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Luba_88 [7]
3 years ago
14

What is 67.24 in simple form

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0
What? it's already in simplest form so...
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Suppose that the probability density function for the length x in feet of some type of fish caught by sport fishermen is given b
Firdavs [7]

Answer:

The probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is 0.4375.

Step-by-step explanation:

The probability density function or p.d.f. for the length <em>x,</em> in feet, of some type of fish caught by sport fishermen is :

p(x) = \left \{{{(\frac{1}{4})\ ;\  0\leq x\leq 4 } \atop{0\ ;\ otherwise} \right.

The probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is:

P(0.25\leq X\leq 2)=\int\limits^{0.25}_{2} {(\frac{1}{4})} \, dx \\=|(\frac{1}{4})x|^{2}_{0.25}\\=(\frac{1}{4})(2-0.25)\\=0.4375

Thus, the probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is 0.4375.

8 0
3 years ago
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
Kryger [21]

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

We are given a circle with the equation:

x^2+y^2-2x-8=0

And we want to select the statements that are true.

First, we can convert the equation into standard form. We can group each variable:

(x^2-2x)+(y^2)=8

And complete the square for the first term:

(x^2-2x+1)+(y^2)=8+1

Factor and simplify:

(x-1)^2+y^2=9

We can rewrite our equation as:

(x-(1))^2+(y-(0))^2=(3)^2

So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.

In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).

8 0
3 years ago
Read 2 more answers
A 25-year, $1,000 par value bond has an 8.5% annual coupon. The bond currently sells for $875. If the yield to maturity remains
Whitepunk [10]

Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.

<h3>What is the price of the bond five years from now?</h3>

The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.

Yield to matuity can be determined using a financial calculator:

Cash flow in year 0 = -875

Cash flow each year from year 1 to 25 = 85

Cash flow in year 25 = $1000

Yield to matuity = 9.86%

Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]

Future price factor = [1 - (1/YTM)^n] / YTM

= [1 - 1/0.0986^20] 0.0986 = 8.595555

[85 x 8.595555 ] + 152.478323 = $883.10

To learn more about yield to maturity, please check: brainly.com/question/26484024

4 0
2 years ago
Which table shows the same relationship as y = -x^2 + 3x?
kkurt [141]

Answer:

H

Step-by-step explanation:

given y = -x² + 3x.

let f(x) be y.

f(-2) = -(-2)² + 3(-2) = -10

f(-1) = -(-1)² + 3(-1) = -4

f(0) = -(0)² + 3(0) = 0

f(1) = -(1)² + 3(1) = 2

f(2) = -(2)² + 3(2) = 2

8 0
2 years ago
Find the probability of drawing a 10 from a standard deck<br> of 52 cards,
Bond [772]

Answer:

1/13

Step-by-step explanation:

4 kings 52 cards in total

4/52=1/13

6 0
3 years ago
Read 2 more answers
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