what is the value of x?

The linear relation y = |2x - 5| is a function which has it's domain along     (-∞, ∞) and it's range at [0, ∞)

A linear relation is a relationship between two variables (x and y) in which the points, when plotted on a graph, form a straight line. This means that for a given change in the independent variable (x), there will be a corresponding, predictable change in the dependent variable (y).

In this given relation, we can graph the absolute function and determine it's range and domain.

Using a graphing calculator;

y = |2x - 5|

The x-intercept of the relation is 2.5 and it's y-intercept is 5

The domain of the relation is (-∞, ∞)

The range of the relation is [0, ∞)

The relation y = |2x  5| is a function which is known as an absolute function

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This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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The probability that the first republican you find is the 4th voter in line is 12.25%.

In the gievn question, the probability in your area that a voter is a republican is 0.35.

We have to find the probability that the first republican you find is the 4th voter in line.

The probability of a voter is a republican is 0.35.

The first republican we find is the 4th voter in line is

=0.35*0.35

Now multiplying;

=0.1225

To convert in percentage multiply and divide by 100.

We get

=12.25%

Hence, the probability that the first republican you find is the 4th voter in line is 12.25%.

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Answer:

Y=-1/4x+2

Step-by-step explanation:

The graph that shows the proportional relationship y = 0.7x is Graph A.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, 7 out of 10 customers preferred the restaurants new spaghetti sauce, hence the constant is given by:

k = 7/10 = 0.7.

And the equation is:

y = 0.7x.

When x = 0, y = 0, which already eliminates graphs C and D. When x = 10, y = 7, which means that Graph A is the answer to this question.

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Answer:

\(\int\limits^1 _\frac{1}{2} {\frac{-1}{u} } \, du\)

General Formulas and Concepts:

Pre-Algebra

Calculus

Step-by-step explanation:

Step 1: Define

\(\int\limits^\frac{-\pi}{2} _\frac{-2\pi}{3} {\frac{sin(x)}{1+cos(x)} } \, dx\)

Step 2: Evaluate

Step 3: Evaluate Further

Answer:

1/6

Step-by-step explanation:

13/18 - 5/9

We need to get a common denominator, 18 , for the fractions.

5/9 * 2/2 = 10/18

Replace 5/9 with 10/18

13/18 - 10/18

Subtract.

3/18

Simplify by dividing the top and bottom by 3

1/6

Using the Empirical Rule, it is found that the standard deviation of the sample is of:

C. 4

By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, that is, between 2 standard deviations below the mean and 2 standard deviations above the mean.

95% of people's heights are between 168 and 184 centimeters, hence, there are 4 standard deviations between 168 and 184 centimeters. Then:

\(4s = 184 - 168\)

\(4s = 16\)

\(s = \frac{16}{4}\)

\(s = 4\)

Hence, option C is correct.

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The mean of the fitted exponential distribution is 66.67.

To find the mean of the fitted exponential distribution, we first need to estimate the parameter lambda using maximum likelihood estimation.

The probability density function of the exponential distribution is given by

f(x; lambda) = lambda * exp(-lambda * x)

where x is the claim size and lambda is the parameter to be estimated.

The likelihood function for the observed data is the product of the individual probabilities of each claim

L(lambda) = lambda^n * exp(-lambda * sum(x_i))

where n is the number of observed claims and x_i is the i-th claim size.

The log-likelihood function is given by:

ln L(lambda) = n * ln(lambda) - lambda * sum(x_i)

To estimate the parameter lambda, we need to maximize the log-likelihood function with respect to lambda:

d/d(lambda) ln L(lambda) = n/lambda - sum(x_i) = 0

Solving for lambda, we get

lambda = n / sum(x_i)

Substituting the observed values, we get

lambda = 6 / (20 + 45 + 50 + 80 + 100 + 2*100) = 0.015

Therefore, the estimated parameter of the fitted exponential distribution is lambda = 0.015.

The mean of the exponential distribution is given by

E(X) = 1/lambda

Substituting the estimated value of lambda, we get

E(X) = 1/0.015 = 66.67

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Answer C Right Isosceles Triangle

Step-by-step explanation:

Do it

Answer: C

Step-by-step explanation:

It has a 90 degree angle, right triangle, and both legs in the triangle seem to be the same size, so it's also isosceles.

Answer:

length: 7in.

width: 5in.

Step-by-step explanation:

so we know that 7*5 is 35 yes? since we already know the area, which is just l*w, and that 5 is two less that 7, we can conclude that the length is 7 and the width 5

hope this helps! lemme know if you need more

Answer:

The red marbles.

Step-by-step explanation:

It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Answer:

lolololololololoolololo

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

45 minutes

Step-by-step explanation:

75% is the same as \(\frac{3}{4}\). This means that we can multiply 60 by  \(\frac{3}{4}\) to find 75% of 60.

