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STatiana [176]
3 years ago
5

A fish tank contains 9 Goldfish and 7 Angelfish. If one fish was randomly removed from the tank what is the

Mathematics
1 answer:
Sidana [21]3 years ago
8 0

Answer: 7/16

Step-by-step explanation:

7+9=16

And 7 out of 16 is angel fish, making the probability 7/16

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Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t
Bezzdna [24]

Given a polynomial p(x) and a point x_0, we have that

p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

(x+4)(x)(x-5) = x(x+4)(x-5)

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}

To fix the correct value for a, we impose f(4)=96:

f(4) = 4a(4+4)(4-5) = -32a = 96

And so we must impose

-32a=96 \iff a = -\dfrac{96}{32} = -3

So, the function we're looking for is

f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x

4 0
3 years ago
If you go to school for 4 hours a day. Every week for a month. What's the total amount of hours you attend school each month ?
Sholpan [36]

Assuming you go to school for a week (7 days), you will go to school 7 * 4 = 28 hours in a week. There are about 4 weeks in a month, so you would do 28 * 4 = <u>112 hours</u>. Your answer is 112 hours.

7 0
3 years ago
Read 2 more answers
Solving systems by Substitution Homework y=x+4 y=x-3​
zvonat [6]
There is no solution for this equation since they have the same slope, x/1. The only difference between these two is that their y intercepts are different meaning that they will be parallel lines that will never intersect among one other. For example, think of it as two separate lines that are have the same slope and never gain more distance/units from one another.


Solve:

To solve, you have to get one of this equations into a Ax+By=C equation form, standard equation. Let’s change y=x+4 into a standard equation.

We have to get x and y together and 4 as C.
So let’s subtract x from both sides;

y=x+4
-x -x
————————
-x+y=4

This is a standard equation.

Now let’s substitute.

take the standard equation and plug in y which is x+4 since there is a equation meaning it’s y=x+4


-x+(x+4)=4


Let’s simplify this mess.


-x+x equals 0. So we are left with 4=4.

Subtract 4 from both sides and we get 0=0



This means there is no solution. Hoped this helped.
8 0
3 years ago
So can now the anser to math
Rama09 [41]

Answer:

Where is the picture?

Step-by-step explanation:

Have a great day

4 0
3 years ago
Select the correct answer.
blsea [12.9K]

Answer: as the sample size is approximately large, the margin of the error is 0.15

Step-by-step explanation:

4 0
3 years ago
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