The length (L) of a rectangle of fixed area varies inversely as the width (W).

A cylinder is 12 feet high and has a diameter of 10 feet. in cubic feet, what is the approximate volume of the cylinder

Mice21 [21]

A cylinder is 12 feet high has a diameter of 10 feet in cubic feet

4 0

2 years ago

4. Identify the term with coefficient -3 in the expression: 9a3 + 4b2 - 3c + 11

Mrrafil [7]

Answer:

-3 is the coefficient of c.

Step-by-step explanation:

The given expression is :

9a³ + 4b² - 3c + 11

We need to find the term with coefficient -3 in the expression.

The coefficient is defined as a number or quantity placed with a variable.

The coefficient of a³ = 9

The coefficient of b² = 4

The coefficient of c = -3

Hence, -3 is the coefficient of c.

8 0

2 years ago

When your class visited the aquarium, the costs totaled the maximum

yanalaym [24]

Answer:

I think it's A

Step-by-step explanation:

Please correct me if I'm wrong

7 0

3 years ago

10 points. Please help me with numbers 9-13. Numbers 9-13 is the picture.

melomori [17]

Answer:

x = 18

y = 15

Step-by-step explanation:

Remark

Step One

The main step is to realize that if the lower left hand angle is 90 degrees, then the upper left hand angle is also 90. That is because the interior angles of parallel lines are supplementary. If one of the angle is 90 degrees, so is the other.

Conclusion from the Remark

5x = 90

x = 90/5

x = 18 degrees

Step Two

Find y

y is just a bit harder to find . The safest way is to add all four interior angles together. For any trap*zoid (you cannot spell this word properly. The editor has a fit), the interior angles add up to 360 degrees.

So just add the 4 angles together and equate to 360

5(y + 11) + 4y - 10 + 90 + 90 = 360 Combine like terms

5(y + 11) + 4y - 10 + 180 = 360 Combine again

5(y + 11) + 4y + 170 = 360 Subtract 170 from both sides

5(y + 11) + 4y = 360 - 170 Combine like terms

5(y + 11) + 4y = 190 Remove the brackets

5y + 55 + y4 = 190 Combine like terms

9y + 55 = 190 Subtract 55 from both sides.

9y = 190 - 55

9y = 135 Divide by 9

y = 135 / 9

y = 15

8 0

3 years ago

The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:

klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event E is:

$P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}$

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

$E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}= 2.5882\approx2.59$

If the variable X follows a Poisson distribution with parameter λ = 7.56 then the probability function is:

$P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...$

Compute the probability of X = 0 as follows:

$P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075$

Compute the probability of X = 1 as follows:

$\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943$

Compute the probabilities for the rest of the values of X in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of X the Poisson probability is approximately equal to the empirical probability.

5 0

3 years ago