Work out 20 percent of 800

Answer:

D. 79%

Step-by-step explanation:

Took the the on USA Test prep

If a point is randomly selected from the rectangular area of the graph, the probability that it will be in the blue region is 79%.

The ratio of the number of favorable outcomes to the total number of outcomes of an event is known as probability.

It is given that, the length=20, the width=10, and the radius of half circle=10.

Calculate the area of the rectangle.

Knows the area of the rectangle is the product of length and width.

So,

\(\Rightarrow \text{Area of rectangle}=\text{10}\times \text{20} \\ \Rightarrow \text{Area of rectangle}=200 \\\)

Calculate the area of the half-circle.

Knows the area of the half-circle\(=\frac{\pi r^{2} }{2}\).

So,

\(& \Rightarrow \text{Area of half circle}=\frac{3.14\times 10\times 10}{2} \\ & \Rightarrow \text{Area of half circle}=\frac{314}{2} \\ & \Rightarrow \text{Area of half circle}=157 \\\)

Calculate the probability that it will be in the blue region.

Knows the formula for the probability, \(\text{Probability}\left( \text{Event} \right)=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}\)

So,

\(& \Rightarrow \text{Probability}=\frac{\text{157}}{200} \\ & \Rightarrow \text{Probability}=0.78539 \\ & \therefore \text{Probability }\%=79\% \\\)

Thus, the correct answer is an option (D). i.e., 79%.

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The probability that a test taker chosen at random takes 9 minutes or more to read the article is 0.38. Rounded to four decimal places, this is 0.3800.

To find the probability that a test taker chosen at random takes 9 minutes or more to read the article, we need to calculate the integral of the probability density function f(t) from 9 to 10 (since t is between 0 and 10).
∫(9 to 10) 0.012t^2 − 0.0012t^3 dt
Using the power rule of integration, we get:
[0.004t^3 - 0.0003t^4] from 9 to 10
Substituting the limits, we get:
[0.004(10)^3 - 0.0003(10)^4] - [0.004(9)^3 - 0.0003(9)^4]
Simplifying, we get:
0.38

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

you can solve all your problems posted by this method ...

Step-by-step explanation:

mark me as brainliest ❤️

...............

Answer: the speed of the elevator is 4.6 miles per hour.

Step-by-step explanation:

Given, The elevator in the Washington Monument takes 75 seconds to travel 506 feet to the top floor.

Since 1 hour = 3600 seconds

⇒ 1 second = \(\dfrac{1}{3600}\) hour

⇒ 75 seconds = \(\dfrac{75}{3600}\) hour \(=\dfrac{1}{48}\) hour

1 mile = 5280 feet

1 feet = \(\dfrac{1}{5280}\) mile

506 feet = \(\dfrac{506}{5280}\) miles \(=\dfrac{23}{240}\) miles

Speed = \(\dfrac{Distance}{Time}\)

\(=\dfrac{\dfrac{23}{240}}{\dfrac{1}{48}}\\\\=\dfrac{23\times48}{240}\\\\=\dfrac{23}{5}\\\\=4.6\text{ miles per hour}\)

Hence, the speed of the elevator is 4.6 miles per hour.

Answer:

2, 7, 12

Step-by-step explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 2, 7 and 12, since 2 + 7 is less than 12.

Answer:

2,7,12

Step-by-step explanation:

acordig to shreek thus will mak erth gooooob booomobooomo popoopopopo

Answer:

22

Step-by-step explanation:2

2

Answer:

Set the denominator to zero and solve for x.

Step-by-step explanation:

This is simply the process for finding the VA of a function. By setting the denominator to zero and solving for x, you find all values of which the function will return an undefined value (since you cannot divide by 0).

(a) cubic function with three significant digit coefficients: P(t) = 150.7 + 0.358t - 0.000219t^2 + 0.0000012t^3.

(b)  function that models the instantaneous rate of change of the U.S. population : P'(t) = 0.358 - 0.000438t + 0.0000036t^2

(c) So, in 2000, the U.S. population was growing at a rate of 0.168 million people per year, and in 2025 it will be growing at a rate of 0.301 million people per year.

(a) To model the U.S. population in millions, we need a cubic function with three significant digit coefficients. Let's first find the slope of the curve at t=0, which is the initial rate of change:
P'(0) = 0.358

Now, we can use the point-slope form of a line to find the cubic function:
P(t) - P(0) = P'(0)t + at^2 + bt^3

Plugging in the values we know, we get:
P(t) - 150.7 = 0.358t + at^2 + bt^3

Next, we need to find the values of a and b. To do this, we can use the other two data points:
P(25) - 150.7 = 0.358(25) + a(25)^2 + b(25)^3
P(50) - 150.7 = 0.358(50) + a(50)^2 + b(50)^3

Simplifying these equations, we get:
P(25) = 168.45 + 625a + 15625b
P(50) = 186.2 + 2500a + 125000b

Now, we can solve for a and b using a system of equations. Subtracting the first equation from the second, we get:
P(50) - P(25) = 17.75 + 1875a + 118375b

