How many significant figures does the number 2.0000 have?

The graph of the inequality expression x > -4 is added as an attachment

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

x>

–

4

Express the inequality properly

So, we have

x > -4

Next, we plot the graph using a graphing tool

The graph is added as an attacment

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The equation is balanced since an alpha particle was emitted.

As, Natural transformation happens on its own because of the element's half life. Unlike natural transmutation, which requires exposing one element to another element or particle by induction or bombardment.

The radon element transforms into polonium and an alpha particle in the example inquiry. The equation is as follows:

[tex]_{86}^{219}RN[/tex] => [tex]_{84}^{215}Po[/tex] + [tex]_{2}^{4}a[/tex]

Therefore, the equation is balanced since an alpha particle was emitted.

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Answer:

C

Step-by-step explanation:

How we got this answer was by looking at the problem and looking for similar LOOKING answers and after that we are left with c and d then we have to look and see how far the sign goes and we see C is the same or equivalent to the problem

PLS GIVE BRAINLIST MEAN THE WORLD all you have do is when two people answer if app it should be by rating if web should be on top of the question

HAVE A NICE DAY!

The calculated value of x in the circle is 18 degrees

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

The circle

The angle at a semicircle is 90 degrees

using the above as a guide, we have the following:

5x = 90

Divide by 5

So, we have

x = 18

Hence, the solution for x is 18 degrees

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Answer:

423

Step-by-step explanation:

easy i did it

__________________________________

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The head of hr in a 50,000 person pharmaceutical company wanted to determine if she should implement a work at home policy for the company.

The HR analyst made an error in assuming that correlation implies causation. Just because there is a correlation between marital status and commuting times.

Additionally, the sample size of 15 employees may not be representative of the entire population of the company, which has 50,000 employees. The small sample size may have introduced sampling bias or sampling error, which could affect the generalizability of the findings.

Hence, the HR analyst should not make a decision about implementing a work at home policy based solely on this small and potentially biased sample.

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Answer:

63, 41, and 76

Step-by-step explanation:

A triangle is equal to 180 degrees. So, its angles must be equal to 180 degrees. So, we set 63+2x+8+x+7 equal to 180. Combining like terms, we get 78+3x=180. We want to isolate x, so, we subtract 78 from both sides to get 3x=102. Then we divide by 3 on both sides, x=34. Now, that we have x, we plug it into (2x+8) and (x+7). 2(34)+8= 76 and (34+7)= 41.

Answer:

Step-by-step explanation:

Assuming Lauren's speed started at 20 miles per hour , and decreased linearly to zero in a straight line as she applied the brakes, the domain of her graph would be the range of time it takes her to come to a complete stop. In this case, it is 0 seconds to 4.5 seconds.

So the domain of her graph would be [0, 4.5] seconds.

It's worth noting that without more information about the specifics of the braking process, such as the exact shape of the deceleration curve, this is an approximation.

Answer: 10.24

Step-by-step explanation:

Broke up top into trapezoid, then another trapezoid and 3 triangles

A1 = 2.75

A2=3.5

A3=1

a4=2

a5=1

Answer:23

Step-by-step explanation:

Answer:213/412

Step-by-step explanation:

To get a ratio to fraction, make first number numerator and second number as denominator.

213/412 has no LCM, which means it cannot be simplified

Answer:

3.75n + 5.4 is the required answer

Answer: The midpoint is at (-0.5, 2.5)

Explanation:

You are given a line segment with two points,

point 1: (-4,3)

point 2: (3,2)

To find the midpoint [tex](x_m,y_m)[/tex] of a line segment, we use these:

[tex]x_m=(\frac{x_1+x_2}{2})[/tex]

[tex]y_m=(\frac{y_1+y_2}{2})[/tex]

So, to solve:

[tex]x_m=(\frac{-4+3}{2})=(\frac{-1}{2})=-0.5[/tex]

[tex]y_m=(\frac{3+2}{2})=(\frac{5}{2})=2.5[/tex]

Answer:

-2x+24

Step-by-step explanation:

given,

= -3(2x-8)+4x

= -6x+24+4x

= 2x+24

therefore 2x+24 is the required equation.

hope it helps!

Answer:

44°

Step-by-step explanation:

We Know

The sum of three angles in a triangle must add up to 180°.

Let's solve

3x + 15 + 4x - 12 + 79 = 180°

7x + 82 = 180°

7x = 98°

x = 14

Now we put 14 in for the x and find the other 2 missing angles.

3x + 15

3(14) + 15

42 + 15

57°

4x - 12

4(14) - 12

56 - 12

44°

So, the measure of the three angles are: 44°, 57°, and 79°. So, the measure of the smallest angle is 44°

The surface area of the pyramid is 112 square inches if the perimeter of the base of a square pyramid is 32 inches. Thus, option A is correct.

The perimeter of a square pyramid = 32 inches

The height of a square pyramid = 3 inches

If the perimeter is 32 inches, then the sum of the lengths of all four sides is 32 inches.

Length of side= 4s = 32

Length of side = 8 inches

Area of square = [tex]a^{2}[/tex] = [tex]8^{2}[/tex] = [tex]64 inch^{2}[/tex]

Area of triangle =  (1/2) x base x height

Area of triangle = (1/2) x (8) x (3)

Area of triangle  = [tex]12 in^2[/tex]

The total area of four triangles is calculated by:

Total area of triangle = 4 x (12) = [tex]48 in^2[/tex]

The total surface area of the pyramid =  area of square + Area of triangle The total surface area of the pyramid  = 64 + 48 = 112 in^2

Therefore, we can conclude that the surface area of the pyramid is 112 square inches.

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The complete question is:

The perimeter of the base of a square pyramid is 32 inches. The height of the pyramid is 3 inches. What is the surface area of the pyramid?

Responses

a. 112 in°

b. 96 in²

c. 144 in²

d. 72 in²

Median = 23

Q1 = 11.5

Q3 = 42

Minimum = 7

Maximum = 49

We have,

To construct a box-and-whisker plot for the given data, we first need to find the five-number summary, which consists of the minimum, lower quartile (Q1), median, upper quartile (Q3), and maximum values.

Arrange the data in order from smallest to largest:

7, 8, 15, 19, 22, 24, 31, 35, 49, 49

Find the median, which is the middle value of the data:

Median = (22 + 24) / 2 = 23

Find Q1, which is the median of the lower half of the data:

Q1 = (8 + 15) / 2 = 11.5

Find Q3, which is the median of the upper half of the data:

Q3 = (35 + 49) / 2 = 42

Find the minimum and maximum values:

Minimum = 7

Maximum = 49

Thus,

Median = 23

Q1 = 11.5

Q3 = 42

Minimum = 7

Maximum = 49

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The circumference of the 13cm circle is 40.846 cm.

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The circumference of a circle is expressed mathematically as;

C = 2πr

Where r is radius and π is constant pi ( π = 3.142 )

Given that; the diameter is 13 cm, the radius is half of that:

radius r = diameter / 2

radius r = 13m / 2

radius r = 6.5 cm

Substituting this into the formula, we get:

C = 2 × π × r

C = 2 × 3.142 × 6.5cm

C = 40.846 cm

Therefore, the circumference is 40.846 cm.

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Answer:

Step-by-step explanation:

A data analyst who wants to create a visualization that demonstrates how often data values fall into certain ranges should use option A: histogram.

The distribution of a continuous variable is depicted by a histogram, a form of bar graph, by splitting the data into intervals, or bins, and charting the number of observations that fall within each bin. The range of values being measured are shown on the x-axis as intervals or bins, and the frequency or count of observations inside each bin is shown on the y-axis.

When presenting a distribution's shape, such as whether it is symmetrical or skewed, and when locating outliers or data gaps, histograms are especially helpful. They are frequently used to analyze and show data in disciplines including statistics, data science, and quality control.

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Correct question:

a data analyst wants to create a visualization that demonstrates how often data values fall into certain ranges. what type of data visualization should they use?

histogram

line graph

correlation charts

catter plot

The solution is:

b. The function has a maximum value. The maximum value of the function is 18.5.

Here, we have,

Let's consider the equation of a parabola.

f(x) = -2x² + 10x + 6

where,

a: -2

b: 10

c: +6

The sign of "a" determines the openness of the parabola. Since a < 0, the parabola is open downwards and has a maximum.

We can find "x" of the vertex using the following expression.

x(v) = -b/2a = -10/2.(-2) = -2.5

We can find the "y" of the vertex by replacing this x in the equation

y(v) = -2.(2.5)² + 10.(2.5) + 6 = 18.5

The vertex (maximum) is (2.5, 18.5).

Hence, The solution is:

b. The function has a maximum value. The maximum value of the function is 18.5.

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Answer:

Step-by-step explanation: 15

Mean means average, add all numbers and divide by amount

Mean= (15+12+14+19+x)/5

        =(60+x)/5

Median means to list numbers in order and pick the middle one

12 14 15 19       x is somewhere in the list in middle

Mode means the number that occurs the most, so 1 of these numbers is repeated

It must be 14 or 15 because the median must be the same as the mean

let's try both

(60+14)/5 =14.8                  (60+15)/15=15

The answer is 15.

The median of the data is M = 15 and the value of x = 15

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

The mean is calculated by summing all the numbers and dividing by the total count of numbers. In this case, we have 5 numbers, including x.

Mean = (15 + 12 + 14 + 19 + x) / 5

Since the mean is also equal to the median, we can rearrange the numbers in ascending order:

12, 14, 15, 19, x

The median is the middle number in a sorted list of numbers. In this case, the median is 15.

Since the mode is also equal to the mean and median, and we can see that 15 is the only number that appears more than once in the list, we can conclude that 15 is also the mode.

Setting the mean equal to 15 and solving for x:

15 = (15 + 12 + 14 + 19 + x) / 5

Multiplying both sides by 5 to eliminate the fraction:

75 = 15 + 12 + 14 + 19 + x

Subtracting the known numbers from both sides:

75 - (15 + 12 + 14 + 19) = x

15 = x

Hence , the value of x is 15 and median is 15

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The team that has best overall record for the season is the falcons because they have a larger mean value of 20.9 points

The mean is the sum of all values divided by the total number of values. Therefore mean can be expressed as;

mean = sum of item /number of item

The mean value of Eagles = (3+24+14+27+10+13+10+21+24+17+27+7+40+37+55)/15

= 310/15 = 20.67

The mean value of falcons = (24+24+10+7+30+28+21+6+17+16+35+30+28+24+14)/15

= 314/15 = 20.93

Therefore since the mean value of falcons is higher than eagles, falcons has the best overall performance.

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The question "How many pages are in the favorite books of students your age?" is a statistical question. This is because the question is asking about a characteristic of a population (students of a certain age group), and the answer will likely vary from person to person. The response to the question is also numerical, which is another characteristic of a statistical question. Therefore, the correct responses are "Statistical; Pages of books have a numerical value" and "Statistical; There are many different answers."

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.

Using this formula, we can find the circumferences of Circle A and Circle B:

Circumference of Circle A = 2π(21) = 42π meters

Circumference of Circle B = 2π(28) = 56π meters

To answer the second part of the question, yes, the relationship between the radius of a circle and the distance around the circle (circumference) is the same for all circles. The formula for the circumference of a circle, C = 2πr, shows that the circumference is directly proportional to the radius. This means that if we double the radius, we will also double the circumference, and if we triple the radius, we will also triple the circumference, and so on. This relationship holds true for all circles, regardless of their size or location.

The graph of the piecewise function in this problem is given by the image presented at the end of the answer.

A piecewise function is a function that has different definitions, based on the input of the function.

The intervals of the piecewise function for this problem are given as follows:

For the first interval, the function is a constant horizontal line at y = -3.

For the second interval, we have a linear function with a slope of 1, hence two points are given as follows:

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Answer:

Sure, I can help you with that.

Part A:

The wavelengths 0.0001 and 10^-3 are equal. This is because 0.0001 = 10^-3.

Part B:

The shortest wavelength is 0.0001 nanometers. This is because it is the smallest number in the list.

Part C:

The speed of the wave is 10^y, where y > 3. This means that y must be greater than 3. Therefore, the inequality in terms of x to represent all possible values of x is x > -3.

Part D:

The wavelength of the seventh wave is greater than 2x10^-2 nanometers and less than 5/100 nanometers. This means that the wavelength is between 0.004 and 0.05. A possible wavelength for the seventh wave is 4/100, which is equal to 0.04 nanometers.

Here is a table summarizing the answers:

Step-by-step explanation:

Answer:

c=100, d=40

Step-by-step explanation:

The statements that are true from the list of options are x = 7, y = 10 and QM = 38

Given that

This means that

NM = LM

So, we have

7x - 18 = 31

This gives

7x = 49

So, we have

x = 7

Next, we have

QM = PM

So, we have

6x - 4 = 5y - 12

So, we have

6(7) - 4 = 5y - 12

This gives

5y = 50

So, we have

y = 10

Calculating the lengths, we have

QM = 6(7) - 4

QM = 38

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