Solve for c.

c+3/8=1 1/3

Enter your answer as a fraction in simplest form in the box.

c =

Answer: x=5

Step-by-step explanation:

3x appears two times and so does 2x +2. That created the equation 3x + 3x + 2x + 2 + 2x + 2=54. Combine like terms. You get 10x +4=54. Then you solve. Inverse operation: You subtract 4 from 54. Which is 50, then divide by 10. X=5

The value of the x for the given rectangle is 5 units.

The whole distance that a rectangle's boundaries, or its sides, the cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the sum of its four sides.

Given, The perimeter of the rectangle below is 54 units.

Also given the length of the rectangle = 3x

and the width of rectangle = 2x + 2

Since, Perimeter of rectangle = 2 *( length + width)

Perimeter of rectangle = 2 * (3x + 2x + 2)

Since we have a perimeter

54 = 2 *(5 x + 2)

5x + 2 = 27

5x = 25

x = 5

Therefore, For the given rectangle, the value of x is 5 units.

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The length of one edge of the tabletop is 4.89 feet.

We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.

The area of square table is given by the formula -

Area of square table = side²

We will keep the value of area of square table to find the value of side which will be length of edge

24 = side²

Side = ✓24

Taking square root for the value on right side of the equation

Side = 4.89

Hence, the length of one edge of the tabletop is 4.89 feet.

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Answer: 90 degrees.

Step-by-step explanation:

Step 1: The smallest angle must be 90/2 = 45 degrees.

Step 2: The largest angle is twice the size of the smallest angle, so it is 90 degrees.

Answer:

C

Step-by-step explanation:

Add up all the possible colors of gumballs:

10+6+18+20 = 54

There are 20 blue.

So 20/54, which is 10/27

It says to simplify but there are no simplified options! So I would pick C!

Answer:34/20

Step-by-step explanation:

Using the augmented matrix, we find that:

------------------

For the first system, looking at the third row of the matrix, the relation is:

\(0t = 1\)

Which is not possible, thus there are no solutions.

For the second system, the third line is:

\(0t = 0\)

Which means that there are infinite solutions, and t is the free parameter.

From the second line, y = 5.

From the first, \(x + 3t = 0 \rightarrow x = -3t\)

The solutions are: (-3t, 0, t).

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Answer: No Solution

Step-by-step explanation:

Answer:

C 0,3

Step-by-step explanation:

C 0,3 are the coordinates of T

The Midpoint Formula

(X1 + X2)/2 , (Y₁ + Y₂)/2

(2 + X2)/2 = -2

(2 + X2) = -4

(2 + X2) = -4

X2 = -6

(6₁ + Y₂)/2 = 0

Y₂ = -6

The characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.

In one of the trailers, the characters narrowly escape the displacer beast by jumping over a crevice. To calculate the minimum velocity required for the jump, we can use the equation for the distance of an object thrown vertically upwards:

v1 = √(2gh)

where v1 is the initial velocity, g is the acceleration due to gravity (9.81 m/s2), and h is the height of the crevice.

For example, if the crevice is 6 meters deep, the required initial velocity to safely jump over it would be:

v1 = √(2 * 9.81 * 6)

v1 = 13.4 m/s

Therefore, the characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.

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Complete question:

How do you calculate the minimum velocity required to jump over a crevice to escape a displacer beast?

The two-tailed test seeks evidence that the population parameter

(1) is not equal to the population parameter (2).

In a two-sample hypothesis test, a two-tailed test is employed to determine if there is evidence that the population parameter (1) differs from the population parameter (2).

This test is useful when we want to examine whether the two populations have significantly different means, proportions, or other relevant parameters.

The two-tailed test considers two possible alternative hypotheses: the population parameter (1) is either greater than the population parameter (2), or it is smaller than the population parameter (2). By considering both directions of the difference, we can evaluate the possibility of a significant difference in either direction.

In a two-tailed test, the null hypothesis assumes that the population parameters (1) and (2) are equal. The alternative hypothesis, on the other hand, states that there is a significant difference between the two population parameters. By conducting the test, we gather evidence to either support or reject the null hypothesis.

To perform a two-tailed test, we follow a standardized process. We calculate the test statistic, such as the t-statistic or z-statistic, and compare it to the critical value(s) from the appropriate distribution. If the test statistic falls in the rejection region, we reject the null hypothesis and conclude that there is evidence of a significant difference between the population parameters.

Hypothesis testing, specifically two-sample hypothesis testing, can provide a deeper understanding of statistical analysis. By exploring the various types of tests, their assumptions, and applications, researchers and analysts can make informed decisions based on reliable evidence. Additionally, understanding the nuances of hypothesis testing contributes to the development of robust experimental designs and accurate interpretation of results.

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The rate of increase in population size will depend on the magnitude of the difference between the birth and death rates, as well as the extent of emigration and immigration.

