A town with a population of 21,280 registered 633 births in a year. Round both numbers to 1 significant figure and estimate the birth rate per 1000 population

Answer:

a. Here is a dot plot for the data:

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4:  • • • • • •

5:  • • • • •

6:  • • • • • •

b. Here is a bar graph for the data:

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1   2   3   4   5   6

Step-by-step explanation:

A dot plot is a type of graph that displays data as dots on a number line. Each dot represents a single observation or data point, and dots are stacked vertically above their respective values on the number line. In this case, you would have a number line from 1 to 6 (since the die has six sides) and a dot above each number for every roll of the die. This can give a quick visual representation of the distribution of the data.

A bar graph, on the other hand, uses rectangular bars to represent the values of data. The height of each bar corresponds to the number of data points that fall within a certain range or category. In this case, you would have one bar for each number on the die, and the height of each bar would represent the number of times that number was rolled in the 30 rolls. This can be useful for comparing the frequency of each possible outcome of the roll.

The resulting augmented matrix is:

1 2 -6 | -5

0 1 -8 | 13

0 0 42 | -177

To perform the three-row operations on the augmented matrix A, we proceed as follows:

(a) R = 1 + 12:

Add 12 times row 1 with row 2,

1 2 -6 | -5

0 -14 -32 | 14

-3 -10 -2 | -4

(b) Rg - 3r + r:

Add 3 times row 2 to row 3, and subtract row 3 from row 1

1 2 -6 | -5

0 -14 -32 | 14

0 -16 -38 | -9

(c) Rs = 4r2 + 13:

Multiply row 2 by 4 and add 13 times row 2 to row 3

1 2 -6 | -5

0 1 -8 | 13

0 0 42 | -177

So the resulting augmented matrix is:

1 2 -6 | -5

0 1 -8 | 13

0 0 42 | -177

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Answer:

Sig figs, if unspecified are always the number with the least number of sig figs. 532.1 has 4 sig figs and 15 has 2 sig figs, so your answer will have 2 sig figs.

Step-by-step explanation:

The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

Answer:

y=-3/2x+2

Step-by-step explanation:

-3/2= slope

y intercept=2

Answer:

Step-by-step explanation:

The answer is B

Answer:

See below.

Step-by-step explanation:

The closest numbers I could find were 26+26, and 24+28.

-hope it helps

Answer:

25 and 27

Step-by-step explanation:

given two number are X+2,X+4

X+2+X+4=52

2x+6=52

2X=52-6

X=46/2

X=23

X+2=23+2=25

X+4=23+4=27

hope this will help you

The distance from Cuba to Key West is 145 km, and if Hurricane Charles is travelling at 20.80 km per hour, it will take 6.97 hours to travel that distance. To calculate this, use the following equation: 145 km / 20.80 km/h = 6.97 hours.

The time it takes for Hurricane Charles to travel from Cuba to Key West can be calculated using the formula time = distance / speed. In this case, the distance is 145 km and the speed is 20.80 km per hour. Plugging in these values gives:

Time = 145 km / 20.80 km per hour

Time = 6.97 hours

Therefore, it will take Hurricane Charles approximately 6.97 hours to travel from Cuba to Key West.

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To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

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4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

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2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

Alexa's bouquet had a lower ratio.

Step-by-step explanation:

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

Answer:

for which m is the slope, b is the y-intercept, x is any x value and y is any y value. By looking at the equation of the trend line, you can determine the y-intercept. For example, if the equation of the trend line is y=2x+5, the y-intercept is 5. You would receive this same answer if you let x = 0.

Step-by-step explanation:

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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Answer:

24

Step-by-step explanation:

8 times 3=24

Answer:

a), y=62       b.) c=1 3/5 or 8/5

Step-by-step explanation:

Okay so these are fairly simple lets start with A

4y=248, all we have to do is divide 4 on both sides

4y/4=y

248/4=62

Pretty Simple

For b just subtract 2/5 from both sides

(c+2/5)-2/5=c

2-2/5=1 3/5 or 8/5

Answer:

7. 170 degrees

8. 210 degrees

9. 180 degrees

10. 210 degrees

11. 170 degrees

12. 220 degrees

- Lizzy ˚ʚ♡ɞ˚

Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

Answer:

Step-by-step explanation:

Answer:

the answer of the question is 256m^2

Answer:

S=288

Step-by-step explanation:

Answer:

This is a 30-60-90 right triangle.

The ratio of sides:

Compare with the given values:

Answer:

-16

Step-by-step explanation:

fog(x)=f(gx)

= -5×4+4

= -20+4

= -16

There are 3 integers from 1 to 300 (inclusive) that are divisible by the factors of 70 greater than 1

First, we need to look for the factors of 70 as shown:

Next is to get the factors of 300

300 = 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30,

Hence the common factors in both factors of 70 and 300 are 2, 5,  and 10. Hence there are 3 integers from 1 to 300 (inclusive) are divisible by the factors of 70 greater than 1

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Answer:

Vanilla Percentage = 34%

Therefore the number of people who choose vanilla is :

34% x 200 = 68 people

Formula:

Percentage of Object x Total number = Number of Object

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Answer:

x = 8

Step-by-step explanation:

If the line are parallel (those are the ones that dont cross) and a third line crosses both the parallel lines, you get the set up shown in your diagram. Which has EIGHT angles in it. But there's only two measures for all eight of these angles. Four of them are all equal to each other (and the other four all equal to each other) And the two numbers add up to 180°

Here 7x + 12 and 12x - 28 are a couple of the angles that are EQUAL TO each other.

7x + 12 = 12x - 28 Solve.

Subtract 7x from both sides.

12 = 5x - 28 add 28 to both sides.

40 = 5x divide by 5 on both sides.

40/5 = x

8 = x

Answer:

x=8

Step-by-step explanation:

7x + 12 = 12x - 28 Solve.

Subtract 7x from both sides.

12 = 5x - 28 add 28 to both sides.

40 = 5x divide by 5 on both sides.

40/5 = x

8 = x

Answer:

4x = 24

Divide by 4 to isolate the x

x = 6

Answer:

24 cups of grapes

Step-by-step explanation:

24 x 1 = 24

Answer: can you take a closer picture

Step-by-step explanation:

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)