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zvonat [6]
3 years ago
10

Determine whether the experiment is a binomial experiment.

Mathematics
1 answer:
Stolb23 [73]3 years ago
6 0

Answer:

If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. If it is not a binomial experiment, explain why. You darw 5 cards one at a time from a standard deck you do not replace a card once it is drawn. The

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A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa
Gnesinka [82]

Answer:

The value of x would be \frac{5}{3}

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3

Differentiating with respect to x,

V'=100 - 80x + 12x^2

Again differentiating with respect to x,

V''=-80 + 24x

For maxima or minima,

V'=0

\implies 100 - 80x + 12x^2 = 0

\implies 3x^2 - 20x + 25=0

By quadratic formula,

x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}

x=\frac{20\pm \sqrt{400 - 300}}{6}

x=\frac{20\pm \sqrt{100}}{6}

x=\frac{20\pm 10}{6}

\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0
3 years ago
3. Cameron's car averages 25 miles
Triss [41]

Answer:15.2

Step-by-step explanation:380/25

8 0
3 years ago
Read 2 more answers
In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:
dlinn [17]

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

m\angle 1 = 180\degree- 160\degree

\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}

Alternate method:

m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]

\implies m\angle 1 = 180\degree- [360\degree-200\degree]

\implies m\angle 1 = 180\degree- 160\degree

\implies m\angle 1 = 20\degree

6 0
2 years ago
Read 2 more answers
When your income is more than your expenses, you have _____.
blagie [28]
<span>When your income is more than your expenses, y</span>ou have surplus

3 0
3 years ago
Read 2 more answers
Choose the correct option.Immersive Reader (1 Point) (A) z-5=2 is an equation and z=5 is the solution of this equation (B) t+2&g
melomori [17]

Answer:

<h3>Find the explanation below</h3>

Step-by-step explanation:

A) Given the equation z - 5 = 2

To get the solution, we will add 5 to both sides and find z as shown;

z - 5 = 2

z - 5 + 5 = 2 + 5

z + 0 = 2+5

z = 7

Hence z = 5 is not the solution of the equation but z = 7

B) Given the inequality expression t+2>5

Substract 2 from both sides of the equation;

t+2 - 2>5 - 2

t + 0> 3

t>3

Hence the solution t = 4 is not true for the expression. The solution is t > 3

C) Given the expression  x-2=2, to get the solution to the expression, you will add 2 to both sides of the equation;

x - 2+ 2 = 2 + 2

x + 0 = 4

x = 4

Therefore x = 4 is the solution of this equation.

Based on the question, only Option C is correct

8 0
2 years ago
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