Please help!!! I’m having trouble with this question

Encyclopedia Britannica's list of 20 World Class Orchestras include the following from the United States: Boston Symphony Orches

ANEK [815]

Given:

<span>1. Boston Symphony Orchestra,
2. Cleveland Orchestra,
3. Chicago Symphony Orchestra,
4. Los Angeles Philharmonic,
5. New York Philharmonic,
6. Philadelphia Orchestra,
7. San Francisco Symphony

The probability that it will include at least one group from the US:

5/20 *7/20 = 0.0875

The probability that all 5 will be from the US:

7/20 = 0.35

</span>

5 0

4 years ago

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Chlorofluorocarbons (CFCs) were used as propellants in spray cans until their buildup in the atmosphere started destroying the o

melamori03 [73]

Answer:

a) C(2000)=1915

C(2014)=1915

b) $C'(2000)=-\frac{275}{14}$

$C'(2014)=-\frac{275}{14}$

c) $C(t)=-\frac{275}{14}t+\frac{288405}{7}$

d) t=2021

e) too early

Step-by-step explanation:

a)

Since C(t) is the concentration of CFCs in ppt in year t, all we need to do to solve this part is determine what the concentration of CFCs is in years 2000 and 2014. Luckily for us, the problem already gives us those values, so:

C(2000)=1915 concentration in year 2000

C(2014)=1915 concentration in year 2014

b)

By definition, the derivative of a function at a given point is interpreted as the slope of the tangent line to the point of interest, so in order to find this answer, we need to find the slope of the line. Since the problem specifies that the behavior is linear, this means that the slope will always be the same no matter the year, so we get:

$m=C'(t)=\frac{C'(t_{2})-C'(t_{1})}{t_2-t_1}$

so:

$C'(t)=\frac{1640-1915}{2014-2000}=-\frac{275}{14}\approx -19.64$

therefore:

$C'(2000)=-\frac{275}{14}$

$C'(2014)=-\frac{275}{14}$

c)

Since the behavior is linear, we can calculate it with the point-slope form of the line which is:

$y-y_{1}=m(x-x_{1})$

in this case:

$C(t)-C(t_1)=C'(t)(t-t_{1})$

so we get:

$C(t)-1915=-\frac{275}{14}(t-2000)$

and we can now solve for C(t) so we get:

$C(t)=-\frac{275}{14}t+\frac{275000}{t}+1915$

for a final answer of:

$C(t)=-\frac{275}{14}t+\frac{288405}{7}$

d)

So next we solve the equation for C(t)=1500 so we get:

$1500=-\frac{275}{14}t+\frac{288405}{7}$

$1500-\frac{288405}{7}=-\frac{275}{14}t$

$-\frac{277905}{7}=-\frac{275}{14}t$

$t=2021 \frac{7}{55}$

so we will reach that concentration level at the year 2021 approximately.

e)

Since the second derivative of the concentration function is greater than zero, this means that the original function might be a function in the form: .

This means that the decrease of the concentration levels is slower than that of a linear equation. So the projected date will be too early than the real date.

8 0

3 years ago

For what of x is the equation 2(x - 12) + x = 36?

blsea [12.9K]

Answer:

The answer is J. 20 substitute it in and it works.

8 0

3 years ago

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A criminal has escaped in a train wreck. The police believe he could have traveled no more than 7 mi in any direction from the w

adelina 88 [10]

Answer:

A = 153.94 sq mi

Step-by-step explanation:

In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following

A = $\pi r^{2}$

A = $\pi 7^{2}$

A = $\pi 49$

A = 153.94 sq mi

A total of 153.94 square miles must be searched.

5 0

3 years ago

Lesley purchased 5 beads at a total cost of 80 cents. The round beads cost 15 cents each, and the oval beads cost 20 each. The e

PtichkaEL [24]

Answer:

Lesley purchased 1 oval bead and 4 round beands.

Step-by-step explanation:

Given that Lesley purchased 5 beads at a total cost of 80 cents, and the round beads cost 15 cents each, and the oval beads cost 20 each, to determine what are the numbers of round and oval beads Kelsey purchased, the following calculation must be performed :

5 x 0.20 + 0 x 0.15 = 1

4 x 0.20 + 1 x 0.15 = 0.95

2 x 0.20 + 3 x 0.15 = 0.85

1 x 0.20 + 4 x 0.15 = 0.80

Therefore, Lesley purchased 1 oval bead and 4 round beands.

4 0

3 years ago