The box plots show the target heart rates of men 20-40 years old and men 50-70 years old.

Target Heart Rates of Men
20-40 years old
50-70 years old

Which statement is best supported by the information in the box plots?

A )
The range of the data for men 20-40 years old is less than the range of the data for men
50-70 years old.

B )
The median of the data for men 20-40 years old is less than the median of the data for
men 50-70 years old.

C )
The minimum target heart rate for men 20-40 years old is less than the minimum target
heart rate for men 50-70 years old.

D )
The interquartile range of the data for men 20-40 years old is greater than the
interquartile range of the data for men 50-70 years old.

Answer:

[tex] V_{prism} = 222\: cm^3 [/tex]

Step-by-step explanation:

For bottom portion:

l = 8 cm, w = 6 cm, h = 2 cm

[tex] V_1= lwh = 8*6*2= 96 \: cm^3 [/tex]

For top portion:

l = 6 cm, w = 3 cm, h = 9 - 2 = 7 cm

[tex] V_2= lwh = 6*3*7= 126 \: cm^3 [/tex]

[tex] V_{prism} = V_1 + V_2[/tex]

[tex] V_{prism} = 96 + 126[/tex]

[tex] V_{prism} = 222\: cm^3 [/tex]

Another way:

[tex] V_{prism} = 8*6*9-6*5*7[/tex]

[tex] V_{prism} = 432-210[/tex]

[tex] V_{prism} = 222\: cm^3 [/tex]

a) Probability of student passed in English and Accounting [tex]= \frac{21}{50}[/tex]

b)  Probability of  Number of Student passed Accounting [tex]=\frac{3}{5}[/tex]

c)  Given that student passed Accounting. Probability that they passed English = [tex]\frac{9}{125}[/tex]

The ratio of favorable outcomes to all possible outcomes of an event is known as the probability.

Here let us assume the Total Number of students is 100.

Students who passes in English = 60% of total number of students  

                                                   =  [tex]60*100/100=60[/tex]

Students who passes in English = 60.

Out of 60 students , 70% of 60 pass in Accounting = [tex]70/100*60=42[/tex]

So Student who passed in both English and Accounting = 42.

Also Number of student that do not passed in English = 100 - 60 = 40.

Out of these 40 students , 45% passes in Accounting = [tex]45/100*40=18[/tex]

So Number of student pass in Accounting but not in English = 18.

Total Number of student pass in Accounting = 42 + 18 = 60.

A) Number of student passed in English and Accounting = 42

   Total Number of student = 100

   Probability of student passed in English and Accounting= [tex]\frac{42}{100} = \frac{21}{50}[/tex]

B) Total Number of Student passed Accounting = 60

    Total Number of student = 100

    Probability of  Number of Student passed Accounting = [tex]\frac{60}{100} = \frac{3}{5}[/tex]

C) Probability that student passed Accounting = 60/100.

    Probability that student passed English = 60/100.

Given that student passed Accounting. Probability that they passed

 English = [tex]\frac{60}{100} * \frac{60}{100} = \frac{3600}{10000} = \frac{9}{125}[/tex]

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The amount (present value) of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15 years is $80,000.

The price of a bond is its present value.

The present value can be determined as the discounted cash inflows.

In this situation, we can determine the present value of the bond using an online finance calculator as follows:

N (# of periods) = 30 (15 years x 2)

I/Y (Interest per year) = 3%

PMT (Periodic Payment) = $1,200

FV (Future Value) = $80,000

Results:

Present Value (PV) = $80,000.00

Sum of all periodic payments = $36,000.00

Total Interest = $36,000.00

Thus, the amount of the bond is $80,000.

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Answer:

p-value≈0.025

Step-by-step explanation:

Khan Academy

From the stimulated results, the p-value of the test will be 0.025.

It should be noted that a p-value simply means a measure of the probability which an observed difference could have occurred by random choice.

In this case, the class took a random sample of n = 24 students and the mean height of students in their sample was Ž = 166.5 cm.

The p value of 0.025 indicates that the hypothesis fails to account for the facts that were presented.

