Find the perimeter or circumference and area of each figure. Round to the nearest hundredth.

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (- 12, - 3)

m = \(\frac{-3+3}{-12+8}\) = \(\frac{0}{-4}\) = 0

Slope is rise per run. Rise is difference of y ordinates and run is difference of corresponding x abscissa.

The slope of the line that passes through the given points is 0

Slope of the line that passes through given points.

In graphing, we use Cartesian plane and assume y axis to be perpendicular and mostly we take height or depth related stuffs on y axis, that's why y ordinates will be considered to calculate the rise and x axis is like flat ground, thus x abscissa will be used to calculate the run.

Let the points' coordinates are denoted by symbols as:

\((x_1, y_1) = (-8,-3)\\ (x_2, y_2) = (-12, -3)\\ \)

\(slope = \dfrac{rise}{run} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-3) - (-3)}{(-12)-(-8)} = \dfrac{0}{-4} = 0\)

Slope is zero means you run whatever, the rise is 0, which means the line is not going to rise and stay flat (horizontal).

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Answer:

Step-by-step explanation:

Let us first make the denominators equal, so

600 x 700 = 420000

\(\frac{480}{600} * \frac{700}{700} \\\\= \frac{336000}{420000}\)

Similarly,

\(\frac{560}{700} * \frac{600}{600} = \frac{336000}{420000}\)

By comparison, both of them are equal.

Hope It Helps!

Answer:

$9802.90

Step-by-step explanation:

$9802.90

Step-by-step explanation:

17.4%  = 0.174

So retail price = 8,350 + 8,350 * 0.174

= $9802.90

Answer:i think its 115 degres

Step-by-step explanation:

Answer:uyuy uy

the rang is 5 times 6 is 9 the rang is 5 times 6 is 9 the rang is 5 times 6 is 9

Step-by-step explanation:

Step-by-step explanation:

x + x+1 = 941

2x + 1 = 941

2x = 940

x = 470

but the question is wrong or cannot be answered bad in the given information.

the question sounds be : what are the page numbers ?

the answer : 470 and 471.

but "how many pages does the book have" cannot be answered.

the book could have 471 pages. but also 2000. or 4000. or, or, or...

it does not change anything about the relationship of the pages 470 and 471. and there is therefore no way to know the total number of pages of the book just by knowing that there are pages 470 and 471.

Answer

10

Step-by-step explanation:

salamander:frog

6:7

start by setting up the ratios as fractions and using x as the variable.

\(\frac{6}{7}\)=\(\frac{9}{x}\)

next cross multiply.

6x=63

x=10 i believe

1. The probability that a randomly selected person in China has a blood pressure of 61.1 mmHg or more is 0.0019. 2. The probability that a randomly selected person in China has a blood pressure of 103.9 mmHg or less is 0.1421. 3. The probability of the blood pressure being between 61.1 and 103.9 mmHg is approximately 0.1402. 4. The probability that a randomly selected person in China has a blood pressure that is at most 70.5 mmHg is 0.0055. 5. The 72% of all people in China have a blood pressure of less than 140.82 mmHg.

To solve these probability questions, we'll use the Z-score formula:

Z = (X - μ) / σ,

where:

Z is the Z-score,

X is the value we're interested in,

μ is the mean blood pressure,

σ is the standard deviation.

1. Find the probability that a randomly selected person in China has a blood pressure of 61.1 mmHg or more.

To find this probability, we need to calculate the area to the right of 61.1 mmHg on the normal distribution curve.

Z = (61.1 - 128) / 23 = -2.913

Using a standard normal distribution table or calculator, we find that the probability associated with a Z-score of -2.913 is approximately 0.0019.

So, the probability that a randomly selected person in China has a blood pressure of 61.1 mmHg or more is 0.0019.

2. Find the probability that a randomly selected person in China has a blood pressure of 103.9 mmHg or less.

To find this probability, we need to calculate the area to the left of 103.9 mmHg on the normal distribution curve.

Z = (103.9 - 128) / 23 = -1.065

Using a standard normal distribution table or calculator, we find that the probability associated with a Z-score of -1.065 is approximately 0.1421.

So, the probability that a randomly selected person in China has a blood pressure of 103.9 mmHg or less is 0.1421.

3. Find the probability that a randomly selected person in China has a blood pressure between 61.1 and 103.9 mmHg.

To find this probability, we need to calculate the area between the Z-scores corresponding to 61.1 mmHg and 103.9 mmHg.

Z₁ = (61.1 - 128) / 23 = -2.913

Z₂ = (103.9 - 128) / 23 = -1.065

Using a standard normal distribution table or calculator, we find the area to the left of Z1 is approximately 0.0019 and the area to the left of Z₂ is approximately 0.1421.

Therefore, the probability of the blood pressure being between 61.1 and 103.9 mmHg is approximately 0.1421 - 0.0019 = 0.1402.

4. Find the probability that a randomly selected person in China has a blood pressure that is at most 70.5 mmHg.

To find this probability, we need to calculate the area to the left of 70.5 mmHg on the normal distribution curve.

Z = (70.5 - 128) / 23 = -2.522

Using a standard normal distribution table or calculator, we find that the probability associated with a Z-score of -2.522 is approximately 0.0055.

So, the probability that a randomly selected person in China has a blood pressure that is at most 70.5 mmHg is 0.0055.

5. To find the blood pressure at which 72% of all people in China have less than, we need to find the Z-score that corresponds to the cumulative probability of 0.72.

Using a standard normal distribution table or calculator, we find that the Z-score corresponding to a cumulative probability of 0.72 is approximately 0.5578.

Now we can use the Z-score formula to find the corresponding blood pressure (X):

Z = (X - μ) / σ

0.5578 = (X - 128) / 23

Solving for X, we have:

X - 128 = 0.5578 * 23

X - 128 = 12.8229

X = 140.8229

Therefore, 72% of all people in China have a blood pressure of less than 140.82 mmHg.

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The complete question is:

According to the WHO MONICA Project the mean blood pressure for people in China is 128 mmHg with a standard deviation of 23 mmHg. Assume that blood pressure is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000.

1. Find the probability that a randomly selected person in China has a blood pressure of 61.1 mmHg or more.

2. Find the probability that a randomly selected person in China has a blood pressure of 103.9 mmHg or less.

3. Find the probability that a randomly selected person in China has a blood pressure between 61.1 and 103.9 mmHg.

4. Find the probability that randomly selected person in China has a blood pressure that is at most 70.5 mmHg.

5. What blood pressure do 72% of all people in China have less than? Round your answer to two decimal places in the first box.

Answer: Better write in details next time dude

Step-by-step explanation:

Let's assume that x is the cost of each CD in dollars. If you buy n CDs at that price, then the total cost C in dollars can be calculated as:

C = nx

We know that you spent $46, so we can set this equal to 46:

C = 46

Substituting nx for C, we have:

nx = 46

Now we can solve for x:

x = 46/n

This equation gives us the cost of each CD in dollars as a function of the number of CDs purchased. If we know the number of CDs purchased, we can plug it into this equation to find the cost of each CD. If we don't know the number of CDs purchased, we can't find the cost of each CD without more information.

The statement is True. To construct a confidence interval about the mean, the population from which the sample size is drawn must be approximately normal.

This assumption is necessary to ensure that the sampling distribution of the sample mean is also approximately normal, which is a key assumption underlying many statistical tests and confidence interval constructions.

However, suppose the sample size is large enough (usually at least 30). In that case, the central limit theorem may allow for constructing a confidence interval about the mean even if the population is not normal.

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Answer:

Step-by-step explanation:

Proportional relationship equation:

Use the given point (3, 1) to find the value of k:

Answer:

k = 1/3

Step-by-step explanation:

Now we have to,

→ find the constant of proportionality.

Formula we use,

→ y = kx

The constant of proportionality is,

→ y = kx

→ 1 = k × 3

→ 3k = 1

→ [ k = 1/3 ]

Hence, required answer is 1/3.

Answer:

\(-\frac{1}{3}\) is the slope

Step-by-step explanation:

Slope intercept form: \(y=-\frac{1}{3}x+\frac{10}{3}\)

Answer:

\(5 \sqrt{8}\)

The equation for the line passing through P and parallel to line m is y - 4 = 0.

An equation is a mathematical statement that expresses the equality of two expressions, usually involving unknowns or variables. An equation typically uses an equals sign ("=") to denote the relationship between two expressions. Equations are used to solve problems in many areas of mathematics, including algebra, calculus, and geometry.

The equation for the line passing through P and parallel to line m is y - 4 = 0 (m), where m is the slope of line m. This equation is in slope-intercept form and can be used to represent the line passing through P and parallel to line m.

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Answer:

x=2, y=1

Step-by-step explanation:

4x+8y=16

4x-8y=0

Add the two equations together:

8x=16

Divide both sides by 8:

x=2

Plug this back into one of the original equations to find y:

4(2)-8y=0

8-8y=0

y=1

Hope this helps!

Answer:

x, y = (0, 0)

Step-by-step explanation:

photo math broo

Answer:

p=1

Step-by-step explanation:

message me para sa explanation mahaba haba Kasi

The solution to the given equation p - 1 = 5p + 3p - 8 is p=1, which is determined by using arithmetic operations.

The equation is given as follows:

p - 1 = 5p + 3p - 8

To solve the equation p - 1 = 5p + 3p - 8, we need to simplify and combine like terms.

Starting with the left side of the equation, p-1, we have a single term.

On the right side, we have two terms, 5p and 3p, which can be combined to give us 8p.

Now, our equation becomes p-1=8p-8.

To isolate the variable p, we want to get all terms with p on one side of the equation. We can do this by subtracting 8p from both sides, which gives us:

-7p - 1 = -8

Next, we want to isolate the term with p by adding 1 to both sides:

-7p = -7

Finally, we can solve for p by dividing both sides of the equation by -7, giving us p = 1.

Therefore, the solution to the equation p - 1 = 5p + 3p - 8 is p=1.

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Answer:

c

Step-by-step explanation:

took test

Answer:

They should bring 30 gallons

Step-by-step explanation:

Brainliest please :)

The y-intercept of a function happens when the function "cuts" the y-axis.

This can be calculated as the value of the function f(x) when x=0.

Then, if we replace x by 0, we get the y-intercept:

The y-intercept for this function is f(0)=18.

Answer:

30% gain

Step-by-step explanation:

$30 for 10 = $3 each

$46.80 for 12 = $3.9 each

percentage change = (final price- initial price)/inital price  *100

3.9-3 = 0.9

0.9/3 = 0.3

0.3 x 100 = 30

so gain of 30%

Answer: 229,500 people to the nearest hundred

Step-by-step explanation:

Population decreases exponentially at 1.7% per year in a town that is currently 250,000 in number.

Population in 5 years = 250,000 * ( 1 - 1.7%) ⁵

= 250,000 * 0.917841286185143‬

= 229,460

= 229,500 people to the nearest hundred

The value of the variables are a = 1 and b = -1

Given that the equations are;

a - 3 = 2b

4a + 5b- 8 = 0

Using the substitution method, we have;

Make 'a' the subject of formula from equation (1)

a = 2b + 3

Now, substitute the value of the variable in the second equation

4(2b + 3) + 5b - 8 = 0

expand the bracket, we have;

8b + 12 + 5b - 8 = 0

collect the like terms, we get;

8b + 5b = 0 - 5

add or subtract the values

5b = -5

b = -1

Substitute the value of b as =-1

a = 2(-1) +3

expand the bracket

a = -2 + 3

a = 1

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Answer:

Step-by-step explanation:

Here, we want to graph the given equations

1. y = 2x - 3

The general form of the equation of a straight line is;

y = mx + b

m is the slope and b is the y-intercept

To plot the line, we need the x intercept and the y-intercept

At the x-intercept, the value of y is zero

at the y-intercept . the value of x is zero

From the equation, we have the y-intercept as -3

To get the x-intercept, set y = 0

0 = 2x - 3

2x = 3

x = 3/2

x = 1.5

so to graph the line, we have to join the points ;

(0,-3) and (1.5,0)

b) y = -3x + 2

The y-intercept is 2

To get the x intercept, set y = 0

0 = -3x + 2

3x = 2

x = 2/3

so, we have to join the points (2/3,0) and (0,2)

We have the lines plotted as an attachment

The probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

Given that the laptop is usable, we need to assess the probability that it has been tested. Let T stand for the laptop's testing event and F stand for the laptop's functioning event. The probability of T given F is what we are looking for next, or P(T|F).

The Bayes theorem can be used to determine P(T|F):

P(T|F) = P(F|T) * P(T) / P(F)

where P(F|T) is the probability that a laptop will be tested (which is 0.95), P(T) is the likelihood that a laptop will be tested, and P(F) is the likelihood that a laptop will be functional (which is the total of the likelihoods of being functional and defective, i.e., 0.95 + 0.05 = 1).

Using the conditional probability formula, we can determine P(F|T):

P(F|T) = P(F and T) / P(T)

Since 95% of the laptops produced are tested and determined to be functional, we know that the probability of a laptop being functional and tested is 0.95.

Therefore:

P(F|T) = 0.95 / 0.95 = 1

Substituting into Bayes' theorem:

P(T|F) = 1 * 0.95 / 1 = 0.95

Therefore, the probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

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Answer:

the length is 4 ft longer than the height

Step-by-step explanation:

Answer:

KitKat

Step-by-step explanationKitKat

The probability that a sample of 130 steady smokers spend between $19 and $21 by using normal probability distribution is 0.897.

The probability distribution that would be symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

The formula for normal probability distribution is-

z = (x - μ)/σ

where is the z is the standard normal variate or z-score.

x is the range of the values. ( = 19 to 21)

μ is the mean. (=20)

σ is the standard deviation. (=7)

n is sample size = 130

How likely it is that a sample of 130 regular smokers will spend within $19 and $21?

This is the result of subtracting the pvalue of Z when X = 19 from of the p-value for Z when X = 21.

By central limit theorem;

s = σ/√n

s = 7/√130

s = 0.61

So,

When x = 21

z = (21 - 20)/0.61

z = 1.63  ( p-value of 0.948 taken from z-table)

when x = 19

z = (19 - 20)/ 0.61

z = -1.63 ( p-value of 0.051 taken from z-table)

The probability is 0.948 -  0.051

Probability = 0.897

Therefore, the probability that a sample of 130 steady smokers spend between $19 and $21 is 0.897.

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a. Range of (X,Y):

From the definition of the joint PDF, we know that X and Y are non-negative and that their sum is less than 1.

Therefore, the range of (X,Y) is the triangle in the first quadrant of the xy-plane bounded by the lines x=0, y=0, and x+y=1.

b. Finding c:

To find the constant c, we need to integrate the joint PDF over its support and set the result equal to 1, since the PDF must integrate to 1 over its support.

∫∫fX,Y(x,y)dxdy=∫∫cx+10x,y≥0,x+y<1cxdxdy

Since x and y are both non-negative, the support of the joint PDF is the triangle in the first quadrant of the xy-plane bounded by the lines x=0, y=0, and x+y=1, as we determined earlier.

We can integrate the joint PDF over this triangle by breaking it up into two parts: the region where 0≤x≤1−y and the region where 1−y≤x≤1. In the first region, the integral becomes:

∫∫1−y0cx+10dxdy=∫01−ycx+1dxdy=[c2x2+x]1−y0dy=[c(1−y)2+(1−y)]0^1dy=(c+1)/2

In the second region, the integral becomes:

∫∫10cx+10dxdy=∫1−y10cx+1dxdy=[c2x2+x]10−ydy=[c(1−2y+y2)+(1−y)]0^1dy=(1+c)/2

Adding these two results together and setting the sum equal to 1, we get:

(c+1)/2+(1+c)/2=1

Simplifying this equation, we get:

c+1+c=2

2c=1

c=1/2

Therefore, the constant c is 1/2.

c. Finding the marginal PDFs:

To find the marginal PDF of X, we integrate the joint PDF over all possible values of Y:

fX(x)=∫∞−∞fX,Y(x,y)dy=∫1−x0(1/2)x+10xdy=(1/4)x+1/4, 0≤x≤1

To find the marginal PDF of Y, we integrate the joint PDF over all possible values of X:

fY(y)=∫∞−∞fX,Y(x,y)dx=∫1−y00.5x+10dy=(1/4)(2−y), 0≤y≤1

Finding P(Y<2X^2):

We want to find the probability that Y is less than 2X^2. That is,

P(Y<2X2)=∫10∫2x2−x01/2x+1/0.5dxdy

The limits of integration for x are found by solving the inequality 2X^2 > Y and the limits of integration for y are the same as before. Thus, we have:

P(Y<2X2)=∫10∫2x2−x01/2x+1/0.5dxdy

=∫01(1/2)∫2x2−x01dxdy=∫01(1/2)(x2−x3/3)2x2dx

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The probability steve will pass either math or history is equal to 0.94  

Probability:

Probability refers to the chances of an event will occur in random experiments. It is also defined as the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment.    

Probability(Event) = Favorable Outcomes/Total Outcomes  

The Probability of an event is denoted by P(E) and P(E)' is the reciprocal of the event. In an experiment, the sum of all events will add up to 1.  

Let

Event M: Passing course Maths

Event H: Passing Course History

Here we have,

The probability of steve passing his math course, P(M) = 0.7  

then the probability of steve failing in Maths, P(M)' = 1 - 0.7 = 0.3  

The probability of steve passing his history course, P(H) = 0.8

then the probability of steve failing in History, P(H)' = 1 - 0.8 = 0.2

the probability of steve passing both courses is 0.56,    

From the above calculations,

The probability of steve failing in both = P(M)'× P(H)' =  0.3 × 0.2 = 0.06

The probability steve will pass either math or history

= 1 - (The probability of failing both courses)

= 1 - 0.06  

= 0.94    

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Mine is not heating up I don't know about others