If the number of births in a population are greater than the number of deaths and the emigration rate is 2x the immigration rate, then the population size is likely to increase over time. This is because there are more individuals being born than dying, and even though there is a higher emigration rate, the net effect is still an increase in population size. However, the rate of increase in population size will depend on the magnitude of the difference between the birth and death rates, as well as the extent of emigration and immigration.
If the number of births in a population is greater than the number of deaths, and the emigration rate is 2x the immigration rate, the population size is likely to experience some growth due to the excess of births over deaths. However, the growth may be slowed down or even potentially decrease over time, as the higher emigration rate could lead to more people leaving the population than entering it. The overall change in population size will depend on the balance between these factors.

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Using the probability concept, it is found that the number of desired outcomes that Taylor should use in her calculation is given by:

a. 3

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, Taylor needs a number greater than 3, which for the dice are 4, 5 and 6, that is, 3 desired outcomes, hence option A is correct.

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Answer: The answer is 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the volume (V) of a pyramid is calculated as

V = \(\frac{1}{3}\) Bh ( B is the area of the base and h the height )

here h = \(\frac{1}{2}\) h

V = \(\frac{1}{3}\) B × \(\frac{1}{2}\) h = \(\frac{1}{6}\) Bh → D

Answer:

  35/132

Step-by-step explanation:

The probability of selecting a boy for president is 7/12, the ratio of the number of boys to the number of candidates. Then the probability of selecting a girl for vice president is 5/11, the ratio of the number of girls to the remaining number of candidates. The joint probability is ...

  (7/12)(5/11) = 35/132 . . . P(b=P&g=VP)

__

We can also look at this another way.

The number of ways two candidates can be selected from 12 is 12P2 = 132. The number of ways that the first can be a boy and the second can be a girl is (7)(5) = 35. Then the probability of a (BG) pair from the 12 candidates is 35/132.

_____

Additional comment

These numbers assume that selection is random and all possibilities are equally-likely. That is unlikely to be the case in an election.

Answer:

3y - x = 3

Step-by-step explanation:

The slope intercept form of the equation is expression is y = mx+c

m is the slope

c is the y inercept

From the graph

c = 1

Using the coordinates (-3, 0) and (0, 1)

m = 1-0/0-(-3)

m = 1/3

Get the required equation

y = 1/3x + 1

Multiply through by 3

3y = x + 3

3y - x = 3

Hence the required equation is 3y - x = 3

Using distance formula, the triangle ABC is a scalene triangle

To classify the triangle, we need to determine whether its sides are equal in length (in which case it's equilateral or isosceles), or whether they are all different lengths (in which case it's scalene). We can use the distance formula to calculate the length of each side of the triangle, as follows:

The distance formula gives us the distance between two points (x1, y1) and (x2, y2) in the coordinate plane:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

Using this formula, we can find the length of each side of triangle ABC:

AB = √[(4-1)^2 + (4-0)^2] = √(9 + 16) = √25 = 5

BC = √[(6-4)^2 + (2-4)^2] = √(4 + 4) = 2√2

AC = √[(6-1)^2 + (2-0)^2] = √(25 + 4) = √29

We can see that AB = 5, BC = 2√2, and AC = √29. Since all three sides have different lengths, the triangle is scalene.

Note that the midpoints of the sides AB and BC are not relevant for determining the type of triangle. Also, it's not accurate to say that the midpoint of AB is (4/3, 2), as the coordinates of the midpoint are actually ((1+4)/2, (0+4)/2) = (2.5, 2), and similarly for the midpoint of BC.

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Using the normal distribution as an approximation for the binomial or Poisson distribution involves applying the characteristics of the normal distribution to approximate the behavior of these discrete distributions. This approximation is based on certain conditions and mathematical principles.

The normal distribution has finite tails, meaning that extreme values in the binomial or Poisson distribution may not be accurately captured by the normal approximation.

The normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that is symmetric and bell-shaped. It is fully characterized by its mean (μ) and standard deviation (σ). On the other hand, the binomial distribution describes the probability of a certain number of successes in a fixed number of independent Bernoulli trials, while the Poisson distribution models the probability of a given number of events occurring in a fixed interval of time or space.

The decision to use the normal distribution as an approximation for the binomial or Poisson distribution relies on specific conditions. These conditions include having a large number of trials or observations and a moderate range of values. Additionally, the probability of success for each trial should be reasonably close to 0.5 for the binomial distribution or the mean should be sufficiently large for the Poisson distribution.

The approximation works due to the central limit theorem (CLT), which states that the sum or average of a large number of independent and identically distributed random variables will be approximately normally distributed, regardless of the shape of the original distribution. In the case of the binomial distribution, as the number of trials increases, the distribution becomes more symmetric and bell-shaped, resembling a normal distribution. Similarly, for the Poisson distribution, as the mean increases, the distribution also approaches a symmetric and bell-shaped form, making it suitable for approximation using the normal distribution.

The strengths of using the normal distribution as an approximation are its simplicity and ease of use. The normal distribution has well-defined properties and is widely understood and studied. It allows for the application of various statistical techniques, such as confidence intervals and hypothesis testing, that are based on the normal distribution. Additionally, the normal distribution has a straightforward parameterization with its mean and standard deviation, making it convenient for calculations and interpretations.

