A student's dormitory room number is an example of a quantitative variable. either a quantitative or a categorical variable. a categorical variable. an exchange variable.

Word form One hundred three and five hundred three thouandth

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Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

Given Equation of line: y=mx+c,

where m = slope of line.

So, we will have to make y the subject to find the slope.

\(2x-3y=19\\2x-3y-2x=19-2x\\-3y=-2x+19\\y=\frac{-2x+19}{-3} \\y=\frac{2}{3} x-\frac{19}{3}\)

From here, we can see the slope of the line is \(\frac{2}{3}\).

Answer: 2/3

Step-by-step explanation:

2x-3y=19

minus 2x from both sides

-3y=-2x+19

divide both sides by -3

y=2/3x-19/3

slope is 2/3

Answer:

c

yes divided by yes by the yes factor = yes, it is c

Answer:

x=3 or x=5

Step-by-step explanation:

The answer is where the graph line curve cuts the x-axis (the horizontal line)

it cuts at 3 and 5

Answer:

x=47

Step-by-step explanation:

because the total angles for the triangle are 180

so 31+102=133

so 180-133= 47

there are six possibilities , the probability of rolling an odd no. is 3 so

\( \frac{3}{6} = \frac{1}{2} \)

please mark me as brainliest

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

7.36 an hour

Step-by-step explanation:

If she earns that much for 18 h, divide the amount she makes in 18 h by 18 parts because 18h/18 = 1 h. If done properly, you will get $7.36.

Answer:

wanna hear a dirty joke?

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

look below

hqhhahahahahahahahhaha

A Voronoi diagram is a division of a plane into areas near each of a given set of objects in mathematics. These things are just infinitely many points in the plane in the simplest scenario (called seeds, sites, or generators). There is a region, known as a Voronoi cell, for each seed that is made up of all points in the plane that are closer to that seed than to any other point. A set of points' Voronoi diagram and Delaunay triangulation are identical.

We are aware that any intersection of half-planes results in a convex region bordered by a collection of linked line segments. Voronoi edges are the line segments that define the limits of Voronoi regions. These edges' termini are known as Voronoi vertices.

Voronoi diagram:

A Voronoi diagram in mathematics is a division of a plane into areas near to each of a given set of objects. These things are simply infinitely many plane points in the most basic scenario (called seeds, sites, or generators).

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Answer:

x= -3,      x = 1

Step-by-step explanation:

Zeros are values of x, when f(x) = 0.

0=(x+3)(x-1)

x+3 = 0,  x - 1=0

x= -3,      x = 1

Answer:

x = -3, x = 1

Step-by-step explanation:

To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.

In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.

As such, these are your solutions.

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Hey! So look at 18 on the left-hand side. Then, look at the inches. Also, note that A is the exact same as the graph! Therefor, your answer is A!

Have a great day!

Brainliest please!

Hope this helps friend!

The total weight of the liquid in the tank, to the nearest full pound, is calculated to be 3,012 pounds.

The volume of a hemisphere with diameter 6 feet is (2/3) x π x (6/2)³ = 56.55 cubic feet.

The weight of the liquid in the tank can be found by multiplying the volume of the liquid by its density:

Weight = Volume x Density = 56.55 x 53.3 = 3,012.32 pounds.

Rounding this to the nearest full pound gives a total weight of 3,012 pounds. Therefore, the total weight of the liquid in the tank is 3,012 pounds (to the nearest full pound).

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Answer:

3014

Step-by-step explanation:

I just did it

Answer:

Yes me too! Except I watch movies because I have a feeling they won't be there tomorrow lol

Step-by-step explanation:

The amount of principal after one month would be B. 72. 67.

In order to ascertain the amount of principal after one month, we must compute both the interest and principal segments of the initial monthly payment.

Initially, let us derive the sum for the first month's interest. The yearly rate of interest culminates to 19%; thus, applying the relevant mathematical formula leads to determination of the ensuing monthly interest rate:

= 19 % / 12

=  0. 015833

The interest portion on the payment is:

= 1, 800 x 0. 015833

= $ 28. 50

The principal is therefore:

= 101. 06 monthly payment - 28. 50

= $ 72. 67

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Answer:

numerator - the number above the fraction line; tells how many parts of the whole exist

mixed number - a number with an integer part and a fraction part

denominator - the number under the fraction line; tells how many equal parts the whole was broken into

common fraction - a fraction with a whole number for the numerator and a whole number other than zero for the denominator

like denominators - two fractions with the same denominator

improper fraction - a fraction in which the numerator is larger than the denominator

We operate as follows:

**First problem:

*We divide the total number of messes by the value of the sum of the ratio.

