficient is 1.032 since it is greater than 1. A correlation coefficient, r of -1 indicates a perfect negative correlation where one variable decreases as the other increases. A correlation coefficient, r of 1 indicates a perfect positive correlation where both variables move in the same direction. A correlation coefficient of 0 indicates no linear relationship between the two variables.  A correlation coefficient, r can never be less than -1 or greater than 1.

Thus, d. 1.032 is not possible as a correlation coefficient.

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Answer:

25.5 u²

Step-by-step explanation:

Find the area of the rectangle, then the area of the triangle. To get the final area, add them together.

Rectangle: 3 x 5 = 15

Triangle: 3 x 7 ÷ 2 = 10.5

Total: 15 + 10.5 = 25.5 u² (you put it in units since you don't know the measure, e.g. cm, m, km...)

Without using a calculator  1⅜ : 2⅜ simplifies to 11/152.  

We can simplify this expression by using the fact that both the numerator and the denominator have a common factor of 1/8. We can divide both the numerator and the denominator by 1/8 to simplify the fraction:

1⅜ : 2⅜

= (1 + 3/8) : (2 + 3/8)

= 11/8 : 19/8

Now we can simplify the fraction by finding the greatest common factor (GCF) of the numerator and the denominator, which is 1:

11/8 : 19/8

= (11/8) ÷ (19/8)

= (11/8) x (8/19) (reciprocal of the denominator)

= (11 x 1)/(8 x 19)

= 11/152

Therefore, 1⅜ : 2⅜ simplifies to 11/152.

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Answer:

21.213 m

Step-by-step explanation:

If the diagonal d = 30 m

then the side a = d÷(√2)

hence a = 30 m ÷ (√2) = 21.213 m

Answer:

Resto= $240.000

Step-by-step explanation:

Dada la siguiente información:

Cantidad total de dinero= $640.000

Costo de estudio= 3/8= 0,375

Costo de auto= 1/4= 0,25

Primero debemos calcular la cantidad total gastada, y después la diferencia:

Costo de estudio= 0,375*640.000= 240.000

Costo de auto= 0,25*640.000= 160.000

Gasto total= $400.000

Resto= 640.000 - 400.000

Resto= $240.000

Answer:

45 degrees

Step-by-step explanation:

corresponding angles have are equal

Answer:

3311.36ft^3

Step-by-step explanation:

Given data

Height h= 11.9ft

Radius=16.3ft

The expression for the volume of a cone is given as

Volume= 1/3πr^2h

substitute

Volume=1/3*3.142*16.3^2*11.9

Volume= 1/3*3.142*265.69*11.9

Volume= 1/3*9934.095962

Volume=3311.36ft^3

Hence the volume is 3311.36ft^3

The distance between the observer and the hot air balloon is increasing at a rate of \(25\times \sqrt{5}\) feet/minute when the balloon is rising at a rate of 50 feet/minute and is 150 feet above the ground.

point A and the hot air balloon is at point B, 200 feet away horizontally and 150 feet above the ground vertically. We want to find how fast the distance AB is increasing at the moment when the balloon is rising at a rate of 50 feet/minute.

Let's call the distance AB "d" and the time "t". We are given that:

\(d = \sqrt{(200^2 + (200 - 150)^2)} = \sqrt{(50000)} = 100\times \sqrt{5}\) feet (using the Pythagorean theorem)

h = 150 feet (the height of the balloon above the ground)

dh/dt = 50 feet/minute (the rate at which the height of the balloon is increasing)

To find dd/dt, we can use the chain rule of differentiation:

dd/dt = (dd/dh) × (dh/dt)

We can find dd/dh by taking the derivative of the distance formula with respect to h:

\(dd/dh = 1/\sqrt{(200^2 + (200 - h)^2)} \times d/dh(\sqrt{(200^2 + (200 - h)^2)} )= (200 - h) \sqrt{(200^2 + (200 - h)^2)}\)

Plugging in h = 150, we get:

\(dd/dh = (200 - 150) / \sqrt{(200^2 + (200 - 150)^2) } = 50 / \sqrt{(50000) } = \sqrt{(5)/2}\) feet/foot

Now we can find dd/dt:

\(dd/dt = (dd/dh) \times (dh/dt) = (\sqrt{(5)/2) } \times 50 = 25\times \sqrt{5}\) feet/minute

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9514 1404 393

Answer:

  18

Step-by-step explanation:

90 = 18·5

126 = 18·7

180 = 18·10

990 = 18·55

The greatest common factor of these numbers is 18.

__

Comment on the GCF

It can be useful to know Euclid's algorithm for finding the GCF:

For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)

Answer:

68 kilograms

Step-by-step explanation:

Answer:

J, B, A, L

Step-by-step explanation:

The awnser to question one is J, the awnser to questions two is B, the awnser to question three is A and the awnser to question four is L. Hope this helps.

Answer:

2

Step-by-step explanation:

The GCF of 4 and 2 is 2.