However, there are limitations and weaknesses to consider when using the normal distribution as an approximation. One limitation is that the approximation may not be accurate when the conditions for using the normal distribution are not met. For example, if the number of trials or observations is small, or if the probability of success for each trial is close to 0 or 1, the normal approximation may not provide accurate results.

Another weakness is that the approximation may introduce some error in the tails of the distribution. The normal distribution has finite tails, meaning that extreme values in the binomial or Poisson distribution may not be accurately captured by the normal approximation.

It is important to assess the appropriateness of using the normal distribution as an approximation based on the specific characteristics of the data and the objectives of the analysis. When the conditions are met, the normal approximation can be a useful tool for simplifying calculations and making inferences. However, when dealing with small sample sizes, extreme values, or distributions that deviate significantly from normality, alternative methods or distributions may be more appropriate.

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Answer:

40" by 50"

Step-by-step explanation:

From inspection of the diagram,

height of 2 squares of the quilt ≈ height of doll plus a little bit

⇒ height of 2 squares of the quilt ≈ 18 + 2 = 20 in

⇒ height of 1 square of the quilt ≈ 20 ÷ 2 = 10 in

As the height of a square = width of a square

⇒ width of 1 square of the quilt ≈ 10 in

Dimensions of the quilt

width = 4 squares = 4 × 10 = 40 in

height = 5 squares = 5 × 10 = 50 in

Ratios

We can also work out the width and height by using ratios.

The ratio of width to height of the quilt = 4 squares : 5 squares

If we multiply by 10, the ratio becomes 40 : 50

Final Solution

40" by 50"

Answer:

450 freshman would have internet access

Answer:

450

Step-by-step explanation:

750 student is 100% of highschool freshman so

let x be how may would be expected

x/750=60%/100%

750*60=100*x

45000=100x

x=450

Answer:

4

Step-by-step explanation:

A dozen (commonly abbreviated doz or dz) is a grouping of twelve, 12.

So each dozen has 12 eggs.

First dozen, egg left is 1/6 × 12 = 2

Second dozen, egg left is 2/12 × 12 = 2

Total eggs were left over is 2+2=4

Answer:

150 km squared

Step-by-step explanation:

5*1.5=7.5

4*5=20

7.5*20=150

Answer:

150km²

Step-by-step explanation:

1.5 x 5 = 7.5

4 x 5 = 20

20 x 7.5 = 150

Answer:

A i think

Step-by-step explanation:

Based on the given information about the acf for the gap sales. The statement "there is clear evidence in the acf that there is a strong trend in the data" is correct. so, the correct option is A).

The given statement is correct as the autocorrelation function (ACF) measures the correlation between a time series and its lagged values. If there is a strong trend in the data, it will be reflected in the ACF as a significant correlation at lag 1 and beyond. Therefore, a clear evidence of a strong trend in the data can be observed in the ACF.

However, the other answer choices cannot be determined from the information provided. There is no information provided regarding seasonality or the stationarity of the data, and the information provided is not sufficient to determine whether the data has fallen in the last 12 periods. so, the correct answer is A).

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Answer:

G.$3.15

Step-by-step explanation:

Step 1-

The estimate for the given situation for the amount is $35, the sales tax of the stuffed elephant is:

=35 x 0.09 -  Multiply by the decimal 9%

=$3.15 - Multiply the values

Result- G.$3.15

Answer:

60 minutes / An hour

Step-by-step explanation:

Since 3 feet are in a yard, there are 300 feet in 100 yards. (100x3)

Sloths move only 5 feet per minute, 300/5 is 60.

The required minutes that would take a sloth to walk across a 100-yard football field is 20 minutes.

Given that,
Sloths only move about 5 feet per minute, how many minutes would it take a sloth to walk across a 100-yard football field is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
1 yard = 3 foot
100 yard = 300 foot

Now,
Minutes would take a sloth to walk across a 100-yard football field,
= 100 / 5
= 20 minutes

Thus, the required minutes that would take a sloth to walk across a 100-yard football field is 20 minutes.

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Answer:

If you multiply 6 by an even number, it will end in the same digit. For example, 6 x 4 = 24, so 4 and the 4 in 24 are the same. The number in the tens place will be half the number in the ones place, so the 2 in 24 is half of 4

The line which have a steeper slope is Line 1.

It is given in the question that the points on the line are given by:-

Line 1: (0,-4) and (2,2)

Line 2:(0,-4) and (4,5)

We have to find which line has a steeper slope.

First we will find the slope of each line.

We know that slope of a line with points (a,b) and (c,d) is given by:-

(d-b)/(c-a)

Slope of Line 1:

(2-(-4))/(2-0) = 6/2 = 3

Slope of Line 2:

(5-(-4))/(4-0) = 9/4 = 9/4 = 2.25

We know that greater the slope of the line means greater the steep of the line.

As,

3 > 2.25

Hence, Line 1 is steeper than Line 2.

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Answer: I am pretty sure it is a rational number!

Step-by-step explanation: