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katrin2010 [14]

3 years ago

8

A small pond contains 8 catfish and two bluegill. If eight fish are caught at random what is the probability that all of them ar

e catfish

1 answer:

blagie [28]3 years ago

5 0

There is a high probability of all of them being catfish since there are 8 catfish in total and since 8 were randomly caught. I don’t truly know.

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A round cake has a diameter of 30\text{ cm}30 cm30, start text, space, c, m, end text. Angela places the cake on a circular cake

VLD [36.1K]

Answer:

The circumference of the cake board is <u>35π cm</u>.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of π.

Now, to find the circumference of the cake board.

As, given diameter of cake = 30 cm.

And diameter of cake board is 5 cm longer than that of the cake.

Thus, the diameter of cake board is:

$30\ cm+5\ cm=35\ cm.$

So, to find the circumference we need radius, by putting formula:

$Radius(r)=\frac{Diameter}{2}$

$Radius(r)=\frac{35}{2}$

$Radius(r)=17.5\ cm.$

Now, to get the circumference of the cake board we put formula:

$Circumference=2\pi r.$

$Circumference=2\times \pi \times 17.5$

$Circumference=35\pi \ cm.$

Therefore, the circumference of the cake board is 35π cm.

4 0

3 years ago

If sin 0 = 7/25, find csc 0

kipiarov [429]

Answer:

$csc(\theta)=\frac{25}{7}$

Step-by-step explanation:

We know that:

$sin(\theta)=\frac{7}{25}$

And we want to find:

$csc(\theta)$

Remember that there is a trigonometric identity that relates the $sin(\theta)$ function with the $csc(\theta)$ function

$csc(\theta)=\frac{1}{sin(\theta)}$

Then if $sin(\theta)=\frac{7}{25}$ this means that:

$csc(\theta)=\frac{1}{\frac{7}{25}}$

Finally:

$csc(\theta)=\frac{25}{7}$

3 0

3 years ago

Read 2 more answers

Randall wants to mix 50 lb of nuts worth $2 per lb with some nuts worth $7 per lb to make a mixture worth $6 per lb. How many po

defon

A = nuts of $2/lb

B = nuts of $7/lb

let's say we'll mix "x" lbs of B to get a mixture with A of "y" lbs, therefore

$\bf \begin{array}{lcccl} &\stackrel{lbs}{quantity}&\stackrel{\textit{cost}}{per~lb}&\stackrel{\textit{cost}}{total}\\ \cline{2-4}&\\ A~ nuts&50&2&100\\ B~nuts&x&7&7x\\ \cline{2-4}&\\ mixture&y&6&6y \end{array} \\\\\\ \begin{cases} 50+x=\boxed{y}\\ 100+7x=6y \end{cases}\qquad \qquad \implies 100+7x=6\left( \boxed{50+x} \right) \\\\\\ 100+7x=300+6x\implies \blacktriangleright x=200 \blacktriangleleft$

3 0

3 years ago

Matttttttttttttttttthhhhhhhhhh , HELLPPP !

Harman [31]

here we have 3X to 5 seventh power in radical form

$3x^{5/7}$

we need write this in radical form we knwo that $x^{1/2} =\sqrt{x}$

so $3x^{5/7} =\sqrt[7]{3x^{5}}$

this will be the radical form .

8 0

3 years ago

Read 2 more answers

4c^2-8c-1=0 complete the square round to nearest hundredth

olga55 [171]

Move constant to other side
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2

c=2.12 or -0.12

8 0

3 years ago