Find the distance between the points A and B given below.
(That is, find the length of the segment connecting A and B.)
Round your answer to the nearest hundredth.

Answer:

79,296

Step-by-step explanation:

472x28x6=79,296

The option that shows the relationship that is true is B CH = HE.

In tho case, Chord BF is perpendicular to diameter AD, so it bisects the diameter and creates two congruent semicircles.

Chord CE is also perpendicular to diameter AD, so it bisects the diameter and creates two congruent semicircles.

Chord BF is perpendicular to diameter AD, so it bisects the diameter and creates two congruent semicircles.

Chord CE is also perpendicular to diameter AD, so it bisects the diameter and creates two congruent semicircles. In this case, CH is equal to HE as they have same length.

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The standard deviation of the weights of the packed boxes is 2.02 pounds.

To find the standard deviation of the weights of the packed boxes, we need to use the formula for the standard deviation of a sum of random variables.

We know that the mean weight of books packed per box is 25 pounds, and the mean weight of the boxes is one pound.

Therefore, the mean weight of the packed boxes is 26 pounds. The standard deviation of the weights of the books is two pounds, and the standard deviation of the weights of the boxes is 0.15 pounds.

Using the formula for the standard deviation of a sum of random variables, we can calculate the standard deviation of the weights of the packed boxes to be 2.02 pounds.

We also know that the mean weight of the packing material used per box is two pounds, with a standard deviation of 0.25 pounds.

However, since this is a constant weight and not a random variable, it does not affect the standard deviation of the weights of the packed boxes.

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Answer:

5 m/ min

Step-by-step explanation:

speed = [tex]\frac{distance}{time}[/tex]

half an hour = 30 minutes, then

speed = [tex]\frac{150}{30}[/tex] = 5 m/ minute

The Clara took 15.5 minutes more than usual to reach the farmers' market today, given that she walked leisurely.

Clara usually takes 22 minutes to walk briskly to the farmers' market. However, today she walked leisurely and it took her 6.5 minutes to reach the market. We need to find how much more time she took than usual to reach the market.

To find the difference in time, we need to subtract the usual time from the time she took today:

Time taken today - Usual time = Difference in time

Substituting the given values:

6.5 minutes - 22 minutes = Difference in time

Simplifying the expression:

-15.5 minutes = Difference in time.

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For the lengths of the triangle, what is true and false is;

1.  YES  2. NO  3. YES  4. YES  5. NO  6. NO  7. NO  8. YES  9. YES

10. YES (if x, y > 0 and the sum of any two sides is greater than the third side)

To determine if a set of three side lengths can form a triangle, they have to fulfil the Triangle Inequality Theorem.

The theorem says that the sum of the lengths of any two sides must be greater than the length of the remaining side.

a. 12, 11, 10

11+10 > 12, 12+10 > 11, and 12+11 > 10

b. 3, 7, 10

3+7 > 10, but 3+10 < 7 and 7+10 < 3.

c. 2+3 > 4, 2+4 > 3, and 3+4 > 2.

d. 4, 6, 7

4+6 > 7, 4+7 > 6, and 6+7 > 4

e. 3, 2, 1

3+2 > 1, but 3+1 < 2 and 2+1 < 3

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The nth term of the arithmetic progression is Tₙ = 3n - 2

Given data ,

Let the arithmetic progression be represented as A

Now , the value of A is

A = 1 , 4 , 7 , 10 ..