\(60*\frac{3}{4} \\\\\frac{180}{4} \\\\\frac{90}{2}\\\\45\)

Answer:

45 minutes

Step-by-step explanation:

Of means multiply

75% * 60

Change to a decimal

.75 * 60

45

45 minutes

Answer:

27/137

Step-by-step explanation:

They multiply by 3 every time. The next would be:

9*3/137=27/137

Step-by-step explanation:

Let the number be x

160% of x=144

\(160x \div 100 = 144\)

then we cross multiply

\(160x = 100 \times 144\)

\(160x = 14400\)

divide both sides by 160

\(160x \div 160 = 14400 \div 160\)

\(x = 90\)

therefore the number is 90

Answer:

B- The volume of the basketball when the radius is r

Step-by-step explanation:

I took the 10 question test

Answer:

b

Step-by-step explanation:

b

Answer:

28 quart jars

Step-by-step explanation:

We know that there are 4 quarts in a gallon.

7 gallons * 4 quarts/gallon = 28 quarts

She needs 28 quart jars

Answers:

Emmanuel had worked for   52   minutes

and had added    416     links

================================================

Explanation:

x = number of minutes Emmanuel has worked

y = number of links in the chain mail

Since Allesia started 20 minutes after Emmanuel, this means that she has worked for x-20 minutes (i.e. 20 minutes less time compared to x).

The equation for Emmanuel is

y = 8x

because he adds 8 links per minute.

Meanwhile, Allesia adds 13 links per minute and has worked for x-20 minutes. So her equation is

y = 13(x-20)

For each equation set up, I'm using the idea that

amount done = (rate)*(number of minutes)

It's similar to the distance=rate*time equation

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

To find out when they'll have same amount done, we set the two right hand sides equal to one another. Then solve for x.

8x = 13(x-20)

8x = 13x-260

8x-13x = -260

-5x = -260

x = -260/(-5)

x = 52

Emmanuel had worked for 52 minutes and has added y = 8x = 8*52 = 416 links.

Allesia started 20 minutes later, so she works for 20 minutes less time. She works for x-20 = 52-20 = 32 minutes and does so at a rate of 13 links per minute. She has 13*32 = 416 links as well. Both people have the same number of links to confirm our answers.

The recursive formula for an, the nth term of the sequence is a(n) = a(n - 1) * 2 where a(1) = -1

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

-1, -3, -9, -3³ ...

The above definitions imply that we simply multiply 3 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a(n) = a(n - 1) * 3

Where

a(1) = -1

Hence, the sequence is a(n) = a(n - 1) * 2 where a(1) = -1

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The difference between the experimental probability of getting three heads and its theoretical probability is 11/40.

To find the difference between the experimental probability and the theoretical probability of getting three heads when tossing three coins simultaneously, we need to calculate both probabilities and subtract them.

The theoretical probability is determined by considering all possible outcomes and their likelihood.

When tossing three coins, there are 2³ = 8 possible outcomes since each coin can land either heads or tails.

Out of these 8 outcomes, only one outcome results in three heads.

The theoretical probability of getting three heads is therefore 1/8.

The experimental probability is determined by conducting the actual experiment and recording the observed outcomes.

The experiment was carried out 100 times, and three heads occurred 40 times.

The experimental probability of getting three heads is therefore 40/100 or 2/5.

To find the difference between the experimental probability and the theoretical probability, we subtract the theoretical probability from the experimental probability:

Experimental probability - Theoretical probability = 2/5 - 1/8

To simplify this fraction, we need to find a common denominator:

2/5 - 1/8 = (16/40) - (5/40)

= 11/40

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Option B: The probability distribution of all x values calculated from all possible samples of size n is the correct answer.

What is probability?

Probability is a fundamental concept in statistics and mathematics that helps to measure the likelihood or chance of an event occurring. It provides a way to quantify uncertain events or situations and make informed decisions based on that information. The probability of an event can range from 0 to 1, with 0 indicating impossibility and 1 representing certainty.

When dealing with a sample mean, the sampling distribution refers to the probability distribution of all possible sample means of a given sample size taken from a population.

It is a theoretical distribution that shows all possible sample means that could be obtained from the population, and is a crucial tool in statistical analysis and inference.

Therefore, the correct answer is -

Option B: the probability distribution of all x values calculated from all possible samples of size n.

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Answer: variability between means increases relative to the variability within groups

Step-by-step explanation:

The formula to calculate F-ratio : variance between groups divided by variance within groups

Here, F-ratio \(\propto\) is proportional to variance between groups but inversely proportional to variance within groups .

So, F-ratio increases when variability between means increases relative to the variability within groups.

Answer:

A.

Step-by-step explanation:

Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.

Answer:

Matt can buy the hamburger and fries (a), chicken fajitas (b), or pork chops with baked potato and leave his tip for less than $20.

Step-by-step explanation: