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3 years ago

If a seed is planted, it has a 85% chance of growing into a healthy plant.

Mathematics

1 answer:

nalin [4]3 years ago

5 0

Answer:

Step-by-step explanation:

prob(grow) = .65

prob(not grow) = .35

prob(1 of 11 will not grow)

= C(11,1)(.35)(.65)^10

= .05183

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Use the symbol > to compare -3.5 and -1.5

dybincka [34]

-1.5 is the answer because it is 75

3 0

3 years ago

SOLVE THIS QUESTION<br><br>

Serga [27]

Answer:

Step-by-step explanation:

dfs

3 0

3 years ago

Complete the square and write in standard form. Show all work.What would be the conic section:CircleEllipseHyperbolaParabola

mote1985 [20]

ANSWER

This is an ellipse. The equation is:

$\frac{(x-1)^2}{3^2}+\frac{(y+4)^2}{4^2}=1$

EXPLANATION

We have to complete the square for each variable. To do so, we have to take the first two terms and compare them with the perfect binomial squared formula,

$(a+b)^2=a^2+2ab+b^2$

For x we have to take 16x² and -32x. Since the coefficient of x is not 1, first, we have to factor out the coefficient 16,

$16x^2-32x=16(x^2-2x)$

Now, the first term of the expanded binomial would be x and the second term -2x. Thus, the binomial is,

$(x-1)^2=x^2-2x+1$

To maintain the equation, we have to subtract 1,

$16(x^2-2x+1-1)=16((x-1)^2-1)=16(x-1)^2-16$

Now, we replace (16x² - 32x) from the given equation by this equivalent expression,

$16(x-1)^2-16+9y^2+72y+16=0$

The next step is to do the same for y. We have the terms 9y² + 72y. Again, since the coefficient of y² is not 1, we factor out the coefficient 9,

$9y^2+72y=9(y^2+8y)$

Following the same reasoning as before, we have that the perfect binomial squared is,

$(y+4)^2=y^2+8y+16$

Remember to subtract the independent term to maintain the equation,

$9(y^2+8y)=9(y^2+8y+16-16)=9((y+4)^2-16)=9(y+4)^2-144$

And now, as we did for x, replace the two terms (9y² + 72y) with this equivalent expression in the equation,

$16(x-1)^2-16+9(y+4)^2-144+16=0$

Add like terms,

$\begin{gathered} 16(x-1)^2+9(y+4)^2+(-16-144+16)=0 \\ 16(x-1)^2+9(y+4)^2-144=0 \end{gathered}$

Add 144 to both sides,

$\begin{gathered} 16(x-1)^2+9(y+4)^2-144+144=0+144 \\ 16(x-1)^2+9(y+4)^2=144 \end{gathered}$

As we can see, this is the equation of an ellipse. Its standard form is,

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$

So the next step is to divide both sides by 144 and also write the coefficients as fractions in the denominator,

$\begin{gathered} \frac{16(x-1)^2}{144}+\frac{9(y+4)^2}{144}=\frac{144}{144} \\ \\ \frac{(x-1)^2}{\frac{144}{16}}+\frac{(y+4)^2}{\frac{144}{9}}=1 \end{gathered}$

Finally, we have to write the denominators as perfect squares, so we identify the values of a and b. 144 is 12², 16 is 4² and 9 is 3²,

$\frac{(x-1)^2}{(\frac{12}{4})^2}+\frac{(y+4)^2}{(\frac{12}{3})^2}=1$

Note that we can simplify a and b,

$\frac{12}{4}=3\text{ and }\frac{12}{3}=4$

Hence, the equation of the ellipse is,

$\frac{(x-1)^2}{3^2}+\frac{(y+4)^2}{4^2}=1$

3 0

1 year ago

what power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent

sergiy2304 [10]

Answer:

The power for the volume of the cube is '3'.

Exponent form of the volume is $(\frac{1}{3})^3$

Volume of the cube is $\frac{1}{27}$ inch³.

Step-by-step explanation:

We are given,

A cube with side equal to $\frac{1}{3}$ inches.

As we know,

Volume of a cube = $side^{3}$

Thus, we get,

Volume of the given cube is,

Volume = $(\frac{1}{3})^3$

i.e. Volume = $\frac{1}{27}$ inch³

Thus, we have,

The power for the volume of the cube is '3'.

Exponent form of the volume is $(\frac{1}{3})^3$

Volume of the cube is $\frac{1}{27}$ inch³.

4 0

3 years ago

Read 2 more answers

Write an algebraic equation to solve for the triangle’s height. Area of the triangle =36.8 inches . Height is x and base is 4.6

Minchanka [31]

The formula to find the Height of a triangle when you have the Area and the base is H = 2 * A/b
if the Area is 36.8 then divide it by 4.6. You get 8. put 36.8 in calculator first, then 4.6 = 8
2 x 8 = 16...so the answer should be 16 inches.
2 is in the formula to multiply to the number you get after dividing the base into the Area.
16 Answer

3 0

3 years ago