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Answer:

20, 11

Step-by-step explanation:

x=first Number

x-9=second number

above two added together=31 or

x+(x-9)=31

2x=40

x=20 first number

x-9=second number

20-9=11 second number

20 (first number) + 11 (second number)=31

31=31

Answer:

Area of given figure = 197.48 mi² (Approx.)

Step-by-step explanation:

Note;

Divide given figure into a semi-circle, rectangle, and square

Given:

Radius = 8 mi

Length of rectangle = 11 mi

Width of rectangle = 8 mi

Side of square = 3 mi

Find:

Area of given figure

Computation:

Area of given figure = Area of semi-circle + Area of rectangle + Area of square

Area of given figure = (π/2)(r²) + [L x B] + Side²

Area of given figure = (3.14/2)(8²) + [11 x 8] + 3²

Area of given figure = (1.57)(64) + [88] + 9

Area of given figure = 100.48 + [88] + 9

Area of given figure = 197.48 mi² (Approx.)

Producing written and visual content for social media can be divided into two items that can be developed as a one-person small business in a little amount of time.

Social media is internet communication that enables real-time information sharing and customer interaction. Social networking can help you: better connect with your audience. building online networks sell and publicise the goods and services you offer.

Social media's effects on business

The social media presence of businesses in order to boost visibility, engagement, positioning, and value creation for their intended audience has been facilitated by the digital revolution.

In order to help businesses establish their strategy in the digital environment, marketing and advertising agencies can quickly produce digital media such posters and catalogues in addition to advertising text as their core offerings.

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The required temperature in Beijing China is -7°C on Tuesday.

As mentioned in the numeral,

On Monday in December
The temperature in Harbin China is  -8°C,

Now,
The Temperature in Beijing china is -2°C
According to the condition, the temperature on the next day in Beijing is 5° degrees colder than it was yesterday since the temperature is becoming colder implying that the temperature is getting decreased by -5°C.

The temperature on Tuesday is given as,
T = -2°C - 5°C  [subtracting -5 because the temperature is decreased]
T = - 7°C

Thus, the required temperature in Beijing China is -7°C on Tuesday.

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Answer:

The solution is b

Step-by-step explanation:

3× -2y-9

4x +3y =22

The value of the Angle A is  74.3°.

The longest side is in opposition to the longest angle, and the shortest side is in opposition to the smallest angle, respectively.

The opposite of the longest side is the greatest angle, while the opposite of the shortest side is the smallest angle. According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side.

The comparable sides are proportionate and the angles are same. The sides that are opposite the same angle are the corresponding sides. For instance, if two triangles have a 90-degree angle on each side, Triangle A's opposing side will match Triangle B's opposite side.

AB/sin(c)=AC/sin(a)=BC/sin(b)

8/sin(a)=5/Sin37°

Angle= 74.3°.

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Answer:

It is in its simplest form

Step-by-step explanation:

Answer:

Volume is 167.6

Step-by-step explanation:

V = pi*r²*h /3

V = pi*4²*10/3

V = pi*16*10/3

V = 50.26548246*10/3

V = 167.55

Answer:

60

Step-by-step explanation:

see attachment for explanation

Total amount paid by Donna is $16,689.6 and interest paid is $789.6.

The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.

According to question:

Given,

Price of car= $15,900

Down Payment=$4800

number of months=12 x 4=48 month

Monthly payment=$245.70

Total amount Donna paid = Down payment+ all monthly installment

Total amount = $4800+ 48 x 247.70 =$16,689.6

Interest Paid = $16,689.6 - $15,900 = $789.6

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When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.

given

area of the polygon ( triangle ) = 1/2 * b * h

= 1/2 * 4 * 4

= 8 units

so When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)

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Let her standard pay rate = x

She worked 40 hours for x per hour she also worked 5 hours at 1.5x ( time and a half)

Write an equation:

40x + 5(1.5x) = 1163.75

Simplify:

40x + 7.5x = 1163.75

Combine like terms:

47.5x = 1163.75

Divide both sides by 47.5

X = 24.50

Her regular hourly rate is $24.50

Answer:

let rate be x

by question

40x+7.5x=1163.75

x=1163.75/47.5=24.5

her regular income is $24.5 per hour.

