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Natasha2012 [34]
2 years ago
12

The average starting salary for graduates at a university is $25,000 with a standard deviation of $4,000. if a histogram of the

data shows that it takes on a bell shape (normally distributed), the empirical rule says that approximately 68% of the graduates would have a starting salary between
Mathematics
1 answer:
kirill115 [55]2 years ago
3 0
The empirical rule says 68% of the distribution should fall within one standard deviation of the mean, so you should expect salaries between \$25000-\$4000=\$21000 and \$25000+\$4000=\$29000
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16x^2-24x+7=0 equation and/or inequalities
Ivenika [448]
It is quadratic equation.
First we have find delta given by formula: delta=b^{2}-4ac
where our 
a=16
b=-24
c=7
so, delta=24^{2}-4*16*7=128
Because delta is positive, there is real results.
Now we can use next formula x=\frac{-b+ \sqrt{delta} }{2a}
, to find roots (results, 2 results because its quadratic equation and delta is greater than 0)
x1=\frac{24+ \sqrt{128} }{2*16} = \frac{3+ \sqrt{2} }{4}
x2=\frac{24- \sqrt{128} }{2*16} = \frac{3- \sqrt{2} }{4} 
5 0
2 years ago
Read 2 more answers
Express 25.6 nanometres in metres, giving your answer in standard form.​
zhannawk [14.2K]

Answer:

10 to power of -8 so 0.00000001 I think

8 0
2 years ago
Find the dimensions of a rectangle with area 512 m2 whose perimeter is as small as possible. (If both values are the same number
Masja [62]

Answer:

<h2>√512 by √512 </h2>

Step-by-step explanation:

Length the length and breadth of the rectangle be x and y.

Area of the rectangle A = Length * breadth

Perimeter P = 2(Length + Breadth)

A = xy and P = 2(x+y)

If the area of the rectangle is 512m², then 512 = xy

x = 512/y

Substituting x = 512/y into the formula for calculating the perimeter;

P = 2(512/y + y)

P = 1024/y + 2y

To get the value of y, we will set dP/dy to zero and solve.

dP/dy = -1024y⁻² + 2

-1024y⁻² + 2 = 0

-1024y⁻² = -2

512y⁻² = 1

y⁻² = 1/512

1/y² = 1/512

y²  = 512

y = √512 m

On testing for minimum, we must know that the perimeter is at the minimum when y = √512

From xy = 512

x(√512) = 512

x = 512/√512

On rationalizing, x = 512/√512 * √512 /√512

x = 512√512 /512

x = √512 m

Hence, the dimensions of a rectangle is √512 m  by √512 m

5 0
2 years ago
HELP PLEASE. A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be rep
san4es73 [151]

For this case we have that the cost of each pizza is given by the following function:

S (r) = 0.1 \pi * r ^ 2

Where:

r: It's the radius of the pizza

IF a pizza cost $26.32 we have:

26.32 = 0.1 \pi * r ^ 2

We cleared the radius, using \pi = 3.14:

\frac {26.32} {0.1} = \pi * r ^ 2\\263.2 = 3.14r ^ 2\\\frac {263.2} {3.14} = r ^ 2\\83.82 = r ^ 2\\r = \pm \sqrt {83.82}

We choose the positive value:

r = 9.15

So, the radius of the pizza is 9.16 \ in

Then, the diameter is: 2r = 2 * 9.15 = 18.30 \ in

Finally, the diameter of the pizza is:18.30 \ in

Answer:

Option B

4 0
2 years ago
Read 2 more answers
You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. W
stellarik [79]

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

h(t) = -0.08t^{2} + 1.6t + 2

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2

The initial height of the balloon is 2 feet.

4 0
2 years ago
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