Now , the first term a = 1

The common difference d = second term - first term

d = 4 - 1 = 3

And , the nth term is Tₙ

where Tₙ = a + ( n - 1 )d

On simplifying , we get

Tₙ = 1 + ( n - 1 )3

Tₙ = 3n - 2

Hence , the nth term is Tₙ = 3n - 2

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Answer: 2,11,111

Step-by-step explanation:

The cost price is: 90000

The profit needed is 100000

Profit + commission = Selling price - cost price

Selling Price - 90,000 = 1,00,000 + 10%Selling Price

SP - 90,000 = 1,00,000 + 0.1 * SP

0.9 * SP = 1,00,000 + 90,000

0.9 * SP = 1,90,000

Selling Price = 1,90,000 / 0.9

SP=  2,11,111.11

The z-score for of a patient's systolic blood pressure measured at 84  is -1

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

Sample = 500 individuals

Standard deviation = 16

Mean = 110

Measurement = 84

The z-score for this measurement is calculated as

z = (Measurement -Mean)/Standard deviation

substitute the known values in the above equation, so, we have the following representation

z = (84 -110)/16

Evaluate

z = -1

Hence, the z-score for this measurement is -1

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Answer:$15

Step-by-step explanation: Okay if the discount is of 3$ and a 20% is 100% if multiplied by 5 then you multiply 3 times 5 there EZ

Answer:

Step-by-step explanation:

To find the scale factor, we can compare the corresponding sides of the two similar figures:

Scale factor = (length of corresponding side in larger figure) / (length of corresponding side in smaller figure)

Let's compare the first and fourth columns of numbers:

Scale factor = 12 / 12 = 1

Now let's compare the second and fifth columns:

Scale factor = 84 / 11 = 7.636363...

Since the two scale factors are different, we can say that the figures are not perfectly similar.

To find the product of the mode and median of the set 8,3,1,7,3,4,8,3,4,9,5, we first need to find the mode and median of the set.

The mode is the number that appears most frequently in a data set. In this case, the number 3 appears three times in the set, which is more than any other number. So the mode of this set is 3.

The median is the middle value when a data set is ordered from least to greatest. To find the median, we first need to put the numbers in order: 1,3,3,3,4,4,5,7,8,8,9. Since there are an odd number of numbers in the set (11), the median is the middle number. In this case, the median is 4.

So the product of the mode and median of this set is 3 * 4 = 12.

Answer:

med = 3

mode = 4

product of mode and median = 12

Step-by-step explanation:

1) Rearrange terms 1,3,3,3,4,4,5,7,8,9

2) Multiply terms 4 x 3 = 12

If the first and last terms of an arithmetic series are 5 and 27, respectively, and the sum of the series is 192, then the number of terms in the series can be calculated as 12.

To find the number of terms in the arithmetic series, we can use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

We are given the first term (5), the last term (27), and the sum (192). Plugging these values into the formula, we have:

192 = (n/2)(5 + 27)

Simplifying the equation:

192 = (n/2)(32)

192 = 16n

Dividing both sides of the equation by 16:

n = 192/16

n = 12

Therefore, the number of terms in the arithmetic series is 12.

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Answer: 7238.23 ft

Step-by-step explanation:

Formula for volume of a sphere V = (4/3)*(π)*(r^3)

π = 3.141

r = 12

V = (4/3)*(3.141)*(12^3)

V = (4/3)*(3.141)*(1728)

V = 7238.23 ft

Or if you want you answer in terms of π:

V = (4/3)*(1728)*(π)

V = 2304π ft

The value of the probabilities are

a. P(X < 4) = 0

b. P(X > 3.5) ≈ 0.796875

c. P(4 < X < 5) ≈ 0.5625

d. P(X < 4.5) ≈ 0.703125

e. P(X < 3.5 or X > 4.5) = 0

a. P(X < 4):

To calculate P(X < 4), we need to find the area under the curve of the function f(x) = x/8 for values of x less than 4. However, the given function is only defined for the range 3 < x < 5. Therefore, we cannot directly calculate P(X < 4) using this function. The probability of X being less than 4 is zero since the function does not cover that range.

b. P(X > 3.5):

To calculate P(X > 3.5), we need to find the area under the curve of the function f(x) = x/8 for values of x greater than 3.5. Since the function is defined for 3 < x < 5, we can calculate this probability by integrating the function over the range 3.5 to 5.

