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Masteriza [31]
2 years ago
12

Which number is closest to the median of the data set represented by the box-and-whisker plot below?

Mathematics
1 answer:
gregori [183]2 years ago
6 0

Answer:

84

Step-by-step explanation:

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Which of the following expressions are equivalent to x7/4.
Nataly [62]
I’m pretty sure it’s the second one
8 0
4 years ago
Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
You invest $15,000 to start a hot dog stand at the local sports complex. It costs you $.65 to produce each hot dog. How many hot
SCORPION-xisa [38]

Answer:

  • Below is the procedure to find the answer: 30,000 hot dogs.

Explanation:

The <em>average cost </em>is found dividing the total cost by the number of hot dogs:

         Average\text{ }cost=Total\text{ }cost/Number\text{ }of\text{ }hot\text{ }dogs

The total cost is the the sum of amount that you invest plus the product of the cost of producing each hot dog times the number of hot dogs:

Total\text{ }cost=investment+Number\text{ }of\text{ }hot\text{ }dogs\times cost\text{ }to\text{ }produce\text{ }each\text{ }hot\text{ }dog

  • Substitute the values:

           Total\text{ }cost=15,000+0.65x\\ \\ Averate\text{ }cost=(15,000+0.65x)/x=1.15

Where x is the number of hot dogs.

  • Solve for x from the equation:

         (15,000+0.65x)/x=1.15\\ \\ 15,000+0.65x=1.15x\\ \\ 15,000=1.15x-0.65x\\ \\ 15,000=0.5x\\ \\ 15,000/0.5=x\\ \\ 30,000=x\\ \\ x=30,000

Which shows you how you can find that the answer is 30,000 hot dogs.

8 0
3 years ago
F(x) =<br> 3х + 8<br> Tx - 3<br> Find f(x+h)
garik1379 [7]

Answer:

A. 3x + 3h + 8, B. Tx + Th - 3

Step-by-step explanation:

f(x+h) =3(x+h) + 8

         =3x + 3h + 8

f(x+h) = T(x+h) - 3

         = Tx + Th - 3

8 0
3 years ago
A balloon has a circumference of 23 cm. Use the circumference to approximate the surface area of the balloon to the nearest squa
AveGali [126]
To get the surface area of a sphere, we need to have the radius. We are given the circumference. The circumference formula is C=2πr.  We need to solve for r. 
23 = 2πr
r=3.66

The calculation for surface area is <span>A = 4πr^2. 
</span>A = 4<span>π(3.66)^2

Solve for A.

A= 168 cm^2.</span>
5 0
3 years ago
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