Greatest common factor is the greatest number that can be divided by both numbers without leaving a remainder. 4/2 = 2, and 2/2 = 1. This is the greatest number that will not leave a remainder.

Based on the analysis, the answer choice that could not possibly be the total number of people, horses, sheep, cows, and ducks in Hamlet is (a) 41.

What is analysis?

Analysis can involve different approaches and methodologies depending on the context. It may include techniques such as data analysis, statistical analysis, qualitative analysis, quantitative analysis, financial analysis, risk analysis, or market analysis, among others.

To solve this problem, we need to consider the ratios between the different animals and people in the town of Hamlet. We'll use these ratios to eliminate the answer choices that are not possible.

Given ratios:

3 people for each horse

4 sheep for each cow

3 ducks for each person

Let's analyze each answer choice:

(a) 41:

If we have 41 as the total number of animals and people, we need to distribute them according to the given ratios. However, this distribution is not possible because we cannot have a fractional number of animals or people based on the ratios. Therefore, (a) 41 is not possible.

(b) 47:

Using the given ratios, let's calculate the number of horses, cows, and ducks required:

Horses = (3 people) / (3 people per horse) = 1 horse

Cows = (4 sheep) / (4 sheep per cow) = 1 cow

Ducks = (47 - 1 - 1) = 45 ducks (subtracting the number of people, horse, and cow)

The distribution is possible, and we have accounted for all the animals and people. Therefore, (b) 47 is a possible total number.

(c) 59:

Using the given ratios:

Horses = (3 people) / (3 people per horse) = 1 horse

Cows = (4 sheep) / (4 sheep per cow) = 1 cow

Ducks = (59 - 1 - 1) = 57 ducks

The distribution is possible, and we have accounted for all the animals and people. Therefore, (c) 59 is a possible total number.

(d) 61:

Using the given ratios:

Horses = (3 people) / (3 people per horse) = 1 horse

Cows = (4 sheep) / (4 sheep per cow) = 1 cow

Ducks = (61 - 1 - 1) = 59 ducks

The distribution is possible, and we have accounted for all the animals and people. Therefore, (d) 61 is a possible total number.

(e) 66:

Using the given ratios:

Horses = (3 people) / (3 people per horse) = 1 horse

Cows = (4 sheep) / (4 sheep per cow) = 1 cow

Ducks = (66 - 1 - 1) = 64 ducks

The distribution is possible, and we have accounted for all the animals and people. Therefore, (e) 66 is a possible total number.

Based on the analysis, the answer choice that could not possibly be the total number of people, horses, sheep, cows, and ducks in Hamlet is (a) 41.

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Answer:

barely any pounts, √

Step-by-step explanation:

The sampling technique used to obtain the described sample is A. Systematic sampling.

In systematic sampling, the elements of the population are ordered in some way, and then a starting point is randomly selected. From that point, every nth element is selected to be part of the sample.

In the given scenario, the first 35 students leaving the library were selected. This suggests that the students were ordered in some manner, and a systematic approach was used to select every nth student. Therefore, the sampling technique used is systematic sampling.

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The data given by the American Water Works Association are;

The per capita water use in a single-family home, μ = 76 gallons per day

The number of responders in the sample, n = 27

The sample mean water used by the sample, \(\overline x\) = 71 gallons

The standard deviation, s = 9.5 gallons per day

The level of significance, α = 0.01

The test statistics is given as follows;

The null hypothesis, H₀; μ ≥ 76 gallons

The alternative hypothesis, Hₐ; μ < 76 gallons

\(t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}\)

Therefore, we have;

\(t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817\)

At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5

From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418

Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.

Answer:

8 students got an A

Step-by-step explanation:

31%+44% = 75% so that must mean 25% of the class got As. So \(\frac{25}{100}= \frac{x}{32}\)

Cross multiply and you'll get 800 = 100x, solve that and 8 is your answer. Hope this helps!

The variance of the total weight of flour sacks purchased is 36.

Since the moment generating function of a random variable uniquely determines its moments, we can use the moment generating function MW(t) to find the mean and variance of the weight of one sack of flour.

The first derivative of the moment generating function is:

MW'(t) = 6t/(1 - 3t)³

Setting t = 0, we get the mean:

MW'(0) = 6(0)/(1 - 3(0))³ = 0

So the mean weight of one sack of flour is zero.

The second derivative of the moment generating function is:

MW''(t) = 54t²/(1 - 3t)⁴ + 18/(1 - 3t)³

Setting t = 0, we get the second moment:

MW''(0) = 54(0)²/(1 - 3(0))⁴ + 18/(1 - 3(0))³ = 18

So the variance of the weight of one sack of flour is 18.

Now, let X and Y denote the weights of the first and second sacks of flour, respectively. Since the weights are independently distributed, the variance of the total weight of flour sacks purchased is the sum of the variances:

Var(X + Y) = Var(X) + Var(Y) = 18 + 18 = 36

Therefore, the variance of the total weight of flour sacks purchased is 36.

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