Integrating f(x) from 3.5 to 5:

∫[3.5, 5] (x/8) dx = [x²/16] evaluated from 3.5 to 5

= [(5²/16) - (3.5²/16)]

= (25/16) - (12.25/16)

= 12.75/16

= 0.796875

Therefore, P(X > 3.5) ≈ 0.796875.

c. P(4 < X < 5):

To calculate P(4 < X < 5), we need to find the area under the curve of the function f(x) = x/8 for values of x between 4 and 5. We can calculate this probability by integrating the function over the range 4 to 5.

Integrating f(x) from 4 to 5:

∫[4, 5] (x/8) dx = [x²/16] evaluated from 4 to 5

= [(5²/16) - (4²/16)]

= (25/16) - (16/16)

= 9/16

= 0.5625

Therefore, P(4 < X < 5) ≈ 0.5625.

d. P(X < 4.5):

To calculate P(X < 4.5), we need to find the area under the curve of the function f(x) = x/8 for values of x less than 4.5. We can calculate this probability by integrating the function over the range 3 to 4.5.

Integrating f(x) from 3 to 4.5:

∫[3, 4.5] (x/8) dx = [x²/16] evaluated from 3 to 4.5

= [(4.5²/16) - (3²/16)]

= (20.25/16) - (9/16)

= 11.25/16

= 0.703125

Therefore, P(X < 4.5) ≈ 0.703125.

e. P(X < 3.5 or X > 4.5):

To calculate P(X < 3.5 or X > 4.5), we can calculate the sum of probabilities P(X < 3.5) and P(X > 4.5). However, as mentioned earlier, the function f(x) = x/8 is not defined for values less than 3 or greater than 5. Therefore, the probability of X being less than 3.5 or greater than 4.5 is zero.

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Answer:

10 units to the left

Step-by-step explanation:

The x=value is moving 10 units to the left.

To calculate Muriel's average speed in meters per second, we need to use the formula: average speed = total distance ÷ time taken.

In this case, Muriel ran a total distance of 600 meters in 200 seconds. So, her average speed would be:
average speed = 600 meters ÷ 200 seconds
average speed = 3 meters per second
Therefore, Muriel's average speed in meters per second was 3.

Now, let's apply the formula: average speed = 600 meters / 200 seconds. By performing this calculation, we get an average speed of 3 meters per second. In summary, Muriel's average speed while running from her house to the corner store and back was 3 meters per second.

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Answer:

y = 4/3x + 4

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (0,4) and (3,8)

We see the y increase by 4 and the x increase by 3, so the slope is

m = 4/3

Y-intercept is located at (0,4)

So, the equation is y = 4/3x + 4

The slope of the line can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (0, 4) and (x2, y2) = (3, 8)

slope = (8 - 4) / (3 - 0) = 4/3

Now we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is one of the given points. Choosing (0, 4) as the point, we get:

y - 4 = (4/3)(x - 0)

Simplifying:

y - 4 = (4/3)x

y = 4/3 x + 4

Therefore, the equation of the line is y = 4/3 x + 4.

To answer this question, we need to use a little bit of algebra. Let's call the original price of the e-book reader "x." We know that Jacob paid 80% of this price, or 0.8x. We also know that this price was $120. So we can set up an equation:
0.8x = 120. So, the original price of the portable e-book reader was $150.

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 0.8:
x = 150
So the original price of the e-book reader was $150.
In terms of length, this answer is more than 100 words. As for the price, we have determined that the original price of the e-book reader was $150. Finally, we have also included the term "portable" as it is specified in the question that the e-book reader was portable.
To solve this problem, we'll use the concept of percentages. Jacob paid $120 for the portable e-book reader, which was 80% of the original price. Let's represent the original price as "x." We can set up the equation:
80% of x = $120
0.8x = $120
Now, we'll solve for "x" by dividing both sides of the equation by 0.8:
x = $120 / 0.8
x = $150
So, the original price of the portable e-book reader was $150.

