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STALIN [3.7K]
2 years ago
8

This dot plot is not symmetric, and the data set has two

Mathematics
2 answers:
Natasha_Volkova [10]2 years ago
5 0

Answer:

The best measure of center for this dot plot is the median.

Step-by-step explanation:

miskamm [114]2 years ago
5 0
The median is your answer
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You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water you
NARA [144]

Answer:

When do you hit the water?

1.075 seconds after you jump.

What is your maximum height?

the maximum height is 12.5626 ft

Step-by-step explanation:

The equation:

h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

Using the Bhaskara's formula, we get:

t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}

Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)

The positive solution is:

t = (-6 - 28.4)/-32 = 1.075

So you hit the water 1.075 seconds after you jump.

What is your maximum height?

The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.

We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

Then in the case of our equation:

h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

Evaluating the height equation in that time will give us the maximum height, which is:

h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

6 0
3 years ago
Simplify the expression shown. You must show your work to receive credit.
ZanzabumX [31]

ANSWER

12 \sqrt{5}

EXPLANATION

The given expression is

\sqrt{2}  \times  \sqrt{72}  \times  \sqrt{5}

The middle radical contains a perfect square.

\sqrt{2}  \times  \sqrt{36 \times 2}  \times  \sqrt{5}

\sqrt{2}  \times  \sqrt{36}   \times  \sqrt{2} \times  \sqrt{5}

6\sqrt{2}  \times  \sqrt{2} \times  \sqrt{5}

Note that:

\sqrt{a}  \times  \sqrt{a}  = a

6\times 2 \sqrt{5}  = 12 \sqrt{5}

4 0
3 years ago
Please help!!<br> Picture shown!
Anestetic [448]

Answer:

3x - 6y = -12

x - 2y = -8

3x - 6y = -12

-3x +6y= 24

no solutions

inconsistent

5 0
3 years ago
A retailer ordered a combination of 50 black and white sweatshirts. Each white sweatshirt cost him $10 and
Brut [27]

The number of white  sweatshirts is 28

Step-by-step explanation:

Let ordered black shirts be represented by b

Let ordered white shirts be represented by w

So total sweatshirts will be represented by the equation

b+w=50

The total cost of the ordered sweatshirts will be represented by

10b + 12 w= $556

For simultaneous equations as;

b+w=50

10b+12w=556

solving the equations using substitution method where b=50-w

10(50-w)+12w=556

500-10w+12w=556

-10w+12w=556-500

2w=56

w=56/2= 28

b=50-w=50-28=24

Number of white  sweatshirts  is 28

Learn More

Simultaneous equation :brainly.com/question/12919422

Keyword : cost

#LearnwithBrainly

4 0
3 years ago
I really need help with this one please help
Dominik [7]

Yo sup??

a.For this part just draw a triangle with sides 4,8 and 8 inches respectively.

The sides having 8 inches should make equal angle with the base side.

b.One angle is 20

The other two angles be x and y

but x=y because its an isosceles triangle

x+y+20=180

2x=160

x=80

Hope this helps.

5 0
3 years ago
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