391 / (14 + 9) = 17

After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:

17 * 14 = 238

So, we can expect 238 Gooey messes.

**Second problem:

*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:

So, we would expect 551, not purple yogi berries.

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Answer:

Cube root of 8/27 is 2/3

\( \sqrt{ \frac{8}{27} } \)

\( = \sqrt{ (\frac{2}{3} {)}^{2} } \)

\( = \frac{2}{3} \)

Answer:

\(\huge\boxed{\text{Multiply the denominator by 2, or}}\\\\\huge{\boxed{\text{divide the percentage by 2}}}}\)

Step-by-step explanation:

Because there is no fraction or percentage given, simply follow this rule to divide a portion by 2.

Hope it helps :) and let me know if you want me to elaborate(solve with fraction)

When a sample is taken from a population, it is important to understand the characteristics of both the sample and the population. In this scenario, the sample size is 36, meaning that 36 individuals or data points were randomly selected from the larger population.

The population mean is 50, which tells us the average value of the population data. The standard deviation of the population is 5, which indicates the degree of variability in the data.

Using the information provided, we can calculate the standard error of the mean (SEM), which is the standard deviation of the sample mean. The formula for SEM is:

\(SEM = population standard deviation / square root of sample size\)

SEM = 5 / square root of 36

SEM = 5 / 6

SEM = 0.83

Therefore, the standard error of the mean for this sample is 0.83. This means that if we were to take many samples of size 36 from this population, we would expect the mean of each sample to be within 0.83 units of the true population mean of 50.

It is important to note that while this sample may give us some insight into the characteristics of the larger population, it is not necessarily representative of the entire population. To increase the accuracy of our findings, we would need to take multiple random samples and calculate the means and standard errors of each sample.

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Given:

The function is:

\(y=2x^2+3x\)

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

\(y=2x^2+3x\)

Substituting \(x=-2\), we get

\(y=2(-2)^2+3(-2)\)

\(y=2(4)+(-6)\)

\(y=8-6\)

\(y=2\)

Substituting \(x=-1\), we get

\(y=2(-1)^2+3(-1)\)

\(y=2(1)+(-3)\)

\(y=2-3\)

\(y=-1\)

Substituting \(x=0\), we get

\(y=2(0)^2+3(0)\)

\(y=0+0\)

\(y=0\)

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).

Answer:

B. Good

Step-by-step explanation:

26-35 age group:

Excellent - 33/97

Good - 50/97

Average - 5/97

Poor - 9/97

The 96% confidence interval for the difference in proportions is (−0.1127, 0.3191)

To compare the proportions of success in two binomial experiments, we can use the two-sample Z-test.

Let p1 be the proportion of success in the first experiment and p2 be the proportion of success in the second experiment. We want to test the null hypothesis H0: p1 = p2 against the alternative hypothesis Ha: p1 ≠ p2.

First, we calculate the point estimate of the difference in proportions:

\(pp1 - p2 = \frac{54}{94} - \frac{40}{63} = 0.1032\)

Next, we find the critical value of the test statistic. Since the confidence level is 96%, we have alpha = 0.04/2 = 0.02 on each tail of the distribution. Using a standard normal distribution table, we find that the critical values are ±2.0537.

The margin of error is given by:

\(ME= z \sqrt{\frac{p1(1-p1)}{n1} +\frac{p2(1-p2)}{n2} }\)

where z* is the critical value, n1 and n2 are the sample sizes of the two experiments. Plugging in the values, we get:

\(ME= z \sqrt{\frac{0.5769(1-0.5769)}{94} +\frac{0.6349(1-0.6349)}{63} }= 0.2159\)

Finally, we can construct the confidence interval for the difference in proportions as:

(p1 - p2) ± ME

which gives us:

0.1032 ± 0.2159

Thus, the 96% confidence interval for the difference in proportions is (−0.1127, 0.3191).

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Option B : Gelo bought a wallet for PHP 250 with a 12% discount and a belt for PHP 230 with a 25% discount. Gelo paid a total of PHP 392.50 for both items.

First, we need to calculate the amount of the discount for the wallet and the belt. The discount for the wallet is 250 * 12/100 = 30. The discount for the belt is 230 * 25/100 = 57.5.

Next, we subtract the discount from the original price to find the amount paid for each item. The amount paid for the wallet is 250 - 30 = 220. The amount paid for the belt is 230 - 57.5 = 172.5.

Finally, we add up the amount paid for both items to find the total amount paid: 220 + 172.5 = 392.5.

Therefore, Gelo paid a total of 392.5, so the correct answer is (b) PHP 392.50.

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Option B : Gelo bought a wallet for PHP 250 with a 12% discount and a belt for PHP 230 with a 25% discount. Gelo paid a total of PHP 392.50 for both items.

First, we need to calculate the amount of the discount for the wallet and the belt. The discount for the wallet is 250 * 12/100 = 30. The discount for the belt is 230 * 25/100 = 57.5.

Next, we subtract the discount from the original price to find the amount paid for each item. The amount paid for the wallet is 250 - 30 = 220. The amount paid for the belt is 230 - 57.5 = 172.5.

Finally, we add up the amount paid for both items to find the total amount paid: 220 + 172.5 = 392.5.

Therefore, Gelo paid a total of 392.5, so the correct answer is (b) PHP 392.50.

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Answer:

24

Step-by-step explanation:

let x be the number of children in the class , then

number of boys = \(\frac{1}{4}\) x , so

x = \(\frac{1}{4}\) x + 18 ( multiply through by 4 to clear the fraction )

4x = x + 72 ( subtract x from both sides )

3x = 72 ( divide both sides by 3 )

x = 24

There are 24 children in the class

The 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

To find the 98% confidence interval for the true mean noise level, we can use the formula:

CI = mean ± Z * (σ / sqrt(n))

Where:

CI is the confidence interval,

mean is the sample mean,

Z is the z-score corresponding to the desired confidence level,

σ is the population standard deviation,

n is the sample size.

In this case, we have:

mean = 56.5 (sample mean)

σ = 3.5 (population standard deviation)

n = 180 (sample size)

Confidence level = 98%

First, we need to find the z-score corresponding to a 98% confidence level. The remaining 2% is split equally between the two tails of the distribution, so we have 1% in each tail. We can find the z-score using a standard normal distribution table or a graphing calculator. For a 98% confidence level, the z-score is approximately 2.33.

Now we can calculate the confidence interval:

CI = 56.5 ± 2.33 * (3.5 / sqrt(180))

CI = 56.5 ± 2.33 * (3.5 / 13.416)

CI = 56.5 ± 2.33 * 0.261

CI = 56.5 ± 0.607

CI ≈ (55.9, 57.1)

Therefore, the 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

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The assumption being made in the calculation is that the two gauges are independent, which is not justified since both gauges are subject to the same potential cause of failure. The probability of 0.0001 is likely too low.

The assumption made in this calculation is about the failure of one gauge is independent of the failure of the other gauge. This assumption is probably not justified in the present case because the two gauges are connected to the same electric cables, and if a fire destroys the cables, both gauges will fail simultaneously.

The probability of 0.0001 is likely to be too low because the assumption of independence is violated, and the probability of both gauges failing simultaneously is likely to be higher than the product of their individual failure probabilities.

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If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams

Half life of radio active element = 8 minutes

Initial quantity of radio active element = 450 gram

Final quantity of radio active element = 37 grams

y = a(0.5)^(t/h)

Substitute the values in the equation

37 = 450 (0.5)^(t/8)

Move 37 to left hand side of the equation

37 / 450 = 0.5^(t/8)

Convert the terms to logarithm

t/8 = \(log_{0.5}\frac{37}{450}\)

t/8 = 3.60

t = 8 × 3.60

Multiply the numbers

t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams

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Answer:

B= 3xy

Step-by-step explanation:

6xy^3= 2ₓ3ₓ x ₓyₓyₓy

9x^2y= 3ₓ3ₓ x ₓ x ₓ y

common factors = 3, x , y

HCF:  3 ₓ x ₓ y

     =3xy