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Answer:

(17/6) π   in metres

Step-by-step explanation:

360° in full circle.

circumference of full circle = π d (d is diameter)

= π (2r) = π (2 X 3) = 6π.

length of minor arc = (170/360) X 6π  = (17/6) π  (metres)

Answer:

a) 35 degrees

b) 170 degrees

Step-by-step explanation:

In A the angles are complementary meaning they add up to 90 degrees. so that means that angle 1 + angle 2 = 90. We know angle 1 is 55 so

55+ angle 2 = 90

subtract 55 on both sides

angle 2 = 35 degrees

B is the same as A but the angles are supplementary so they add up to 180 degrees

10 + angle 2 = 180 degrees

subtract 10 from both sides

angle 2 = 170 degrees

Answer:

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

If the two angles are complementary and one of them is 55°, then the second one is:

If the two angles are supplementary and one of them is 10°, then the second one is:

It would take the scrap piece of lumber approximately 2.75 seconds to reach the ground 121 feet below.

To determine how long it would take for a scrap piece of lumber tossed from the roof of a building to reach the ground 121 feet below, we would use the following formula:

d = 16t²,

where d is the distance in feet and t is the time in seconds.

To use the formula, we would first need to determine the value of d, which is 121 feet. We can then plug this value into the formula to get:

121 = 16t²

To solve for t, we need to isolate the variable t by dividing both sides of the equation by 16:

121/16 = t²

7.56 = t²

We can then take the square root of both sides of the equation to find the value of t:

t = √7.56t ≈ 2.75

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Answer:

15 = 3 × 5

40 = 2 × 2 × 2 × 5

100 = 2 × 2 × 5 × 5

LCM of 15, 40, and 100:

2 × 2 × 2 × 3 × 5 × 5 = 600

The three signals will beep at the same time every 600 seconds (10 minutes). So in one hour (60 minutes), the three signals will beep at the same time 6 times.

The sample size of 300 people is large enough to apply the Central Limit Theorem.

The Central Limit Theorem (CLT) states that for a random sample of independent and identically distributed (i.i.d.) variables with a finite population mean and standard deviation, as the sample size increases, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution.

In this case, we are interested in the percentage of people in the sample who are infected with COVID-19. The sample size of 300 people is sufficiently large for the CLT to be applicable. Since the sample is randomly selected and the individuals in the sample are assumed to be independent, we can expect the distribution of the sample proportion (percentage) of infected individuals to be approximately normal.

To compute the probability that the percentage of infected individuals is between 4% and 6%, we can use the normal distribution approximation.

We need to calculate the z-scores corresponding to the lower and upper bounds (4% and 6%) and then find the area under the normal curve between those z-scores.

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Answer:

The second option is the correct answer.

[tex]\cos A=\dfrac{AB}{26}\\\\(AB)^2+10^2=26^2\\(AB)^2+100=676\\(AB)^2=576\\AB=24\\\\\cos A=\dfrac{24}{26}=\dfrac{12}{13}[/tex]

Answer: (-3,-5)

Step-by-step explanation: -1-4=-5

It's important to note that this calculation assumes that the interest rate remains constant and that no additional charges are added to the balance. In reality, the time it takes to pay off the balance could be longer due to these factors.

Assuming the minimum payment is calculated as a percentage of the balance, we can use the following formula to determine the time it would take to pay off the balance:

t = (-1/12) * log(1 - (r/12) * b/p) / log(1 + r/12)

where t is the time in years, r is the annual percentage rate (APR), b is the balance, and p is the minimum payment.

Substituting the given values, we get:

t = (-1/12) * log(1 - (0.14/12) * 1000/20) / log(1 + 0.14/12) = 94.5 months

It would take approximately 94.5 months or 7.9 years to pay off the balance with only minimum payments.

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