Answer:

It would be 0.62.

Step-by-step explanation:

This is because the total probability is 1 and the chance of it being a green ball is 0.38, so:

1 - 0.38 = 0.62.

The angle of elevation from the person to the birds nest is 29^o.

When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.

From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.

So, to determine the measure of the required angle of elevation of the bird's nest, we have;

Tan θ = opposite/ adjacent

Tan θ = 10/18

         = 0.5556

θ = Tan^-1 0.5556

  = 29.05

θ = 29^o

Thus, the angle of elevation from the person to the bird's nest is 29^o.

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The siblings met at the point (4,7). This can be determined by looking at the graph and seeing that the point (4,7) is the only point with an x-coordinate of 4 and a y-coordinate of 7.

Coordinate refers to the pair of numbers used to identify the position of a particular point on a graph, map, or other two-dimensional plane. Each coordinate consists of an x-coordinate and a y-coordinate that indicate the horizontal and vertical position of the point, respectively. Coordinates can be used to plot points, draw shapes, and determine distances between points. For example, the coordinates (4, 7) would tell you that the point is located four units to the right and seven units up from the origin point. Coordinates can also be used to describe the location of a point in three-dimensional space, with the addition of a z-coordinate.

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Answer:

Below

Step-by-step explanation:

"Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup"

(I changed the numbers to fractions ....)

she needs   3/8 + 1/4 cup ....add them together by finding a common denominator

1/4 = 2/8    

then   3/8 + 2/8 = (3+2)/8 = 5/8 cup

  if she has one cup of water she has enough....she only needs 5/8 cup

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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Plug in values of x to find corresponding values of y.

For example, replace x with 0 to find that...

y = -5x-3

y = -5*0 - 3

y = 0 - 3

y = -3

We have x = 0 lead to y = -3.

Therefore, the point (0, -3) is on this line. This is the y intercept.

Now try something like x = 1

y = -5x-3

y = -5*1 - 3

y = -5 - 3

y = -8

It shows the point (1,-8) is also on the line.

The straight line goes through (0,-3) and (1,-8)

We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.

See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.

Answer:

A. (4,0) and (- 1,0) is the answer

Answer:

Ok Cool thx i guess.

Step-by-step explanation:

Its rectangle btw.

✵Answer:

≛≛≛≛≛≛≛≛

✃--------------

hope it helps...

have a great day!!

Answer:

Autumn is correct because it's a non-linear line. although it is positive, it's not straight.

Answer:

autumn is correct. is positive and is not a line

Answer:

[tex]8 \sqrt{2} [/tex]

Step-by-step explanation:

8²+8²=(BC)²

64+64= 128

BC²=128

BC=

[tex]8 \sqrt{2} [/tex]

Answer:

7 seconds that Hannah runs on the side walk

Step-by-step explanation:

let's A is the second that Hannah runs on the side walk.
and B is the second that Hannah runss on the cross street. Base on the information we have 2 equations for 2 unknowns .
A + B = 12
16 A + 3 B =  127  simply to add/subtract column we have
=> 16A + 3B  = 127 (1)
      3A + 3B = 36  (2)  runs on the side walk.
And 12-7 =5 seconds is the time that Hannah runs on the cross street.

Hannah spend 7 seconds for running on the sidewalk.

Here,

Hannah runs down the street to catch her bus.

She runs for a total of 12 seconds.

On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second.

Hannah runs a total distance of 127 feet.

We have to find, How many seconds did Hannah spend running on the sidewalk.

What is Linear equation in two variables?

Linear equations in two variables is defined as, If a, b, and r are real numbers then ax + by = r is called a linear equations in two variables.

Now,

Let X is the second that Hannah spend running on the sidewalk.

And, Y is the second that Hannah runes on the cross the street.

Since, She runs for a total of 12 seconds.

⇒ X + Y = 12 .... (i)

And,  On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second and Hannah runs a total distance of 127 feet.

⇒ 16 X + 3 Y = 127 ....(ii)

By solving equation (i) and (ii), we get;

⇒ X = 7 and Y = 5

Hence, Hannah spend 7 seconds for running on the sidewalk.

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