Substituting in the values we just found, we get:
17.75 + 1875a + 118375b = 17.75 + 562.5 + 15625a + 390625b

Simplifying, we get:
-139.75 = 14000a + 272250b

Similarly, substituting the values we know into the first equation, we get:
18.75 = 875a + 15625b

Now we have two equations with two unknowns, which we can solve using algebra. Solving for a and b, we get:

a = -0.000219
b = 0.0000012

Plugging these values back into the original equation, we get our cubic function:
P(t) = 150.7 + 0.358t - 0.000219t^2 + 0.0000012t^3

(b) To find the function that models the instantaneous rate of change of the U.S. population, we need to take the derivative of our cubic function:
P'(t) = 0.358 - 0.000438t + 0.0000036t^2

(c) Finally, we can find the instantaneous rates of change in 2000 and 2025 by plugging those values into our derivative function:
P'(50) = 0.358 - 0.000438(50) + 0.0000036(50)^2 = 0.168 million people per year
P'(75) = 0.358 - 0.000438(75) + 0.0000036(75)^2 = 0.301 million people per year

So in 2000, the U.S. population was growing at a rate of 0.168 million people per year, and in 2025 it will be growing at a rate of 0.301 million people per year. This shows that the population growth rate is increasing over time.

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Options B, C and D are the situations it is appropriate to use a sample.

Simple random sampling is a sampling technique in which each member of a population has an equal chance of being chosen, through the use of an unbiased selection method.  The sample is chosen by a random method as every subject in the sample is assigned a number.

Sampling saves money by granting researchers to gather the same answers from a sample that they would receive from the population. Non-random sampling is significantly cheaper than random sampling because it lowers the cost associated with searching people and collecting data from them.

Therefore, options B, C and D are the situations it is appropriate to use a sample.

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Answer:

B,C,D

Step-by-step explanation:

Answer:

1. 30

2. x = 0

3. x = 10

4. 11.7

5. 60

Step-by-step explanation:

There are an odd number of zeros of the function f(z) = 24z - 22z³ + 92z² + z - 1 in the disk D[0, 2]. However, the exact number of zeros and their locations would require further analysis using numerical techniques or software.

To determine the number of zeros of the function f(z) within the disk D[0, 2], we can apply the argument principle from complex analysis. According to the argument principle,

the number of zeros of a function in a region is equal to the change in the argument of the function along the boundary of that region divided by 2π.

In this case, the region of interest is the disk D[0, 2] centered at the origin with a radius of 2. The function f(z) is a polynomial, so it is analytic in the entire complex plane. Thus, we can analyze the behavior of f(z) along the boundary of the disk D[0, 2].

Since the boundary of the disk D[0, 2] is a circle, we can parameterize it as z = 2e^(it), where t ranges from 0 to 2π. Substituting this parameterization into the function f(z), we obtain f(z) = 24(2e^(it)) - 22(2e^(it))³ + 92(2e^(it))² + 2e^(it) - 1.

Now, by evaluating f(z) along the boundary of the disk, we can calculate the change in the argument of f(z) as t varies from 0 to 2π. If the change in argument is nonzero, it indicates the presence of zeros inside the disk.

However, since the given function f(z) is a quartic polynomial, the exact calculations for the argument change can be quite involved. It may be more practical to approximate the number of zeros using numerical methods or software.

In conclusion, the main answer is that there are an odd number of zeros of the function f(z) = 24z - 22z³ + 92z² + z - 1 in the disk D[0, 2]. However, the exact number of zeros and their locations would require further analysis using numerical techniques or software.

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The numbers that can be paired with 32 to have an LCM of 32 are 1, 2, 4, 8, and 16.

Least common multiple (LCM) of two numbers is the smallest positive integer that is a multiple of both numbers.

If we want to find a number that can be paired with 32 to have an LCM of 32, we need to look for a number that is a factor of 32 but is not equal to 32 itself, since the LCM of two identical numbers is the number itself.

The factors of 32 are 1, 2, 4, 8, 16, and 32. So, the numbers we can pair with 32 are 1, 2, 4, 8, and 16.

Let's check the LCM of 32 and each of these numbers:

LCM(32, 1) = 32

LCM(32, 2) = 32

LCM(32, 4) = 32

LCM(32, 8) = 32

LCM(32, 16) = 32

As we can see, the LCM of 32 and any of these numbers is always 32. Therefore, we can pair 32 with any of these numbers and still get an LCM of 32.

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Answer:

b. \(6\sqrt{3}\)

Step-by-step explanation:

\(\frac{6}{x} =\frac{x}{18}\)

\(x^{2} =\)\((6)(18)=108\)

\(x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}\)

Hope this helps

The length of x, the altitude of triangle ABC  is \(6\sqrt3\)

From the given figure, we have the following equivalent ratio:

6 : x =x: 18

Express as fraction

6/x = x/18

Cross multiply

\(x^2 = 6 * 18\)

Evaluate the product

\(x^2 = 108\)

Take the square root of both sides

\(x = 6\sqrt3\)

Hence, the length of x, the altitude of ABC  is \(6\sqrt3\)

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Answer:

First choice

Step-by-step explanation:

The discontinuity is removable if by reducing the fraction that discontinuity doesn't continue to exist as a discontinuity.

Example of, (x-1)/(x-1) has a a discontinuity at x=1 and it's removable because the fraction reduces to 1 which doesn't have a discontinuity at x=1.

Example not of, (x-1)/(x-2) has a discontinuity at x=2 and it is not removable because we can't get rid of the x-2 factor in the denominator.

The first choice has a discontinuity at x=-1 and it is removable because x^2-x-2=(x-2)(x+1) and the x+1's will cancel on top and bottom making the point at x=-1 a removable discontinuity.

Constant of variation for given quadratic equation is 2/3

Correct option is a.

The ratio between two variables in a direct variation or the product of two variables in an inverse variation.

In the direct variation equations = k and y = k x,

and the inverse variation equations x y = k and

k is the constant of variation.

Given,

quadratic equation,

15y = 10x²

y = (10/15)x²

y = (2/3)x²

Comparing it with general form y = kx²

k = 2/3

Hence, 2/3 is constant of variation for the quadratic equation.

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Answer:

4x+7 = 5x-20                  

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

Answer:

number is either 5600 or 5550 or 5560 or 5570 or 5580 or 5590

Step-by-step explanation:

Do mark BRAINLIEST

13.6 = 10, 3, 0.6

thats the answer

Answer:

2x + 10

Step-by-step explanation:

Simplify: 35x - 22 + 32 + 17x - 50x

35x plus 17x is 52x and 52x minus 50x is 2x

negative 22 plus 32 is 10

Answer: 2x + 10

Hope this worked.

Answer:

Step-by-step explanation:

a)

First I will calculate the equation of the line that goes trough the points

C (0, 0) and (-4, 3).

y= mx + b

y = [(3-0)/ (-4 -0) ] x + 0

y = (-3/4)x  →the slope of tis line is (-3/4)

The slope of line l is the negative reciprocal of (-3/4) the slop of line that goes trough points C (0, 0) and (-4, 3) because the lines are ⊥.  

Slope of line l is 4/3

b)

The equation of l is

y= (4/3)x + b

for point (x= -4, y = 3) that belongs to the line l, we have

3 = (4/3) (-4) + b

3 = (-16/3) + b

3 + (16/3) = b

(9+16)/3 = b

25/3 = b

The equation of the line l in slope intercept form is :

y = (4/3)x + (25/3)

c)

The radius of circle C is the distance between C (0, 0) and (-4, 3).

d² = (x2-x1)² +(y2-y2)²

d = √(-4-0)² +(3-0)²

d = √16+ 9

d = 5 → the radius of the circle C is 5

d)

Line l intersects the y-axis at (25/3) as we previously found out.

The radius is 5.

...therefore the distance between the line l's y-intercept and the circumference of the circle is

(25/3 ) - 5  = (25 - 5·3)/3 = 10/3

Answer:

Step-by-step explanation:

Theres no picture

Answer:

Can you show the picture real quick use ctrl shift s to screen shot or window  F11

Step-by-step explanation:

Answer:

33 degree

Step-by-step explanation:

x+114+33=180 (sum of angle of triangle)

x=180-147

x=33

The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

What is Standard Deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the more the data points deviate from the mean; Hence, the higher the standard deviation, the more dispersed the data.

We know that:

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

where \(x_{i}\)  is the mean and n is the number of observations.

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

98% Confidence interval:  

\(\bar{x} \pm t_{\text {critical }} \frac{s}{\sqrt{n}}\)

Putting the values, we get,  

\(t_{\text {critical }} \alpha_{0.02}\\=\pm 2.14535.07 \pm 2.145\left(\frac{6.02}{\sqrt{15}}\right)\\=35.07 \pm 3.33\\=(31.74,38.4)\)

Hence, The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

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Answer:

A

Step-by-step explanation:

Answer:

Your answer is A, 3x - 2x.

Step-by-step explanation:

Triple a number means to multiply it by 3.

Double a number means to multiply it by 2.

Difference means to subtract.

Hope this helps!

Answer:cim not sure tho

Step-by-step explanation:

Answer:

\(kb = {2}^{10} \\ gb = {2}^{30} \)

tb = product of kb and gb

\(tb = kb \times gb \\ tb = {2}^{10} \times {2}^{30} \\ = {2}^{40} \)

The polynomial has no roots and the possible answer to the question are 1/5, 15 and 3 which are option b, c and d respectively

Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero. If a is the root of the polynomial p(x), then p(a) = 0.

The given polynomial is 5x^4 + 3x^3 + 4x^2 + 15 and we can calculate the roots by finding values in which when we plug into the equation, it will give us zero (0).

The given polynomial has no roots and the answer to the question are option b, c and d

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Answer:

v = 800 - 3/5y

Step-by-step explanation:

v = value

y = years

The original cost/value was 800 dollars which means you would have to subtract the 3/5 decrease in value each year.

v = 800 - 3/5y

Answer:

800/(y*3/5)

Step-by-step explanation: