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Leni [432]
3 years ago
14

Don Trastmi is a respected investment consultant, but with a bit of a pessimistic attitude. He always projects correctly when th

e stock market goes down, but he is right only 6 out of 10 times when the market goes up. Don projects that next week the market will go up. What is the probability that the market will indeed go up
Mathematics
1 answer:
Mrrafil [7]3 years ago
3 0

Answer:

The answer is "\bold{\frac{6}{10}}"

Step-by-step explanation:

\to p(\frac{\text{Market is falling}}{\text{The expected demand is fall Don}}) =1\\\\\to p(\frac{\text{Market is falling}}{\text{The expected demand is rising Don}}) =0.6

That's why the answer is \to \frac{6}{10}

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In San Diego the average cost of gas is $4.15 per gallon. If a car has a fuel efficiency of 24 miles per gallon and the owner of
KIM [24]

Answer:

$25.94

Step-by-step explanation:

150 ÷ 24 = 6.25

6.25 × 4.15 = 25.9375

25.94

3 0
3 years ago
A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t
solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by  

V = V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x

First, we differentiate V(x) with respect to x, to get,

\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450

Equating the first derivative to zero, we get,

\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0

Solving, with the help of quadratic formula, we get,

x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2},

Again differentiation V(x), with respect to x, we get,

\frac{d^2(V(x))}{dx^2} = 24x - 180

At x =

\displaystyle\frac{5(3-\sqrt{3})}{2},

\frac{d^2(V(x))}{dx^2} < 0

Thus, by double derivative test, the maxima occurs at

x = \displaystyle\frac{5(3-\sqrt{3})}{2} for V(x).

Thus, largest volume the box can have occurs when x = \displaystyle\frac{5(3-\sqrt{3})}{2}}.

Maximum volume =

V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}

8 0
3 years ago
J.u.u<br> Convert to scientific notation 25000=
vova2212 [387]

2.5 ^ 10 ^ 4

I would really really appreciate it if you marked me as brainiest ☆〜(ゝ。∂)

3 0
3 years ago
Four friends go out to lunch and decide to split the bill evenly. The bill comes to $48.20. How much does each person owe?
jeka94
Four friends go out to lunch and they agree to split the bill evenly.
so now you have to divide the price by 4 because there's four people.
$48.20. / 4.
so your answer is $12.05 that's so much each person will pay for their share of bill.
8 0
3 years ago
Read 2 more answers
The total of 42,75,189,301 and 728
kow [346]
The total is found by adding all of the numbers together! the total is 1335
7 0
4 years ago
Read 2 more answers
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